{"board": "BBBoAAooooCoDDCo", "size": 4, "moves": 1, "solution": ["A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (4×4) solver.\n\nInput: 16-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 4x4\nBoard: BBBoAAooooCoDDCo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "AAoooBBoCCDDEEFF", "size": 4, "moves": 1, "solution": ["A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (4×4) solver.\n\nInput: 16-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 4x4\nBoard: AAoooBBoCCDDEEFF\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "BAAoBooCBooCDDDo", "size": 4, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (4×4) solver.\n\nInput: 16-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 4x4\nBoard: BAAoBooCBooCDDDo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "BAAoBCDDECooEFFF", "size": 4, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (4×4) solver.\n\nInput: 16-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 4x4\nBoard: BAAoBCDDECooEFFF\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "oAAoBoCCBDDoEEFF", "size": 4, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (4×4) solver.\n\nInput: 16-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 4x4\nBoard: oAAoBoCCBDDoEEFF\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "oAAoBoCCBoooDDEE", "size": 4, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (4×4) solver.\n\nInput: 16-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 4x4\nBoard: oAAoBoCCBoooDDEE\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "oAABCCCBDDDoEEoo", "size": 4, "moves": 2, "solution": ["Bv1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (4×4) solver.\n\nInput: 16-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 4x4\nBoard: oAABCCCBDDDoEEoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>1\n"]}} {"board": "AAooBCCDBEEDFFoo", "size": 4, "moves": 1, "solution": ["A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (4×4) solver.\n\nInput: 16-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 4x4\nBoard: AAooBCCDBEEDFFoo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "AAoBooCBooCooooo", "size": 4, "moves": 2, "solution": ["Bv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (4×4) solver.\n\nInput: 16-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 4x4\nBoard: AAoBooCBooCooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "BCDEBCDEAAooFFGG", "size": 4, "moves": 1, "solution": ["A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (4×4) solver.\n\nInput: 16-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 4x4\nBoard: BCDEBCDEAAooFFGG\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "BoooBCooBCooAAoo", "size": 4, "moves": 1, "solution": ["A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (4×4) solver.\n\nInput: 16-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 4x4\nBoard: BoooBCooBCooAAoo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "AAooBBCCDDooooEE", "size": 4, "moves": 1, "solution": ["A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (4×4) solver.\n\nInput: 16-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 4x4\nBoard: AAooBBCCDDooooEE\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "BAACBooCDDECooEo", "size": 4, "moves": 2, "solution": ["Cv1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (4×4) solver.\n\nInput: 16-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 4x4\nBoard: BAACBooCDDECooEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>1\n"]}} {"board": "BAAoBCDDBCEEFFoo", "size": 4, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (4×4) solver.\n\nInput: 16-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 4x4\nBoard: BAAoBCDDBCEEFFoo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "BoooBCooBCoDAAoD", "size": 4, "moves": 2, "solution": ["D^1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (4×4) solver.\n\nInput: 16-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 4x4\nBoard: BoooBCooBCoDAAoD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>2\n"]}} {"board": "oAABCDDBCEEBooFF", "size": 4, "moves": 3, "solution": ["F<1", "Bv1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (4×4) solver.\n\nInput: 16-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 4x4\nBoard: oAABCDDBCEEBooFF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Bv1,A>1\n"]}} {"board": "AABCDoBCDoooEEEo", "size": 4, "moves": 3, "solution": ["Bv1", "Bv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (4×4) solver.\n\nInput: 16-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 4x4\nBoard: AABCDoBCDoooEEEo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>2\n"]}} {"board": "oAABCCCBoDDDEEEo", "size": 4, "moves": 3, "solution": ["D<1", "Bv1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (4×4) solver.\n\nInput: 16-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 4x4\nBoard: oAABCCCBoDDDEEEo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv1,A>1\n"]}} {"board": "oooooAABCCoBooDD", "size": 4, "moves": 3, "solution": ["D<1", "Bv1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (4×4) solver.\n\nInput: 16-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 4x4\nBoard: oooooAABCCoBooDD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv1,A>1\n"]}} {"board": "oBBBooCDooCDoAAD", "size": 4, "moves": 3, "solution": ["B<1", "D^1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (4×4) solver.\n\nInput: 16-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 4x4\nBoard: oBBBooCDooCDoAAD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,D^1,A>1\n"]}} {"board": "AAoBCooBCoDDEEFF", "size": 4, "moves": 3, "solution": ["D<1", "Bv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (4×4) solver.\n\nInput: 16-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 4x4\nBoard: AAoBCooBCoDDEEFF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv1,A>2\n"]}} {"board": "oBBBoooCDDDCoAAC", "size": 4, "moves": 3, "solution": ["B<1", "C^1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (4×4) solver.\n\nInput: 16-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 4x4\nBoard: oBBBoooCDDDCoAAC\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,C^1,A>1\n"]}} {"board": "AAoBCCCBoDDDooEE", "size": 4, "moves": 3, "solution": ["D<1", "Bv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (4×4) solver.\n\nInput: 16-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 4x4\nBoard: AAoBCCCBoDDDooEE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv1,A>2\n"]}} {"board": "oAABoCCBoDDDEEEo", "size": 4, "moves": 3, "solution": ["D<1", "Bv1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (4×4) solver.\n\nInput: 16-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 4x4\nBoard: oAABoCCBoDDDEEEo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv1,A>1\n"]}} {"board": "oBBBAAoCoooCoDDD", "size": 4, "moves": 3, "solution": ["D<1", "Cv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (4×4) solver.\n\nInput: 16-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 4x4\nBoard: oBBBAAoCoooCoDDD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Cv1,A>2\n"]}} {"board": "oBBBAAoCDDoCooEE", "size": 4, "moves": 3, "solution": ["E<1", "Cv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (4×4) solver.\n\nInput: 16-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 4x4\nBoard: oBBBAAoCDDoCooEE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Cv1,A>2\n"]}} {"board": "BCooBCoDoCEDAAED", "size": 4, "moves": 3, "solution": ["D^1", "E^1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (4×4) solver.\n\nInput: 16-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 4x4\nBoard: BCooBCoDoCEDAAED\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E^1,A>2\n"]}} {"board": "oAABoCCBDDoBooEE", "size": 4, "moves": 3, "solution": ["E<1", "Bv1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (4×4) solver.\n\nInput: 16-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 4x4\nBoard: oAABoCCBDDoBooEE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv1,A>1\n"]}} {"board": "oooBCAABCoDDCooo", "size": 4, "moves": 3, "solution": ["D<1", "Bv2", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (4×4) solver.\n\nInput: 16-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 4x4\nBoard: oooBCAABCoDDCooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv2,A>1\n"]}} {"board": "oBBBCoooCAADoEED", "size": 4, "moves": 3, "solution": ["B<1", "D^2", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (4×4) solver.\n\nInput: 16-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 4x4\nBoard: oBBBCoooCAADoEED\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,D^2,A>1\n"]}} {"board": "AAoBoCCBDEEEDoFF", "size": 4, "moves": 5, "solution": ["A>1", "D^2", "E<1", "Cv1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (4×4) solver.\n\nInput: 16-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 4x4\nBoard: AAoBoCCBDEEEDoFF\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,D^2,E<1,Cv1,A>1\n"]}} {"board": "AABCooBCoDoCoDEE", "size": 4, "moves": 5, "solution": ["Bv1", "D^1", "E<1", "Bv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (4×4) solver.\n\nInput: 16-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 4x4\nBoard: AABCooBCoDoCoDEE\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,D^1,E<1,Bv1,A>2\n"]}} {"board": "BCCCBooDAAoDoEEo", "size": 4, "moves": 5, "solution": ["A>1", "Bv1", "B<1", "D^1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (4×4) solver.\n\nInput: 16-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 4x4\nBoard: BCCCBooDAAoDoEEo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,Bv1,B<1,D^1,A>1\n"]}} {"board": "BBBCDAACDoooDEEE", "size": 4, "moves": 6, "solution": ["Cv1", "B>1", "C^1", "E<1", "Dv1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (4×4) solver.\n\nInput: 16-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 4x4\nBoard: BBBCDAACDoooDEEE\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,B>1,C^1,E<1,Dv1,A>1\n"]}} {"board": "BBBoCDDDCooEAAoE", "size": 4, "moves": 5, "solution": ["A>1", "Cv1", "C<1", "E^1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (4×4) solver.\n\nInput: 16-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 4x4\nBoard: BBBoCDDDCooEAAoE\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,Cv1,C<1,E^1,A>1\n"]}} {"board": "oooBAAoBCDDDCEEE", "size": 4, "moves": 6, "solution": ["A>1", "C^2", "D<1", "E<1", "Cv2", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (4×4) solver.\n\nInput: 16-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 4x4\nBoard: oooBAAoBCDDDCEEE\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,C^2,D<1,E<1,Cv2,A>1\n"]}} {"board": "AABCDEBCDEoCDFFF", "size": 4, "moves": 6, "solution": ["Bv1", "A>1", "C^1", "F<1", "Cv1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (4×4) solver.\n\nInput: 16-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 4x4\nBoard: AABCDEBCDEoCDFFF\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>1,C^1,F<1,Cv1,A>1\n"]}} {"board": "ooBoAABCoDDCooEE", "size": 4, "moves": 5, "solution": ["D<1", "E<2", "Bv2", "Bv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (4×4) solver.\n\nInput: 16-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 4x4\nBoard: ooBoAABCoDDCooEE\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,E<2,Bv2,Bv1,A>2\n"]}} {"board": "BCCCBDDDoAAEoooE", "size": 4, "moves": 5, "solution": ["Bv2", "B<1", "C<1", "E^2", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (4×4) solver.\n\nInput: 16-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 4x4\nBoard: BCCCBDDDoAAEoooE\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,B<1,C<1,E^2,A>1\n"]}} {"board": "BCCCBooDBAADEEoo", "size": 4, "moves": 5, "solution": ["E>1", "Bv1", "B<1", "D^1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (4×4) solver.\n\nInput: 16-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 4x4\nBoard: BCCCBooDBAADEEoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE>1,Bv1,B<1,D^1,A>1\n"]}} {"board": "oBBBCDDDCAAEoooE", "size": 4, "moves": 5, "solution": ["B<1", "Cv1", "C<1", "E^2", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (4×4) solver.\n\nInput: 16-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 4x4\nBoard: oBBBCDDDCAAEoooE\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,Cv1,C<1,E^2,A>1\n"]}} {"board": "AABCooBCDoBCDoEE", "size": 4, "moves": 5, "solution": ["D^1", "E<2", "Bv1", "Bv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (4×4) solver.\n\nInput: 16-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 4x4\nBoard: AABCooBCDoBCDoEE\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E<2,Bv1,Bv1,A>2\n"]}} {"board": "BCCCBDoEoDFEAAFE", "size": 4, "moves": 5, "solution": ["Bv1", "B<1", "E^1", "F^1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (4×4) solver.\n\nInput: 16-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 4x4\nBoard: BCCCBDoEoDFEAAFE\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,B<1,E^1,F^1,A>2\n"]}} {"board": "BBBoAAoCDEECDFFF", "size": 4, "moves": 5, "solution": ["A>1", "D^1", "F<1", "Dv1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (4×4) solver.\n\nInput: 16-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 4x4\nBoard: BBBoAAoCDEECDFFF\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,D^1,F<1,Dv1,A>1\n"]}} {"board": "AAoBCCoBDEEEDooo", "size": 4, "moves": 6, "solution": ["A>1", "C>1", "D^2", "E<1", "Cv1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (4×4) solver.\n\nInput: 16-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 4x4\nBoard: AAoBCCoBDEEEDooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,C>1,D^2,E<1,Cv1,A>1\n"]}} {"board": "oBAACoBDDCoEEEoooooFGGooF", "size": 5, "moves": 2, "solution": ["Cv1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oBAACoBDDCoEEEoooooFGGooF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>1\n"]}} {"board": "BBBoooAAoCDDoECoFFECoGGoo", "size": 5, "moves": 2, "solution": ["Cv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BBBoooAAoCDDoECoFFECoGGoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>2\n"]}} {"board": "AAooooooBoCCoBoDDEoFooEoF", "size": 5, "moves": 1, "solution": ["A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAooooooBoCCoBoDDEoFooEoF\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>3\n"]}} {"board": "oooBCDooBCDoAAoEEFFGooHHG", "size": 5, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oooBCDooBCDoAAoEEFFGooHHG\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "BoCCCBDooEoDAAEoDFFoooooo", "size": 5, "moves": 2, "solution": ["Ev2", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BoCCCBDooEoDAAEoDFFoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv2,A>1\n"]}} {"board": "BAAoCBoooCDDooooEEEFGGooF", "size": 5, "moves": 2, "solution": ["Cv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BAAoCBoooCDDooooEEEFGGooF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>2\n"]}} {"board": "oBoCDoBoCDEBFCoEoFoGEAAoG", "size": 5, "moves": 2, "solution": ["G^1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oBoCDoBoCDEBFCoEoFoGEAAoG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nG^1,A>2\n"]}} {"board": "BCAAoBCDDDEEFFFGHHooGIIJJ", "size": 5, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BCAAoBCDDDEEFFFGHHooGIIJJ\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "oBAAoCBDDDCEEFoooGFoHHGFo", "size": 5, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oBAAoCBDDDCEEFoooGFoHHGFo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "oAAooBBoCCDDDEoFGGEoFHHoo", "size": 5, "moves": 1, "solution": ["A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAAooBBoCCDDDEoFGGEoFHHoo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "BoAAoBoooCDoooCDEEoCFFGGG", "size": 5, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BoAAoBoooCDoooCDEEoCFFGGG\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "ooAAoBBBooooooCoDDDCooEEE", "size": 5, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooAAoBBBooooooCoDDDCooEEE\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "oBAAooBoCoDooCoDEoFFDEGGG", "size": 5, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oBAAooBoCoDooCoDEoFFDEGGG\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "BoAAoBCCCoDEooFDEoGFoEoGF", "size": 5, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BoAAoBCCCoDEooFDEoGFoEoGF\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "ooAABoCDDBoCEEoFoGHIFoGHI", "size": 5, "moves": 2, "solution": ["Bv1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooAABoCDDBoCEEoFoGHIFoGHI\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>1\n"]}} {"board": "oBoooCBAAoCBDDDoEEFFGGooo", "size": 5, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oBoooCBAAoCBDDDoEEFFGGooo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "oooBooooBooooCDoooCDAAooD", "size": 5, "moves": 2, "solution": ["D^1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oooBooooBooooCDoooCDAAooD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>3\n"]}} {"board": "AAoooBBoCCoooDooEEDooooDo", "size": 5, "moves": 1, "solution": ["A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAoooBBoCCoooDooEEDooooDo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>3\n"]}} {"board": "oAAooooBBCDoEECDFFGoHHoGo", "size": 5, "moves": 1, "solution": ["A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAAooooBBCDoEECDFFGoHHoGo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "AAooooooBBCCoooDoEEFDGGoF", "size": 5, "moves": 1, "solution": ["A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAooooooBBCCoooDoEEFDGGoF\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>3\n"]}} {"board": "BoAACBooDCBEoDooEooooEFFo", "size": 5, "moves": 2, "solution": ["Cv1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BoAACBooDCBEoDooEooooEFFo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>1\n"]}} {"board": "oAAooBCDDoBCEEoFGHoIFGHoI", "size": 5, "moves": 1, "solution": ["A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAAooBCDDoBCEEoFGHoIFGHoI\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "ooBCDEoBCDEFBGooFoGoooAAo", "size": 5, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooBCDEoBCDEFBGooFoGoooAAo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "ooAAoBooCCBDEEooDFFFoGGoo", "size": 5, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooAAoBooCCBDEEooDFFFoGGoo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "BBBoooCCCDooAADooEEooFFoo", "size": 5, "moves": 2, "solution": ["D^1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BBBoooCCCDooAADooEEooFFoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>1\n"]}} {"board": "oAAooBBCDDooCEoFFFEoooGGG", "size": 5, "moves": 1, "solution": ["A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAAooBBCDDooCEoFFFEoooGGG\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "BoCCCBDAAooDEEoFoGGGFooHH", "size": 5, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BoCCCBDAAooDEEoFoGGGFooHH\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "BCDDDBCAAEBCFoEGGFoEooHHo", "size": 5, "moves": 2, "solution": ["Ev1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BCDDDBCAAEBCFoEGGFoEooHHo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,A>1\n"]}} {"board": "BAAooBooCCoooDDEEFFFGGHHH", "size": 5, "moves": 1, "solution": ["A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BAAooBooCCoooDDEEFFFGGHHH\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "BoAAoBCCDEFooDEFGGHEIIoHo", "size": 5, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BoAAoBCCDEFooDEFGGHEIIoHo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "ooAAoooooBCCCDBEFFDGEHHHG", "size": 5, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooAAoooooBCCCDBEFFDGEHHHG\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "ooooooAAooBBCDEFFCDEGGCoo", "size": 5, "moves": 1, "solution": ["A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooooooAAooBBCDEFFCDEGGCoo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "BooooBAAooBCCCDEFooDEFoGG", "size": 5, "moves": 1, "solution": ["A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BooooBAAooBCCCDEFooDEFoGG\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "BCoooBCooooAADoEEoDFooGGF", "size": 5, "moves": 2, "solution": ["D^2", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BCoooBCooooAADoEEoDFooGGF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,A>2\n"]}} {"board": "oAAoBoCCoBDDDooEooFFEooGG", "size": 5, "moves": 2, "solution": ["Bv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAAoBoCCoBDDDooEooFFEooGG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "oAAooBCoDDBCEFFGGEHoIIEHo", "size": 5, "moves": 1, "solution": ["A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAAooBCoDDBCEFFGGEHoIIEHo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "BoCDEBoCDEFoGGGFoAAooHHHo", "size": 5, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BoCDEBoCDEFoGGGFoAAooHHHo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "AABoooCBooDCoEoDCoEoooooo", "size": 5, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AABoooCBooDCoEoDCoEoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "BCoDEBCoDEFCAAGFHIIGFHooo", "size": 5, "moves": 2, "solution": ["Gv1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BCoDEBCoDEFCAAGFHIIGFHooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nGv1,A>1\n"]}} {"board": "oAAoBoCooBoCoDoEEEDoooFFF", "size": 5, "moves": 2, "solution": ["Bv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAAoBoCooBoCoDoEEEDoooFFF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "oBAAoCBDDDCEoFFCEGHoIIGHo", "size": 5, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oBAAoCBDDDCEoFFCEGHoIIGHo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "AAoooBCoDEBCoDEBCFoEooFGG", "size": 5, "moves": 1, "solution": ["A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAoooBCoDEBCoDEBCFoEooFGG\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>3\n"]}} {"board": "oBAAoCBDDECFFFEoGGHIoooHI", "size": 5, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oBAAoCBDDECFFFEoGGHIoooHI\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "BooooBCDDDBCAAooEEEooooFF", "size": 5, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BooooBCDDDBCAAooEEEooooFF\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "BoAACBoDoCBEDFoGEoFHGEIIH", "size": 5, "moves": 2, "solution": ["Cv1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BoAACBoDoCBEDFoGEoFHGEIIH\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>1\n"]}} {"board": "oBAACoBDDCEoFFoEGHHoEGIIo", "size": 5, "moves": 2, "solution": ["Cv1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oBAACoBDDCEoFFoEGHHoEGIIo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>1\n"]}} {"board": "BCAAoBCDDEFCooEFoGGoooHHo", "size": 5, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BCAAoBCDDEFCooEFoGGoooHHo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "oAAooBCoDDBCEFGBoEFGHHooo", "size": 5, "moves": 1, "solution": ["A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAAooBCoDDBCEFGBoEFGHHooo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "ooBCDEFBCDEFBoDEAAooooooo", "size": 5, "moves": 1, "solution": ["A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooBCDEFBCDEFBoDEAAooooooo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "oAAooBCCCoBDoEEFDoGGFDooo", "size": 5, "moves": 1, "solution": ["A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAAooBCCCoBDoEEFDoGGFDooo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "ooAABoCDoBECDooEFGGGEFoHH", "size": 5, "moves": 2, "solution": ["Bv1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooAABoCDoBECDooEFGGGEFoHH\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>1\n"]}} {"board": "ooBCDooBCDoEAAooEoFFGGHHH", "size": 5, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooBCDooBCDoEAAooEoFFGGHHH\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "oooBCDEoBCDEoBooAAooFFFoo", "size": 5, "moves": 1, "solution": ["A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oooBCDEoBCDEoBooAAooFFFoo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "AAooBCDDEBCooEBCooEooFFFo", "size": 5, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAooBCDDEBCooEBCooEooFFFo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "oBBBooCoDEFCoDEFoAAoFGGHH", "size": 5, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oBBBooCoDEFCoDEFoAAoFGGHH\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "ooAABCoDoBCoDooEFFGHEooGH", "size": 5, "moves": 2, "solution": ["Bv1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooAABCoDoBCoDooEFFGHEooGH\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>1\n"]}} {"board": "AAooooBCDEoBCDEFoGGEFooHH", "size": 5, "moves": 1, "solution": ["A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAooooBCDEoBCDEFoGGEFooHH\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>3\n"]}} {"board": "BAAoCBDooCoDEEoFoGoHFoGoH", "size": 5, "moves": 2, "solution": ["Cv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BAAoCBDooCoDEEoFoGoHFoGoH\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>2\n"]}} {"board": "BCDDDBCEEEoAAoooFFoGooooG", "size": 5, "moves": 1, "solution": ["A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BCDDDBCEEEoAAoooFFoGooooG\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "oBAAooBoCDoooCDoEECDooooo", "size": 5, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oBAAooBoCDoooCDoEECDooooo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "BCAADBCooDoEEEoFFGGGHHHII", "size": 5, "moves": 2, "solution": ["Dv1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BCAADBCooDoEEEoFFGGGHHHII\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,A>1\n"]}} {"board": "BoCCCBDDDEFGHoEFGHooFAAoo", "size": 5, "moves": 1, "solution": ["A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BoCCCBDDDEFGHoEFGHooFAAoo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "BAACoBoDCEFGDCEFGDoHooIIH", "size": 5, "moves": 2, "solution": ["Cv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BAACoBoDCEFGDCEFGDoHooIIH\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>2\n"]}} {"board": "AAooooBBoCDDEECFFFoooooGG", "size": 5, "moves": 1, "solution": ["A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAooooBBoCDDEECFFFoooooGG\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>3\n"]}} {"board": "oAAoooBBBooooooooCCCoDDDo", "size": 5, "moves": 1, "solution": ["A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAAoooBBBooooooooCCCoDDDo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "ooooooBAAoCBooDCoEEDoFFFD", "size": 5, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooooooBAAoCBooDCoEEDoFFFD\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "AAooBCCDDBEEEFoGGGFooHHoo", "size": 5, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAooBCCDDBEEEFoGGGFooHHoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "oAAooBCDoEBCDFEBCoFoooooo", "size": 5, "moves": 1, "solution": ["A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAAooBCDoEBCDFEBCoFoooooo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "BCDDDBCAAooooooEFGGHEFooH", "size": 5, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BCDDDBCAAooooooEFGGHEFooH\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "BoAAoBoCDEooCDEFGHHHFGIII", "size": 5, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BoAAoBoCDEooCDEFGHHHFGIII\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "BAACoBoDCEoFDoEoFooooFGGG", "size": 5, "moves": 2, "solution": ["Cv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BAACoBoDCEoFDoEoFooooFGGG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>2\n"]}} {"board": "ooBBBoCCCoDEFoGDEFoGAAooG", "size": 5, "moves": 2, "solution": ["G^1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooBBBoCCCoDEFoGDEFoGAAooG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nG^1,A>3\n"]}} {"board": "ooAABCCCDBEFGDoEFGDoEFoHH", "size": 5, "moves": 2, "solution": ["Bv1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooAABCCCDBEFGDoEFGDoEFoHH\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>1\n"]}} {"board": "AAooBoCCDBEEEDoFFoGGHHoII", "size": 5, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAooBoCCDBEEEDoFFoGGHHoII\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "BBBooCDEFoCDEFGCDAAGHHHoG", "size": 5, "moves": 2, "solution": ["G^2", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BBBooCDEFoCDEFGCDAAGHHHoG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nG^2,A>1\n"]}} {"board": "oBoCoDBoCoDBECoooEooAAooo", "size": 5, "moves": 1, "solution": ["A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oBoCoDBoCoDBECoooEooAAooo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>3\n"]}} {"board": "oooooBoAAoBCCooDDDEooFFEo", "size": 5, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oooooBoAAoBCCooDDDEooFFEo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "AAoooBooCDBEECDFFGHHIIGJJ", "size": 5, "moves": 1, "solution": ["A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAoooBooCDBEECDFFGHHIIGJJ\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>3\n"]}} {"board": "BCDDDBCAAoEEFGGHHFoIooooI", "size": 5, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BCDDDBCAAoEEFGGHHFoIooooI\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "AABooCCBDooEoDoFEGGoFoHHo", "size": 5, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AABooCCBDooEoDoFEGGoFoHHo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "AAooBCCDEBFoDEBFoDEooGGGo", "size": 5, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAooBCCDEBFoDEBFoDEooGGGo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "ooAAoBBCDDoECoFoEGGFoEHHo", "size": 5, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooAAoBBCDDoECoFoEGGFoEHHo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "ooAAoBCCCoBooDEFFFDEoGGDo", "size": 5, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooAAoBCCCoBooDEFFFDEoGGDo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "BBBoCDEFGCDEFGCDAAGooooHH", "size": 5, "moves": 2, "solution": ["G^1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BBBoCDEFGCDEFGCDAAGooooHH\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nG^1,A>2\n"]}} {"board": "BoAACBDDoCEFFooEoooGHHooG", "size": 5, "moves": 2, "solution": ["Cv1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BoAACBDDoCEFFooEoooGHHooG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>1\n"]}} {"board": "ooAAooBBooCCCooDEFGoDEFGo", "size": 5, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooAAooBBooCCCooDEFGoDEFGo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "BoAAoBCCDEFGoDEFGoHHIIIoo", "size": 5, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BoAAoBCCDEFGoDEFGoHHIIIoo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "ooBBBoCCCoDAAEoDoFEoDoFoo", "size": 5, "moves": 2, "solution": ["Ev1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooBBBoCCCoDAAEoDoFEoDoFoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,A>2\n"]}} {"board": "ooooooAAoBCCDDBEEEFBoooFo", "size": 5, "moves": 2, "solution": ["Bv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooooooAAoBCCDDBEEEFBoooFo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "BCoooBCoooDCAAEDFFFEGGooo", "size": 5, "moves": 2, "solution": ["E^2", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BCoooBCoooDCAAEDFFFEGGooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^2,A>1\n"]}} {"board": "oAAoooBBBoooCCCDDDEEFFGGo", "size": 5, "moves": 1, "solution": ["A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAAoooBBBoooCCCDDDEEFFGGo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "AAooooBBBooCDEEoCDFFooooo", "size": 5, "moves": 1, "solution": ["A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAooooBBBooCDEEoCDFFooooo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>3\n"]}} {"board": "oBAAooBCoDooCEDoooEDFFGGG", "size": 5, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oBAAooBCoDooCEDoooEDFFGGG\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "oAAooBBooCDDooCEEFFCGGGHH", "size": 5, "moves": 1, "solution": ["A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAAooBBooCDDooCEEFFCGGGHH\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "BCAAoBCoDEBCFDEoGFDooGoHH", "size": 5, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BCAAoBCoDEBCFDEoGFDooGoHH\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "oooooBCDooBCDEooCoEoAAooo", "size": 5, "moves": 1, "solution": ["A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oooooBCDooBCDEooCoEoAAooo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>3\n"]}} {"board": "BAAooBCCooDDoooEEEFoGGoFo", "size": 5, "moves": 1, "solution": ["A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BAAooBCCooDDoooEEEFoGGoFo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "BBBoooCooooCAAoDCEEEDFFGG", "size": 5, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BBBoooCooooCAAoDCEEEDFFGG\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "BooooBAAoooCCooDDDoEFFGGE", "size": 5, "moves": 1, "solution": ["A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BooooBAAoooCCooDDDoEFFGGE\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "ooAAoBBoCCoooDDooEEFoGGGF", "size": 5, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooAAoBBoCCoooDDooEEFoGGGF\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "BooooBCCCDAAooDooEEooFFoo", "size": 5, "moves": 2, "solution": ["D^1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BooooBCCCDAAooDooEEooFFoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>3\n"]}} {"board": "ooAAooBBoooCDDooCoEoFFFEo", "size": 5, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooAAooBBoooCDDooCoEoFFFEo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "BBBooCDAAoCDoEECDFFoGGGoo", "size": 5, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BBBooCDAAoCDoEECDFFoGGGoo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "BCAAoBCDDDBEooooEoFFoGGGo", "size": 5, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BCAAoBCDDDBEooooEoFFoGGGo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "BCCCoBDAAoEDFGHEDFGHEIIGH", "size": 5, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BCCCoBDAAoEDFGHEDFGHEIIGH\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "AAooBCCDDBoEEoBFGGGoFoHHo", "size": 5, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAooBCCDDBoEEoBFGGGoFoHHo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "AAoooBBCCDooEoDFFEooGGooo", "size": 5, "moves": 1, "solution": ["A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAoooBBCCDooEoDFFEooGGooo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>3\n"]}} {"board": "BoCooBoCooooCDEoooDEooAAE", "size": 5, "moves": 2, "solution": ["E^1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BoCooBoCooooCDEoooDEooAAE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,A>1\n"]}} {"board": "BAAooBCCDDBEFFoGEHHoGIIoo", "size": 5, "moves": 1, "solution": ["A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BAAooBCCDDBEFFoGEHHoGIIoo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "AAooooBBBCDDooCEEooooooFF", "size": 5, "moves": 1, "solution": ["A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAooooBBBCDDooCEEooooooFF\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>3\n"]}} {"board": "BAAooBCCCooDoEoFDoEoFoGGG", "size": 5, "moves": 1, "solution": ["A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BAAooBCCCooDoEoFDoEoFoGGG\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "BBBoCDEEECDoFoGDHFoGoHAAo", "size": 5, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BBBoCDEEECDoFoGDHFoGoHAAo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "BCoDoBCoDoEFFFGEHAAGEHooo", "size": 5, "moves": 2, "solution": ["G^1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BCoDoBCoDoEFFFGEHAAGEHooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nG^1,A>1\n"]}} {"board": "BAAooBCCDoEEEDoFFoDoooooo", "size": 5, "moves": 1, "solution": ["A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BAAooBCCDoEEEDoFFoDoooooo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "oBCCCDBAAoDoEFoooEFoGGGoo", "size": 5, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oBCCCDBAAoDoEFoooEFoGGGoo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "ooAABCDEoBCDEoooDEFFoGGHH", "size": 5, "moves": 2, "solution": ["Bv1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooAABCDEoBCDEoooDEFFoGGHH\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>1\n"]}} {"board": "AAoooooooBCDDDBCEEoBCoFFF", "size": 5, "moves": 1, "solution": ["A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAoooooooBCDDDBCEEoBCoFFF\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>3\n"]}} {"board": "AAooooBoCDEBFCDEoFoDooFGG", "size": 5, "moves": 1, "solution": ["A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAooooBoCDEBFCDEoFoDooFGG\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>3\n"]}} {"board": "AAooBooCCBDDDoBooEFoGGEFo", "size": 5, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAooBooCCBDDDoBooEFoGGEFo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "ooAAooBBCCDDoEFGHoEFGHoII", "size": 5, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooAAooBBCCDDoEFGHoEFGHoII\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "BCCCoBAAoDBoEoDFGEHoFGoHo", "size": 5, "moves": 2, "solution": ["Dv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BCCCoBAAoDBoEoDFGEHoFGoHo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,A>2\n"]}} {"board": "BAAooBooCCDoEFGDoEFGDoHHH", "size": 5, "moves": 1, "solution": ["A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BAAooBooCCDoEFGDoEFGDoHHH\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "oBoCooBoCoDAAooDooEEFFFoo", "size": 5, "moves": 1, "solution": ["A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oBoCooBoCoDAAooDooEEFFFoo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "BCoooBCAAoBoDoEFoDGEFooGo", "size": 5, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BCoooBCAAoBoDoEFoDGEFooGo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "oAAoooBBoCooooCDDoEEoFFoo", "size": 5, "moves": 1, "solution": ["A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAAoooBBoCooooCDDoEEoFFoo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "BoCoDBECoDFEAAoFEGGoFoooo", "size": 5, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BoCoDBECoDFEAAoFEGGoFoooo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "BoCooBDCooBDCooooAAEooFFE", "size": 5, "moves": 2, "solution": ["E^2", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BoCooBDCooBDCooooAAEooFFE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^2,A>1\n"]}} {"board": "BAAooBoCCDBEooDFEGGDFooHH", "size": 5, "moves": 1, "solution": ["A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BAAooBoCCDBEooDFEGGDFooHH\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "AAoooooooBCoDoBCoDEBoooEo", "size": 5, "moves": 1, "solution": ["A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAoooooooBCoDoBCoDEBoooEo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>3\n"]}} {"board": "AAooooBooCDBEoCDoEoFGGGoF", "size": 5, "moves": 1, "solution": ["A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAooooBooCDBEoCDoEoFGGGoF\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>3\n"]}} {"board": "oBAAooBCDDEoCFGEHoFGoHIII", "size": 5, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oBAAooBCDDEoCFGEHoFGoHIII\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "ooAAoooBCDEEBCDFFFoooGGGo", "size": 5, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooAAoooBCDEEBCDFFFoooGGGo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "BAAooBooCCDDEooooEooooooo", "size": 5, "moves": 1, "solution": ["A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BAAooBooCCDDEooooEooooooo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "BooooBCAAoDCEFFDGEoooGooo", "size": 5, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BooooBCAAoDCEFFDGEoooGooo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "ooBoooCBooDCooEDoAAEDFFFo", "size": 5, "moves": 2, "solution": ["E^1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooBoooCBooDCooEDoAAEDFFFo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,A>1\n"]}} {"board": "oooooAAooBooCCBDDEEoooooo", "size": 5, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oooooAAooBooCCBDDEEoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "oBAAooBCCDEoooDEooFDGGoFo", "size": 5, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oBAAooBCCDEoooDEooFDGGoFo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "AAoooBBCDooECDooEFFoGGHHH", "size": 5, "moves": 1, "solution": ["A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAoooBBCDooECDooEFFoGGHHH\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>3\n"]}} {"board": "ooAAooBBCDEFFCDEooooooooo", "size": 5, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooAAooBBCDEFFCDEooooooooo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "BCDDDBCoEFGCoEFGAAooGHHII", "size": 5, "moves": 1, "solution": ["A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BCDDDBCoEFGCoEFGAAooGHHII\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "ooAAooBoooCBDDECoFFECGGGo", "size": 5, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooAAooBoooCBDDECoFFECGGGo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "oooBCoooBCoAAooDEEEoDooFF", "size": 5, "moves": 1, "solution": ["A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oooBCoooBCoAAooDEEEoDooFF\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "BoAAoBCoooDCoEFDooEFooGGF", "size": 5, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BoAAoBCoooDCoEFDooEFooGGF\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "BoAACBoooCoDEoCoDEoooFFGG", "size": 5, "moves": 2, "solution": ["Cv1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BoAACBoooCoDEoCoDEoooFFGG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>1\n"]}} {"board": "BoooCBoAACDoEEoDFooooFGGG", "size": 5, "moves": 2, "solution": ["Cv2", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BoooCBoAACDoEEoDFooooFGGG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,A>1\n"]}} {"board": "BoAAoBCooDBCEEDooFFoGGHHo", "size": 5, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BoAAoBCooDBCEEDooFFoGGHHo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "AAooBCCDEBooDEBFFoooooGGo", "size": 5, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAooBCCDEBooDEBFFoooooGGo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "BBBooooooCDDDoCoEEEoooAAo", "size": 5, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BBBooooooCDDDoCoEEEoooAAo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "BoAAoBoCDDBoCooEEEFooooFo", "size": 5, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BoAAoBoCDDBoCooEEEFooooFo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "oBBBoAAoCoDDDCEFGGoEFHHoE", "size": 5, "moves": 2, "solution": ["Cv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oBBBoAAoCoDDDCEFGGoEFHHoE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>3\n"]}} {"board": "BCoDoBCoDEBAAoEooFGoHHFGo", "size": 5, "moves": 2, "solution": ["E^1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BCoDoBCoDEBAAoEooFGoHHFGo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,A>2\n"]}} {"board": "BCCCoBoAAooDDoooEooooEooo", "size": 5, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BCCCoBoAAooDDoooEooooEooo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "BCAAoBCDEEFCDoGFoHHGooooG", "size": 5, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BCAAoBCDEEFCDoGFoHHGooooG\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "ooAAoBCCDEBFFDEBoGHHooGII", "size": 5, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooAAoBCCDEBFFDEBoGHHooGII\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "BCooDBCooDBEEEoFoooGFoAAG", "size": 5, "moves": 2, "solution": ["G^1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BCooDBCooDBEEEoFoooGFoAAG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nG^1,A>1\n"]}} {"board": "AAoooBBBCCDEEFFDGGGooHHHo", "size": 5, "moves": 1, "solution": ["A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAoooBBBCCDEEFFDGGGooHHHo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>3\n"]}} {"board": "BoAAoBCooDECFFDECGGGooHHo", "size": 5, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BoAAoBCooDECFFDECGGGooHHo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "oBBBoAAooCooooCDDoEoFFFEo", "size": 5, "moves": 2, "solution": ["Cv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oBBBoAAooCooooCDDoEoFFFEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>3\n"]}} {"board": "AAoooBoCoDBoCoDEECooooFFF", "size": 5, "moves": 1, "solution": ["A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAoooBoCoDBoCoDEECooooFFF\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>3\n"]}} {"board": "ooAAoBBCCoDDoEEFFGGoHHIIo", "size": 5, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooAAoBBCCoDDoEEFFGGoHHIIo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "BCooDBCooDooEFoooEFoooAAo", "size": 5, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BCooDBCooDooEFoooEFoooAAo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "oAAooooBCoDEBCFDEBoFDoooF", "size": 5, "moves": 1, "solution": ["A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAAooooBCoDEBCFDEBoFDoooF\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "ooAAoBCoDEBCFDEBCFGGoooHH", "size": 5, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooAAoBCoDEBCFDEBCFGGoooHH\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "oBCoooBCooDoAAoDoEEEDoFFo", "size": 5, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oBCoooBCooDoAAoDoEEEDoFFo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "AAoooBBCDoEFCDoEFCDoGGHHH", "size": 5, "moves": 1, "solution": ["A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAoooBBCDoEFCDoEFCDoGGHHH\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>3\n"]}} {"board": "BooCoBDECFoDECFAAoooGGooo", "size": 5, "moves": 1, "solution": ["A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BooCoBDECFoDECFAAoooGGooo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>3\n"]}} {"board": "AAooooBBCCoDDEFGGHEFooHII", "size": 5, "moves": 1, "solution": ["A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAooooBBCCoDDEFGGHEFooHII\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>3\n"]}} {"board": "BoAAoBCDDDECFoGEoFHGEooHo", "size": 5, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BoAAoBCDDDECFoGEoFHGEooHo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "oBBBoCoooDCooEDFooEDFAAEo", "size": 5, "moves": 2, "solution": ["E^1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oBBBoCoooDCooEDFooEDFAAEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,A>2\n"]}} {"board": "ooBBBoCDDDoCAAoEEFFFGGHHH", "size": 5, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooBBBoCDDDoCAAoEEFFFGGHHH\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "AAoooooBBBCCDDooEFFGoEHHG", "size": 5, "moves": 1, "solution": ["A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAoooooBBBCCDDooEFFGoEHHG\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>3\n"]}} {"board": "oAAooBBBoCoDoECoDoEFooGGF", "size": 5, "moves": 1, "solution": ["A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAAooBBBoCoDoECoDoEFooGGF\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "BBBooAAoooooooooCDEEoCDFF", "size": 5, "moves": 1, "solution": ["A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BBBooAAoooooooooCDEEoCDFF\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>3\n"]}} {"board": "BCAAoBCooDoCoEDFooEDFGGEo", "size": 5, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BCAAoBCooDoCoEDFooEDFGGEo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "oBooCoBoDCAAoDoEEFooooFGG", "size": 5, "moves": 2, "solution": ["D^1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oBooCoBoDCAAoDoEEFooooFGG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>3\n"]}} {"board": "oBAAoCBoDoCEFDooEFGHIIFGH", "size": 5, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oBAAoCBoDoCEFDooEFGHIIFGH\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "oAAooBBooooCCDDEoFooEoFGG", "size": 5, "moves": 1, "solution": ["A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAAooBBooooCCDDEoFooEoFGG\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "BoAAoBooCDoEFCDoEFCoGGooo", "size": 5, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BoAAoBooCDoEFCDoEFCoGGooo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "BAAooBooCCDoEEoDFFGGooooo", "size": 5, "moves": 1, "solution": ["A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BAAooBooCCDoEEoDFFGGooooo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "oBCDoEBCDoEAAooEFFGGHHoII", "size": 5, "moves": 1, "solution": ["A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oBCDoEBCDoEAAooEFFGGHHoII\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "ooAABoCCoBoDEooFDEoGFDEoG", "size": 5, "moves": 2, "solution": ["Bv1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooAABoCCoBoDEooFDEoGFDEoG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>1\n"]}} {"board": "oBoCooBDCooEDFGoEDFGooAAo", "size": 5, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oBoCooBDCooEDFGoEDFGooAAo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "ooooooAAooooooBCCooBDDEEB", "size": 5, "moves": 1, "solution": ["A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooooooAAooooooBCCooBDDEEB\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "BoCoDBoCoDAAoEoFFFEoGGHHo", "size": 5, "moves": 2, "solution": ["E^2", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BoCoDBoCoDAAoEoFFFEoGGHHo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^2,A>3\n"]}} {"board": "oAAooBBBooCoDDDCEEoFoGGGF", "size": 5, "moves": 1, "solution": ["A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAAooBBBooCoDDDCEEoFoGGGF\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "BoCCCBDEEEoDAAooDFFoGGGHH", "size": 5, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BoCCCBDEEEoDAAooDFFoGGGHH\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "oBAAoCBDDoCooEEFGGGoFHHoo", "size": 5, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oBAAoCBDDoCooEEFGGGoFHHoo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "oooooooooBAAooBCDEEoCDFFo", "size": 5, "moves": 2, "solution": ["B^1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oooooooooBAAooBCDEEoCDFFo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,A>3\n"]}} {"board": "oooBoCoDBoCoDBEooAAEFFGGo", "size": 5, "moves": 2, "solution": ["E^1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oooBoCoDBoCoDBEooAAEFFGGo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,A>1\n"]}} {"board": "oBoooCBAADCoEFDGGEFoooEFo", "size": 5, "moves": 2, "solution": ["Dv1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oBoooCBAADCoEFDGGEFoooEFo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,A>1\n"]}} {"board": "BBBooCDAAoCDoooEoFGGEoFoo", "size": 5, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BBBooCDAAoCDoooEoFGGEoFoo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "BBBCoAAoCooDDCEoFFoEoGGoE", "size": 5, "moves": 2, "solution": ["Cv2", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BBBCoAAoCooDDCEoFFoEoGGoE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,A>3\n"]}} {"board": "BAAooBCDooBCDEEooFGGHHFII", "size": 5, "moves": 1, "solution": ["A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BAAooBCDooBCDEEooFGGHHFII\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "oAAoBCCooBooDooEEDFFGGHHH", "size": 5, "moves": 2, "solution": ["Bv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAAoBCCooBooDooEEDFFGGHHH\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "BooCoBAACoDDoCoooEoFooEoF", "size": 5, "moves": 2, "solution": ["Cv2", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BooCoBAACoDDoCoooEoFooEoF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,A>2\n"]}} {"board": "oBCDEoBCDEoAAoFGoooFGHHHo", "size": 5, "moves": 2, "solution": ["Fv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oBCDEoBCDEoAAoFGoooFGHHHo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nFv1,A>2\n"]}} {"board": "BoAACBDEFCGDEFoGDoHIoooHI", "size": 5, "moves": 2, "solution": ["Cv1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BoAACBDEFCGDEFoGDoHIoooHI\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>1\n"]}} {"board": "BoCCCBoAADooEoDooEoooFFoo", "size": 5, "moves": 2, "solution": ["Dv1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BoCCCBoAADooEoDooEoooFFoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,A>1\n"]}} {"board": "ooAAoBBBCCDEEooDooFGHHoFG", "size": 5, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooAAoBBBCCDEEooDooFGHHoFG\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "oooooooBBBCoDooCoDoECAAoE", "size": 5, "moves": 2, "solution": ["E^1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oooooooBBBCoDooCoDoECAAoE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,A>2\n"]}} {"board": "ooAAoooBBooCCDDoEEoFoGGGF", "size": 5, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooAAoooBBooCCDDoEEoFoGGGF\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "ooAAoBBooCDDDECFGHEoFGHEo", "size": 5, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooAAoBBooCDDDECFGHEoFGHEo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "oBoooCBDooCBDooCAAooEEEoo", "size": 5, "moves": 1, "solution": ["A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oBoooCBDooCBDooCAAooEEEoo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "oAAooBBoCCDEoooDEFGGDEFHH", "size": 5, "moves": 1, "solution": ["A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAAooBBoCCDEoooDEFGGDEFHH\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "ooAAooBCCCDBoEFDooEFDoGGG", "size": 5, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooAAooBCCCDBoEFDooEFDoGGG\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "ooAAoBCCDDBEEoFBGGoFoHHoF", "size": 5, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooAAoBCCDDBEEoFBGGoFoHHoF\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "ooAAoBBCCCooDDDEEFFFGGoHH", "size": 5, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooAAoBBCCCooDDDEEFFFGGoHH\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "oAAooBoCCCBDEEooDFFoGGHHo", "size": 5, "moves": 1, "solution": ["A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAAooBoCCCBDEEooDFFoGGHHo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "oooooAABooooBCDEEoCDFFFoo", "size": 5, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oooooAABooooBCDEEoCDFFFoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "AAoooBBCCDEEFoDooFooGGGoo", "size": 5, "moves": 1, "solution": ["A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAoooBBCCDEEFoDooFooGGGoo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>3\n"]}} {"board": "BCoooBCDDDoEAAooEoFFGGHHo", "size": 5, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BCoooBCDDDoEAAooEoFFGGHHo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "ooAAoBBoooCCoooooDooEEDFF", "size": 5, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooAAoBBoooCCoooooDooEEDFF\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "BAACoBoDCoooDoEoFFFEGGHHo", "size": 5, "moves": 2, "solution": ["Cv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BAACoBoDCoooDoEoFFFEGGHHo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>2\n"]}} {"board": "oBooooBCooAACooDDoooooEEE", "size": 5, "moves": 2, "solution": ["C^1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oBooooBCooAACooDDoooooEEE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>3\n"]}} {"board": "ooAABooooBCooooCooDDEEEFF", "size": 5, "moves": 2, "solution": ["Bv1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooAABooooBCooooCooDDEEEFF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>1\n"]}} {"board": "AAoBoCDDBoCoooooEEFFGGooo", "size": 5, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAoBoCDDBoCoooooEEFFGGooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "ooAAoBCoDDBCoooBooooEEEFF", "size": 5, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooAAoBCoDDBCoooBooooEEEFF\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "BCAAoBCDDDoEFFoGEHHoGIIJJ", "size": 5, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BCAAoBCDDDoEFFoGEHHoGIIJJ\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "AAooBoooCBoDDCooooEFGGoEF", "size": 5, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAooBoooCBoDDCooooEFGGoEF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "AAooooooBBooooooCDDEoCooE", "size": 5, "moves": 1, "solution": ["A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAooooooBBooooooCDDEoCooE\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>3\n"]}} {"board": "BBBCoDooCEDAAoEDFoGHoFoGH", "size": 5, "moves": 2, "solution": ["E^1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BBBCoDooCEDAAoEDFoGHoFoGH\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,A>2\n"]}} {"board": "ooAAooBCoooBCDDEECFFooGGo", "size": 5, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooAAooBCoooBCDDEECFFooGGo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "ooAABoooCBoDDCoEEEFFGGGoo", "size": 5, "moves": 2, "solution": ["Bv1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooAABoooCBoDDCoEEEFFGGGoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>1\n"]}} {"board": "ooBCDooBCDEoBoDEFFFoooAAo", "size": 5, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooBCDooBCDEoBoDEFFFoooAAo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "oAAoBooooBCoDDoCoEEFooGGF", "size": 5, "moves": 2, "solution": ["Bv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAAoBooooBCoDDoCoEEFooGGF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "BAAoCBDEFCoDEFoGGGFoooHHo", "size": 5, "moves": 2, "solution": ["Cv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BAAoCBDEFCoDEFoGGGFoooHHo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>2\n"]}} {"board": "ooAAoBBoooCCDDEFGGGEFHHHE", "size": 5, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooAAoBBoooCCDDEFGGGEFHHHE\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "oBooooBoooCCCoDoEooDoEAAD", "size": 5, "moves": 2, "solution": ["D^1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oBooooBoooCCCoDoEooDoEAAD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>1\n"]}} {"board": "AAooooBBCoDooCEDFFoEoGGGo", "size": 5, "moves": 1, "solution": ["A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAooooBBCoDooCEDFFoEoGGGo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>3\n"]}} {"board": "BoAAoBCoDDECFFoEGGGHIIJJH", "size": 5, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BoAAoBCoDDECFFoEGGGHIIJJH\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "oBAAooBoCDoEECDoFFFooGGHH", "size": 5, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oBAAooBoCDoEECDoFFFooGGHH\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "oBoooCBAAoCDEEoCDoFFoGGHH", "size": 5, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oBoooCBAAoCDEEoCDoFFoGGHH\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "BCAAoBCoooDDoooooEFGHHEFG", "size": 5, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BCAAoBCoooDDoooooEFGHHEFG\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "oAAoooBCCDoBEFDGoEFoGHHFo", "size": 5, "moves": 1, "solution": ["A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAAoooBCCDoBEFDGoEFoGHHFo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "BoAAoBCCDDEEEoFGGGoFHHooF", "size": 5, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BoAAoBCCDDEEEoFGGGoFHHooF\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "oooooBoCooBoCooooAAooooDD", "size": 5, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oooooBoCooBoCooooAAooooDD\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "ooAAoooBCoDDBCEFoBoEFooGG", "size": 5, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooAAoooBCoDDBCEFoBoEFooGG\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "ooooooooooBBBooCAAooCoDDo", "size": 5, "moves": 1, "solution": ["A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooooooooooBBBooCAAooCoDDo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "BCAADBCEoDoFEoooFoGGoHHII", "size": 5, "moves": 2, "solution": ["Dv1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BCAADBCEoDoFEoooFoGGoHHII\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,A>1\n"]}} {"board": "BoCDoBECDFGEAAFGHHHoGIIIo", "size": 5, "moves": 2, "solution": ["F^1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BoCDoBECDFGEAAFGHHHoGIIIo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,A>1\n"]}} {"board": "ooAAoBoCCCBDooEFDGGEFoooo", "size": 5, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooAAoBoCCCBDooEFDGGEFoooo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "AAooooBBBCoDEECFDGGoFoooo", "size": 5, "moves": 1, "solution": ["A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAooooBBBCoDEECFDGGoFoooo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>3\n"]}} {"board": "oAAoooBBooCooDDCEEoooFFoo", "size": 5, "moves": 1, "solution": ["A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAAoooBBooCooDDCEEoooFFoo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "oAAoBCCCDBEEFDoGHFIIGHFJJ", "size": 5, "moves": 2, "solution": ["Bv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAAoBCCCDBEEFDoGHFIIGHFJJ\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "oooooooAAoBCCoDBoooDEEooD", "size": 5, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oooooooAAoBCCoDBoooDEEooD\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "ooooBooCoBAACooDEEEoDFFGG", "size": 5, "moves": 2, "solution": ["C^1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooooBooCoBAACooDEEEoDFFGG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>3\n"]}} {"board": "AAoBoCooBoCDooEoDooEoFFGG", "size": 5, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAoBoCooBoCDooEoDooEoFFGG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "AAoooBBBCCDEooFDEoGFDEoGo", "size": 5, "moves": 1, "solution": ["A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAoooBBBCCDEooFDEoGFDEoGo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>3\n"]}} {"board": "oAAooBBBoooCCoDEEFFDGGHHH", "size": 5, "moves": 1, "solution": ["A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAAooBBBoooCCoDEEFFDGGHHH\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "AAooBoCDDBoCEEooCFFoooGGG", "size": 5, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAooBoCDDBoCEEooCFFoooGGG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "oBAAoCBDDoCBEEFGGGoFoHHoF", "size": 5, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oBAAoCBDDoCBEEFGGGoFoHHoF\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "oAAooBCCCoBoDEFGGDEFooHHo", "size": 5, "moves": 1, "solution": ["A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAAooBCCCoBoDEFGGDEFooHHo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "ooAAooBoCooBoCoDBoCoDEEEo", "size": 5, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooAAooBoCooBoCoDBoCoDEEEo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "ooAAoBoooCBoDDCBooECFFoEo", "size": 5, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooAAoBoooCBoDDCBooECFFoEo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "BoAAoBoCooooCooDDooEFFGGE", "size": 5, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BoAAoBoCooooCooDDooEFFGGE\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "BBBooCCCDoEEEDooAADoooooo", "size": 5, "moves": 2, "solution": ["D^1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BBBooCCCDoEEEDooAADoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>2\n"]}} {"board": "BoAAoBoCCoDDDEEFGGHHFIIIo", "size": 5, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BoAAoBoCCoDDDEEFGGHHFIIIo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "ooAAoBBBCCDDDEEoFFFooGGoo", "size": 5, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooAAoBBBCCDDDEEoFFFooGGoo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "oAAooooBooooBCCDEFGGDEFHH", "size": 5, "moves": 1, "solution": ["A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAAooooBooooBCCDEFGGDEFHH\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "AAoooBBCCCoDEEEoDFFooDoGG", "size": 5, "moves": 1, "solution": ["A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAoooBBCCCoDEEEoDFFooDoGG\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>3\n"]}} {"board": "oBAACoBDECFGDECFGDEoooHHo", "size": 5, "moves": 2, "solution": ["Cv1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oBAACoBDECFGDECFGDEoooHHo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>1\n"]}} {"board": "BoCooBoCoDEoAADEFFGGEooHH", "size": 5, "moves": 2, "solution": ["D^1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BoCooBoCoDEoAADEFFGGEooHH\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>1\n"]}} {"board": "AAoooBBCCooooDEoooDEooFFo", "size": 5, "moves": 1, "solution": ["A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAoooBBCCooooDEoooDEooFFo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>3\n"]}} {"board": "BCCCoBoDDDBoAAooEEFFooGGo", "size": 5, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BCCCoBoDDDBoAAooEEFFooGGo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "BBBoooooooCoDDDCAAooCEEoo", "size": 5, "moves": 1, "solution": ["A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BBBoooooooCoDDDCAAooCEEoo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "ooAAoBBBCooDDCoooEEoFFGGG", "size": 5, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooAAoBBBCooDDCoooEEoFFGGG\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "BBBCoDEFCGDEFCGHoAAGHIIoo", "size": 5, "moves": 2, "solution": ["G^1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BBBCoDEFCGDEFCGHoAAGHIIoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nG^1,A>1\n"]}} {"board": "oAAoBCCDDBEoooBEoFFoGGGoo", "size": 5, "moves": 2, "solution": ["Bv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAAoBCCDDBEoooBEoFFoGGGoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "BCDDDBCEFGBoEFGHooFGHAAoo", "size": 5, "moves": 1, "solution": ["A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BCDDDBCEFGBoEFGHooFGHAAoo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "oAAoBCooDBCEEDBCFFFoGGHHo", "size": 5, "moves": 2, "solution": ["Bv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAAoBCooDBCEEDBCFFFoGGHHo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "ooAAooBBBooCCCDoEEFDoooFo", "size": 5, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooAAooBBBooCCCDoEEFDoooFo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "oBAAoCBDoECoDoEFGGoHFoIIH", "size": 5, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oBAAoCBDoECoDoEFGGoHFoIIH\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "oBoooCBoooCAAoDEFFFDEoGGo", "size": 5, "moves": 2, "solution": ["D^2", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oBoooCBoooCAAoDEFFFDEoGGo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,A>2\n"]}} {"board": "BoCCCBoooooDEEEFDAAoFDooo", "size": 5, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BoCCCBoooooDEEEFDAAoFDooo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "oBooCDBooCDBAAoEEEFFoooGG", "size": 5, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oBooCDBooCDBAAoEEEFFoooGG\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "BCAADBCEEDFooGDFHoGoFHIIo", "size": 5, "moves": 2, "solution": ["Dv1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BCAADBCEEDFooGDFHoGoFHIIo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,A>1\n"]}} {"board": "BoCCCBAAooDDEFFGHEooGHooo", "size": 5, "moves": 1, "solution": ["A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BoCCCBAAooDDEFFGHEooGHooo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "AAoooBBoCDEEoCDFGooDFGooo", "size": 5, "moves": 1, "solution": ["A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAoooBBoCDEEoCDFGooDFGooo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>3\n"]}} {"board": "oooBCDDDBCoAAoooEEFFGGGHH", "size": 5, "moves": 1, "solution": ["A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oooBCDDDBCoAAoooEEFFGGGHH\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "oAAooBBBCCDooEFDooEFDGGEo", "size": 5, "moves": 1, "solution": ["A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAAooBBBCCDooEFDooEFDGGEo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "oBooCDBAACDEEooFFooooGGGo", "size": 5, "moves": 2, "solution": ["Cv2", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oBooCDBAACDEEooFFooooGGGo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,A>1\n"]}} {"board": "AAoooBCDDDBCEFoBCEFoooooo", "size": 5, "moves": 1, "solution": ["A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAoooBCDDDBCEFoBCEFoooooo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>3\n"]}} {"board": "ooooBoCoDBECoDoEoAAooooFF", "size": 5, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooooBoCoDBECoDoEoAAooooFF\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "BCoooBCoDoEoFDGEoFDGEAAoG", "size": 5, "moves": 2, "solution": ["G^1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BCoooBCoDoEoFDGEoFDGEAAoG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nG^1,A>2\n"]}} {"board": "BAAoCBDDECBoFECooFGoHHFGo", "size": 5, "moves": 2, "solution": ["Cv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BAAoCBDDECBoFECooFGoHHFGo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>2\n"]}} {"board": "BCAAoBCDDEBFFoEoGHHooGIII", "size": 5, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BCAAoBCDDEBFFoEoGHHooGIII\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "BCDoEBCDFEGooFoGHHHoAAooo", "size": 5, "moves": 1, "solution": ["A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BCDoEBCDFEGooFoGHHHoAAooo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>3\n"]}} {"board": "ooAAoBCCDDBooooooEEEooFFo", "size": 5, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooAAoBCCDDBooooooEEEooFFo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "oBAACDBoECDBoECDooEooFFGG", "size": 5, "moves": 2, "solution": ["Cv1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oBAACDBoECDBoECDooEooFFGG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>1\n"]}} {"board": "BoooCBoDoCooDoCAAoooooEEE", "size": 5, "moves": 1, "solution": ["A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BoooCBoDoCooDoCAAoooooEEE\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>3\n"]}} {"board": "BoAACBDDECBFFECoGGEooHHII", "size": 5, "moves": 2, "solution": ["Cv1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BoAACBDDECBFFECoGGEooHHII\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>1\n"]}} {"board": "BCCCoBAAooooDDEFFGGEooooo", "size": 5, "moves": 1, "solution": ["A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BCCCoBAAooooDDEFFGGEooooo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "ooAAoooBCoDoBCEDFFFEDGGoE", "size": 5, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooAAoooBCoDoBCEDFFFEDGGoE\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "ooAAoooBCooDBCooDBEooooEo", "size": 5, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooAAoooBCooDBCooDBEooooEo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "BAAooBoCCDEEFoDooFooGGFHH", "size": 5, "moves": 1, "solution": ["A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BAAooBoCCDEEFoDooFooGGFHH\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "oBBBCDoooCDAAooooEoFooEoF", "size": 5, "moves": 1, "solution": ["A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oBBBCDoooCDAAooooEoFooEoF\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "oAAooBoCCoBoooDEoFFDEGGGo", "size": 5, "moves": 1, "solution": ["A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAAooBoCCoBoooDEoFFDEGGGo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "AAoooooooooBBBooooooooCCo", "size": 5, "moves": 1, "solution": ["A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAoooooooooBBBooooooooCCo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>3\n"]}} {"board": "oBAAooBoooCBoooCDDDEooFFE", "size": 5, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oBAAooBoooCBoooCDDDEooFFE\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "oBAACDBooCDBooooEEFGoooFG", "size": 5, "moves": 2, "solution": ["Cv1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oBAACDBooCDBooooEEFGoooFG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>1\n"]}} {"board": "ooBBBoooCDooECDoFEoDoFAAo", "size": 5, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooBBBoooCDooECDoFEoDoFAAo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "oAAooBBCDDooCEFGGGEFHHHoF", "size": 5, "moves": 1, "solution": ["A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAAooBBCDDooCEFGGGEFHHHoF\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "oAABoCCoBoDDDooEEoooFFoGG", "size": 5, "moves": 2, "solution": ["Bv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAABoCCoBoDDDooEEoooFFoGG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "ooAAooBCoDEBCoDEFFFooGGGo", "size": 5, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooAAooBCoDEBCoDEFFFooGGGo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "BBBoCDDDECFAAEoFoGGHFoooH", "size": 5, "moves": 2, "solution": ["E^1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BBBoCDDDECFAAEoFoGGHFoooH\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,A>2\n"]}} {"board": "BBBooAAooCDDEECooFFCGGHHo", "size": 5, "moves": 2, "solution": ["Cv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BBBooAAooCDDEECooFFCGGHHo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>3\n"]}} {"board": "BCCCoBoAAoDEFFFDEoooGGGHH", "size": 5, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BCCCoBoAAoDEFFFDEoooGGGHH\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "BCDDDBCoooEoFGoEHFGIoHAAI", "size": 5, "moves": 2, "solution": ["I^1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BCDDDBCoooEoFGoEHFGIoHAAI\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nI^1,A>1\n"]}} {"board": "oBBBoooAAooooooooCoDooCoD", "size": 5, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oBBBoooAAooooooooCoDooCoD\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "ooAAoBooCCBoDDoBooooEEoFF", "size": 5, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooAAoBooCCBoDDoBooooEEoFF\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "oBBBCooooCDEEEoDFAAooFooo", "size": 5, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oBBBCooooCDEEEoDFAAooFooo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "oAAooBooCDBooCDBEooooEoFF", "size": 5, "moves": 1, "solution": ["A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAAooBooCDBooCDBEooooEoFF\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "oBBBoCoAAoCooooDDEEFGGHHF", "size": 5, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oBBBoCoAAoCooooDDEEFGGHHF\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "ooAAoBCCCoBDDDoBEooooEoFF", "size": 5, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooAAoBCCCoBDDDoBEooooEoFF\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "ooAAoooBBCDEEoCDooFFDGGGo", "size": 5, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooAAoooBBCDEEoCDooFFDGGGo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "oAAooBBoCCDEFoGDEFoGDEFoG", "size": 5, "moves": 1, "solution": ["A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAAooBBoCCDEFoGDEFoGDEFoG\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "ooBooooBCoDoBCoDAAooDoooo", "size": 5, "moves": 1, "solution": ["A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooBooooBCoDoBCoDAAooDoooo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "BoAAoBCDEooCDEFGGGoFHHooo", "size": 5, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BoAAoBCDEooCDEFGGGoFHHooo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "BAAooBoCDDooCoEFGooEFGooE", "size": 5, "moves": 1, "solution": ["A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BAAooBoCDDooCoEFGooEFGooE\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "AAoooBCCooBDEEEoDoFooooFo", "size": 5, "moves": 1, "solution": ["A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAoooBCCooBDEEEoDoFooooFo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>3\n"]}} {"board": "AAoooBoooCBoDDCBoEEoFFoGG", "size": 5, "moves": 1, "solution": ["A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAoooBoooCBoDDCBoEEoFFoGG\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>3\n"]}} {"board": "BCCCDBoEFDBoEFoooEooooAAo", "size": 5, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BCCCDBoEFDBoEFoooEooooAAo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "oBBBCooooCAAooooDEFFoDEGG", "size": 5, "moves": 1, "solution": ["A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oBBBCooooCAAooooDEFFoDEGG\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>3\n"]}} {"board": "BCDDDBCAAEBoooEFGGoEFoooo", "size": 5, "moves": 2, "solution": ["Ev1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BCDDDBCAAEBoooEFGGoEFoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,A>1\n"]}} {"board": "oBAAoCBoDoCBEDooFEGHoFoGH", "size": 5, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oBAAoCBoDoCBEDooFEGHoFoGH\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "oBAAooBoCoDEFCGDEFHGoEFHo", "size": 5, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oBAAooBoCoDEFCGDEFHGoEFHo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "oBCCCoBAAoDoooEDooFEGGGFo", "size": 5, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oBCCCoBAAoDoooEDooFEGGGFo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "oAAooBCCDoBEEDoBooFooooFo", "size": 5, "moves": 1, "solution": ["A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAAooBCCDoBEEDoBooFooooFo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "AAoooBBooooCCooDEFFoDEGGG", "size": 5, "moves": 1, "solution": ["A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAoooBBooooCCooDEFFoDEGGG\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>3\n"]}} {"board": "ooAAoBBCooooCooDEFFGDEHHG", "size": 5, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooAAoBBCooooCooDEFFGDEHHG\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "BAAooBCCooDDEoFooEoFGGEHH", "size": 5, "moves": 1, "solution": ["A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BAAooBCCooDDEoFooEoFGGEHH\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "BoAAoBCCDDooEFGooEFGHHIII", "size": 5, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BoAAoBCCDDooEFGooEFGHHIII\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "BCDDDBCoooBAAooooEEEoFFoo", "size": 5, "moves": 1, "solution": ["A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BCDDDBCoooBAAooooEEEoFFoo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "ooooBooAABoCCCBDEEooDoooo", "size": 5, "moves": 2, "solution": ["Bv2", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooooBooAABoCCCBDEEooDoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>1\n"]}} {"board": "BoooCBoooCBDAAoEDoFFEDooo", "size": 5, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BoooCBoooCBDAAoEDoFFEDooo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "AAoBoCCoBDooooDooEFFGGEoo", "size": 5, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAoBoCCoBDooooDooEFFGGEoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "BAAooBoCooBoCDEFFoDEoooDE", "size": 5, "moves": 1, "solution": ["A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BAAooBoCooBoCDEFFoDEoooDE\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "oAAooBBCDooECDooEoDFGGHHF", "size": 5, "moves": 1, "solution": ["A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAAooBBCDooECDooEoDFGGHHF\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "oAAooBooooBoCCCDEFFoDEooo", "size": 5, "moves": 1, "solution": ["A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAAooBooooBoCCCDEFFoDEooo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "oBBBoCDEEECDAAoFFFGHIIIGH", "size": 5, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oBBBoCDEEECDAAoFFFGHIIIGH\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "ooBBBCDoooCDEFGCoEFGAAoFo", "size": 5, "moves": 2, "solution": ["F^1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooBBBCDoooCDEFGCoEFGAAoFo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,A>3\n"]}} {"board": "BBBCoDEFCGDEFoGoAAooHHooo", "size": 5, "moves": 1, "solution": ["A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BBBCoDEFCGDEFoGoAAooHHooo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "ooAAooBCCCoBoDooooDoooEEE", "size": 5, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooAAooBCCCoBoDooooDoooEEE\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "ooBBBCoDDDCEAAooEFFFoEoGG", "size": 5, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooBBBCoDDDCEAAooEFFFoEoGG\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "AAooBooooBCCoDoEoFDGEoFDG", "size": 5, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAooBooooBCCoDoEoFDGEoFDG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "AAoooBooooBCCCoDDoEEFFFGG", "size": 5, "moves": 1, "solution": ["A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAoooBooooBCCCoDDoEEFFFGG\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>3\n"]}} {"board": "BoCDEBFCDEoFooooFAAooGGoo", "size": 5, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BoCDEBFCDEoFooooFAAooGGoo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "oAAoooBBooCCCooooDDDEEooo", "size": 5, "moves": 1, "solution": ["A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAAoooBBooCCCooooDDDEEooo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "ooAAoBCoDDBCoooBEEoFGGooF", "size": 5, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooAAoBCoDDBCoooBEEoFGGooF\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "oAABoCCoBDEFGoDEFGHIoooHI", "size": 5, "moves": 2, "solution": ["Bv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAABoCCoBDEFGoDEFGHIoooHI\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "oAAoBCDDEBCFGEBCFGooHHGoo", "size": 5, "moves": 2, "solution": ["Bv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAAoBCDDEBCFGEBCFGooHHGoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "ooAAoooBBoCCDDDEFGGHEFIIH", "size": 5, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooAAoooBBoCCDDDEFGGHEFIIH\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "AAoooBoCooBDCEEBDoFooooFo", "size": 5, "moves": 1, "solution": ["A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAoooBoCooBDCEEBDoFooooFo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>3\n"]}} {"board": "BCAAoBCDDoBEFooGEFooGoFHH", "size": 5, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BCAAoBCDDoBEFooGEFooGoFHH\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "oBAAoCBDooCEDooFEGGoFEHHo", "size": 5, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oBAAoCBDooCEDooFEGGoFEHHo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "oBBBoAAoooCoDoECoDoECoDoE", "size": 5, "moves": 1, "solution": ["A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oBBBoAAoooCoDoECoDoECoDoE\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>3\n"]}} {"board": "ooAAoBCoDDBCooooCoEFoGGEF", "size": 5, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooAAoBCoDDBCooooCoEFoGGEF\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "ooBBBCAAooCDDDooEFFGoEHHG", "size": 5, "moves": 1, "solution": ["A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooBBBCAAooCDDDooEFFGoEHHG\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "BAAooBCCCoBDDEFGHIEFGHIEF", "size": 5, "moves": 1, "solution": ["A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BAAooBCCCoBDDEFGHIEFGHIEF\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "BCAAoBCoDDoCoEEFFGoHIIGoH", "size": 5, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BCAAoBCoDDoCoEEFFGoHIIGoH\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "BoAAoBoCCCBooDooEFDooEFoo", "size": 5, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BoAAoBoCCCBooDooEFDooEFoo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "BAAooBCCDEoooDEFFoDEoGGHH", "size": 5, "moves": 1, "solution": ["A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BAAooBCCDEoooDEFFoDEoGGHH\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "oAAoBooCCBooDooEEDFFoGGoo", "size": 5, "moves": 2, "solution": ["Bv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAAoBooCCBooDooEEDFFoGGoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "BCDooBCDooBEDoooEAAFoGGGF", "size": 5, "moves": 2, "solution": ["F^2", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BCDooBCDooBEDoooEAAFoGGGF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^2,A>1\n"]}} {"board": "BCDooBCDEoBFGEHIFGoHIFAAH", "size": 5, "moves": 2, "solution": ["H^1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BCDooBCDEoBFGEHIFGoHIFAAH\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nH^1,A>1\n"]}} {"board": "oBCCCoBoooAAoooDDoEEooFFo", "size": 5, "moves": 1, "solution": ["A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oBCCCoBoooAAoooDDoEEooFFo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>3\n"]}} {"board": "oBBBoCDAAoCDooooDooEooooE", "size": 5, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oBBBoCDAAoCDooooDooEooooE\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "BoCCCBoAAoDEEFFDGHooDGHoo", "size": 5, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BoCCCBoAAoDEEFFDGHooDGHoo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "ooAAoBBCooDDCooEoCoFEoGGF", "size": 5, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooAAoBBCooDDCooEoCoFEoGGF\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "BAAooBCDooBCDooECooFEGGGF", "size": 5, "moves": 1, "solution": ["A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BAAooBCDooBCDooECooFEGGGF\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "AAoooBooCDBooCDBEECFooooF", "size": 5, "moves": 1, "solution": ["A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAoooBooCDBooCDBEECFooooF\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>3\n"]}} {"board": "AAoBoooCBoDDCoEoFCoEoFooE", "size": 5, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAoBoooCBoDDCoEoFCoEoFooE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "AAooBCooDBCooDoEEFFGoHHoG", "size": 5, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAooBCooDBCooDoEEFFGoHHoG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "AAoooBBooCDoEECDoFGGooFoo", "size": 5, "moves": 1, "solution": ["A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAoooBBooCDoEECDoFGGooFoo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>3\n"]}} {"board": "AAoooBooCDBEECDoFFFGHHIIG", "size": 5, "moves": 1, "solution": ["A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAoooBooCDBEECDoFFFGHHIIG\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>3\n"]}} {"board": "BAAoCBDEoCFDEGoFDEGHIIIoH", "size": 5, "moves": 2, "solution": ["Cv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BAAoCBDEoCFDEGoFDEGHIIIoH\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>2\n"]}} {"board": "oooooBCCCoBoAAoBDEEEoDFFF", "size": 5, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oooooBCCCoBoAAoBDEEEoDFFF\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "BCooDBCEFDoCEFGHIIIGHAAoo", "size": 5, "moves": 1, "solution": ["A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BCooDBCEFDoCEFGHIIIGHAAoo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "oooBooooBoCAAooCoDDoEEoFF", "size": 5, "moves": 1, "solution": ["A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oooBooooBoCAAooCoDDoEEoFF\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "BAAooBCCDEBFFDEGGoHEIIIHo", "size": 5, "moves": 1, "solution": ["A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BAAooBCCDEBFFDEGGoHEIIIHo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "AAooooBBoCDDDoCEooooEFFFo", "size": 5, "moves": 1, "solution": ["A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAooooBBoCDDDoCEooooEFFFo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>3\n"]}} {"board": "oAAoBCCooBDoEEoDoFFGoHHHG", "size": 5, "moves": 2, "solution": ["Bv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAAoBCCooBDoEEoDoFFGoHHHG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "BoAAoBCCCoDoEEoDFFFoDGGHH", "size": 5, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BoAAoBCCCoDoEEoDFFFoDGGHH\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "oAABooooBCDDooCEooFFEoGGG", "size": 5, "moves": 2, "solution": ["Bv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAABooooBCDDooCEooFFEoGGG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "AAoBoooCBDooCoDEECooooFFo", "size": 5, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAoBoooCBDooCoDEECooooFFo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "AAoooBBCCCDDooEFoooEFGGGo", "size": 5, "moves": 1, "solution": ["A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAoooBBCCCDDooEFoooEFGGGo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>3\n"]}} {"board": "oBBBoCoAAoCDDDoEFFGGEoooo", "size": 5, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oBBBoCoAAoCDDDoEFFGGEoooo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "BAAooBoCCoDDDEEFFooGHHHoG", "size": 5, "moves": 1, "solution": ["A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BAAooBoCCoDDDEEFFooGHHHoG\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "BoAACBDDDCEFGGoEFHHHoIIJJ", "size": 5, "moves": 2, "solution": ["Cv1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BoAACBDDDCEFGGoEFHHHoIIJJ\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>1\n"]}} {"board": "AABooooBoCooooCDooEoDFFEo", "size": 5, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AABooooBoCooooCDooEoDFFEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "AAooooBBBooCDEFoCDEFGGDEo", "size": 5, "moves": 1, "solution": ["A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAooooBBBooCDEFoCDEFGGDEo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>3\n"]}} {"board": "BBBoooCAADoCooDEEFFDGGGoo", "size": 5, "moves": 2, "solution": ["Dv1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BBBoooCAADoCooDEEFFDGGGoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,A>1\n"]}} {"board": "AABooooBCCoooDDooEFFooEGG", "size": 5, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AABooooBCCoooDDooEFFooEGG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "ooAABoooCBoooCoDEEEFDGGGF", "size": 5, "moves": 2, "solution": ["Bv1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooAABoooCBoooCoDEEEFDGGGF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>1\n"]}} {"board": "BoAAoBCDDDBCooEooooEoFFFo", "size": 5, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BoAAoBCDDDBCooEooooEoFFFo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "BoAAoBCCCoooDDEooFFEGGooo", "size": 5, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BoAAoBCCCoooDDEooFFEGGooo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "ooAABCCooBoDooooDEEFoGGoF", "size": 5, "moves": 2, "solution": ["Bv1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooAABCCooBoDooooDEEFoGGoF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>1\n"]}} {"board": "BoAAoBCCoooooDEFGoDEFGHHE", "size": 5, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BoAAoBCCoooooDEFGoDEFGHHE\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "ooBBBoAAooooCCoDoEEEDooFF", "size": 5, "moves": 1, "solution": ["A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooBBBoAAooooCCoDoEEEDooFF\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "BCCCoBAADoEFoDGEFHDGooHoo", "size": 5, "moves": 2, "solution": ["Dv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BCCCoBAADoEFoDGEFHDGooHoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,A>2\n"]}} {"board": "oooooAAoooBBCDDEECFFooooo", "size": 5, "moves": 1, "solution": ["A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oooooAAoooBBCDDEECFFooooo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>3\n"]}} {"board": "oBCCCDBoooDBEooDoEFoAAoFo", "size": 5, "moves": 2, "solution": ["F^1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oBCCCDBoooDBEooDoEFoAAoFo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,A>3\n"]}} {"board": "BCDDDBCoooBoAAooEEEFGGHHF", "size": 5, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BCDDDBCoooBoAAooEEEFGGHHF\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "ooAABCoDEBCoDEooooooFFooo", "size": 5, "moves": 2, "solution": ["Bv1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooAABCoDEBCoDEooooooFFooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>1\n"]}} {"board": "AAoooBCCCDBoEEDFooooFoooo", "size": 5, "moves": 1, "solution": ["A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAoooBCCCDBoEEDFooooFoooo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>3\n"]}} {"board": "ooAAoBooCDBEoCDBEoCooooFF", "size": 5, "moves": 1, "solution": ["A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooAAoBooCDBEoCDBEoCooooFF\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "BoCCCBoooooAAoDEEEFDGGGFo", "size": 5, "moves": 2, "solution": ["Dv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BoCCCBoooooAAoDEEEFDGGGFo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,A>2\n"]}} {"board": "AAooBoCCCBDDDEBFGoEoFGoHH", "size": 5, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAooBoCCCBDDDEBFGoEoFGoHH\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "ooooooBBBCDoAACDEEEooFFoo", "size": 5, "moves": 2, "solution": ["C^1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooooooBBBCDoAACDEEEooFFoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>1\n"]}} {"board": "ooAABCCCoBDoEEBDFGooDFGoo", "size": 5, "moves": 2, "solution": ["Bv1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooAABCCCoBDoEEBDFGooDFGoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>1\n"]}} {"board": "oBCoDoBCEDoooEooAAooFFoGG", "size": 5, "moves": 1, "solution": ["A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oBCoDoBCEDoooEooAAooFFoGG\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "oAAoooBoooCBoooCDDDoCoEEE", "size": 5, "moves": 1, "solution": ["A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAAoooBoooCBoooCDDDoCoEEE\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "oAAoooBCCCoBDEFooDEFGGDHH", "size": 5, "moves": 1, "solution": ["A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAAoooBCCCoBDEFooDEFGGDHH\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "BoAACBDEoCFDEGGFHoIIoHooo", "size": 5, "moves": 4, "solution": ["Ev2", "F<1", "Cv1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BoAACBDEoCFDEGGFHoIIoHooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv2,F<1,Cv1,A>1\n"]}} {"board": "oBBBoooCCCoooooDoAAEDFFoE", "size": 5, "moves": 3, "solution": ["C<1", "E^2", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oBBBoooCCCoooooDoAAEDFFoE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,E^2,A>1\n"]}} {"board": "BCDDDBCEooFoEGHFAAGHIIIJJ", "size": 5, "moves": 3, "solution": ["G^1", "H^1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BCDDDBCEooFoEGHFAAGHIIIJJ\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nG^1,H^1,A>2\n"]}} {"board": "oAABCDDoBCoEoooFEGHHFoGoo", "size": 5, "moves": 3, "solution": ["Bv1", "Bv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAABCDDoBCoEoooFEGHHFoGoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>2\n"]}} {"board": "BBBoCoooDCAAEDoooEFFoGGHH", "size": 5, "moves": 4, "solution": ["D^1", "G<1", "Ev1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BBBoCoooDCAAEDoooEFFoGGHH\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,G<1,Ev1,A>3\n"]}} {"board": "oBCDooBCDEoFCoEoFoGHAAoGH", "size": 5, "moves": 4, "solution": ["E^1", "G^1", "H^1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oBCDooBCDEoFCoEoFoGHAAoGH\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,G^1,H^1,A>3\n"]}} {"board": "AAoBoCDDBoCEFFoGEHHHGoooo", "size": 5, "moves": 4, "solution": ["Ev1", "E<1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAoBoCDDBoCEFFoGEHHHGoooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,E<1,Bv1,A>3\n"]}} {"board": "AAooBCDooBCDEEFooGGFoooHH", "size": 5, "moves": 4, "solution": ["H<1", "Fv1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAooBCDooBCDEEFooGGFoooHH\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nH<1,Fv1,Bv1,A>3\n"]}} {"board": "ooBBBCCCDEoAADEoooFoGGoFo", "size": 5, "moves": 4, "solution": ["B<2", "D^1", "E^1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooBBBCCCDEoAADEoooFoGGoFo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,D^1,E^1,A>2\n"]}} {"board": "AABCDoEBCDFEoooFGGoHFoIIH", "size": 5, "moves": 4, "solution": ["Bv1", "Bv1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AABCDoEBCDFEoooFGGoHFoIIH\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,Bv1,A>3\n"]}} {"board": "oBoooCBAADCEEEDFoGGGFoHHo", "size": 5, "moves": 3, "solution": ["G<1", "Dv1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oBoooCBAADCEEEDFoGGGFoHHo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,Dv1,A>1\n"]}} {"board": "ooBBBoooCDEooCDEoAADooooo", "size": 5, "moves": 3, "solution": ["B<1", "D^1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooBBBoooCDEooCDEoAADooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,D^1,A>1\n"]}} {"board": "oBBBCAADoCooDEooFFEoGGGHH", "size": 5, "moves": 4, "solution": ["Cv2", "F<1", "Cv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oBBBCAADoCooDEooFFEoGGGHH\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,F<1,Cv1,A>3\n"]}} {"board": "AABoCoDBoCoDBoooEEooooooo", "size": 5, "moves": 4, "solution": ["Cv1", "E<1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AABoCoDBoCoDBoooEEooooooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,E<1,Bv1,A>3\n"]}} {"board": "ooooooAAoBCDEEBCDoFFooooo", "size": 5, "moves": 3, "solution": ["F<1", "Bv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooooooAAoBCDEEBCDoFFooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Bv1,A>2\n"]}} {"board": "BoAACBoooCBoDoEFoDGEFHHGo", "size": 5, "moves": 3, "solution": ["Ev1", "Cv1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BoAACBoooCBoDoEFoDGEFHHGo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,Cv1,A>1\n"]}} {"board": "BAAoCBoDDCEFFFCEoGGGEoHHo", "size": 5, "moves": 3, "solution": ["G<1", "Cv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BAAoCBoDDCEFFFCEoGGGEoHHo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,Cv1,A>2\n"]}} {"board": "ooBBBoCooooCooDoAAEDFFFEo", "size": 5, "moves": 3, "solution": ["D^1", "E^2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooBBBoCooooCooDoAAEDFFFEo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E^2,A>2\n"]}} {"board": "AABoCooBDCEEoDooFFDoGGoHH", "size": 5, "moves": 3, "solution": ["Bv1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AABoCooBDCEEoDooFFDoGGoHH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>3\n"]}} {"board": "BBBCDoAACDEEooooFFooGGooo", "size": 5, "moves": 3, "solution": ["Cv2", "Cv2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BBBCDoAACDEEooooFFooGGooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,Cv2,A>2\n"]}} {"board": "BBBCDoAACDEFFooEoGGooooHH", "size": 5, "moves": 4, "solution": ["Dv2", "G<1", "Cv2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BBBCDoAACDEFFooEoGGooooHH\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv2,G<1,Cv2,A>2\n"]}} {"board": "ooBBBoCCCoDDDoEFGAAEFGooE", "size": 5, "moves": 3, "solution": ["B<1", "E^2", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooBBBoCCCoDDDoEFGAAEFGooE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,E^2,A>1\n"]}} {"board": "BoCDoBoCDEFGoHEFGoHIFAAoI", "size": 5, "moves": 3, "solution": ["E^1", "I^1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BoCDoBoCDEFGoHEFGoHIFAAoI\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,I^1,A>2\n"]}} {"board": "AABoCDDBoCEFBooEFoooGGGHH", "size": 5, "moves": 3, "solution": ["Bv1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AABoCDDBoCEFBooEFoooGGGHH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>3\n"]}} {"board": "oAAoBCDooBCDoEFGooEFGHHEo", "size": 5, "moves": 3, "solution": ["Fv1", "Bv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAAoBCDooBCDoEFGooEFGHHEo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nFv1,Bv1,A>2\n"]}} {"board": "AAoBoCDoBoCDEFGooEFGoHHHG", "size": 5, "moves": 4, "solution": ["H<1", "Fv1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAoBoCDoBoCDEFGooEFGoHHHG\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nH<1,Fv1,Bv1,A>3\n"]}} {"board": "oAABCoDDBCoEEFooGGFoooooo", "size": 5, "moves": 4, "solution": ["Cv1", "Fv1", "Bv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAABCoDDBCoEEFooGGFoooooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Fv1,Bv1,A>2\n"]}} {"board": "BoCDoBoCDEFoCDEFoooGooAAG", "size": 5, "moves": 3, "solution": ["E^1", "G^1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BoCDoBoCDEFoCDEFoooGooAAG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,G^1,A>1\n"]}} {"board": "AAoBCDDDBCEFoBoEFooGooHHG", "size": 5, "moves": 3, "solution": ["Bv1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAoBCDDDBCEFoBoEFooGooHHG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>3\n"]}} {"board": "ooBBBoCooooCDDDEEEFooAAFo", "size": 5, "moves": 4, "solution": ["C^1", "D<2", "F^1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooBBBoCooooCDDDEEEFooAAFo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D<2,F^1,A>2\n"]}} {"board": "oBCoooBCoDEBCFDEAAFDGGoFo", "size": 5, "moves": 3, "solution": ["D^1", "F^2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oBCoooBCoDEBCFDEAAFDGGoFo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,F^2,A>2\n"]}} {"board": "AABooCDBEFCDGEFoDGHFoooHo", "size": 5, "moves": 3, "solution": ["Gv1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AABooCDBEFCDGEFoDGHFoooHo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nGv1,Bv1,A>3\n"]}} {"board": "ooAABoCCoBooDDDoEEoFooooF", "size": 5, "moves": 3, "solution": ["D<1", "Bv1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooAABoCCoBooDDDoEEoFooooF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv1,A>1\n"]}} {"board": "BAACDBEoCDBEooDFFoooGGGoo", "size": 5, "moves": 3, "solution": ["Cv1", "Cv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BAACDBEoCDBEooDFFoooGGGoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Cv1,A>2\n"]}} {"board": "oooBoCCCBoAAoDEoFFDEooGGo", "size": 5, "moves": 4, "solution": ["E^2", "G<1", "Ev1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oooBoCCCBoAAoDEoFFDEooGGo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^2,G<1,Ev1,A>3\n"]}} {"board": "AABooCCBDoooBDEFoGGEFHHII", "size": 5, "moves": 4, "solution": ["E^1", "G>1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AABooCCBDoooBDEFoGGEFHHII\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,G>1,Bv1,A>3\n"]}} {"board": "BBBoCoAAoCDDEEooooFFGGHHo", "size": 5, "moves": 3, "solution": ["F<1", "Cv2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BBBoCoAAoCDDEEooooFFGGHHo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Cv2,A>2\n"]}} {"board": "BooCoBAACoooDDDooEooFFEGG", "size": 5, "moves": 3, "solution": ["D<2", "Cv2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BooCoBAACoooDDDooEooFFEGG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<2,Cv2,A>2\n"]}} {"board": "AAoBooooBooooCCooDDooEEoo", "size": 5, "moves": 3, "solution": ["C<2", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAoBooooBooooCCooDDooEEoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,Bv1,A>3\n"]}} {"board": "BAACDBEoCDFEoooFooooGGoHH", "size": 5, "moves": 3, "solution": ["Cv1", "Cv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BAACDBEoCDFEoooFooooGGoHH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Cv1,A>2\n"]}} {"board": "AAoBooooBooooCCooDooooDEE", "size": 5, "moves": 3, "solution": ["C<2", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAoBooooBooooCCooDooooDEE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,Bv1,A>3\n"]}} {"board": "AAooBCDEEBCDoFFCoGooooGHH", "size": 5, "moves": 3, "solution": ["F<1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAooBCDEEBCDoFFCoGooooGHH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Bv1,A>3\n"]}} {"board": "oAAoBCCCoBDEEFGDooFGooooo", "size": 5, "moves": 3, "solution": ["Gv1", "Bv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAAoBCCCoBDEEFGDooFGooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nGv1,Bv1,A>2\n"]}} {"board": "BCCCDBEEEDBoAAFGGGoFooHHH", "size": 5, "moves": 3, "solution": ["H<1", "Fv1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BCCCDBEEEDBoAAFGGGoFooHHH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nH<1,Fv1,A>1\n"]}} {"board": "oAABCDooBCDEoooFEGGHFIIoH", "size": 5, "moves": 3, "solution": ["Bv1", "Bv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAABCDooBCDEoooFEGGHFIIoH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>2\n"]}} {"board": "oBBBooooooAAoCDoEECDooooo", "size": 5, "moves": 3, "solution": ["Cv1", "C^2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oBBBooooooAAoCDoEECDooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,C^2,A>3\n"]}} {"board": "oAABooCCBoDDDBEoFFFEooooo", "size": 5, "moves": 3, "solution": ["F<1", "Bv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAABooCCBoDDDBEoFFFEooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Bv1,A>2\n"]}} {"board": "BoCooBoCDEBoFDEooFDGAAooG", "size": 5, "moves": 3, "solution": ["E^1", "G^1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BoCooBoCDEBoFDEooFDGAAooG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,G^1,A>3\n"]}} {"board": "AABCDooBCDoEBoDoEoooFFGGo", "size": 5, "moves": 4, "solution": ["Bv1", "Bv1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AABCDooBCDoEBoDoEoooFFGGo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,Bv1,A>3\n"]}} {"board": "oBBBoCooDECFGDEHFGIEHAAIo", "size": 5, "moves": 4, "solution": ["B<1", "D^1", "I^1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oBBBoCooDECFGDEHFGIEHAAIo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,D^1,I^1,A>2\n"]}} {"board": "BAAoCBoDDCBoooEooFoEGGFoo", "size": 5, "moves": 3, "solution": ["Ev1", "Cv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BAAoCBoDDCBoooEooFoEGGFoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,Cv1,A>2\n"]}} {"board": "BBBooCCCDEFGoDEFGoDHFAAoH", "size": 5, "moves": 3, "solution": ["E^1", "H^1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BBBooCCCDEFGoDEFGoDHFAAoH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,H^1,A>2\n"]}} {"board": "BoAACBDDECBooEFGGGEFHHooo", "size": 5, "moves": 3, "solution": ["Fv1", "Cv1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BoAACBDDECBooEFGGGEFHHooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nFv1,Cv1,A>1\n"]}} {"board": "BoAACBDooCBDEEEFoGooFoGoo", "size": 5, "moves": 4, "solution": ["D^1", "E<1", "Dv1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BoAACBDooCBDEEEFoGooFoGoo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E<1,Dv1,A>1\n"]}} {"board": "oBBBCDEAACDEFFCDEoGGooHHH", "size": 5, "moves": 4, "solution": ["G<1", "H<1", "Cv2", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oBBBCDEAACDEFFCDEoGGooHHH\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,H<1,Cv2,A>1\n"]}} {"board": "AABoCDEBoCDEooCDFooooFGGG", "size": 5, "moves": 3, "solution": ["Bv1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AABoCDEBoCDEooCDFooooFGGG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>3\n"]}} {"board": "oAAoBCCCDBEEEDFGGGoFHHooo", "size": 5, "moves": 3, "solution": ["Fv1", "Bv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAAoBCCCDBEEEDFGGGoFHHooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nFv1,Bv1,A>2\n"]}} {"board": "AABoCDDBoCooBooEEoFFGGHHH", "size": 5, "moves": 3, "solution": ["Bv1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AABoCDDBoCooBooEEoFFGGHHH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>3\n"]}} {"board": "AAoBCooDBCooDoEoooFEGGoFo", "size": 5, "moves": 4, "solution": ["Bv1", "Ev1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAoBCooDBCooDoEoooFEGGoFo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Ev1,Bv1,A>3\n"]}} {"board": "BCoDoBCoDEAAoFEoooFGoHHHG", "size": 5, "moves": 4, "solution": ["E^1", "H<1", "Fv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BCoDoBCoDEAAoFEoooFGoHHHG\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,H<1,Fv1,A>3\n"]}} {"board": "oooBoAAoBCoDDoCooooCoooEE", "size": 5, "moves": 4, "solution": ["Bv2", "E<1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oooBoAAoBCoDDoCooooCoooEE\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,E<1,Bv1,A>3\n"]}} {"board": "AAooBCCooBooooDEEFFDooGGG", "size": 5, "moves": 4, "solution": ["G<1", "Dv1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAooBCCooBooooDEEFFDooGGG\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,Dv1,Bv1,A>3\n"]}} {"board": "oAABCoDoBCEDFooEDFGGHHHII", "size": 5, "moves": 3, "solution": ["Bv1", "Bv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAABCoDoBCEDFooEDFGGHHHII\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>2\n"]}} {"board": "BBBooCDEoFCDEoFCoooGooAAG", "size": 5, "moves": 3, "solution": ["F^1", "G^1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BBBooCDEoFCDEoFCoooGooAAG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,G^1,A>1\n"]}} {"board": "oooBoCAABDCEEoDFoGGDFHHHo", "size": 5, "moves": 4, "solution": ["Dv1", "G<1", "Bv2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oooBoCAABDCEEoDFoGGDFHHHo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,G<1,Bv2,A>2\n"]}} {"board": "AABCoooBCDoEEoDFGGooFoooo", "size": 5, "moves": 4, "solution": ["Cv1", "E<1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AABCoooBCDoEEoDFGGooFoooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,E<1,Bv1,A>3\n"]}} {"board": "BBBooooCCCDDDoEoAAoEooooE", "size": 5, "moves": 3, "solution": ["C<1", "E^2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BBBooooCCCDDDoEoAAoEooooE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,E^2,A>2\n"]}} {"board": "oAABCDEEBCDoFGoDoFGoooFoo", "size": 5, "moves": 4, "solution": ["Cv1", "Gv1", "Bv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAABCDEEBCDoFGoDoFGoooFoo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Gv1,Bv1,A>2\n"]}} {"board": "BBBooCDEFoCDEFGCAAFGoHHoo", "size": 5, "moves": 3, "solution": ["F^1", "G^1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BBBooCDEFoCDEFGCAAFGoHHoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,G^1,A>2\n"]}} {"board": "ooAABCDDEBCFFEGCHHEGIIIoo", "size": 5, "moves": 3, "solution": ["Gv1", "Bv1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooAABCDDEBCFFEGCHHEGIIIoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nGv1,Bv1,A>1\n"]}} {"board": "BBBooAAoCoDDDCoEoFFoEoooo", "size": 5, "moves": 3, "solution": ["F<1", "Cv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BBBooAAoCoDDDCoEoFFoEoooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Cv1,A>3\n"]}} {"board": "ooAABCDEFBCDEFGHoooGHoIII", "size": 5, "moves": 4, "solution": ["I<1", "Gv1", "Bv1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooAABCDEFBCDEFGHoooGHoIII\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nI<1,Gv1,Bv1,A>1\n"]}} {"board": "BCCCoBAADEBFoDEoFoDoooGGG", "size": 5, "moves": 4, "solution": ["Ev1", "G<2", "Dv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BCCCoBAADEBFoDEoFoDoooGGG\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,G<2,Dv1,A>2\n"]}} {"board": "BCDEFBCDEFGoHHHGIooJoIAAJ", "size": 5, "moves": 3, "solution": ["H<1", "J^1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BCDEFBCDEFGoHHHGIooJoIAAJ\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nH<1,J^1,A>1\n"]}} {"board": "AAoBoCoDBECoDBEFGHHEFGoII", "size": 5, "moves": 4, "solution": ["G^2", "H<1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAoBoCoDBECoDBEFGHHEFGoII\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nG^2,H<1,Bv1,A>3\n"]}} {"board": "BooooBoooCBAADCEFoDGEFooG", "size": 5, "moves": 3, "solution": ["C^1", "D^2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BooooBoooCBAADCEFoDGEFooG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^2,A>2\n"]}} {"board": "oooBoooCBDAACoDoEoFFoEooo", "size": 5, "moves": 3, "solution": ["C^1", "D^1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oooBoooCBDAACoDoEoFFoEooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^1,A>3\n"]}} {"board": "AABoCDEBFCDEoFoGooFHGoooH", "size": 5, "moves": 3, "solution": ["Bv1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AABoCDEBFCDEoFoGooFHGoooH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>3\n"]}} {"board": "oBAACDBEECDFoGGHFIJJHoIoo", "size": 5, "moves": 3, "solution": ["G<1", "Cv1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oBAACDBEECDFoGGHFIJJHoIoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,Cv1,A>1\n"]}} {"board": "ooAABCoooBCDooBCDEEEoDFFF", "size": 5, "moves": 4, "solution": ["D^2", "E<1", "Cv1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooAABCoooBCDooBCDEEEoDFFF\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,E<1,Cv1,A>1\n"]}} {"board": "oAAoBCCCDBoEEDFGHoDFGHooo", "size": 5, "moves": 3, "solution": ["Fv1", "Bv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAAoBCCCDBoEEDFGHoDFGHooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nFv1,Bv1,A>2\n"]}} {"board": "oAABoCCCBoDDoBEFoGGEFHHHo", "size": 5, "moves": 3, "solution": ["G<1", "Bv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAABoCCCBoDDoBEFoGGEFHHHo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,Bv1,A>2\n"]}} {"board": "BoAACBDDDCoEooCFEoGGFHHHo", "size": 5, "moves": 3, "solution": ["G<1", "Cv1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BoAACBDDDCoEooCFEoGGFHHHo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,Cv1,A>1\n"]}} {"board": "AAoBCDDEBCooEoFooooFoGGoo", "size": 5, "moves": 4, "solution": ["Bv1", "Fv1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAoBCDDEBCooEoFooooFoGGoo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Fv1,Bv1,A>3\n"]}} {"board": "oAAoBooCDBEECDFGGHHFoooII", "size": 5, "moves": 4, "solution": ["I<1", "Fv1", "Bv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAAoBooCDBEECDFGGHHFoooII\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nI<1,Fv1,Bv1,A>2\n"]}} {"board": "BBBooooCCCoooDEFAADEFooDo", "size": 5, "moves": 4, "solution": ["C<2", "D^2", "E^1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BBBooooCCCoooDEFAADEFooDo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,D^2,E^1,A>2\n"]}} {"board": "AAooBoCCDBEFGDHEFGoHoFGoo", "size": 5, "moves": 3, "solution": ["Hv1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAooBoCCDBEFGDHEFGoHoFGoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nHv1,Bv1,A>3\n"]}} {"board": "oBAACDBooCDBEFGHoEFGHooII", "size": 5, "moves": 4, "solution": ["I<1", "Gv1", "Cv1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oBAACDBooCDBEFGHoEFGHooII\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nI<1,Gv1,Cv1,A>1\n"]}} {"board": "AAoBCDoEBCDFEooDFoGGooHHo", "size": 5, "moves": 3, "solution": ["Bv1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAoBCDoEBCDFEooDFoGGooHHo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>3\n"]}} {"board": "AABooCCBDDooEoooFEoGoFooG", "size": 5, "moves": 3, "solution": ["Ev1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AABooCCBDDooEoooFEoGoFooG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,Bv1,A>3\n"]}} {"board": "oBBBoCCCDoAAoDooEEFFGGGHH", "size": 5, "moves": 3, "solution": ["B<1", "D^1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oBBBoCCCDoAAoDooEEFFGGGHH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,D^1,A>3\n"]}} {"board": "ooooooBAACDBEECDBFFFoooGG", "size": 5, "moves": 4, "solution": ["B^1", "F<1", "Cv1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooooooBAACDBEECDBFFFoooGG\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,F<1,Cv1,A>1\n"]}} {"board": "AABCDEoBCDEFBooGFoHHGFIII", "size": 5, "moves": 4, "solution": ["Bv1", "Bv1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AABCDEoBCDEFBooGFoHHGFIII\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,Bv1,A>3\n"]}} {"board": "BCoDoBCEDoBoEDFooGoFAAGoo", "size": 5, "moves": 3, "solution": ["E^1", "G^1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BCoDoBCEDoBoEDFooGoFAAGoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,G^1,A>3\n"]}} {"board": "oAABCooDBCEEDoFoGooFoGHHo", "size": 5, "moves": 4, "solution": ["Bv1", "Fv1", "Bv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAABCooDBCEEDoFoGooFoGHHo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Fv1,Bv1,A>2\n"]}} {"board": "AAooBCDDoBCoEEEFFFGGooooo", "size": 5, "moves": 3, "solution": ["E<1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAooBCDDoBCoEEEFFFGGooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv1,A>3\n"]}} {"board": "BAACoBDECFoDEGFooEGHoIIIH", "size": 5, "moves": 4, "solution": ["I<1", "Gv1", "Cv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BAACoBDECFoDEGFooEGHoIIIH\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nI<1,Gv1,Cv1,A>2\n"]}} {"board": "AAooBCDDoBCEFGHIEFGHIoJJJ", "size": 5, "moves": 4, "solution": ["J<1", "Hv1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAooBCDDoBCEFGHIEFGHIoJJJ\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nJ<1,Hv1,Bv1,A>3\n"]}} {"board": "BAAoCBDEoCoDEoFGHHoFGIIoo", "size": 5, "moves": 3, "solution": ["Fv1", "Cv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BAAoCBDEoCoDEoFGHHoFGIIoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nFv1,Cv1,A>2\n"]}} {"board": "oBCCCoBDDDoAAEoFGGEHFIIIH", "size": 5, "moves": 4, "solution": ["F^1", "I<1", "Fv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oBCCCoBDDDoAAEoFGGEHFIIIH\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,I<1,Fv1,A>2\n"]}} {"board": "oAAoBCCDDBEEoFFoGGHIoooHI", "size": 5, "moves": 3, "solution": ["F<1", "Bv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAAoBCCDDBEEoFFoGGHIoooHI\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Bv1,A>2\n"]}} {"board": "ooAABCCDoBEEDoFGGDHFIIIHo", "size": 5, "moves": 3, "solution": ["Fv1", "Bv1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooAABCCDoBEEDoFGGDHFIIIHo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nFv1,Bv1,A>1\n"]}} {"board": "oAABCoDDBCooooCEFGGoEFHHo", "size": 5, "moves": 3, "solution": ["Bv1", "Bv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAABCoDDBCooooCEFGGoEFHHo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>2\n"]}} {"board": "oBCCCoBAADEFooDEFoGGooooo", "size": 5, "moves": 3, "solution": ["G<1", "Dv1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oBCCCoBAADEFooDEFoGGooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,Dv1,A>1\n"]}} {"board": "BCCCDBAAEDBFFEooooGGooHHo", "size": 5, "moves": 4, "solution": ["G<2", "Dv2", "Dv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BCCCDBAAEDBFFEooooGGooHHo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<2,Dv2,Dv1,A>2\n"]}} {"board": "ooAABCCCoBoDDDEFoooEFoGGG", "size": 5, "moves": 4, "solution": ["G<1", "Ev1", "Bv1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooAABCCCoBoDDDEFoooEFoGGG\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,Ev1,Bv1,A>1\n"]}} {"board": "ooBooooBCoAAoCDEEFFDGGHHo", "size": 5, "moves": 3, "solution": ["C^1", "D^2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooBooooBCoAAoCDEEFFDGGHHo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^2,A>3\n"]}} {"board": "BAACoBoDCoEEDFoGGDFooHHoo", "size": 5, "moves": 3, "solution": ["Fv1", "Cv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BAACoBoDCoEEDFoGGDFooHHoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nFv1,Cv1,A>2\n"]}} {"board": "AAoBooCCBoooDEEFFDoGooooG", "size": 5, "moves": 4, "solution": ["Dv1", "D<2", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAoBooCCBoooDEEFFDoGooooG\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,D<2,Bv1,A>3\n"]}} {"board": "BAACoBDDCoBoEFFooEoGHHooG", "size": 5, "moves": 4, "solution": ["Ev1", "E<2", "Cv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BAACoBDDCoBoEFFooEoGHHooG\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,E<2,Cv1,A>2\n"]}} {"board": "oBBBCoAAoCDEoFFDEoooDoGGo", "size": 5, "moves": 3, "solution": ["F<1", "Cv2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oBBBCoAAoCDEoFFDEoooDoGGo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Cv2,A>2\n"]}} {"board": "ooooBCoooBCAADEFoGDEFoGoo", "size": 5, "moves": 3, "solution": ["D^2", "Ev1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooooBCoooBCAADEFoGDEFoGoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,Ev1,A>2\n"]}} {"board": "ooBCoAABCooDDoEFFooEGGHHH", "size": 5, "moves": 4, "solution": ["Cv2", "C<1", "Bv2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooBCoAABCooDDoEFFooEGGHHH\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,C<1,Bv2,A>3\n"]}} {"board": "AABooooBCDoEECDFFoGGoHHoo", "size": 5, "moves": 3, "solution": ["E<1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AABooooBCDoEECDFFoGGoHHoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv1,A>3\n"]}} {"board": "oAABoCCCBoooDDooEEEoFFGGG", "size": 5, "moves": 3, "solution": ["D<1", "Bv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAABoCCCBoooDDooEEEoFFGGG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv1,A>2\n"]}} {"board": "AAoBCoooBCDoEoFDoEoFoGGoo", "size": 5, "moves": 4, "solution": ["Bv1", "Fv1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAoBCoooBCDoEoFDoEoFoGGoo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Fv1,Bv1,A>3\n"]}} {"board": "BoooCBDAACBDEECoooFFooGGo", "size": 5, "moves": 3, "solution": ["F<1", "Cv2", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BoooCBDAACBDEECoooFFooGGo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Cv2,A>1\n"]}} {"board": "ooAABCCCoBDoEoFDoEoFGGoHH", "size": 5, "moves": 4, "solution": ["H<1", "Fv1", "Bv1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooAABCCCoBDoEoFDoEoFGGoHH\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nH<1,Fv1,Bv1,A>1\n"]}} {"board": "AAoBoCCCBDoEEEDFGHHoFGoII", "size": 5, "moves": 3, "solution": ["E<1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAoBoCCCBDoEEEDFGHHoFGoII\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv1,A>3\n"]}} {"board": "BoAACBDDoCoEFGHIEFGHIoooo", "size": 5, "moves": 3, "solution": ["Hv1", "Cv1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BoAACBDDoCoEFGHIEFGHIoooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nHv1,Cv1,A>1\n"]}} {"board": "AAooBoCDoBoCDEFGGGEFHHooo", "size": 5, "moves": 3, "solution": ["Fv1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAooBoCDoBoCDEFGGGEFHHooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nFv1,Bv1,A>3\n"]}} {"board": "oAABCoooBCDoEBoDoEooFFooo", "size": 5, "moves": 3, "solution": ["Bv1", "Bv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAABCoooBCDoEBoDoEooFFooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>2\n"]}} {"board": "AAooBoCoDBECFDGECFoGoHHHo", "size": 5, "moves": 3, "solution": ["Gv1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAooBoCoDBECFDGECFoGoHHHo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nGv1,Bv1,A>3\n"]}} {"board": "BoooCBDAACEDoooEoFFFEoGGo", "size": 5, "moves": 3, "solution": ["F<1", "Cv2", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BoooCBDAACEDoooEoFFFEoGGo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Cv2,A>1\n"]}} {"board": "BooooBCooDBCoEDAAoEDFFoGG", "size": 5, "moves": 3, "solution": ["D^1", "E^1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BooooBCooDBCoEDAAoEDFFoGG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E^1,A>3\n"]}} {"board": "AABCoDDBCoEooCFEoGGFEoHHo", "size": 5, "moves": 4, "solution": ["Bv1", "G<1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AABCoDDBCoEooCFEoGGFEoHHo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,G<1,Bv1,A>3\n"]}} {"board": "BAACDBEECDoFFFoGGGHHooIII", "size": 5, "moves": 4, "solution": ["Dv1", "F<1", "Cv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BAACDBEECDoFFFoGGGHHooIII\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,F<1,Cv1,A>2\n"]}} {"board": "AAoBCDooBCDoooEDooFEoGGFo", "size": 5, "moves": 4, "solution": ["Bv1", "Ev1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAoBCDooBCDoooEDooFEoGGFo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Ev1,Bv1,A>3\n"]}} {"board": "BAACDBooCDEFFCGEHHoGIIJJo", "size": 5, "moves": 4, "solution": ["Cv1", "Gv1", "Cv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BAACDBooCDEFFCGEHHoGIIJJo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Gv1,Cv1,A>2\n"]}} {"board": "BCDDDBCoEoBooEFoAAoFoGGoF", "size": 5, "moves": 4, "solution": ["Cv1", "C<1", "F^2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BCDDDBCoEoBooEFoAAoFoGGoF\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,C<1,F^2,A>2\n"]}} {"board": "oBoooCBDoECoDoEooDoFoAAoF", "size": 5, "moves": 3, "solution": ["E^1", "F^1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oBoooCBDoECoDoEooDoFoAAoF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,F^1,A>2\n"]}} {"board": "oBBBCAAooCoDDoCoEEFFoGGoo", "size": 5, "moves": 4, "solution": ["E<1", "F<1", "Cv2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oBBBCAAooCoDDoCoEEFFoGGoo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,F<1,Cv2,A>3\n"]}} {"board": "AABooooBCDEFGCDEFGHIEooHI", "size": 5, "moves": 3, "solution": ["Gv1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AABooooBCDEFGCDEFGHIEooHI\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nGv1,Bv1,A>3\n"]}} {"board": "ooooBoCCCBoooDBoAADoooEEo", "size": 5, "moves": 3, "solution": ["C<1", "D^1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooooBoCCCBoooDBoAADoooEEo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,D^1,A>2\n"]}} {"board": "BAAoCBoooCooDoCooDEEFFGGo", "size": 5, "moves": 4, "solution": ["D^1", "E<1", "Cv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BAAoCBoooCooDoCooDEEFFGGo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E<1,Cv1,A>2\n"]}} {"board": "BBBoCooDoCAADoooEEFFooGGo", "size": 5, "moves": 4, "solution": ["E<1", "G<2", "Dv2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BBBoCooDoCAADoooEEFFooGGo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,G<2,Dv2,A>3\n"]}} {"board": "oAAoBooCCBoDEoFGDEoFGDEoo", "size": 5, "moves": 3, "solution": ["Fv1", "Bv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAAoBooCCBoDEoFGDEoFGDEoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nFv1,Bv1,A>2\n"]}} {"board": "BCoDoBCoDoBAAEFGHoEFGHooo", "size": 5, "moves": 3, "solution": ["Ev1", "E^2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BCoDoBCoDoBAAEFGHoEFGHooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,E^2,A>2\n"]}} {"board": "ooAABoCCCBoDoEEFDGGGFoHHH", "size": 5, "moves": 3, "solution": ["E<1", "Bv1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooAABoCCCBoDoEEFDGGGFoHHH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv1,A>1\n"]}} {"board": "oAABoCCCBDoEEEDoFFFDGGoHH", "size": 5, "moves": 3, "solution": ["E<1", "Bv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAABoCCCBDoEEEDoFFFDGGoHH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv1,A>2\n"]}} {"board": "oAABCooDBCEFDBoEFDooEFGGG", "size": 5, "moves": 3, "solution": ["Bv1", "Bv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAABCooDBCEFDBoEFDooEFGGG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>2\n"]}} {"board": "ooooooooBCoAABCDoEEFDoGGF", "size": 5, "moves": 3, "solution": ["B^1", "C^1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooooooooBCoAABCDoEEFDoGGF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,C^1,A>2\n"]}} {"board": "BAACDBEECDooFFDGGGoooHHII", "size": 5, "moves": 4, "solution": ["Dv1", "F<1", "Cv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BAACDBEECDooFFDGGGoooHHII\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,F<1,Cv1,A>2\n"]}} {"board": "AABoCDDBoCoEFGooEFGooEoGo", "size": 5, "moves": 4, "solution": ["Cv1", "Fv1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AABoCDDBoCoEFGooEFGooEoGo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Fv1,Bv1,A>3\n"]}} {"board": "oAABCoooBCooooooDDDEoFFoE", "size": 5, "moves": 3, "solution": ["Bv1", "Bv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAABCoooBCooooooDDDEoFFoE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>2\n"]}} {"board": "oAABooCDBEoCDFEoGGFooHHHo", "size": 5, "moves": 4, "solution": ["H<1", "Fv1", "Bv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAABooCDBEoCDFEoGGFooHHHo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nH<1,Fv1,Bv1,A>2\n"]}} {"board": "BAACDBEECDBooCooFFooGGGHH", "size": 5, "moves": 3, "solution": ["Cv1", "Cv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BAACDBEECDBooCooFFooGGGHH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Cv1,A>2\n"]}} {"board": "BBBoCoDDDCEAAFoEGoFHEGIIH", "size": 5, "moves": 3, "solution": ["D<1", "F^2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BBBoCoDDDCEAAFoEGoFHEGIIH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,F^2,A>2\n"]}} {"board": "BCAADBCEEDooFFFGGHHoIIooo", "size": 5, "moves": 3, "solution": ["F<1", "Dv1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BCAADBCEEDooFFFGGHHoIIooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Dv1,A>1\n"]}} {"board": "oAABCoooBCooDDCooEFoGGEFo", "size": 5, "moves": 4, "solution": ["Cv1", "D<1", "Bv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAABCoooBCooDDCooEFoGGEFo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,D<1,Bv1,A>2\n"]}} {"board": "AAoBCoooBCDoEFoDoEFoooooo", "size": 5, "moves": 4, "solution": ["Cv1", "Fv1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAoBCoooBCDoEFoDoEFoooooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Fv1,Bv1,A>3\n"]}} {"board": "oBBBCooAACoDDDoooEEEoFFFo", "size": 5, "moves": 3, "solution": ["E<1", "Cv2", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oBBBCooAACoDDDoooEEEoFFFo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Cv2,A>1\n"]}} {"board": "ooBooAABoooCoDDoCEEooFFFo", "size": 5, "moves": 3, "solution": ["E>1", "Bv2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooBooAABoooCoDDoCEEooFFFo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE>1,Bv2,A>3\n"]}} {"board": "BAAoCBDDoCBooEEFGGGoFoooo", "size": 5, "moves": 3, "solution": ["E<1", "Cv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BAAoCBDDoCBooEEFGGGoFoooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Cv1,A>2\n"]}} {"board": "ooAABCCooBDDooEFFoGEoHHGo", "size": 5, "moves": 3, "solution": ["Ev1", "Bv1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooAABCCooBDDooEFFoGEoHHGo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,Bv1,A>1\n"]}} {"board": "AAoBoCCDBoEFDGoEFHGoEFHoo", "size": 5, "moves": 3, "solution": ["Gv1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAoBoCCDBoEFDGoEFHGoEFHoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nGv1,Bv1,A>3\n"]}} {"board": "BCoooBCAADEoooDEFFoDoooGG", "size": 5, "moves": 3, "solution": ["G<1", "Dv1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BCoooBCAADEoooDEFFoDoooGG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,Dv1,A>1\n"]}} {"board": "AABoCDEBoCDEBoooFFoGoHHHG", "size": 5, "moves": 4, "solution": ["Cv1", "F<1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AABoCDEBoCDEBoooFFoGoHHHG\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,F<1,Bv1,A>3\n"]}} {"board": "oBoCDoBoCDoAAEFGGoEFoHHoo", "size": 5, "moves": 3, "solution": ["Ev1", "Ev1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oBoCDoBoCDoAAEFGGoEFoHHoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,Ev1,A>2\n"]}} {"board": "AABoCDDBECoFFEoGGoEooooHH", "size": 5, "moves": 4, "solution": ["Cv1", "F<1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AABoCDDBECoFFEoGGoEooooHH\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,F<1,Bv1,A>3\n"]}} {"board": "oBoooCBooDCAAEDFooEGFHHoG", "size": 5, "moves": 3, "solution": ["D^1", "E^2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oBoooCBooDCAAEDFooEGFHHoG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E^2,A>2\n"]}} {"board": "AABoCoDBoCEDBooEDFFooGGHH", "size": 5, "moves": 4, "solution": ["Cv1", "F>1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AABoCoDBoCEDBooEDFFooGGHH\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,F>1,Bv1,A>3\n"]}} {"board": "oBAACDBEECDBoFFooGooooGoo", "size": 5, "moves": 3, "solution": ["F<1", "Cv1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oBAACDBEECDBoFFooGooooGoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Cv1,A>1\n"]}} {"board": "oBBBCDDDoCAAEFoGGEFoooooo", "size": 5, "moves": 3, "solution": ["Ev1", "Ev1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oBBBCDDDoCAAEFoGGEFoooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,Ev1,A>3\n"]}} {"board": "AABCooDBCEoDooEFGGHHFoIIo", "size": 5, "moves": 3, "solution": ["Bv1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AABCooDBCEoDooEFGGHHFoIIo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>3\n"]}} {"board": "BCCCDBoAADBoEEEFoGGGFooHH", "size": 5, "moves": 4, "solution": ["E<1", "G<1", "Dv2", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BCCCDBoAADBoEEEFoGGGFooHH\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,G<1,Dv2,A>1\n"]}} {"board": "oBCDoEBCDFEAAGFHIIGoHooJJ", "size": 5, "moves": 4, "solution": ["F^1", "J<2", "Gv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oBCDoEBCDFEAAGFHIIGoHooJJ\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,J<2,Gv1,A>2\n"]}} {"board": "BoAACBoDoCEEDFGoHIFGoHIFo", "size": 5, "moves": 3, "solution": ["Gv1", "Cv1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BoAACBoDoCEEDFGoHIFGoHIFo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nGv1,Cv1,A>1\n"]}} {"board": "oAABCDDoBCooooooEEEooooFF", "size": 5, "moves": 3, "solution": ["Bv1", "Bv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAABCDDoBCooooooEEEooooFF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>2\n"]}} {"board": "BoAACBoDDCBooEEFGGGHFIIIH", "size": 5, "moves": 3, "solution": ["E<1", "Cv1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BoAACBoDDCBooEEFGGGHFIIIH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Cv1,A>1\n"]}} {"board": "ooAABCCooBDEEEBDoFFFoooGG", "size": 5, "moves": 3, "solution": ["F<1", "Bv1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooAABCCooBDEEEBDoFFFoooGG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Bv1,A>1\n"]}} {"board": "oooooAAooBCCDEBooDEBooFFF", "size": 5, "moves": 3, "solution": ["F<1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oooooAAooBCCDEBooDEBooFFF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Bv1,A>3\n"]}} {"board": "BAACDBEECDFooooFooGGoooHH", "size": 5, "moves": 3, "solution": ["Cv1", "Cv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BAACDBEECDFooooFooGGoooHH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Cv1,A>2\n"]}} {"board": "AAooBoCCCBoooDDoEEooFFooo", "size": 5, "moves": 3, "solution": ["D<1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAooBoCCCBoooDDoEEooFFooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv1,A>3\n"]}} {"board": "AABooCDBEECDFFoCoGGoHHooo", "size": 5, "moves": 3, "solution": ["F>1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AABooCDBEECDFFoCoGGoHHooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF>1,Bv1,A>3\n"]}} {"board": "oBoooCBDooCoDooAADEFoGGEF", "size": 5, "moves": 4, "solution": ["D^1", "E^2", "F^2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oBoooCBDooCoDooAADEFoGGEF\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E^2,F^2,A>3\n"]}} {"board": "BCoDoBCoDoooEoFAAEoFGGGoo", "size": 5, "moves": 3, "solution": ["E^1", "F^1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BCoDoBCoDoooEoFAAEoFGGGoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,F^1,A>3\n"]}} {"board": "ooBoooCBoooCBDEoAADEoFFGG", "size": 5, "moves": 3, "solution": ["D^1", "E^1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooBoooCBoooCBDEoAADEoFFGG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E^1,A>2\n"]}} {"board": "BoooCBoAACBDDDCEooFFEGGoo", "size": 5, "moves": 3, "solution": ["F<1", "Cv2", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BoooCBoAACBDDDCEooFFEGGoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Cv2,A>1\n"]}} {"board": "BCDEoBCDEFooooFooooGAAooG", "size": 5, "moves": 3, "solution": ["F^1", "G^1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BCDEoBCDEFooooFooooGAAooG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,G^1,A>3\n"]}} {"board": "oAABCDooBCDooooDEEoFGGHHF", "size": 5, "moves": 3, "solution": ["Bv1", "Bv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAABCDooBCDooooDEEoFGGHHF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>2\n"]}} {"board": "BBBoooAACDoEECDFFooDGGooo", "size": 5, "moves": 3, "solution": ["Cv1", "Cv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BBBoooAACDoEECDFFooDGGooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Cv1,A>2\n"]}} {"board": "AABoCoDBECFDoEoFooEoGGGHH", "size": 5, "moves": 3, "solution": ["Bv1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AABoCoDBECFDoEoFooEoGGGHH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>3\n"]}} {"board": "oBBBCooooCDAAEoDooEoFFFGG", "size": 5, "moves": 3, "solution": ["B<1", "E^2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oBBBCooooCDAAEoDooEoFFFGG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,E^2,A>2\n"]}} {"board": "BoAACBooDCEEoDFGGGHFoIIHo", "size": 5, "moves": 3, "solution": ["Fv1", "Cv1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BoAACBooDCEEoDFGGGHFoIIHo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nFv1,Cv1,A>1\n"]}} {"board": "AABCoDDBCEoFFCEGHHoEGoIII", "size": 5, "moves": 4, "solution": ["Cv1", "F<1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AABCoDDBCEoFFCEGHHoEGoIII\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,F<1,Bv1,A>3\n"]}} {"board": "oBBBooCDEooCDEooAAEFoGGGF", "size": 5, "moves": 4, "solution": ["B<1", "E^1", "F^2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oBBBooCDEooCDEooAAEFoGGGF\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,E^1,F^2,A>2\n"]}} {"board": "oAABCDoEBCDoEBCoFFFooGGHH", "size": 5, "moves": 4, "solution": ["Cv1", "F<1", "Bv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAABCDoEBCDoEBCoFFFooGGHH\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,F<1,Bv1,A>2\n"]}} {"board": "oBBBoAACDoEECDFoGoDFoGooF", "size": 5, "moves": 3, "solution": ["Cv1", "Cv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oBBBoAACDoEECDFoGoDFoGooF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Cv1,A>3\n"]}} {"board": "BCoooBCDEoAADEFGoHHFGoooo", "size": 5, "moves": 4, "solution": ["D^1", "E^1", "F^2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BCoooBCDEoAADEFGoHHFGoooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E^1,F^2,A>3\n"]}} {"board": "ooooBCAAoBCDDooooEEEoFFoo", "size": 5, "moves": 3, "solution": ["E<1", "Bv2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooooBCAAoBCDDooooEEEoFFoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv2,A>2\n"]}} {"board": "BAACDBooCDEEFooooFooGGFHH", "size": 5, "moves": 3, "solution": ["Cv1", "Cv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BAACDBooCDEEFooooFooGGFHH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Cv1,A>2\n"]}} {"board": "ooAABoooCBDDoCEFoGGEFHHHo", "size": 5, "moves": 3, "solution": ["Ev1", "Bv1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooAABoooCBDDoCEFoGGEFHHHo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,Bv1,A>1\n"]}} {"board": "oAABoCCCBoDooEEDooFFoGGHH", "size": 5, "moves": 3, "solution": ["E<2", "Bv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAABoCCCBoDooEEDooFFoGGHH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<2,Bv1,A>2\n"]}} {"board": "BCDDDBCooEBCAAEFoGHHFoGoo", "size": 5, "moves": 4, "solution": ["Cv1", "C<1", "E^1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BCDDDBCooEBCAAEFoGHHFoGoo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,C<1,E^1,A>1\n"]}} {"board": "AAoBoCooBDCEoFDoEoFoooGGG", "size": 5, "moves": 4, "solution": ["G<2", "Fv1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAoBoCooBDCEoFDoEoFoooGGG\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<2,Fv1,Bv1,A>3\n"]}} {"board": "BoAACBoooCoooDDEFoooEFGGo", "size": 5, "moves": 3, "solution": ["D<1", "Cv1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BoAACBoooCoooDDEFoooEFGGo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Cv1,A>1\n"]}} {"board": "BCAADBCEEDoCFGGHIFooHIooo", "size": 5, "moves": 4, "solution": ["Fv1", "F<1", "Dv1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BCAADBCEEDoCFGGHIFooHIooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nFv1,F<1,Dv1,A>1\n"]}} {"board": "ooBBBoooCDAAoCDEoooFEoooF", "size": 5, "moves": 4, "solution": ["B<1", "Cv2", "C^1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooBBBoooCDAAoCDEoooFEoooF\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,Cv2,C^1,A>3\n"]}} {"board": "oBooCoBAACDDDoCooEEEFFFoo", "size": 5, "moves": 3, "solution": ["E<1", "Cv2", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oBooCoBAACDDDoCooEEEFFFoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Cv2,A>1\n"]}} {"board": "BooooBoCCCBoooooAADooEEDo", "size": 5, "moves": 4, "solution": ["Bv2", "B<2", "D^2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BooooBoCCCBoooooAADooEEDo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,B<2,D^2,A>2\n"]}} {"board": "AABooooBCCoDDoEFGHHEFGooo", "size": 5, "moves": 3, "solution": ["D<1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AABooooBCCoDDoEFGHHEFGooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv1,A>3\n"]}} {"board": "AABooCCBoDoEEoDooFFFGGoHH", "size": 5, "moves": 3, "solution": ["E<1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AABooCCBoDoEEoDooFFFGGoHH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv1,A>3\n"]}} {"board": "BooCoBoDCoAADEoooFEoGGFoo", "size": 5, "moves": 3, "solution": ["D^1", "Ev1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BooCoBoDCoAADEoooFEoGGFoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,Ev1,A>3\n"]}} {"board": "ooBooooBoCDEoFCDEoFGDEAAG", "size": 5, "moves": 3, "solution": ["C^1", "G^1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooBooooBoCDEoFCDEoFGDEAAG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,G^1,A>1\n"]}} {"board": "BoAACBDDECFFoECoGoHHoGoII", "size": 5, "moves": 3, "solution": ["H<1", "Cv1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BoAACBDDECFFoECoGoHHoGoII\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nH<1,Cv1,A>1\n"]}} {"board": "BoAACBoDDCEoFFCEGoHHoGIII", "size": 5, "moves": 3, "solution": ["H<1", "Cv1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BoAACBoDDCEoFFCEGoHHoGIII\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nH<1,Cv1,A>1\n"]}} {"board": "oAABoCDDBoCEEEooFFGGHHHII", "size": 5, "moves": 4, "solution": ["C^1", "E<1", "Cv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAABoCDDBoCEEEooFFGGHHHII\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,E<1,Cv1,A>2\n"]}} {"board": "oBooCDBAACDBEFCDoEFoooGGG", "size": 5, "moves": 3, "solution": ["G<1", "Cv2", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oBooCDBAACDBEFCDoEFoooGGG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,Cv2,A>1\n"]}} {"board": "BBBCoDAACEDoFFEGoooEGHHoo", "size": 5, "moves": 4, "solution": ["Ev1", "E<1", "Cv2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BBBCoDAACEDoFFEGoooEGHHoo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,E<1,Cv2,A>2\n"]}} {"board": "ooooBAAooBCCoDDoooooEEooo", "size": 5, "moves": 3, "solution": ["D<1", "Bv2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooooBAAooBCCoDDoooooEEooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv2,A>3\n"]}} {"board": "oBooooBoooAACoDooCoDEEooo", "size": 5, "moves": 3, "solution": ["C^2", "D^2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oBooooBoooAACoDooCoDEEooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,D^2,A>3\n"]}} {"board": "BoAACBooDCBEoDFGEoDFGoooo", "size": 5, "moves": 3, "solution": ["Fv1", "Cv1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BoAACBooDCBEoDFGEoDFGoooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nFv1,Cv1,A>1\n"]}} {"board": "AAoBCoooBCDoEEoDFGGHoFIIH", "size": 5, "moves": 4, "solution": ["Cv1", "E<1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAoBCoooBCDoEEoDFGGHoFIIH\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,E<1,Bv1,A>3\n"]}} {"board": "BoAACBDooCoDEECooFFFooGGo", "size": 5, "moves": 3, "solution": ["F<1", "Cv1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BoAACBDooCoDEECooFFFooGGo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Cv1,A>1\n"]}} {"board": "BAAoCBoooCBDoEEFDoooFDGGo", "size": 5, "moves": 3, "solution": ["E<1", "Cv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BAAoCBoooCBDoEEFDoooFDGGo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Cv1,A>2\n"]}} {"board": "BBBoCAADoCoEDFooEoFooEGGG", "size": 5, "moves": 3, "solution": ["Cv2", "Cv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BBBoCAADoCoEDFooEoFooEGGG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,Cv1,A>3\n"]}} {"board": "oBCDoEBCDFEoooFGHHHIGAAoI", "size": 5, "moves": 3, "solution": ["F^1", "I^1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oBCDoEBCDFEoooFGHHHIGAAoI\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,I^1,A>2\n"]}} {"board": "AAoBCoDDBCEooFoEooFGEoooG", "size": 5, "moves": 4, "solution": ["Cv1", "Fv1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAoBCoDDBCEooFoEooFGEoooG\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Fv1,Bv1,A>3\n"]}} {"board": "oBoCooBDCoAADEooooEFoGGoF", "size": 5, "moves": 3, "solution": ["D^1", "Ev1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oBoCooBDCoAADEooooEFoGGoF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,Ev1,A>3\n"]}} {"board": "AAoBCoDDBCoooooEEFGGHHFoo", "size": 5, "moves": 3, "solution": ["Bv1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAoBCoDDBCoooooEEFGGHHFoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>3\n"]}} {"board": "AABCoDDBCoooEEFooGGFHHHII", "size": 5, "moves": 4, "solution": ["E<2", "Bv1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AABCoDDBCoooEEFooGGFHHHII\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<2,Bv1,Bv1,A>3\n"]}} {"board": "BAAoCBDEFCoDEFGHoooGHoIIo", "size": 5, "moves": 3, "solution": ["Gv1", "Cv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BAAoCBDEFCoDEFGHoooGHoIIo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nGv1,Cv1,A>2\n"]}} {"board": "oAABCoooBCDDDoCEoFooEoFoo", "size": 5, "moves": 3, "solution": ["Bv1", "Bv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAABCoooBCDDDoCEoFooEoFoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>2\n"]}} {"board": "oBBBoAAooCDDooCoEEFFGGooo", "size": 5, "moves": 4, "solution": ["E<1", "F<1", "Cv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oBBBoAAooCDDooCoEEFFGGooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,F<1,Cv1,A>3\n"]}} {"board": "BoAACBDEECBDoFFoGGooHHIIo", "size": 5, "moves": 3, "solution": ["F<1", "Cv1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BoAACBDEECBDoFFoGGooHHIIo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Cv1,A>1\n"]}} {"board": "BBBooCCCDEoAADEoFFFoooGGG", "size": 5, "moves": 3, "solution": ["D^1", "E^1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BBBooCCCDEoAADEoFFFoooGGG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E^1,A>2\n"]}} {"board": "ooBCooDBCEoDBoEoDoFGoAAFG", "size": 5, "moves": 4, "solution": ["E^1", "F^1", "G^1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooBCooDBCEoDBoEoDoFGoAAFG\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,F^1,G^1,A>2\n"]}} {"board": "oAABooooBoooCCoooDDEoFFFE", "size": 5, "moves": 3, "solution": ["C<1", "Bv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAABooooBoooCCoooDDEoFFFE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,Bv1,A>2\n"]}} {"board": "BAAoCBoooCBDEoFoDEoFooooo", "size": 5, "moves": 3, "solution": ["Fv1", "Cv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BAAoCBoooCBDEoFoDEoFooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nFv1,Cv1,A>2\n"]}} {"board": "oAAoBCDDDBCEEFGHHoFGooIIo", "size": 5, "moves": 3, "solution": ["Gv1", "Bv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAAoBCDDDBCEEFGHHoFGooIIo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nGv1,Bv1,A>2\n"]}} {"board": "BBBCoAAoCoDEFFGDEHoGDoHoo", "size": 5, "moves": 4, "solution": ["Ev1", "E<1", "Cv2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BBBCoAAoCoDEFFGDEHoGDoHoo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,E<1,Cv2,A>3\n"]}} {"board": "BAAoCBDDDCoooEEoFGGGoFoHH", "size": 5, "moves": 3, "solution": ["E<1", "Cv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BAAoCBDDDCoooEEoFGGGoFoHH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Cv1,A>2\n"]}} {"board": "oAAoBoCooBoCoDDEFoGGEFHHo", "size": 5, "moves": 3, "solution": ["D<1", "Bv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAAoBoCooBoCoDDEFoGGEFHHo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv1,A>2\n"]}} {"board": "BoCCCBAADEFGoDEFGooEFoHHo", "size": 5, "moves": 3, "solution": ["Dv1", "Dv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BoCCCBAADEFGoDEFGooEFoHHo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,Dv1,A>2\n"]}} {"board": "oooooBBBCDAAoCDooEooFFEGG", "size": 5, "moves": 3, "solution": ["C^1", "D^1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oooooBBBCDAAoCDooEooFFEGG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^1,A>3\n"]}} {"board": "AABCoDEBCoDEFCoGGFooHHooo", "size": 5, "moves": 4, "solution": ["Cv1", "Fv1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AABCoDEBCoDEFCoGGFooHHooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Fv1,Bv1,A>3\n"]}} {"board": "BoAACBDEECFDGGCFDoHHFoIIo", "size": 5, "moves": 3, "solution": ["H<1", "Cv1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BoAACBDEECFDGGCFDoHHFoIIo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nH<1,Cv1,A>1\n"]}} {"board": "oBBBCDoooCDoEEEFGooHFGAAH", "size": 5, "moves": 3, "solution": ["E<1", "H^1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oBBBCDoooCDoEEEFGooHFGAAH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,H^1,A>1\n"]}} {"board": "BCCCoBDAAEBDFFEooGGGoooHH", "size": 5, "moves": 3, "solution": ["G<1", "Ev1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BCCCoBDAAEBDFFEooGGGoooHH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,Ev1,A>1\n"]}} {"board": "AAoBooooBoCCoDoEEoDoooooo", "size": 5, "moves": 3, "solution": ["Dv1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAoBooooBoCCoDoEEoDoooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,Bv1,A>3\n"]}} {"board": "oAAoBooooBoooCCoDoEEoDooo", "size": 5, "moves": 3, "solution": ["C<1", "Bv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAAoBooooBoooCCoDoEEoDooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,Bv1,A>2\n"]}} {"board": "oBBBoCDEEECDooooDAAFooooF", "size": 5, "moves": 4, "solution": ["Dv1", "D<1", "F^2", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oBBBoCDEEECDooooDAAFooooF\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,D<1,F^2,A>1\n"]}} {"board": "BCoooBCoDEFAADEFGHHooGoII", "size": 5, "moves": 3, "solution": ["D^1", "E^1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BCoooBCoDEFAADEFGHHooGoII\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E^1,A>2\n"]}} {"board": "ooAABoCDDBECoFFECGGGHHoII", "size": 5, "moves": 3, "solution": ["F<1", "Bv1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooAABoCDDBECoFFECGGGHHoII\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Bv1,A>1\n"]}} {"board": "AAoBCDDoBCEEEoCFGGooFoooo", "size": 5, "moves": 3, "solution": ["Bv1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAoBCDDoBCEEEoCFGGooFoooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>3\n"]}} {"board": "ooAABoCCoBDDDoEoFFFEoGGoo", "size": 5, "moves": 3, "solution": ["Ev1", "Bv1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooAABoCCoBDDDoEoFFFEoGGoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,Bv1,A>1\n"]}} {"board": "BAACoBDDCoBooEooFGEooFGoo", "size": 5, "moves": 3, "solution": ["Ev1", "Cv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BAACoBDDCoBooEooFGEooFGoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,Cv1,A>2\n"]}} {"board": "AAoBoCDDBoCoEFGooEFGoooHH", "size": 5, "moves": 4, "solution": ["H<2", "Fv1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAoBoCDDBoCoEFGooEFGoooHH\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nH<2,Fv1,Bv1,A>3\n"]}} {"board": "oAABCDDEBCFFEoooooGooooGo", "size": 5, "moves": 3, "solution": ["Bv1", "Bv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAABCDDEBCFFEoooooGooooGo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>2\n"]}} {"board": "BAACDBoECDooECooFFoooGGGo", "size": 5, "moves": 3, "solution": ["Cv1", "Cv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BAACDBoECDooECooFFoooGGGo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Cv1,A>2\n"]}} {"board": "oBoooCBoDECAADEFooGGFoHHo", "size": 5, "moves": 3, "solution": ["D^1", "E^1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oBoooCBoDECAADEFooGGFoHHo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E^1,A>2\n"]}} {"board": "AABCooDBCEoDooEFFGHHIIGJJ", "size": 5, "moves": 3, "solution": ["Bv1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AABCooDBCEoDooEFFGHHIIGJJ\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>3\n"]}} {"board": "oAABCDDDBCoEFoGHEFIGHoFIo", "size": 5, "moves": 4, "solution": ["Bv1", "Gv1", "Bv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAABCDDDBCoEFoGHEFIGHoFIo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Gv1,Bv1,A>2\n"]}} {"board": "oooBCDooBCDEFooDEFoGAAFoG", "size": 5, "moves": 3, "solution": ["F^1", "G^1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oooBCDooBCDEFooDEFoGAAFoG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,G^1,A>3\n"]}} {"board": "BooCoBDoCoEDFFFEoAAGEoooG", "size": 5, "moves": 4, "solution": ["D^1", "F<1", "G^2", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BooCoBDoCoEDFFFEoAAGEoooG\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,F<1,G^2,A>1\n"]}} {"board": "BoCCCBoDDDoEooFoEAAFoEGGo", "size": 5, "moves": 3, "solution": ["D<1", "F^1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BoCCCBoDDDoEooFoEAAFoEGGo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,F^1,A>1\n"]}} {"board": "AABooCDBoECDFGEHDFGIHooGI", "size": 5, "moves": 3, "solution": ["Fv1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AABooCDBoECDFGEHDFGIHooGI\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nFv1,Bv1,A>3\n"]}} {"board": "AABooooBCCDDEEooFFGGoHHII", "size": 5, "moves": 3, "solution": ["E>1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AABooooBCCDDEEooFFGGoHHII\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE>1,Bv1,A>3\n"]}} {"board": "oAABooCCBDoEFFDoEGooooGHH", "size": 5, "moves": 4, "solution": ["Ev1", "E<1", "Bv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAABooCCBDoEFFDoEGooooGHH\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,E<1,Bv1,A>2\n"]}} {"board": "AABooooBoooCCoDoEoFDoEoFD", "size": 5, "moves": 3, "solution": ["C<1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AABooooBoooCCoDoEoFDoEoFD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,Bv1,A>3\n"]}} {"board": "AABoCDDBECoooEoFFGEoHHGII", "size": 5, "moves": 3, "solution": ["Bv1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AABoCDDBECoooEoFFGEoHHGII\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>3\n"]}} {"board": "AAooBCoDDBCEEoFGGHHFIIJJo", "size": 5, "moves": 3, "solution": ["Fv1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAooBCoDDBCEEoFGGHHFIIJJo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nFv1,Bv1,A>3\n"]}} {"board": "AAoBCooDBCEEDBFGGooFHHHoo", "size": 5, "moves": 4, "solution": ["Bv1", "Fv1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAoBCooDBCEEDBFGGooFHHHoo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Fv1,Bv1,A>3\n"]}} {"board": "BoAACBDEECoDFFGHHHIGJJoIo", "size": 5, "moves": 3, "solution": ["Gv1", "Cv1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BoAACBDEECoDFFGHHHIGJJoIo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nGv1,Cv1,A>1\n"]}} {"board": "oBCCCDBooEDoAAEFooGGFoooo", "size": 5, "moves": 3, "solution": ["G<1", "Ev2", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oBCCCDBooEDoAAEFooGGFoooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,Ev2,A>1\n"]}} {"board": "ooBBBoCCCoDoAAEDoFFEDGGHH", "size": 5, "moves": 3, "solution": ["B<1", "E^2", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooBBBoCCCoDoAAEDoFFEDGGHH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,E^2,A>1\n"]}} {"board": "ooAABoCDEBoCDEFoCooFGGHHo", "size": 5, "moves": 3, "solution": ["Fv1", "Bv1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooAABoCDEBoCDEFoCooFGGHHo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nFv1,Bv1,A>1\n"]}} {"board": "BAACDBooCDEEEFDoGGFoooooo", "size": 5, "moves": 4, "solution": ["Dv1", "Fv1", "Cv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BAACDBooCDEEEFDoGGFoooooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,Fv1,Cv1,A>2\n"]}} {"board": "ooooooooBCAADBCooDooEEFFo", "size": 5, "moves": 4, "solution": ["B^1", "C^1", "D^2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooooooooBCAADBCooDooEEFFo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,C^1,D^2,A>3\n"]}} {"board": "oAABCooDBCEFDBoEFooGoHHHG", "size": 5, "moves": 3, "solution": ["Bv1", "Bv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAABCooDBCEFDBoEFooGoHHHG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>2\n"]}} {"board": "oooooBoCDEBFCDEBFCoGoAAoG", "size": 5, "moves": 3, "solution": ["E^1", "G^1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oooooBoCDEBFCDEBFCoGoAAoG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,G^1,A>2\n"]}} {"board": "oAAoBCDDDBCoEEEFFGGGoHHII", "size": 5, "moves": 3, "solution": ["E<1", "Bv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAAoBCDDDBCoEEEFFGGGoHHII\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv1,A>2\n"]}} {"board": "BCAADBCEEDBooFFGGoHHoIIoo", "size": 5, "moves": 3, "solution": ["F<1", "Dv1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BCAADBCEEDBooFFGGoHHoIIoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Dv1,A>1\n"]}} {"board": "BCAADBCoEDBCoEDoFFGGHHooo", "size": 5, "moves": 4, "solution": ["F<1", "G<1", "Dv1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BCAADBCoEDBCoEDoFFGGHHooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,G<1,Dv1,A>1\n"]}} {"board": "BBBooCAADoCooDoCoEEFooGGF", "size": 5, "moves": 3, "solution": ["E<1", "Dv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BBBooCAADoCooDoCoEEFooGGF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Dv1,A>2\n"]}} {"board": "AABooooBCoDEFCoDEFCoGGooo", "size": 5, "moves": 3, "solution": ["Fv1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AABooooBCoDEFCoDEFCoGGooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nFv1,Bv1,A>3\n"]}} {"board": "oAAoBCCDDBEoFFFEooooEoGGG", "size": 5, "moves": 3, "solution": ["F<1", "Bv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAAoBCCDDBEoFFFEooooEoGGG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Bv1,A>2\n"]}} {"board": "oAABooCCBDEFoGDEFHGDEoHoo", "size": 5, "moves": 3, "solution": ["Gv1", "Bv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAABooCCBDEFoGDEFHGDEoHoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nGv1,Bv1,A>2\n"]}} {"board": "oAABCDDDBCEEEoFoGGGFooooo", "size": 5, "moves": 4, "solution": ["Bv1", "Fv1", "Bv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAABCDDDBCEEEoFoGGGFooooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Fv1,Bv1,A>2\n"]}} {"board": "BBBooCoDEFCoDEFCGGGHAAooH", "size": 5, "moves": 3, "solution": ["F^1", "H^1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BBBooCoDEFCoDEFCGGGHAAooH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,H^1,A>3\n"]}} {"board": "ooAABoCCoBDDEEFoooGFoooGo", "size": 5, "moves": 3, "solution": ["Fv1", "Bv1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooAABoCCoBDDEEFoooGFoooGo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nFv1,Bv1,A>1\n"]}} {"board": "ooAABCDDDBCoEEEooFGoooFGo", "size": 5, "moves": 3, "solution": ["E<1", "Bv1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooAABCDDDBCoEEEooFGoooFGo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv1,A>1\n"]}} {"board": "oooBCoooBCDEFoGDEFHGAAFHo", "size": 5, "moves": 3, "solution": ["F^1", "H^1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oooBCoooBCDEFoGDEFHGAAFHo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,H^1,A>3\n"]}} {"board": "BoAACBooDCEFoDCEFGGGoooHH", "size": 5, "moves": 4, "solution": ["F^1", "G<1", "Cv1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BoAACBooDCEFoDCEFGGGoooHH\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,G<1,Cv1,A>1\n"]}} {"board": "BCDDDBCoooooAAEFFooEGGHHH", "size": 5, "moves": 4, "solution": ["Cv1", "C<1", "E^2", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BCDDDBCoooooAAEFFooEGGHHH\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,C<1,E^2,A>1\n"]}} {"board": "oAABCDDDBCEEFooooFoooGGHH", "size": 5, "moves": 3, "solution": ["Bv1", "Bv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAABCDDDBCEEFooooFoooGGHH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>2\n"]}} {"board": "AABoCooBoCoDBoCEDoFoEDoFo", "size": 5, "moves": 3, "solution": ["Bv1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AABoCooBoCoDBoCEDoFoEDoFo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>3\n"]}} {"board": "oBBBCoAAoCoDDECFFoEoooGGG", "size": 5, "moves": 3, "solution": ["G<1", "Cv2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oBBBCoAAoCoDDECFFoEoooGGG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,Cv2,A>2\n"]}} {"board": "BBBooooAACoDDDCooooCoEEFF", "size": 5, "moves": 4, "solution": ["E<1", "F<1", "Cv1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BBBooooAACoDDDCooooCoEEFF\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,F<1,Cv1,A>1\n"]}} {"board": "ooooBoCAABDCEFFDCEGoHHoGo", "size": 5, "moves": 4, "solution": ["Ev1", "E<1", "Bv2", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooooBoCAABDCEFFDCEGoHHoGo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,E<1,Bv2,A>1\n"]}} {"board": "BoooCBoAACBoooCDEoooDEoFF", "size": 5, "moves": 3, "solution": ["F<1", "Cv2", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BoooCBoAACBoooCDEoooDEoFF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Cv2,A>1\n"]}} {"board": "oooooooBBBCCCDEoAADEFFFoo", "size": 5, "moves": 4, "solution": ["B<2", "D^1", "E^1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oooooooBBBCCCDEoAADEFFFoo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,D^1,E^1,A>2\n"]}} {"board": "AABooCCBDEoFFDEGGGoEooHHo", "size": 5, "moves": 3, "solution": ["F<1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AABooCCBDEoFFDEGGGoEooHHo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Bv1,A>3\n"]}} {"board": "BAAoCBDDDCoooEEFFoooGGoHH", "size": 5, "moves": 3, "solution": ["E<1", "Cv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BAAoCBDDDCoooEEFFoooGGoHH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Cv1,A>2\n"]}} {"board": "AAoBCooDBCEEDooFFDGGoooHH", "size": 5, "moves": 3, "solution": ["Bv1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAoBCooDBCEEDooFFDGGoooHH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>3\n"]}} {"board": "BBBoCAAooCDDEEoFoGGGFoHHo", "size": 5, "moves": 3, "solution": ["G<1", "Cv2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BBBoCAAooCDDEEoFoGGGFoHHo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,Cv2,A>3\n"]}} {"board": "oooBCoAABCoooBoDooEEDFFoo", "size": 5, "moves": 4, "solution": ["E<2", "Bv2", "Bv2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oooBCoAABCoooBoDooEEDFFoo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<2,Bv2,Bv2,A>2\n"]}} {"board": "BCAADBCoEDFFFEGoHHEGIIooo", "size": 5, "moves": 3, "solution": ["Gv1", "Dv1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BCAADBCoEDFFFEGoHHEGIIooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nGv1,Dv1,A>1\n"]}} {"board": "AABooooBCCDEBFFDEGGooHHII", "size": 5, "moves": 3, "solution": ["G>1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AABooooBCCDEBFFDEGGooHHII\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nG>1,Bv1,A>3\n"]}} {"board": "oooooAABCoooBCDEEBCDFFooD", "size": 5, "moves": 3, "solution": ["Bv1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oooooAABCoooBCDEEBCDFFooD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>3\n"]}} {"board": "oAAoBooCCBDooEEDoFFoGGHHH", "size": 5, "moves": 3, "solution": ["E<1", "Bv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAAoBooCCBDooEEDoFFoGGHHH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv1,A>2\n"]}} {"board": "AABCoDoBCoDooooDooEEoFFoo", "size": 5, "moves": 3, "solution": ["Bv1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AABCoDoBCoDooooDooEEoFFoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>3\n"]}} {"board": "oBBBooooCoDDDCooAACEoFFFE", "size": 5, "moves": 4, "solution": ["B<1", "C^1", "E^2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oBBBooooCoDDDCooAACEoFFFE\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,C^1,E^2,A>2\n"]}} {"board": "oAAoBoCooBDCoEEDooFFDGGHH", "size": 5, "moves": 3, "solution": ["E<1", "Bv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAAoBoCooBDCoEEDooFFDGGHH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv1,A>2\n"]}} {"board": "ooBBBooCCCDooooDoEFGAAEFG", "size": 5, "moves": 4, "solution": ["E^1", "F^1", "G^1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooBBBooCCCDooooDoEFGAAEFG\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,F^1,G^1,A>3\n"]}} {"board": "oAABCooDBCEFDBoEFDoooFooo", "size": 5, "moves": 3, "solution": ["Bv1", "Bv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAABCooDBCEFDBoEFDoooFooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>2\n"]}} {"board": "AAoBCDDoBCEEooCFooGGFoHHH", "size": 5, "moves": 4, "solution": ["Bv1", "G<1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAoBCDDoBCEEooCFooGGFoHHH\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,G<1,Bv1,A>3\n"]}} {"board": "ooooBAAooBoCDDBoCooooooEE", "size": 5, "moves": 3, "solution": ["E<1", "Bv2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooooBAAooBoCDDBoCooooooEE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv2,A>3\n"]}} {"board": "AAoBCoDDBCEEFooooFoGoHHHG", "size": 5, "moves": 3, "solution": ["Bv1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAoBCoDDBCEEFooooFoGoHHHG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>3\n"]}} {"board": "BAAoCBDooCBDoEEooFGoooFGo", "size": 5, "moves": 3, "solution": ["E<1", "Cv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BAAoCBDooCBDoEEooFGoooFGo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Cv1,A>2\n"]}} {"board": "oBBBoCAADECFGDECFGooHHHoo", "size": 5, "moves": 3, "solution": ["Dv1", "Dv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oBBBoCAADECFGDECFGooHHHoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,Dv1,A>2\n"]}} {"board": "oooBoAACBoDoCBEDFCoEDFooo", "size": 5, "moves": 3, "solution": ["Bv2", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oooBoAACBoDoCBEDFCoEDFooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,Bv1,A>3\n"]}} {"board": "oBBBoCDDDoCEooFoEoGFoAAGF", "size": 5, "moves": 3, "solution": ["F^1", "G^1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oBBBoCDDDoCEooFoEoGFoAAGF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,G^1,A>2\n"]}} {"board": "ooAABooCoBDECoFDEGGFHHHoo", "size": 5, "moves": 3, "solution": ["Fv1", "Bv1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooAABooCoBDECoFDEGGFHHHoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nFv1,Bv1,A>1\n"]}} {"board": "AAooBCDEEBCDoFGCDoFGHHooo", "size": 5, "moves": 3, "solution": ["Gv1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAooBCDEEBCDoFGCDoFGHHooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nGv1,Bv1,A>3\n"]}} {"board": "oAABCoooBCDEEooDooFGDHHFG", "size": 5, "moves": 3, "solution": ["Bv1", "Bv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAABCoooBCDEEooDooFGDHHFG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>2\n"]}} {"board": "ooAABCoooBCoDoEooDFEoGGFo", "size": 5, "moves": 3, "solution": ["Ev1", "Bv1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooAABCoooBCoDoEooDFEoGGFo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,Bv1,A>1\n"]}} {"board": "BoCoDBoCoDoEooooEoFGAAoFG", "size": 5, "moves": 3, "solution": ["F^1", "G^1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BoCoDBoCoDoEooooEoFGAAoFG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,G^1,A>3\n"]}} {"board": "AABooCCBDDoEEFooGGFHooIIH", "size": 5, "moves": 3, "solution": ["E<1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AABooCCBDDoEEFooGGFHooIIH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv1,A>3\n"]}} {"board": "oBoCooBDCEAADoEFFFGGHHHoo", "size": 5, "moves": 3, "solution": ["D^1", "E^1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oBoCooBDCEAADoEFFFGGHHHoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E^1,A>3\n"]}} {"board": "oAABCoDDBCoEEBCFoGGoFoHHo", "size": 5, "moves": 4, "solution": ["Cv1", "G<1", "Bv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAABCoDDBCoEEBCFoGGoFoHHo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,G<1,Bv1,A>2\n"]}} {"board": "ooAABooooBCCoDDoEoFFoEGGG", "size": 5, "moves": 3, "solution": ["D<1", "Bv1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooAABooooBCCoDDoEoFFoEGGG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv1,A>1\n"]}} {"board": "BoooCBoAACoDoEEFDoooFDooo", "size": 5, "moves": 3, "solution": ["E<1", "Cv2", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BoooCBoAACoDoEEFDoooFDooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Cv2,A>1\n"]}} {"board": "AABCoooBCDooEEDFFGGHooIIH", "size": 5, "moves": 4, "solution": ["E<2", "Bv1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AABCoooBCDooEEDFFGGHooIIH\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<2,Bv1,Bv1,A>3\n"]}} {"board": "oAAoBooCCBDDEFGHHEFGoooII", "size": 5, "moves": 4, "solution": ["I<1", "Gv1", "Bv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAAoBooCCBDDEFGHHEFGoooII\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nI<1,Gv1,Bv1,A>2\n"]}} {"board": "ooAABCoDDBCEFGHCEFGHIIoGo", "size": 5, "moves": 3, "solution": ["Hv1", "Bv1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooAABCoDDBCEFGHCEFGHIIoGo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nHv1,Bv1,A>1\n"]}} {"board": "oooBooAABooooBoCoDDDCEEoo", "size": 5, "moves": 4, "solution": ["C^2", "D<2", "Bv2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oooBooAABooooBoCoDDDCEEoo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,D<2,Bv2,A>2\n"]}} {"board": "ooooBooCDBEFCDGEFoHGAAoHo", "size": 5, "moves": 3, "solution": ["D^1", "H^1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooooBooCDBEFCDGEFoHGAAoHo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,H^1,A>3\n"]}} {"board": "AAoBCDEEBCDFFBooGGooHHooo", "size": 5, "moves": 3, "solution": ["Bv1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAoBCDEEBCDFFBooGGooHHooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>3\n"]}} {"board": "oAAoBCCDoBEEDoBoFoGGoFHHH", "size": 5, "moves": 3, "solution": ["G<1", "Bv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAAoBCCDoBEEDoBoFoGGoFHHH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,Bv1,A>2\n"]}} {"board": "AABooCDBEECDFFoGGoooHHIIo", "size": 5, "moves": 3, "solution": ["F>1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AABooCDBEECDFFoGGoooHHIIo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF>1,Bv1,A>3\n"]}} {"board": "BCCCDBooEDoooEDAAoEooFFoo", "size": 5, "moves": 4, "solution": ["Bv1", "B<1", "E^1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BCCCDBooEDoooEDAAoEooFFoo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,B<1,E^1,A>3\n"]}} {"board": "ooooBAAooBoooCCDooEEDFFoo", "size": 5, "moves": 4, "solution": ["C<1", "E<1", "Bv2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooooBAAooBoooCCDooEEDFFoo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,E<1,Bv2,A>3\n"]}} {"board": "oBBBoAACDoEECDoooCDFooooF", "size": 5, "moves": 3, "solution": ["Cv1", "Cv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oBBBoAACDoEECDoooCDFooooF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Cv1,A>3\n"]}} {"board": "oAABCDDDBCEEEBooooFFGGooo", "size": 5, "moves": 4, "solution": ["Cv1", "F<2", "Bv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAABCDDDBCEEEBooooFFGGooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,F<2,Bv1,A>2\n"]}} {"board": "BoCooBoCDoBooDoAAoDEFFGGE", "size": 5, "moves": 3, "solution": ["D^1", "E^2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BoCooBoCDoBooDoAAoDEFFGGE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E^2,A>3\n"]}} {"board": "BooCoBAACoDooEEDoFFoDooGG", "size": 5, "moves": 4, "solution": ["E<2", "F<1", "Cv2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BooCoBAACoDooEEDoFFoDooGG\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<2,F<1,Cv2,A>2\n"]}} {"board": "BBBCoDAACoDooCoEEooFooGGF", "size": 5, "moves": 3, "solution": ["G<1", "Cv2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BBBCoDAACoDooCoEEooFooGGF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,Cv2,A>2\n"]}} {"board": "AAoBooCCBDooEEDFFFooGGoHH", "size": 5, "moves": 3, "solution": ["E<1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAoBooCCBDooEEDFFFooGGoHH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv1,A>3\n"]}} {"board": "AAoBoCDDBECFFBEoooGGHHooo", "size": 5, "moves": 3, "solution": ["G<2", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAoBoCDDBECFFBEoooGGHHooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<2,Bv1,A>3\n"]}} {"board": "AAooBCCooBoDDEEFGHHoFGooo", "size": 5, "moves": 4, "solution": ["D<1", "E<1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAooBCCooBoDDEEFGHHoFGooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,E<1,Bv1,A>3\n"]}} {"board": "AAoBoCDDBoCoEEooFFooGGHHH", "size": 5, "moves": 3, "solution": ["E<1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAoBoCDDBoCoEEooFFooGGHHH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv1,A>3\n"]}} {"board": "AAoBCoDDBCEEooCoooooooFFo", "size": 5, "moves": 3, "solution": ["Bv1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAoBCoDDBCEEooCoooooooFFo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>3\n"]}} {"board": "BBBoooAACoDDDCooEEEoFFooo", "size": 5, "moves": 3, "solution": ["E<1", "Cv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BBBoooAACoDDDCooEEEoFFooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Cv1,A>2\n"]}} {"board": "ooBBBoCCCDEoooDEFAADEFooo", "size": 5, "moves": 3, "solution": ["B<1", "D^1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooBBBoCCCDEoooDEFAADEFooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,D^1,A>1\n"]}} {"board": "ooAABoooCBDEECFDoooFDGGGo", "size": 5, "moves": 3, "solution": ["Fv1", "Bv1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooAABoooCBDEECFDoooFDGGGo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nFv1,Bv1,A>1\n"]}} {"board": "ooAABCCDDBEEEoFGGGHFoIIHo", "size": 5, "moves": 3, "solution": ["Fv1", "Bv1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooAABCCDDBEEEoFGGGHFoIIHo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nFv1,Bv1,A>1\n"]}} {"board": "BooooBAACoBDDCEFFoCEoGGGE", "size": 5, "moves": 3, "solution": ["G<1", "Cv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BooooBAACoBDDCEFFoCEoGGGE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,Cv1,A>2\n"]}} {"board": "AABooCCBDDooEEFGGHHFIIJJo", "size": 5, "moves": 3, "solution": ["E<2", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AABooCCBDDooEEFGGHHFIIJJo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<2,Bv1,A>3\n"]}} {"board": "oBCoooBCDEoAADEFFFoGoHHoG", "size": 5, "moves": 3, "solution": ["D^1", "E^1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oBCoooBCDEoAADEFFFoGoHHoG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E^1,A>2\n"]}} {"board": "BAACoBooCooooDDEEEFoGGoFo", "size": 5, "moves": 3, "solution": ["D<2", "Cv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BAACoBooCooooDDEEEFoGGoFo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<2,Cv1,A>2\n"]}} {"board": "BooCoBAACDBEooDoEooDooFFF", "size": 5, "moves": 4, "solution": ["Cv2", "F<1", "Cv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BooCoBAACDBEooDoEooDooFFF\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,F<1,Cv1,A>2\n"]}} {"board": "oBBBooCoDEFCGDEFHGDIoHAAI", "size": 5, "moves": 3, "solution": ["E^1", "I^1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oBBBooCoDEFCGDEFHGDIoHAAI\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,I^1,A>1\n"]}} {"board": "oBBBoAAoCDoEECDoFFFooGGHH", "size": 5, "moves": 4, "solution": ["Dv1", "F<1", "Cv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oBBBoAAoCDoEECDoFFFooGGHH\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,F<1,Cv1,A>3\n"]}} {"board": "ooAABCooDBCEEDFooooFoGGGo", "size": 5, "moves": 3, "solution": ["Fv1", "Bv1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooAABCooDBCEEDFooooFoGGGo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nFv1,Bv1,A>1\n"]}} {"board": "oAABoooCBDEFCGDEFHGIEFHoI", "size": 5, "moves": 3, "solution": ["Gv1", "Bv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAABoooCBDEFCGDEFHGIEFHoI\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nGv1,Bv1,A>2\n"]}} {"board": "oAABCDooBCDEoooFEoooFoooo", "size": 5, "moves": 3, "solution": ["Bv1", "Bv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAABCDooBCDEoooFEoooFoooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>2\n"]}} {"board": "AAooBoCCCBoDDEFGHHEFGoooo", "size": 5, "moves": 3, "solution": ["Fv1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAooBoCCCBoDDEFGHHEFGoooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nFv1,Bv1,A>3\n"]}} {"board": "oAABooooBooCCCoDDDEEoFFFo", "size": 5, "moves": 3, "solution": ["C<1", "Bv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAABooooBooCCCoDDDEEoFFFo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,Bv1,A>2\n"]}} {"board": "BCDooBCDooEAAFGEHHFGooIII", "size": 5, "moves": 3, "solution": ["F^2", "G^2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BCDooBCDooEAAFGEHHFGooIII\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^2,G^2,A>2\n"]}} {"board": "oBBBoAAooCDDEECFooGGFHHII", "size": 5, "moves": 3, "solution": ["G<1", "Cv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oBBBoAAooCDDEECFooGGFHHII\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,Cv1,A>3\n"]}} {"board": "BBBCoDAACEDFoCEDFooEooGGo", "size": 5, "moves": 4, "solution": ["Ev1", "G<1", "Cv2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BBBCoDAACEDFoCEDFooEooGGo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,G<1,Cv2,A>2\n"]}} {"board": "AAoBCoDEBCFDEBoFooGGooooo", "size": 5, "moves": 4, "solution": ["Cv1", "G<2", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAoBCoDEBCFDEBoFooGGooooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,G<2,Bv1,A>3\n"]}} {"board": "BAACoBooCooDDCooooEEoFFGG", "size": 5, "moves": 3, "solution": ["E<2", "Cv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BAACoBooCooDDCooooEEoFFGG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<2,Cv1,A>2\n"]}} {"board": "BAAoCBDEECoDFoGHDFoGHIIIo", "size": 5, "moves": 3, "solution": ["Gv1", "Cv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BAAoCBDEECoDFoGHDFoGHIIIo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nGv1,Cv1,A>2\n"]}} {"board": "AABoCoDBECFDoEoFGoHoFGoHo", "size": 5, "moves": 3, "solution": ["Bv1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AABoCoDBECFDoEoFGoHoFGoHo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>3\n"]}} {"board": "BooCDBooCDoAAoEFGooEFGoHH", "size": 5, "moves": 3, "solution": ["H<1", "Ev1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BooCDBooCDoAAoEFGooEFGoHH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nH<1,Ev1,A>2\n"]}} {"board": "BooCoBAACooDDDEFoooEFGGHH", "size": 5, "moves": 3, "solution": ["D<1", "Cv2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BooCoBAACooDDDEFoooEFGGHH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Cv2,A>2\n"]}} {"board": "AAooBCCDDBEooFFEGGGooHHHo", "size": 5, "moves": 3, "solution": ["F<1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAooBCCDDBEooFFEGGGooHHHo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Bv1,A>3\n"]}} {"board": "AABooooBoCoDDECFGGEoFHHEo", "size": 5, "moves": 3, "solution": ["D<1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AABooooBoCoDDECFGGEoFHHEo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv1,A>3\n"]}} {"board": "BBBooCoAADCEooDoEoFFoGGGo", "size": 5, "moves": 3, "solution": ["F<1", "Dv1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BBBooCoAADCEooDoEoFFoGGGo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Dv1,A>1\n"]}} {"board": "BoAACBDDDCEEoFFGGGoooooHH", "size": 5, "moves": 3, "solution": ["F<1", "Cv1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BoAACBDDDCEEoFFGGGoooooHH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Cv1,A>1\n"]}} {"board": "AAooBCDooBCDEoBooEFFoooGG", "size": 5, "moves": 4, "solution": ["E^1", "F<1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAooBCDooBCDEoBooEFFoooGG\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,F<1,Bv1,A>3\n"]}} {"board": "BoAACBDEFCBDEFCGooHHGIIJJ", "size": 5, "moves": 3, "solution": ["H<1", "Cv1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BoAACBDEFCBDEFCGooHHGIIJJ\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nH<1,Cv1,A>1\n"]}} {"board": "AAoBCDDEBCooEoFGooHFGIIHo", "size": 5, "moves": 4, "solution": ["Bv1", "Fv1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAoBCDDEBCooEoFGooHFGIIHo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Fv1,Bv1,A>3\n"]}} {"board": "BCCCDBoAADoEEFFGGooooHHoo", "size": 5, "moves": 4, "solution": ["E<1", "F<1", "Dv2", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BCCCDBoAADoEEFFGGooooHHoo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,F<1,Dv2,A>1\n"]}} {"board": "BCDDDBCEooFCEGHFAAGHFooII", "size": 5, "moves": 3, "solution": ["G^1", "H^1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BCDDDBCEooFCEGHFAAGHFooII\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nG^1,H^1,A>2\n"]}} {"board": "oooooAAoBooooBCDoEECDoFFC", "size": 5, "moves": 3, "solution": ["E<1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oooooAAoBooooBCDoEECDoFFC\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv1,A>3\n"]}} {"board": "oAAoBCCoDBEFFDBEoGGGooooo", "size": 5, "moves": 3, "solution": ["G<1", "Bv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAAoBCCoDBEFFDBEoGGGooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,Bv1,A>2\n"]}} {"board": "BooooBAACDEFGCDEFGCoooHHH", "size": 5, "moves": 4, "solution": ["Dv1", "H<2", "Cv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BooooBAACDEFGCDEFGCoooHHH\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,H<2,Cv1,A>2\n"]}} {"board": "AAooBCDEEBCDooBCoFFFooGGG", "size": 5, "moves": 3, "solution": ["F<1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAooBCDEEBCDooBCoFFFooGGG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Bv1,A>3\n"]}} {"board": "oAABoCooBoCDDBoEooFFEoGGo", "size": 5, "moves": 3, "solution": ["F<2", "Bv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAABoCooBoCDDBoEooFFEoGGo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<2,Bv1,A>2\n"]}} {"board": "oAAoBoCCoBoDDoEFFFoEGGooo", "size": 5, "moves": 3, "solution": ["Ev1", "Bv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAAoBoCCoBoDDoEFFFoEGGooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,Bv1,A>2\n"]}} {"board": "oBBBCooAACooDDCEEEooooFFF", "size": 5, "moves": 3, "solution": ["F<1", "Cv2", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oBBBCooAACooDDCEEEooooFFF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Cv2,A>1\n"]}} {"board": "BAAoCBDDDCEEEFGHHHFGooIIo", "size": 5, "moves": 3, "solution": ["Gv1", "Cv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BAAoCBDDDCEEEFGHHHFGooIIo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nGv1,Cv1,A>2\n"]}} {"board": "BAAoCBoDDCEEoFGHHoFGoIIoo", "size": 5, "moves": 3, "solution": ["Gv1", "Cv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BAAoCBoDDCEEoFGHHoFGoIIoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nGv1,Cv1,A>2\n"]}} {"board": "AABCooDBCEFDBCEFoooGooHHG", "size": 5, "moves": 3, "solution": ["Bv1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AABCooDBCEFDBCEFoooGooHHG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>3\n"]}} {"board": "AABooooBCCDDEEFGHIJFGHIJo", "size": 5, "moves": 4, "solution": ["Fv1", "E>1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AABooooBCCDDEEFGHIJFGHIJo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nFv1,E>1,Bv1,A>3\n"]}} {"board": "ooBBBoCCCDoEFGDoEFGooAAGo", "size": 5, "moves": 3, "solution": ["C<1", "G^1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooBBBoCCCDoEFGDoEFGooAAGo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,G^1,A>2\n"]}} {"board": "BoAACBooDCEEEDFGGooFooHHH", "size": 5, "moves": 4, "solution": ["H<1", "Fv1", "Cv1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BoAACBooDCEEEDFGGooFooHHH\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nH<1,Fv1,Cv1,A>1\n"]}} {"board": "oAABoCCCBoDEEFoDGHFoDGHoo", "size": 5, "moves": 3, "solution": ["Fv1", "Bv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAABoCCCBoDEEFoDGHFoDGHoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nFv1,Bv1,A>2\n"]}} {"board": "BoCCCBAADEoFGDEoFGoEoFGoo", "size": 5, "moves": 3, "solution": ["Dv1", "Dv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BoCCCBAADEoFGDEoFGoEoFGoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,Dv1,A>2\n"]}} {"board": "oAAoBoCDDBoCooEoFFoEGGGoo", "size": 5, "moves": 3, "solution": ["Ev1", "Bv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAAoBoCDDBoCooEoFFoEGGGoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,Bv1,A>2\n"]}} {"board": "AAoBooCCBooDoEEFDGHHFoGoo", "size": 5, "moves": 4, "solution": ["Dv1", "D<2", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAoBooCCBooDoEEFDGHHFoGoo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,D<2,Bv1,A>3\n"]}} {"board": "oAABooooBooCCCoDDDoooEEFF", "size": 5, "moves": 3, "solution": ["C<1", "Bv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAABooooBooCCCoDDDoooEEFF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,Bv1,A>2\n"]}} {"board": "oAABooCDBEoCDFEGGDFHooIIH", "size": 5, "moves": 4, "solution": ["I<1", "Fv1", "Bv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAABooCDBEoCDFEGGDFHooIIH\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nI<1,Fv1,Bv1,A>2\n"]}} {"board": "oBBBooAACDoooCDEooCoEooFF", "size": 5, "moves": 4, "solution": ["Dv1", "F<2", "Cv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oBBBooAACDoooCDEooCoEooFF\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,F<2,Cv1,A>2\n"]}} {"board": "oAAoBooooBoooCCDooooDEEoo", "size": 5, "moves": 3, "solution": ["C<1", "Bv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAAoBooooBoooCCDooooDEEoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,Bv1,A>2\n"]}} {"board": "AAooBoCCoBDoEFFDoEGGHHoII", "size": 5, "moves": 4, "solution": ["Ev1", "E<1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAooBoCCoBDoEFFDoEGGHHoII\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,E<1,Bv1,A>3\n"]}} {"board": "BoooCBAAoCBDDoCoEEFFGGHHo", "size": 5, "moves": 4, "solution": ["E<1", "F<1", "Cv2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BoooCBAAoCBDDoCoEEFFGGHHo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,F<1,Cv2,A>2\n"]}} {"board": "BBBCoDDDCoEAAFGEHHFGEoIIo", "size": 5, "moves": 4, "solution": ["G^2", "I<1", "Gv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BBBCoDDDCoEAAFGEHHFGEoIIo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nG^2,I<1,Gv1,A>2\n"]}} {"board": "oAABCDDDBCEooBoEFooGoFHHG", "size": 5, "moves": 3, "solution": ["Bv1", "Bv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAABCDDDBCEooBoEFooGoFHHG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>2\n"]}} {"board": "AABooCDBooCDBooEoFFGEoHHG", "size": 5, "moves": 4, "solution": ["G^2", "G>1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AABooCDBooCDBooEoFFGEoHHG\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nG^2,G>1,Bv1,A>3\n"]}} {"board": "AAoBoCoDBECoDFEGHHFEGoIIo", "size": 5, "moves": 4, "solution": ["I<1", "Fv1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAoBoCoDBECoDFEGHHFEGoIIo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nI<1,Fv1,Bv1,A>3\n"]}} {"board": "BBBCooAACoDooCEDoFFEDoooo", "size": 5, "moves": 3, "solution": ["F<1", "Cv2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BBBCooAACoDooCEDoFFEDoooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Cv2,A>2\n"]}} {"board": "AAooBCCDoBooDoEFoooEFoGGo", "size": 5, "moves": 3, "solution": ["Ev1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAooBCCDoBooDoEFoooEFoGGo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,Bv1,A>3\n"]}} {"board": "ooBooCoBDoCEoDooEFoGAAFoG", "size": 5, "moves": 3, "solution": ["F^1", "G^1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooBooCoBDoCEoDooEFoGAAFoG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,G^1,A>3\n"]}} {"board": "ooooBooCDBAACDEFFFoEGGGoo", "size": 5, "moves": 4, "solution": ["C^1", "D^1", "Ev1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooooBooCDBAACDEFFFoEGGGoo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^1,Ev1,A>3\n"]}} {"board": "oAABCDEoBCDEoBFDEooFGGooo", "size": 5, "moves": 4, "solution": ["Bv1", "Fv1", "Bv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAABCDEoBCDEoBFDEooFGGooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Fv1,Bv1,A>2\n"]}} {"board": "AAoBooooBooooBoooCCCoooDD", "size": 5, "moves": 3, "solution": ["C<2", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAoBooooBooooBoooCCCoooDD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,Bv1,A>3\n"]}} {"board": "BAACoBoDCEFoDGEFoDGEFoooo", "size": 5, "moves": 3, "solution": ["Gv1", "Cv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BAACoBoDCEFoDGEFoDGEFoooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nGv1,Cv1,A>2\n"]}} {"board": "oBAACoBDDCooEEEFFGGHIIooH", "size": 5, "moves": 3, "solution": ["E<1", "Cv1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oBAACoBDDCooEEEFFGGHIIooH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Cv1,A>1\n"]}} {"board": "AAoBoCDDBoCEEEFGHIIFGHooo", "size": 5, "moves": 5, "solution": ["A>1", "C^1", "E<1", "Cv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAoBoCDDBoCEEEFGHIIFGHooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,C^1,E<1,Cv1,A>2\n"]}} {"board": "oAABCDEoBCDEFFooGGGooHHHo", "size": 5, "moves": 7, "solution": ["Cv1", "G>1", "H>1", "Dv2", "E<1", "Bv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAABCDEoBCDEFFooGGGooHHHo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,G>1,H>1,Dv2,E<1,Bv1,A>2\n"]}} {"board": "AABCDEoBCDEFGGoEFoHHooIIo", "size": 5, "moves": 8, "solution": ["Fv1", "F>1", "I>1", "Bv3", "E<2", "Bv1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AABCDEoBCDEFGGoEFoHHooIIo\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nFv1,F>1,I>1,Bv3,E<2,Bv1,Bv1,A>3\n"]}} {"board": "BCCCoBDEFoBDEFooDoGHAAoGH", "size": 5, "moves": 6, "solution": ["Bv1", "B<1", "F^1", "G^1", "H^1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BCCCoBDEFoBDEFooDoGHAAoGH\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,B<1,F^1,G^1,H^1,A>3\n"]}} {"board": "AABCoDDBCoEFGGoEFoHHooIIo", "size": 5, "moves": 6, "solution": ["Ev1", "Ev1", "E<2", "Bv1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AABCoDDBCoEFGGoEFoHHooIIo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,Ev1,E<2,Bv1,Bv1,A>3\n"]}} {"board": "BAACDBoECDBoEFGoHHFGoIIIo", "size": 5, "moves": 6, "solution": ["Gv1", "Dv1", "I<1", "Fv1", "Cv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BAACDBoECDBoEFGoHHFGoIIIo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nGv1,Dv1,I<1,Fv1,Cv1,A>2\n"]}} {"board": "oAAoBoCCoBDEFoBDEFGGooHHH", "size": 5, "moves": 5, "solution": ["C<1", "F^1", "G<1", "Bv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAAoBoCCoBDEFoBDEFGGooHHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,F^1,G<1,Bv1,A>2\n"]}} {"board": "AAooBCDoEBCDoEBCDFFFooGGo", "size": 5, "moves": 5, "solution": ["A>2", "D^1", "F<1", "Cv1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAooBCDoEBCDoEBCDFFFooGGo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,D^1,F<1,Cv1,A>1\n"]}} {"board": "oBAACoBDoCEEDFFooGGoHHIIo", "size": 5, "moves": 6, "solution": ["G<2", "I>1", "Dv2", "E<1", "Cv1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oBAACoBDoCEEDFFooGGoHHIIo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<2,I>1,Dv2,E<1,Cv1,A>1\n"]}} {"board": "ooooBoAAoBCooooCDDEECooFF", "size": 5, "moves": 5, "solution": ["C^2", "D<1", "E<1", "Cv2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooooBoAAoBCooooCDDEECooFF\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,D<1,E<1,Cv2,A>2\n"]}} {"board": "AAoBCoooBCoooBDooEEDoFFFo", "size": 5, "moves": 5, "solution": ["Dv1", "Cv1", "D<1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAoBCoooBCoooBDooEEDoFFFo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,Cv1,D<1,Bv1,A>3\n"]}} {"board": "BoooCBDAACoDEEEoFFGGHHIIo", "size": 5, "moves": 6, "solution": ["D^1", "E<1", "F<1", "G<1", "Dv2", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BoooCBDAACoDEEEoFFGGHHIIo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E<1,F<1,G<1,Dv2,A>1\n"]}} {"board": "ooAABooCCBoDEEFoDooFoGGHH", "size": 5, "moves": 5, "solution": ["G<1", "H<1", "Fv1", "Bv1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooAABooCCBoDEEFoDooFoGGHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,H<1,Fv1,Bv1,A>1\n"]}} {"board": "BBBooAAoCDoooCDoEFCooEFGG", "size": 5, "moves": 6, "solution": ["Dv1", "E^1", "F^1", "G<2", "Cv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BBBooAAoCDoooCDoEFCooEFGG\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,E^1,F^1,G<2,Cv1,A>3\n"]}} {"board": "ooAABoCDEBFCDEBFoDGGHHooo", "size": 5, "moves": 7, "solution": ["A<2", "D^1", "F^1", "G<3", "Bv1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooAABoCDEBFCDEBFoDGGHHooo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<2,D^1,F^1,G<3,Bv1,Bv1,A>3\n"]}} {"board": "AABCoooBCoDooEEDFoGGDFHHo", "size": 5, "moves": 5, "solution": ["H>1", "Bv3", "D<2", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AABCoooBCoDooEEDFoGGDFHHo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nH>1,Bv3,D<2,Bv1,A>3\n"]}} {"board": "oBBBoCoAADCEFFDGEHHHGEooo", "size": 5, "moves": 5, "solution": ["B>1", "E^2", "H<1", "Ev1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oBBBoCoAADCEFFDGEHHHGEooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB>1,E^2,H<1,Ev1,A>1\n"]}} {"board": "oAABCDDDBCEFGGCEFHHoooIIo", "size": 5, "moves": 5, "solution": ["Cv1", "Fv1", "F<1", "Bv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAABCDDDBCEFGGCEFHHoooIIo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Fv1,F<1,Bv1,A>2\n"]}} {"board": "AABCDEEBCDoooFFGGGHHIIoJJ", "size": 5, "moves": 5, "solution": ["F<3", "Bv1", "Bv1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AABCDEEBCDoooFFGGGHHIIoJJ\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<3,Bv1,Bv1,Bv1,A>3\n"]}} {"board": "AABCDooBCDEoBoFEoooFGGHHo", "size": 5, "moves": 5, "solution": ["Bv1", "Bv1", "Fv1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AABCDooBCDEoBoFEoooFGGHHo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,Fv1,Bv1,A>3\n"]}} {"board": "BBBooAAooCooDDCEFFGGEHHII", "size": 5, "moves": 6, "solution": ["A>1", "E^2", "F<1", "G<1", "Dv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BBBooAAooCooDDCEFFGGEHHII\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,E^2,F<1,G<1,Dv1,A>2\n"]}} {"board": "oBCoDoBCoDAAooEFoooEFGGHH", "size": 5, "moves": 6, "solution": ["A>1", "F^1", "G<1", "H<1", "Fv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oBCoDoBCoDAAooEFoooEFGGHH\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,F^1,G<1,H<1,Fv1,A>2\n"]}} {"board": "AABCoooBCDEEFGDHHFGDoIIoo", "size": 5, "moves": 6, "solution": ["Gv1", "Cv1", "I<1", "Fv1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AABCoooBCDEEFGDHHFGDoIIoo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nGv1,Cv1,I<1,Fv1,Bv1,A>3\n"]}} {"board": "ooooBCAADBCEEDBFFooooGGHH", "size": 5, "moves": 5, "solution": ["Dv1", "G<1", "H<1", "Bv2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooooBCAADBCEEDBFFooooGGHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,G<1,H<1,Bv2,A>2\n"]}} {"board": "AABCDooBCDoooCDEooFFEooGG", "size": 5, "moves": 5, "solution": ["Bv1", "F<2", "Bv1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AABCDooBCDoooCDEooFFEooGG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,F<2,Bv1,Bv1,A>3\n"]}} {"board": "oooBooCoBoDCEEEDooFooAAFo", "size": 5, "moves": 5, "solution": ["C^1", "D^2", "E<2", "F^1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oooBooCoBoDCEEEDooFooAAFo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^2,E<2,F^1,A>2\n"]}} {"board": "AABCDooBCDEooFFEoGGooHHII", "size": 5, "moves": 6, "solution": ["Ev1", "E<3", "Bv1", "Bv1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AABCDooBCDEooFFEoGGooHHII\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,E<3,Bv1,Bv1,Bv1,A>3\n"]}} {"board": "AAoBCDDoBCEFooGEFHoGooHII", "size": 5, "moves": 6, "solution": ["Bv1", "H^1", "I<1", "Hv1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAoBCDDoBCEFooGEFHoGooHII\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,H^1,I<1,Hv1,Bv1,A>3\n"]}} {"board": "ooAABCCDoBEoDFFEoooooGGHH", "size": 5, "moves": 5, "solution": ["G<1", "Dv2", "E<1", "Bv1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooAABCCDoBEoDFFEoooooGGHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,Dv2,E<1,Bv1,A>1\n"]}} {"board": "AABoCooBoCoDDEEoooFFGGGoo", "size": 5, "moves": 7, "solution": ["D<1", "E<1", "F<1", "Cv3", "D>1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AABoCooBoCoDDEEoooFFGGGoo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,E<1,F<1,Cv3,D>1,Bv1,A>3\n"]}} {"board": "oooBCoAABCDEEECDoooooFFGG", "size": 5, "moves": 7, "solution": ["D^2", "E<1", "Cv2", "F<1", "G<1", "Cv2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oooBCoAABCDEEECDoooooFFGG\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,E<1,Cv2,F<1,G<1,Cv2,A>2\n"]}} {"board": "ooooBCDAABCDEFFGoEooGHHII", "size": 5, "moves": 7, "solution": ["C^1", "G^1", "H<1", "Fv1", "F<1", "Cv2", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooooBCDAABCDEFFGoEooGHHII\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,G^1,H<1,Fv1,F<1,Cv2,A>1\n"]}} {"board": "oAABCoDDBCEEooCooFGGHHFoo", "size": 5, "moves": 6, "solution": ["Bv1", "C<1", "F^2", "G<1", "Bv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAABCoDDBCEEooCooFGGHHFoo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,C<1,F^2,G<1,Bv1,A>2\n"]}} {"board": "AABCooDBCEFDGGEFoHHEoIIoo", "size": 5, "moves": 7, "solution": ["Fv1", "I>1", "Dv2", "E<2", "Bv1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AABCooDBCEFDGGEFoHHEoIIoo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nFv1,I>1,Dv2,E<2,Bv1,Bv1,A>3\n"]}} {"board": "BoooCBAAoCBDEEooDFFFGGHHH", "size": 5, "moves": 5, "solution": ["A>1", "D^1", "F<1", "Cv2", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BoooCBAAoCBDEEooDFFFGGHHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,D^1,F<1,Cv2,A>1\n"]}} {"board": "BooooBAACDBEECDFFooDoGGHH", "size": 5, "moves": 5, "solution": ["Cv1", "G<1", "H<1", "Cv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BooooBAACDBEECDFFooDoGGHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,G<1,H<1,Cv1,A>2\n"]}} {"board": "ooooBAAooBoCooBDCEEEDoooo", "size": 5, "moves": 5, "solution": ["A>2", "C^1", "E<1", "Bv2", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooooBAAooBoCooBDCEEEDoooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,C^1,E<1,Bv2,A>1\n"]}} {"board": "BCCCDBoAADEFFGGEoHHHIIIoo", "size": 5, "moves": 7, "solution": ["H<1", "I>1", "Ev1", "E<1", "F<1", "Dv2", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BCCCDBoAADEFFGGEoHHHIIIoo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nH<1,I>1,Ev1,E<1,F<1,Dv2,A>1\n"]}} {"board": "BBBCoAAoCoooooDEFFFDEoGGD", "size": 5, "moves": 5, "solution": ["A>1", "E^2", "F<1", "Cv2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BBBCoAAoCoooooDEFFFDEoGGD\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,E^2,F<1,Cv2,A>2\n"]}} {"board": "AABooooBCCDEEFGDooFGHHoII", "size": 5, "moves": 5, "solution": ["H>1", "Dv1", "D<1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AABooooBCCDEEFGDooFGHHoII\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nH>1,Dv1,D<1,Bv1,A>3\n"]}} {"board": "BAACDBEoCDBEFFoGHHooGIIIo", "size": 5, "moves": 7, "solution": ["Dv1", "H>1", "I>1", "Dv2", "E<1", "Cv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BAACDBEoCDBEFFoGHHooGIIIo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,H>1,I>1,Dv2,E<1,Cv1,A>2\n"]}} {"board": "oBBBCDEAACDEFFCoooGGoHHII", "size": 5, "moves": 5, "solution": ["G<1", "H<1", "I<1", "Cv2", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oBBBCDEAACDEFFCoooGGoHHII\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,H<1,I<1,Cv2,A>1\n"]}} {"board": "AABCoDDBCooEFFoGEoooGoHHo", "size": 5, "moves": 5, "solution": ["Ev1", "E<2", "Bv1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AABCoDDBCooEFFoGEoooGoHHo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,E<2,Bv1,Bv1,A>3\n"]}} {"board": "ooooBoAAoBCDooBCDEEEoDoFF", "size": 5, "moves": 6, "solution": ["A>1", "D^2", "E<1", "F<1", "Cv2", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooooBoAAoBCDooBCDEEEoDoFF\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,D^2,E<1,F<1,Cv2,A>1\n"]}} {"board": "AAoBCDDDBCEEEoFGGGoFHHoII", "size": 5, "moves": 5, "solution": ["Bv1", "I<1", "Fv1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAoBCDDDBCEEEoFGGGoFHHoII\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,I<1,Fv1,Bv1,A>3\n"]}} {"board": "ooBoCAABDCoEEDoooFFooGGoo", "size": 5, "moves": 6, "solution": ["Cv2", "D<1", "F<2", "Bv2", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooBoCAABDCoEEDoooFFooGGoo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,D<1,F<2,Bv2,Bv1,A>3\n"]}} {"board": "AABoCooBoCDDoEEFoGGoFooHH", "size": 5, "moves": 5, "solution": ["G>1", "Bv3", "D<1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AABoCooBoCDDoEEFoGGoFooHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nG>1,Bv3,D<1,Bv1,A>3\n"]}} {"board": "BoooCBAADCoooDCEooFFEooGG", "size": 5, "moves": 5, "solution": ["F<2", "Dv1", "G<1", "Cv2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BoooCBAADCoooDCEooFFEooGG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<2,Dv1,G<1,Cv2,A>2\n"]}} {"board": "ooBBBooCDEAACDEFFGGooooHH", "size": 5, "moves": 6, "solution": ["B<2", "D^1", "E^1", "G>1", "Ev2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooBBBooCDEAACDEFFGGooooHH\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,D^1,E^1,G>1,Ev2,A>3\n"]}} {"board": "AAoBCoDoBCoDEEoFFoooooGGo", "size": 5, "moves": 6, "solution": ["Cv1", "F>2", "Cv2", "D<1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAoBCoDoBCoDEEoFFoooooGGo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,F>2,Cv2,D<1,Bv1,A>3\n"]}} {"board": "AABCDEoBCDEoFFoGGooooooHH", "size": 5, "moves": 6, "solution": ["F>1", "Bv3", "E<2", "Bv1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AABCDEoBCDEoFFoGGooooooHH\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nF>1,Bv3,E<2,Bv1,Bv1,A>3\n"]}} {"board": "AAooBoCCoBooDEEoFDoGoFHHG", "size": 5, "moves": 6, "solution": ["C<1", "D^2", "E<3", "Bv1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAooBoCCoBooDEEoFDoGoFHHG\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,D^2,E<3,Bv1,Bv1,A>3\n"]}} {"board": "AABooCoBoDCoEEDFFFoDGGoHH", "size": 5, "moves": 6, "solution": ["F>1", "G>1", "Cv2", "D<2", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AABooCoBoDCoEEDFFFoDGGoHH\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nF>1,G>1,Cv2,D<2,Bv1,A>3\n"]}} {"board": "AAoBCDEEBCDoFGGDoFooooHHo", "size": 5, "moves": 6, "solution": ["H<2", "Fv1", "F<2", "Bv1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAoBCDEEBCDoFGGDoFooooHHo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nH<2,Fv1,F<2,Bv1,Bv1,A>3\n"]}} {"board": "AABCDoEBCDoEoCooFFFoGGHHo", "size": 5, "moves": 5, "solution": ["Bv1", "Cv1", "F<1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AABCDoEBCDoEoCooFFFoGGHHo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Cv1,F<1,Bv1,A>3\n"]}} {"board": "oBBBooCAADoCooDoCEEEFFoGG", "size": 5, "moves": 5, "solution": ["B>1", "C^1", "E<1", "Dv1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oBBBooCAADoCooDoCEEEFFoGG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB>1,C^1,E<1,Dv1,A>1\n"]}} {"board": "oAABCDEoBCDEFFCGooHHGIIIo", "size": 5, "moves": 7, "solution": ["H<1", "Cv1", "I>1", "Dv2", "E<1", "Bv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAABCDEoBCDEFFCGooHHGIIIo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nH<1,Cv1,I>1,Dv2,E<1,Bv1,A>2\n"]}} {"board": "oAAoBCDDoBCEooBoEFGGooFHH", "size": 5, "moves": 6, "solution": ["Cv1", "C<1", "F^2", "G<1", "Bv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAAoBCDDoBCEooBoEFGGooFHH\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,C<1,F^2,G<1,Bv1,A>2\n"]}} {"board": "oooBCoAABCooDDCEEooooFFGG", "size": 5, "moves": 6, "solution": ["D<1", "Bv2", "F<1", "G<1", "Bv2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oooBCoAABCooDDCEEooooFFGG\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv2,F<1,G<1,Bv2,A>2\n"]}} {"board": "ooAABCCCoBDEEEBDFFGGDoooo", "size": 5, "moves": 6, "solution": ["C>1", "D^2", "F<1", "G<1", "Cv1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooAABCCCoBDEEEBDFFGGDoooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nC>1,D^2,F<1,G<1,Cv1,A>1\n"]}} {"board": "oAABCDDDBCoEEFGHoIFGHoIoo", "size": 5, "moves": 5, "solution": ["Fv1", "Bv1", "Fv1", "Bv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAABCDDDBCoEEFGHoIFGHoIoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nFv1,Bv1,Fv1,Bv1,A>2\n"]}} {"board": "oooooBCDDDBCoEooooEooAAEo", "size": 5, "moves": 5, "solution": ["Bv1", "Bv1", "B<2", "E^1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oooooBCDDDBCoEooooEooAAEo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,B<2,E^1,A>2\n"]}} {"board": "AAoBoCooBDCoEBDCFEGGoFHHo", "size": 5, "moves": 5, "solution": ["E^1", "F^2", "G<2", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAoBoCooBDCoEBDCFEGGoFHHo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,F^2,G<2,Bv1,A>3\n"]}} {"board": "AABooCCBDoEFFDoEooGGEHHoo", "size": 5, "moves": 5, "solution": ["G<2", "Dv2", "E>2", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AABooCCBDoEFFDoEooGGEHHoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<2,Dv2,E>2,Bv1,A>3\n"]}} {"board": "oAABCDooBCDEEFoGooFoGoHHo", "size": 5, "moves": 5, "solution": ["Cv1", "H<1", "Fv1", "Bv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAABCDooBCDEEFoGooFoGoHHo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,H<1,Fv1,Bv1,A>2\n"]}} {"board": "BAAoCBoDoCBoDEEFFFooooGGG", "size": 5, "moves": 10, "solution": ["F>1", "Bv1", "A<1", "D^1", "E<1", "G<1", "Cv3", "D>1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BAAoCBoDoCBoDEEFFFooooGGG\nOptimal length (moves): 10\nReturn only the and blocks.", "\nShortest path found.\n\n\nF>1,Bv1,A<1,D^1,E<1,G<1,Cv3,D>1,Bv1,A>3\n"]}} {"board": "oBBBooCDDDoCAAEFFGoEooGHH", "size": 5, "moves": 8, "solution": ["B>1", "C^1", "A<2", "G^1", "H<3", "Ev1", "Ev1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oBBBooCDDDoCAAEFFGoEooGHH\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nB>1,C^1,A<2,G^1,H<3,Ev1,Ev1,A>3\n"]}} {"board": "BAACoBooCDBEFFDGEoooGHHoo", "size": 5, "moves": 5, "solution": ["H>1", "Ev1", "E<1", "Cv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BAACoBooCDBEFFDGEoooGHHoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nH>1,Ev1,E<1,Cv1,A>2\n"]}} {"board": "BoCCCBooooBooDEoAADEFFoDo", "size": 5, "moves": 5, "solution": ["Bv1", "B<2", "D^2", "E^1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BoCCCBooooBooDEoAADEFFoDo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,B<2,D^2,E^1,A>2\n"]}} {"board": "oooBooAABoCooBoCDDDEooFFE", "size": 5, "moves": 5, "solution": ["C^1", "D<1", "F<1", "Bv2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oooBooAABoCooBoCDDDEooFFE\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D<1,F<1,Bv2,A>2\n"]}} {"board": "BAACDBoECDBoEFoGGEFoooHHH", "size": 5, "moves": 5, "solution": ["Dv1", "H<2", "Fv1", "Cv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BAACDBoECDBoEFoGGEFoooHHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,H<2,Fv1,Cv1,A>2\n"]}} {"board": "AABCDEEBCDooFFoGGoHHIIJJJ", "size": 5, "moves": 5, "solution": ["Dv1", "F<2", "Bv1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AABCDEEBCDooFFoGGoHHIIJJJ\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,F<2,Bv1,Bv1,A>3\n"]}} {"board": "AABCoDoBCoDEoFoDEoFooEGGG", "size": 5, "moves": 6, "solution": ["Bv1", "E^1", "G<2", "Fv1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AABCoDoBCoDEoFoDEoFooEGGG\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,E^1,G<2,Fv1,Bv1,A>3\n"]}} {"board": "oAABCDDDBCoEoFFoEooGoHHoG", "size": 5, "moves": 6, "solution": ["H>1", "Ev1", "E<2", "Bv1", "Bv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAABCDDDBCoEoFFoEooGoHHoG\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nH>1,Ev1,E<2,Bv1,Bv1,A>2\n"]}} {"board": "oAABCoDoBCEDFGCEDFGoooFHH", "size": 5, "moves": 6, "solution": ["Cv1", "F^1", "H<2", "Gv1", "Bv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAABCoDoBCEDFGCEDFGoooFHH\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,F^1,H<2,Gv1,Bv1,A>2\n"]}} {"board": "AABCDEEBCDFFooGHIoJGHIoJo", "size": 5, "moves": 5, "solution": ["Bv1", "Bv1", "Gv1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AABCDEEBCDFFooGHIoJGHIoJo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,Gv1,Bv1,A>3\n"]}} {"board": "AAoBoCDoBoCDEEoFGGoHFIIIH", "size": 5, "moves": 7, "solution": ["G>1", "H^1", "I>1", "Dv2", "D<1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAoBoCDoBoCDEEoFGGoHFIIIH\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nG>1,H^1,I>1,Dv2,D<1,Bv1,A>3\n"]}} {"board": "oBBBoAAooCDEooCDEFFCDEGGG", "size": 5, "moves": 5, "solution": ["A>2", "E^1", "G<1", "Dv1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oBBBoAAooCDEooCDEFFCDEGGG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,E^1,G<1,Dv1,A>1\n"]}} {"board": "BAAoCBoDDCBEFFFoEGGoHHHoo", "size": 5, "moves": 5, "solution": ["A>1", "E^2", "F<1", "Dv1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BAAoCBoDDCBEFFFoEGGoHHHoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,E^2,F<1,Dv1,A>1\n"]}} {"board": "BAAoCBDDDCEoFFGEHHoGoIIJJ", "size": 5, "moves": 5, "solution": ["I<1", "J<1", "Gv1", "Cv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BAAoCBDDDCEoFFGEHHoGoIIJJ\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nI<1,J<1,Gv1,Cv1,A>2\n"]}} {"board": "BCDDDBCAAEooFFEGHIoEGHIJJ", "size": 5, "moves": 5, "solution": ["F<2", "I^1", "J<1", "Ev1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BCDDDBCAAEooFFEGHIoEGHIJJ\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<2,I^1,J<1,Ev1,A>1\n"]}} {"board": "oooBCDAABCDoEBoFGEooFGHHH", "size": 5, "moves": 7, "solution": ["Cv2", "C^1", "F^1", "G^1", "H<2", "Cv2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oooBCDAABCDoEBoFGEooFGHHH\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,C^1,F^1,G^1,H<2,Cv2,A>2\n"]}} {"board": "BCCCDBEEEDBoFGHooFGHAAoGo", "size": 5, "moves": 5, "solution": ["A>1", "Bv2", "D<1", "G^1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BCCCDBEEEDBoFGHooFGHAAoGo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,Bv2,D<1,G^1,A>2\n"]}} {"board": "oAABCDDoBCEFGGoEFHHIEoooI", "size": 5, "moves": 5, "solution": ["Cv1", "Fv1", "F<1", "Bv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAABCDDoBCEFGGoEFHHIEoooI\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Fv1,F<1,Bv1,A>2\n"]}} {"board": "oAAoBCCCDBoEEDFGHHDFGIIJJ", "size": 5, "moves": 6, "solution": ["G^1", "I<1", "J<1", "Gv1", "Bv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAAoBCCCDBoEEDFGHHDFGIIJJ\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nG^1,I<1,J<1,Gv1,Bv1,A>2\n"]}} {"board": "BCDDDBCoooBoooEoAAFEGGGFE", "size": 5, "moves": 5, "solution": ["Cv1", "C<1", "E^2", "F^2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BCDDDBCoooBoooEoAAFEGGGFE\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,C<1,E^2,F^2,A>2\n"]}} {"board": "AABoCDoBECDooECDFFGGooooo", "size": 5, "moves": 7, "solution": ["Bv1", "A>1", "C^1", "F<1", "G<1", "Cv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AABoCDoBECDooECDFFGGooooo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>1,C^1,F<1,G<1,Cv1,A>2\n"]}} {"board": "oBBBoCoDEoCFDEGCFDHGAAoHG", "size": 5, "moves": 5, "solution": ["B<1", "E^1", "G^1", "H^1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oBBBoCoDEoCFDEGCFDHGAAoHG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,E^1,G^1,H^1,A>3\n"]}} {"board": "AAoBCoooBCoooBDoEEEDFFGGo", "size": 5, "moves": 5, "solution": ["Dv1", "Cv1", "D<1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAoBCoooBCoooBDoEEEDFFGGo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,Cv1,D<1,Bv1,A>3\n"]}} {"board": "ooBBBAAooCooooCoDEEEoDFFF", "size": 5, "moves": 5, "solution": ["A>2", "D^2", "E<1", "Dv1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooBBBAAooCooooCoDEEEoDFFF\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,D^2,E<1,Dv1,A>1\n"]}} {"board": "AAooBooCCBDooEFDoGEFooGHH", "size": 5, "moves": 5, "solution": ["G^1", "H<1", "Gv1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAooBooCCBDooEFDoGEFooGHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nG^1,H<1,Gv1,Bv1,A>3\n"]}} {"board": "BBBoooCCCoAADEFooDEFoooGG", "size": 5, "moves": 5, "solution": ["C<1", "Dv1", "D^2", "E^2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BBBoooCCCoAADEFooDEFoooGG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,Dv1,D^2,E^2,A>3\n"]}} {"board": "AABCDEoBCDEFoCooFoGGoHHII", "size": 5, "moves": 6, "solution": ["Bv1", "Cv1", "F^1", "G<2", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AABCDEoBCDEFoCooFoGGoHHII\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Cv1,F^1,G<2,Bv1,A>3\n"]}} {"board": "oBBBooAACDEoFCDEGFCoEGHHH", "size": 5, "moves": 6, "solution": ["Dv1", "D^1", "G^1", "H<2", "Dv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oBBBooAACDEoFCDEGFCoEGHHH\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,D^1,G^1,H<2,Dv1,A>2\n"]}} {"board": "BAACDBEoCDoEFFoGoHHHGIIoo", "size": 5, "moves": 6, "solution": ["Dv1", "I>1", "Dv2", "E<1", "Cv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BAACDBEoCDoEFFoGoHHHGIIoo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,I>1,Dv2,E<1,Cv1,A>2\n"]}} {"board": "BooooBCDDDECFoGEoFHGoAAHG", "size": 5, "moves": 5, "solution": ["Cv1", "C<1", "G^1", "H^1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BooooBCDDDECFoGEoFHGoAAHG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,C<1,G^1,H^1,A>2\n"]}} {"board": "BAACDBoECDBFECDoFoGGHHoII", "size": 5, "moves": 5, "solution": ["F^1", "G<2", "Cv1", "Cv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BAACDBoECDBFECDoFoGGHHoII\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,G<2,Cv1,Cv1,A>2\n"]}} {"board": "oAABCDEoBCDEooFGoHHFGIIJJ", "size": 5, "moves": 8, "solution": ["Bv1", "C^1", "G^1", "I<1", "J<1", "Gv1", "Cv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAABCDEoBCDEooFGoHHFGIIJJ\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,C^1,G^1,I<1,J<1,Gv1,Cv1,A>2\n"]}} {"board": "AABoCDDBoCEFGGHEFoIHEJJIo", "size": 5, "moves": 10, "solution": ["Hv1", "G>1", "Bv2", "C>1", "D^1", "J<1", "Fv1", "F<1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AABoCDDBoCEFGGHEFoIHEJJIo\nOptimal length (moves): 10\nReturn only the and blocks.", "\nShortest path found.\n\n\nHv1,G>1,Bv2,C>1,D^1,J<1,Fv1,F<1,Bv1,A>3\n"]}} {"board": "AABCDEoBCDEooCDEoFFoooGGG", "size": 5, "moves": 5, "solution": ["Bv1", "Cv1", "F<1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AABCDEoBCDEooCDEoFFoooGGG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Cv1,F<1,Bv1,A>3\n"]}} {"board": "oAABCoDDBCEFFFCEooGGooHHo", "size": 5, "moves": 6, "solution": ["E^2", "F<1", "Cv1", "G<1", "Cv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAABCoDDBCEFFFCEooGGooHHo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^2,F<1,Cv1,G<1,Cv1,A>2\n"]}} {"board": "AAoBCDooBCDEooFoEooFoGGHH", "size": 5, "moves": 6, "solution": ["Bv1", "G<1", "H<1", "Fv1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAoBCDooBCDEooFoEooFoGGHH\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,G<1,H<1,Fv1,Bv1,A>3\n"]}} {"board": "oooooBBBooCDDDoCAAEoFFoEo", "size": 5, "moves": 5, "solution": ["F>1", "Cv1", "C<1", "E^2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oooooBBBooCDDDoCAAEoFFoEo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nF>1,Cv1,C<1,E^2,A>2\n"]}} {"board": "AABooCCBDDEFGGHEFooHoFoII", "size": 5, "moves": 5, "solution": ["I<1", "Hv1", "G>1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AABooCCBDDEFGGHEFooHoFoII\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nI<1,Hv1,G>1,Bv1,A>3\n"]}} {"board": "AABoCDoBECDFBEGHFooGHFIII", "size": 5, "moves": 6, "solution": ["Bv1", "F^1", "I<1", "Gv1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AABoCDoBECDFBEGHFooGHFIII\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,F^1,I<1,Gv1,Bv1,A>3\n"]}} {"board": "AAooBCoooBCDDDEoFFFEoGGHH", "size": 5, "moves": 5, "solution": ["G<1", "H<1", "Ev1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAooBCoooBCDDDEoFFFEoGGHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,H<1,Ev1,Bv1,A>3\n"]}} {"board": "oAABCDDoBCEoFBoEoFGGEoHHo", "size": 5, "moves": 5, "solution": ["Cv1", "F^1", "G<2", "Bv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAABCDDoBCEoFBoEoFGGEoHHo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,F^1,G<2,Bv1,A>2\n"]}} {"board": "oAABCoooBCoooBCDEEEoDooFF", "size": 5, "moves": 5, "solution": ["Cv1", "D^2", "E<1", "Bv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAABCoooBCoooBCDEEEoDooFF\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,D^2,E<1,Bv1,A>2\n"]}} {"board": "ooBBBCCCDEAAFDEGGFHHIIoJJ", "size": 5, "moves": 5, "solution": ["B<2", "D^1", "E^1", "Fv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooBBBCCCDEAAFDEGGFHHIIoJJ\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,D^1,E^1,Fv1,A>3\n"]}} {"board": "BCCCoBAAoDBEEoDFGHHDFGIII", "size": 5, "moves": 5, "solution": ["E>1", "G^1", "I<1", "Dv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BCCCoBAAoDBEEoDFGHHDFGIII\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE>1,G^1,I<1,Dv1,A>2\n"]}} {"board": "oooBoAAoBCDEEECDFFFCGGHHo", "size": 5, "moves": 7, "solution": ["A>1", "Cv1", "C^2", "D<1", "F<1", "Cv2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oooBoAAoBCDEEECDFFFCGGHHo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,Cv1,C^2,D<1,F<1,Cv2,A>2\n"]}} {"board": "oAABCoooBCoDEEEoDoFFoGGoo", "size": 5, "moves": 6, "solution": ["G>1", "Dv1", "D<2", "Bv1", "Bv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAABCoooBCoDEEEoDoFFoGGoo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nG>1,Dv1,D<2,Bv1,Bv1,A>2\n"]}} {"board": "oAABCoDEBCFDEGCFoHGoooHII", "size": 5, "moves": 10, "solution": ["A<1", "Cv1", "D^1", "H^1", "I<3", "Gv1", "Bv1", "Gv1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAABCoDEBCFDEGCFoHGoooHII\nOptimal length (moves): 10\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<1,Cv1,D^1,H^1,I<3,Gv1,Bv1,Gv1,Bv1,A>3\n"]}} {"board": "oAAoBoCDDBECooBEFFGGEHHoo", "size": 5, "moves": 5, "solution": ["E^2", "F<1", "G<1", "Cv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAAoBoCDDBECooBEFFGGEHHoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^2,F<1,G<1,Cv1,A>2\n"]}} {"board": "oAABCDEFBCDEFGoDoHGoooHII", "size": 5, "moves": 10, "solution": ["A<1", "Cv1", "E^1", "H^1", "I<3", "Gv1", "Bv1", "Gv1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAABCDEFBCDEFGoDoHGoooHII\nOptimal length (moves): 10\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<1,Cv1,E^1,H^1,I<3,Gv1,Bv1,Gv1,Bv1,A>3\n"]}} {"board": "oAABooCoBoDCEEFDGGGFDoHHH", "size": 5, "moves": 6, "solution": ["F^1", "G>1", "Cv2", "E<1", "Bv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAABooCoBoDCEEFDGGGFDoHHH\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,G>1,Cv2,E<1,Bv1,A>2\n"]}} {"board": "BoAACBDDoCoEFoCoEFGGHHIII", "size": 5, "moves": 6, "solution": ["Bv2", "C<1", "F^1", "G<1", "Bv1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BoAACBDDoCoEFoCoEFGGHHIII\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,C<1,F^1,G<1,Bv1,A>1\n"]}} {"board": "AABoCDDBoCEoFFoEoGGGHHooo", "size": 5, "moves": 5, "solution": ["G<1", "Cv3", "E>1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AABoCDDBoCEoFFoEoGGGHHooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,Cv3,E>1,Bv1,A>3\n"]}} {"board": "AABCDoEBCDFEGGoFooHHFoooo", "size": 5, "moves": 7, "solution": ["Ev2", "F>1", "Bv3", "E<2", "Bv1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AABCDoEBCDFEGGoFooHHFoooo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv2,F>1,Bv3,E<2,Bv1,Bv1,A>3\n"]}} {"board": "BBBCDAAoCDooEEDFoGGGFHHoo", "size": 5, "moves": 7, "solution": ["A>1", "E<1", "F^2", "G<2", "Cv2", "Cv2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BBBCDAAoCDooEEDFoGGGFHHoo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,E<1,F^2,G<2,Cv2,Cv2,A>2\n"]}} {"board": "AAoBCDEFBCDEFoGoHFoGoHIII", "size": 5, "moves": 8, "solution": ["Bv1", "A>2", "D^1", "H^1", "I<1", "Hv1", "Cv1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAoBCDEFBCDEFoGoHFoGoHIII\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2,D^1,H^1,I<1,Hv1,Cv1,A>1\n"]}} {"board": "BooCoBAACDBoEEDooFFooooGG", "size": 5, "moves": 5, "solution": ["Dv1", "D<1", "F<1", "Cv2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BooCoBAACDBoEEDooFFooooGG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,D<1,F<1,Cv2,A>2\n"]}} {"board": "oBBBCAAooCDEFFCDEGGGDHHHo", "size": 5, "moves": 5, "solution": ["A>2", "E^1", "G<1", "Cv2", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oBBBCAAooCDEFFCDEGGGDHHHo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,E^1,G<1,Cv2,A>1\n"]}} {"board": "AAoBCDDoBCEoFFFEoGGGHHIIo", "size": 5, "moves": 7, "solution": ["A>1", "D>1", "E^2", "F<2", "Cv1", "Cv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAoBCDDoBCEoFFFEoGGGHHIIo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,D>1,E^2,F<2,Cv1,Cv1,A>2\n"]}} {"board": "ooBBBCDDDECAAFECGoFHoGIIH", "size": 5, "moves": 6, "solution": ["B<2", "Cv1", "C<1", "D^1", "F^2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooBBBCDDDECAAFECGoFHoGIIH\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,Cv1,C<1,D^1,F^2,A>2\n"]}} {"board": "AABoCooBoCoDDEEFFFoooGGHH", "size": 5, "moves": 8, "solution": ["D<1", "E<1", "G<1", "H<1", "Cv3", "D>1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AABoCooBoCoDDEEFFFoooGGHH\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,E<1,G<1,H<1,Cv3,D>1,Bv1,A>3\n"]}} {"board": "AABoCDEBoCDEFFGHHoIGoooIo", "size": 5, "moves": 6, "solution": ["Gv1", "F>1", "Bv3", "E<1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AABoCDEBoCDEFFGHHoIGoooIo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nGv1,F>1,Bv3,E<1,Bv1,A>3\n"]}} {"board": "AABoCDoBoCDoBoCoEFFooEooo", "size": 5, "moves": 5, "solution": ["Cv1", "E^2", "F<2", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AABoCDoBoCDoBoCoEFFooEooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,E^2,F<2,Bv1,A>3\n"]}} {"board": "oAABooooBoooCDDEECFFooGGG", "size": 5, "moves": 6, "solution": ["A<1", "C^2", "D<3", "Bv1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAABooooBoooCDDEECFFooGGG\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<1,C^2,D<3,Bv1,Bv1,A>3\n"]}} {"board": "oBCCCDBooEDBoFEDAAFEooooo", "size": 5, "moves": 6, "solution": ["F^1", "A>1", "Bv1", "B<1", "F^1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oBCCCDBooEDBoFEDAAFEooooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,A>1,Bv1,B<1,F^1,A>1\n"]}} {"board": "ooooBAACoBooCDDooEEooFFFo", "size": 5, "moves": 6, "solution": ["C^1", "D<3", "Cv2", "E<2", "Bv2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooooBAACoBooCDDooEEooFFFo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D<3,Cv2,E<2,Bv2,A>3\n"]}} {"board": "AABooooBoCDDEECooFFGoHHoG", "size": 5, "moves": 8, "solution": ["C^1", "E>1", "F<2", "H<1", "Bv3", "D<1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AABooooBoCDDEECooFFGoHHoG\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,E>1,F<2,H<1,Bv3,D<1,Bv1,A>3\n"]}} {"board": "AABCDooBCDooEEooFGGooFHHo", "size": 5, "moves": 5, "solution": ["Dv1", "E<2", "Bv1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AABCDooBCDooEEooFGGooFHHo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,E<2,Bv1,Bv1,A>3\n"]}} {"board": "AABCoooBCoDDoEoFooEoFoGGo", "size": 5, "moves": 5, "solution": ["Bv1", "G<1", "Ev1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AABCoooBCoDDoEoFooEoFoGGo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,G<1,Ev1,Bv1,A>3\n"]}} {"board": "AAoBCDEoBCDEoFFGooHHGIIIo", "size": 5, "moves": 6, "solution": ["I>1", "Ev2", "E<2", "Bv1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAoBCDEoBCDEoFFGooHHGIIIo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nI>1,Ev2,E<2,Bv1,Bv1,A>3\n"]}} {"board": "AABCDEEBCDFFooGoHHoGooooo", "size": 5, "moves": 5, "solution": ["Bv1", "Bv1", "Gv1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AABCDEEBCDFFooGoHHoGooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,Gv1,Bv1,A>3\n"]}} {"board": "AAoBCDDEBCoFEGHoFoGHooooo", "size": 5, "moves": 5, "solution": ["Gv1", "Bv1", "Gv1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAoBCDDEBCoFEGHoFoGHooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nGv1,Bv1,Gv1,Bv1,A>3\n"]}} {"board": "oAABCDEoBCDEFBCooFGGoHHHo", "size": 5, "moves": 5, "solution": ["F^1", "G<2", "Bv1", "Bv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAABCDEoBCDEFBCooFGGoHHHo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,G<2,Bv1,Bv1,A>2\n"]}} {"board": "ooooBoAAoBCCDEEooDFFoooGG", "size": 5, "moves": 7, "solution": ["A<1", "D^1", "F<3", "Cv2", "D<1", "Bv2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooooBoAAoBCCDEEooDFFoooGG\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<1,D^1,F<3,Cv2,D<1,Bv2,A>3\n"]}} {"board": "oAABCDDoBCEFoGGEFoooEHHoo", "size": 5, "moves": 6, "solution": ["H>1", "Fv1", "F<2", "Bv1", "Bv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAABCDDoBCEFoGGEFoooEHHoo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nH>1,Fv1,F<2,Bv1,Bv1,A>2\n"]}} {"board": "oAABooCDBooCDEEooFGGHHFoo", "size": 5, "moves": 10, "solution": ["A<1", "D^1", "F^1", "H>3", "Dv2", "Dv1", "D<3", "Bv1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAABooCDBooCDEEooFGGHHFoo\nOptimal length (moves): 10\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<1,D^1,F^1,H>3,Dv2,Dv1,D<3,Bv1,Bv1,A>3\n"]}} {"board": "AAooBCCCoBDEEFFDGHIJoGHIJ", "size": 5, "moves": 5, "solution": ["Dv1", "D<1", "E<1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAooBCCCoBDEEFFDGHIJoGHIJ\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,D<1,E<1,Bv1,A>3\n"]}} {"board": "BoCDoBoCDooEFFFoEoGHoAAGH", "size": 5, "moves": 5, "solution": ["E^2", "F<2", "G^1", "H^1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BoCDoBoCDooEFFFoEoGHoAAGH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^2,F<2,G^1,H^1,A>2\n"]}} {"board": "BAACoBooCoDEoCoDEFGGooFHH", "size": 5, "moves": 5, "solution": ["E^1", "F^2", "G<2", "Cv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BAACoBooCoDEoCoDEFGGooFHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,F^2,G<2,Cv1,A>2\n"]}} {"board": "oAABoCCCBDEFGGDEFooooHHHo", "size": 5, "moves": 5, "solution": ["H>1", "Fv1", "F<1", "Bv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAABoCCCBDEFGGDEFooooHHHo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nH>1,Fv1,F<1,Bv1,A>2\n"]}} {"board": "oAAoBoCCoBDEEFFDGGGooHHII", "size": 5, "moves": 5, "solution": ["D^2", "E<1", "F<1", "Cv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAAoBoCCoBDEEFFDGGGooHHII\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,E<1,F<1,Cv1,A>2\n"]}} {"board": "ooooooAAoBooCCBDDEoBFFEGG", "size": 5, "moves": 5, "solution": ["C<2", "E^1", "G<1", "Bv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooooooAAoBooCCBDDEoBFFEGG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,E^1,G<1,Bv1,A>2\n"]}} {"board": "oBCCCoBooDEAAoDEoFGHIIFGH", "size": 5, "moves": 5, "solution": ["A>1", "Bv1", "B<1", "D^1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oBCCCoBooDEAAoDEoFGHIIFGH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,Bv1,B<1,D^1,A>1\n"]}} {"board": "oAAoBCCDoBooDoEFoDoEFGGHH", "size": 5, "moves": 6, "solution": ["F^1", "G<1", "H<1", "Fv1", "Bv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAAoBCCDoBooDoEFoDoEFGGHH\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,G<1,H<1,Fv1,Bv1,A>2\n"]}} {"board": "AABoCoDBoCEDFFoEDoGGHHoII", "size": 5, "moves": 5, "solution": ["F>1", "Bv3", "E<1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AABoCoDBoCEDFFoEDoGGHHoII\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nF>1,Bv3,E<1,Bv1,A>3\n"]}} {"board": "oAABCDDoBCEoFFFEoGHHIIGJJ", "size": 5, "moves": 6, "solution": ["D>1", "E^2", "F<2", "Cv1", "Cv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAABCDDoBCEoFFFEoGHHIIGJJ\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nD>1,E^2,F<2,Cv1,Cv1,A>2\n"]}} {"board": "BBBoCDEEECDFGGGoFooHAAooH", "size": 5, "moves": 5, "solution": ["A>2", "Fv1", "F<1", "H^1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BBBoCDEEECDFGGGoFooHAAooH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,Fv1,F<1,H^1,A>1\n"]}} {"board": "ooBBBCAADECFFDEGHHoEGIIJJ", "size": 5, "moves": 7, "solution": ["C^1", "Dv1", "G^1", "I<1", "J<1", "Dv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooBBBCAADECFFDEGHHoEGIIJJ\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,Dv1,G^1,I<1,J<1,Dv1,A>2\n"]}} {"board": "BoCCCBooooAAoDoEEoDoFFFGG", "size": 5, "moves": 5, "solution": ["A>1", "Bv1", "B<2", "D^2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BoCCCBooooAAoDoEEoDoFFFGG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,Bv1,B<2,D^2,A>2\n"]}} {"board": "ooBooAABCoDDBCooEEoFooGGF", "size": 5, "moves": 5, "solution": ["Cv1", "E<1", "G<2", "Bv2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooBooAABCoDDBCooEEoFooGGF\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,E<1,G<2,Bv2,A>3\n"]}} {"board": "oAAoBoCooBDCEEEDFoGGDFooo", "size": 5, "moves": 5, "solution": ["A>1", "C^1", "E<1", "Cv1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAAoBoCooBDCEEEDFoGGDFooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,C^1,E<1,Cv1,A>1\n"]}} {"board": "AAoBCDDDBCEFoGGEFoHHEIIoo", "size": 5, "moves": 6, "solution": ["I>1", "Fv1", "F<2", "Bv1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAoBCDDDBCEFoGGEFoHHEIIoo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nI>1,Fv1,F<2,Bv1,Bv1,A>3\n"]}} {"board": "AABCDEoBCDEoFFooooGHoooGH", "size": 5, "moves": 6, "solution": ["Dv1", "Dv2", "E<2", "Bv1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AABCDEoBCDEoFFooooGHoooGH\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,Dv2,E<2,Bv1,Bv1,A>3\n"]}} {"board": "oAABCoooBCoDoBoEDoFFEGGHH", "size": 5, "moves": 5, "solution": ["Cv1", "D^1", "F<2", "Bv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAABCoooBCoDoBoEDoFFEGGHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,D^1,F<2,Bv1,A>2\n"]}} {"board": "oBAACoBooCDEFFFDEGGoHHHoo", "size": 5, "moves": 5, "solution": ["H>2", "Ev1", "E<1", "Cv1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oBAACoBooCDEFFFDEGGoHHHoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nH>2,Ev1,E<1,Cv1,A>1\n"]}} {"board": "BBBoCoAAoCDEEFFDGGHHIIoJJ", "size": 5, "moves": 8, "solution": ["B>1", "D^2", "E<1", "F<1", "G<1", "H<1", "Dv2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BBBoCoAAoCDEEFFDGGHHIIoJJ\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nB>1,D^2,E<1,F<1,G<1,H<1,Dv2,A>2\n"]}} {"board": "AABCoDoBCoDoBoEDFFoEoGGoo", "size": 5, "moves": 5, "solution": ["Cv1", "E^1", "F>2", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AABCoDoBCoDoBoEDFFoEoGGoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,E^1,F>2,Bv1,A>3\n"]}} {"board": "BoCCCBDEFGHDEFGHDoIJAAoIJ", "size": 5, "moves": 9, "solution": ["A>1", "Hv1", "Bv1", "B<2", "F^1", "G^1", "I^1", "J^1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BoCCCBDEFGHDEFGHDoIJAAoIJ\nOptimal length (moves): 9\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,Hv1,Bv1,B<2,F^1,G^1,I^1,J^1,A>2\n"]}} {"board": "BooooBCDDDoCEEEFoAAGFoHHG", "size": 5, "moves": 5, "solution": ["Cv2", "C<1", "D<1", "G^2", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BooooBCDDDoCEEEFoAAGFoHHG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,C<1,D<1,G^2,A>1\n"]}} {"board": "oooBCAADBCEoDBoEFoooEFGGo", "size": 5, "moves": 6, "solution": ["Cv2", "Cv1", "F^1", "G<1", "Bv2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oooBCAADBCEoDBoEFoooEFGGo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,Cv1,F^1,G<1,Bv2,A>3\n"]}} {"board": "AABoCooBoCDEEooDoFGGooFoo", "size": 5, "moves": 5, "solution": ["Cv1", "Dv1", "D<1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AABoCooBoCDEEooDoFGGooFoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Dv1,D<1,Bv1,A>3\n"]}} {"board": "oBBBoCDAAECDooEFDGGGFoHHH", "size": 5, "moves": 5, "solution": ["B>1", "D^1", "G<1", "Ev1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oBBBoCDAAECDooEFDGGGFoHHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB>1,D^1,G<1,Ev1,A>1\n"]}} {"board": "oAABCoooBCooooCoDEEEoDoFF", "size": 5, "moves": 5, "solution": ["Bv1", "D^2", "E<1", "Bv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAABCoooBCooooCoDEEEoDoFF\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,D^2,E<1,Bv1,A>2\n"]}} {"board": "BAACDBooCDBooEFoGGEFoHHoo", "size": 5, "moves": 5, "solution": ["Ev1", "Cv1", "Ev1", "Cv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BAACDBooCDBooEFoGGEFoHHoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,Cv1,Ev1,Cv1,A>2\n"]}} {"board": "oAABoCoDBECoDFEGHoFEGHIIo", "size": 5, "moves": 5, "solution": ["H^1", "I<1", "Gv1", "Bv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAABoCoDBECoDFEGHoFEGHIIo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nH^1,I<1,Gv1,Bv1,A>2\n"]}} {"board": "AAoBoCooBoCDDDoEEEoooFFGG", "size": 5, "moves": 5, "solution": ["A>1", "C^1", "D<1", "Cv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAoBoCooBoCDDDoEEEoooFFGG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,C^1,D<1,Cv1,A>2\n"]}} {"board": "ooooBoAAoBCoooBCDDEECoooo", "size": 5, "moves": 5, "solution": ["C^2", "D<1", "E<1", "Cv2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooooBoAAoBCoooBCDDEECoooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,D<1,E<1,Cv2,A>2\n"]}} {"board": "oAABCoDDBCooEBCFoEGGFoHHH", "size": 5, "moves": 6, "solution": ["D<1", "E^1", "G<2", "Bv1", "Bv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAABCoDDBCooEBCFoEGGFoHHH\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,E^1,G<2,Bv1,Bv1,A>2\n"]}} {"board": "oAABooCCBooDEEooDooooFFFo", "size": 5, "moves": 5, "solution": ["F>1", "Dv1", "D<1", "Bv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAABooCCBooDEEooDooooFFFo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nF>1,Dv1,D<1,Bv1,A>2\n"]}} {"board": "BCCCDBooEDoooEDAAFEoGGFHH", "size": 5, "moves": 5, "solution": ["Bv1", "B<1", "E^1", "F^2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BCCCDBooEDoooEDAAFEoGGFHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,B<1,E^1,F^2,A>3\n"]}} {"board": "oooooBCCCoBooDEAAoDEFFGGG", "size": 5, "moves": 6, "solution": ["E^1", "A>1", "Bv1", "B<1", "E^1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oooooBCCCoBooDEAAoDEFFGGG\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,A>1,Bv1,B<1,E^1,A>2\n"]}} {"board": "BAACDBoECDFGEoDFGHHHIIJJJ", "size": 5, "moves": 5, "solution": ["Cv1", "G^1", "H<1", "Cv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BAACDBoECDFGEoDFGHHHIIJJJ\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,G^1,H<1,Cv1,A>2\n"]}} {"board": "oBBBCDAAoCDooooDEEFFoGGoo", "size": 5, "moves": 5, "solution": ["D^1", "E<1", "F<1", "Dv2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oBBBCDAAoCDooooDEEFFoGGoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E<1,F<1,Dv2,A>2\n"]}} {"board": "oBCCCoBDooEBDoFEAAoFGGHHF", "size": 5, "moves": 5, "solution": ["A>1", "Bv1", "B<1", "F^2", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oBCCCoBDooEBDoFEAAoFGGHHF\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,Bv1,B<1,F^2,A>1\n"]}} {"board": "AABoCooBoCoDEEoFDoooFooGG", "size": 5, "moves": 5, "solution": ["Cv1", "Dv1", "D<2", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AABoCooBoCoDEEoFDoooFooGG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Dv1,D<2,Bv1,A>3\n"]}} {"board": "oBAACoBoDCEFFDGEHHHGEIIJJ", "size": 5, "moves": 6, "solution": ["E^1", "I<1", "J<1", "Gv1", "Cv1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oBAACoBoDCEFFDGEHHHGEIIJJ\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,I<1,J<1,Gv1,Cv1,A>1\n"]}} {"board": "AABoooCBDooCEDoFGEoHFGIIH", "size": 5, "moves": 5, "solution": ["H^1", "I>1", "Ev1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AABoooCBDooCEDoFGEoHFGIIH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nH^1,I>1,Ev1,Bv1,A>3\n"]}} {"board": "oBBBoAACDEFGCDEFGooEooHHH", "size": 5, "moves": 5, "solution": ["Cv1", "Cv1", "H<1", "Cv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oBBBoAACDEFGCDEFGooEooHHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Cv1,H<1,Cv1,A>3\n"]}} {"board": "AAooBooCoBDDCEEFFoGGooHHH", "size": 5, "moves": 8, "solution": ["C^1", "E<1", "G<1", "H<1", "Cv3", "D>1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAooBooCoBDDCEEFFoGGooHHH\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,E<1,G<1,H<1,Cv3,D>1,Bv1,A>3\n"]}} {"board": "oBBBoAAoCDEFFCDEGGGDoooHH", "size": 5, "moves": 7, "solution": ["A>1", "E^1", "G<1", "Dv1", "H<1", "Dv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oBBBoAAoCDEFFCDEGGGDoooHH\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,E^1,G<1,Dv1,H<1,Dv1,A>2\n"]}} {"board": "AABoCoDBoCEDFFoEGGooEoHHH", "size": 5, "moves": 5, "solution": ["H<1", "Cv3", "E>1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AABoCoDBoCEDFFoEGGooEoHHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nH<1,Cv3,E>1,Bv1,A>3\n"]}} {"board": "oAAoBoCCoBDoEFFDoEGGoHHoo", "size": 5, "moves": 5, "solution": ["H<1", "Ev1", "E<1", "Bv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAAoBoCCoBDoEFFDoEGGoHHoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nH<1,Ev1,E<1,Bv1,A>2\n"]}} {"board": "AABooCCBDDEEFooGoFHIGJJHI", "size": 5, "moves": 6, "solution": ["H^1", "I^1", "J>2", "Fv1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AABooCCBDDEEFooGoFHIGJJHI\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nH^1,I^1,J>2,Fv1,Bv1,A>3\n"]}} {"board": "ooAABoooCBDDoCBEFFGGEHHoo", "size": 5, "moves": 6, "solution": ["D>1", "E^2", "F<1", "G<1", "Bv1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooAABoooCBDDoCBEFFGGEHHoo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nD>1,E^2,F<1,G<1,Bv1,A>1\n"]}} {"board": "oooBCoAABCDEEECDFFFoooooo", "size": 5, "moves": 6, "solution": ["Cv2", "C^2", "D<1", "F<1", "Cv2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oooBCoAABCDEEECDFFFoooooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,C^2,D<1,F<1,Cv2,A>2\n"]}} {"board": "AAoBoCoDBoCEDFFCEoGGooooo", "size": 5, "moves": 5, "solution": ["Dv2", "Dv1", "D<2", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAoBoCoDBoCEDFFCEoGGooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv2,Dv1,D<2,Bv1,A>3\n"]}} {"board": "oooooAABCDoEBCDFEBoDFoGGo", "size": 5, "moves": 6, "solution": ["Cv1", "Cv1", "F^1", "G<2", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oooooAABCDoEBCDFEBoDFoGGo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Cv1,F^1,G<2,Bv1,A>3\n"]}} {"board": "BAACoBDoCEBDFFEoGGoEHHooo", "size": 5, "moves": 6, "solution": ["G>1", "H>2", "Dv2", "E<1", "Cv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BAACoBDoCEBDFFEoGGoEHHooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nG>1,H>2,Dv2,E<1,Cv1,A>2\n"]}} {"board": "BAACDBEoCDoEooFoGGGFooHHH", "size": 5, "moves": 5, "solution": ["Cv1", "H<1", "Fv1", "Cv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BAACDBEoCDoEooFoGGGFooHHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,H<1,Fv1,Cv1,A>2\n"]}} {"board": "ooAABCoDoBCEDFFCEoGGoEHHH", "size": 5, "moves": 10, "solution": ["A<2", "D^1", "E^1", "F<1", "G<1", "H<1", "Cv3", "E>1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooAABCoDoBCEDFFCEoGGoEHHH\nOptimal length (moves): 10\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<2,D^1,E^1,F<1,G<1,H<1,Cv3,E>1,Bv1,A>3\n"]}} {"board": "BAACDBooCDBEEoDoFFGGooHHo", "size": 5, "moves": 5, "solution": ["Cv1", "F<1", "G<1", "Cv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BAACDBooCDBEEoDoFFGGooHHo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,F<1,G<1,Cv1,A>2\n"]}} {"board": "AABCoooBCooDEoFoDEoFoDGGo", "size": 5, "moves": 5, "solution": ["Cv1", "G>1", "Ev1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AABCoooBCooDEoFoDEoFoDGGo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,G>1,Ev1,Bv1,A>3\n"]}} {"board": "oBBBCoAAoCDoEECDoFFFDGGHH", "size": 5, "moves": 6, "solution": ["D^1", "F<1", "G<1", "H<1", "Cv2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oBBBCoAAoCDoEECDoFFFDGGHH\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,F<1,G<1,H<1,Cv2,A>2\n"]}} {"board": "BoCCCBDoEoBDFEoAAFEGoHHHG", "size": 5, "moves": 7, "solution": ["F^1", "A>1", "Bv1", "B<2", "F^1", "G^2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BoCCCBDoEoBDFEoAAFEGoHHHG\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,A>1,Bv1,B<2,F^1,G^2,A>2\n"]}} {"board": "AAoBCDDDBCoEoFFGEoooGHHoo", "size": 5, "moves": 6, "solution": ["H>1", "Ev1", "E<2", "Bv1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAoBCDDDBCoEoFFGEoooGHHoo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nH>1,Ev1,E<2,Bv1,Bv1,A>3\n"]}} {"board": "oooBCDAABCDoEECoFFFoooGGo", "size": 5, "moves": 5, "solution": ["Cv2", "D<1", "F<1", "Bv2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oooBCDAABCDoEECoFFFoooGGo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,D<1,F<1,Bv2,A>2\n"]}} {"board": "BBBCoAAoCDoEFFDGEoooGoHHH", "size": 5, "moves": 5, "solution": ["Dv1", "Dv1", "D<1", "Cv2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BBBCoAAoCDoEFFDGEoooGoHHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,Dv1,D<1,Cv2,A>3\n"]}} {"board": "oAABooCDBooCDBoEoDFFEooGG", "size": 5, "moves": 7, "solution": ["A<1", "D^1", "E^2", "F<3", "Bv1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAABooCDBooCDBoEoDFFEooGG\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<1,D^1,E^2,F<3,Bv1,Bv1,A>3\n"]}} {"board": "AAooBCDooBCDEEECoFGGHHFoo", "size": 5, "moves": 5, "solution": ["A>2", "D^1", "E<1", "Cv1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAooBCDooBCDEEECoFGGHHFoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,D^1,E<1,Cv1,A>1\n"]}} {"board": "oooBoAAoBCooDDCoEEECoFFFo", "size": 5, "moves": 5, "solution": ["Cv1", "C<1", "E<1", "Bv2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oooBoAAoBCooDDCoEEECoFFFo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,C<1,E<1,Bv2,A>3\n"]}} {"board": "ooooBAAooBoooooCDEEECDoFF", "size": 5, "moves": 5, "solution": ["A>2", "D^2", "E<1", "Bv2", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooooBAAooBoooooCDEEECDoFF\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,D^2,E<1,Bv2,A>1\n"]}} {"board": "AAoBCoDDBCEFFFoEooGGHHooo", "size": 5, "moves": 6, "solution": ["A>1", "Cv1", "E^2", "F<1", "Cv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAoBCoDDBCEFFFoEooGGHHooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,Cv1,E^2,F<1,Cv1,A>2\n"]}} {"board": "AAooBCoDDBCEEFFoGGooHHHII", "size": 5, "moves": 6, "solution": ["A>1", "C^1", "E<1", "F<1", "Cv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAooBCoDDBCEEFFoGGooHHHII\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,C^1,E<1,F<1,Cv1,A>2\n"]}} {"board": "BCAADBCEEDFGooHFGooHoIIJJ", "size": 5, "moves": 5, "solution": ["I<1", "J<1", "Hv1", "Dv1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BCAADBCEEDFGooHFGooHoIIJJ\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nI<1,J<1,Hv1,Dv1,A>1\n"]}} {"board": "oBCCCDBooEDoooEFFFoGooAAG", "size": 5, "moves": 5, "solution": ["Bv1", "B<1", "E^1", "G^1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oBCCCDBooEDoooEFFFoGooAAG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,B<1,E^1,G^1,A>1\n"]}} {"board": "AAoBoCCCBoDooEFDGHEFDGHII", "size": 5, "moves": 6, "solution": ["G^1", "H^1", "I<2", "Gv1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAoBoCCCBoDooEFDGHEFDGHII\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nG^1,H^1,I<2,Gv1,Bv1,A>3\n"]}} {"board": "AAoBooooBCDEFFCDEoGGoHHHo", "size": 5, "moves": 5, "solution": ["H>1", "Ev1", "E<1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAoBooooBCDEFFCDEoGGoHHHo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nH>1,Ev1,E<1,Bv1,A>3\n"]}} {"board": "ooooBCAADBCooDBEooFFEoGGG", "size": 5, "moves": 5, "solution": ["F<2", "Dv1", "G<1", "Bv2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooooBCAADBCooDBEooFFEoGGG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<2,Dv1,G<1,Bv2,A>2\n"]}} {"board": "AAoBCoDDBCEoooCEFFGGHHHoo", "size": 5, "moves": 6, "solution": ["Bv1", "E^1", "F<1", "G<1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAoBCoDDBCEoooCEFFGGHHHoo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,E^1,F<1,G<1,Bv1,A>3\n"]}} {"board": "oooBoAAoBoCDDBECoFFECGGGE", "size": 5, "moves": 6, "solution": ["A>1", "C^1", "F<1", "G<1", "Bv2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oooBoAAoBoCDDBECoFFECGGGE\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,C^1,F<1,G<1,Bv2,A>2\n"]}} {"board": "ooBCDAABCDooEEDFooooFoGGG", "size": 5, "moves": 6, "solution": ["E<2", "Bv2", "Bv2", "G<1", "Bv2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooBCDAABCDooEEDFooooFoGGG\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<2,Bv2,Bv2,G<1,Bv2,A>3\n"]}} {"board": "AABoCDDBoCEFFoCEooGGoHHHo", "size": 5, "moves": 6, "solution": ["Ev1", "E<1", "Bv1", "G<1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AABoCDDBoCEFFoCEooGGoHHHo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,E<1,Bv1,G<1,Bv1,A>3\n"]}} {"board": "AAoBCoDDBCEEooCooFGGHHFII", "size": 5, "moves": 6, "solution": ["Bv1", "C<1", "F^2", "G<1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAoBCoDDBCEEooCooFGGHHFII\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,C<1,F^2,G<1,Bv1,A>3\n"]}} {"board": "oAABoCCoBDoEFFDoEoGGoHHHo", "size": 5, "moves": 5, "solution": ["H>1", "Ev1", "E<1", "Bv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAABoCCoBDoEFFDoEoGGoHHHo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nH>1,Ev1,E<1,Bv1,A>2\n"]}} {"board": "oAAoBCoooBCDEEECDoooFFGGo", "size": 5, "moves": 5, "solution": ["A>1", "D^2", "E<1", "Cv1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAAoBCoooBCDEEECDoooFFGGo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,D^2,E<1,Cv1,A>1\n"]}} {"board": "AAooBCoDoBCoDEEoFFGGoHHHo", "size": 5, "moves": 6, "solution": ["Cv2", "C^1", "D<3", "Bv1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAooBCoDoBCoDEEoFFGGoHHHo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,C^1,D<3,Bv1,Bv1,A>3\n"]}} {"board": "AABCDooBCDEEoFDoooFoooooo", "size": 5, "moves": 5, "solution": ["Bv1", "Cv1", "Fv1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AABCDooBCDEEoFDoooFoooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Cv1,Fv1,Bv1,A>3\n"]}} {"board": "AAoBooCoBooCDDoooEEEoFFFo", "size": 5, "moves": 5, "solution": ["F>1", "Cv2", "C<1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAoBooCoBooCDDoooEEEoFFFo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nF>1,Cv2,C<1,Bv1,A>3\n"]}} {"board": "BBBooAAoCDEFFCDEGGCDEoHHH", "size": 5, "moves": 6, "solution": ["A>1", "E^1", "H<2", "Dv1", "Dv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BBBooAAoCDEFFCDEGGCDEoHHH\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,E^1,H<2,Dv1,Dv1,A>2\n"]}} {"board": "oAABCoDDBCoEFFoGEHooGoHoo", "size": 5, "moves": 5, "solution": ["Cv1", "Ev1", "E<1", "Bv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAABCoDDBCoEFFoGEHooGoHoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Ev1,E<1,Bv1,A>2\n"]}} {"board": "BoooCBoooCooAADoEFoDoEFGG", "size": 5, "moves": 5, "solution": ["A<2", "F^3", "G<1", "Ev1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BoooCBoooCooAADoEFoDoEFGG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<2,F^3,G<1,Ev1,A>3\n"]}} {"board": "AAoBCoDoBCEDooFEGGGFoooHH", "size": 5, "moves": 5, "solution": ["Bv1", "H<1", "Fv1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAoBCoDoBCEDooFEGGGFoooHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,H<1,Fv1,Bv1,A>3\n"]}} {"board": "AAooBCDooBCDEEECFooGoFooG", "size": 5, "moves": 5, "solution": ["A>2", "D^1", "E<1", "Cv1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAooBCDooBCDEEECFooGoFooG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,D^1,E<1,Cv1,A>1\n"]}} {"board": "AABoCDoBoCDEEFGoHoFGoHIIo", "size": 5, "moves": 6, "solution": ["Dv2", "D<1", "Bv1", "Fv1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AABoCDoBoCDEEFGoHoFGoHIIo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv2,D<1,Bv1,Fv1,Bv1,A>3\n"]}} {"board": "BAAoCBDDDCEFFGGEHIJJoHIoo", "size": 5, "moves": 5, "solution": ["Ev1", "E<1", "F<1", "Cv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BAAoCBDDDCEFFGGEHIJJoHIoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,E<1,F<1,Cv1,A>2\n"]}} {"board": "BooCDBAACDEoFFDEoGGoEoHHo", "size": 5, "moves": 5, "solution": ["Dv2", "E<1", "G<1", "Cv2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BooCDBAACDEoFFDEoGGoEoHHo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv2,E<1,G<1,Cv2,A>2\n"]}} {"board": "BCDDDBCooEFAAoEFoGHHFoGoo", "size": 5, "moves": 5, "solution": ["A>1", "Cv1", "C<1", "E^1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BCDDDBCooEFAAoEFoGHHFoGoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,Cv1,C<1,E^1,A>1\n"]}} {"board": "AABCoDDBCEFoGGEFoooEHHIIo", "size": 5, "moves": 7, "solution": ["I>1", "H>1", "Fv1", "F<2", "Bv1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AABCoDDBCEFoGGEFoooEHHIIo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nI>1,H>1,Fv1,F<2,Bv1,Bv1,A>3\n"]}} {"board": "AABCDooBCDoooEEFGGoHFIIoH", "size": 5, "moves": 5, "solution": ["E<3", "Bv1", "Bv1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AABCDooBCDoooEEFGGoHFIIoH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<3,Bv1,Bv1,Bv1,A>3\n"]}} {"board": "BCDDDBCooooooEFGAAEFGHHHF", "size": 5, "moves": 5, "solution": ["Cv1", "C<1", "E^1", "F^2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BCDDDBCooooooEFGAAEFGHHHF\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,C<1,E^1,F^2,A>2\n"]}} {"board": "BoCCCBDooEBDoFEooGFHAAGFH", "size": 5, "moves": 6, "solution": ["C<1", "E^1", "F^1", "G^1", "H^1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BoCCCBDooEBDoFEooGFHAAGFH\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,E^1,F^1,G^1,H^1,A>3\n"]}} {"board": "BBBoCoAADCEEoDCooooooFFGG", "size": 5, "moves": 5, "solution": ["Dv1", "F<1", "G<1", "Cv2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BBBoCoAADCEEoDCooooooFFGG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,F<1,G<1,Cv2,A>2\n"]}} {"board": "AAoBCDDoBCEFFFGEoooGooHHo", "size": 5, "moves": 6, "solution": ["Ev1", "E<1", "Bv1", "Fv1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAoBCDDoBCEFFFGEoooGooHHo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,E<1,Bv1,Fv1,Bv1,A>3\n"]}} {"board": "oAABoCCoBoooDEEooDoooFFFo", "size": 5, "moves": 6, "solution": ["A<1", "D^2", "E<3", "Bv1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAABoCCoBoooDEEooDoooFFFo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<1,D^2,E<3,Bv1,Bv1,A>3\n"]}} {"board": "oooBooAABoCoDDDCEEEFooooF", "size": 5, "moves": 5, "solution": ["C^2", "D<2", "E<1", "Cv2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oooBooAABoCoDDDCEEEFooooF\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,D<2,E<1,Cv2,A>2\n"]}} {"board": "oAAoBCDooBCDooBCEEFFGGGHH", "size": 5, "moves": 5, "solution": ["C^1", "E<1", "F<1", "Cv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAAoBCDooBCDooBCEEFFGGGHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,E<1,F<1,Cv1,A>2\n"]}} {"board": "AAooBooCCBDEEFFDooooooGGo", "size": 5, "moves": 5, "solution": ["Dv1", "D<1", "E<1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAooBooCCBDEEFFDooooooGGo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,D<1,E<1,Bv1,A>3\n"]}} {"board": "oBCCCoBoooDAAEFDoGEFooGHH", "size": 5, "moves": 8, "solution": ["D^2", "A<1", "G^1", "H<3", "Ev1", "Ev1", "Ev1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oBCCCoBoooDAAEFDoGEFooGHH\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,A<1,G^1,H<3,Ev1,Ev1,Ev1,A>3\n"]}} {"board": "ooooooBoooCBDDDCooEooAAEo", "size": 5, "moves": 5, "solution": ["B^1", "C^2", "D<2", "E^1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooooooBoooCBDDDCooEooAAEo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,C^2,D<2,E^1,A>2\n"]}} {"board": "BoAACBDooCBDEoFoGEoFoGHHH", "size": 5, "moves": 6, "solution": ["D^1", "G^1", "H<1", "Gv1", "Dv1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BoAACBDooCBDEoFoGEoFoGHHH\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,G^1,H<1,Gv1,Dv1,A>1\n"]}} {"board": "AAoBoCoDBoCoDEEoFooooFGGG", "size": 5, "moves": 6, "solution": ["Cv2", "C^1", "D<3", "Bv1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAoBoCoDBoCoDEEoFooooFGGG\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,C^1,D<3,Bv1,Bv1,A>3\n"]}} {"board": "AAoBoCDDBoCoEEEooFFoGGooo", "size": 5, "moves": 5, "solution": ["A>1", "C^1", "E<2", "Cv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAoBoCDDBoCoEEEooFFoGGooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,C^1,E<2,Cv1,A>2\n"]}} {"board": "BBBooCooooCDDDEoAAFEGGoFo", "size": 5, "moves": 6, "solution": ["B>1", "C^1", "D<1", "E^1", "F^2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BBBooCooooCDDDEoAAFEGGoFo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nB>1,C^1,D<1,E^1,F^2,A>2\n"]}} {"board": "ooBBBooAACDEEoCDFFGGDHHoo", "size": 5, "moves": 5, "solution": ["D^2", "F<1", "G<1", "Dv1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooBBBooAACDEEoCDFFGGDHHoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,F<1,G<1,Dv1,A>1\n"]}} {"board": "AABCoooBCDEoFFDEGGoDoHHoo", "size": 5, "moves": 5, "solution": ["Ev1", "E<2", "Bv1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AABCoooBCDEoFFDEGGoDoHHoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,E<2,Bv1,Bv1,A>3\n"]}} {"board": "BBBCDEAACDEooFFoooGGHHHoo", "size": 5, "moves": 5, "solution": ["F<2", "G<2", "Cv2", "Cv2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BBBCDEAACDEooFFoooGGHHHoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<2,G<2,Cv2,Cv2,A>2\n"]}} {"board": "BoAACBDooCBDEFFooEooooGGo", "size": 5, "moves": 5, "solution": ["G<2", "Ev1", "E<1", "Cv1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BoAACBDooCBDEFFooEooooGGo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<2,Ev1,E<1,Cv1,A>1\n"]}} {"board": "AAooBCDEoBCDEFFCDGGoHHIIo", "size": 5, "moves": 6, "solution": ["E^1", "F<1", "Cv3", "E>1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAooBCDEoBCDEFFCDGGoHHIIo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,F<1,Cv3,E>1,Bv1,A>3\n"]}} {"board": "oooooooAABooCoBooCDDooEEE", "size": 5, "moves": 6, "solution": ["A<2", "C^1", "D<3", "Bv1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oooooooAABooCoBooCDDooEEE\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<2,C^1,D<3,Bv1,Bv1,A>3\n"]}} {"board": "BooCDBAACDooEEEoooFFGGHHH", "size": 5, "moves": 5, "solution": ["E<2", "F<2", "Cv2", "Cv2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BooCDBAACDooEEEoooFFGGHHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<2,F<2,Cv2,Cv2,A>2\n"]}} {"board": "BBBoCDAAoCDooEEDFFGGHHoII", "size": 5, "moves": 7, "solution": ["B>1", "D^1", "E<1", "F<1", "G<1", "Dv2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BBBoCDAAoCDooEEDFFGGHHoII\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nB>1,D^1,E<1,F<1,G<1,Dv2,A>2\n"]}} {"board": "ooBCDAABCDoooCoooEEooFFFo", "size": 5, "moves": 6, "solution": ["Dv2", "E<2", "Bv2", "F<1", "Bv2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooBCDAABCDoooCoooEEooFFFo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv2,E<2,Bv2,F<1,Bv2,A>3\n"]}} {"board": "ooooBooAABoCCoBDEEFFDGGHH", "size": 5, "moves": 7, "solution": ["D^2", "E<1", "F<1", "G<1", "H<1", "Bv2", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooooBooAABoCCoBDEEFFDGGHH\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,E<1,F<1,G<1,H<1,Bv2,A>1\n"]}} {"board": "AAoBCooDBCoEDBCoEDFFooGGo", "size": 5, "moves": 7, "solution": ["D^1", "E^1", "F<3", "Bv1", "Bv1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAoBCooDBCoEDBCoEDFFooGGo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E^1,F<3,Bv1,Bv1,Bv1,A>3\n"]}} {"board": "AABCDooBCDEFFGDEHHGooooII", "size": 5, "moves": 8, "solution": ["Dv1", "Ev1", "E<1", "Bv1", "I<2", "Fv1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AABCDooBCDEFFGDEHHGooooII\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,Ev1,E<1,Bv1,I<2,Fv1,Bv1,A>3\n"]}} {"board": "ooAABCDEoBCDEFFCGGoHoIIoH", "size": 5, "moves": 7, "solution": ["C^1", "G<1", "I<1", "Ev2", "E<1", "Cv1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooAABCDEoBCDEFFCGGoHoIIoH\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,G<1,I<1,Ev2,E<1,Cv1,A>1\n"]}} {"board": "oAABCooDBCooDBEFFDoEoooGG", "size": 5, "moves": 5, "solution": ["Bv1", "G<1", "Ev1", "Bv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAABCooDBCooDBEFFDoEoooGG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,G<1,Ev1,Bv1,A>2\n"]}} {"board": "AAooBCDooBCDEEECFFoGoHHoG", "size": 5, "moves": 5, "solution": ["A>2", "D^1", "E<1", "Cv1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAooBCDooBCDEEECFFoGoHHoG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,D^1,E<1,Cv1,A>1\n"]}} {"board": "BCCCoBooDoAAoDooEEFFGGGHH", "size": 5, "moves": 5, "solution": ["A>1", "Bv1", "B<1", "D^1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BCCCoBooDoAAoDooEEFFGGGHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,Bv1,B<1,D^1,A>2\n"]}} {"board": "oBAACDBooCDEEFFGGGooHHIII", "size": 5, "moves": 5, "solution": ["D^1", "E<1", "F<1", "Dv1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oBAACDBooCDEEFFGGGooHHIII\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E<1,F<1,Dv1,A>1\n"]}} {"board": "BBBoCooAACoDDoCEooooEFFGG", "size": 5, "moves": 5, "solution": ["E^1", "F<1", "G<1", "Cv2", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BBBoCooAACoDDoCEooooEFFGG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,F<1,G<1,Cv2,A>1\n"]}} {"board": "BBBoCoAADCEFFDCEGGGooHHoo", "size": 5, "moves": 5, "solution": ["Cv2", "D^1", "G<1", "Dv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BBBoCoAADCEFFDCEGGGooHHoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,D^1,G<1,Dv1,A>2\n"]}} {"board": "AAoBCDooBCDoEEFDGGHFoooHo", "size": 5, "moves": 5, "solution": ["E<1", "Bv1", "Fv1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAoBCDooBCDoEEFDGGHFoooHo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv1,Fv1,Bv1,A>3\n"]}} {"board": "BBBoCDEAACDEooCDFFGGoooHH", "size": 5, "moves": 7, "solution": ["B>1", "D^1", "F<1", "G<1", "H<1", "Dv2", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BBBoCDEAACDEooCDFFGGoooHH\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nB>1,D^1,F<1,G<1,H<1,Dv2,A>1\n"]}} {"board": "AAoBCDooBCDoEEEoooFFGGHHH", "size": 5, "moves": 6, "solution": ["A>1", "D^1", "E<2", "Cv1", "Cv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAoBCDooBCDoEEEoooFFGGHHH\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,D^1,E<2,Cv1,Cv1,A>2\n"]}} {"board": "oBooCDBAACDBEECFFoGGoHHII", "size": 5, "moves": 5, "solution": ["G<1", "H<1", "I<1", "Cv2", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oBooCDBAACDBEECFFoGGoHHII\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,H<1,I<1,Cv2,A>1\n"]}} {"board": "ooAABooCCBDDEoBFFEGGoHHoo", "size": 5, "moves": 5, "solution": ["C<2", "E^1", "G<1", "Bv1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooAABooCCBDDEoBFFEGGoHHoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,E^1,G<1,Bv1,A>1\n"]}} {"board": "oAABCDoEBCDoEBoDFoGGoFoHH", "size": 5, "moves": 5, "solution": ["Cv1", "F^2", "G<2", "Bv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAABCDoEBCDoEBoDFoGGoFoHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,F^2,G<2,Bv1,A>2\n"]}} {"board": "BooooBCDDDECooFEAAoFoGGGF", "size": 5, "moves": 5, "solution": ["A>1", "Cv1", "C<1", "F^2", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BooooBCDDDECooFEAAoFoGGGF\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,Cv1,C<1,F^2,A>1\n"]}} {"board": "AABCDooBCDooBEooFFEGoHHoG", "size": 5, "moves": 6, "solution": ["Dv1", "Ev1", "Cv1", "E<1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AABCDooBCDooBEooFFEGoHHoG\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,Ev1,Cv1,E<1,Bv1,A>3\n"]}} {"board": "oAAoBooCoBoDCEFoDCEFoGGHH", "size": 5, "moves": 5, "solution": ["G<1", "H<1", "Fv1", "Bv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAAoBooCoBoDCEFoDCEFoGGHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,H<1,Fv1,Bv1,A>2\n"]}} {"board": "ooBBBCDEoFCDEGFoDEGHAAoGH", "size": 5, "moves": 5, "solution": ["B<1", "F^1", "G^1", "H^1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooBBBCDEoFCDEGFoDEGHAAoGH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,F^1,G^1,H^1,A>3\n"]}} {"board": "ooBCoAABCDEEooDoooFFGGoHH", "size": 5, "moves": 5, "solution": ["F<3", "Bv2", "Bv2", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooBCoAABCDEEooDoooFFGGoHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<3,Bv2,Bv2,Bv1,A>3\n"]}} {"board": "BAAoCBDDoCoEEoCFGHHHFGoII", "size": 5, "moves": 6, "solution": ["D>1", "E>1", "G^2", "H<1", "Cv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BAAoCBDDoCoEEoCFGHHHFGoII\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nD>1,E>1,G^2,H<1,Cv1,A>2\n"]}} {"board": "BAACDBEFCDGEFHoGooHoGooII", "size": 5, "moves": 5, "solution": ["Dv1", "I<2", "Hv1", "Cv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BAACDBEFCDGEFHoGooHoGooII\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,I<2,Hv1,Cv1,A>2\n"]}} {"board": "AABoCDDBoCEFFGHEooGHooIIo", "size": 5, "moves": 6, "solution": ["Ev1", "E<1", "Bv1", "Gv1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AABoCDDBoCEFFGHEooGHooIIo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,E<1,Bv1,Gv1,Bv1,A>3\n"]}} {"board": "ooBBBoCDoEoCDFEooDFGoAAFG", "size": 5, "moves": 5, "solution": ["B<1", "E^1", "F^1", "G^1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooBBBoCDoEoCDFEooDFGoAAFG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,E^1,F^1,G^1,A>2\n"]}} {"board": "AABCoDDBCoEoBoFEGGoFHHHoo", "size": 5, "moves": 5, "solution": ["Cv1", "F^1", "G>2", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AABCoDDBCoEoBoFEGGoFHHHoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,F^1,G>2,Bv1,A>3\n"]}} {"board": "oBBBCoAAoCoDDoCoEFFFoEGGo", "size": 5, "moves": 6, "solution": ["A>1", "D>1", "E^2", "F<1", "Cv2", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oBBBCoAAoCoDDoCoEFFFoEGGo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,D>1,E^2,F<1,Cv2,A>1\n"]}} {"board": "ooooBoAAoBCoDDDCEEFFooGGG", "size": 5, "moves": 6, "solution": ["C^1", "D<1", "E<1", "F<1", "Bv2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooooBoAAoBCoDDDCEEFFooGGG\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D<1,E<1,F<1,Bv2,A>2\n"]}} {"board": "BAACDBooCDEoFFFEGGGooHHoo", "size": 5, "moves": 5, "solution": ["Ev1", "E<2", "Cv1", "Cv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BAACDBooCDEoFFFEGGGooHHoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,E<2,Cv1,Cv1,A>2\n"]}} {"board": "AABCoDoBCEDFFoEoGoHHoGIII", "size": 5, "moves": 5, "solution": ["Cv1", "Cv2", "E<1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AABCoDoBCEDFFoEoGoHHoGIII\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Cv2,E<1,Bv1,A>3\n"]}} {"board": "AABoCDoBECDFGEHDFGoHoIIoo", "size": 5, "moves": 6, "solution": ["Hv1", "Cv1", "I<1", "Gv1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AABoCDoBECDFGEHDFGoHoIIoo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nHv1,Cv1,I<1,Gv1,Bv1,A>3\n"]}} {"board": "ooAABCCDoBEoDFFEGHHooGooo", "size": 5, "moves": 5, "solution": ["H>1", "Dv2", "E<1", "Bv1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooAABCCDoBEoDFFEGHHooGooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nH>1,Dv2,E<1,Bv1,A>1\n"]}} {"board": "oAABCoDoBCoDooCEoFGGEoFoo", "size": 5, "moves": 5, "solution": ["Bv1", "F^2", "G<1", "Bv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAABCoDoBCoDooCEoFGGEoFoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,F^2,G<1,Bv1,A>2\n"]}} {"board": "oAAoBCDEEBCDFFFGGHIoJJHIo", "size": 5, "moves": 5, "solution": ["A>1", "D^1", "F<1", "Cv1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAAoBCDEEBCDFFFGGHIoJJHIo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,D^1,F<1,Cv1,A>1\n"]}} {"board": "AABoCooBoCoDDEEoFFFoGGGoo", "size": 5, "moves": 6, "solution": ["D<1", "E<1", "Cv3", "D>1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AABoCooBoCoDDEEoFFFoGGGoo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,E<1,Cv3,D>1,Bv1,A>3\n"]}} {"board": "AAoBooooBCooDECFoDECFGGGo", "size": 5, "moves": 5, "solution": ["F^1", "G<1", "Fv1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAoBooooBCooDECFoDECFGGGo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,G<1,Fv1,Bv1,A>3\n"]}} {"board": "oAABCDDDBCEoFFFEGGGoHHIIo", "size": 5, "moves": 7, "solution": ["I>1", "H>1", "Ev1", "E<2", "Bv1", "Bv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAABCDDDBCEoFFFEGGGoHHIIo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nI>1,H>1,Ev1,E<2,Bv1,Bv1,A>2\n"]}} {"board": "BBBoCAAooCDDDooEFFGGEHHII", "size": 5, "moves": 7, "solution": ["A>1", "D>1", "E^2", "F<1", "G<1", "Cv2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BBBoCAAooCDDDooEFFGGEHHII\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,D>1,E^2,F<1,G<1,Cv2,A>2\n"]}} {"board": "AAoBCDEoBCDEFoGDEFoGHHoII", "size": 5, "moves": 5, "solution": ["Bv1", "I<1", "Gv1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAoBCDEoBCDEFoGDEFoGHHoII\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,I<1,Gv1,Bv1,A>3\n"]}} {"board": "AAoBoCooBDCEEBDCFFFDooGGG", "size": 5, "moves": 5, "solution": ["A>1", "C^1", "F<1", "Cv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAoBoCooBDCEEBDCFFFDooGGG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,C^1,F<1,Cv1,A>2\n"]}} {"board": "BBBoCAAooCDEFFFDEoooGGGoo", "size": 5, "moves": 5, "solution": ["G>2", "Ev1", "E<1", "Cv2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BBBoCAAooCDEFFFDEoooGGGoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nG>2,Ev1,E<1,Cv2,A>3\n"]}} {"board": "AAooBooCCBoDEFFoDEooGGGoo", "size": 5, "moves": 7, "solution": ["C<2", "E^2", "F<1", "Cv3", "E>1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAooBooCCBoDEFFoDEooGGGoo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,E^2,F<1,Cv3,E>1,Bv1,A>3\n"]}} {"board": "ooAABooooBCDDEECooFFoooGG", "size": 5, "moves": 5, "solution": ["C^2", "D<1", "E<1", "Cv1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooAABooooBCDDEECooFFoooGG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,D<1,E<1,Cv1,A>1\n"]}} {"board": "ooAABCDDDBCEEFFoooGGHHHoo", "size": 5, "moves": 5, "solution": ["C^1", "E<1", "F<1", "Cv1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooAABCDDDBCEEFFoooGGHHHoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,E<1,F<1,Cv1,A>1\n"]}} {"board": "oBBBoAAoCDEooCDEoFFDoGGHH", "size": 5, "moves": 6, "solution": ["F<1", "Cv1", "G<1", "H<1", "Cv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oBBBoAAoCDEooCDEoFFDoGGHH\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Cv1,G<1,H<1,Cv1,A>3\n"]}} {"board": "AAoBCoooBCDEoBFDEGGFHHIIo", "size": 5, "moves": 6, "solution": ["E^1", "Fv1", "Cv1", "F<1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAoBCoooBCDEoBFDEGGFHHIIo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,Fv1,Cv1,F<1,Bv1,A>3\n"]}} {"board": "BBBooCoDDDCooEFoAAEFoooEo", "size": 5, "moves": 5, "solution": ["Cv1", "C<2", "E^2", "F^1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BBBooCoDDDCooEFoAAEFoooEo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,C<2,E^2,F^1,A>2\n"]}} {"board": "BAACoBDoCEBDFFEGHHoEGoIIo", "size": 5, "moves": 5, "solution": ["H>1", "Dv2", "E<1", "Cv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BAACoBDoCEBDFFEGHHoEGoIIo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nH>1,Dv2,E<1,Cv1,A>2\n"]}} {"board": "oAABCDDoBCEoFoCEoFGGoooHH", "size": 5, "moves": 5, "solution": ["Bv1", "F^1", "G<1", "Bv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAABCDDoBCEoFoCEoFGGoooHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,F^1,G<1,Bv1,A>2\n"]}} {"board": "AABooooBoCDEEoCDFGGGDFooo", "size": 5, "moves": 7, "solution": ["E>1", "F^2", "G<1", "Dv2", "E>1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AABooooBoCDEEoCDFGGGDFooo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nE>1,F^2,G<1,Dv2,E>1,Bv1,A>3\n"]}} {"board": "BAACDBooCDoEEFoGooFoGoHHH", "size": 5, "moves": 6, "solution": ["Dv1", "G^1", "H<2", "Gv1", "Cv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BAACDBooCDoEEFoGooFoGoHHH\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,G^1,H<2,Gv1,Cv1,A>2\n"]}} {"board": "oBBBoAAoCoDEECoDoFFFDGGoo", "size": 5, "moves": 5, "solution": ["A>1", "D^2", "F<2", "Dv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oBBBoAAoCoDEECoDoFFFDGGoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,D^2,F<2,Dv1,A>2\n"]}} {"board": "oBAACoBDoCoBDEEFFoGooHHGo", "size": 5, "moves": 5, "solution": ["H<1", "Dv2", "D<1", "Cv1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oBAACoBDoCoBDEEFFoGooHHGo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nH<1,Dv2,D<1,Cv1,A>1\n"]}} {"board": "BAACDBoECDoFEGHIFoGHIFJJo", "size": 5, "moves": 7, "solution": ["F^1", "Hv1", "Dv1", "J<1", "Gv1", "Cv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BAACDBoECDoFEGHIFoGHIFJJo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,Hv1,Dv1,J<1,Gv1,Cv1,A>2\n"]}} {"board": "BoAACBDooCBDEFFoDEooGGGoo", "size": 5, "moves": 8, "solution": ["Bv1", "A<2", "E^2", "F<1", "Cv3", "E>1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BoAACBDooCBDEFFoDEooGGGoo\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A<2,E^2,F<1,Cv3,E>1,Bv1,A>3\n"]}} {"board": "AABooCoBoDCoEEDCooFFooGGG", "size": 5, "moves": 6, "solution": ["F<1", "G<1", "Dv2", "D>1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AABooCoBoDCoEEDCooFFooGGG\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,G<1,Dv2,D>1,Bv1,A>3\n"]}} {"board": "BooooBAACDBEECDoFFFDoGGHH", "size": 5, "moves": 6, "solution": ["F<1", "Cv1", "G<1", "H<1", "Cv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BooooBAACDBEECDoFFFDoGGHH\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Cv1,G<1,H<1,Cv1,A>2\n"]}} {"board": "AAoBCDDoBCEoFGoEoFGoooHHo", "size": 5, "moves": 5, "solution": ["Cv1", "H<1", "Gv1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAoBCDDoBCEoFGoEoFGoooHHo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,H<1,Gv1,Bv1,A>3\n"]}} {"board": "AAoBooCCBDoEFFDGEHHHGIIoo", "size": 5, "moves": 5, "solution": ["I>1", "Ev1", "E<1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAoBooCCBDoEFFDGEHHHGIIoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nI>1,Ev1,E<1,Bv1,A>3\n"]}} {"board": "ooAABooCDBoECDFGEHDFGEHII", "size": 5, "moves": 11, "solution": ["A<2", "C^1", "E^1", "G^1", "H^1", "I<3", "Gv1", "Bv1", "Gv1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooAABooCDBoECDFGEHDFGEHII\nOptimal length (moves): 11\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<2,C^1,E^1,G^1,H^1,I<3,Gv1,Bv1,Gv1,Bv1,A>3\n"]}} {"board": "AABCDEoBCDEoBCFoGHHFoGIIo", "size": 5, "moves": 7, "solution": ["Fv1", "Dv1", "F^2", "G<2", "Bv1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AABCDEoBCDEoBCFoGHHFoGIIo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nFv1,Dv1,F^2,G<2,Bv1,Bv1,A>3\n"]}} {"board": "oAABCDDDBCoEFFooEoooooooo", "size": 5, "moves": 5, "solution": ["Cv1", "Ev1", "E<1", "Bv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAABCDDDBCoEFFooEoooooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Ev1,E<1,Bv1,A>2\n"]}} {"board": "oBBBooCAADoCEEDoCFFFGGooo", "size": 5, "moves": 5, "solution": ["B>1", "C^1", "F<1", "Dv1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oBBBooCAADoCEEDoCFFFGGooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB>1,C^1,F<1,Dv1,A>1\n"]}} {"board": "AAoBoCooBoCoDDDooEooFFEGG", "size": 5, "moves": 5, "solution": ["A>1", "C^1", "D<2", "Cv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAoBoCooBoCoDDDooEooFFEGG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,C^1,D<2,Cv1,A>2\n"]}} {"board": "BoAACBoDDCooooCooEFFooEoo", "size": 5, "moves": 6, "solution": ["Bv2", "C<2", "E^2", "F<1", "Bv1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BoAACBoDDCooooCooEFFooEoo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,C<2,E^2,F<1,Bv1,A>1\n"]}} {"board": "oBBBCDEEECDoAAFGHHoFGIIJJ", "size": 5, "moves": 6, "solution": ["D^1", "G^1", "I<1", "J<1", "Gv1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oBBBCDEEECDoAAFGHHoFGIIJJ\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,G^1,I<1,J<1,Gv1,A>1\n"]}} {"board": "AAooBoCCDBEFFDBEGGHHooIII", "size": 5, "moves": 5, "solution": ["E^1", "G<1", "H<1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAooBoCCDBEFFDBEGGHHooIII\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,G<1,H<1,Bv1,A>3\n"]}} {"board": "AAooBooCCBDDEFFGGEooooHHH", "size": 5, "moves": 8, "solution": ["C<2", "E^2", "F<1", "H<1", "Cv3", "E>1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAooBooCCBDDEFFGGEooooHHH\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,E^2,F<1,H<1,Cv3,E>1,Bv1,A>3\n"]}} {"board": "BAACoBDDCEBoFCEooFGGoooHH", "size": 5, "moves": 6, "solution": ["Bv2", "C<1", "F^1", "G<2", "Bv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BAACoBDDCEBoFCEooFGGoooHH\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,C<1,F^1,G<2,Bv1,A>2\n"]}} {"board": "oAAoBCoDDBCEEFFGGGooooHHH", "size": 5, "moves": 5, "solution": ["C^1", "E<1", "F<1", "Cv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAAoBCoDDBCEEFFGGGooooHHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,E<1,F<1,Cv1,A>2\n"]}} {"board": "AAoBCDDoBCEEEoFGHooFGHoII", "size": 5, "moves": 5, "solution": ["Bv1", "I<1", "Fv1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAoBCDDoBCEEEoFGHooFGHoII\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,I<1,Fv1,Bv1,A>3\n"]}} {"board": "AAooBCCooBDEFoGDEFoGHHFII", "size": 5, "moves": 5, "solution": ["F^1", "I<1", "Gv1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAooBCCooBDEFoGDEFoGHHFII\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,I<1,Gv1,Bv1,A>3\n"]}} {"board": "oooBCDAABCDoEECFooooFooGG", "size": 5, "moves": 5, "solution": ["E<1", "Bv2", "G<1", "Bv2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oooBCDAABCDoEECFooooFooGG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv2,G<1,Bv2,A>2\n"]}} {"board": "oooBCAAoBCDDoooEoFFFEGGHH", "size": 5, "moves": 7, "solution": ["A>1", "D>1", "E^2", "F<2", "Bv2", "Bv2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oooBCAAoBCDDoooEoFFFEGGHH\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,D>1,E^2,F<2,Bv2,Bv2,A>2\n"]}} {"board": "BAACDBEECDFGoHIFGoHIooJJo", "size": 5, "moves": 6, "solution": ["Iv1", "Dv1", "J<1", "Hv1", "Cv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BAACDBEECDFGoHIFGoHIooJJo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nIv1,Dv1,J<1,Hv1,Cv1,A>2\n"]}} {"board": "BCCCDBEEEDoooFoAAoFoGGooo", "size": 5, "moves": 5, "solution": ["A>1", "Bv2", "D<1", "F^1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BCCCDBEEEDoooFoAAoFoGGooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,Bv2,D<1,F^1,A>2\n"]}} {"board": "AABCooDBCooDoEEoFFFoooooo", "size": 5, "moves": 6, "solution": ["F>1", "Dv2", "D<3", "Bv1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AABCooDBCooDoEEoFFFoooooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nF>1,Dv2,D<3,Bv1,Bv1,A>3\n"]}} {"board": "ooAABCoDDBCEEFFGGoHHoIIIo", "size": 5, "moves": 5, "solution": ["C^1", "E<1", "F<1", "Cv1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooAABCoDDBCEEFFGGoHHoIIIo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,E<1,F<1,Cv1,A>1\n"]}} {"board": "BAAoCBDDECoFoECoFGHHoFGII", "size": 5, "moves": 6, "solution": ["Bv2", "C<1", "G^2", "H<1", "Bv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BAAoCBDDECoFoECoFGHHoFGII\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,C<1,G^2,H<1,Bv1,A>2\n"]}} {"board": "oAABCoooBCDEEBCDFFFoDGGoo", "size": 5, "moves": 5, "solution": ["Cv1", "D^2", "F<1", "Cv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAABCoooBCDEEBCDFFFoDGGoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,D^2,F<1,Cv1,A>2\n"]}} {"board": "oAABCDDDBCoEEFoGooFoGoHHo", "size": 5, "moves": 5, "solution": ["Cv1", "H<1", "Fv1", "Bv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAABCDDDBCoEEFoGooFoGoHHo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,H<1,Fv1,Bv1,A>2\n"]}} {"board": "BBBCDoAACDoEEEDooFFoooooo", "size": 5, "moves": 5, "solution": ["Dv2", "D<1", "F<1", "Cv2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BBBCDoAACDoEEEDooFFoooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv2,D<1,F<1,Cv2,A>2\n"]}} {"board": "ooBBBCooDECFGDECFGDHAAGoH", "size": 5, "moves": 5, "solution": ["B<1", "E^1", "G^1", "H^1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooBBBCooDECFGDECFGDHAAGoH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,E^1,G^1,H^1,A>3\n"]}} {"board": "AABCDooBCDEEoFoGGHFIJJHoI", "size": 5, "moves": 5, "solution": ["Bv1", "Cv1", "Fv1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AABCDooBCDEEoFoGGHFIJJHoI\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Cv1,Fv1,Bv1,A>3\n"]}} {"board": "AAoBCDEEBCDoFFGDooHGIIoHo", "size": 5, "moves": 5, "solution": ["F<1", "Bv1", "Gv1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAoBCDEEBCDoFFGDooHGIIoHo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Bv1,Gv1,Bv1,A>3\n"]}} {"board": "oAAoBCooDBCEEDBCFFGGooHHH", "size": 5, "moves": 5, "solution": ["C^1", "F<1", "G<1", "Cv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAAoBCooDBCEEDBCFFGGooHHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,F<1,G<1,Cv1,A>2\n"]}} {"board": "oAAoBoCooBDCEEEDFFFoooooo", "size": 5, "moves": 5, "solution": ["A>1", "C^1", "E<1", "Cv1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAAoBoCooBDCEEEDFFFoooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,C^1,E<1,Cv1,A>1\n"]}} {"board": "oBBBCoDAACoDEEooDFFFooooo", "size": 5, "moves": 6, "solution": ["Cv1", "B>1", "C^1", "F<1", "Dv1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oBBBCoDAACoDEEooDFFFooooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,B>1,C^1,F<1,Dv1,A>1\n"]}} {"board": "oBBBCAAooCDoEoCDFEoooFEGG", "size": 5, "moves": 6, "solution": ["E^1", "F^1", "G<3", "Cv2", "Cv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oBBBCAAooCDoEoCDFEoooFEGG\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,F^1,G<3,Cv2,Cv1,A>3\n"]}} {"board": "BBBCDAAoCDooEEDoFFFooGGGo", "size": 5, "moves": 5, "solution": ["Dv2", "D<1", "F<1", "Cv2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BBBCDAAoCDooEEDoFFFooGGGo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv2,D<1,F<1,Cv2,A>3\n"]}} {"board": "AAooBCoDDBCEEoBCFFGGoHHoo", "size": 5, "moves": 6, "solution": ["A>1", "C^1", "F<1", "G<1", "Cv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAooBCoDDBCEEoBCFFGGoHHoo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,C^1,F<1,G<1,Cv1,A>2\n"]}} {"board": "BAACDBEECDBooFGHHoFGIIIoo", "size": 5, "moves": 5, "solution": ["Fv1", "Cv1", "Fv1", "Cv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BAACDBEECDBooFGHHoFGIIIoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nFv1,Cv1,Fv1,Cv1,A>2\n"]}} {"board": "ooBCoAABCoDDoCEoFFoEooGGo", "size": 5, "moves": 5, "solution": ["F<1", "Bv2", "G<1", "Bv2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooBCoAABCoDDoCEoFFoEooGGo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Bv2,G<1,Bv2,A>3\n"]}} {"board": "BBBooCAAoDCEFFDoEooDoEGGG", "size": 5, "moves": 5, "solution": ["A>1", "E^1", "G<1", "Ev1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BBBooCAAoDCEFFDoEooDoEGGG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,E^1,G<1,Ev1,A>1\n"]}} {"board": "oAAoBooooBCDDEECFFGGHHIII", "size": 5, "moves": 5, "solution": ["C^2", "D<1", "E<1", "Cv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAAoBooooBCDDEECFFGGHHIII\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,D<1,E<1,Cv1,A>2\n"]}} {"board": "oAAoBCoDDBCEEFFGGHHHIIIoo", "size": 5, "moves": 5, "solution": ["C^1", "E<1", "F<1", "Cv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAAoBCoDDBCEEFFGGHHHIIIoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,E<1,F<1,Cv1,A>2\n"]}} {"board": "AABCoooBCooDoCooDoEEFFFoo", "size": 5, "moves": 5, "solution": ["Bv1", "D^1", "E<2", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AABCoooBCooDoCooDoEEFFFoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,D^1,E<2,Bv1,A>3\n"]}} {"board": "BAACoBDoCEoDFFEGGoooooooo", "size": 5, "moves": 5, "solution": ["G>2", "Dv2", "E<1", "Cv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BAACoBDoCEoDFFEGGoooooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nG>2,Dv2,E<1,Cv1,A>2\n"]}} {"board": "BCDDDBCEFoooEFGAAoFGooooG", "size": 5, "moves": 6, "solution": ["Bv1", "Bv1", "B<2", "F^1", "G^2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BCDDDBCEFoooEFGAAoFGooooG\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,B<2,F^1,G^2,A>3\n"]}} {"board": "AAoBoCCoBooDDBoEFFFGEoooG", "size": 5, "moves": 5, "solution": ["C>1", "E^2", "F<1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAoBoCCoBooDDBoEFFFGEoooG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC>1,E^2,F<1,Bv1,A>3\n"]}} {"board": "BoCCCBDDDEBAAFEoGoFooGHHo", "size": 5, "moves": 6, "solution": ["Bv2", "B<2", "C<1", "D^1", "F^2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BoCCCBDDDEBAAFEoGoFooGHHo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,B<2,C<1,D^1,F^2,A>2\n"]}} {"board": "oAABooCCBoooDEoFFDEoooDGG", "size": 5, "moves": 6, "solution": ["C<1", "D^1", "G<2", "Ev1", "Bv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAABooCCBoooDEoFFDEoooDGG\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,D^1,G<2,Ev1,Bv1,A>2\n"]}} {"board": "AAoBoCDDBECFFFEGGHIJooHIJ", "size": 5, "moves": 5, "solution": ["A>1", "C^1", "F<1", "Cv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAoBoCDDBECFFFEGGHIJooHIJ\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,C^1,F<1,Cv1,A>2\n"]}} {"board": "BCAADBCEEDBFGGGoFoHHoIIIo", "size": 5, "moves": 5, "solution": ["I>1", "Fv1", "F<1", "Dv1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BCAADBCEEDBFGGGoFoHHoIIIo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nI>1,Fv1,F<1,Dv1,A>1\n"]}} {"board": "oAABCoDDBCoEEBFooGGFoHHoo", "size": 5, "moves": 5, "solution": ["Fv1", "Cv1", "F<1", "Bv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAABCoDDBCoEEBFooGGFoHHoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nFv1,Cv1,F<1,Bv1,A>2\n"]}} {"board": "AAoBoCDoBoCDoBECFFFEGGooo", "size": 5, "moves": 5, "solution": ["A>1", "C^1", "F<1", "Cv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAoBoCDoBoCDoBECFFFEGGooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,C^1,F<1,Cv1,A>2\n"]}} {"board": "AABoCDDBoCEEoFFGGoHooIIHo", "size": 5, "moves": 5, "solution": ["F<1", "Cv3", "E>1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AABoCDDBoCEEoFFGGoHooIIHo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Cv3,E>1,Bv1,A>3\n"]}} {"board": "oAAoBooCoBDDCEEFGGooFoHHH", "size": 5, "moves": 8, "solution": ["A<1", "C^1", "E<1", "H<1", "Cv3", "D>1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAAoBooCoBDDCEEFGGooFoHHH\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<1,C^1,E<1,H<1,Cv3,D>1,Bv1,A>3\n"]}} {"board": "BAACDBooCDBEECFoGGGFooooo", "size": 5, "moves": 5, "solution": ["Fv1", "Dv1", "F<1", "Cv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BAACDBooCDBEECFoGGGFooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nFv1,Dv1,F<1,Cv1,A>2\n"]}} {"board": "AAoBooCoBooCDDoEFFFGEHHHG", "size": 5, "moves": 7, "solution": ["G^2", "G>1", "H>1", "Cv2", "D<1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAoBooCoBooCDDoEFFFGEHHHG\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nG^2,G>1,H>1,Cv2,D<1,Bv1,A>3\n"]}} {"board": "AAoBoCooBDCEEEDFooooFoooo", "size": 5, "moves": 5, "solution": ["A>1", "C^1", "E<1", "Cv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAoBoCooBDCEEEDFooooFoooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,C^1,E<1,Cv1,A>2\n"]}} {"board": "AABCoDDBCoooECoFoEooFGGoo", "size": 5, "moves": 5, "solution": ["Cv1", "G>2", "Ev1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AABCoDDBCoooECoFoEooFGGoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,G>2,Ev1,Bv1,A>3\n"]}} {"board": "oAABCoDDBCEFFoGEHHoGoooII", "size": 5, "moves": 5, "solution": ["Bv1", "I<1", "Gv1", "Bv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAABCoDDBCEFFoGEHHoGoooII\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,I<1,Gv1,Bv1,A>2\n"]}} {"board": "AAoBCDDEBCFFEGCoHHGooIIIo", "size": 5, "moves": 5, "solution": ["Cv1", "I<1", "Gv1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAoBCDDEBCFFEGCoHHGooIIIo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,I<1,Gv1,Bv1,A>3\n"]}} {"board": "BCCCDBooEDoAAEFGGoHFIIIHo", "size": 5, "moves": 5, "solution": ["Bv1", "B<1", "E^1", "Fv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BCCCDBooEDoAAEFGGoHFIIIHo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,B<1,E^1,Fv1,A>2\n"]}} {"board": "AABCoDoBCoDEEooFFooooooGG", "size": 5, "moves": 5, "solution": ["E>2", "Bv3", "D<2", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AABCoDoBCoDEEooFFooooooGG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE>2,Bv3,D<2,Bv1,A>3\n"]}} {"board": "BooCDBAACDEEooDFoGGoFooHH", "size": 5, "moves": 5, "solution": ["G<1", "Cv2", "H<1", "Cv2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BooCDBAACDEEooDFoGGoFooHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,Cv2,H<1,Cv2,A>2\n"]}} {"board": "BAACDBooCDEEFCoooFGGoHHHo", "size": 5, "moves": 5, "solution": ["Dv1", "F^1", "G<2", "Cv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BAACDBooCDEEFCoooFGGoHHHo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,F^1,G<2,Cv1,A>2\n"]}} {"board": "ooAABoCCCBDoEEBDFFGGDoooo", "size": 5, "moves": 5, "solution": ["D^2", "F<1", "G<1", "Cv1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooAABoCCCBDoEEBDFFGGDoooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,F<1,G<1,Cv1,A>1\n"]}} {"board": "AABCDEEBCDoFBGoHFoGIHFooI", "size": 5, "moves": 5, "solution": ["Bv1", "Cv1", "Gv1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AABCDEEBCDoFBGoHFoGIHFooI\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Cv1,Gv1,Bv1,A>3\n"]}} {"board": "oBAACDBEoCDBEFFGoHHoGoIII", "size": 5, "moves": 9, "solution": ["Bv1", "A<2", "E^1", "F<1", "I<1", "Cv3", "E>1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oBAACDBEoCDBEFFGoHHoGoIII\nOptimal length (moves): 9\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A<2,E^1,F<1,I<1,Cv3,E>1,Bv1,A>3\n"]}} {"board": "BAACDBooCDoEFGDoEFGoooFHH", "size": 5, "moves": 6, "solution": ["Dv1", "F^1", "H<2", "Gv1", "Cv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BAACDBooCDoEFGDoEFGoooFHH\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,F^1,H<2,Gv1,Cv1,A>2\n"]}} {"board": "ooBCDAABCDEEoCooooFFooGGG", "size": 5, "moves": 6, "solution": ["F<3", "Bv2", "Cv2", "G<2", "Bv2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooBCDAABCDEEoCooooFFooGGG\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<3,Bv2,Cv2,G<2,Bv2,A>3\n"]}} {"board": "AAoBooooBCoDoECFDoEoFDoGG", "size": 5, "moves": 5, "solution": ["D^1", "G<2", "Ev1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAoBooooBCoDoECFDoEoFDoGG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,G<2,Ev1,Bv1,A>3\n"]}} {"board": "ooAABCCDDBEEFFGoHHHGoIIJJ", "size": 5, "moves": 5, "solution": ["I<1", "J<1", "Gv1", "Bv1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooAABCCDDBEEFFGoHHHGoIIJJ\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nI<1,J<1,Gv1,Bv1,A>1\n"]}} {"board": "BBBCoAADCEooDCEooFFooGGGo", "size": 5, "moves": 6, "solution": ["Ev1", "F<2", "Dv1", "G<1", "Cv2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BBBCoAADCEooDCEooFFooGGGo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,F<2,Dv1,G<1,Cv2,A>3\n"]}} {"board": "AAooBCDDDBCEEFFGHHooGoIII", "size": 5, "moves": 6, "solution": ["A>1", "C^1", "E<1", "F<1", "Cv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAooBCDDDBCEEFFGHHooGoIII\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,C^1,E<1,F<1,Cv1,A>2\n"]}} {"board": "oAABCoDEBCoDEoCoDFFFoGGoo", "size": 5, "moves": 6, "solution": ["Bv1", "A>1", "C^1", "F<1", "Cv1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAABCoDEBCoDEoCoDFFFoGGoo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>1,C^1,F<1,Cv1,A>1\n"]}} {"board": "BoAACBDDECFooEGFoHHGoIIJJ", "size": 5, "moves": 5, "solution": ["I<1", "J<1", "Gv1", "Cv1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BoAACBDDECFooEGFoHHGoIIJJ\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nI<1,J<1,Gv1,Cv1,A>1\n"]}} {"board": "oAABCDDEBCoFEGGHFIIoHoJJo", "size": 5, "moves": 8, "solution": ["A<1", "E^1", "Fv1", "F<3", "Bv1", "Bv1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAABCDDEBCoFEGGHFIIoHoJJo\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<1,E^1,Fv1,F<3,Bv1,Bv1,Bv1,A>3\n"]}} {"board": "oooooBCDDDBCooEAAooEoooFF", "size": 5, "moves": 5, "solution": ["A>2", "Cv1", "C<1", "E^1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oooooBCDDDBCooEAAooEoooFF\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,Cv1,C<1,E^1,A>1\n"]}} {"board": "oAABCDDDBCoEoFGoEoFGoHHoo", "size": 5, "moves": 5, "solution": ["Fv1", "Bv1", "Fv1", "Bv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAABCDDDBCoEoFGoEoFGoHHoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nFv1,Bv1,Fv1,Bv1,A>2\n"]}} {"board": "ooooBCAAoBCDEEooDFFFGGGoo", "size": 5, "moves": 5, "solution": ["A>1", "D^1", "F<1", "Bv2", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooooBCAAoBCDEEooDFFFGGGoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,D^1,F<1,Bv2,A>1\n"]}} {"board": "AABCoDDBCEFGGCEFoooHIIooH", "size": 5, "moves": 6, "solution": ["Cv1", "I>1", "Fv1", "F<1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AABCoDDBCEFGGCEFoooHIIooH\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,I>1,Fv1,F<1,Bv1,A>3\n"]}} {"board": "oAABCooDBCEEDFGoHHFGIIooo", "size": 5, "moves": 5, "solution": ["Fv1", "Bv1", "Fv1", "Bv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAABCooDBCEEDFGoHHFGIIooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nFv1,Bv1,Fv1,Bv1,A>2\n"]}} {"board": "oAAoBoCCDBEooDFEGHDFoGHII", "size": 5, "moves": 5, "solution": ["H^1", "I<1", "Gv1", "Bv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAAoBoCCDBEooDFEGHDFoGHII\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nH^1,I<1,Gv1,Bv1,A>2\n"]}} {"board": "BAACDBooCDooECDFoEGGFHHHo", "size": 5, "moves": 5, "solution": ["E^1", "G<2", "Cv1", "Cv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BAACDBooCDooECDFoEGGFHHHo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,G<2,Cv1,Cv1,A>2\n"]}} {"board": "BCDDDBCEFoBCEFGAAooGooHHG", "size": 5, "moves": 5, "solution": ["A>2", "Cv1", "C<1", "G^2", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BCDDDBCEFoBCEFGAAooGooHHG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,Cv1,C<1,G^2,A>1\n"]}} {"board": "BAACDBoECDFGECDFGoHHIIJJJ", "size": 5, "moves": 5, "solution": ["G^1", "H<2", "Cv1", "Cv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BAACDBoECDFGECDFGoHHIIJJJ\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nG^1,H<2,Cv1,Cv1,A>2\n"]}} {"board": "AAoBCooDBCoEDFCoEDFooooGG", "size": 5, "moves": 5, "solution": ["Cv1", "G<2", "Fv1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAoBCooDBCoEDFCoEDFooooGG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,G<2,Fv1,Bv1,A>3\n"]}} {"board": "oAABooCDBooCDEEoFFooooGGG", "size": 5, "moves": 8, "solution": ["A<1", "D^1", "F>1", "Dv2", "D<3", "Bv1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAABooCDBooCDEEoFFooooGGG\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<1,D^1,F>1,Dv2,D<3,Bv1,Bv1,A>3\n"]}} {"board": "BCDDDBCEFooCEFooooGooAAGo", "size": 5, "moves": 6, "solution": ["Bv1", "Bv1", "B<2", "F^1", "G^1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BCDDDBCEFooCEFooooGooAAGo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,B<2,F^1,G^1,A>2\n"]}} {"board": "oAABCoDoBCEDoFFEooooEGGoo", "size": 5, "moves": 6, "solution": ["G>1", "Dv2", "E<2", "Bv1", "Bv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAABCoDoBCEDoFFEooooEGGoo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nG>1,Dv2,E<2,Bv1,Bv1,A>2\n"]}} {"board": "oooBooAABoCoDEECFDoooFGGo", "size": 5, "moves": 5, "solution": ["G>1", "Dv1", "D<2", "Bv2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oooBooAABoCoDEECFDoooFGGo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nG>1,Dv1,D<2,Bv2,A>2\n"]}} {"board": "AABCDooBCDoooCoEFGGGEFooo", "size": 5, "moves": 7, "solution": ["Bv1", "Cv1", "E^2", "F^2", "G<2", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AABCDooBCDoooCoEFGGGEFooo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Cv1,E^2,F^2,G<2,Bv1,A>3\n"]}} {"board": "AABoCooBoCDDEEFooGGFooHHo", "size": 5, "moves": 8, "solution": ["Fv1", "E>1", "F<2", "H<2", "Bv3", "D<1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AABoCooBoCDDEEFooGGFooHHo\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nFv1,E>1,F<2,H<2,Bv3,D<1,Bv1,A>3\n"]}} {"board": "oAAoBooCoBDoCoBDEEFFDGGGo", "size": 5, "moves": 5, "solution": ["D^2", "E<1", "F<1", "Cv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAAoBooCoBDoCoBDEEFFDGGGo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,E<1,F<1,Cv1,A>2\n"]}} {"board": "AABCDooBCDoEECooooFFooGGo", "size": 5, "moves": 6, "solution": ["Dv1", "E<1", "Bv1", "F<2", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AABCDooBCDoEECooooFFooGGo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,E<1,Bv1,F<2,Bv1,A>3\n"]}} {"board": "BAACDBEECDBFooGoFooGoooHH", "size": 5, "moves": 5, "solution": ["Cv1", "H<1", "Gv1", "Cv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BAACDBEECDBFooGoFooGoooHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,H<1,Gv1,Cv1,A>2\n"]}} {"board": "BAACDBooCDooooEooooEoooFF", "size": 5, "moves": 5, "solution": ["Cv1", "F<1", "Ev1", "Cv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BAACDBooCDooooEooooEoooFF\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,F<1,Ev1,Cv1,A>2\n"]}} {"board": "AABoCDDBoCEFFoGEoooGoooHH", "size": 5, "moves": 7, "solution": ["Ev1", "E<1", "Bv1", "H<1", "Fv1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AABoCDDBoCEFFoGEoooGoooHH\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,E<1,Bv1,H<1,Fv1,Bv1,A>3\n"]}} {"board": "AABCoDoBCoDoEoFooEGFoHHGo", "size": 5, "moves": 5, "solution": ["Cv1", "H<1", "Ev1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AABCoDoBCoDoEoFooEGFoHHGo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,H<1,Ev1,Bv1,A>3\n"]}} {"board": "AAoBCDDEBCFGEHHFGoIJFooIJ", "size": 5, "moves": 6, "solution": ["Ev2", "Fv1", "F<2", "Bv1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAoBCDDEBCFGEHHFGoIJFooIJ\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv2,Fv1,F<2,Bv1,Bv1,A>3\n"]}} {"board": "BooCDBAACDBEoCDoEFooooFGG", "size": 5, "moves": 5, "solution": ["F^1", "G<2", "Cv2", "Cv2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BooCDBAACDBEoCDoEFooooFGG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,G<2,Cv2,Cv2,A>2\n"]}} {"board": "AABCoDoBCEDoFFEGGGoEoHHHo", "size": 5, "moves": 6, "solution": ["G>1", "Dv2", "E<2", "Bv1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AABCoDoBCEDoFFEGGGoEoHHHo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nG>1,Dv2,E<2,Bv1,Bv1,A>3\n"]}} {"board": "BCDDDBCEFooCEFGAAooGHHooG", "size": 5, "moves": 5, "solution": ["A>2", "Cv1", "C<1", "G^2", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BCDDDBCEFooCEFGAAooGHHooG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,Cv1,C<1,G^2,A>1\n"]}} {"board": "oooooBCoAAoBCoDooBooDoooooDooooooEEE", "size": 6, "moves": 2, "solution": ["Bv2", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBCoAAoBCoDooBooDoooooDooooooEEE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>2\n"]}} {"board": "oAAoBoooCCBoDoooBoDoooooDEEoFFoooooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAoBoooCCBoDoooBoDoooooDEEoFFoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "oBCDoooBCDoEAAoooEFoGHIJFKGHIJFKGHIJ", "size": 6, "moves": 2, "solution": ["E^1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBCDoooBCDoEAAoooEFoGHIJFKGHIJFKGHIJ\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,A>4\n"]}} {"board": "AAooBoooooBooooooooooooooooCoooooCDD", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAooBoooooBooooooooooooooooCoooooCDD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oooooooooooooooooooAAoBoooooBoooCCBo", "size": 6, "moves": 2, "solution": ["B^3", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooooooooooAAoBoooooBoooCCBo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^3,A>3\n"]}} {"board": "oooBoooAABooCCooooDDooooooEEEooooooo", "size": 6, "moves": 2, "solution": ["Bv2", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoooAABooCCooooDDooooooEEEooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>3\n"]}} {"board": "oBoooooBooooooooooooCoooAACoooooCooo", "size": 6, "moves": 2, "solution": ["C^2", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoooooBooooooooooooCoooAACoooooCooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>4\n"]}} {"board": "ooAAoBooooCBDDEoCoFoEGHHFIoGooFIoGJJ", "size": 6, "moves": 2, "solution": ["Bv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAAoBooooCBDDEoCoFoEGHHFIoGooFIoGJJ\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "oooooooooooooooooBoAAooBoCoooBoCoooo", "size": 6, "moves": 2, "solution": ["B^2", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooooooooBoAAooBoCoooBoCoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^2,A>3\n"]}} {"board": "ooooooAABoooooBCooooBCoDoooCoDEEoooD", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooAABoooooBCooooBCoDoooCoDEEoooD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "ooBBBooooooCoAAooCDDEFGGHoEFooHooFoo", "size": 6, "moves": 2, "solution": ["C^1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBooooooCoAAooCDDEFGGHoEFooHooFoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>3\n"]}} {"board": "ooBCCCDoBoooDoBEEEDFAAoGoFHHIGoFooIo", "size": 6, "moves": 2, "solution": ["Gv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBCCCDoBoooDoBEEEDFAAoGoFHHIGoFooIo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nGv1,A>2\n"]}} {"board": "AABoooooBoooCoBoooCooDDDCoEEEooFFFoo", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AABoooooBoooCoBoooCooDDDCoEEEooFFFoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "ooBCooooBCooooBoooooDEooooDEooAAoEoo", "size": 6, "moves": 2, "solution": ["E^1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBCooooBCooooBoooooDEooooDEooAAoEoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,A>4\n"]}} {"board": "oAAooBoCCCDBooooDooooooooEEEFoooooFo", "size": 6, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAooBoCCCDBooooDooooooooEEEFoooooFo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "ooooooooAAoBoooooBoooooooooooooooCCC", "size": 6, "moves": 2, "solution": ["Bv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooAAoBoooooBoooooooooooooooCCC\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "BooCCCBoooooBoDoooooDoEoAAooEoooooFF", "size": 6, "moves": 2, "solution": ["E^1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BooCCCBoooooBoDoooooDoEoAAooEoooooFF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,A>4\n"]}} {"board": "ooBCoDooBCoDAAoooDoEooFooEGGFooEHHFo", "size": 6, "moves": 2, "solution": ["Dv3", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBCoDooBCoDAAoooDoEooFooEGGFooEHHFo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv3,A>4\n"]}} {"board": "oooBoooAABoooooBooCoooooCDooooCDoooo", "size": 6, "moves": 2, "solution": ["Bv2", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoooAABoooooBooCoooooCDooooCDoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>3\n"]}} {"board": "oooooooooooooooooBCoDAABCoDooBoooooo", "size": 6, "moves": 2, "solution": ["B^2", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooooooooBCoDAABCoDooBoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^2,A>1\n"]}} {"board": "oooooBCooooBCoAAoBCoooDoooooDoooEEoo", "size": 6, "moves": 2, "solution": ["Bv3", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBCooooBCoAAoBCoooDoooooDoooEEoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv3,A>2\n"]}} {"board": "ooooooooBBBooCoooooCoooDoooooDoooAAD", "size": 6, "moves": 2, "solution": ["D^1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooBBBooCoooooCoooDoooooDoooAAD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>1\n"]}} {"board": "oooAABCCCooBoooooBoooooooDDoEoooooEo", "size": 6, "moves": 2, "solution": ["Bv1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooAABCCCooBoooooBoooooooDDoEoooooEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>1\n"]}} {"board": "BCoDDDBCoooEoCoooEFGGGoEFoAAHoFoIIHo", "size": 6, "moves": 2, "solution": ["H^2", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BCoDDDBCoooEoCoooEFGGGoEFoAAHoFoIIHo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nH^2,A>2\n"]}} {"board": "oBCoDooBCoDooBAAEoFFFoEooGoooooGHHHo", "size": 6, "moves": 2, "solution": ["Ev1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBCoDooBCoDooBAAEoFFFoEooGoooooGHHHo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,A>2\n"]}} {"board": "ooBBBooAACoooDDCoooooCoooooooooEEEoo", "size": 6, "moves": 2, "solution": ["Cv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBooAACoooDDCoooooCoooooooooEEEoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>3\n"]}} {"board": "oBoooooBoooooBoooCoAAooCooooDDoooEEE", "size": 6, "moves": 2, "solution": ["C^1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoooooBoooooBoooCoAAooCooooDDoooEEE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>3\n"]}} {"board": "ooooBoooooBCDDDoBCoAAooCEoFFFGEooooG", "size": 6, "moves": 2, "solution": ["C^1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoooooBCDDDoBCoAAooCEoFFFGEooooG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>3\n"]}} {"board": "oooBBBoCoooooCoooooCoooDoEoooDoEoAAD", "size": 6, "moves": 2, "solution": ["D^1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBoCoooooCoooooCoooDoEoooDoEoAAD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>1\n"]}} {"board": "oooooooooAABCDDooBCooooooEooFooEooFo", "size": 6, "moves": 2, "solution": ["Bv1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooAABCDDooBCooooooEooFooEooFo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>1\n"]}} {"board": "ooooooAAoBoooooBCCoooBoooooooooDDooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooAAoBoooooBCCoooBoooooooooDDooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oooooooooooBoCoooBDCoAABDooEEoDFFooo", "size": 6, "moves": 2, "solution": ["B^1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooBoCoooBDCoAABDooEEoDFFooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,A>1\n"]}} {"board": "oAAoBooooCBDoEECoDFGGCHHFIIJJJFooKKo", "size": 6, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAoBooooCBDoEECoDFGGCHHFIIJJJFooKKo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "oooBBBoooCCCoooooDoooooDooooEooAAoEo", "size": 6, "moves": 2, "solution": ["E^1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBoooCCCoooooDoooooDooooEooAAoEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,A>3\n"]}} {"board": "ooAABoCCCoBoooooooDDDEFFoooEoooooEoo", "size": 6, "moves": 2, "solution": ["Bv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAABoCCCoBoooooooDDDEFFoooEoooooEoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "oAAooBooCCCBoDDoEoFFFoEoGGHHIIJJJooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAooBooCCCBoDDoEoFFFoEoGGHHIIJJJooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "oBCCCDoBooEDoFFFEooGGGEHIIIooHoooAAH", "size": 6, "moves": 2, "solution": ["H^1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBCCCDoBooEDoFFFEooGGGEHIIIooHoooAAH\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nH^1,A>1\n"]}} {"board": "oooBBBoAAooCDooEECDooooCoooFoooooFoo", "size": 6, "moves": 2, "solution": ["Cv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBoAAooCDooEECDooooCoooFoooooFoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>3\n"]}} {"board": "oBBBooooooooooooCooDAACooDooCooDoEEE", "size": 6, "moves": 2, "solution": ["C^2", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBooooooooooooCooDAACooDooCooDoEEE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>2\n"]}} {"board": "BooCCCBoooooBooooooooooDooAAoDoooEED", "size": 6, "moves": 2, "solution": ["D^2", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BooCCCBoooooBooooooooooDooAAoDoooEED\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,A>2\n"]}} {"board": "ooooBoAAooBoooooBoooooooCCooooDDoooo", "size": 6, "moves": 2, "solution": ["Bv2", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoAAooBoooooBoooooooCCooooDDoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>4\n"]}} {"board": "oAAooBCCDDDBoooooBEooFooEooFooEooFoo", "size": 6, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAooBCCDDDBoooooBEooFooEooFooEooFoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "AAoooBoooooBoooCCBooooooDDDooooooooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoooBoooooBoooCCBooooooDDDooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "ooooooooooBoooAABooCooDEoCooDEoCoFFE", "size": 6, "moves": 2, "solution": ["B^1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooBoooAABooCooDEoCooDEoCoFFE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,A>2\n"]}} {"board": "BooCCCBoooDoooAADoooooDooooooooooooo", "size": 6, "moves": 2, "solution": ["Dv2", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BooCCCBoooDoooAADoooooDooooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv2,A>2\n"]}} {"board": "oooooooooooooooBoooooBoCoooAACoooDDC", "size": 6, "moves": 2, "solution": ["C^2", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooooooBoooooBoCoooAACoooDDC\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>1\n"]}} {"board": "ooooooooAAoBoCCooBDoEFooDGEFHHDGEFoo", "size": 6, "moves": 2, "solution": ["Bv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooAAoBoCCooBDoEFooDGEFHHDGEFoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "AAoBoooCoBoooCoBDDoEEooooFFFoooooGGo", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoBoooCoBoooCoBDDoEEooooFFFoooooGGo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "ooooooAAoooBoooooBoooCCBoDDEoooooEoo", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooAAoooBoooooBoooCCBoDDEoooooEoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oooooooBoAACoBoooCoBoooCoooooooooooo", "size": 6, "moves": 2, "solution": ["Cv1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooBoAACoBoooCoBoooCoooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>1\n"]}} {"board": "ooooBoooooBoAAooCoDDooCoooEoCoooEooo", "size": 6, "moves": 2, "solution": ["Cv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoooooBoAAooCoDDooCoooEoCoooEooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>4\n"]}} {"board": "oBBBCDEEEoCDooFoCGoHFAAGIHJJooIHoKKo", "size": 6, "moves": 2, "solution": ["Gv2", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBCDEEEoCDooFoCGoHFAAGIHJJooIHoKKo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nGv2,A>1\n"]}} {"board": "oooBBBooCoooAACoooooooooDDDoEEFFFooo", "size": 6, "moves": 2, "solution": ["C^1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBooCoooAACoooooooooDDDoEEFFFooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>4\n"]}} {"board": "oooBoooooBooooooooCoooooCooooDooAAoD", "size": 6, "moves": 2, "solution": ["D^1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoooooBooooooooCoooooCooooDooAAoD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>2\n"]}} {"board": "oooooBoooooBCCCooBoooooooooDooAAoDoo", "size": 6, "moves": 2, "solution": ["D^1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoooooBCCCooBoooooooooDooAAoDoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>4\n"]}} {"board": "oBBBoooAAooCoDDEFCGGGEFCHHooFooooIII", "size": 6, "moves": 2, "solution": ["Cv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBoooAAooCoDDEFCGGGEFCHHooFooooIII\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>3\n"]}} {"board": "ooooooooBBBooooAACoooooCDDoooooooooo", "size": 6, "moves": 2, "solution": ["C^2", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooBBBooooAACoooooCDDoooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>1\n"]}} {"board": "oooooooAAoBooCCoBooooooooooooooooDDD", "size": 6, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooAAoBooCCoBooooooooooooooooDDD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "oBBBoooCDDDooCoooEoCoAAEoooooEoooooo", "size": 6, "moves": 2, "solution": ["E^2", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBoooCDDDooCoooEoCoAAEoooooEoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^2,A>1\n"]}} {"board": "ooooooBoooooBooCooAAoCoooooCoooooooo", "size": 6, "moves": 2, "solution": ["C^2", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooBoooooBooCooAAoCoooooCoooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>4\n"]}} {"board": "ooooooBoooooBooAACoDoooCoDoooCoDoooo", "size": 6, "moves": 2, "solution": ["Cv1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooBoooooBooAACoDoooCoDoooCoDoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>1\n"]}} {"board": "oooooooBoooooBooooCBooDoCoooDooAAoDo", "size": 6, "moves": 2, "solution": ["D^1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooBoooooBooooCBooDoCoooDooAAoDo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>3\n"]}} {"board": "BoooCoBDooCEBDoAAEFoooooFGoHHHFGoooo", "size": 6, "moves": 2, "solution": ["E^1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoooCoBDooCEBDoAAEFoooooFGoHHHFGoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,A>1\n"]}} {"board": "oBCooooBCAADoECooDFEGGGoFoHHooFIIIJJ", "size": 6, "moves": 2, "solution": ["Dv1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBCooooBCAADoECooDFEGGGoFoHHooFIIIJJ\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,A>1\n"]}} {"board": "BBBCCCoDoEEEoDAAoFGooooFGooHHFGoIIIo", "size": 6, "moves": 2, "solution": ["Fv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBCCCoDoEEEoDAAoFGooooFGooHHFGoIIIo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nFv1,A>2\n"]}} {"board": "oooooooAAooBCCoooBDoEooBDoEFGoooEFGo", "size": 6, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooAAooBCCoooBDoEooBDoEFGoooEFGo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "BBBoooooooCooooDCoEAADooEooFFFEoGGGo", "size": 6, "moves": 2, "solution": ["D^1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBoooooooCooooDCoEAADooEooFFFEoGGGo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>3\n"]}} {"board": "BBBoooCooAADCEEooDoFGHoooFGHoIoFoHoI", "size": 6, "moves": 2, "solution": ["Dv1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBoooCooAADCEEooDoFGHoooFGHoIoFoHoI\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,A>1\n"]}} {"board": "oBoooooBoooCoooooCoooAACooooDoooooDo", "size": 6, "moves": 2, "solution": ["C^1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoooooBoooCoooooCoooAACooooDoooooDo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>1\n"]}} {"board": "oooooooBoooooBoooooCoooDoCoooDoCoAAD", "size": 6, "moves": 2, "solution": ["D^1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooBoooooBoooooCoooDoCoooDoCoAAD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>1\n"]}} {"board": "oAAooBoCCooBooDoooooDEEoooDooooooFFo", "size": 6, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAooBoCCooBooDoooooDEEoooDooooooFFo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "ooBAACooBooCooBoDCooooDooooEEEooooFF", "size": 6, "moves": 2, "solution": ["Cv1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBAACooBooCooBoDCooooDooooEEEooooFF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>1\n"]}} {"board": "ooBAACooBooCoooDDCEoooooEoFFFoEGGHHH", "size": 6, "moves": 2, "solution": ["Cv1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBAACooBooCoooDDCEoooooEoFFFoEGGHHH\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>1\n"]}} {"board": "BBBoooooooooooCCCoooDDDEoAAooEFFoooE", "size": 6, "moves": 2, "solution": ["E^2", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBoooooooooooCCCoooDDDEoAAooEFFoooE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^2,A>3\n"]}} {"board": "AAoBooCooBooCooBooDDDoooooooEEoooooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoBooCooBooCooBooDDDoooooooEEoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oooBooAAoBooooooooooooooooCCoDoooooD", "size": 6, "moves": 2, "solution": ["Bv2", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBooAAoBooooooooooooooooCCoDoooooD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>4\n"]}} {"board": "ooooooooooBoooooBoCCCDBooooDooAAoDoo", "size": 6, "moves": 2, "solution": ["D^1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooBoooooBoCCCDBooooDooAAoDoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>4\n"]}} {"board": "oBBBooooooooooooooooooCoAAooCooooDDo", "size": 6, "moves": 2, "solution": ["C^1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBooooooooooooooooooCoAAooCooooDDo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>4\n"]}} {"board": "oBCooooBCooooBDDDEFFFooEGoAAoEGHHooo", "size": 6, "moves": 2, "solution": ["E^1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBCooooBCooooBDDDEFFFooEGoAAoEGHHooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,A>2\n"]}} {"board": "ooooooBoooooBoooooCoooooCoAAoDCooooD", "size": 6, "moves": 2, "solution": ["D^2", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooBoooooBoooooCoooooCoAAoDCooooD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,A>2\n"]}} {"board": "ooooooooooBoooAABooCCCoooooooooooooo", "size": 6, "moves": 2, "solution": ["B^1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooBoooAABooCCCoooooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,A>2\n"]}} {"board": "oooooooooooooooooBAAoooBCCoooooooooo", "size": 6, "moves": 2, "solution": ["B^1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooooooooBAAoooBCCoooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,A>4\n"]}} {"board": "oooooBooAAoBCoooooCoooooooooooooDDoo", "size": 6, "moves": 2, "solution": ["Bv2", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBooAAoBCoooooCoooooooooooooDDoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>2\n"]}} {"board": "oAAooBooCooBoDCEEooDCFFFGGoHHHoIIooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAooBooCooBoDCEEooDCFFFGGoHHHoIIooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "oBooCooBAACoooooCooooooooooooooooooo", "size": 6, "moves": 2, "solution": ["Cv2", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBooCooBAACoooooCooooooooooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,A>2\n"]}} {"board": "BBBooCoDAAoCoDoooCoDoEoooooEooFFoooo", "size": 6, "moves": 2, "solution": ["Cv2", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBooCoDAAoCoDoooCoDoEoooooEooFFoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,A>2\n"]}} {"board": "oBCooooBCoDooBCoDooAAoDoooooEoooooEo", "size": 6, "moves": 2, "solution": ["D^1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBCooooBCoDooBCoDooAAoDoooooEoooooEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>3\n"]}} {"board": "BoooCoBoooCoDoAAoEDFFooEDooooEoooooo", "size": 6, "moves": 2, "solution": ["Ev1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoooCoBoooCoDoAAoEDFFooEDooooEoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,A>2\n"]}} {"board": "oBoAACoBoooCooooooDEEoooDooFFFDooooo", "size": 6, "moves": 2, "solution": ["Cv1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoAACoBoooCooooooDEEoooDooFFFDooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>1\n"]}} {"board": "oAABoooCCBDoEoFBDGEHFoIGEHFoIJoHKKoJ", "size": 6, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAABoooCCBDoEoFBDGEHFoIGEHFoIJoHKKoJ\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "oooBooAAoBooCoooooCooooooooDooEEoDoo", "size": 6, "moves": 2, "solution": ["Bv2", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBooAAoBooCoooooCooooooooDooEEoDoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>4\n"]}} {"board": "oBAAoCDBEEoCDBooooDFFGGGHooIIIHooooo", "size": 6, "moves": 2, "solution": ["Cv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBAAoCDBEEoCDBooooDFFGGGHooIIIHooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>2\n"]}} {"board": "oooooooBoCoooBoCooDDDCEooAAoEooooooo", "size": 6, "moves": 2, "solution": ["E^1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooBoCoooBoCooDDDCEooAAoEooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,A>3\n"]}} {"board": "AAoBoooooBoooooBooooCoooooCoooooCooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoBoooooBoooooBooooCoooooCoooooCooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "ooooooooooooooooBoAAooBooooCBooooCoo", "size": 6, "moves": 2, "solution": ["B^2", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooooooooBoAAooBooooCBooooCoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^2,A>4\n"]}} {"board": "BBBooooAACooDDDCooEoFCooEGFooooGFHHH", "size": 6, "moves": 2, "solution": ["Cv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBooooAACooDDDCooEoFCooEGFooooGFHHH\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>3\n"]}} {"board": "BBBCCCDEAAoFDEGGHFDoIIHoJoKKKoJooLLo", "size": 6, "moves": 2, "solution": ["Fv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBCCCDEAAoFDEGGHFDoIIHoJoKKKoJooLLo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nFv1,A>2\n"]}} {"board": "ooooooooBCCCooBDEooFBDEGoFooEGoFoAAG", "size": 6, "moves": 2, "solution": ["G^1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooBCCCooBDEooFBDEGoFooEGoFoAAG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nG^1,A>1\n"]}} {"board": "oAABoooooBoCDDDBoCoEEooCFooGHoFIIGHo", "size": 6, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAABoooooBoCDDDBoCoEEooCFooGHoFIIGHo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "BBBoooCDoEEECDFFFoGDHHHIGAAooIGJJJKK", "size": 6, "moves": 2, "solution": ["I^1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBoooCDoEEECDFFFoGDHHHIGAAooIGJJJKK\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nI^1,A>3\n"]}} {"board": "BoCoooBoCoooooCooooooDooAAoDoooooDoo", "size": 6, "moves": 2, "solution": ["D^2", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoCoooBoCoooooCooooooDooAAoDoooooDoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,A>4\n"]}} {"board": "oooBoooooBooAACooooDCooooDCooooDoEEE", "size": 6, "moves": 2, "solution": ["Cv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoooooBooAACooooDCooooDCooooDoEEE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>4\n"]}} {"board": "ooooooBBBooooooCCCoooAADEFFooDEoGGoo", "size": 6, "moves": 2, "solution": ["Dv1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooBBBooooooCCCoooAADEFFooDEoGGoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,A>1\n"]}} {"board": "ooAABoooooBoooooBoooooooooooCCooDDoo", "size": 6, "moves": 2, "solution": ["Bv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAABoooooBoooooBoooooooooooCCooDDoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "oooooooooooooooBoooCoBDooCAADoooooDo", "size": 6, "moves": 2, "solution": ["D^2", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooooooBoooCoBDooCAADoooooDo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,A>2\n"]}} {"board": "oooooooooBBBCCCooooDoooooDoooEoooAAE", "size": 6, "moves": 2, "solution": ["E^1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBBBCCCooooDoooooDoooEoooAAE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,A>1\n"]}} {"board": "BoAACoBoDDCooEooCooEoFoGHHHFoGoooFoo", "size": 6, "moves": 2, "solution": ["Cv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoAACoBoDDCooEooCooEoFoGHHHFoGoooFoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>2\n"]}} {"board": "ooooooBooooCBoAAoCoooooCDDoooooEEEoo", "size": 6, "moves": 2, "solution": ["Cv2", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooBooooCBoAAoCoooooCDDoooooEEEoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,A>2\n"]}} {"board": "ooooBoooooBoAAooBoCDoooECDFFoECDoooo", "size": 6, "moves": 2, "solution": ["Bv3", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoooooBoAAooBoCDoooECDFFoECDoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv3,A>4\n"]}} {"board": "ooBoooooBAACooBooCDDoooooooooooooooo", "size": 6, "moves": 2, "solution": ["Cv1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoooooBAACooBooCDDoooooooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>1\n"]}} {"board": "ooooBooCooBooCDoBoooDAAEFFFooEooGGoE", "size": 6, "moves": 2, "solution": ["E^3", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBooCooBooCDoBoooDAAEFFFooEooGGoE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^3,A>1\n"]}} {"board": "ooooooooBoooooBoooooBCoooooCooAAoCoo", "size": 6, "moves": 2, "solution": ["C^1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooBoooooBoooooBCoooooCooAAoCoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>4\n"]}} {"board": "BoooooBoooooooAAoCDEEEFCDGooFoDGooFo", "size": 6, "moves": 2, "solution": ["C^2", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoooooBoooooooAAoCDEEEFCDGooFoDGooFo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>2\n"]}} {"board": "ooBCCCooBDEoFoBDEoFooDEoooAAoGoooooG", "size": 6, "moves": 2, "solution": ["G^2", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBCCCooBDEoFoBDEoFooDEoooAAoGoooooG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nG^2,A>2\n"]}} {"board": "oooBBBooooooooooooooooooooCoooAACooo", "size": 6, "moves": 2, "solution": ["C^1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBooooooooooooooooooooCoooAACooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>4\n"]}} {"board": "oooooooooooooooooBooCAABooCooBDDCooo", "size": 6, "moves": 2, "solution": ["B^2", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooooooooBooCAABooCooBDDCooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^2,A>1\n"]}} {"board": "oooooBCAAooBCDoooBoDoEFooDoEFooGGEFo", "size": 6, "moves": 2, "solution": ["Bv2", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBCAAooBCDoooBoDoEFooDoEFooGGEFo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>3\n"]}} {"board": "oooooBoAAooBCCCoDBoooEDooooEDooooooo", "size": 6, "moves": 2, "solution": ["Bv2", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoAAooBCCCoDBoooEDooooEDooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>3\n"]}} {"board": "oAAoBoooooBCoooooCoooooCoooooooooooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAoBoooooBCoooooCoooooCoooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "oooooooooooooBBBoooAAoCoooooCooooooo", "size": 6, "moves": 2, "solution": ["C^2", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooooBBBoooAAoCoooooCooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>3\n"]}} {"board": "oBoAACoBoooCoooooooooooooooDDooooooo", "size": 6, "moves": 2, "solution": ["Cv1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoAACoBoooCoooooooooooooooDDooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>1\n"]}} {"board": "BAAoCoBoDDCEBooooEFGHoooFGHIIIFGHJJJ", "size": 6, "moves": 2, "solution": ["Cv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BAAoCoBoDDCEBooooEFGHoooFGHIIIFGHJJJ\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>3\n"]}} {"board": "BBBoooCDEoFGCDEoFGoAAoFooooHHHoooooo", "size": 6, "moves": 2, "solution": ["F^1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBoooCDEoFGCDEoFGoAAoFooooHHHoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,A>3\n"]}} {"board": "AAoooBoCCCoBDDEFFoGoEHIoGoEHIoGJJHIo", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoooBoCCCoBDDEFFoGoEHIoGoEHIoGJJHIo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "BooCooBooCooDooAAEDFooGEDFooGooFooGo", "size": 6, "moves": 2, "solution": ["E^2", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BooCooBooCooDooAAEDFooGEDFooGooFooGo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^2,A>1\n"]}} {"board": "ooBBBoooooCoAAooCoooDoooooDoooooDooo", "size": 6, "moves": 2, "solution": ["Cv2", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBoooooCoAAooCoooDoooooDoooooDooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,A>4\n"]}} {"board": "ooooBoAAooBoooooBooCCCoooooooooooooo", "size": 6, "moves": 2, "solution": ["Bv2", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoAAooBoooooBooCCCoooooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>4\n"]}} {"board": "BBBooooooooooooooooCCCDooEooDooEAADo", "size": 6, "moves": 2, "solution": ["D^1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBooooooooooooooooCCCDooEooDooEAADo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>2\n"]}} {"board": "ooooBooAAoBooCCCBoDDDooooooooooooooo", "size": 6, "moves": 2, "solution": ["Bv2", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBooAAoBooCCCBoDDDooooooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>3\n"]}} {"board": "oooBooooCBooooCBDoooAADoEEoooooooooo", "size": 6, "moves": 2, "solution": ["D^1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBooooCBooooCBDoooAADoEEoooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>2\n"]}} {"board": "oooBoooAABoooooBoooooooooooooooooCCC", "size": 6, "moves": 2, "solution": ["Bv2", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoooAABoooooBoooooooooooooooooCCC\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>3\n"]}} {"board": "AAooBoooooBoooooBCooDooCEEDooCooDooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAooBoooooBoooooBCooDooCEEDooCooDooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "ooooooBBBooCoooooCoDEAACoDEooFoDEooF", "size": 6, "moves": 2, "solution": ["C^1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooBBBooCoooooCoDEAACoDEooFoDEooF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>1\n"]}} {"board": "oBoooooBooooooCoooooCooDooCAADoooooD", "size": 6, "moves": 2, "solution": ["D^2", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoooooBooooooCoooooCooDooCAADoooooD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,A>1\n"]}} {"board": "oooooooAAoBoooooBoooooooooooCoooooCo", "size": 6, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooAAoBoooooBoooooooooooCoooooCo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "oBoooCoBoAACDBooooDoooooDooooooooooo", "size": 6, "moves": 2, "solution": ["Cv2", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoooCoBoAACDBooooDoooooDooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,A>1\n"]}} {"board": "BoooooBoooooBooooCoooAACDDoooCoooooo", "size": 6, "moves": 2, "solution": ["C^2", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoooooBoooooBooooCoooAACDDoooCoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>1\n"]}} {"board": "oooBBBCCCoooooooooooooooooooDooAAoDo", "size": 6, "moves": 2, "solution": ["D^1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBCCCoooooooooooooooooooDooAAoDo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>3\n"]}} {"board": "ooAAoBoooooBooooooCoDDDoCoooooooEEoo", "size": 6, "moves": 2, "solution": ["Bv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAAoBoooooBooooooCoDDDoCoooooooEEoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "ooooooBooCooBooCoooooAADoooooDoEEEoD", "size": 6, "moves": 2, "solution": ["D^3", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooBooCooBooCoooooAADoooooDoEEEoD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^3,A>1\n"]}} {"board": "ooBoooooBooCooDDDCoAAooCEEEoooooFFoo", "size": 6, "moves": 2, "solution": ["C^1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoooooBooCooDDDCoAAooCEEEoooooFFoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>3\n"]}} {"board": "oooBBBoCoooooCAADoECFGDoEHFGooEHoIII", "size": 6, "moves": 2, "solution": ["Dv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBoCoooooCAADoECFGDoEHFGooEHoIII\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,A>2\n"]}} {"board": "BBBooooooAACoooooCoDDoEooFFGEooooGEo", "size": 6, "moves": 2, "solution": ["Cv1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBooooooAACoooooCoDDoEooFFGEooooGEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>1\n"]}} {"board": "oooBBBooCoooDoCoooDoCEooAAoEooooooFF", "size": 6, "moves": 2, "solution": ["E^1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBooCoooDoCoooDoCEooAAoEooooooFF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,A>4\n"]}} {"board": "ooooooAABoooCoBoDDCEooFooEooFooEoooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooAABoooCoBoDDCEooFooEooFooEoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oooBBBAAoooCoooooCDoooooDoooooDooooo", "size": 6, "moves": 2, "solution": ["Cv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBAAoooCoooooCDoooooDoooooDooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>4\n"]}} {"board": "ooooooooooooooooooBoooooBoCooDooCAAD", "size": 6, "moves": 2, "solution": ["D^1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooooooooooBoooooBoCooDooCAAD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>1\n"]}} {"board": "oooooBoooooBoooooBooAACooDDoCoEEEooo", "size": 6, "moves": 2, "solution": ["C^2", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoooooBoooooBooAACooDDoCoEEEooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>2\n"]}} {"board": "BBBoooooooCoooAACoooDDDoooooooooEEoo", "size": 6, "moves": 2, "solution": ["C^1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBoooooooCoooAACoooDDDoooooooooEEoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>2\n"]}} {"board": "ooBCCCooBooooDooooEDoooFEDoooFEAAooF", "size": 6, "moves": 2, "solution": ["F^1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBCCCooBooooDooooEDoooFEDoooFEAAooF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,A>3\n"]}} {"board": "oooooBoooooBooCDooooCDoEFGoAAEFGHHII", "size": 6, "moves": 2, "solution": ["E^1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoooooBooCDooooCDoEFGoAAEFGHHII\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,A>1\n"]}} {"board": "BoooooBooCCCBoAAoDEEFFGDoooHGDIIIHGo", "size": 6, "moves": 2, "solution": ["Dv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoooooBooCCCBoAAoDEEFFGDoooHGDIIIHGo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,A>2\n"]}} {"board": "oAAoBooooCBoDDoCooEFFCooEooGGGEHHooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAoBooooCBoDDoCooEFFCooEooGGGEHHooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "oAAooBCCoooBoDDDooEEooFoooooFooGGoFo", "size": 6, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAooBCCoooBoDDDooEEooFoooooFooGGoFo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "ooBAACooBooCooBooCDoooooDoooooDooEEo", "size": 6, "moves": 2, "solution": ["Cv1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBAACooBooCooBooCDoooooDoooooDooEEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>1\n"]}} {"board": "BBBooCoDoEFCGDoEFoGDAAFoGHoIJJoHoIoo", "size": 6, "moves": 2, "solution": ["F^1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBooCoDoEFCGDoEFoGDAAFoGHoIJJoHoIoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,A>2\n"]}} {"board": "oooooooBoooooBoooooooooCoAAooCoooooC", "size": 6, "moves": 2, "solution": ["C^2", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooBoooooBoooooooooCoAAooCoooooC\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>3\n"]}} {"board": "oooooooooooBCooAABCoooDoCoooDoooooDo", "size": 6, "moves": 2, "solution": ["B^1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooBCooAABCoooDoCoooDoooooDo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,A>1\n"]}} {"board": "oooBooAAoBooCCooDDEEooooooFFFooGGGoo", "size": 6, "moves": 2, "solution": ["Bv2", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBooAAoBooCCooDDEEooooooFFFooGGGoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>4\n"]}} {"board": "oooBBBooooooooooooooCCCooAAooDooEEoD", "size": 6, "moves": 2, "solution": ["D^2", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBooooooooooooooCCCooAAooDooEEoD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,A>3\n"]}} {"board": "ooooooAABoooooBoooCoBoooCooDEECooDoo", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooAABoooooBoooCoBoooCooDEECooDoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "ooBBBoCDDDooCoooEoCAAoEooFFooooooooo", "size": 6, "moves": 2, "solution": ["E^1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBoCDDDooCoooEoCAAoEooFFooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,A>3\n"]}} {"board": "oBoCCCoBDooooBDoooooDEoooAAEoooooooo", "size": 6, "moves": 2, "solution": ["E^1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoCCCoBDooooBDoooooDEoooAAEoooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,A>3\n"]}} {"board": "ooBBBoooooooooooCoooooCoooooCDooAAoD", "size": 6, "moves": 2, "solution": ["D^1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBoooooooooooCoooooCoooooCDooAAoD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>2\n"]}} {"board": "oooooooooooBAAoooBooCCoooooooooooooo", "size": 6, "moves": 2, "solution": ["B^1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooBAAoooBooCCoooooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,A>4\n"]}} {"board": "ooooooBBBCCCoooooooooooDoEoooDoEAAoD", "size": 6, "moves": 2, "solution": ["D^1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooBBBCCCoooooooooooDoEoooDoEAAoD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>2\n"]}} {"board": "BooCCCBooDooBooDoooEoDoFoEAAoFoEoooF", "size": 6, "moves": 2, "solution": ["F^2", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BooCCCBooDooBooDoooEoDoFoEAAoFoEoooF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^2,A>2\n"]}} {"board": "oooBBBAACoooooCoDoooooDooooEDooooEFF", "size": 6, "moves": 2, "solution": ["Cv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBAACoooooCoDoooooDooooEDooooEFF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>4\n"]}} {"board": "oBBBoooooCCCoDooEoFDAAEoFDoooGFooooG", "size": 6, "moves": 2, "solution": ["Ev2", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBoooooCCCoDooEoFDAAEoFDoooGFooooG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv2,A>2\n"]}} {"board": "AAoooBoooooBoCCCoBooooooooDEEoooDooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoooBoooooBoCCCoBooooooooDEEoooDooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oooBBBooCCCooooooooooDoooooDoooAADoo", "size": 6, "moves": 2, "solution": ["D^1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBooCCCooooooooooDoooooDoooAADoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>3\n"]}} {"board": "ooooooBoCDooBoCDooBooDooEooAAFEooooF", "size": 6, "moves": 2, "solution": ["F^2", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooBoCDooBoCDooBooDooEooAAFEooooF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^2,A>1\n"]}} {"board": "oooBBBoAAooCoooooCDooooCDooEEoDooooo", "size": 6, "moves": 2, "solution": ["Cv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBoAAooCoooooCDooooCDooEEoDooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>3\n"]}} {"board": "ooooBoooooBoooCoBDooCooDoAAEoooooEoo", "size": 6, "moves": 2, "solution": ["E^2", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoooooBoooCoBDooCooDoAAEoooooEoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^2,A>3\n"]}} {"board": "oBoCoooBoCoooBDDDoooEEEFGooAAFGooooF", "size": 6, "moves": 2, "solution": ["F^2", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoCoooBoCoooBDDDoooEEEFGooAAFGooooF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^2,A>1\n"]}} {"board": "oooBCoDooBCoDooBCoDooAAEoFGGGEoFooHH", "size": 6, "moves": 2, "solution": ["E^2", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBCoDooBCoDooBCoDooAAEoFGGGEoFooHH\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^2,A>1\n"]}} {"board": "oooBoooooBCooooBCoooDoCEFoDAAEFoDooE", "size": 6, "moves": 2, "solution": ["E^2", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoooooBCooooBCoooDoCEFoDAAEFoDooE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^2,A>1\n"]}} {"board": "AAoBoooooBoooooBooCooooDCooooDCooooD", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoBoooooBoooooBooCooooDCooooDCooooD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "BBBooooooooooAAooCoDDDoCEoooooEoFFFo", "size": 6, "moves": 2, "solution": ["C^2", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBooooooooooAAooCoDDDoCEoooooEoFFFo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>3\n"]}} {"board": "ooAAoBCDEoFBCDEoFooDoGGGHHHooooooIII", "size": 6, "moves": 2, "solution": ["Bv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAAoBCDEoFBCDEoFooDoGGGHHHooooooIII\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "ooBoooooBoooooBCoooooCooooAAoDoooooD", "size": 6, "moves": 2, "solution": ["D^2", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoooooBoooooBCoooooCooooAAoDoooooD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,A>2\n"]}} {"board": "oooooooooooooooAABoooooBooCCDooEEoDo", "size": 6, "moves": 2, "solution": ["B^2", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooooooAABoooooBooCCDooEEoDo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^2,A>1\n"]}} {"board": "ooooooBooCDoBooCDoooECDoAAEooooooooo", "size": 6, "moves": 2, "solution": ["E^1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooBooCDoBooCDoooECDoAAEooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,A>4\n"]}} {"board": "ooBBBoCoDoooCoDooEFGoHIEFGoHIooGAAIo", "size": 6, "moves": 2, "solution": ["I^1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBoCoDoooCoDooEFGoHIEFGoHIooGAAIo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nI^1,A>2\n"]}} {"board": "oBBBoooAACoooooCoooooCooDDooEoooooEo", "size": 6, "moves": 2, "solution": ["Cv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBoooAACoooooCoooooCooDDooEoooooEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>3\n"]}} {"board": "oBoCCCoBoDDDEFoooGEFAAoGEFHHoooooooo", "size": 6, "moves": 2, "solution": ["Gv2", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoCCCoBoDDDEFoooGEFAAoGEFHHoooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nGv2,A>2\n"]}} {"board": "ooooBoCDooBoCDoEBoCFoEoGoFoAAGoFHHoG", "size": 6, "moves": 2, "solution": ["G^2", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoCDooBoCDoEBoCFoEoGoFoAAGoFHHoG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nG^2,A>1\n"]}} {"board": "ooAABoCCooBoooooooDDoEoooooEoooooEoo", "size": 6, "moves": 2, "solution": ["Bv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAABoCCooBoooooooDDoEoooooEoooooEoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "ooooooAAoooBCooDDBCoooooooEoooooEooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooAAoooBCooDDBCoooooooEoooooEooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "BBBoCoooooCooDoooooDoooEooAAoEoFFFoE", "size": 6, "moves": 2, "solution": ["E^2", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBoCoooooCooDoooooDoooEooAAoEoFFFoE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^2,A>2\n"]}} {"board": "ooooooooooBCoDDDBCoAAoBooooEoooooEoo", "size": 6, "moves": 2, "solution": ["B^1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooBCoDDDBCoAAoBooooEoooooEoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,A>3\n"]}} {"board": "BBBooooooooooAAooCooooDCEEFFDooGGGoo", "size": 6, "moves": 2, "solution": ["C^2", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBooooooooooAAooCooooDCEEFFDooGGGoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>3\n"]}} {"board": "ooooBoAAooBooooCBooooCoooooCoooooDDD", "size": 6, "moves": 2, "solution": ["Bv2", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoAAooBooooCBooooCoooooCoooooDDD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>4\n"]}} {"board": "BoooooBAACoooooCoooooCDEoFooDEoFooDE", "size": 6, "moves": 2, "solution": ["Cv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoooooBAACoooooCoooooCDEoFooDEoFooDE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>3\n"]}} {"board": "oooAABoooooBCCCooooooDDDoooooooooEEE", "size": 6, "moves": 2, "solution": ["Bv1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooAABoooooBCCCooooooDDDoooooooooEEE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>1\n"]}} {"board": "ooAAoBooooCBooooCBooDoEoooDoEoooDooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAAoBooooCBooooCBooDoEoooDoEoooDooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "oBBBoCDDDEoCoFoEGCoFAAGoHFoIIIHJJJoo", "size": 6, "moves": 2, "solution": ["G^1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBoCDDDEoCoFoEGCoFAAGoHFoIIIHJJJoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nG^1,A>2\n"]}} {"board": "ooooooBooooCBooooCBoDAACooDoooEEDFFF", "size": 6, "moves": 2, "solution": ["C^1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooBooooCBooooCBoDAACooDoooEEDFFF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>1\n"]}} {"board": "oooooooooBBBoooCCCDoooooDEEEoFDoAAoF", "size": 6, "moves": 2, "solution": ["F^1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBBBoooCCCDoooooDEEEoFDoAAoF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,A>2\n"]}} {"board": "BoooooBooCCCooAADoooooDEoooooEooFFFE", "size": 6, "moves": 2, "solution": ["Dv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoooooBooCCCooAADoooooDEoooooEooFFFE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,A>2\n"]}} {"board": "oBoooooBoooooBoCoooAACooDDoCooEEEFFF", "size": 6, "moves": 2, "solution": ["C^2", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoooooBoooooBoCoooAACooDDoCooEEEFFF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>3\n"]}} {"board": "BooCCCBoooooAAooDoooEEDoooooDooooooo", "size": 6, "moves": 2, "solution": ["Dv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BooCCCBoooooAAooDoooEEDoooooDooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,A>4\n"]}} {"board": "AAoooBooCDDBooCoEBooooEoFFoGGooooooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoooBooCDDBooCoEBooooEoFFoGGooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "AAooBoooooBoooooBooCCCoooDDEEEooFFoo", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAooBoooooBoooooBooCCCoooDDEEEooFFoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "ooooooBoooooBCooooBCoooDoCoooDoooAAD", "size": 6, "moves": 2, "solution": ["D^1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooBoooooBCooooBCoooDoCoooDoooAAD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>1\n"]}} {"board": "oooooBoCAAoBoCooDooCooDooEEoDooooFFF", "size": 6, "moves": 2, "solution": ["Bv2", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoCAAoBoCooDooCooDooEEoDooooFFF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>2\n"]}} {"board": "oAAoBoooooBooooooooCoooooCDDDooCoooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAoBoooooBooooooooCoooooCDDDooCoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "ooooooBBBooooooooooooCooAAoCoooooCoo", "size": 6, "moves": 2, "solution": ["C^2", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooBBBooooooooooooCooAAoCoooooCoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>4\n"]}} {"board": "BAAoCoBoooCoBoooCooooooooDoooooDoooo", "size": 6, "moves": 2, "solution": ["Cv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BAAoCoBoooCoBoooCooooooooDoooooDoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>3\n"]}} {"board": "ooooooooBBBCAAoooCDEEoFGDHHHFGDoooFG", "size": 6, "moves": 2, "solution": ["C^1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooBBBCAAoooCDEEoFGDHHHFGDoooFG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>4\n"]}} {"board": "ooooooAAoooBCCCooBDDoEEBFFGGoooooHHo", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooAAoooBCCCooBDDoEEBFFGGoooooHHo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oooooooooooBoAAooBCCoooBoooDoooooDoo", "size": 6, "moves": 2, "solution": ["Bv2", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooBoAAooBCCoooBoooDoooooDoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>3\n"]}} {"board": "BoooooBooooooooooCDEoAACDEooooDEoooo", "size": 6, "moves": 2, "solution": ["C^1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoooooBooooooooooCDEoAACDEooooDEoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>1\n"]}} {"board": "BoAAoCBoDDDCBoEEoCFFooooGGHHHIooJJoI", "size": 6, "moves": 2, "solution": ["Cv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoAAoCBoDDDCBoEEoCFFooooGGHHHIooJJoI\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>2\n"]}} {"board": "AAoBooCCCBDooooBDoooooDoooooEEoooFFF", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoBooCCCBDooooBDoooooDoooooEEoooFFF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "AAoBoooooBoooooooooCDEoFoCDEoFoCoooF", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoBoooooBoooooooooCDEoFoCDEoFoCoooF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oBoooooBoooooBooooCAAooDCEFFFDCEoGGD", "size": 6, "moves": 2, "solution": ["D^3", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoooooBoooooBooooCAAooDCEFFFDCEoGGD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^3,A>3\n"]}} {"board": "BooooCBoAAoCBooooCooooooDDEEFoooooFo", "size": 6, "moves": 2, "solution": ["Cv2", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BooooCBoAAoCBooooCooooooDDEEFoooooFo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,A>2\n"]}} {"board": "ooAAoBooCCDBEoooDBEFGoDoEFGoHHoFoIII", "size": 6, "moves": 2, "solution": ["Bv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAAoBooCCDBEoooDBEFGoDoEFGoHHoFoIII\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "ooBAACDoBooCDoBooCEFoGGoEFHHHoEIIJJJ", "size": 6, "moves": 2, "solution": ["Cv1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBAACDoBooCDoBooCEFoGGoEFHHHoEIIJJJ\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>1\n"]}} {"board": "ooooooooBoooooBCCCAABooooDDoEEoooooo", "size": 6, "moves": 2, "solution": ["B^1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooBoooooBCCCAABooooDDoEEoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,A>4\n"]}} {"board": "oooBooCoDBoECoDooECoDAAEoFGGHHoFoooo", "size": 6, "moves": 2, "solution": ["E^1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBooCoDBoECoDooECoDAAEoFGGHHoFoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,A>1\n"]}} {"board": "ooooooooBCoDooBCoDAAoCoooooooooooEEE", "size": 6, "moves": 2, "solution": ["C^1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooBCoDooBCoDAAoCoooooooooooEEE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>4\n"]}} {"board": "oooooooooooooooooooooAABooCCCBoooooo", "size": 6, "moves": 2, "solution": ["B^2", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooooooooooooAABooCCCBoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^2,A>1\n"]}} {"board": "ooooBoooooBooCoooooCooDoAAooDooooooo", "size": 6, "moves": 2, "solution": ["D^1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoooooBooCoooooCooDoAAooDooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>4\n"]}} {"board": "oBBBoooAAooCoooooCoooDEooooDEooooDoo", "size": 6, "moves": 2, "solution": ["Cv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBoooAAooCoooooCoooDEooooDEooooDoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>3\n"]}} {"board": "oooBoooooBooAAoBooooCooDooCooDooCooD", "size": 6, "moves": 2, "solution": ["Bv3", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoooooBooAAoBooooCooDooCooDooCooD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv3,A>4\n"]}} {"board": "AAoBoooooBooooooooooCCCoDDDoEooFFFEo", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoBoooooBooooooooooCCCoDDDoEooFFFEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "ooooooooooBoooooBoooAABoCooDooCooDoo", "size": 6, "moves": 2, "solution": ["B^1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooBoooooBoooAABoCooDooCooDoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,A>2\n"]}} {"board": "oooAABCDEEoBCDooooCDFFGooHHHGooIIoGo", "size": 6, "moves": 2, "solution": ["Bv1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooAABCDEEoBCDooooCDFFGooHHHGooIIoGo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>1\n"]}} {"board": "ooooooAAoBoooooBooooCoooooCDDoooCEEE", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooAAoBoooooBooooCoooooCDDoooCEEE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oBoooooBooooooooooAAooCoooDDCooooooo", "size": 6, "moves": 2, "solution": ["C^2", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoooooBooooooooooAAooCoooDDCooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>4\n"]}} {"board": "oooBBBooooooAAoooCDEFFoCDEGHICDoGHIo", "size": 6, "moves": 2, "solution": ["Cv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBooooooAAoooCDEFFoCDEGHICDoGHIo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>4\n"]}} {"board": "ooooBoCCCoBoooooBooooooDooAAoDoEEooo", "size": 6, "moves": 2, "solution": ["D^1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoCCCoBoooooBooooooDooAAoDoEEooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>2\n"]}} {"board": "ooBoooCoBooDCooAADCEFooDoEFGoooEFGoo", "size": 6, "moves": 2, "solution": ["Dv2", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoooCoBooDCooAADCEFooDoEFGoooEFGoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv2,A>1\n"]}} {"board": "ooBBBooooCCCDDDEEEoooooooFFFoGooAAoG", "size": 6, "moves": 2, "solution": ["G^1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBooooCCCDDDEEEoooooooFFFoGooAAoG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nG^1,A>2\n"]}} {"board": "oooooooBoCCCoBoAADoBoooDoooooDoooooo", "size": 6, "moves": 2, "solution": ["Dv1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooBoCCCoBoAADoBoooDoooooDoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,A>1\n"]}} {"board": "BooAACBooooCooooooooooDEFFFoDEooooDE", "size": 6, "moves": 2, "solution": ["Cv1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BooAACBooooCooooooooooDEFFFoDEooooDE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>1\n"]}} {"board": "oBCCCoDBEEEoDBAAoFDooooFoooooFoooooo", "size": 6, "moves": 2, "solution": ["Fv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBCCCoDBEEEoDBAAoFDooooFoooooFoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nFv1,A>2\n"]}} {"board": "oooooooooooooBBBoooooooCAAoooCooDDDC", "size": 6, "moves": 2, "solution": ["C^2", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooooBBBoooooooCAAoooCooDDDC\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>4\n"]}} {"board": "AAoooBoooooBoCoooooCoDDDoooooooooEEo", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoooBoooooBoCoooooCoDDDoooooooooEEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "BBBoooooooooCoooooCooAADCooooDoEEEoD", "size": 6, "moves": 2, "solution": ["D^3", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBoooooooooCoooooCooAADCooooDoEEEoD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^3,A>1\n"]}} {"board": "oooooBoooooBAAoooBooooooCCoooooooooo", "size": 6, "moves": 2, "solution": ["Bv3", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoooooBAAoooBooooooCCoooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv3,A>4\n"]}} {"board": "oBBBoooCoooooCAADooEooDooEoooooEoooo", "size": 6, "moves": 2, "solution": ["D^2", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBoooCoooooCAADooEooDooEoooooEoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,A>2\n"]}} {"board": "oooooooooooBAAoooBCDDooBCoooooCooooo", "size": 6, "moves": 2, "solution": ["Bv2", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooBAAoooBCDDooBCoooooCooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>4\n"]}} {"board": "AAooBooCCoBooooDooEooDooEooFooEooFoo", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAooBooCCoBooooDooEooDooEooFooEooFoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oooooooooooooBBBoCoooAACoooDoCoooDoo", "size": 6, "moves": 2, "solution": ["C^2", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooooBBBoCoooAACoooDoCoooDoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>1\n"]}} {"board": "ooooooooooooAAooBoCoDoBoCoDEEooooooo", "size": 6, "moves": 2, "solution": ["B^2", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooooAAooBoCoDoBoCoDEEooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^2,A>4\n"]}} {"board": "ooBBBoooooooAAoooCoooooCoooDDCoooooo", "size": 6, "moves": 2, "solution": ["Cv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBoooooooAAoooCoooooCoooDDCoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>4\n"]}} {"board": "BBBooooooooCDoAAoCDEFFFGDEHooGoEHIIG", "size": 6, "moves": 2, "solution": ["C^1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBooooooooCDoAAoCDEFFFGDEHooGoEHIIG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>2\n"]}} {"board": "BBBooooooooCoAAooCooooDDooooEoooooEo", "size": 6, "moves": 2, "solution": ["C^1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBooooooooCoAAooCooooDDooooEoooooEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>3\n"]}} {"board": "oBoAACDBoooCDBEFFCGHEIIoGHEJJJGHoKKo", "size": 6, "moves": 2, "solution": ["Cv1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoAACDBoooCDBEFFCGHEIIoGHEJJJGHoKKo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>1\n"]}} {"board": "ooooBoAAooBoCCooBoDoooooDooooooooooo", "size": 6, "moves": 2, "solution": ["Bv2", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoAAooBoCCooBoDoooooDooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>4\n"]}} {"board": "oooooooooAABooCCCBoDoooooDEoFFooEoGG", "size": 6, "moves": 2, "solution": ["Bv1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooAABooCCCBoDoooooDEoFFooEoGG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>1\n"]}} {"board": "ooooBooAAoBoooooooooooooooCCoooooooo", "size": 6, "moves": 2, "solution": ["Bv2", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBooAAoBoooooooooooooooCCoooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>3\n"]}} {"board": "oooBBBoAAoCoooooCoDEEFCoDooFooDooFoo", "size": 6, "moves": 2, "solution": ["Cv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBoAAoCoooooCoDEEFCoDooFooDooFoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>3\n"]}} {"board": "oooooooooBoCoooBoCoooBoCAADoooooDooo", "size": 6, "moves": 2, "solution": ["D^2", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBoCoooBoCoooBoCAADoooooDooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,A>4\n"]}} {"board": "oooAABoooooBoooCCooooDDDoooooooooooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooAABoooooBoooCCooooDDDoooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>1\n"]}} {"board": "AAoBoooCCBooooooooooDoEoFGDoEoFGDoEo", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoBoooCCBooooooooooDoEoFGDoEoFGDoEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oooooooooooooooooooBoooooBoCoooAACoo", "size": 6, "moves": 2, "solution": ["C^1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooooooooooBoooooBoCoooAACoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>3\n"]}} {"board": "oAAooBoCCCoBoooooBooDDoooooooooooooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAooBoCCCoBoooooBooDDoooooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "ooooooooooooAABoooooBoooCDDDEoCoooEo", "size": 6, "moves": 2, "solution": ["B^2", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooooAABoooooBoooCDDDEoCoooEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^2,A>4\n"]}} {"board": "AABoooCCBoooooBoooooooDoEoooDoEooooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AABoooCCBoooooBoooooooDoEoooDoEooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oooooooooooBoooooBoAAooBCDDoooCoEEEo", "size": 6, "moves": 2, "solution": ["B^1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooBoooooBoAAooBCDDoooCoEEEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,A>3\n"]}} {"board": "ooooooooooooooooooAAooBoooooBoooooCC", "size": 6, "moves": 2, "solution": ["B^2", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooooooooooAAooBoooooBoooooCC\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^2,A>4\n"]}} {"board": "oBBBooooAAoCoooooCDDDoECooooEooFFGGG", "size": 6, "moves": 2, "solution": ["Cv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBooooAAoCoooooCDDDoECooooEooFFGGG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>2\n"]}} {"board": "ooooooBoooooBoooooAAooCoooooCoooooCo", "size": 6, "moves": 2, "solution": ["C^3", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooBoooooBoooooAAooCoooooCoooooCo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^3,A>4\n"]}} {"board": "BooCooBooCooBooCooooDDDEFoAAoEFooooE", "size": 6, "moves": 2, "solution": ["E^2", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BooCooBooCooBooCooooDDDEFoAAoEFooooE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^2,A>2\n"]}} {"board": "oAAooBoCCCoBDEEEooDooFGHDoIFGHJJIFGH", "size": 6, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAooBoCCCoBDEEEooDooFGHDoIFGHJJIFGH\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "oAAooBCCDoEBooDoEoooDoEoFFGGGooooHHH", "size": 6, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAooBCCDoEBooDoEoooDoEoFFGGGooooHHH\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "AAoooBCCCooBDoooooDEoFFooEooooooGGoo", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoooBCCCooBDoooooDEoFFooEooooooGGoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oooooBooAAoBoooooBCCooDoooooDoooEEDo", "size": 6, "moves": 2, "solution": ["Bv2", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBooAAoBoooooBCCooDoooooDoooEEDo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>2\n"]}} {"board": "ooooooooooBoAAooBoCCooBoDDoooooooooo", "size": 6, "moves": 2, "solution": ["Bv2", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooBoAAooBoCCooBoDDoooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>4\n"]}} {"board": "ooooooAABoooooBoooooBooCoooooCoDDooC", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooAABoooooBoooooBooCoooooCoDDooC\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oAAoBoooooBoooooooooCoooooCDDDEEoooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAoBoooooBoooooooooCoooooCDDDEEoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "oAABoooooBoooooBooCoooooCooDDDCooooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAABoooooBoooooBooCoooooCooDDDCooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "BooAACBooooCBoooDCoEEEDooooooooooooo", "size": 6, "moves": 2, "solution": ["Cv1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BooAACBooooCBoooDCoEEEDooooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>1\n"]}} {"board": "oBAACooBooCooDEECoFDGGoHFoooIHFoooIH", "size": 6, "moves": 2, "solution": ["Cv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBAACooBooCooDEECoFDGGoHFoooIHFoooIH\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>2\n"]}} {"board": "oooBBBAACoooooCDDoooCoooooooooEEoooo", "size": 6, "moves": 2, "solution": ["Cv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBAACoooooCDDoooCoooooooooEEoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>4\n"]}} {"board": "BBBooCDDDEFCGooEFCGooAAHooIIIHoJJJoo", "size": 6, "moves": 2, "solution": ["Hv1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBooCDDDEFCGooEFCGooAAHooIIIHoJJJoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nHv1,A>1\n"]}} {"board": "oooAABoooCDBEEECDBFGGCDoFooHHHFIIIJJ", "size": 6, "moves": 2, "solution": ["Bv1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooAABoooCDBEEECDBFGGCDoFooHHHFIIIJJ\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>1\n"]}} {"board": "oBBBooAAoCooDDDCEEFFFCGGHHIoJKLLIoJK", "size": 6, "moves": 2, "solution": ["Cv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBooAAoCooDDDCEEFFFCGGHHIoJKLLIoJK\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>4\n"]}} {"board": "oAAooBoooooBooooooooCoooooCoooooCDDo", "size": 6, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAooBoooooBooooooooCoooooCoooooCDDo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "oBoooooBCCCoDoooooDEooooDEoAAFoEGGoF", "size": 6, "moves": 2, "solution": ["F^2", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoooooBCCCoDoooooDEooooDEoAAFoEGGoF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^2,A>1\n"]}} {"board": "BAAoCoBoDoCoBoDoCoEEoooFGGGHHFoooooF", "size": 6, "moves": 2, "solution": ["Cv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BAAoCoBoDoCoBoDoCoEEoooFGGGHHFoooooF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>3\n"]}} {"board": "oooooooAABoooooBoooCooDDoCoEoooCoEoo", "size": 6, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooAABoooooBoooCooDDoCoEoooCoEoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "ooooooBBBCCCooooooAAooDoooooDooooooo", "size": 6, "moves": 2, "solution": ["Dv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooBBBCCCooooooAAooDoooooDooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,A>4\n"]}} {"board": "oooooooooBoooooBooAAoBoooooCoooooCoo", "size": 6, "moves": 2, "solution": ["B^1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBoooooBooAAoBoooooCoooooCoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,A>4\n"]}} {"board": "AAooBooooCBooooCooDDooooooEoFoooEoFo", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAooBooooCBooooCooDDooooooEoFoooEoFo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "BoooooBooAACDDDEoCoFFEooGGoEoooooHHH", "size": 6, "moves": 2, "solution": ["Cv1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoooooBooAACDDDEoCoFFEooGGoEoooooHHH\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>1\n"]}} {"board": "oooooooooooBoooooBCCCoDoooAADooEEEDo", "size": 6, "moves": 2, "solution": ["D^2", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooBoooooBCCCoDoooAADooEEEDo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,A>2\n"]}} {"board": "ooooooBoooooBAAooCBoDooCEEDooCooDFFo", "size": 6, "moves": 2, "solution": ["Cv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooBoooooBAAooCBoDooCEEDooCooDFFo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>3\n"]}} {"board": "oooooooooBooAAoBoooooooooooCoDoooCoD", "size": 6, "moves": 2, "solution": ["B^1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBooAAoBoooooooooooCoDoooCoD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,A>4\n"]}} {"board": "oooAABooCCCBoooDoooooDoEoFoDoEoFoooE", "size": 6, "moves": 2, "solution": ["Bv1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooAABooCCCBoooDoooooDoEoFoDoEoFoooE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>1\n"]}} {"board": "BoooooBooAACBDoooCoDoooCoooooooooEEE", "size": 6, "moves": 2, "solution": ["Cv1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoooooBooAACBDoooCoDoooCoooooooooEEE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>1\n"]}} {"board": "ooooBoooooBoAAooBoCCCooDoEEEoDoooooD", "size": 6, "moves": 2, "solution": ["Bv3", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoooooBoAAooBoCCCooDoEEEoDoooooD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv3,A>4\n"]}} {"board": "ooBooooCBooooCBooooAAoDoooooDoooooDo", "size": 6, "moves": 2, "solution": ["D^3", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBooooCBooooCBooooAAoDoooooDoooooDo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^3,A>3\n"]}} {"board": "BoooCoBoAACoDEooooDEooooDooooooooooo", "size": 6, "moves": 2, "solution": ["Cv2", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoooCoBoAACoDEooooDEooooDooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,A>2\n"]}} {"board": "oooooooBooCoDBAACoDBEEoFDooooFooGGGF", "size": 6, "moves": 2, "solution": ["C^1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooBooCoDBAACoDBEEoFDooooFooGGGF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>2\n"]}} {"board": "oooooooooBBBoCCCoooooooDoooooDAAoooD", "size": 6, "moves": 2, "solution": ["D^1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBBBoCCCoooooooDoooooDAAoooD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>4\n"]}} {"board": "oBoCCCoBDAAEooDFGEHIDFGoHIJJooHIooKK", "size": 6, "moves": 2, "solution": ["Ev1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoCCCoBDAAEooDFGEHIDFGoHIJJooHIooKK\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,A>1\n"]}} {"board": "oooooBoooooBooCoooooCoDoooAADoooooDo", "size": 6, "moves": 2, "solution": ["D^2", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoooooBooCoooooCoDoooAADoooooDo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,A>2\n"]}} {"board": "BBBooooooooooAAooCoooooCoooooooooooo", "size": 6, "moves": 2, "solution": ["C^2", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBooooooooooAAooCoooooCoooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>3\n"]}} {"board": "ooooBoCCCoBoAAoooDoooooDooEEEDoooooo", "size": 6, "moves": 2, "solution": ["Dv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoCCCoBoAAoooDoooooDooEEEDoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,A>4\n"]}} {"board": "oBoooooBoooCAAoooCDDDEEEFFFoGoooooGo", "size": 6, "moves": 2, "solution": ["C^1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoooooBoooCAAoooCDDDEEEFFFoGoooooGo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>4\n"]}} {"board": "oooooooooBoooAABoooooBoooCCooooooooo", "size": 6, "moves": 2, "solution": ["Bv2", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBoooAABoooooBoooCCooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>3\n"]}} {"board": "oBoAACoBooDCoBooDooooooooEEooFoGGooF", "size": 6, "moves": 2, "solution": ["Cv1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoAACoBooDCoBooDooooooooEEooFoGGooF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>1\n"]}} {"board": "ooooooooooBoooAABoCDooooCDooooCDoooo", "size": 6, "moves": 2, "solution": ["B^1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooBoooAABoCDooooCDooooCDoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,A>2\n"]}} {"board": "BBBooooooooCoAAooCDEoFFCDEooooDGGooo", "size": 6, "moves": 2, "solution": ["Cv2", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBooooooooCoAAooCDEoFFCDEooooDGGooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,A>3\n"]}} {"board": "oooooBAAoooBooooooooCoooooCoDDooCEEo", "size": 6, "moves": 2, "solution": ["Bv2", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBAAoooBooooooooCoooooCoDDooCEEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>4\n"]}} {"board": "ooooBCooooBCoAADoooEFDoooEFDoooEFooo", "size": 6, "moves": 2, "solution": ["Dv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBCooooBCoAADoooEFDoooEFDoooEFooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,A>3\n"]}} {"board": "BoCCCDBAAooDBoooooooEoFoooEoFoGGooFo", "size": 6, "moves": 2, "solution": ["Dv2", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoCCCDBAAooDBoooooooEoFoooEoFoGGooFo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv2,A>3\n"]}} {"board": "BoooooBoooooBooCoooAACooDoooooDooooo", "size": 6, "moves": 2, "solution": ["C^1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoooooBoooooBooCoooAACooDoooooDooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>3\n"]}} {"board": "oAAoBooCooBooCooBooooooDoEoooDoEoFFD", "size": 6, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAoBooCooBooCooBooooooDoEoooDoEoFFD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "ooAAoBooCCoBDDoooBooooooooooooEEoooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAAoBooCCoBDDoooBooooooooooooEEoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "oooBoooooBoooooBoooAAooCDooooCDooooC", "size": 6, "moves": 2, "solution": ["C^3", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoooooBoooooBoooAAooCDooooCDooooC\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^3,A>3\n"]}} {"board": "BBBooooooooooooooooCAADooCooDooCoooo", "size": 6, "moves": 2, "solution": ["D^2", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBooooooooooooooooCAADooCooDooCoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,A>2\n"]}} {"board": "BoooooBooCCCoooooDoAAooDoEEooooooooo", "size": 6, "moves": 2, "solution": ["Dv2", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoooooBooCCCoooooDoAAooDoEEooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv2,A>3\n"]}} {"board": "oooBBBoCCCooooAAoDooooEDooooEDFFooEo", "size": 6, "moves": 2, "solution": ["Dv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBoCCCooooAAoDooooEDooooEDFFooEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,A>2\n"]}} {"board": "oooBBBCCCooooDAAoEoDoFGEoooFGoHHHooo", "size": 6, "moves": 2, "solution": ["Ev1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBCCCooooDAAoEoDoFGEoooFGoHHHooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,A>2\n"]}} {"board": "oAAoBoooooBooCCoBooDoooooDoEEooDoooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAoBoooooBooCCoBooDoooooDoEEooDoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "oBBBooAAooCoooDoCoooDoooooDooooooooo", "size": 6, "moves": 2, "solution": ["Cv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBooAAooCoooDoCoooDoooooDooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>4\n"]}} {"board": "AAooBoooCoBoooCDBEFFoDoEooGGoEoHHoII", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAooBoooCoBoooCDBEFFoDoEooGGoEoHHoII\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "ooooooooooooBooAACBDEooCoDEooCoDoooo", "size": 6, "moves": 2, "solution": ["Cv1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooooBooAACBDEooCoDEooCoDoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>1\n"]}} {"board": "oooAABoCoooBoCoDooEFoDGGEFoDooEooooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooAABoCoooBoCoDooEFoDGGEFoDooEooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>1\n"]}} {"board": "ooooooooooooAAoBoooooBoooooooooooCCo", "size": 6, "moves": 2, "solution": ["B^2", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooooAAoBoooooBoooooooooooCCo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^2,A>4\n"]}} {"board": "ooooooooBBBoAAoCoooDDCoooooooooEEoFF", "size": 6, "moves": 2, "solution": ["Cv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooBBBoAAoCoooDDCoooooooooEEoFF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>4\n"]}} {"board": "ooBAACDoBooCDEEEooFFFGoHIIoGoHooJJJH", "size": 6, "moves": 2, "solution": ["Cv1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBAACDoBooCDEEEooFFFGoHIIoGoHooJJJH\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>1\n"]}} {"board": "oooooBAAoooBoCCooooooooooDDooooooooo", "size": 6, "moves": 2, "solution": ["Bv2", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBAAoooBoCCooooooooooDDooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>4\n"]}} {"board": "oooooooBooooCBooDoCoAADoooooDooooooo", "size": 6, "moves": 2, "solution": ["D^2", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooBooooCBooDoCoAADoooooDooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,A>2\n"]}} {"board": "ooooooBBBoooooooooCooooDCoEAADCoEooD", "size": 6, "moves": 2, "solution": ["D^2", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooBBBoooooooooCooooDCoEAADCoEooD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,A>1\n"]}} {"board": "ooBCCCooBoooooAAoDooooEDooooEDoFFFEo", "size": 6, "moves": 2, "solution": ["Dv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBCCCooBoooooAAoDooooEDooooEDoFFFEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,A>2\n"]}} {"board": "BoAACoBoooCoooooCooooooooooooooDDooo", "size": 6, "moves": 2, "solution": ["Cv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoAACoBoooCoooooCooooooooooooooDDooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>2\n"]}} {"board": "oooBCooooBCooooBCDoooooDooAAoDoooooo", "size": 6, "moves": 2, "solution": ["D^1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBCooooBCooooBCDoooooDooAAoDoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>2\n"]}} {"board": "ooooooBBBooooCoAADoCEooDooEFGGooEFoo", "size": 6, "moves": 2, "solution": ["D^2", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooBBBooooCoAADoCEooDooEFGGooEFoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,A>1\n"]}} {"board": "oAAooBoooooBooooooooCoooDoCEEEDoCooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAooBoooooBooooooooCoooDoCEEEDoCooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "oooooooooooooooooBooAAoBooCCCooooooo", "size": 6, "moves": 2, "solution": ["B^1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooooooooBooAAoBooCCCooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,A>2\n"]}} {"board": "BAAoCoBDooCooDoooooDooooooooEEoooooo", "size": 6, "moves": 2, "solution": ["Cv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BAAoCoBDooCooDoooooDooooooooEEoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>3\n"]}} {"board": "oooooooooooooBBBooooAACoooooCoDDDooo", "size": 6, "moves": 2, "solution": ["C^2", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooooBBBooooAACoooooCoDDDooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>2\n"]}} {"board": "oooooBooooCBoDAACooDoooooEEoooooFFoo", "size": 6, "moves": 2, "solution": ["C^1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBooooCBoDAACooDoooooEEoooooFFoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>2\n"]}} {"board": "AAoooBCCCooBooooooDEEFooDooFooDooFoo", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoooBCCCooBooooooDEEFooDooFooDooFoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oooooBoooooBCooDoBCooDooCEEEFooAAoFo", "size": 6, "moves": 2, "solution": ["F^1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoooooBCooDoBCooDooCEEEFooAAoFo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,A>3\n"]}} {"board": "oooooooooBoooooBooAAoBooooCCCooooooo", "size": 6, "moves": 2, "solution": ["B^1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBoooooBooAAoBooooCCCooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,A>4\n"]}} {"board": "BCooooBCoooDBoEAADoFEooDoFEooooFoooo", "size": 6, "moves": 2, "solution": ["Dv2", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BCooooBCoooDBoEAADoFEooDoFEooooFoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv2,A>1\n"]}} {"board": "oooooooBooooCBoAADCBEEEDCFFFoooooGGo", "size": 6, "moves": 2, "solution": ["D^2", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooBooooCBoAADCBEEEDCFFFoooooGGo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,A>1\n"]}} {"board": "ooBoooooBoooooooooooooooAAooCoooooCo", "size": 6, "moves": 2, "solution": ["C^2", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoooooBoooooooooooooooAAooCoooooCo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>4\n"]}} {"board": "oooBCooooBCooooooooooAADoooooDooEEoo", "size": 6, "moves": 2, "solution": ["D^2", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBCooooBCooooooooooAADoooooDooEEoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,A>1\n"]}} {"board": "ooBBBooooCCCooAAoDoEoFoDoEoFoooEGGoo", "size": 6, "moves": 2, "solution": ["Dv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBooooCCCooAAoDoEoFoDoEoFoooEGGoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,A>2\n"]}} {"board": "ooooooooooBoCoAABoCoooooDDEEooooooFF", "size": 6, "moves": 2, "solution": ["B^1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooBoCoAABoCoooooDDEEooooooFF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,A>2\n"]}} {"board": "ooBBBooooooooCCCooooAAoDoooooDoooooD", "size": 6, "moves": 2, "solution": ["D^3", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBooooooooCCCooooAAoDoooooDoooooD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^3,A>2\n"]}} {"board": "oooooBoAAooBoCCoooDEFFGoDEooGoDEooGo", "size": 6, "moves": 2, "solution": ["Bv2", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoAAooBoCCoooDEFFGoDEooGoDEooGo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>3\n"]}} {"board": "oBoooooBAAoCDDDooCoEFooooEFGGooEFooo", "size": 6, "moves": 2, "solution": ["Cv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoooooBAAoCDDDooCoEFooooEFGGooEFooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>2\n"]}} {"board": "oooooooooooooooooBooCAABooCooBooCooo", "size": 6, "moves": 2, "solution": ["B^2", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooooooooBooCAABooCooBooCooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^2,A>1\n"]}} {"board": "oooooooooooooooooooAAooBoooooBoooCCo", "size": 6, "moves": 2, "solution": ["B^2", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooooooooooAAooBoooooBoooCCo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^2,A>3\n"]}} {"board": "ooooooooAAoBooCooBooCoooDDoooooooooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooAAoBooCooBooCoooDDoooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "oBoooooBoCDooooCDoooooDEFooAAEFooooE", "size": 6, "moves": 2, "solution": ["E^2", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoooooBoCDooooCDoooooDEFooAAEFooooE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^2,A>1\n"]}} {"board": "oooooBCooooBCooooBCoDAAEooDooEooDooo", "size": 6, "moves": 2, "solution": ["Ev1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBCooooBCooooBCoDAAEooDooEooDooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,A>1\n"]}} {"board": "ooBoooAABoooooooooCoooooCoooDDCooEEE", "size": 6, "moves": 2, "solution": ["Bv2", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoooAABoooooooooCoooooCoooDDCooEEE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>4\n"]}} {"board": "oooooooooBBBCooDooCooDoECooDFEoAAoFo", "size": 6, "moves": 2, "solution": ["F^1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBBBCooDooCooDoECooDFEoAAoFo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,A>3\n"]}} {"board": "oooooBooAAoBoooooBooooooCCCooooooDDo", "size": 6, "moves": 2, "solution": ["Bv2", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBooAAoBoooooBooooooCCCooooooDDo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>2\n"]}} {"board": "oooBBBAACoooooCoooooCooooooooooooooo", "size": 6, "moves": 2, "solution": ["Cv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBAACoooooCoooooCooooooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>4\n"]}} {"board": "oooooBoAAooBooooooooooooooCCDDoooooo", "size": 6, "moves": 2, "solution": ["Bv2", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoAAooBooooooooooooooCCDDoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>3\n"]}} {"board": "ooooooAAoooBooCDDBooCooBoEoooooEFFFo", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooAAoooBooCDDBooCooBoEoooooEFFFo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "BoooooBoooooBooAACDooooCDooooEoooooE", "size": 6, "moves": 2, "solution": ["C^2", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoooooBoooooBooAACDooooCDooooEoooooE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>1\n"]}} {"board": "oooooooooooBAAoooBooCooBooCoooooCooo", "size": 6, "moves": 2, "solution": ["Bv2", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooBAAoooBooCooBooCoooooCooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>4\n"]}} {"board": "ooooooooooooooBoooooBoooCoBoDoCAAoDo", "size": 6, "moves": 2, "solution": ["D^1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooooooBoooooBoooCoBoDoCAAoDo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>3\n"]}} {"board": "ooooooBoCoooBoCooooooAADEooooDEFFooD", "size": 6, "moves": 2, "solution": ["D^3", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooBoCoooBoCooooooAADEooooDEFFooD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^3,A>1\n"]}} {"board": "AAooBoooooBooCooBooCooooDEEEooDoooFF", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAooBoooooBooCooBooCooooDEEEooDoooFF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "ooBoooooBCooAAoCooooooooooDDoooEEEoo", "size": 6, "moves": 2, "solution": ["C^1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoooooBCooAAoCooooooooooDDoooEEEoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>4\n"]}} {"board": "oAAooBoooooBCoooooCoDoEEooDoooooDooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAooBoooooBCoooooCoDoEEooDoooooDooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "BoooooBooooooooCoooooCoooooCoDAAoooD", "size": 6, "moves": 2, "solution": ["D^1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoooooBooooooooCoooooCoooooCoDAAoooD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>4\n"]}} {"board": "ooBoooooBoooooAACoooDDCooooooooooooo", "size": 6, "moves": 2, "solution": ["C^2", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoooooBoooooAACoooDDCooooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>2\n"]}} {"board": "AAooBoooCCBooDDoBoooooooooooooEEEooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAooBoooCCBooDDoBoooooooooooooEEEooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oAAooBoooooBoooooooooCCCoDDDEEooFFFo", "size": 6, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAooBoooooBoooooooooCCCoDDDEEooFFFo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "AAooBoooooBoooooBoooooooooCoooooCooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAooBoooooBoooooBoooooooooCoooooCooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "BBBoooooAACoooooCooDDoCoEEoooooooFFF", "size": 6, "moves": 2, "solution": ["Cv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBoooooAACoooooCooDDoCoEEoooooooFFF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>2\n"]}} {"board": "oooooooooBooooCBooooCBDooAAoDoooooDo", "size": 6, "moves": 2, "solution": ["D^2", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBooooCBooooCBDooAAoDoooooDo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,A>3\n"]}} {"board": "ooooooooBoCoooBoCoDEAACoDEoFFoDEoooo", "size": 6, "moves": 2, "solution": ["C^1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooBoCoooBoCoDEAACoDEoFFoDEoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>2\n"]}} {"board": "ooooooAAoooBoooooBoooCooDDDCoooEECoo", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooAAoooBoooooBoooCooDDDCoooEECoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "BoooooBAAooCBooooCDooEoCDooEoooooooo", "size": 6, "moves": 2, "solution": ["Cv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoooooBAAooCBooooCDooEoCDooEoooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>3\n"]}} {"board": "oAAooBooCCCBooDDDBoEoFGooEoFGHoooFoH", "size": 6, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAooBooCCCBooDDDBoEoFGooEoFGHoooFoH\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "ooBoooooBoooooBCoooooCoooAACooooDDDo", "size": 6, "moves": 2, "solution": ["C^1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoooooBoooooBCoooooCoooAACooooDDDo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>3\n"]}} {"board": "oAAooBoCCooBoDDDEoFoGGEHFoIIJHFoooJH", "size": 6, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAooBoCCooBoDDDEoFoGGEHFoIIJHFoooJH\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "oooooBAAoooBoooooBoCDDoooCEEEooCooFF", "size": 6, "moves": 2, "solution": ["Bv2", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBAAoooBoooooBoCDDoooCEEEooCooFF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>4\n"]}} {"board": "AAooBoCCoDBooEEDoFoGHooFoGHIIFoGHJJo", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAooBoCCoDBooEEDoFoGHooFoGHIIFoGHJJo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "BoCoDoBoCoDEooooDEoFGAAEHFGoIIHFGooo", "size": 6, "moves": 2, "solution": ["E^1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoCoDoBoCoDEooooDEoFGAAEHFGoIIHFGooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,A>1\n"]}} {"board": "AAoBoooCoBDDECooFFECGoooEoGoooooGHHH", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoBoooCoBDDECooFFECGoooEoGoooooGHHH\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "AABoooooBoooooooooCCDDoooooooooooooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AABoooooBoooooooooCCDDoooooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oBAAoCoBooDCoBooDCooooEoooooEoooooEo", "size": 6, "moves": 2, "solution": ["Cv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBAAoCoBooDCoBooDCooooEoooooEoooooEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>2\n"]}} {"board": "oAAooBoooooBooooCBooDoCooEDooooEFFoo", "size": 6, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAooBoooooBooooCBooDoCooEDooooEFFoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "oooooBCCCooBooAAoBooooooDDoooooEEEoo", "size": 6, "moves": 2, "solution": ["Bv3", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBCCCooBooAAoBooooooDDoooooEEEoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv3,A>2\n"]}} {"board": "BooCCCBDoAAEBDFooEoGFHoEIGoHooIGoHJJ", "size": 6, "moves": 2, "solution": ["Ev1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BooCCCBDoAAEBDFooEoGFHoEIGoHooIGoHJJ\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,A>1\n"]}} {"board": "oBBBooCoooooCooooDEoooFDEAAoFoEoooFo", "size": 6, "moves": 2, "solution": ["F^2", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBooCoooooCooooDEoooFDEAAoFoEoooFo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^2,A>3\n"]}} {"board": "oooBBBoCCCooDoAAoEDoFGHEooFGHooIIJJJ", "size": 6, "moves": 2, "solution": ["Ev1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBoCCCooDoAAoEDoFGHEooFGHooIIJJJ\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,A>2\n"]}} {"board": "ooAABoCCDoBoEFDoooEFDoooooGGooHHoIII", "size": 6, "moves": 2, "solution": ["Bv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAABoCCDoBoEFDoooEFDoooooGGooHHoIII\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "oooooBoooooBoooooBoooAACoooDoCEEoDoo", "size": 6, "moves": 2, "solution": ["Cv1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoooooBoooooBoooAACoooDoCEEoDoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>1\n"]}} {"board": "ooooooooooBoooooBoAAooBoooooooooooCC", "size": 6, "moves": 2, "solution": ["B^1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooBoooooBoAAooBoooooooooooCC\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,A>4\n"]}} {"board": "oAABoooooBoooooooooooooooCCoDDoooooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAABoooooBoooooooooooooooCCoDDoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "BoooooBooooooooooooCoooDoCoooDoCAAoD", "size": 6, "moves": 2, "solution": ["D^1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoooooBooooooooooooCoooDoCoooDoCAAoD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>2\n"]}} {"board": "oooooooAABoooooBoooCCBoooDoooooDoEEE", "size": 6, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooAABoooooBoooCCBoooDoooooDoEEE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "ooooooooooooooooooooAAoBoooooBCCoDDD", "size": 6, "moves": 2, "solution": ["B^2", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooooooooooooAAoBoooooBCCoDDD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^2,A>2\n"]}} {"board": "ooooooooBBBoooooooooAAoCoooDECoooDEC", "size": 6, "moves": 2, "solution": ["C^3", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooBBBoooooooooAAoCoooDECoooDEC\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^3,A>2\n"]}} {"board": "oooooBoooooBCoooDoCEAADoCEooDooEoFFF", "size": 6, "moves": 2, "solution": ["D^2", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoooooBCoooDoCEAADoCEooDooEoFFF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,A>2\n"]}} {"board": "BCooooBCDEooBCDEoooooEoooAAoFooGGGFo", "size": 6, "moves": 2, "solution": ["F^2", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BCooooBCDEooBCDEoooooEoooAAoFooGGGFo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^2,A>3\n"]}} {"board": "AAoooBCDDDoBCooEooFFoEoooooEooooGGGo", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoooBCDDDoBCooEooFFoEoooooEooooGGGo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "ooBoCoDEBoCoDEoFFFDoAAoGoHHIIGJJJKKo", "size": 6, "moves": 2, "solution": ["Gv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoCoDEBoCoDEoFFFDoAAoGoHHIIGJJJKKo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nGv1,A>2\n"]}} {"board": "oAABoooooBooCCooooooDDDEooFFoEoGGGoE", "size": 6, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAABoooooBooCCooooooDDDEooFFoEoGGGoE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "AAoBooooCBDoooCoDoooooEoooooEoFFGGEo", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoBooooCBDoooCoDoooooEoooooEoFFGGEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "BBBooooooAACoooooCoDDoooEoooooEooooo", "size": 6, "moves": 2, "solution": ["Cv1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBooooooAACoooooCoDDoooEoooooEooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>1\n"]}} {"board": "oooooooooBooCCCBoooAABoooDDDEoooooEo", "size": 6, "moves": 2, "solution": ["B^1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBooCCCBoooAABoooDDDEoooooEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,A>3\n"]}} {"board": "ooooooAAoBoooooBoooCoBDDoCooEooCooEo", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooAAoBoooooBoooCoBDDoCooEooCooEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oooBBBoooooooooAACDEEooCDoooooDooFFF", "size": 6, "moves": 2, "solution": ["Cv1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBoooooooooAACDEEooCDoooooDooFFF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>1\n"]}} {"board": "oooBBBCAADooCooDEEFGHoooFGHIIIFGHoJJ", "size": 6, "moves": 2, "solution": ["Dv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBCAADooCooDEEFGHoooFGHIIIFGHoJJ\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,A>3\n"]}} {"board": "ooooBoooAABoooCoBooDCEooFDCEooFooEGG", "size": 6, "moves": 2, "solution": ["Bv2", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoooAABoooCoBooDCEooFDCEooFooEGG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>2\n"]}} {"board": "ooAAoBooCooBooCooBoooooooDoooooDoooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAAoBooCooBooCooBoooooooDoooooDoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "ooAAoBoooooBooooooCDEEFFCDoGooCDoGoo", "size": 6, "moves": 2, "solution": ["Bv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAAoBoooooBooooooCDEEFFCDoGooCDoGoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "oooBoooooBoCoooAACoDDooooooEEEoooFFF", "size": 6, "moves": 2, "solution": ["C^1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoooooBoCoooAACoDDooooooEEEoooFFF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>1\n"]}} {"board": "BBBoooAAooCoDoooCoDoooooEEoFFFGGGooo", "size": 6, "moves": 2, "solution": ["Cv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBoooAAooCoDoooCoDoooooEEoFFFGGGooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>4\n"]}} {"board": "AABoooCCBooooooooDoEEEFDooooFoooooFo", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AABoooCCBooooooooDoEEEFDooooFoooooFo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "AAoBoooooBooCCooooooooDoooooDoEEEoDo", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoBoooooBooCCooooooooDoooooDoEEEoDo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oooooooooBoooAABooCCoDDoEoooooEoFFFo", "size": 6, "moves": 2, "solution": ["B^1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBoooAABooCCoDDoEoooooEoFFFo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,A>3\n"]}} {"board": "oooooBoCAAoBoCoDoBooEDFoooEDFoooEoFo", "size": 6, "moves": 2, "solution": ["Bv2", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoCAAoBoCoDoBooEDFoooEDFoooEoFo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>2\n"]}} {"board": "oBBBooooAAoCooooDCoEooDooEFFDooEGGGo", "size": 6, "moves": 2, "solution": ["Cv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBooooAAoCooooDCoEooDooEFFDooEGGGo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>2\n"]}} {"board": "AABoooCoBoooCoBDDDCoooooEEEFFGoooooG", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AABoooCoBoooCoBDDDCoooooEEEFFGoooooG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oooAABooooCBDoooCBDoooCoDooEFooooEFo", "size": 6, "moves": 2, "solution": ["Bv1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooAABooooCBDoooCBDoooCoDooEFooooEFo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>1\n"]}} {"board": "oooooBoAAooBoooooBoCCoooooooDoEEooDo", "size": 6, "moves": 2, "solution": ["Bv2", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoAAooBoooooBoCCoooooooDoEEooDo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>3\n"]}} {"board": "AAooBoooooBoooCoBoooCoooooCoooDDoooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAooBoooooBoooCoBoooCoooooCoooDDoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oooBoooooBoooooBoCAAoooCoooooooooooo", "size": 6, "moves": 2, "solution": ["C^1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoooooBoooooBoCAAoooCoooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>4\n"]}} {"board": "oooooBoCAAoBoCooooDCoEooDooEooDoFFoo", "size": 6, "moves": 2, "solution": ["Bv2", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoCAAoBoCooooDCoEooDooEooDoFFoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>2\n"]}} {"board": "oAAooBooCCCBoooDDoEFFGGGEooHHHEooooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAooBooCCCBoooDDoEFFGGGEooHHHEooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "BoooooBCooooBCoDDDoAAoEoooooEooooooo", "size": 6, "moves": 2, "solution": ["Ev1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoooooBCooooBCoDDDoAAoEoooooEooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,A>3\n"]}} {"board": "oooooooooooooooBoooooBoCAAoooCoooooo", "size": 6, "moves": 2, "solution": ["C^1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooooooBoooooBoCAAoooCoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>4\n"]}} {"board": "AABoooCCBoooDoBoooDooooEoooooEoFFFoE", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AABoooCCBoooDoBoooDooooEoooooEoFFFoE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oooBBBoAAoCoooooCoooooCooDDoooooEEEo", "size": 6, "moves": 2, "solution": ["Cv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBoAAoCoooooCoooooCooDDoooooEEEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>3\n"]}} {"board": "ooooooooooBoooooBoooAABoooCDDEooCooE", "size": 6, "moves": 2, "solution": ["B^1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooBoooooBoooAABoooCDDEooCooE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,A>2\n"]}} {"board": "BoooooBoooooCCCooooooooDooEAADooEooD", "size": 6, "moves": 2, "solution": ["D^2", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoooooBoooooCCCooooooooDooEAADooEooD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,A>1\n"]}} {"board": "oAAooBoooooBooCCCoDEoooFDEoooFDEoooF", "size": 6, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAooBoooooBooCCCoDEoooFDEoooFDEoooF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "ooBBBCoDEEECoDFooGooFoHGoIooHGoIAAHo", "size": 6, "moves": 2, "solution": ["H^1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBCoDEEECoDFooGooFoHGoIooHGoIAAHo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nH^1,A>2\n"]}} {"board": "oooBBBoooCCCDooAAEDFFoGEDHHoGEoIIIGo", "size": 6, "moves": 2, "solution": ["Ev1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBoooCCCDooAAEDFFoGEDHHoGEoIIIGo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,A>1\n"]}} {"board": "BBBooCooAAoCDDDooCoEEooooFoooooFoGGo", "size": 6, "moves": 2, "solution": ["Cv2", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBooCooAAoCDDDooCoEEooooFoooooFoGGo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,A>2\n"]}} {"board": "oooooooBoooooBAAoCoBoooCDDDooCoooooo", "size": 6, "moves": 2, "solution": ["Cv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooBoooooBAAoCoBoooCDDDooCoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>2\n"]}} {"board": "oBBBoooooCooAAoCooDooCooDoooEEoFFooo", "size": 6, "moves": 2, "solution": ["Cv2", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBoooooCooAAoCooDooCooDoooEEoFFooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,A>4\n"]}} {"board": "oooooooBoooooBAACooBooCooooDDDooooEE", "size": 6, "moves": 2, "solution": ["C^2", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooBoooooBAACooBooCooooDDDooooEE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>2\n"]}} {"board": "oBoAACoBDDDCoBEEEooFGoHHIFGJJJIFoKKK", "size": 6, "moves": 2, "solution": ["Cv1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoAACoBDDDCoBEEEooFGoHHIFGJJJIFoKKK\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>1\n"]}} {"board": "ooooooooooooBCooDoBCAADoBoooDooooooo", "size": 6, "moves": 2, "solution": ["D^2", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooooBCooDoBCAADoBoooDooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,A>2\n"]}} {"board": "oBBBoooooooooooooCoooAACooooooDDDooo", "size": 6, "moves": 2, "solution": ["C^1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBoooooooooooooCoooAACooooooDDDooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>1\n"]}} {"board": "oAAooBoooCCBoooooBooooooooooooDDoooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAooBoooCCBoooooBooooooooooooDDoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "oooBBBooCoooooCDDDAACoooEEEFFFoooooo", "size": 6, "moves": 2, "solution": ["C^1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBooCoooooCDDDAACoooEEEFFFoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>4\n"]}} {"board": "oooBCooooBCoDoEoCoDFEooGoFEooGoFoAAG", "size": 6, "moves": 2, "solution": ["G^1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBCooooBCoDoEoCoDFEooGoFEooGoFoAAG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nG^1,A>1\n"]}} {"board": "oooooooooooooBoooooBoAACoooDDCoooooC", "size": 6, "moves": 2, "solution": ["C^3", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooooBoooooBoAACoooDDCoooooC\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^3,A>1\n"]}} {"board": "oooAABoooooBoooooBoCDDDooCoooEoCoooE", "size": 6, "moves": 2, "solution": ["Bv1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooAABoooooBoooooBoCDDDooCoooEoCoooE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>1\n"]}} {"board": "BBBCCCooDDDooEoFGooEHFGIJEHoGIJoHAAI", "size": 6, "moves": 2, "solution": ["I^1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBCCCooDDDooEoFGooEHFGIJEHoGIJoHAAI\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nI^1,A>1\n"]}} {"board": "oooooooAAoBoooooBooCCCBooooooooooooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooAAoBoooooBooCCCBooooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "oooooooooBoooAABooCooBDoCoooDoCooooo", "size": 6, "moves": 2, "solution": ["Bv2", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBoooAABooCooBDoCoooDoCooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>3\n"]}} {"board": "ooAABoCCooBooDDDBooEFooooEFoooGGFooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAABoCCooBooDDDBooEFooooEFoooGGFooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "oooooooooooooBBBoCoDDDoCoooAACEEoooo", "size": 6, "moves": 2, "solution": ["C^1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooooBBBoCoDDDoCoooAACEEoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>1\n"]}} {"board": "oooooooBoooooBooooAAoCoooooCDDEEECoo", "size": 6, "moves": 2, "solution": ["C^3", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooBoooooBooooAAoCoooooCDDEEECoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^3,A>4\n"]}} {"board": "oooooooAAooBoCCooBooDoooEoDFFoEoDooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooAAooBoCCooBooDoooEoDFFoEoDooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "oooBoooooBoooAACoooooCoDoooCoDoooooo", "size": 6, "moves": 2, "solution": ["Cv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoooooBoooAACoooooCoDoooCoDoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>3\n"]}} {"board": "ooooooooooooooooooBCoooDBCoooDBCAAoD", "size": 6, "moves": 2, "solution": ["D^1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooooooooooBCoooDBCoooDBCAAoD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>2\n"]}} {"board": "ooAAoBCCCDEBoooDEBoFoDGooFooGHIIIJJH", "size": 6, "moves": 2, "solution": ["Bv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAAoBCCCDEBoooDEBoFoDGooFooGHIIIJJH\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "BCCCooBoooooBooooDoooooDoooAADooooEE", "size": 6, "moves": 2, "solution": ["D^1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BCCCooBoooooBooooDoooooDoooAADooooEE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>1\n"]}} {"board": "ooBoCoooBoCooAADooEooDooEFFGGoEooooo", "size": 6, "moves": 2, "solution": ["D^2", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoCoooBoCooAADooEooDooEFFGGoEooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,A>3\n"]}} {"board": "oooAABoooooBoooooooooooCoooooCoDDDoC", "size": 6, "moves": 2, "solution": ["Bv1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooAABoooooBoooooooooooCoooooCoDDDoC\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>1\n"]}} {"board": "oAAooBoooooBooooooooCCoDoEEEoDoooooD", "size": 6, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAooBoooooBooooooooCCoDoEEEoDoooooD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "BBBoooooooCoAAooCooooDCEoooDoEoooooE", "size": 6, "moves": 2, "solution": ["Cv2", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBoooooooCoAAooCooooDCEoooDoEoooooE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,A>4\n"]}} {"board": "oAAooBCooooBCooDDBCoooooooooooEEEooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAooBCooooBCooDDBCoooooooooooEEEooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "BBBCCCooAAoDooEEEDFGoooDFGooooFooHHH", "size": 6, "moves": 2, "solution": ["Dv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBCCCooAAoDooEEEDFGoooDFGooooFooHHH\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,A>2\n"]}} {"board": "ooooooooAABoCCDoBEoFDoBEoFoooEoFGGoo", "size": 6, "moves": 2, "solution": ["Bv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooAABoCCDoBEoFDoBEoFoooEoFGGoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "ooooooooAAoBoooooBoCoooBoCDooooCDEEE", "size": 6, "moves": 2, "solution": ["Bv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooAAoBoooooBoCoooBoCDooooCDEEE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "oooooooooooooooBoooAABoooCoBoooCoooo", "size": 6, "moves": 2, "solution": ["B^2", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooooooBoooAABoooCoBoooCoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^2,A>3\n"]}} {"board": "oooooooAAooBoooCDBoooCDBoooooooooooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooAAooBoooCDBoooCDBoooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "oBoooooBAACoDoooCoDoooCooEoooooEoFFF", "size": 6, "moves": 2, "solution": ["Cv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoooooBAACoDoooCoDoooCooEoooooEoFFF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>2\n"]}} {"board": "oooBoooooBoooooBooooooooCoAAoDCooooD", "size": 6, "moves": 2, "solution": ["D^2", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoooooBoooooBooooooooCoAAoDCooooD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,A>2\n"]}} {"board": "AAooBoCCCoBoooooooooooooooDDDooooooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAooBoCCCoBoooooooooooooooDDDooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "ooAAoBoooCoBoooCoooooooDoooooDoooooD", "size": 6, "moves": 2, "solution": ["Bv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAAoBoooCoBoooCoooooooDoooooDoooooD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "ooooooooBBBCoAAooCoDDoECFFGGEooHHHoo", "size": 6, "moves": 2, "solution": ["Cv2", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooBBBCoAAooCoDDoECFFGGEooHHHoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,A>3\n"]}} {"board": "ooooooooooBoAAooBoooCoBoDDCooEFFCooE", "size": 6, "moves": 2, "solution": ["Bv2", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooBoAAooBoooCoBoDDCooEFFCooE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>4\n"]}} {"board": "ooooooBBBoooooAAoCDDooECooooEooFFFoo", "size": 6, "moves": 2, "solution": ["C^2", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooBBBoooooAAoCDDooECooooEooFFFoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>2\n"]}} {"board": "oooBooAAoBoooooBooCCCooooooooooooooo", "size": 6, "moves": 2, "solution": ["Bv2", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBooAAoBoooooBooCCCooooooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>4\n"]}} {"board": "oAAooBoCCCoBDooEoBDFFEGoooHHGooIIoGo", "size": 6, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAooBoCCCoBDooEoBDFFEGoooHHGooIIoGo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "ooooooooooBoCoooBoCooDBoCAADoooooDoo", "size": 6, "moves": 2, "solution": ["D^2", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooBoCoooBoCooDBoCAADoooooDoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,A>3\n"]}} {"board": "oooooooBoCCCoBoDDDoBoAAEFFFGGEoooooo", "size": 6, "moves": 2, "solution": ["Ev1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooBoCCCoBoDDDoBoAAEFFFGGEoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,A>1\n"]}} {"board": "ooooooBoooooBoooooBCooDooCAADooCooDo", "size": 6, "moves": 2, "solution": ["D^2", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooBoooooBoooooBCooDooCAADooCooDo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,A>2\n"]}} {"board": "ooooBoooooBoooCoBoAACoooooCoDDEEEooo", "size": 6, "moves": 2, "solution": ["C^2", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoooooBoooCoBoAACoooooCoDDEEEooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>4\n"]}} {"board": "ooAABoooooBoCCCooooooDooEEoDoooooDoo", "size": 6, "moves": 2, "solution": ["Bv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAABoooooBoCCCooooooDooEEoDoooooDoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "oooAABoooooBoooooBCoooooCooooooooooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooAABoooooBoooooBCoooooCooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>1\n"]}} {"board": "oBBBooooAACoooooCoooooCoDEooooDEoooo", "size": 6, "moves": 2, "solution": ["Cv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBooooAACoooooCoooooCoDEooooDEoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>2\n"]}} {"board": "oooBBBoooCCCoooooooooooooooDoooAADoo", "size": 6, "moves": 2, "solution": ["D^1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBoooCCCoooooooooooooooDoooAADoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>3\n"]}} {"board": "AAoBoooooBooCCooDDoEFooooEFGGGoEoooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoBoooooBooCCooDDoEFooooEFGGGoEoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "AABoooooBCCCooBooooDoooooDooooEEooFF", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AABoooooBCCCooBooooDoooooDooooEEooFF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "ooooooooAABoooCCBoDDooooooooooooEEoo", "size": 6, "moves": 2, "solution": ["Bv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooAABoooCCBoDDooooooooooooEEoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "oooBoooooBoooooBoooooooooAAooCDDoooC", "size": 6, "moves": 2, "solution": ["C^2", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoooooBoooooBoooooooooAAooCDDoooC\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>3\n"]}} {"board": "oooooooooBBBCooDooCooDoECAAooEoooooo", "size": 6, "moves": 2, "solution": ["E^1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBBBCooDooCooDoECAAooEoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,A>3\n"]}} {"board": "oooooooBoCCCoBooooooDoooAADoooooDooo", "size": 6, "moves": 2, "solution": ["D^2", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooBoCCCoBooooooDoooAADoooooDooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,A>4\n"]}} {"board": "ooAAoBoooooBoooooBoCoooooCoooooooooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAAoBoooooBoooooBoCoooooCoooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "oooooBooAAoBooCooBooCooooooooooooDDD", "size": 6, "moves": 2, "solution": ["Bv2", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBooAAoBooCooBooCooooooooooooDDD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>2\n"]}} {"board": "ooooooBoCoooBoCoooBoooooooooDoooAADo", "size": 6, "moves": 2, "solution": ["D^1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooBoCoooBoCoooBoooooooooDoooAADo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>2\n"]}} {"board": "oAAoBoooooBoooooooCCooooDDDEoooooEoo", "size": 6, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAoBoooooBoooooooCCooooDDDEoooooEoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "BCCCooBooDDDAAoooEoFFFGEHIIIGEHoooGo", "size": 6, "moves": 2, "solution": ["Ev1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BCCCooBooDDDAAoooEoFFFGEHIIIGEHoooGo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,A>4\n"]}} {"board": "oAABooCooBDoCooBDoCEooFFGEoHHHGIIIJJ", "size": 6, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAABooCooBDoCooBDoCEooFFGEoHHHGIIIJJ\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "ooBCooooBCDoooBCDoEoooDFEAAooFEooooF", "size": 6, "moves": 2, "solution": ["F^2", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBCooooBCDoooBCDoEoooDFEAAooFEooooF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^2,A>3\n"]}} {"board": "ooAABoooooBoCooooDCEEEoDoooooDooFFFo", "size": 6, "moves": 2, "solution": ["Bv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAABoooooBoCooooDCEEEoDoooooDooFFFo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "ooAAoBoooooBooCoooDoCoooDooEEFoooooF", "size": 6, "moves": 2, "solution": ["Bv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAAoBoooooBooCoooDoCoooDooEEFoooooF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "ooooooAAoooBoooooBoooooBoooooooCCooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooAAoooBoooooBoooooBoooooooCCooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "BCDDDoBCoEooBCoEoFoAAooFoGGHHIJJKKoI", "size": 6, "moves": 2, "solution": ["F^1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BCDDDoBCoEooBCoEoFoAAooFoGGHHIJJKKoI\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,A>3\n"]}} {"board": "ooooooooAAoBooCooBooCoDBooooDoooooDo", "size": 6, "moves": 2, "solution": ["Bv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooAAoBooCooBooCoDBooooDoooooDo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "oooooooooooooBBBoooAAooCDooooCDooooC", "size": 6, "moves": 2, "solution": ["C^3", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooooBBBoooAAooCDooooCDooooC\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^3,A>3\n"]}} {"board": "oAAoBoCCCoBooooooooDDoooooooooooEEoo", "size": 6, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAoBoCCCoBooooooooDDoooooooooooEEoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "oooooooooooooBBBooooooooooCDDDAACooo", "size": 6, "moves": 2, "solution": ["C^1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooooBBBooooooooooCDDDAACooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>4\n"]}} {"board": "ooooooBAAooCBDDooCBoooooEEEFFooooooo", "size": 6, "moves": 2, "solution": ["Cv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooBAAooCBDDooCBoooooEEEFFooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>3\n"]}} {"board": "oooBoooooBoooooBooooooCoDDDoCoAAooCo", "size": 6, "moves": 2, "solution": ["C^1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoooooBoooooBooooooCoDDDoCoAAooCo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>4\n"]}} {"board": "oooAABoCCooBoooooBDooEEoDFFGooDooGoo", "size": 6, "moves": 2, "solution": ["Bv1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooAABoCCooBoooooBDooEEoDFFGooDooGoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>1\n"]}} {"board": "ooBoooooBooCooBDoCoooDEoooooEoAAooEo", "size": 6, "moves": 2, "solution": ["E^1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoooooBooCooBDoCoooDEoooooEoAAooEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,A>4\n"]}} {"board": "ooBBBooooooCooAAoCDooooCDEooFooEooFo", "size": 6, "moves": 2, "solution": ["Cv2", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBooooooCooAAoCDooooCDEooFooEooFo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,A>2\n"]}} {"board": "oBAAoCoBDDECooFFECoGHIIooGHooooGHoJJ", "size": 6, "moves": 2, "solution": ["Cv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBAAoCoBDDECooFFECoGHIIooGHooooGHoJJ\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>2\n"]}} {"board": "oooooooooBooAAoBooooooooCCoooooDDooo", "size": 6, "moves": 2, "solution": ["B^1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBooAAoBooooooooCCoooooDDooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,A>4\n"]}} {"board": "oooBoooAABoooooBCDooooCDoooooooooooo", "size": 6, "moves": 2, "solution": ["Bv2", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoooAABoooooBCDooooCDoooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>3\n"]}} {"board": "ooBoooooBooCoooooCooooDCoAAoDoEEEoDo", "size": 6, "moves": 2, "solution": ["D^2", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoooooBooCoooooCooooDCoAAoDoEEEoDo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,A>3\n"]}} {"board": "oooBoooCoBoooCoBoooooooDoEEEoDoAAooD", "size": 6, "moves": 2, "solution": ["D^1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoooCoBoooCoBoooooooDoEEEoDoAAooD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>3\n"]}} {"board": "ooooooooBCCCAABoooooooDoooEoDFooEoDF", "size": 6, "moves": 2, "solution": ["B^1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooBCCCAABoooooooDoooEoDFooEoDF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,A>4\n"]}} {"board": "oooooBoooooBooAAoBooCoooooCooooooooo", "size": 6, "moves": 2, "solution": ["Bv3", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoooooBooAAoBooCoooooCooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv3,A>2\n"]}} {"board": "oooAABCoDDoBCoEoooFGEoooFGoHHHFGoooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooAABCoDDoBCoEoooFGEoooFGoHHHFGoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>1\n"]}} {"board": "ooooooBAAooCBDDooCBoEEFCooGGFoooooFo", "size": 6, "moves": 2, "solution": ["Cv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooBAAooCBDDooCBoEEFCooGGFoooooFo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>3\n"]}} {"board": "BoooooBooCCCBooooooDoooooDoooEoDAAoE", "size": 6, "moves": 2, "solution": ["E^1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoooooBooCCCBooooooDoooooDoooEoDAAoE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,A>2\n"]}} {"board": "BoooooBoooooBooooooooooCoAAooCoooooC", "size": 6, "moves": 2, "solution": ["C^2", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoooooBoooooBooooooooooCoAAooCoooooC\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>3\n"]}} {"board": "AAoBoooCCBDDoooBooEoFoGHEoFoGHEIIJJH", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoBoooCCBDDoooBooEoFoGHEoFoGHEIIJJH\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "ooAAoBCooooBCoDDEBCFGoEooFGHEooFGHII", "size": 6, "moves": 2, "solution": ["Bv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAAoBCooooBCoDDEBCFGoEooFGHEooFGHII\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "ooBBBoCDDDooCEooFoCEooFooEAAFooGGHHH", "size": 6, "moves": 2, "solution": ["F^1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBoCDDDooCEooFoCEooFooEAAFooGGHHH\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,A>2\n"]}} {"board": "oooooooAAoBoooooBoooooBoCDDoooCooooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooAAoBoooooBoooooBoCDDoooCooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "oooAABoCCooBoooDDooEEFFooooooooooGGG", "size": 6, "moves": 2, "solution": ["Bv1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooAABoCCooBoooDDooEEFFooooooooooGGG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>1\n"]}} {"board": "oooBoooAABoooooooooooooCoooooCoDDooC", "size": 6, "moves": 2, "solution": ["Bv2", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoooAABoooooooooooooCoooooCoDDooC\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>3\n"]}} {"board": "BBBoooooCCCooDoooEoDFAAEooFooEooFGGo", "size": 6, "moves": 2, "solution": ["E^2", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBoooooCCCooDoooEoDFAAEooFooEooFGGo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^2,A>1\n"]}} {"board": "oooooBoAAooBooooCBooooCoooooCooooooo", "size": 6, "moves": 2, "solution": ["Bv2", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoAAooBooooCBooooCoooooCooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>3\n"]}} {"board": "BBBooooCoAADECFFFDEGGHooEooHoooIIHJJ", "size": 6, "moves": 2, "solution": ["Dv1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBooooCoAADECFFFDEGGHooEooHoooIIHJJ\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,A>1\n"]}} {"board": "ooBCCCooBoooooooooooooDoooooDoooAADo", "size": 6, "moves": 2, "solution": ["D^1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBCCCooBoooooooooooooDoooooDoooAADo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>2\n"]}} {"board": "BoooooBCDDDoBCoooEoFFFoEoooAAEGGoooo", "size": 6, "moves": 2, "solution": ["E^1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoooooBCDDDoBCoooEoFFFoEoooAAEGGoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,A>1\n"]}} {"board": "oooooooooooBoooCoBoooCDooAAoDoooooEE", "size": 6, "moves": 2, "solution": ["D^1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooBoooCoBoooCDooAAoDoooooEE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>3\n"]}} {"board": "AAooBoooooBooCCCBoooooooooooDDoooooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAooBoooooBooCCCBoooooooooooDDoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oooooooBCoooDBCoooDBooooAAoooEoooooE", "size": 6, "moves": 2, "solution": ["E^2", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooBCoooDBCoooDBooooAAoooEoooooE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^2,A>4\n"]}} {"board": "ooooooAABoooooBoooooBooooooooooooCCo", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooAABoooooBoooooBooooooooooooCCo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "ooooooooooooooBBBoAAoooCoooooCoDDooo", "size": 6, "moves": 2, "solution": ["C^2", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooooooBBBoAAoooCoooooCoDDooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>4\n"]}} {"board": "oooooooooooBooAAoBCCCooBooooooDDDooo", "size": 6, "moves": 2, "solution": ["Bv2", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooBooAAoBCCCooBooooooDDDooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>2\n"]}} {"board": "BBBCCCDDDEEEoooooooFGAAHoFGoIHoFooIo", "size": 6, "moves": 2, "solution": ["Hv1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBCCCDDDEEEoooooooFGAAHoFGoIHoFooIo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nHv1,A>1\n"]}} {"board": "oooBoooooBoooooCooooDCooAADoooooDooo", "size": 6, "moves": 2, "solution": ["D^2", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoooooBoooooCooooDCooAADoooooDooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,A>4\n"]}} {"board": "oBoooooBoooooBoooooAAooCoooDoCoooDoC", "size": 6, "moves": 2, "solution": ["C^3", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoooooBoooooBoooooAAooCoooDoCoooDoC\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^3,A>3\n"]}} {"board": "oooooooAABoooooBCCooDoooooDoooooDoEE", "size": 6, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooAABoooooBCCooDoooooDoooooDoEE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "oooooooooBBBooCCCoDEoooFDEAAoFDEoooo", "size": 6, "moves": 2, "solution": ["F^1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBBBooCCCoDEoooFDEAAoFDEoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,A>2\n"]}} {"board": "oAAoBoooCCBooDoooEoDoFGEHHHFGEoooFGo", "size": 6, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAoBoooCCBooDoooEoDoFGEHHHFGEoooFGo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "oooBBBoooCooAAoCooooDoooooDoooooDoEE", "size": 6, "moves": 2, "solution": ["Cv2", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBoooCooAAoCooooDoooooDoooooDoEE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,A>4\n"]}} {"board": "ooooBoooAABooooooCoooooCDoooooDEEEoo", "size": 6, "moves": 2, "solution": ["Bv2", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoooAABooooooCoooooCDoooooDEEEoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>2\n"]}} {"board": "ooBBBoooooCooDDDCEFooooEFoAAoEFooGGG", "size": 6, "moves": 2, "solution": ["E^1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBoooooCooDDDCEFooooEFoAAoEFooGGG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,A>2\n"]}} {"board": "oooooooooBBBoooooooooooCoooooCoAAooC", "size": 6, "moves": 2, "solution": ["C^1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBBBoooooooooooCoooooCoAAooC\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>3\n"]}} {"board": "oooBBBooCoooooCoooAACooooooDDDooEEEo", "size": 6, "moves": 2, "solution": ["C^1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBooCoooooCoooAACooooooDDDooEEEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>4\n"]}} {"board": "ooooooooAABoooooBCoooooCDooEooDooEFF", "size": 6, "moves": 2, "solution": ["Bv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooAABoooooBCoooooCDooEooDooEFF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "oAABoooooBoooooBoooCCoDDEEFoooooFooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAABoooooBoooooBoooCCoDDEEFoooooFooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "ooAABoooCoBDooCoBDEoCooDEFFGHHoooGoo", "size": 6, "moves": 2, "solution": ["Bv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAABoooCoBDooCoBDEoCooDEFFGHHoooGoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "oBBBoooooooooooCoooooCDooAAoDooooooo", "size": 6, "moves": 2, "solution": ["D^1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBoooooooooooCoooooCDooAAoDooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>3\n"]}} {"board": "oBoooooBCCCDEooAADEFGHHooFGIIJoFGooJ", "size": 6, "moves": 2, "solution": ["D^1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoooooBCCCDEooAADEFGHHooFGIIJoFGooJ\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>1\n"]}} {"board": "oooAABCooooBCooooBooDoooEFDoooEFDooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooAABCooooBCooooBooDoooEFDoooEFDooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>1\n"]}} {"board": "oBBBoooooCCCoooDDDAAEoooooEFFFoooGGo", "size": 6, "moves": 2, "solution": ["E^2", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBoooooCCCoooDDDAAEoooooEFFFoooGGo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^2,A>4\n"]}} {"board": "oBBBooooooooCDooooCDAAEoCoooEoooFFoo", "size": 6, "moves": 2, "solution": ["E^2", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBooooooooCDooooCDAAEoCoooEoooFFoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^2,A>2\n"]}} {"board": "oBBBooAAoooCoooooCoDoooCoDooooEEoooo", "size": 6, "moves": 2, "solution": ["Cv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBooAAoooCoooooCoDoooCoDooooEEoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>4\n"]}} {"board": "oooAABoooooBoooCCBDDDEFooGoEFHoGoEFH", "size": 6, "moves": 2, "solution": ["Bv1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooAABoooooBoooCCBDDDEFooGoEFHoGoEFH\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>1\n"]}} {"board": "oooooooooooBoooooBooCAABooCDDDoooooo", "size": 6, "moves": 2, "solution": ["B^1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooBoooooBooCAABooCDDDoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,A>1\n"]}} {"board": "ooooooBooAACBooDDCoooooooEEEoooooFFo", "size": 6, "moves": 2, "solution": ["Cv1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooBooAACBooDDCoooooooEEEoooooFFo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>1\n"]}} {"board": "ooooooooooBCDooEBCDAAEooDooEFFGGHHoo", "size": 6, "moves": 2, "solution": ["E^2", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooBCDooEBCDAAEooDooEFFGGHHoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^2,A>3\n"]}} {"board": "ooAAoBoooooBoooooBoCoDoooCoDoooCoooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAAoBoooooBoooooBoCoDoooCoDoooCoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "ooooooooooooAABoooooBooooooooooooCCC", "size": 6, "moves": 2, "solution": ["B^2", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooooAABoooooBooooooooooooCCC\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^2,A>4\n"]}} {"board": "AAoooBoooCCBooooooDoEEEoDoooooDooooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoooBoooCCBooooooDoEEEoDoooooDooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "BoooooBoAAoCoDDoECFooGECFHHGooFooooo", "size": 6, "moves": 2, "solution": ["Cv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoooooBoAAoCoDDoECFooGECFHHGooFooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>2\n"]}} {"board": "oAABooCooBooCDDoooooEEoooFFGoHIIIGoH", "size": 6, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAABooCooBooCDDoooooEEoooFFGoHIIIGoH\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "oooooooooBBBAAooCooDDECoFFoECooooEoo", "size": 6, "moves": 2, "solution": ["Cv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBBBAAooCooDDECoFFoECooooEoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>4\n"]}} {"board": "oooBoooAABoooooBCoooooCooDDoCooooooo", "size": 6, "moves": 2, "solution": ["Bv2", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoooAABoooooBCoooooCooDDoCooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>3\n"]}} {"board": "oooooooooooooooBoooooBoCooAAoCooDDDo", "size": 6, "moves": 2, "solution": ["C^1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooooooBoooooBoCooAAoCooDDDo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>2\n"]}} {"board": "ooBAACDDBEECooBoooFoGoHIFJGKHIFJGKHI", "size": 6, "moves": 2, "solution": ["Cv1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBAACDDBEECooBoooFoGoHIFJGKHIFJGKHI\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>1\n"]}} {"board": "AAoooBoooooBooCooBooCDDoooCooooooEEo", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoooBoooooBooCooBooCDDoooCooooooEEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oooooooBoooCoBoAACoBoooCooooooDDoooo", "size": 6, "moves": 2, "solution": ["Cv2", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooBoooCoBoAACoBoooCooooooDDoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,A>1\n"]}} {"board": "ooooooAAoBooCooBooCooBooCooooooooooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooAAoBooCooBooCooBooCooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "BBBCCCAAoooDooEEEDooFFFDoooGGoooooHH", "size": 6, "moves": 2, "solution": ["Dv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBCCCAAoooDooEEEDooFFFDoooGGoooooHH\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,A>4\n"]}} {"board": "oooooBoooooBCCCDoooooDooEoAAFoEoGGFo", "size": 6, "moves": 2, "solution": ["F^2", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoooooBCCCDoooooDooEoAAFoEoGGFo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^2,A>2\n"]}} {"board": "oAAooBoCoooBDCoooBDCoEEooooooFoooooF", "size": 6, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAooBoCoooBDCoooBDCoEEooooooFoooooF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "ooooooooooBoooooBoAAooBoooooooCCCooo", "size": 6, "moves": 2, "solution": ["B^1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooBoooooBoAAooBoooooooCCCooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,A>4\n"]}} {"board": "oooooBooAAoBCCoDDBoEFoGooEFoGooEFoGo", "size": 6, "moves": 2, "solution": ["Bv2", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBooAAoBCCoDDBoEFoGooEFoGooEFoGo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>2\n"]}} {"board": "ooooooAAoBooooCBDEoFCoDEoFCGGGoFHHoo", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooAAoBooooCBDEoFCoDEoFCGGGoFHHoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "BoCoooBoCoooBoCoDoooAADoEoFFGGEooooo", "size": 6, "moves": 2, "solution": ["D^1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoCoooBoCoooBoCoDoooAADoEoFFGGEooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>2\n"]}} {"board": "ooBoooAABoooooooooooooooooooooCCDDoo", "size": 6, "moves": 2, "solution": ["Bv2", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoooAABoooooooooooooooooooooCCDDoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>4\n"]}} {"board": "ooooooooBoooooBoooAAoooCoooooCoooooC", "size": 6, "moves": 2, "solution": ["C^3", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooBoooooBoooAAoooCoooooCoooooC\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^3,A>4\n"]}} {"board": "ooooooooooooooAABoCoooBoCoooooCooooo", "size": 6, "moves": 2, "solution": ["B^2", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooooooAABoCoooBoCoooooCooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^2,A>2\n"]}} {"board": "oBoooooBCAADoBCooDEEoooooooFFoooGGoo", "size": 6, "moves": 2, "solution": ["Dv1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoooooBCAADoBCooDEEoooooooFFoooGGoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,A>1\n"]}} {"board": "ooAABoooooBoCoooooCoooooCooooooooooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAABoooooBoCoooooCoooooCooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "oooooooBoooooBooCoAAooCoooooCooooDDo", "size": 6, "moves": 2, "solution": ["C^2", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooBoooooBooCoAAooCoooooCooooDDo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>4\n"]}} {"board": "oooBBBooooooCCCoooDoooooDoooEoDAAoEo", "size": 6, "moves": 2, "solution": ["E^1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBooooooCCCoooDoooooDoooEoDAAoEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,A>3\n"]}} {"board": "oooooooooooBoAAooBoCoDDDoCEEoooCoFFF", "size": 6, "moves": 2, "solution": ["B^1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooBoAAooBoCoDDDoCEEoooCoFFF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,A>3\n"]}} {"board": "oooBoooooBoCoDEooCoDEAACoooFFFGGHHoo", "size": 6, "moves": 2, "solution": ["C^1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoooooBoCoDEooCoDEAACoooFFFGGHHoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>1\n"]}} {"board": "ooBCCCAABoooooooooDooEEoDoooooDooooo", "size": 6, "moves": 2, "solution": ["Bv2", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBCCCAABoooooooooDooEEoDoooooDooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>4\n"]}} {"board": "ooooooooooooBCDDDoBCEoooBoEooFooEAAF", "size": 6, "moves": 2, "solution": ["F^1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooooBCDDDoBCEoooBoEooFooEAAF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,A>1\n"]}} {"board": "oooAABooCCoBoooDDooooooooooooooooooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooAABooCCoBoooDDooooooooooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>1\n"]}} {"board": "ooAABoooooBoooooBoooCCoDoooooDoooooD", "size": 6, "moves": 2, "solution": ["Bv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAABoooooBoooooBoooCCoDoooooDoooooD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "oooAABoooooBoooooooooooooCCoooooooDD", "size": 6, "moves": 2, "solution": ["Bv1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooAABoooooBoooooooooooooCCoooooooDD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>1\n"]}} {"board": "oooAABoooooBoooooBoCCooooooooooDDooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooAABoooooBoooooBoCCooooooooooDDooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>1\n"]}} {"board": "oooooooAAooBooCDoBooCDoBoooDoooooEEo", "size": 6, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooAAooBooCDoBooCDoBoooDoooooEEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "BBBooCDooAACDoEEECDooFooGooFooGHHFoo", "size": 6, "moves": 2, "solution": ["Cv2", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBooCDooAACDoEEECDooFooGooFooGHHFoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,A>1\n"]}} {"board": "ooooooooooooAAoBoooooBCoDDDBCoEEooCo", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooooAAoBoooooBCoDDDBCoEEooCo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "ooooBooAAoBoooCCoooooooooooDDDoooooo", "size": 6, "moves": 2, "solution": ["Bv2", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBooAAoBoooCCoooooooooooDDDoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>3\n"]}} {"board": "oooooooooooBoooAABCooooBCoooooCooooo", "size": 6, "moves": 2, "solution": ["Bv2", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooBoooAABCooooBCoooooCooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>1\n"]}} {"board": "oooBoooooBCoooooCoooooCDoEEEoDAAoooD", "size": 6, "moves": 2, "solution": ["D^1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoooooBCoooooCoooooCDoEEEoDAAoooD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>4\n"]}} {"board": "ooBBBoooCoooooCooooooooooooAADooEEED", "size": 6, "moves": 2, "solution": ["D^2", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBoooCoooooCooooooooooooAADooEEED\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,A>1\n"]}} {"board": "AAoBoooooBCCooooooooDEEEooDoooFFDooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoBoooooBCCooooooooDEEEooDoooFFDooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oBoooooBoooooBAACoooDoCoooDooooooooo", "size": 6, "moves": 2, "solution": ["C^2", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoooooBoooooBAACoooDoCoooDooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>2\n"]}} {"board": "ooBBBoCCCDDDoAAoEooFGGEoHFIooJHFIKKJ", "size": 6, "moves": 2, "solution": ["Ev1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBoCCCDDDoAAoEooFGGEoHFIooJHFIKKJ\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,A>3\n"]}} {"board": "oooooooooooBAAoooBCCCDDDoooooooooooo", "size": 6, "moves": 2, "solution": ["B^1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooBAAoooBCCCDDDoooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,A>4\n"]}} {"board": "oAAooBoooooBoooooooCCCoooooooooooooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAooBoooooBoooooooCCCoooooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "ooooooAAoooBoooooBooooooCCoDoooooDoo", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooAAoooBoooooBooooooCCoDoooooDoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "BAAoCoBooDCoEooDCFEooGoFEHIGoooHIGJJ", "size": 6, "moves": 2, "solution": ["Cv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BAAoCoBooDCoEooDCFEooGoFEHIGoooHIGJJ\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>3\n"]}} {"board": "BooooCBooooCBooooCooooDoooooDooAAoDo", "size": 6, "moves": 2, "solution": ["D^1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BooooCBooooCBooooCooooDoooooDooAAoDo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>3\n"]}} {"board": "BCoAADBCEEoDoCooFDGGHoFoIoHJJJIoHKKK", "size": 6, "moves": 2, "solution": ["Dv1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BCoAADBCEEoDoCooFDGGHoFoIoHJJJIoHKKK\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,A>1\n"]}} {"board": "ooBCCCooBAADEEBFFDGoHHHDGIooooGIoJJJ", "size": 6, "moves": 2, "solution": ["Dv1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBCCCooBAADEEBFFDGoHHHDGIooooGIoJJJ\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,A>1\n"]}} {"board": "ooooBoooooBCooooBCoAAooCoDoooooDoooo", "size": 6, "moves": 2, "solution": ["C^1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoooooBCooooBCoAAooCoDoooooDoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>3\n"]}} {"board": "ooAAoBoooCoBoooCDoEEoCDoooFFDGoHHIIG", "size": 6, "moves": 2, "solution": ["Bv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAAoBoooCoBoooCDoEEoCDoooFFDGoHHIIG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "ooooooooooooAAoooBoooCCBoDDoooEEoooo", "size": 6, "moves": 2, "solution": ["B^2", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooooAAoooBoooCCBoDDoooEEoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^2,A>4\n"]}} {"board": "oooooooBooCooBooCDoBAAoDoEEEoDFFoGGG", "size": 6, "moves": 2, "solution": ["D^2", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooBooCooBooCDoBAAoDoEEEoDFFoGGG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,A>2\n"]}} {"board": "ooooooooAABoCCCoBooDDDooooooEoooooEo", "size": 6, "moves": 2, "solution": ["Bv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooAABoCCCoBooDDDooooooEoooooEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "BBBoooCoDDDoCooooEoooAAEoooooEoooooo", "size": 6, "moves": 2, "solution": ["E^2", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBoooCoDDDoCooooEoooAAEoooooEoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^2,A>1\n"]}} {"board": "oooooooooooooooooooooBCooooBCoAAooCo", "size": 6, "moves": 2, "solution": ["C^1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooooooooooooBCooooBCoAAooCo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>4\n"]}} {"board": "ooAAoBoCCCoBoooooBooooooooooooooDDoo", "size": 6, "moves": 2, "solution": ["Bv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAAoBoCCCoBoooooBooooooooooooooDDoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "ooAABoCCCoBooooooDEFFooDEGGooooooHHH", "size": 6, "moves": 2, "solution": ["Bv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAABoCCCoBooooooDEFFooDEGGooooooHHH\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "oooooBoooooBooCooBAACoooooCDDDooooEE", "size": 6, "moves": 2, "solution": ["C^2", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoooooBooCooBAACoooooCDDDooooEE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>4\n"]}} {"board": "oooooooooooooooBoooAABooCoooooCooDDD", "size": 6, "moves": 2, "solution": ["B^1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooooooBoooAABooCoooooCooDDD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,A>3\n"]}} {"board": "oBBBooooooooooooooooAACoooDDCEFFFooE", "size": 6, "moves": 2, "solution": ["C^2", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBooooooooooooooooAACoooDDCEFFFooE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>2\n"]}} {"board": "ooooooooBoooooBoooAAoooCoooooCooDDoC", "size": 6, "moves": 2, "solution": ["C^3", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooBoooooBoooAAoooCoooooCooDDoC\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^3,A>4\n"]}} {"board": "AAooBoooooBoCoooBoCoooooCDDDooEEEooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAooBoooooBoCoooBoCoooooCDDDooEEEooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oooooooBoCCCoBDoooooDoooAAoooEoooooE", "size": 6, "moves": 2, "solution": ["E^2", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooBoCCCoBDoooooDoooAAoooEoooooE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^2,A>4\n"]}} {"board": "oooBBBoooCoooAACooDEoCooDEooFFDEoooo", "size": 6, "moves": 2, "solution": ["Cv2", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBoooCoooAACooDEoCooDEooFFDEoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,A>3\n"]}} {"board": "ooAABoCoooBoCoooooCooooooDDooooooEEE", "size": 6, "moves": 2, "solution": ["Bv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAABoCoooBoCoooooCooooooDDooooooEEE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "BoooooBAACooBDoCoooDooEEoDoFFFGGoooo", "size": 6, "moves": 2, "solution": ["Cv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoooooBAACooBDoCoooDooEEoDoFFFGGoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>3\n"]}} {"board": "BBBCCCoooooooAADooEEEDFGooooFGHHHoFG", "size": 6, "moves": 2, "solution": ["Dv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBCCCoooooooAADooEEEDFGooooFGHHHoFG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,A>3\n"]}} {"board": "AAooBoCDDoBoCoooBooooooooooooooooEEE", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAooBoCDDoBoCoooBooooooooooooooooEEE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oooooBoooAABooCCCoooDoooooDoEEooDooo", "size": 6, "moves": 2, "solution": ["Bv2", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoooAABooCCCoooDoooooDoEEooDooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>1\n"]}} {"board": "oooooBooAAoBCooDooCooDoooooEoooooEFF", "size": 6, "moves": 2, "solution": ["Bv2", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBooAAoBCooDooCooDoooooEoooooEFF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>2\n"]}} {"board": "oooAABoooooBoooooooooooooooCCooooooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooAABoooooBoooooooooooooooCCooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>1\n"]}} {"board": "oooooooooooBAAoooBooooCBooooCoooooCo", "size": 6, "moves": 2, "solution": ["Bv2", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooBAAoooBooooCBooooCoooooCo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>4\n"]}} {"board": "oooooooooooBAAoooBCooooBCooooooooooo", "size": 6, "moves": 2, "solution": ["Bv2", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooBAAoooBCooooBCooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>4\n"]}} {"board": "BBBoooooCoooooCooDAAoooDoooEoooooEoo", "size": 6, "moves": 2, "solution": ["D^1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBoooooCoooooCooDAAoooDoooEoooooEoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>4\n"]}} {"board": "BoAAoCBooooCooDDooooEFFFooEoGoooooGo", "size": 6, "moves": 2, "solution": ["Cv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoAAoCBooooCooDDooooEFFFooEoGoooooGo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>2\n"]}} {"board": "AABoooCoBoooCoBDDDCooEEooFGHHHoFGIII", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AABoooCoBoooCoBDDDCooEEooFGHHHoFGIII\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oooooooBBBooooooooCooooDCooooDCAAooD", "size": 6, "moves": 2, "solution": ["D^1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooBBBooooooooCooooDCooooDCAAooD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>3\n"]}} {"board": "ooooooBooooCBAAooCooDoooooDoooooDooo", "size": 6, "moves": 2, "solution": ["C^1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooBooooCBAAooCooDoooooDoooooDooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>3\n"]}} {"board": "oooBoooCoBoooCDBooAADoooEoDFooEGGFoo", "size": 6, "moves": 2, "solution": ["D^2", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoooCoBoooCDBooAADoooEoDFooEGGFoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,A>4\n"]}} {"board": "oooBooAAoBooCCDoooooDoooEEFoooooFGGo", "size": 6, "moves": 2, "solution": ["Bv2", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBooAAoBooCCDoooooDoooEEFoooooFGGo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>4\n"]}} {"board": "BCooooBCoDDDAAEoooooEoooooFFoooooGGo", "size": 6, "moves": 2, "solution": ["E^2", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BCooooBCoDDDAAEoooooEoooooFFoooooGGo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^2,A>4\n"]}} {"board": "ooooBooAAoBoCoooooCooooooDDooooooooo", "size": 6, "moves": 2, "solution": ["Bv2", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBooAAoBoCoooooCooooooDDooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>3\n"]}} {"board": "oAAoBoooooBooCCoBooDoEoooDoEoooDFFFo", "size": 6, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAoBoooooBooCCoBooDoEoooDoEoooDFFFo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "ooBoooAABoooCoBDDoCoooooEEooFoooGGFo", "size": 6, "moves": 2, "solution": ["Bv2", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoooAABoooCoBDDoCoooooEEooFoooGGFo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>4\n"]}} {"board": "oooooooooooooooAABCooooBCoooDBCEEoDo", "size": 6, "moves": 2, "solution": ["Bv1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooooooAABCooooBCoooDBCEEoDo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>1\n"]}} {"board": "oooooooooooooAAooBoooooBoCCooooooooo", "size": 6, "moves": 2, "solution": ["B^2", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooooAAooBoooooBoCCooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^2,A>3\n"]}} {"board": "ooooooooooooBAACooBDDCooBooCEoooooEo", "size": 6, "moves": 2, "solution": ["Cv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooooBAACooBDDCooBooCEoooooEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>3\n"]}} {"board": "BBBCDEFooCDEFoooDGFooAAGoooHHooIIJJo", "size": 6, "moves": 2, "solution": ["Gv2", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBCDEFooCDEFoooDGFooAAGoooHHooIIJJo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nGv2,A>1\n"]}} {"board": "ooooooooooBoooooBoCoooooCooAADCooooD", "size": 6, "moves": 2, "solution": ["D^2", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooBoooooBoCoooooCooAADCooooD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,A>1\n"]}} {"board": "ooooooAABoooooBoCCooooDEoFFFDEooooDE", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooAABoooooBoCCooooDEoFFFDEooooDE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "AAooBoooooBCDDDoBCoEEEoFoooooFGGGooF", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAooBoooooBCDDDoBCoEEEoFoooooFGGGooF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oooooooooooooBooooCBooooCDoAAECDoooE", "size": 6, "moves": 2, "solution": ["E^2", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooooBooooCBooooCDoAAECDoooE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^2,A>1\n"]}} {"board": "BBBooooCoooooCoooooooooooooooDoooAAD", "size": 6, "moves": 2, "solution": ["D^1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBooooCoooooCoooooooooooooooDoooAAD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>1\n"]}} {"board": "oooooBoooooBAAoooBoCCoDoooooDoooooDo", "size": 6, "moves": 2, "solution": ["Bv3", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoooooBAAoooBoCCoDoooooDoooooDo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv3,A>4\n"]}} {"board": "oBoooooBoooCoooAACoooDDCoooooooooooo", "size": 6, "moves": 2, "solution": ["Cv2", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoooooBoooCoooAACoooDDCoooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,A>1\n"]}} {"board": "oAAoBoooooBoCoDEooCoDEFFGGDEHHooIIoo", "size": 6, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAoBoooooBoCoDEooCoDEFFGGDEHHooIIoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "oooBoooooBooAACoooDoCoooDooEEEDooooo", "size": 6, "moves": 2, "solution": ["C^2", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoooooBooAACoooDoCoooDooEEEDooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>4\n"]}} {"board": "ooAAoBCDDDoBCoooooCEEEoooFFFGGHHoooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAAoBCDDDoBCoooooCEEEoooFFFGGHHoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "ooooooooooBoooooBoAAooBooCoDDooCoooo", "size": 6, "moves": 2, "solution": ["B^1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooBoooooBoAAooBooCoDDooCoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,A>4\n"]}} {"board": "oooooooooBooAAoBooooooCCDDoEEEoooooo", "size": 6, "moves": 2, "solution": ["B^1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBooAAoBooooooCCDDoEEEoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,A>4\n"]}} {"board": "AAoBoooooBCCoDDBEEoFGooooFGooooFooHH", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoBoooooBCCoDDBEEoFGooooFGooooFooHH\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oooBBBooAACoooooCooooDooooEDooooEDoo", "size": 6, "moves": 2, "solution": ["Cv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBooAACoooooCooooDooooEDooooEDoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>2\n"]}} {"board": "BoooooBooooCoooooCoDooECoDooEoAAooEo", "size": 6, "moves": 2, "solution": ["E^1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoooooBooooCoooooCoDooECoDooEoAAooEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,A>4\n"]}} {"board": "ooooooooBBBCDoAAoCDEFGooDEFGHooEFGHo", "size": 6, "moves": 2, "solution": ["C^1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooBBBCDoAAoCDEFGooDEFGHooEFGHo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>2\n"]}} {"board": "oooooooooooooAAooBoCoooBoCDDoBoCoooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooooAAooBoCoooBoCDDoBoCoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "ooBCCCooBooooDEooFGDEooFGoEAAFoHHoII", "size": 6, "moves": 2, "solution": ["F^1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBCCCooBooooDEooFGDEooFGoEAAFoHHoII\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,A>1\n"]}} {"board": "oooooooooooooooBBBCoooDoCooEDoCAAEoo", "size": 6, "moves": 2, "solution": ["E^1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooooooBBBCoooDoCooEDoCAAEoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,A>3\n"]}} {"board": "BAAoCoBDooCEoDooCEFFFGooHooGIJHKKGIJ", "size": 6, "moves": 2, "solution": ["Cv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BAAoCoBDooCEoDooCEFFFGooHooGIJHKKGIJ\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>3\n"]}} {"board": "oooooooooBBBAAoCoooooCDEFoGoDEFoGooE", "size": 6, "moves": 2, "solution": ["Cv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBBBAAoCoooooCDEFoGoDEFoGooE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>4\n"]}} {"board": "BBBoCoooooCoAAooCoDDoEoooooEoooFFEoo", "size": 6, "moves": 2, "solution": ["Cv3", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBoCoooooCoAAooCoDDoEoooooEoooFFEoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv3,A>4\n"]}} {"board": "oBBBoooooooooooooooAAoCoooDoCoooDEEE", "size": 6, "moves": 2, "solution": ["C^2", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBoooooooooooooooAAoCoooDoCoooDEEE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>3\n"]}} {"board": "oooooooooBBBoCDooooCDooooCDoEooAAoEo", "size": 6, "moves": 2, "solution": ["E^1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBBBoCDooooCDooooCDoEooAAoEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,A>3\n"]}} {"board": "ooAAoBoooooBCoooooCoDDEFooooEFooooEF", "size": 6, "moves": 2, "solution": ["Bv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAAoBoooooBCoooooCoDDEFooooEFooooEF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "BCDEooBCDEoooAAoFoooooFooGGGHoooooHo", "size": 6, "moves": 2, "solution": ["F^2", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BCDEooBCDEoooAAoFoooooFooGGGHoooooHo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^2,A>3\n"]}} {"board": "oooBoooAABoooooBCCoooooooooooooooooo", "size": 6, "moves": 2, "solution": ["Bv2", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoooAABoooooBCCoooooooooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>3\n"]}} {"board": "BoooooBooCoooooCooooooooDooooEDooAAE", "size": 6, "moves": 2, "solution": ["E^1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoooooBooCoooooCooooooooDooooEDooAAE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,A>1\n"]}} {"board": "BooCCCBoooooAAooDoooEFDoooEFDoooEFoo", "size": 6, "moves": 2, "solution": ["Dv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BooCCCBoooooAAooDoooEFDoooEFDoooEFoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,A>4\n"]}} {"board": "ooooooooooBoAAooBoooCoooooCDDoooCooo", "size": 6, "moves": 2, "solution": ["B^1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooBoAAooBoooCoooooCDDoooCooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,A>4\n"]}} {"board": "BoooooBooooooooooooCoAADoCoooDoEEooo", "size": 6, "moves": 2, "solution": ["D^2", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoooooBooooooooooooCoAADoCoooDoEEooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,A>1\n"]}} {"board": "BoCoooBoCoooBooooooooooDoooAADooooEE", "size": 6, "moves": 2, "solution": ["D^1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoCoooBoCoooBooooooooooDoooAADooooEE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>1\n"]}} {"board": "BooAACBoDDDCooEoFCGoEoFoGHooFoGHoIII", "size": 6, "moves": 2, "solution": ["Cv1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BooAACBoDDDCooEoFCGoEoFoGHooFoGHoIII\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>1\n"]}} {"board": "oooooooooooBoooAABCoDDooCoooooCoooEE", "size": 6, "moves": 2, "solution": ["B^1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooBoooAABCoDDooCoooooCoooEE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,A>1\n"]}} {"board": "oooooooooooBoooAABooCoooDDCEEEooCFFF", "size": 6, "moves": 2, "solution": ["B^1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooBoooAABooCoooDDCEEEooCFFF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,A>1\n"]}} {"board": "oAAooBoooCoBDDDCooooEEFoGGoHFIoJJHFI", "size": 6, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAooBoooCoBDDDCooooEEFoGGoHFIoJJHFI\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "oAAooBoooCCBooDDDBoEEEoooFFGGooHHHoo", "size": 6, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAooBoooCCBooDDDBoEEEoooFFGGooHHHoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "ooooooooAABooooCBoDooCBoDEECooDoFFFo", "size": 6, "moves": 2, "solution": ["Bv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooAABooooCBoDooCBoDEECooDoFFFo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "AABoooCoBDooCooDEECoFDooGGFHHHooFooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AABoooCoBDooCooDEECoFDooGGFHHHooFooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "ooBBBooooooCoooooCoDoooooDAAEooDooEo", "size": 6, "moves": 2, "solution": ["E^2", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBooooooCoooooCoDoooooDAAEooDooEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^2,A>2\n"]}} {"board": "oooBBBoAAooCoDDDoCoooooCoooEEooooFFF", "size": 6, "moves": 2, "solution": ["Cv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBoAAooCoDDDoCoooooCoooEEooooFFF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>3\n"]}} {"board": "oBoooooBoooooooooooAAooCoooooCooDDoo", "size": 6, "moves": 2, "solution": ["C^2", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoooooBoooooooooooAAooCoooooCooDDoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>3\n"]}} {"board": "BoAACoBoooCDBoEooDFoEoGDFoEoGHFIIoGH", "size": 6, "moves": 2, "solution": ["Cv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoAACoBoooCDBoEooDFoEoGDFoEoGHFIIoGH\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>2\n"]}} {"board": "BooCooBAACooBDDCooooooEooFooEGoFooEG", "size": 6, "moves": 2, "solution": ["Cv2", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BooCooBAACooBDDCooooooEooFooEGoFooEG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,A>3\n"]}} {"board": "ooAABoCCooBoDoooooDooEooDooEoooooooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAABoCCooBoDoooooDooEooDooEoooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "oBoooooBooooAACooooDCEEEoDCoFoooooFo", "size": 6, "moves": 2, "solution": ["Cv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoooooBooooAACooooDCEEEoDCoFoooooFo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>4\n"]}} {"board": "oooooBooAAoBoCCooooooooooDoooooDoooo", "size": 6, "moves": 2, "solution": ["Bv2", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBooAAoBoCCooooooooooDoooooDoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>2\n"]}} {"board": "BBBCCCoDDDoooooAAEoFFoGEoHHHGEooooGo", "size": 6, "moves": 2, "solution": ["Ev1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBCCCoDDDoooooAAEoFFoGEoHHHGEooooGo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,A>1\n"]}} {"board": "ooooooooooooBoCoooBoCDooBooDoooAADoo", "size": 6, "moves": 2, "solution": ["D^1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooooBoCoooBoCDooBooDoooAADoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>3\n"]}} {"board": "oBBBCoooooCoDoooEFDooGEFoAAGoooooGoo", "size": 6, "moves": 2, "solution": ["G^2", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBCoooooCoDoooEFDooGEFoAAGoooooGoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nG^2,A>3\n"]}} {"board": "AABoooooBCCCooBoooDoooooDEooFGDEHHFG", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AABoooooBCCCooBoooDoooooDEooFGDEHHFG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oBBBoooooooooAAooCoooDoCEFoDooEFGGHH", "size": 6, "moves": 2, "solution": ["C^2", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBoooooooooAAooCoooDoCEFoDooEFGGHH\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>3\n"]}} {"board": "BoAAoCBooDDCBEoFFCGEooooGEHoooGoHIIo", "size": 6, "moves": 2, "solution": ["Cv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoAAoCBooDDCBEoFFCGEooooGEHoooGoHIIo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>2\n"]}} {"board": "BBBCCCoAADoooEEDoFoGGoHFooIIHooJJoHo", "size": 6, "moves": 2, "solution": ["Dv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBCCCoAADoooEEDoFoGGoHFooIIHooJJoHo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,A>3\n"]}} {"board": "ooBoCoooBDCoooBDCoAAoDoooooEEEoooooo", "size": 6, "moves": 2, "solution": ["D^1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoCoooBDCoooBDCoAAoDoooooEEEoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>4\n"]}} {"board": "oooooooooBoCDDDBoCEoAAFoEoGGFoEooHHH", "size": 6, "moves": 2, "solution": ["F^2", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBoCDDDBoCEoAAFoEoGGFoEooHHH\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^2,A>2\n"]}} {"board": "oooooooBBBoCoooooCoooAACoooooooooooo", "size": 6, "moves": 2, "solution": ["C^1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooBBBoCoooooCoooAACoooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>1\n"]}} {"board": "BCooooBCooooooooDoEFFFDoEAAoDoEoooGG", "size": 6, "moves": 2, "solution": ["D^1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BCooooBCooooooooDoEFFFDoEAAoDoEoooGG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>3\n"]}} {"board": "ooooooAAoBooCooBooCoooooCDoEFFoDoEoo", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooAAoBooCooBooCoooooCDoEFFoDoEoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "ooBoooooBooooCBooooCoooDoCoooDoooAAD", "size": 6, "moves": 2, "solution": ["D^1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoooooBooooCBooooCoooDoCoooDoooAAD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>1\n"]}} {"board": "oAAooBoCoooBoCooDBooooDooooooooooooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAooBoCoooBoCooDBooooDooooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "oooBooCAABooCoDBooCEDooFoEGooFoEGooF", "size": 6, "moves": 2, "solution": ["Bv2", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBooCAABooCoDBooCEDooFoEGooFoEGooF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>3\n"]}} {"board": "oooBooAAoBooCCoBoooooooooooooooooooo", "size": 6, "moves": 2, "solution": ["Bv2", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBooAAoBooCCoBoooooooooooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>4\n"]}} {"board": "ooooooBoCoooBDCoooBDoEoooAAEoooooEoo", "size": 6, "moves": 2, "solution": ["E^2", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooBoCoooBDCoooBDoEoooAAEoooooEoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^2,A>3\n"]}} {"board": "oooBoooooBCooAAoCooooDCoEEEDooFFFDoo", "size": 6, "moves": 2, "solution": ["Cv2", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoooooBCooAAoCooooDCoEEEDooFFFDoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,A>3\n"]}} {"board": "oooBooCCCBooDooBooDoEFFFooEoooAAEooo", "size": 6, "moves": 2, "solution": ["E^1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBooCCCBooDooBooDoEFFFooEoooAAEooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,A>4\n"]}} {"board": "oooooooooooooBoooooBooooooCoooAACooo", "size": 6, "moves": 2, "solution": ["C^1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooooBoooooBooooooCoooAACooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>4\n"]}} {"board": "oooooooAAoBooCCoBoDoooooDoEEoooooooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooAAoBooCCoBoDoooooDoEEoooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "BooCCCBooooooAAoDoEoooDFEoooDFEoGGoF", "size": 6, "moves": 2, "solution": ["Dv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BooCCCBooooooAAoDoEoooDFEoooDFEoGGoF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,A>3\n"]}} {"board": "BBBCCCoDoEEEoDFGGGHDFIooHoFIoJoAAooJ", "size": 6, "moves": 2, "solution": ["J^1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBCCCoDoEEEoDFGGGHDFIooHoFIoJoAAooJ\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nJ^1,A>3\n"]}} {"board": "oBCooooBCoDoEBooDoEFFFDoGooAAHGooooH", "size": 6, "moves": 2, "solution": ["H^2", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBCooooBCoDoEBooDoEFFFDoGooAAHGooooH\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nH^2,A>1\n"]}} {"board": "ooooBoooAABoooooBCooDDoCoooooEoFFooE", "size": 6, "moves": 2, "solution": ["Bv2", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoooAABoooooBCooDDoCoooooEoFFooE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>2\n"]}} {"board": "ooooooooooBooAAoBoCooDooCooDooCooDoo", "size": 6, "moves": 2, "solution": ["B^1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooBooAAoBoCooDooCooDooCooDoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,A>3\n"]}} {"board": "ooooBoooooBooAAoBooCDooooCDoooooDooo", "size": 6, "moves": 2, "solution": ["Bv3", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoooooBooAAoBooCDooooCDoooooDooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv3,A>3\n"]}} {"board": "oooooooooooooAABoooooBoooooooCoooDDC", "size": 6, "moves": 2, "solution": ["B^2", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooooAABoooooBoooooooCoooDDC\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^2,A>3\n"]}} {"board": "oAAooBooCCCBoDDDEoFGGGEHFIIIEHFooJJo", "size": 6, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAooBooCCCBoDDDEoFGGGEHFIIIEHFooJJo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "ooooooAAooBoooooBoooCoooooCooooooDDD", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooAAooBoooooBoooCoooooCooooooDDD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "BBBooooooooooooooooAACoooooCoooooCDD", "size": 6, "moves": 2, "solution": ["C^3", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBooooooooooooooooAACoooooCoooooCDD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^3,A>3\n"]}} {"board": "BCDEEEBCDFFFGCAAHoGooIHoGooIHooJJIoo", "size": 6, "moves": 2, "solution": ["Hv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BCDEEEBCDFFFGCAAHoGooIHoGooIHooJJIoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nHv1,A>2\n"]}} {"board": "oooBooCCCBDooAAoDoooooooooEEooFFFooo", "size": 6, "moves": 2, "solution": ["D^1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBooCCCBDooAAoDoooooooooEEooFFFooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>3\n"]}} {"board": "oAABoooooBoooooooooCCDDDoEEooooooFFF", "size": 6, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAABoooooBoooooooooCCDDDoEEooooooFFF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "ooooooooAABoCoDoBoCoDEBFoooEoFoooEoo", "size": 6, "moves": 2, "solution": ["Bv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooAABoCoDoBoCoDEBFoooEoFoooEoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "oooooooAAoBoooooBCoooooCoooooooooDDD", "size": 6, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooAAoBoooooBCoooooCoooooooooDDD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "ooBoooAABoooooBoooCCoDoooooDoooooooo", "size": 6, "moves": 2, "solution": ["Bv2", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoooAABoooooBoooCCoDoooooDoooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>4\n"]}} {"board": "AAooBoooooBooCCoBoooooooDEEEooDooFFF", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAooBoooooBooCCoBoooooooDEEEooDooFFF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "BBBoooooooooooooCoAAooCoooooCoDDDooo", "size": 6, "moves": 2, "solution": ["C^2", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBoooooooooooooCoAAooCoooooCoDDDooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>4\n"]}} {"board": "oooAABoooooBoooCooooDCooooDCooooDooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooAABoooooBoooCooooDCooooDCooooDooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>1\n"]}} {"board": "oBCooDoBCEoDooCEFoAAooFooooGHHoooGoo", "size": 6, "moves": 2, "solution": ["F^1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBCooDoBCEoDooCEFoAAooFooooGHHoooGoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,A>4\n"]}} {"board": "ooBBBooooCooAAoCoooooooooDDooEoooooE", "size": 6, "moves": 2, "solution": ["Cv2", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBooooCooAAoCoooooooooDDooEoooooE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,A>4\n"]}} {"board": "oooooooooooooAAoBooCooBooCoooooCDDoo", "size": 6, "moves": 2, "solution": ["B^2", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooooAAoBooCooBooCoooooCDDoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^2,A>3\n"]}} {"board": "ooooooooooBooooCBooAACoooooDDDoooooo", "size": 6, "moves": 2, "solution": ["C^1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooBooooCBooAACoooooDDDoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>3\n"]}} {"board": "AAoBoooooBoooCDBEEoCDoooooDFFFoooGGG", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoBoooooBoooCDBEEoCDoooooDFFFoooGGG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "ooBBBoooooooAAoCoooDDCooooooooooEEEo", "size": 6, "moves": 2, "solution": ["Cv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBoooooooAAoCoooDDCooooooooooEEEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>4\n"]}} {"board": "ooooooBBBoooooooooAAooCoooDDCoooooCo", "size": 6, "moves": 2, "solution": ["C^3", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooBBBoooooooooAAooCoooDDCoooooCo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^3,A>4\n"]}} {"board": "oooooBoooCoBoooCoooooCoDoooooDAAoooD", "size": 6, "moves": 2, "solution": ["D^1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoooCoBoooCoooooCoDoooooDAAoooD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>4\n"]}} {"board": "ooooooAAoooBoCCooBoooooBoooooooooooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooAAoooBoCCooBoooooBoooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oooBBBCCCoooooDEEEooDooooooooFoooAAF", "size": 6, "moves": 2, "solution": ["F^1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBCCCoooooDEEEooDooooooooFoooAAF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,A>1\n"]}} {"board": "ooooooooooooBBBooooCCCooDAAooEDooooE", "size": 6, "moves": 2, "solution": ["E^2", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooooBBBooooCCCooDAAooEDooooE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^2,A>3\n"]}} {"board": "oooBBBoooooooooCDooooCDooAACoooooooo", "size": 6, "moves": 2, "solution": ["C^1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBoooooooooCDooooCDooAACoooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>3\n"]}} {"board": "oooBBBooooooCCCooooAAooDoooEoDoooEoo", "size": 6, "moves": 2, "solution": ["D^2", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBooooooCCCooooAAooDoooEoDoooEoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,A>3\n"]}} {"board": "oooooooAABooooCBooooCBooooDooEooDooE", "size": 6, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooAABooooCBooooCBooooDooEooDooE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "ooooooooBBBoooooooooAACooDDDCooooooo", "size": 6, "moves": 2, "solution": ["Cv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooBBBoooooooooAACooDDDCooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>2\n"]}} {"board": "BoAAoCBooDoCoooDoCEEoDoooooooFoGGGoF", "size": 6, "moves": 2, "solution": ["Cv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoAAoCBooDoCoooDoCEEoDoooooooFoGGGoF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>2\n"]}} {"board": "oooBBBooooooAAoooCooDooCooDoooooDooo", "size": 6, "moves": 2, "solution": ["Cv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBooooooAAoooCooDooCooDoooooDooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>4\n"]}} {"board": "oBoAACoBDDDCoBoooooEFGGGHEFoIIHoJJoo", "size": 6, "moves": 2, "solution": ["Cv1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoAACoBDDDCoBoooooEFGGGHEFoIIHoJJoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>1\n"]}} {"board": "AAoBoooooBCCooDBEooFDoEooFDoGGHHoIII", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoBoooooBCCooDBEooFDoEooFDoGGHHoIII\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "BBBCCCoooAADEEFFoDGHIJKDGHIJKoGHIJKo", "size": 6, "moves": 2, "solution": ["Dv1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBCCCoooAADEEFFoDGHIJKDGHIJKoGHIJKo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,A>1\n"]}} {"board": "ooBBBoooooooooCAADooCooDoEEooooooooo", "size": 6, "moves": 2, "solution": ["D^2", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBoooooooooCAADooCooDoEEooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,A>1\n"]}} {"board": "oooooooooBooAAoBoooCoBoooCoooooCoooo", "size": 6, "moves": 2, "solution": ["Bv2", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBooAAoBoooCoBoooCoooooCoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>4\n"]}} {"board": "oooBBBooooooooAAoCoooDECoooDECooooEo", "size": 6, "moves": 2, "solution": ["Cv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBooooooooAAoCoooDECoooDECooooEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>2\n"]}} {"board": "oAAooBoooCoBoooCoBDEEFFoDoooGoDoooGo", "size": 6, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAooBoooCoBoooCoBDEEFFoDoooGoDoooGo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "oBoCCCoBoAADoBEEoDoooFGDoooFGoHHHFGo", "size": 6, "moves": 2, "solution": ["Dv1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoCCCoBoAADoBEEoDoooFGDoooFGoHHHFGo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,A>1\n"]}} {"board": "oAAoBoooooBooooCoooooCDooEoCDooEoooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAoBoooooBooooCoooooCDooEoCDooEoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "ooooooBBBCoooooCooAAoCoooDDEoooooEoo", "size": 6, "moves": 2, "solution": ["C^1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooBBBCoooooCooAAoCoooDDEoooooEoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>4\n"]}} {"board": "oooBBBoooCoooooCDoooAADoooooooEEEooo", "size": 6, "moves": 2, "solution": ["D^1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBoooCoooooCDoooAADoooooooEEEooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>2\n"]}} {"board": "oooAABooCCoBoooooBoDoEoooDoEoooDoEoo", "size": 6, "moves": 2, "solution": ["Bv1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooAABooCCoBoooooBoDoEoooDoEoooDoEoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>1\n"]}} {"board": "ooooBoCCCoBoDAAoBoDEEFooGHHFooGooFoo", "size": 6, "moves": 2, "solution": ["Bv3", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoCCCoBoDAAoBoDEEFooGHHFooGooFoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv3,A>3\n"]}} {"board": "oAAoBooCooBooCoDBoEooDoFEGGGoFHHoooF", "size": 6, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAoBooCooBooCoDBoEooDoFEGGGoFHHoooF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "AAoBoooooBooooooCCoooooooDDooooooooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoBoooooBooooooCCoooooooDDooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "BoooCoBoooCDBooooDooAAoDEEEooooooooo", "size": 6, "moves": 2, "solution": ["D^1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoooCoBoooCDBooooDooAAoDEEEooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>2\n"]}} {"board": "oooooooAAooBooCooBoDCEoooDoEoooDoooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooAAooBooCooBoDCEoooDoEoooDoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "oooBoCoooBoCoAADooEEoDFGoHooFGoHooFG", "size": 6, "moves": 2, "solution": ["Dv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoCoooBoCoAADooEEoDFGoHooFGoHooFG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,A>3\n"]}} {"board": "ooAABooCCDBooEoDBooEoooooFGGHHoFoooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAABooCCDBooEoDBooEoooooFGGHHoFoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "ooBoooooBoooooBooooooAACDDoooCoooooC", "size": 6, "moves": 2, "solution": ["C^3", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoooooBoooooBooooooAACDDoooCoooooC\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^3,A>1\n"]}} {"board": "oooooooooooooBoooooBCCCDoBAAoDEEEooD", "size": 6, "moves": 2, "solution": ["D^2", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooooBoooooBCCCDoBAAoDEEEooD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,A>2\n"]}} {"board": "BooooCBooAACoDDDooooEoooooEFFoooEooo", "size": 6, "moves": 2, "solution": ["Cv2", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BooooCBooAACoDDDooooEoooooEFFoooEooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,A>1\n"]}} {"board": "oooooooooBBBAAoCoooDoCoEFDGooEFDGooE", "size": 6, "moves": 2, "solution": ["Cv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBBBAAoCoooDoCoEFDGooEFDGooE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>4\n"]}} {"board": "oooooBoooAABoooooBoooooooCCooooDDooo", "size": 6, "moves": 2, "solution": ["Bv2", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoooAABoooooBoooooooCCooooDDooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>1\n"]}} {"board": "oooBooAAoBoooooBoooCoooooCoooooCDDDo", "size": 6, "moves": 2, "solution": ["Bv2", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBooAAoBoooooBoooCoooooCoooooCDDDo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>4\n"]}} {"board": "ooBoooooBoooooAACoooDDCoooooooEEoooo", "size": 6, "moves": 2, "solution": ["C^2", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoooooBoooooAACoooDDCoooooooEEoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>2\n"]}} {"board": "ooooBoAAooBooooCBoDDoCoooooCoooEEEoo", "size": 6, "moves": 2, "solution": ["Bv2", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoAAooBooooCBoDDoCoooooCoooEEEoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>4\n"]}} {"board": "oBBBCooDDDCooAAoCooooEooFFGEooooGEoo", "size": 6, "moves": 2, "solution": ["Cv3", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBCooDDDCooAAoCooooEooFFGEooooGEoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv3,A>3\n"]}} {"board": "ooAAoBoooooBooCoooooCoooooCDooEEoDoo", "size": 6, "moves": 2, "solution": ["Bv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAAoBoooooBooCoooooCoooooCDooEEoDoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "oAAoBoCCooBoooooBoDDoooooooooooooooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAoBoCCooBoooooBoDDoooooooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "oooAABoooooBooooCooDDoCoooooCooooEEo", "size": 6, "moves": 2, "solution": ["Bv1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooAABoooooBooooCooDDoCoooooCooooEEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>1\n"]}} {"board": "ooBoooCoBoooCDoooECDAAoEFFFooooooooo", "size": 6, "moves": 2, "solution": ["E^1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoooCoBoooCDoooECDAAoEFFFooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,A>2\n"]}} {"board": "ooooBoCDooBoCDoAAECDFGGEHHFoIEJJFoIo", "size": 6, "moves": 2, "solution": ["Ev1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoCDooBoCDoAAECDFGGEHHFoIEJJFoIo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,A>1\n"]}} {"board": "ooooooBoooCoBoooCoBooDCooAADoooooooo", "size": 6, "moves": 2, "solution": ["D^1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooBoooCoBoooCoBooDCooAADoooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>3\n"]}} {"board": "BBBoCoooooCoooooCooAAooDoooooDoooooD", "size": 6, "moves": 2, "solution": ["D^3", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBoCoooooCoooooCooAAooDoooooDoooooD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^3,A>3\n"]}} {"board": "oooooooBoooooBoooooBoAACoooooCoooooC", "size": 6, "moves": 2, "solution": ["C^3", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooBoooooBoooooBoAACoooooCoooooC\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^3,A>1\n"]}} {"board": "ooooBooCooBooCoooDoCAAoDoEEEFDoGGoFo", "size": 6, "moves": 2, "solution": ["D^2", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBooCooBooCoooDoCAAoDoEEEFDoGGoFo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,A>2\n"]}} {"board": "oBoooooBAACoooooCooooooDoooooDoooooD", "size": 6, "moves": 2, "solution": ["Cv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoooooBAACoooooCooooooDoooooDoooooD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>2\n"]}} {"board": "oooooooooBooCooBooCAABoooDEFFFoDEooo", "size": 6, "moves": 2, "solution": ["B^1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBooCooBooCAABoooDEFFFoDEooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,A>3\n"]}} {"board": "oooooooooooooooooooooAABoooooBoCCCDD", "size": 6, "moves": 2, "solution": ["B^2", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooooooooooooAABoooooBoCCCDD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^2,A>1\n"]}} {"board": "ooBBBCoooooCooAAoCDooEFoDooEFooooEFo", "size": 6, "moves": 2, "solution": ["Cv3", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBCoooooCooAAoCDooEFoDooEFooooEFo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv3,A>2\n"]}} {"board": "ooBBBoAACoooooCoooDEoFFFDEGHHHDEGIII", "size": 6, "moves": 2, "solution": ["Cv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBoAACoooooCoooDEoFFFDEGHHHDEGIII\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>4\n"]}} {"board": "ooooooAABoooooBCooooBCoooooCoooooooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooAABoooooBCooooBCoooooCoooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "AAoooBoooCCBooooooooDDooooEEFooGGoFo", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoooBoooCCBooooooooDDooooEEFooGGoFo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "ooBBBooooooooooooooooooooooAACooDDoC", "size": 6, "moves": 2, "solution": ["C^2", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBooooooooooooooooooooooAACooDDoC\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>1\n"]}} {"board": "ooooooAABoooooBCCooooooooooooooooDDD", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooAABoooooBCCooooooooooooooooDDD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oooooooooooBAAoooBooCoooooCooDooCooD", "size": 6, "moves": 2, "solution": ["B^1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooBAAoooBooCoooooCooDooCooD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,A>4\n"]}} {"board": "oooooooBBBooooooCoooooCooDDDCEoooAAE", "size": 6, "moves": 2, "solution": ["E^1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooBBBooooooCoooooCooDDDCEoooAAE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,A>1\n"]}} {"board": "oooBBBCCCoDoooooDoEFoooGEFoAAGEFHHHG", "size": 6, "moves": 2, "solution": ["G^2", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBCCCoDoooooDoEFoooGEFoAAGEFHHHG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nG^2,A>1\n"]}} {"board": "oooooBoooAABoooCooDDoCooEooCooEooooo", "size": 6, "moves": 2, "solution": ["Bv2", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoooAABoooCooDDoCooEooCooEooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>1\n"]}} {"board": "ooooooBoooooBooCooBAACoooooooooDDooo", "size": 6, "moves": 2, "solution": ["C^1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooBoooooBooCooBAACoooooooooDDooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>3\n"]}} {"board": "ooBBBooooooooooCooooDCooAADoooooDooo", "size": 6, "moves": 2, "solution": ["D^2", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBooooooooooCooooDCooAADoooooDooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,A>4\n"]}} {"board": "oooooooAAoBoooooBoCDooooCDoooooDEEEo", "size": 6, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooAAoBoooooBoCDooooCDoooooDEEEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "BoooooBooooCoDAAoCoDoooCoDoooooooooo", "size": 6, "moves": 2, "solution": ["Cv2", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoooooBooooCoDAAoCoDoooCoDoooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,A>2\n"]}} {"board": "ooooooBAAoCoBoooCoBooooooDoooooDoooo", "size": 6, "moves": 2, "solution": ["Cv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooBAAoCoBoooCoBooooooDoooooDoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>3\n"]}} {"board": "oBCooDoBCAADEBFGoDEoFGooEoFooooHHIII", "size": 6, "moves": 2, "solution": ["Dv2", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBCooDoBCAADEBFGoDEoFGooEoFooooHHIII\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv2,A>1\n"]}} {"board": "BoCoooBoCoooBoAADoEFoGDoEFoGDoEFHHoo", "size": 6, "moves": 2, "solution": ["Dv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoCoooBoCoooBoAADoEFoGDoEFoGDoEFHHoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,A>2\n"]}} {"board": "ooooBooCCCBoDEooooDEoAAFDoGGoFHHHooF", "size": 6, "moves": 2, "solution": ["F^3", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBooCCCBoDEooooDEoAAFDoGGoFHHHooF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^3,A>1\n"]}} {"board": "ooooBoooCDBoooCDBoAAoDooEEEFFFoGGHHH", "size": 6, "moves": 2, "solution": ["D^1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoooCDBoooCDBoAAoDooEEEFFFoGGHHH\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>4\n"]}} {"board": "ooooooAABoooooBoCCoDoEoooDoEoooDoEoo", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooAABoooooBoCCoDoEoooDoEoooDoEoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oAAoBoooooBoooooooooooooCoDoooCoDooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAoBoooooBoooooooooooooCoDoooCoDooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "ooAAoBoooooBooooooooooCCoooDoooooDoo", "size": 6, "moves": 2, "solution": ["Bv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAAoBoooooBooooooooooCCoooDoooooDoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "ooAABooCCCBooooDoooEoDoooEoFFooEoGGG", "size": 6, "moves": 2, "solution": ["Bv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAABooCCCBooooDoooEoDoooEoFFooEoGGG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "AAoooBoooooBooCoooooCoDDooCooooooooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoooBoooooBooCoooooCoDDooCooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oBoooooBooooooAACoDoooCoDoooCooooooo", "size": 6, "moves": 2, "solution": ["Cv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoooooBooooooAACoDoooCoDoooCooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>2\n"]}} {"board": "AABoooooBCoooDoCEooDoCEooDoFFFGGGHHH", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AABoooooBCoooDoCEooDoCEooDoFFFGGGHHH\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oooooooooAABooCCCBoDDEoooooEoooooFFF", "size": 6, "moves": 2, "solution": ["Bv1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooAABooCCCBoDDEoooooEoooooFFF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>1\n"]}} {"board": "ooooooooooooAAoooBooCCCBoooooBoooooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooooAAoooBooCCCBoooooBoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oAABooCCCBooooooooooDooooEDFFFoEDooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAABooCCCBooooooooooDooooEDFFFoEDooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "ooooooBBBoCoooooCoAAooCooooDoooooDoo", "size": 6, "moves": 2, "solution": ["C^1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooBBBoCoooooCoAAooCooooDoooooDoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>4\n"]}} {"board": "oooBoooooBoooAAoCoooooCoDoooooDEEooo", "size": 6, "moves": 2, "solution": ["C^2", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoooooBoooAAoCoooooCoDoooooDEEooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>3\n"]}} {"board": "oooooBooCooBooCoooooooooooooDoooAADo", "size": 6, "moves": 2, "solution": ["D^1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBooCooBooCoooooooooooooDoooAADo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>2\n"]}} {"board": "oBBBooooooooAAooCooooDCooooDoooooDEE", "size": 6, "moves": 2, "solution": ["C^2", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBooooooooAAooCooooDCooooDoooooDEE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>4\n"]}} {"board": "oBoooooBoooooBooooooAACoDDDoCooooooo", "size": 6, "moves": 2, "solution": ["C^2", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoooooBoooooBooooooAACoDDDoCooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>2\n"]}} {"board": "ooBBBCoooAACoDDooCEoooooEoooooEooooo", "size": 6, "moves": 2, "solution": ["Cv2", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBCoooAACoDDooCEoooooEoooooEooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,A>1\n"]}} {"board": "oooBBBoooAACoooooCoooooooooooooooooo", "size": 6, "moves": 2, "solution": ["Cv1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBoooAACoooooCoooooooooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>1\n"]}} {"board": "ooBoooAABoooooBCoooooCoooooCoooooooo", "size": 6, "moves": 2, "solution": ["Bv2", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoooAABoooooBCoooooCoooooCoooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>4\n"]}} {"board": "BBBoooooooooooooooooAACooooDCooooDCo", "size": 6, "moves": 2, "solution": ["C^3", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBoooooooooooooooooAACooooDCooooDCo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^3,A>2\n"]}} {"board": "ooooooooooooAAooBooooCBooooCoooooCoo", "size": 6, "moves": 2, "solution": ["B^2", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooooAAooBooooCBooooCoooooCoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^2,A>4\n"]}} {"board": "oooooooooooooooBBBAACoooDoCoooDoCooo", "size": 6, "moves": 2, "solution": ["C^3", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooooooBBBAACoooDoCoooDoCooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^3,A>4\n"]}} {"board": "ooAAoBoooooBooCCoBooooooDDDoooEEEooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAAoBoooooBooCCoBooooooDDDoooEEEooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "BoooCoBoAACoBoooCoooDoooooDoooooDooo", "size": 6, "moves": 2, "solution": ["Cv2", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoooCoBoAACoBoooCoooDoooooDoooooDooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,A>2\n"]}} {"board": "ooooooBooooCBoAAoCBooooCoDDooooooooo", "size": 6, "moves": 2, "solution": ["Cv2", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooBooooCBoAAoCBooooCoDDooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,A>2\n"]}} {"board": "BoooooBoooCoooooCooooDCoAAoDoooooDoo", "size": 6, "moves": 2, "solution": ["D^2", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoooooBoooCoooooCooooDCoAAoDoooooDoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,A>4\n"]}} {"board": "BBBoooooCCCoooooooooDooEooDooEAADooo", "size": 6, "moves": 2, "solution": ["D^1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBoooooCCCoooooooooDooEooDooEAADooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>4\n"]}} {"board": "BooCCCBoAADoBoooDoooooDooooooooooooo", "size": 6, "moves": 2, "solution": ["Dv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BooCCCBoAADoBoooDoooooDooooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,A>2\n"]}} {"board": "ooooooooooooooooooBBBoooooAACoooooCo", "size": 6, "moves": 2, "solution": ["C^2", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooooooooooBBBoooooAACoooooCo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>2\n"]}} {"board": "oooBBBAAoCoooooCoooDoCooEDoooFEDoooF", "size": 6, "moves": 2, "solution": ["Cv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBAAoCoooooCoooDoCooEDoooFEDoooF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>4\n"]}} {"board": "ooooBoooooBooAAoBooooooooCCCoooooooo", "size": 6, "moves": 2, "solution": ["Bv3", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoooooBooAAoBooooooooCCCoooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv3,A>3\n"]}} {"board": "AAoBooCooBDoCEooDoCEoFFFGGHHIIooJJoo", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoBooCooBDoCEooDoCEoFFFGGHHIIooJJoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "BBBoooAACoooooCDDDooCooooooooooooooo", "size": 6, "moves": 2, "solution": ["Cv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBoooAACoooooCDDDooCooooooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>4\n"]}} {"board": "ooooooooBBBooAAooCDooooCDEEEFGooooFG", "size": 6, "moves": 2, "solution": ["C^2", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooBBBooAAooCDooooCDEEEFGooooFG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>3\n"]}} {"board": "BCooooBCAADoooooDooooEooFFoEGGoooEHH", "size": 6, "moves": 2, "solution": ["Dv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BCooooBCAADoooooDooooEooFFoEGGoooEHH\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,A>2\n"]}} {"board": "AAoBoooooBooooCBooooCoDoooCoDooooooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoBoooooBooooCBooooCoDoooCoDooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oooooooooooBoooooBooCAABooCooDooCooD", "size": 6, "moves": 2, "solution": ["B^1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooBoooooBooCAABooCooDooCooD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,A>1\n"]}} {"board": "oooBooooCBooooCoooooCooooooooDoAAooD", "size": 6, "moves": 2, "solution": ["D^1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBooooCBooooCoooooCooooooooDoAAooD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>3\n"]}} {"board": "ooBBBoCooooDCooooDoAAooDEoooFFEooooo", "size": 6, "moves": 2, "solution": ["D^1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBoCooooDCooooDoAAooDEoooFFEooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>3\n"]}} {"board": "oooooBoooooBoAAooBooCDDoEFCGGoEFCooo", "size": 6, "moves": 2, "solution": ["Bv3", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoooooBoAAooBooCDDoEFCGGoEFCooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv3,A>3\n"]}} {"board": "ooooooBAAooCBooooCoooooCoooDDooooEEE", "size": 6, "moves": 2, "solution": ["Cv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooBAAooCBooooCoooooCoooDDooooEEE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>3\n"]}} {"board": "oooBoooooBoooooBooooAACoooooCoDDDoCo", "size": 6, "moves": 2, "solution": ["C^3", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoooooBoooooBooooAACoooooCoDDDoCo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^3,A>2\n"]}} {"board": "AAoBooooCBDEFoCoDEFooGDEHoIGJJHoIooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoBooooCBDEFoCoDEFooGDEHoIGJJHoIooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "ooBBBoCoooooCooooDEAAooDEoooFoEGGGFo", "size": 6, "moves": 2, "solution": ["D^1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBoCoooooCooooDEAAooDEoooFoEGGGFo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>3\n"]}} {"board": "ooooooooooooooooBoAAooBoooCCooDDoooo", "size": 6, "moves": 2, "solution": ["B^1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooooooooBoAAooBoooCCooDDoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,A>4\n"]}} {"board": "ooooBoooooBooAACoooooCDDoooCoEoooooE", "size": 6, "moves": 2, "solution": ["Cv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoooooBooAACoooooCDDoooCoEoooooE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>3\n"]}} {"board": "oBoooCoBDDDCoooAACooooEoooooEoooooEo", "size": 6, "moves": 2, "solution": ["Cv3", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoooCoBDDDCoooAACooooEoooooEoooooEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv3,A>1\n"]}} {"board": "oooooooooooBCCCooBDEoooBDEAAFoDEooFo", "size": 6, "moves": 2, "solution": ["F^2", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooBCCCooBDEoooBDEAAFoDEooFo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^2,A>2\n"]}} {"board": "oooAABoCoooBoCoooBDEFFooDEoGGGoooooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooAABoCoooBoCoooBDEFFooDEoGGGoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>1\n"]}} {"board": "BBBCCCAAoDoooooDoooooDEoFoooEoFoGGEo", "size": 6, "moves": 2, "solution": ["Dv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBCCCAAoDoooooDoooooDEoFoooEoFoGGEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,A>4\n"]}} {"board": "ooooooooooooooooooBBBooooooooCoAAooC", "size": 6, "moves": 2, "solution": ["C^1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooooooooooBBBooooooooCoAAooC\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>3\n"]}} {"board": "BoooooBoooooBoooCoooooCooDDDCEAAoooE", "size": 6, "moves": 2, "solution": ["E^1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoooooBoooooBoooCoooooCooDDDCEAAoooE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,A>4\n"]}} {"board": "BAACooBooCDoBEECDFGHHooFGooIJoGooIJo", "size": 6, "moves": 2, "solution": ["Cv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BAACooBooCDoBEECDFGHHooFGooIJoGooIJo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>3\n"]}} {"board": "BooCCCBoooooBoooooAADoooooDoEEooDFFF", "size": 6, "moves": 2, "solution": ["D^3", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BooCCCBoooooBoooooAADoooooDoEEooDFFF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^3,A>4\n"]}} {"board": "oBBBooCooAADCEooFDCEGGFooEHHFooIIJJJ", "size": 6, "moves": 2, "solution": ["Dv1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBooCooAADCEooFDCEGGFooEHHFooIIJJJ\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,A>1\n"]}} {"board": "oAAooBoooCoBoooCoBoooCoooooooooDDEEo", "size": 6, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAooBoooCoBoooCoBoooCoooooooooDDEEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "oBBBoooooooooooAACoooooCoooooooooooo", "size": 6, "moves": 2, "solution": ["C^2", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBoooooooooooAACoooooCoooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>1\n"]}} {"board": "ooBBBooooooooAAooCoooooCoooooooDDDoo", "size": 6, "moves": 2, "solution": ["C^2", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBooooooooAAooCoooooCoooooooDDDoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>3\n"]}} {"board": "ooBBBoooooooCAAoDoCoooDECoooDEoooooE", "size": 6, "moves": 2, "solution": ["Dv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBoooooooCAAoDoCoooDECoooDEoooooE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,A>3\n"]}} {"board": "oooooooBoooooBCooooBCoooooCoDooAAoDo", "size": 6, "moves": 2, "solution": ["D^1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooBoooooBCooooBCoooooCoDooAAoDo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>3\n"]}} {"board": "oBoooooBoooCoAAooCoooooCoooooooooooo", "size": 6, "moves": 2, "solution": ["Cv2", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoooooBoooCoAAooCoooooCoooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,A>3\n"]}} {"board": "ooooBooAAoBoooooooCCCDoooooDoooooDoo", "size": 6, "moves": 2, "solution": ["Bv2", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBooAAoBoooooooCCCDoooooDoooooDoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>3\n"]}} {"board": "oooooooAAoBoooCoBooDCoBooDCooooDoooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooAAoBoooCoBooDCoBooDCooooDoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "AAoooBCCoDDBEEEooBFFoGGoooHoIIooHJJJ", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoooBCCoDDBEEEooBFFoGGoooHoIIooHJJJ\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oooooBoCoooBoCoooBooooooDDDooEoooAAE", "size": 6, "moves": 2, "solution": ["E^1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoCoooBoCoooBooooooDDDooEoooAAE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,A>1\n"]}} {"board": "ooooooooooBooAAoBoooooooCCoDDDoooooo", "size": 6, "moves": 2, "solution": ["B^1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooBooAAoBoooooooCCoDDDoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,A>3\n"]}} {"board": "ooBoooooBoooooBooooooAACoooDDCoEEooC", "size": 6, "moves": 2, "solution": ["C^3", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoooooBoooooBooooooAACoooDDCoEEooC\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^3,A>1\n"]}} {"board": "oooAABoooooBoooooBooCCooooooDDoooEEE", "size": 6, "moves": 2, "solution": ["Bv1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooAABoooooBoooooBooCCooooooDDoooEEE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>1\n"]}} {"board": "oooooBoooooBoooooBoCooDooCAADooCooDo", "size": 6, "moves": 2, "solution": ["D^2", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoooooBoooooBoCooDooCAADooCooDo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,A>2\n"]}} {"board": "ooooooooBoooooBoooAACoooooCooooooDDo", "size": 6, "moves": 2, "solution": ["Cv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooBoooooBoooAACoooooCooooooDDo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>4\n"]}} {"board": "BooCCCBDDDEooFAAEoGFoHEIGFoHoIJJJHoI", "size": 6, "moves": 2, "solution": ["Ev2", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BooCCCBDDDEooFAAEoGFoHEIGFoHoIJJJHoI\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv2,A>2\n"]}} {"board": "AAoooBoooooBoooooBoooCooDDoCoooooCoo", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoooBoooooBoooooBoooCooDDoCoooooCoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "ooooooooBooooCBAADoCBooDoooooDEEoooo", "size": 6, "moves": 2, "solution": ["Dv1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooBooooCBAADoCBooDoooooDEEoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,A>1\n"]}} {"board": "oBoCCCoBoAADoBEoFDGoEHFoGoEHIIoJJHKK", "size": 6, "moves": 2, "solution": ["Dv1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoCCCoBoAADoBEoFDGoEHFoGoEHIIoJJHKK\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,A>1\n"]}} {"board": "ooooooBCooooBCoooDooAAoDooooooooEEEo", "size": 6, "moves": 2, "solution": ["D^1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooBCooooBCoooDooAAoDooooooooEEEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>2\n"]}} {"board": "ooooooBBBoooooooooCAADooCooDooCoEEEo", "size": 6, "moves": 2, "solution": ["D^2", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooBBBoooooooooCAADooCooDooCoEEEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,A>3\n"]}} {"board": "oooBoooooBooooooooooooCooAAoCoooooCo", "size": 6, "moves": 2, "solution": ["C^2", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoooooBooooooooooooCooAAoCoooooCo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>3\n"]}} {"board": "ooAAoBoCCoDBEooFDoEoGFDoooGFHHIIGooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAAoBoCCoDBEooFDoEoGFDoooGFHHIIGooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "oBoooooBooooooooCDooEoCDAAEoooooEooo", "size": 6, "moves": 2, "solution": ["E^2", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoooooBooooooooCDooEoCDAAEoooooEooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^2,A>4\n"]}} {"board": "oooBBBCoAAoDCooooDCooEooFFFEGGoHHooo", "size": 6, "moves": 2, "solution": ["Dv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBCoAAoDCooooDCooEooFFFEGGoHHooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,A>2\n"]}} {"board": "oBBBoCoooAACoooooCoooDDoEoooooEooooo", "size": 6, "moves": 2, "solution": ["Cv2", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBoCoooAACoooooCoooDDoEoooooEooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,A>1\n"]}} {"board": "ooooooooAABooooCBooooCBooooCoooooooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooAABooooCBooooCBooooCoooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "ooBAACoDBEECoDBooCooFFFoooGGGooHHHII", "size": 6, "moves": 2, "solution": ["Cv1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBAACoDBEECoDBooCooFFFoooGGGooHHHII\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>1\n"]}} {"board": "BCAADoBCooDEBooooEoFFFoEooGGGooooHHH", "size": 6, "moves": 2, "solution": ["Dv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BCAADoBCooDEBooooEoFFFoEooGGGooooHHH\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,A>2\n"]}} {"board": "oooooooooooooBoooCDBAAoCDoooooDoEEEo", "size": 6, "moves": 2, "solution": ["C^1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooooBoooCDBAAoCDoooooDoEEEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>2\n"]}} {"board": "ooBBBoCCCDDDoooAAEFGoooEFGoooEHHoooo", "size": 6, "moves": 2, "solution": ["Ev1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBoCCCDDDoooAAEFGoooEFGoooEHHoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,A>1\n"]}} {"board": "oooooooooooooooAABoCCCoBoooooBDDoooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooooooAABoCCCoBoooooBDDoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>1\n"]}} {"board": "oooBoooooBooCCCooooooooDooAAoDooEEoD", "size": 6, "moves": 2, "solution": ["D^2", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoooooBooCCCooooooooDooAAoDooEEoD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,A>2\n"]}} {"board": "oooooooAABoooooBooCCCooDoooooDoooEED", "size": 6, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooAABoooooBooCCCooDoooooDoooEED\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "oBCDoEFBCDoEFAAoGoooHIGJKKHILJooHILJ", "size": 6, "moves": 2, "solution": ["G^2", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBCDoEFBCDoEFAAoGoooHIGJKKHILJooHILJ\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nG^2,A>3\n"]}} {"board": "AAooBoCoooBoCDDEoFoGoEHFoGooHFoGoooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAooBoCoooBoCDDEoFoGoEHFoGooHFoGoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oBoCooDBoCooDBoCooEoAAFoEoGGFoEoooFo", "size": 6, "moves": 2, "solution": ["F^3", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoCooDBoCooDBoCooEoAAFoEoGGFoEoooFo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^3,A>2\n"]}} {"board": "ooooooooooBoooooBooCAABooCooDDoCoooo", "size": 6, "moves": 2, "solution": ["B^1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooBoooooBooCAABooCooDDoCoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,A>2\n"]}} {"board": "BBBCCCoooooooooooDooooEDoAAoEoooFFEo", "size": 6, "moves": 2, "solution": ["E^2", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBCCCoooooooooooDooooEDoAAoEoooFFEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^2,A>3\n"]}} {"board": "ooooooAAoooBCDoooBCDoooooDoEEEooooFF", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooAAoooBCDoooBCDoooooDoEEEooooFF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "ooooooAAoBoooooBooooCoooooCoooooCooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooAAoBoooooBooooCoooooCoooooCooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oBAACooBooCooooooDoooEEDoFoooDoFoGGG", "size": 6, "moves": 2, "solution": ["Cv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBAACooBooCooooooDoooEEDoFoooDoFoGGG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>2\n"]}} {"board": "ooBoooooBoooooBooooAAooCDDoooCoooooo", "size": 6, "moves": 2, "solution": ["C^2", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoooooBoooooBooooAAooCDDoooCoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>3\n"]}} {"board": "ooooooAAoooBoooooBoooooBoooooooooooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooAAoooBoooooBoooooBoooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oBBBooooCCCDAAoooDEFFGHHEooGoooooGoo", "size": 6, "moves": 2, "solution": ["D^1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBooooCCCDAAoooDEFFGHHEooGoooooGoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>4\n"]}} {"board": "BBBooooooooooooCoooooCooAAoCoooooooo", "size": 6, "moves": 2, "solution": ["C^1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBooooooooooooCoooooCooAAoCoooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>4\n"]}} {"board": "oooBBBooCoooAACoooDoooooDoooEEDooooo", "size": 6, "moves": 2, "solution": ["C^1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBooCoooAACoooDoooooDoooEEDooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>4\n"]}} {"board": "AAoBooCCoBoooDDoooEoooooEFFoGoEHHHGo", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoBooCCoBoooDDoooEoooooEFFoGoEHHHGo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oBBBooooooooooAAoCoooooCoDoooooDooEE", "size": 6, "moves": 2, "solution": ["C^2", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBooooooooooAAoCoooooCoDoooooDooEE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>2\n"]}} {"board": "ooooooooBoooooBoCoooAACooooooooooooo", "size": 6, "moves": 2, "solution": ["C^1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooBoooooBoCoooAACooooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>2\n"]}} {"board": "oBoooooBooooooooooAAoCoooooCoooDDCoo", "size": 6, "moves": 2, "solution": ["C^3", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoooooBooooooooooAAoCoooooCoooDDCoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^3,A>4\n"]}} {"board": "ooooooBBBoCoooAACoooooCoooDDoooooooo", "size": 6, "moves": 2, "solution": ["Cv2", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooBBBoCoooAACoooooCoooDDoooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,A>2\n"]}} {"board": "ooBoooooBCCCDDDoEooFooEooFAAoGoFHHoG", "size": 6, "moves": 2, "solution": ["G^2", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoooooBCCCDDDoEooFooEooFAAoGoFHHoG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nG^2,A>2\n"]}} {"board": "oAAooBoooooBCCCDDoEFGHHHEFGoIIEFoJJo", "size": 6, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAooBoooooBCCCDDoEFGHHHEFGoIIEFoJJo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "oooBBBAAoCoooooCDDooooEEooooooooooFF", "size": 6, "moves": 2, "solution": ["Cv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBAAoCoooooCDDooooEEooooooooooFF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>4\n"]}} {"board": "AAoBoooCCBooDDoBooEEEooFoGGooFooHHHF", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoBoooCCBooDDoBooEEEooFoGGooFooHHHF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "ooAAoBoCCCoBDDoooBEEFoGoHoFoGoHoFoGo", "size": 6, "moves": 2, "solution": ["Bv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAAoBoCCCoBDDoooBEEFoGoHoFoGoHoFoGo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "oooooooooAABoooooBoooooBoooCoooooCoo", "size": 6, "moves": 2, "solution": ["Bv1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooAABoooooBoooooBoooCoooooCoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>1\n"]}} {"board": "ooooooooBoooooBoooCDBoEoCDAAEoCDooEo", "size": 6, "moves": 2, "solution": ["E^2", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooBoooooBoooCDBoEoCDAAEoCDooEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^2,A>2\n"]}} {"board": "ooooBoooCoBoooCoBoDoCooEDoAAoEDFFFoE", "size": 6, "moves": 2, "solution": ["E^2", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoooCoBoooCoBoDoCooEDoAAoEDFFFoE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^2,A>2\n"]}} {"board": "ooBCCCooBoooooBDoooooDooAAoooEoooooE", "size": 6, "moves": 2, "solution": ["E^2", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBCCCooBoooooBDoooooDooAAoooEoooooE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^2,A>4\n"]}} {"board": "BoCoooBoCoooBoooooooooDooAAoDoEEooDo", "size": 6, "moves": 2, "solution": ["D^2", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoCoooBoCoooBoooooooooDooAAoDoEEooDo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,A>3\n"]}} {"board": "oooBoCDDDBoCooEBooooEooFGGGooFooAAoF", "size": 6, "moves": 2, "solution": ["F^1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoCDDDBoCooEBooooEooFGGGooFooAAoF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,A>2\n"]}} {"board": "ooBBBooooooooooooooooooooooCooAAoCoo", "size": 6, "moves": 2, "solution": ["C^1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBooooooooooooooooooooooCooAAoCoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>4\n"]}} {"board": "oooBBBooCCCoAAooDoEoooDoEooFooEooFoo", "size": 6, "moves": 2, "solution": ["Dv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBooCCCoAAooDoEoooDoEooFooEooFoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,A>4\n"]}} {"board": "ooBBBooooCoooooCooDooooEDooAAEDooooE", "size": 6, "moves": 2, "solution": ["E^2", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBooooCoooooCooDooooEDooAAEDooooE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^2,A>1\n"]}} {"board": "ooBoooAABoooCoBoooCooDoECooDoEoFFDoE", "size": 6, "moves": 2, "solution": ["Bv2", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoooAABoooCoBoooCooDoECooDoEoFFDoE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>4\n"]}} {"board": "oooBoooooBoooooBoooooooCAAoooCooooDD", "size": 6, "moves": 2, "solution": ["C^1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoooooBoooooBoooooooCAAoooCooooDD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>4\n"]}} {"board": "oooooooBoooCoBoAACoooooooooooooooooo", "size": 6, "moves": 2, "solution": ["C^1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooBoooCoBoAACoooooooooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>1\n"]}} {"board": "ooooooAABoooooBoCCooBDDooooooooooooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooAABoooooBoCCooBDDooooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "ooooooooooooooooooBCoAADBCoEFDBCoEFo", "size": 6, "moves": 2, "solution": ["D^2", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooooooooooBCoAADBCoEFDBCoEFo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,A>1\n"]}} {"board": "oooooBoooooBooAAoBoooooooooCoooooCoo", "size": 6, "moves": 2, "solution": ["Bv3", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoooooBooAAoBoooooooooCoooooCoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv3,A>2\n"]}} {"board": "ooooBoooooBooAAoBooCCoooDDDooooEEooo", "size": 6, "moves": 2, "solution": ["Bv3", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoooooBooAAoBooCCoooDDDooooEEooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv3,A>3\n"]}} {"board": "oooooooooooooooooooBBBoCAAoooCooDDoC", "size": 6, "moves": 2, "solution": ["C^2", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooooooooooBBBoCAAoooCooDDoC\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>4\n"]}} {"board": "oooooooooBBBooAACoooooCoDDDooooooEEE", "size": 6, "moves": 2, "solution": ["Cv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBBBooAACoooooCoDDDooooooEEE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>2\n"]}} {"board": "oooooooAABooCCDBooooDBooooDoooooEEoo", "size": 6, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooAABooCCDBooooDBooooDoooooEEoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "BoAAoCBDEEoCBDFFGoHDooGIHJJoGIoKKLLL", "size": 6, "moves": 2, "solution": ["Cv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoAAoCBDEEoCBDFFGoHDooGIHJJoGIoKKLLL\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>2\n"]}} {"board": "oooAABoooCDBoooCDoooEEoooooFooGGGFoo", "size": 6, "moves": 2, "solution": ["Bv1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooAABoooCDBoooCDoooEEoooooFooGGGFoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>1\n"]}} {"board": "ooooBoAAooBoooooooooooooooooCCDDDooo", "size": 6, "moves": 2, "solution": ["Bv2", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoAAooBoooooooooooooooooCCDDDooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>4\n"]}} {"board": "oBAACooBooCooBooCoooooooDDoooooooEEo", "size": 6, "moves": 2, "solution": ["Cv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBAACooBooCooBooCoooooooDDoooooooEEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>2\n"]}} {"board": "ooooooooooooAAoooBoooooBoCCoDoooEEDo", "size": 6, "moves": 2, "solution": ["B^2", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooooAAoooBoooooBoCCoDoooEEDo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^2,A>4\n"]}} {"board": "ooooooooAAoBooooCBoDDoCooooooooooooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooAAoBooooCBoDDoCooooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "oooooBoCoooBDCooooDCooooAAoEoooooEFF", "size": 6, "moves": 2, "solution": ["E^2", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoCoooBDCooooDCooooAAoEoooooEFF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^2,A>4\n"]}} {"board": "AAoooBoooooBoooCoooooCoooooooooooooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoooBoooooBoooCoooooCoooooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oooooooooooooBBBoCoooAACooDDDCoooooo", "size": 6, "moves": 2, "solution": ["C^2", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooooBBBoCoooAACooDDDCoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>1\n"]}} {"board": "oAABoooooBooooooooooooCCoooDoooooDoo", "size": 6, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAABoooooBooooooooooooCCoooDoooooDoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "ooBooCooBAACooooooDEoFooDEoFooDooFoo", "size": 6, "moves": 2, "solution": ["Cv2", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBooCooBAACooooooDEoFooDEoFooDooFoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,A>1\n"]}} {"board": "ooooooooBoooAABooooCCCDooEEoDoooooDo", "size": 6, "moves": 2, "solution": ["B^1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooBoooAABooooCCCDooEEoDoooooDo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,A>4\n"]}} {"board": "BBBoooAAoooCoooooCoooooCooooooDDoooo", "size": 6, "moves": 2, "solution": ["Cv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBoooAAoooCoooooCoooooCooooooDDoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>4\n"]}} {"board": "ooooooooooooAAoooBoooooBoooooBoooooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooooAAoooBoooooBoooooBoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oBCooooBCDDDoBCooooEoooooEFFFGoEAAoG", "size": 6, "moves": 2, "solution": ["G^1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBCooooBCDDDoBCooooEoooooEFFFGoEAAoG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nG^1,A>2\n"]}} {"board": "oooooooooBoooAABoooooCDoooECDoooEoFF", "size": 6, "moves": 2, "solution": ["B^1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBoooAABoooooCDoooECDoooEoFF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,A>3\n"]}} {"board": "ooooooooooooooooooAABoooCoBDooCoBDoo", "size": 6, "moves": 2, "solution": ["B^3", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooooooooooAABoooCoBDooCoBDoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^3,A>4\n"]}} {"board": "ooAAoBooCCoBoooooooDEooooDEFFFoDEooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAAoBooCCoBoooooooDEooooDEFFFoDEooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "oAAooBoCoooBoCoooBDEEoooDoooooDooFFo", "size": 6, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAooBoCoooBoCoooBDEEoooDoooooDooFFo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "ooooooAABoooooBCCCoDoooEFDoooEFGGooE", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooAABoooooBCCCoDoooEFDoooEFGGooE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oooooooooooBooCooBAACoooooCDDDoooooo", "size": 6, "moves": 2, "solution": ["C^2", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooBooCooBAACoooooCDDDoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>4\n"]}} {"board": "oBoAACoBoDDCoBEFFoGGEoHIJKELHIJKoLHI", "size": 6, "moves": 2, "solution": ["Cv1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoAACoBoDDCoBEFFoGGEoHIJKELHIJKoLHI\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>1\n"]}} {"board": "oBoooooBoooooBoooCDoAAoCDooooooooooo", "size": 6, "moves": 2, "solution": ["C^1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoooooBoooooBoooCDoAAoCDooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>2\n"]}} {"board": "ooooBooAAoBooooCooooDCooEEDoooooDooo", "size": 6, "moves": 2, "solution": ["Bv2", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBooAAoBooooCooooDCooEEDoooooDooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>3\n"]}} {"board": "oooAABCCoooBoooooooooDEoooFDEoooFoEo", "size": 6, "moves": 2, "solution": ["Bv1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooAABCCoooBoooooooooDEoooFDEoooFoEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>1\n"]}} {"board": "oBoooooBCCCoooooooDoEEEFDoAAoFoooooF", "size": 6, "moves": 2, "solution": ["F^2", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoooooBCCCoooooooDoEEEFDoAAoFoooooF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^2,A>2\n"]}} {"board": "oooBBBooooooooooCoooooCDooAAoDoooooD", "size": 6, "moves": 2, "solution": ["D^2", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBooooooooooCoooooCDooAAoDoooooD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,A>2\n"]}} {"board": "ooooBooAAoBoooooooooooooCCCooooooooo", "size": 6, "moves": 2, "solution": ["Bv2", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBooAAoBoooooooooooooCCCooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>3\n"]}} {"board": "ooooBoooooBoooooCoooooCoooooCDoooAAD", "size": 6, "moves": 2, "solution": ["D^1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoooooBoooooCoooooCoooooCDoooAAD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>1\n"]}} {"board": "oBoooooBoAACooDDDCooooooooEEooooooFF", "size": 6, "moves": 2, "solution": ["Cv1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoooooBoAACooDDDCooooooooEEooooooFF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>1\n"]}} {"board": "ooooBoAAooBooooooooooooooCCooDoooooD", "size": 6, "moves": 2, "solution": ["Bv2", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoAAooBooooooooooooooCCooDoooooD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>4\n"]}} {"board": "oAAooBCCCDDBooEEEBooFFFooGGHHHIIIooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAooBCCCDDBooEEEBooFFFooGGHHHIIIooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "oooBBBAAoooCoDooECoDooEooDooEFoooooF", "size": 6, "moves": 2, "solution": ["Cv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBAAoooCoDooECoDooEooDooEFoooooF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>4\n"]}} {"board": "oooooooAAoBoooooBCoooooCoooDDDoooooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooAAoBoooooBCoooooCoooDDDoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "oBoooooBooooooCDDDAACooooEEFFFoooooo", "size": 6, "moves": 2, "solution": ["C^1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoooooBooooooCDDDAACooooEEFFFoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>4\n"]}} {"board": "oooBBBCoooooCoAAoDoEoooDoEoooDoEoooo", "size": 6, "moves": 2, "solution": ["Dv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBCoooooCoAAoDoEoooDoEoooDoEoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,A>2\n"]}} {"board": "oAAooBoooooBoooooooooCDooooCDooooCDo", "size": 6, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAooBoooooBoooooooooCDooooCDooooCDo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "BBBooooCDEooFCDEooFCoEooooAAGooHHHGo", "size": 6, "moves": 2, "solution": ["G^2", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBooooCDEooFCDEooFCoEooooAAGooHHHGo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nG^2,A>2\n"]}} {"board": "BoCDEoBoCDEoBFGoHIoFGoHIooGAAIooooJJ", "size": 6, "moves": 2, "solution": ["I^1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoCDEoBoCDEoBFGoHIoFGoHIooGAAIooooJJ\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nI^1,A>1\n"]}} {"board": "ooooooBBBooCooAAoCDDDoEoFFFoEooGGooo", "size": 6, "moves": 2, "solution": ["C^1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooBBBooCooAAoCDDDoEoFFFoEooGGooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>2\n"]}} {"board": "AABoooooBoCoooooCoooooDoooooDooooooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AABoooooBoCoooooCoooooDoooooDooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oooooooooooooooooBoAAooBoCoooooCoDDD", "size": 6, "moves": 2, "solution": ["B^1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooooooooBoAAooBoCoooooCoDDD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,A>3\n"]}} {"board": "oBoooooBAACooooDCoEFGDooEFGHHoEFGoII", "size": 6, "moves": 2, "solution": ["Cv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoooooBAACooooDCoEFGDooEFGHHoEFGoII\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>2\n"]}} {"board": "oooooooAAooBooCooBoDCooooDCooEoooooE", "size": 6, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooAAooBooCooBoDCooooDCooEoooooE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "oBooCDoBooCDoBAACooooooooooooooooooo", "size": 6, "moves": 2, "solution": ["Cv3", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBooCDoBooCDoBAACooooooooooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv3,A>2\n"]}} {"board": "ooBoooooBooCAAoooCoooDEoFooDEoFooDEo", "size": 6, "moves": 2, "solution": ["C^1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoooooBooCAAoooCoooDEoFooDEoFooDEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>4\n"]}} {"board": "oooBBBooAACoooooCoooooCooooooooDDDoo", "size": 6, "moves": 2, "solution": ["Cv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBooAACoooooCoooooCooooooooDDDoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>2\n"]}} {"board": "ooAABoooCoBoooCoooooCoooDDDooooooooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAABoooCoBoooCoooooCoooDDDooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "oooAABCCCDoBoooDEoFooDEoFoooGGFoHHoo", "size": 6, "moves": 2, "solution": ["Bv1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooAABCCCDoBoooDEoFooDEoFoooGGFoHHoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>1\n"]}} {"board": "ooBoooAABoooooooooooooooooooCCoooooo", "size": 6, "moves": 2, "solution": ["Bv2", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoooAABoooooooooooooooooooCCoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>4\n"]}} {"board": "ooooBoooooBCoooooCDooAACDEooooDEoooo", "size": 6, "moves": 2, "solution": ["C^1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoooooBCoooooCDooAACDEooooDEoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>1\n"]}} {"board": "oooooBAAoooBoooooBooooooooCoooooCDDo", "size": 6, "moves": 2, "solution": ["Bv2", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBAAoooBoooooBooooooooCoooooCDDo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>4\n"]}} {"board": "ooAAoBoooooBoooCCoooooDoooooDoooooDo", "size": 6, "moves": 2, "solution": ["Bv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAAoBoooooBoooCCoooooDoooooDoooooDo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "ooooBoAAooBoooCoBoooCooooooooooooooo", "size": 6, "moves": 2, "solution": ["Bv2", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoAAooBoooCoBoooCooooooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>4\n"]}} {"board": "BCooooBCoDDDBCAAEoooooEFGHHHEFGoIIoF", "size": 6, "moves": 2, "solution": ["Ev1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BCooooBCoDDDBCAAEoooooEFGHHHEFGoIIoF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,A>2\n"]}} {"board": "ooooooBoooooBoooooBoCDDDAACoooooCooo", "size": 6, "moves": 2, "solution": ["C^2", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooBoooooBoooooBoCDDDAACoooooCooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>4\n"]}} {"board": "ooooooooooooooooooBoooooBoCoooAACooo", "size": 6, "moves": 2, "solution": ["C^1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooooooooooBoooooBoCoooAACooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>4\n"]}} {"board": "oBBBooooooooCCCDoooAADooEEoooooooooo", "size": 6, "moves": 2, "solution": ["D^1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBooooooooCCCDoooAADooEEoooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>3\n"]}} {"board": "oAAoBoooCCBooDDEBooFoEooGFoEHHGFoooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAoBoooCCBooDDEBooFoEooGFoEHHGFoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "ooooooooooooAAooBooooCBoDDoCEooFFCEo", "size": 6, "moves": 2, "solution": ["B^2", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooooAAooBooooCBoDDoCEooFFCEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^2,A>4\n"]}} {"board": "ooBBBoooCoDoEoCoDoEoCAAFoGGHIFJJoHIF", "size": 6, "moves": 2, "solution": ["F^3", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBoooCoDoEoCoDoEoCAAFoGGHIFJJoHIF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^3,A>1\n"]}} {"board": "ooBBBoCDDDoECAAooECooFFFooGGoooHHHoo", "size": 6, "moves": 2, "solution": ["E^1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBoCDDDoECAAooECooFFFooGGoooHHHoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,A>3\n"]}} {"board": "ooAAoBooCCCBDDDoEoooooEooFGGoooFoHHH", "size": 6, "moves": 2, "solution": ["Bv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAAoBooCCCBDDDoEoooooEooFGGoooFoHHH\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "oBoooooBoooooBCoooooCooDoAAooDoooooD", "size": 6, "moves": 2, "solution": ["D^2", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoooooBoooooBCoooooCooDoAAooDoooooD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,A>3\n"]}} {"board": "BBBoooooooCoooDoCoooDoooAADooooooooo", "size": 6, "moves": 2, "solution": ["D^1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBoooooooCoooDoCoooDoooAADooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>4\n"]}} {"board": "oooBBBoooooooooooooooooCAAoooCoooooo", "size": 6, "moves": 2, "solution": ["C^1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBoooooooooooooooooCAAoooCoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>4\n"]}} {"board": "oooBBBooCCCoooooooAAoDooEEoDFFoooooo", "size": 6, "moves": 2, "solution": ["Dv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBooCCCoooooooAAoDooEEoDFFoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,A>4\n"]}} {"board": "ooooooooBoooAABoooooBCCooooDoooooDoo", "size": 6, "moves": 2, "solution": ["Bv2", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooBoooAABoooooBCCooooDoooooDoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>4\n"]}} {"board": "oBBBoooCoooooCoooooCoooDoAAooDoooooD", "size": 6, "moves": 2, "solution": ["D^2", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBoooCoooooCoooooCoooDoAAooDoooooD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,A>3\n"]}} {"board": "AAoooBCCooDBEFFoDoEoooDoooGGGoHHHooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoooBCCooDBEFFoDoEoooDoooGGGoHHHooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "ooBoooooBoCoooBoCoooAACooDoEEooDoooo", "size": 6, "moves": 2, "solution": ["C^1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoooooBoCoooBoCoooAACooDoEEooDoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>2\n"]}} {"board": "AABooooCBoDooCoEDFGCHEoFGoHEoFGoIIJJ", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AABooooCBoDooCoEDFGCHEoFGoHEoFGoIIJJ\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "AAoooBooCCoBoooooBoooooooooooooooooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoooBooCCoBoooooBoooooooooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "ooooooooooBoooAABoooooBoooCCoooooooo", "size": 6, "moves": 2, "solution": ["Bv2", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooBoooAABoooooBoooCCoooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>2\n"]}} {"board": "oooooooooooBoooooBooooooooooCooAAoCo", "size": 6, "moves": 2, "solution": ["C^1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooBoooooBooooooooooCooAAoCo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>3\n"]}} {"board": "ooooooooooooooAAoBoooooBCooooBCooooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooooooAAoBoooooBCooooBCooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "ooooooAAooBoCCooBoDEEEBoDoFoooDoFooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooAAooBoCCooBoDEEEBoDoFoooDoFooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "BoooooBooooCooAAoCDEoFGoDEoFGoDEoFoo", "size": 6, "moves": 2, "solution": ["C^1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoooooBooooCooAAoCDEoFGoDEoFGoDEoFoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>2\n"]}} {"board": "ooooooAABoooooBoooooBCCooooooDoooooD", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooAABoooooBoooooBCCooooooDoooooD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oBoAACoBoooCoDooooEDoFooEGGFooEooFHH", "size": 6, "moves": 2, "solution": ["Cv1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoAACoBoooCoDooooEDoFooEGGFooEooFHH\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>1\n"]}} {"board": "ooAAoBoCCoDBEFFoDBEGGGDoHooIooHooIJJ", "size": 6, "moves": 2, "solution": ["Bv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAAoBoCCoDBEFFoDBEGGGDoHooIooHooIJJ\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "oAAooBoCoooBDCEoooDCEoooooEFFooooGGG", "size": 6, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAooBoCoooBDCEoooDCEoooooEFFooooGGG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "BBBooooCoooDoCoAADoooooDooooEoooooEo", "size": 6, "moves": 2, "solution": ["Dv2", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBooooCoooDoCoAADoooooDooooEoooooEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv2,A>1\n"]}} {"board": "ooAAoBCCCooBDooooBDEEoooDFoGGGoFHHoo", "size": 6, "moves": 2, "solution": ["Bv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAAoBCCCooBDooooBDEEoooDFoGGGoFHHoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "ooBoooooBCCCAAoooDooEFGDooEFGDooEFGo", "size": 6, "moves": 2, "solution": ["Dv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoooooBCCCAAoooDooEFGDooEFGDooEFGo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,A>4\n"]}} {"board": "oooooooooooooooooBoooAABooooooCCoooo", "size": 6, "moves": 2, "solution": ["B^1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooooooooBoooAABooooooCCoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,A>1\n"]}} {"board": "ooBCCCooBoooooBoooooooDoooAADooooEEE", "size": 6, "moves": 2, "solution": ["D^1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBCCCooBoooooBoooooooDoooAADooooEEE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>2\n"]}} {"board": "ooBoooooBoooooooCoooooCoAAooCooDDooo", "size": 6, "moves": 2, "solution": ["C^1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoooooBoooooooCoooooCoAAooCooDDooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>4\n"]}} {"board": "ooooooAAoooBoooooBoooCoooDDCoooooCoo", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooAAoooBoooooBoooCoooDDCoooooCoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oooooooooooBCooAABCoooooCoooooooDDoo", "size": 6, "moves": 2, "solution": ["B^1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooBCooAABCoooooCoooooooDDoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,A>1\n"]}} {"board": "oooooooBBBoCoooAACoooooooooooooooooo", "size": 6, "moves": 2, "solution": ["C^1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooBBBoCoooAACoooooooooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>1\n"]}} {"board": "oooooooooooooBBBoCDooooCDAAooCDooEEE", "size": 6, "moves": 2, "solution": ["C^1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooooBBBoCDooooCDAAooCDooEEE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>3\n"]}} {"board": "oAAooBoCoooBoCoDDBoCEFFoooEGGGoooHHH", "size": 6, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAooBoCoooBoCoDDBoCEFFoooEGGGoooHHH\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "ooooooooooooAAoooBoooooBooCCoooooooo", "size": 6, "moves": 2, "solution": ["B^2", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooooAAoooBoooooBooCCoooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^2,A>4\n"]}} {"board": "oBCDoooBCDoEooAAoEFooGGGFoHHHoFooIIo", "size": 6, "moves": 2, "solution": ["E^1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBCDoooBCDoEooAAoEFooGGGFoHHHoFooIIo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,A>2\n"]}} {"board": "oooAABoooCCBooDDoBooooooooooEEoooooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooAABoooCCBooDDoBooooooooooEEoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>1\n"]}} {"board": "ooBoooAABoooooooooCoooDoCoEEDoCoooDo", "size": 6, "moves": 2, "solution": ["Bv2", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoooAABoooooooooCoooDoCoEEDoCoooDo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>4\n"]}} {"board": "oooooooooBoooooBoooAABooCCoooDoooooD", "size": 6, "moves": 2, "solution": ["B^1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBoooooBoooAABooCCoooDoooooD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,A>3\n"]}} {"board": "oooooooAABooCCCBooDDDBoooEEooooooooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooAABooCCCBooDDDBoooEEooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "oAAoBoCCCoBDooEFBDGGEFooooEFooHHHoII", "size": 6, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAoBoCCCoBDooEFBDGGEFooooEFooHHHoII\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "ooBoCoooBoCoooBoooDDDooEoooAAEoooooE", "size": 6, "moves": 2, "solution": ["E^2", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoCoooBoCoooBoooDDDooEoooAAEoooooE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^2,A>1\n"]}} {"board": "oooooBAAoooBoooooBoooooooCCoooooooDD", "size": 6, "moves": 2, "solution": ["Bv2", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBAAoooBoooooBoooooooCCoooooooDD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>4\n"]}} {"board": "AAooBoooooBoooooooCoDDEoCFooEoCFooEo", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAooBoooooBoooooooCoDDEoCFooEoCFooEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "AAoBoooooBooooooooooooooooCoDDooCoEE", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoBoooooBooooooooooooooooCoDDooCoEE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oooooooooooBoooooBCoAAoBCDDDoooooooo", "size": 6, "moves": 2, "solution": ["B^1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooBoooooBCoAAoBCDDDoooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,A>2\n"]}} {"board": "oBoooooBoCoDEEECoDoooooDAAooFoooGGFo", "size": 6, "moves": 2, "solution": ["F^2", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoooooBoCoDEEECoDoooooDAAooFoooGGFo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^2,A>4\n"]}} {"board": "ooooBooAAoBoooooooCooooDCooooDCooooD", "size": 6, "moves": 2, "solution": ["Bv2", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBooAAoBoooooooCooooDCooooDCooooD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>3\n"]}} {"board": "BBBooCoAAooCDDooooooEEFooGGoFoooooFo", "size": 6, "moves": 2, "solution": ["Cv2", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBooCoAAooCDDooooooEEFooGGoFoooooFo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,A>3\n"]}} {"board": "oBoooCoBoDoCoAADooooooooooEEEooFFFoo", "size": 6, "moves": 2, "solution": ["D^1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoooCoBoDoCoAADooooooooooEEEooFFFoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>3\n"]}} {"board": "oooBBBoooAACoDDooCoooooCoooooooooooo", "size": 6, "moves": 2, "solution": ["Cv1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBoooAACoDDooCoooooCoooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>1\n"]}} {"board": "oooooooBBBCoooooCooooDCooooDoooAADoo", "size": 6, "moves": 2, "solution": ["D^1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooBBBCoooooCooooDCooooDoooAADoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>3\n"]}} {"board": "ooooBoooooBooooCBooAACooDDoooooooooo", "size": 6, "moves": 2, "solution": ["C^1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoooooBooooCBooAACooDDoooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>3\n"]}} {"board": "oooooooooooooooBooCCCBoDoooBoDoAAooD", "size": 6, "moves": 2, "solution": ["D^1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooooooBooCCCBoDoooBoDoAAooD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>3\n"]}} {"board": "ooooooBooCCCBAADooBooDoooooooooooEEo", "size": 6, "moves": 2, "solution": ["Dv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooBooCCCBAADooBooDoooooooooooEEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,A>3\n"]}} {"board": "ooooooooooooooooooBAAooCBoDDDCBEEooC", "size": 6, "moves": 2, "solution": ["C^3", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooooooooooBAAooCBoDDDCBEEooC\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^3,A>3\n"]}} {"board": "ooooBoooAABoooooooooooooooCCCoDDDooo", "size": 6, "moves": 2, "solution": ["Bv2", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoooAABoooooooooooooooCCCoDDDooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>2\n"]}} {"board": "ooBoooooBoooooBoCooDAACooDooCooDoooo", "size": 6, "moves": 2, "solution": ["C^2", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoooooBoooooBoCooDAACooDooCooDoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>2\n"]}} {"board": "oBoCCCoBooDoEoooDoEFGGGHEFAAoHoFoIIH", "size": 6, "moves": 2, "solution": ["H^2", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoCCCoBooDoEoooDoEFGGGHEFAAoHoFoIIH\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nH^2,A>2\n"]}} {"board": "oBBBooAAoooCoooooCoDDDECoFGGEooFooEo", "size": 6, "moves": 2, "solution": ["Cv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBooAAoooCoooooCoDDDECoFGGEooFooEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>4\n"]}} {"board": "AAoooBoooCoBoooCooooooDoooooDooooooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoooBoooCoBoooCooooooDoooooDooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oooBBBooCoooooCoDooEEEDFAAoooFoGGooF", "size": 6, "moves": 2, "solution": ["F^2", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBooCoooooCoDooEEEDFAAoooFoGGooF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^2,A>4\n"]}} {"board": "oooBoooooBooCooBooCoooDoCoAADooooooo", "size": 6, "moves": 2, "solution": ["D^1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoooooBooCooBooCoooDoCoAADooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>2\n"]}} {"board": "ooooBoooooBooCoooooCoooooAADooEEoDoo", "size": 6, "moves": 2, "solution": ["D^2", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoooooBooCoooooCoooooAADooEEoDoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,A>3\n"]}} {"board": "oAABoooooBCCooDBooooDooooooEEooFFooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAABoooooBCCooDBooooDooooooEEooFFooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "ooooooBoAAoCBoooDCBEEoDCoFoGoooFoGoo", "size": 6, "moves": 2, "solution": ["Cv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooBoAAoCBoooDCBEEoDCoFoGoooFoGoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>2\n"]}} {"board": "ooooooBBBooooAAooCooDooCooDoooooDEEE", "size": 6, "moves": 2, "solution": ["C^2", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooBBBooooAAooCooDooCooDoooooDEEE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>3\n"]}} {"board": "oooBoooooBoooooBooooCAADoECooDoECooD", "size": 6, "moves": 2, "solution": ["D^3", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoooooBoooooBooooCAADoECooDoECooD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^3,A>1\n"]}} {"board": "ooooooAAoooBooooCBooooCoooooCooooDDD", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooAAoooBooooCBooooCoooooCooooDDD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "AABoooooBoooooBoCoooooCDooEoCDooEooD", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AABoooooBoooooBoCoooooCDooEoCDooEooD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oBoooooBoooooCoAADECFooDECFooooooGGo", "size": 6, "moves": 2, "solution": ["D^2", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoooooBoooooCoAADECFooDECFooooooGGo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,A>1\n"]}} {"board": "AAooBooooCBoDDoCooooEEoooooooooooooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAooBooooCBoDDoCooooEEoooooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "ooooBooCCCBooAAoBoooooooooooooooDDoo", "size": 6, "moves": 2, "solution": ["Bv3", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBooCCCBooAAoBoooooooooooooooDDoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv3,A>3\n"]}} {"board": "ooBoooooBCooooBCoooAACooDDooEEoFFFoo", "size": 6, "moves": 2, "solution": ["C^1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoooooBCooooBCoooAACooDDooEEoFFFoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>3\n"]}} {"board": "oooooooooAABoCCooBoooooooooooooDDooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooAABoCCooBoooooooooooooDDooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>1\n"]}} {"board": "AAooBoooooBooooooCoooDoCoooDoooooEEE", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAooBoooooBooooooCoooDoCoooDoooooEEE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "ooAABoooooBooCCCBoDoEoooDoEoooooEooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAABoooooBooCCCBoDoEoooDoEoooooEooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "ooooooBoCoooBoCooDooCooDoEoAADoEooFF", "size": 6, "moves": 2, "solution": ["D^1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooBoCoooBoCooDooCooDoEoAADoEooFF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>1\n"]}} {"board": "oooooooooBoooAABooCooDDDCoEoooCoEFFo", "size": 6, "moves": 2, "solution": ["B^1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBoooAABooCooDDDCoEoooCoEFFo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,A>3\n"]}} {"board": "oooBBBooCCCooDoAAEFDGooEFHGooEFHIIoo", "size": 6, "moves": 2, "solution": ["Ev1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBooCCCooDoAAEFDGooEFHGooEFHIIoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,A>1\n"]}} {"board": "oAABoooooBoooooooooooCCoooooDDoooEEE", "size": 6, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAABoooooBoooooooooooCCoooooDDoooEEE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "ooooooooooooooAABoooCoBoooCoBoooCooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooooooAABoooCoBoooCoBoooCooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "ooAAoBoCCDoBooEDooooEDoFoooooFooGGHH", "size": 6, "moves": 2, "solution": ["Bv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAAoBoCCDoBooEDooooEDoFoooooFooGGHH\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "oAAoBoooooBooooooooooooooooooCoDDooC", "size": 6, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAoBoooooBooooooooooooooooooCoDDooC\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "oooooBoooCoBDAACooDEEFGoDoHFGIooHoGI", "size": 6, "moves": 2, "solution": ["C^1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoooCoBDAACooDEEFGoDoHFGIooHoGI\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>3\n"]}} {"board": "oAAooBooCCoBoooDoooooDooEEEooooooooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAooBooCCoBoooDoooooDooEEEooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "oooooooooBBBooAAoCoooooCoooooooooooo", "size": 6, "moves": 2, "solution": ["Cv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBBBooAAoCoooooCoooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>2\n"]}} {"board": "oooooooooooooAABoooCoBoooCoDDooooooo", "size": 6, "moves": 2, "solution": ["B^2", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooooAABoooCoBoooCoDDooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^2,A>3\n"]}} {"board": "oooBBBoCoDDDoCEEEoFGGGoHFAAooHFoIIJJ", "size": 6, "moves": 2, "solution": ["H^1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBoCoDDDoCEEEoFGGGoHFAAooHFoIIJJ\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nH^1,A>3\n"]}} {"board": "AAooBooCooBooCooooDDDooEoFFFoEoooGGE", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAooBooCooBooCooooDDDooEoFFFoEoooGGE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oBoooooBoCCCoBooooDAAooEDFFooEDooGGo", "size": 6, "moves": 2, "solution": ["Ev1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoooooBoCCCoBooooDAAooEDFFooEDooGGo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,A>3\n"]}} {"board": "BoCAADBoCEEDBoooFoGGGoFHoooIJHKKKIJo", "size": 6, "moves": 2, "solution": ["Dv1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoCAADBoCEEDBoooFoGGGoFHoooIJHKKKIJo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,A>1\n"]}} {"board": "ooBoooooBoooAAoooCooooDCooooDoooooDo", "size": 6, "moves": 2, "solution": ["C^2", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoooooBoooAAoooCooooDCooooDoooooDo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>4\n"]}} {"board": "ooAAoBooCDEBFFCDEoGoCooHGoIIIHGooooH", "size": 6, "moves": 2, "solution": ["Bv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAAoBooCDEBFFCDEoGoCooHGoIIIHGooooH\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "ooBoooAABoooooBooooooooooCoooooCoooo", "size": 6, "moves": 2, "solution": ["Bv2", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoooAABoooooBooooooooooCoooooCoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>4\n"]}} {"board": "oooAABCCCooBoDDoEBFFFoEooGGoEoHHoIIo", "size": 6, "moves": 2, "solution": ["Bv1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooAABCCCooBoDDoEBFFFoEooGGoEoHHoIIo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>1\n"]}} {"board": "oAAoBoCCCDBoEEFDoGooFDoGooFoHHooIIJJ", "size": 6, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAoBoCCCDBoEEFDoGooFDoGooFoHHooIIJJ\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "oAABoooCoBDDECoBoFEGoooFHGooooHGoooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAABoooCoBDDECoBoFEGoooFHGooooHGoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "oooooooAAoBoooooBoooooooCooDDDCoEEoo", "size": 6, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooAAoBoooooBoooooooCooDDDCoEEoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "ooAABoooooBCDDooBCEFGGoHEFIIIHEFJJJH", "size": 6, "moves": 2, "solution": ["Bv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAABoooooBCDDooBCEFGGoHEFIIIHEFJJJH\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "oooBBBooooooooAACoooDECooFDEoooFDEoo", "size": 6, "moves": 2, "solution": ["Cv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBooooooooAACoooDECooFDEoooFDEoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>2\n"]}} {"board": "oBBBooooooCooAAoCoDDEEEooFFoooooooGG", "size": 6, "moves": 2, "solution": ["C^1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBooooooCooAAoCoDDEEEooFFoooooooGG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>3\n"]}} {"board": "oAAoBoooooBoCoDDoECFFooEGGGoHIoJJoHI", "size": 6, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAoBoooooBoCoDDoECFFooEGGGoHIoJJoHI\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "ooooBoooooBooAAoBoooooooooooooCCoooo", "size": 6, "moves": 2, "solution": ["Bv3", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoooooBooAAoBoooooooooooooCCoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv3,A>3\n"]}} {"board": "ooooooooooooBoooCoBoAACoooooooooDDEE", "size": 6, "moves": 2, "solution": ["C^1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooooBoooCoBoAACoooooooooDDEE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>2\n"]}} {"board": "ooooBoooCoBooDCoBEoDoAAEoooooEooooFF", "size": 6, "moves": 2, "solution": ["E^2", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoooCoBooDCoBEoDoAAEoooooEooooFF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^2,A>1\n"]}} {"board": "BAAoCoBDDDCoBoooooEooFFFEGGGooEooooo", "size": 6, "moves": 2, "solution": ["Cv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BAAoCoBDDDCoBoooooEooFFFEGGGooEooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>3\n"]}} {"board": "oBBBoCoooooCoooooooAADoooooDooEEoooo", "size": 6, "moves": 2, "solution": ["D^2", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBoCoooooCoooooooAADoooooDooEEoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,A>3\n"]}} {"board": "ooooooBCAAoDBCEEEDBCoFoooooFoooooFoo", "size": 6, "moves": 2, "solution": ["Dv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooBCAAoDBCEEEDBCoFoooooFoooooFoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,A>2\n"]}} {"board": "ooooooooooBooCCCBDEoFooDEoFAADEoFooo", "size": 6, "moves": 2, "solution": ["D^1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooBooCCCBDEoFooDEoFAADEoFooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>1\n"]}} {"board": "oooooooooooBoAAooBooooooCoooDDCooooo", "size": 6, "moves": 2, "solution": ["B^1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooBoAAooBooooooCoooDDCooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,A>3\n"]}} {"board": "AABoooooBCooooBCDDooooooEEEoFGoHHoFG", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AABoooooBCooooBCDDooooooEEEoFGoHHoFG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oooAABoCDDoBoCEEEBoCooooooFFoGoooooG", "size": 6, "moves": 2, "solution": ["Bv1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooAABoCDDoBoCEEEBoCooooooFFoGoooooG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>1\n"]}} {"board": "oooooooooooooooooooooooooBBBoCoooAAC", "size": 6, "moves": 2, "solution": ["C^1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooooooooooooooooBBBoCoooAAC\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>1\n"]}} {"board": "AAoooBoooooBoCooooDCEFFoDCEGGGDoEooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoooBoooooBoCooooDCEFFoDCEGGGDoEooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oAAooBoooooBooooooCCDoooooDEEoooDFFo", "size": 6, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAooBoooooBooooooCCDoooooDEEoooDFFo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "AAoooBoooooBoooooBooooooooooCoooooCo", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoooBoooooBoooooBooooooooooCoooooCo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "ooAABoooooBooCCoBoooDDoEooooFEooooFE", "size": 6, "moves": 2, "solution": ["Bv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAABoooooBooCCoBoooDDoEooooFEooooFE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "BBBooooooCDooooCDoAAoCooEEoooooooooo", "size": 6, "moves": 2, "solution": ["C^1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBooooooCDooooCDoAAoCooEEoooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>4\n"]}} {"board": "BBBoCoDEAACoDEoFooGEHFooGoHIIoGoHJJJ", "size": 6, "moves": 2, "solution": ["Cv2", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBoCoDEAACoDEoFooGEHFooGoHIIoGoHJJJ\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,A>2\n"]}} {"board": "ooooooooooooooooooooooBoAAooBoooCCBo", "size": 6, "moves": 2, "solution": ["B^2", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooooooooooooooBoAAooBoooCCBo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^2,A>4\n"]}} {"board": "ooooooooooooAABoooooBCoDoooCoDEEoCoD", "size": 6, "moves": 2, "solution": ["B^2", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooooAABoooooBCoDoooCoDEEoCoD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^2,A>4\n"]}} {"board": "oooooooooooBoooooBooooCBooAACoooDDoo", "size": 6, "moves": 2, "solution": ["C^1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooBoooooBooooCBooAACoooDDoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>2\n"]}} {"board": "oBBBoCoooooCoooDoCoooDoooooDEoooAAEo", "size": 6, "moves": 2, "solution": ["E^1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBoCoooooCoooDoCoooDoooooDEoooAAEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,A>2\n"]}} {"board": "ooooBoCCCoBooDooBoEDoAAFEDooGFEoooGF", "size": 6, "moves": 2, "solution": ["F^3", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoCCCoBooDooBoEDoAAFEDooGFEoooGF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^3,A>1\n"]}} {"board": "oooBBBooAAoCooDDDCooEFFoooEoooooEoGG", "size": 6, "moves": 2, "solution": ["Cv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBooAAoCooDDDCooEFFoooEoooooEoGG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>2\n"]}} {"board": "oooooBoooCoBoooCooAAoCoooooDDDoooooo", "size": 6, "moves": 2, "solution": ["C^1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoooCoBoooCooAAoCoooooDDDoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>4\n"]}} {"board": "oooooooAABooCCoBoooDDBEoFFFoEoooGGGo", "size": 6, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooAABooCCoBoooDDBEoFFFoEoooGGGo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "AABoooCCBoooooBooooooooDEooFGDEooFGo", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AABoooCCBoooooBooooooooDEooFGDEooFGo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "ooAAoBoCoooBDCoEEBDooFGoDHHFGooooFGo", "size": 6, "moves": 2, "solution": ["Bv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAAoBoCoooBDCoEEBDooFGoDHHFGooooFGo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "ooooooBoooooBoooCoBoooCoooooCDAAoooD", "size": 6, "moves": 2, "solution": ["D^1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooBoooooBoooCoBoooCoooooCDAAoooD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>4\n"]}} {"board": "oooooooooBBBoooCoooooCooooAAoDoooooD", "size": 6, "moves": 2, "solution": ["D^2", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBBBoooCoooooCooooAAoDoooooD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,A>2\n"]}} {"board": "oooBoooCoBoooCoBooDCoooEDooooEAAoooE", "size": 6, "moves": 2, "solution": ["E^1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoooCoBoooCoBooDCoooEDooooEAAoooE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,A>4\n"]}} {"board": "oooooooooooooooBoCoooBoCooAAoCoooooo", "size": 6, "moves": 2, "solution": ["C^1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooooooBoCoooBoCooAAoCoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>2\n"]}} {"board": "ooBBBCoooooCoooAACDDDooooEoFGooEoFGo", "size": 6, "moves": 2, "solution": ["Cv3", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBCoooooCoooAACDDDooooEoFGooEoFGo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv3,A>1\n"]}} {"board": "ooBoooooBoooooBoooAAooCoooDDCooooooo", "size": 6, "moves": 2, "solution": ["C^2", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoooooBoooooBoooAAooCoooDDCooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>4\n"]}} {"board": "oBoooooBoooCoooAACDoooECDoooEoDoooEo", "size": 6, "moves": 2, "solution": ["Cv2", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoooooBoooCoooAACDoooECDoooEoDoooEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,A>1\n"]}} {"board": "oooooBoooooBooooooooooooCooDooCAADoo", "size": 6, "moves": 2, "solution": ["D^1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoooooBooooooooooooCooDooCAADoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>3\n"]}} {"board": "oooBCDEooBCDEFFFoooGoooHoGIIIHoooAAH", "size": 6, "moves": 2, "solution": ["H^1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBCDEooBCDEFFFoooGoooHoGIIIHoooAAH\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nH^1,A>1\n"]}} {"board": "oooBBBAAooCoooooCoDDDoCoooooooEEooFF", "size": 6, "moves": 2, "solution": ["Cv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBAAooCoooooCoDDDoCoooooooEEooFF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>4\n"]}} {"board": "AAoooBCooDoBCEEDoBCoFoGoooFoGHooooGH", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoooBCooDoBCEEDoBCoFoGoooFoGHooooGH\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oooooooooAABooooCBooooCoDDoooooooooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooAABooooCBooooCoDDoooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>1\n"]}} {"board": "oAAooBoooCCBooooooooooooooooDoooooDo", "size": 6, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAooBoooCCBooooooooooooooooDoooooDo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "oooBBBooooCoooooCoooDoCEooDAAEoooooE", "size": 6, "moves": 2, "solution": ["E^2", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBooooCoooooCoooDoCEooDAAEoooooE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^2,A>1\n"]}} {"board": "AAoooBoooooBoooCCBoDoEEooDoooooDoooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoooBoooooBoooCCBoDoEEooDoooooDoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "ooBoooooBoooAABooooooooCoooDoCoooDoC", "size": 6, "moves": 2, "solution": ["Bv3", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoooooBoooAABooooooooCoooDoCoooDoC\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv3,A>4\n"]}} {"board": "oBCCCDoBEEEDAAooFooGGHFIoooHFIJJJHoI", "size": 6, "moves": 2, "solution": ["Fv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBCCCDoBEEEDAAooFooGGHFIoooHFIJJJHoI\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nFv1,A>4\n"]}} {"board": "ooooooooooooAAoBoooooBCCoooBoooooooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooooAAoBoooooBCCoooBoooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "AAoooBCCCoDBooooDBoEEoDooooooooFFooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoooBCCCoDBooooDBoEEoDooooooooFFooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oAAooBCooooBCooooBCoooDoooooDoEEooDo", "size": 6, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAooBCooooBCooooBCoooDoooooDoEEooDo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "oAAoBooCDDBooCoooooEEooFoooooFoooooF", "size": 6, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAoBooCDDBooCoooooEEooFoooooFoooooF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "ooBooCooBooCooBAACoooooooooooooooooo", "size": 6, "moves": 2, "solution": ["Cv3", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBooCooBooCooBAACoooooooooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv3,A>1\n"]}} {"board": "oooBoooooBoooooBCDoEooCDoEAAoDoooFFF", "size": 6, "moves": 2, "solution": ["D^1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoooooBoooooBCDoEooCDoEAAoDoooFFF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>2\n"]}} {"board": "oooooooooooBoooooBoooAABoooCCCoDDDoo", "size": 6, "moves": 2, "solution": ["B^1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooBoooooBoooAABoooCCCoDDDoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,A>1\n"]}} {"board": "ooBAACooBooCoDDooooooooEoFoooEoFoooE", "size": 6, "moves": 2, "solution": ["Cv1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBAACooBooCoDDooooooooEoFoooEoFoooE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>1\n"]}} {"board": "BBBoCooAAoCoooDDCEoooooEFFFoooooooGG", "size": 6, "moves": 2, "solution": ["Cv2", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBoCooAAoCoooDDCEoooooEFFFoooooooGG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,A>3\n"]}} {"board": "oooBoooAABoooCoBoooCDoEoooDoEoooDooo", "size": 6, "moves": 2, "solution": ["Bv2", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoooAABoooCoBoooCDoEoooDoEoooDooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>3\n"]}} {"board": "oooooBoooooBoooCooAAoCoooDDCoooooooo", "size": 6, "moves": 2, "solution": ["C^2", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoooooBoooCooAAoCoooDDCoooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>4\n"]}} {"board": "oooooooooooBoooAABooooooooooooCCoooo", "size": 6, "moves": 2, "solution": ["B^1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooBoooAABooooooooooooCCoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,A>1\n"]}} {"board": "BBBooooooooCDooooCDEAAoCoEFFFooEooGG", "size": 6, "moves": 2, "solution": ["C^1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBooooooooCDooooCDEAAoCoEFFFooEooGG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>2\n"]}} {"board": "oooBoooooBoooCoBoooCoooooCAADoooooDo", "size": 6, "moves": 2, "solution": ["D^2", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoooooBoooCoBoooCoooooCAADoooooDo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,A>2\n"]}} {"board": "ooAAoBoCoooBoCoDDoEooFFFEooGHHEooGoo", "size": 6, "moves": 2, "solution": ["Bv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAAoBoCoooBoCoDDoEooFFFEooGHHEooGoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "oooBoooooBooCooBooCDoooECDAAoEoDoFFF", "size": 6, "moves": 2, "solution": ["E^1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoooooBooCooBooCDoooECDAAoEoDoFFF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,A>2\n"]}} {"board": "ooooBoooooBCooooBCooAAoCoooDoooooDoo", "size": 6, "moves": 2, "solution": ["C^1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoooooBCooooBCooAAoCoooDoooooDoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>2\n"]}} {"board": "BCDDDoBCEooFBoEAAFoGHHHooGIJJJoGIooo", "size": 6, "moves": 2, "solution": ["F^1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BCDDDoBCEooFBoEAAFoGHHHooGIJJJoGIooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,A>1\n"]}} {"board": "ooooBoooooBoooooBoooooooooooCoooAACo", "size": 6, "moves": 2, "solution": ["C^1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoooooBoooooBoooooooooooCoooAACo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>2\n"]}} {"board": "BBBCCCAAoooDoooooDoooooooooEEEoooooo", "size": 6, "moves": 2, "solution": ["Dv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBCCCAAoooDoooooDoooooooooEEEoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,A>4\n"]}} {"board": "oooooooBoooooBoCoooooCoooAACooooDDDo", "size": 6, "moves": 2, "solution": ["C^1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooBoooooBoCoooooCoooAACooooDDDo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>3\n"]}} {"board": "oooooooooBoooooBoooooooCoDDDoCAAoooC", "size": 6, "moves": 2, "solution": ["C^1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBoooooBoooooooCoDDDoCAAoooC\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>4\n"]}} {"board": "BBBoooooooooooAACoDoEECoDoooCoDooooo", "size": 6, "moves": 2, "solution": ["Cv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBoooooooooooAACoDoEECoDoooCoDooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>2\n"]}} {"board": "ooBoCoooBoCoooBDoooEoDoFoEoooFoEAAoF", "size": 6, "moves": 2, "solution": ["F^1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoCoooBoCoooBDoooEoDoFoEoooFoEAAoF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,A>2\n"]}} {"board": "oBoooCoBoooCoBoDoooEoDFoGEoDFoGEAAFo", "size": 6, "moves": 2, "solution": ["F^1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoooCoBoooCoBoDoooEoDFoGEoDFoGEAAFo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,A>2\n"]}} {"board": "BoCoooBoCAADBEEooDoFGGGDoFoooooFooHH", "size": 6, "moves": 2, "solution": ["Dv1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoCoooBoCAADBEEooDoFGGGDoFoooooFooHH\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,A>1\n"]}} {"board": "ooooooooAABoCDDoBoCoEFooCoEFoGoooFoG", "size": 6, "moves": 2, "solution": ["Bv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooAABoCDDoBoCoEFooCoEFoGoooFoG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "oAAooBoooCoBoooCoooDoEEEFDoGooFDoGoo", "size": 6, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAooBoooCoBoooCoooDoEEEFDoGooFDoGoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "BBBooooCoooooCoooooCooooDAAoEoDoooEo", "size": 6, "moves": 2, "solution": ["E^2", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBooooCoooooCoooooCooooDAAoEoDoooEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^2,A>3\n"]}} {"board": "ooAAoBCCDDDBoooooooEEEFFGooHHHGIIIoo", "size": 6, "moves": 2, "solution": ["Bv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAAoBCCDDDBoooooooEEEFFGooHHHGIIIoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "oooBoooooBoooooCoooooCoDoooAADoooooD", "size": 6, "moves": 2, "solution": ["D^2", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoooooBoooooCoooooCoDoooAADoooooD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,A>1\n"]}} {"board": "ooooooooBoooAABoooooBCCooooDDDoooooo", "size": 6, "moves": 2, "solution": ["Bv2", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooBoooAABoooooBCCooooDDDoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>4\n"]}} {"board": "oBoooooBoooCoooAACoDooEFGDooEFGDooEo", "size": 6, "moves": 2, "solution": ["C^1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoooooBoooCoooAACoDooEFGDooEFGDooEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>1\n"]}} {"board": "AABoooooBoooooBCCCooooooDDoooooooooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AABoooooBoooooBCCCooooooDDoooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "AAoooBooCCCBoooooooooDDoooooEEoooFFF", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoooBooCCCBoooooooooDDoooooEEoooFFF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "BBBoooAAoCooDDDCEoFGoCEHFGooEHFIIooo", "size": 6, "moves": 2, "solution": ["Cv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBoooAAoCooDDDCEoFGoCEHFGooEHFIIooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>4\n"]}} {"board": "oBoooooBoooooBooCoooooCoDoAACoDooooo", "size": 6, "moves": 2, "solution": ["C^1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoooooBoooooBooCoooooCoDoAACoDooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>2\n"]}} {"board": "BBBoCoooooCoooAACooooooooooooooooooo", "size": 6, "moves": 2, "solution": ["Cv3", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBoCoooooCoooAACooooooooooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv3,A>2\n"]}} {"board": "AAoBoooCoBDooCooDooCEEoooooooooooooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoBoooCoBDooCooDooCEEoooooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "ooooooooooooooooooBooooCBooAACoooooo", "size": 6, "moves": 2, "solution": ["C^1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooooooooooBooooCBooAACoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>1\n"]}} {"board": "oAAoBoooooBooooooooooooooooCCCoooDDD", "size": 6, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAoBoooooBooooooooooooooooCCCoooDDD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "oooAABCCoDDBooooooooEEooFFGGoooooooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooAABCCoDDBooooooooEEooFFGGoooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>1\n"]}} {"board": "ooooooooooBoCoooBoCooooDCAAooDoooooo", "size": 6, "moves": 2, "solution": ["D^1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooBoCoooBoCooooDCAAooDoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>3\n"]}} {"board": "oooBoooooBCoDoooCoDAAoCoDooEEEFFoooo", "size": 6, "moves": 2, "solution": ["C^1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoooooBCoDoooCoDAAoCoDooEEEFFoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>3\n"]}} {"board": "oBoooooBoooooooooooooooooCCCoDooAAoD", "size": 6, "moves": 2, "solution": ["D^1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoooooBoooooooooooooooooCCCoDooAAoD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>2\n"]}} {"board": "ooooBoooooBoooooBoCooAADCooEoDoooEoD", "size": 6, "moves": 2, "solution": ["D^3", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoooooBoooooBoCooAADCooEoDoooEoD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^3,A>1\n"]}} {"board": "oAAoBoCoooBDCEFFoDCEoGGGHIIIooHJJJKK", "size": 6, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAoBoCoooBDCEFFoDCEoGGGHIIIooHJJJKK\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "ooooooAAoooBooCCCBoooDDoEoFFooEooGGG", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooAAoooBooCCCBoooDDoEoFFooEooGGG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "ooooooooooBoooooBoooAABooooooooooCCo", "size": 6, "moves": 2, "solution": ["B^1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooBoooooBoooAABooooooooooCCo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,A>2\n"]}} {"board": "ooooooooooooooooooooBoooAABoooooCCoo", "size": 6, "moves": 2, "solution": ["B^1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooooooooooooBoooAABoooooCCoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,A>4\n"]}} {"board": "ooBBBoooAACoooooCoooooCooooDoooooDoo", "size": 6, "moves": 2, "solution": ["Cv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBoooAACoooooCoooooCooooDoooooDoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>2\n"]}} {"board": "ooAABoooooBooooooooCoooooCooDDoCoooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAABoooooBooooooooCoooooCooDDoCoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "ooBoooooBooooooooCooDDDCoooAACoooooo", "size": 6, "moves": 2, "solution": ["C^1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoooooBooooooooCooDDDCoooAACoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>1\n"]}} {"board": "ooooooooooooooBoooAABoooooBooCoooooC", "size": 6, "moves": 2, "solution": ["B^2", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooooooBoooAABoooooBooCoooooC\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^2,A>4\n"]}} {"board": "oAAooBoooooBCDDDoBCooooooooooooooooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAooBoooooBCDDDoBCooooooooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "ooooooAABoooooBooCDDBooCoooooCoooEEo", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooAABoooooBooCDDBooCoooooCoooEEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oooBooAAoBooCoDBooCoDoEEFFDooooooooo", "size": 6, "moves": 2, "solution": ["Bv2", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBooAAoBooCoDBooCoDoEEFFDooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>4\n"]}} {"board": "oooooBCDEEEBCDooooCooAAFoGoHHFoGoIIo", "size": 6, "moves": 2, "solution": ["Fv1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBCDEEEBCDooooCooAAFoGoHHFoGoIIo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nFv1,A>1\n"]}} {"board": "ooBBBoooooooooooooooooCoooooCoAAooCo", "size": 6, "moves": 2, "solution": ["C^1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBoooooooooooooooooCoooooCoAAooCo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>4\n"]}} {"board": "ooAAoBoCCCoBoDDooBoooooooooooooooooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAAoBoCCCoBoDDooBoooooooooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "ooBCCCooBDDDooBAAEFGGGoEFHHIJEFooIJo", "size": 6, "moves": 2, "solution": ["Ev1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBCCCooBDDDooBAAEFGGGoEFHHIJEFooIJo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,A>1\n"]}} {"board": "oooBoooooBooCDooEoCDAAEooFFFoooooooo", "size": 6, "moves": 2, "solution": ["E^1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoooooBooCDooEoCDAAEooFFFoooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,A>2\n"]}} {"board": "BoooooBoAAoCBooooCoDoooooDoEoooDoEoo", "size": 6, "moves": 2, "solution": ["Cv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoooooBoAAoCBooooCoDoooooDoEoooDoEoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>2\n"]}} {"board": "ooooooBoooooBooooooooCoooAACoooooCDD", "size": 6, "moves": 2, "solution": ["C^2", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooBoooooBooooooooCoooAACoooooCDD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>3\n"]}} {"board": "oooooooooooooBoooooBAAoCoooooCoooooo", "size": 6, "moves": 2, "solution": ["C^2", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooooBoooooBAAoCoooooCoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>2\n"]}} {"board": "oooooBooCooBooCDDDooooooEooooFEAAooF", "size": 6, "moves": 2, "solution": ["F^1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBooCooBooCDDDooooooEooooFEAAooF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,A>3\n"]}} {"board": "oooBoooooBoCoooBoCoAAooCDoooooDooooo", "size": 6, "moves": 2, "solution": ["C^1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoooooBoCoooBoCoAAooCDoooooDooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>3\n"]}} {"board": "ooooooooooooBBBoooooAACoooooCoDDDooo", "size": 6, "moves": 2, "solution": ["C^2", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooooBBBoooooAACoooooCoDDDooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>2\n"]}} {"board": "oooooooooooooooBoooAABoooooCCCooDDoo", "size": 6, "moves": 2, "solution": ["B^1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooooooBoooAABoooooCCCooDDoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,A>3\n"]}} {"board": "oooBBBooooooCDDDoECoooFEoAAoFoooooFo", "size": 6, "moves": 2, "solution": ["F^2", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBooooooCDDDoECoooFEoAAoFoooooFo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^2,A>3\n"]}} {"board": "oooooooooooooBBBooCooAADCEoooDCEoooD", "size": 6, "moves": 2, "solution": ["D^3", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooooBBBooCooAADCEoooDCEoooD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^3,A>1\n"]}} {"board": "ooooooooooBoooAABoCCDDBooooEoooooEoo", "size": 6, "moves": 2, "solution": ["Bv2", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooBoooAABoCCDDBooooEoooooEoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>2\n"]}} {"board": "BBBooooooooooAACoooooCDDEoooooEooFFo", "size": 6, "moves": 2, "solution": ["C^2", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBooooooooooAACoooooCDDEoooooEooFFo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>3\n"]}} {"board": "AAoooBoooCCBDDDooBEooFGoEooFGoEHHHGo", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoooBoooCCBDDDooBEooFGoEooFGoEHHHGo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "ooooBoooooBoooCoBoAACoooooCDDDoooooo", "size": 6, "moves": 2, "solution": ["C^2", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoooooBoooCoBoAACoooooCDDDoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>4\n"]}} {"board": "oooBBBoooCoooooCooDDDCooEEEoFoooAAFo", "size": 6, "moves": 2, "solution": ["F^1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBoooCoooooCooDDDCooEEEoFoooAAFo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,A>2\n"]}} {"board": "oooBoooAABooCoooooCDooEoCDFoEGoDFoEG", "size": 6, "moves": 2, "solution": ["Bv2", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoooAABooCoooooCDooEoCDFoEGoDFoEG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>3\n"]}} {"board": "oAAoBooCCCBoooooBoooooooooooDDoooooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAoBooCCCBoooooBoooooooooooDDoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "BoooooBooooooAAooCoooooCoooooCooDDoo", "size": 6, "moves": 2, "solution": ["Cv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoooooBooooooAAooCoooooCoooooCooDDoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>3\n"]}} {"board": "oooooooooooBoooAABoooCoooooCoooooCDD", "size": 6, "moves": 2, "solution": ["B^1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooBoooAABoooCoooooCoooooCDD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,A>1\n"]}} {"board": "oBBBoooAACooDDoCEoFFooEoooGHIIJJGHoo", "size": 6, "moves": 2, "solution": ["Cv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBoooAACooDDoCEoFFooEoooGHIIJJGHoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>3\n"]}} {"board": "BBBooCoooooCoooooDooAAoDooooooEEEooo", "size": 6, "moves": 2, "solution": ["Dv2", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBooCoooooCoooooDooAAoDooooooEEEooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv2,A>2\n"]}} {"board": "oBoooooBooCoooooCooooDCooooDoooAADoo", "size": 6, "moves": 2, "solution": ["D^1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoooooBooCoooooCooooDCooooDoooAADoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>3\n"]}} {"board": "oBBBooooooooooCDDDAACooooEEEoooooFFF", "size": 6, "moves": 2, "solution": ["C^1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBooooooooooCDDDAACooooEEEoooooFFF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>4\n"]}} {"board": "oooooooooBooCooBoDCooBoDCAAooDoooooo", "size": 6, "moves": 2, "solution": ["D^1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBooCooBoDCooBoDCAAooDoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>3\n"]}} {"board": "oooBBBoCCCooDoooooDEAAFooEooFoooooGG", "size": 6, "moves": 2, "solution": ["F^2", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBoCCCooDoooooDEAAFooEooFoooooGG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^2,A>2\n"]}} {"board": "ooooooooooooBoooooBooAACDDEooCooEooo", "size": 6, "moves": 2, "solution": ["C^2", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooooBoooooBooAACDDEooCooEooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>1\n"]}} {"board": "ooAABoooooBooooCoooooCooDDoCoooooooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAABoooooBooooCoooooCooDDoCoooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "AAooBoooooBooCCoBoDoooooDooooooooooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAooBoooooBooCCoBoDoooooDooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "ooooooAAoBoooooBooooooCCoooooooooDDo", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooAAoBoooooBooooooCCoooooooooDDo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "ooooooooooooBBBoCoAAooCooDooCooDoooo", "size": 6, "moves": 2, "solution": ["C^2", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooooBBBoCoAAooCooDooCooDoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>4\n"]}} {"board": "ooBooCDoBooCDooEEEDoAAFoGGooFHoIIIoH", "size": 6, "moves": 2, "solution": ["Fv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBooCDoBooCDooEEEDoAAFoGGooFHoIIIoH\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nFv1,A>2\n"]}} {"board": "AAooBooCCCBooDEooFoDEGGFoDoHIIJJJHoo", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAooBooCCCBooDEooFoDEGGFoDoHIIJJJHoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oooooBoAAooBoooooBCCooooooooDoooooDo", "size": 6, "moves": 2, "solution": ["Bv2", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoAAooBoooooBCCooooooooDoooooDo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>3\n"]}} {"board": "AAooBooooCBDooECoDFFEooDooEooooGGooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAooBooooCBDooECoDFFEooDooEooooGGooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "ooBoCoooBoCoooooCoooAAoDoooooDoooooD", "size": 6, "moves": 2, "solution": ["D^3", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoCoooBoCoooooCoooAAoDoooooDoooooD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^3,A>2\n"]}} {"board": "ooooooBoooooBoooooooooCooAAoCoooooCo", "size": 6, "moves": 2, "solution": ["C^2", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooBoooooBoooooooooCooAAoCoooooCo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>3\n"]}} {"board": "ooooBoooooBoooooBCoooooCAAoooCoDDEEE", "size": 6, "moves": 2, "solution": ["C^1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoooooBoooooBCoooooCAAoooCoDDEEE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>4\n"]}} {"board": "ooBoooAABooooooooooooooooCoooooCoDDD", "size": 6, "moves": 2, "solution": ["Bv2", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoooAABooooooooooooooooCoooooCoDDD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>4\n"]}} {"board": "oooooBCCCooBoooAABDoooooDoooEoDoooEo", "size": 6, "moves": 2, "solution": ["Bv3", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBCCCooBoooAABDoooooDoooEoDoooEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv3,A>1\n"]}} {"board": "oBoCoooBoCooAAoCoooooooooooooooooooo", "size": 6, "moves": 2, "solution": ["Cv3", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoCoooBoCooAAoCoooooooooooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv3,A>4\n"]}} {"board": "BCooooBCDEEEBCDoooFooooGFoAAoGFoooHH", "size": 6, "moves": 2, "solution": ["G^1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BCooooBCDEEEBCDoooFooooGFoAAoGFoooHH\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nG^1,A>2\n"]}} {"board": "BoCCCoBoAADoEEEoDFGGooDFooHHoFIIoJJJ", "size": 6, "moves": 2, "solution": ["Dv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoCCCoBoAADoEEEoDFGGooDFooHHoFIIoJJJ\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,A>2\n"]}} {"board": "ooooooBBBoooooCCCooooooooooAADoooooD", "size": 6, "moves": 2, "solution": ["D^2", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooBBBoooooCCCooooooooooAADoooooD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,A>1\n"]}} {"board": "oBoooooBoCCCoBooooDAAEooDooEoFDooooF", "size": 6, "moves": 2, "solution": ["Ev1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoooooBoCCCoBooooDAAEooDooEoFDooooF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,A>3\n"]}} {"board": "oooooooooooBoooAABoooCDBEooCDoEooooo", "size": 6, "moves": 2, "solution": ["Bv2", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooBoooAABoooCDBEooCDoEooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>1\n"]}} {"board": "oAAoBoooooBooooooooooCCooooooooooooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAoBoooooBooooooooooCCooooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "oBoCCCDBoEEEDoFAAGDoFHIGoJJHIooooKKK", "size": 6, "moves": 2, "solution": ["Gv1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoCCCDBoEEEDoFAAGDoFHIGoJJHIooooKKK\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nGv1,A>1\n"]}} {"board": "ooooBoooooBoooooBoooAACoooDDCooooooo", "size": 6, "moves": 2, "solution": ["Cv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoooooBoooooBoooAACoooDDCooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>2\n"]}} {"board": "oooAABoooooBoooooBoCCCooooDDooEEEooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooAABoooooBoooooBoCCCooooDDooEEEooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>1\n"]}} {"board": "oooBoooAABooCooBDDCoooEFooGoEFooGoEF", "size": 6, "moves": 2, "solution": ["Bv2", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoooAABooCooBDDCoooEFooGoEFooGoEF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>3\n"]}} {"board": "ooooooooooooAAooBooCooBooCooBooooooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooooAAooBooCooBooCooBooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "ooooooooAAoBoooooBoooooBCoooooCooDDD", "size": 6, "moves": 2, "solution": ["Bv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooAAoBoooooBoooooBCoooooCooDDD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "oooooooAAoBoooooBoooCCBooooooooooDDD", "size": 6, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooAAoBoooooBoooCCBooooooooooDDD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "BoAACoBDDDCoBEoFooGEoFoHGEIFoHooIJJH", "size": 6, "moves": 2, "solution": ["Cv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoAACoBDDDCoBEoFooGEoFoHGEIFoHooIJJH\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>2\n"]}} {"board": "AAoBooCCoBoooDDoEEFFooGooHHoGooooooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoBooCCoBoooDDoEEFFooGooHHoGooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "ooooooAAoooBoCDooBoCDoEooCDoEoooooEo", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooAAoooBoCDooBoCDoEooCDoEoooooEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "BoooooBoooooBoCoooooCooDAAoooDoooooD", "size": 6, "moves": 2, "solution": ["D^2", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoooooBoooooBoCoooooCooDAAoooDoooooD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,A>4\n"]}} {"board": "ooooBoooooBoAAoCoooooCoooDDDoooooooo", "size": 6, "moves": 2, "solution": ["C^2", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoooooBoAAoCoooooCoooDDDoooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>4\n"]}} {"board": "BCCCooBDDDoooAAooEFoGHoEFIGHJEFIGoJo", "size": 6, "moves": 2, "solution": ["Ev1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BCCCooBDDDoooAAooEFoGHoEFIGHJEFIGoJo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,A>3\n"]}} {"board": "oBoCCCoBDDDoAAooEoFoGHEoFoGHEooIIHoo", "size": 6, "moves": 2, "solution": ["Ev1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoCCCoBDDDoAAooEoFoGHEoFoGHEooIIHoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,A>4\n"]}} {"board": "oBCDoooBCDoEooCooEAAoooEoFooGooFooGo", "size": 6, "moves": 2, "solution": ["E^1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBCDoooBCDoEooCooEAAoooEoFooGooFooGo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,A>4\n"]}} {"board": "oooooooooooooBCooDEBCooDEBoAADEooFFF", "size": 6, "moves": 2, "solution": ["D^1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooooBCooDEBCooDEBoAADEooFFF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>1\n"]}} {"board": "oAAooBCCoooBoooooBoooDDooooooooooooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAooBCCoooBoooooBoooDDooooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "oooAABoooooBoooooBoCDoooECDFooECDFoo", "size": 6, "moves": 2, "solution": ["Bv1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooAABoooooBoooooBoCDoooECDFooECDFoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>1\n"]}} {"board": "BAAoCoBoooCoooooCDEEEooDoooooDoFFooo", "size": 6, "moves": 2, "solution": ["Cv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BAAoCoBoooCoooooCDEEEooDoooooDoFFooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>3\n"]}} {"board": "ooooooooAABooCCoBoDDEFooGoEFooGoEooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooAABooCCoBoDDEFooGoEFooGoEooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "AAoBooCDoBooCDooEEoDFooGooFooGHHHooG", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoBooCDoBooCDooEEoDFooGooFooGHHHooG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oooAABoCCooBoooooBooooooooDEEEooDoFF", "size": 6, "moves": 2, "solution": ["Bv1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooAABoCCooBoooooBooooooooDEEEooDoFF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>1\n"]}} {"board": "oBoooooBooooooooooCAAooDCooooDoooEEE", "size": 6, "moves": 2, "solution": ["D^2", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoooooBooooooooooCAAooDCooooDoooEEE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,A>3\n"]}} {"board": "ooooooAABoooooBoooooBCooDDoCEoooooEo", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooAABoooooBoooooBCooDDoCEoooooEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "BoCoooBoCoooBoCoooooooooAAoooDoooooD", "size": 6, "moves": 2, "solution": ["D^2", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoCoooBoCoooBoCoooooooooAAoooDoooooD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,A>4\n"]}} {"board": "BoooooBoAACoBoooCoooooCoDooEooDooEoo", "size": 6, "moves": 2, "solution": ["Cv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoooooBoAACoBoooCoooooCoDooEooDooEoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>2\n"]}} {"board": "ooooooooBCCCooBoooDoBoooDooooEDAAooE", "size": 6, "moves": 2, "solution": ["E^1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooBCCCooBoooDoBoooDooooEDAAooE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,A>3\n"]}} {"board": "oAAoBoooooBooooooooCCooooooooooooDDD", "size": 6, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAoBoooooBooooooooCCooooooooooooDDD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "oAAooBCooooBCDDDoBCoooooooEEoooFFFGG", "size": 6, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAooBCooooBCDDDoBCoooooooEEoooFFFGG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "AAoooBooCCoBDDoooBoEFFFooEooooooooGG", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoooBooCCoBDDoooBoEFFFooEooooooooGG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "ooooooooooooooAAoBoooooBoooCoooooCoo", "size": 6, "moves": 2, "solution": ["B^2", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooooooAAoBoooooBoooCoooooCoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^2,A>2\n"]}} {"board": "BBBCooAAoCoooooCooooooDoEEEoDooFFoDo", "size": 6, "moves": 2, "solution": ["Cv2", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBCooAAoCoooooCooooooDoEEEoDooFFoDo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,A>4\n"]}} {"board": "ooooooAAooBoooCoBoooCoooooDDDEooFFoE", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooAAooBoooCoBoooCoooooDDDEooFFoE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oooooooooAABoooCoBoooCoooooooooooooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooAABoooCoBoooCoooooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>1\n"]}} {"board": "oooBBBoooCooDDDCoooooCoEooAAoEoFFoGG", "size": 6, "moves": 2, "solution": ["E^1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBoooCooDDDCoooooCoEooAAoEoFFoGG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,A>2\n"]}} {"board": "oooBCooooBCooooBooAAoooDoooooDoEEooD", "size": 6, "moves": 2, "solution": ["D^3", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBCooooBCooooBooAAoooDoooooDoEEooD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^3,A>4\n"]}} {"board": "oooBBBAACoooooCoDooEooDooEooDooooooo", "size": 6, "moves": 2, "solution": ["Cv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBAACoooooCoDooEooDooEooDooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>4\n"]}} {"board": "oooooooooooBCoAAoBCooooBCDoooooDoooo", "size": 6, "moves": 2, "solution": ["Bv2", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooBCoAAoBCooooBCDoooooDoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>2\n"]}} {"board": "oBBBoooCoooooCooDooCoEDooAAEoooooEFF", "size": 6, "moves": 2, "solution": ["E^2", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBoooCoooooCooDooCoEDooAAEoooooEFF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^2,A>3\n"]}} {"board": "oBooCooBooCDooAAoDEFooooEFGoooEFGooo", "size": 6, "moves": 2, "solution": ["D^1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBooCooBooCDooAAoDEFooooEFGoooEFGooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>2\n"]}} {"board": "ooAABoooCoBoooCoooooDDDooooooooooooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAABoooCoBoooCoooooDDDooooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "AAooBoooooBooooooooCDooooCDooooCDoEE", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAooBoooooBooooooooCDooooCDooooCDoEE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oooooooooBoooooBooAAoBooooooooooCCoo", "size": 6, "moves": 2, "solution": ["B^1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBoooooBooAAoBooooooooooCCoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,A>4\n"]}} {"board": "ooooBoooAABooCCoBDoooooDoEEooDoooooo", "size": 6, "moves": 2, "solution": ["Bv2", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoooAABooCCoBDoooooDoEEooDoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>2\n"]}} {"board": "oBoooooBoooooooAACoDEFoCoDEFoCoDEooo", "size": 6, "moves": 2, "solution": ["Cv1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoooooBoooooooAACoDEFoCoDEFoCoDEooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>1\n"]}} {"board": "BBBCCCoooooooAADoooooDoooooooEoooooE", "size": 6, "moves": 2, "solution": ["Dv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBCCCoooooooAADoooooDoooooooEoooooE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,A>3\n"]}} {"board": "oooooooBCooooBCooooBCooDooAAoDoooooD", "size": 6, "moves": 2, "solution": ["D^2", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooBCooooBCooooBCooDooAAoDoooooD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,A>2\n"]}} {"board": "oooooooooooooooBoooooBoCoooBoCoAAooC", "size": 6, "moves": 2, "solution": ["C^1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooooooBoooooBoCoooBoCoAAooC\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>3\n"]}} {"board": "oooBoooooBoooooBooooooCooAAoCooooooo", "size": 6, "moves": 2, "solution": ["C^1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoooooBoooooBooooooCooAAoCooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>3\n"]}} {"board": "oBoCCCoBoooooDDDooEFooGoEFAAGoEFooGo", "size": 6, "moves": 2, "solution": ["G^2", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoCCCoBoooooDDDooEFooGoEFAAGoEFooGo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nG^2,A>2\n"]}} {"board": "ooooBoooAABooooooooooooooooCCooooooo", "size": 6, "moves": 2, "solution": ["Bv2", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoooAABooooooooooooooooCCooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>2\n"]}} {"board": "oBBBoCooDEoCooDEoooFFFoGooHHHGAAoooG", "size": 6, "moves": 2, "solution": ["G^1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBoCooDEoCooDEoooFFFoGooHHHGAAoooG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nG^1,A>4\n"]}} {"board": "ooBoooooBCCCoooooooooooDoooooDooAAoD", "size": 6, "moves": 2, "solution": ["D^1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoooooBCCCoooooooooooDoooooDooAAoD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>2\n"]}} {"board": "oAAoBooCCCBDEoooBDEoooooEFoGoooFoGoo", "size": 6, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAoBooCCCBDEoooBDEoooooEFoGoooFoGoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "ooooooooooooooooooAABoooCCBDDDoooooo", "size": 6, "moves": 2, "solution": ["B^2", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooooooooooAABoooCCBDDDoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^2,A>4\n"]}} {"board": "ooBCCCooBoooAAooDooooEDFoooEDFoooEoF", "size": 6, "moves": 2, "solution": ["Dv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBCCCooBoooAAooDooooEDFoooEDFoooEoF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,A>4\n"]}} {"board": "oooBBBooooCooAAoCooooooooDDDooooooEE", "size": 6, "moves": 2, "solution": ["Cv2", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBooooCooAAoCooooooooDDDooooooEE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,A>3\n"]}} {"board": "ooooBoooooBooooooCoooooCoooAACDDoooo", "size": 6, "moves": 2, "solution": ["C^1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoooooBooooooCoooooCoooAACDDoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>1\n"]}} {"board": "ooBBBoCCCooDAAoooDEFGHooEFGHIIoFGHoo", "size": 6, "moves": 2, "solution": ["D^1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBoCCCooDAAoooDEFGHooEFGHIIoFGHoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>4\n"]}} {"board": "oBBBoCooAAoCooDDoooooEoooooEoooFFFoo", "size": 6, "moves": 2, "solution": ["Cv2", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBoCooAAoCooDDoooooEoooooEoooFFFoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,A>2\n"]}} {"board": "oBoCoDoBoCoDoooCoooEoooFoEGGGFoEAAoF", "size": 6, "moves": 2, "solution": ["F^1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoCoDoBoCoDoooCoooEoooFoEGGGFoEAAoF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,A>2\n"]}} {"board": "oooooooooBoooooBooAAoBooooooooCCCooo", "size": 6, "moves": 2, "solution": ["B^1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBoooooBooAAoBooooooooCCCooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,A>4\n"]}} {"board": "oAABoooooBooCooBooCooooooooDDDoooEEE", "size": 6, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAABoooooBooCooBooCooooooooDDDoooEEE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "oooBooCCCBoooooooDoAAooDoooooooooooo", "size": 6, "moves": 2, "solution": ["D^1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBooCCCBoooooooDoAAooDoooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>3\n"]}} {"board": "oooooooBBBCoooooCoDDDoCoEEEFoooAAFoo", "size": 6, "moves": 2, "solution": ["F^1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooBBBCoooooCoDDDoCoEEEFoooAAFoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,A>3\n"]}} {"board": "ooAABoooooBooooooooCoDoooCoDoooCoDoo", "size": 6, "moves": 2, "solution": ["Bv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAABoooooBooooooooCoDoooCoDoooCoDoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "ooBCCCAABooooooooooooooooDDDoooooooo", "size": 6, "moves": 2, "solution": ["Bv2", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBCCCAABooooooooooooooooDDDoooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>4\n"]}} {"board": "BooooCBooooCoooooCooAADoooooDoEEEoDo", "size": 6, "moves": 2, "solution": ["D^3", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BooooCBooooCoooooCooAADoooooDoEEEoDo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^3,A>2\n"]}} {"board": "oooooBoooAABCCCoDBooooDoooooDooooooo", "size": 6, "moves": 2, "solution": ["Bv2", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoooAABCCCoDBooooDoooooDooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>1\n"]}} {"board": "ooooBooooCBooooCoooooCooooooDoAAooDo", "size": 6, "moves": 2, "solution": ["D^1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBooooCBooooCoooooCooooooDoAAooDo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>4\n"]}} {"board": "oooooooBoooCoBoAACoooooooooDEEoooDoo", "size": 6, "moves": 2, "solution": ["C^1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooBoooCoBoAACoooooooooDEEoooDoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>1\n"]}} {"board": "BBBCCCDoooEoDoAAEoDoFFEGooHooGIIHooG", "size": 6, "moves": 2, "solution": ["Ev2", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBCCCDoooEoDoAAEoDoFFEGooHooGIIHooG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv2,A>2\n"]}} {"board": "ooooooooooooooAABoooooBoooCoooooCooo", "size": 6, "moves": 2, "solution": ["B^2", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooooooAABoooooBoooCoooooCooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^2,A>2\n"]}} {"board": "BAAooCBooooCBooooCDDoEoooooEFFooGGGo", "size": 6, "moves": 2, "solution": ["Cv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BAAooCBooooCBooooCDDoEoooooEFFooGGGo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>3\n"]}} {"board": "oooBBBoCoDoooCEDoooCEDoFooEAAFGGGooF", "size": 6, "moves": 2, "solution": ["F^2", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBoCoDoooCEDoooCEDoFooEAAFGGGooF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^2,A>1\n"]}} {"board": "oooBoooooBoCoooAACDDooooooooooooEEEo", "size": 6, "moves": 2, "solution": ["C^1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoooooBoCoooAACDDooooooooooooEEEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>1\n"]}} {"board": "ooooBoCDDDBoCooAAEoFGooEHFGoIIHFGJJo", "size": 6, "moves": 2, "solution": ["E^2", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoCDDDBoCooAAEoFGooEHFGoIIHFGJJo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^2,A>1\n"]}} {"board": "ooBCCCDoBEEEDoBooFDGGGHFIIIoHFAAooHo", "size": 6, "moves": 2, "solution": ["H^1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBCCCDoBEEEDoBooFDGGGHFIIIoHFAAooHo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nH^1,A>4\n"]}} {"board": "oooooooooBBBCoooooCoAAoDCooooDoooooo", "size": 6, "moves": 2, "solution": ["Dv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBBBCoooooCoAAoDCooooDoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,A>2\n"]}} {"board": "ooooooAAoooBoooooBoCDooooCDEEEoCDFFF", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooAAoooBoooooBoCDooooCDEEEoCDFFF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oooooBoAAooBooCoooooCoooooCDoooooDoo", "size": 6, "moves": 2, "solution": ["Bv2", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoAAooBooCoooooCoooooCDoooooDoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>3\n"]}} {"board": "oooooooBoooooBoooooBooooAAooCoooooCo", "size": 6, "moves": 2, "solution": ["C^2", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooBoooooBoooooBooooAAooCoooooCo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>4\n"]}} {"board": "oooooooooooooooAABoCCDoBooEDFFooEDoo", "size": 6, "moves": 2, "solution": ["B^2", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooooooAABoCCDoBooEDFFooEDoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^2,A>1\n"]}} {"board": "oBoCCCDBoAAEDBFFFEDoooooGGGHHHooIIoo", "size": 6, "moves": 2, "solution": ["Ev1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoCCCDBoAAEDBFFFEDoooooGGGHHHooIIoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,A>1\n"]}} {"board": "oBooCooBAACoDBoooEDooooEDoFoooooFGGG", "size": 6, "moves": 2, "solution": ["Cv2", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBooCooBAACoDBoooEDooooEDoFoooooFGGG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,A>2\n"]}} {"board": "oooooooooBooAAoBooooooCCDoEEEoDooooo", "size": 6, "moves": 2, "solution": ["B^1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBooAAoBooooooCCDoEEEoDooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,A>4\n"]}} {"board": "oooBBBoooCCCoAAooDoEFFoDoEoooooEGGoo", "size": 6, "moves": 2, "solution": ["Dv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBoooCCCoAAooDoEFFoDoEoooooEGGoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,A>3\n"]}} {"board": "ooAABoooooBoCCCooooooooooooDoooooDoo", "size": 6, "moves": 2, "solution": ["Bv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAABoooooBoCCCooooooooooooDoooooDoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "oooooooooBCooooBCooDEEEFoDoooFoDoAAF", "size": 6, "moves": 2, "solution": ["F^1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBCooooBCooDEEEFoDoooFoDoAAF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,A>1\n"]}} {"board": "BooCooBooCooBooCDoAAooDoEEoFFGHHHIIG", "size": 6, "moves": 2, "solution": ["D^1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BooCooBooCooBooCDoAAooDoEEoFFGHHHIIG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>4\n"]}} {"board": "ooooBooCooBooCooooooooDooAAoDooooooo", "size": 6, "moves": 2, "solution": ["D^1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBooCooBooCooooooooDooAAoDooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>3\n"]}} {"board": "oooBoooCoBoooCooDooAAoDoEEFFFoooGGoo", "size": 6, "moves": 2, "solution": ["D^1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoooCoBoooCooDooAAoDoEEFFFoooGGoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>3\n"]}} {"board": "oooooBoooooBooAACoooDDCoooooCooEEEoo", "size": 6, "moves": 2, "solution": ["Cv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoooooBooAACoooDDCoooooCooEEEoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>2\n"]}} {"board": "AAoooBCDDDEBCoFGEoHHFGEoooFGooIIoJJJ", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoooBCDDDEBCoFGEoHHFGEoooFGooIIoJJJ\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oooooBoooAABoCCCDBooooDooooEDoFFFEoo", "size": 6, "moves": 2, "solution": ["Bv2", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoooAABoCCCDBooooDooooEDoFFFEoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>1\n"]}} {"board": "oooBooCooBooCooBooAADoooooDoooooEEEo", "size": 6, "moves": 2, "solution": ["D^2", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBooCooBooCooBooAADoooooDoooooEEEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,A>4\n"]}} {"board": "ooAAoBoooooBoooooBoCCDoooooDoooooDoo", "size": 6, "moves": 2, "solution": ["Bv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAAoBoooooBoooooBoCCDoooooDoooooDoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "oooooooAAooBoooooBoooooBCooDDoCooooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooAAooBoooooBoooooBCooDDoCooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "AAooBoCoooBDCoEEBDCFGGoDoFooHHoFoooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAooBoCoooBDCoEEBDCFGGoDoFooHHoFoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oooooooBBBooooooooooooCoAAooCoooooCo", "size": 6, "moves": 2, "solution": ["C^2", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooBBBooooooooooooCoAAooCoooooCo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>4\n"]}} {"board": "oooooBooCCCBoooAABooooooooooooooDDoo", "size": 6, "moves": 2, "solution": ["Bv3", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBooCCCBoooAABooooooooooooooDDoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv3,A>1\n"]}} {"board": "BCAAoDBCoEEDBCoFoooooFoooooFoooooooo", "size": 6, "moves": 2, "solution": ["Dv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BCAAoDBCoEEDBCoFoooooFoooooFoooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,A>2\n"]}} {"board": "oAAooBoooCoBoooCoBDDDCoooooooooooEEo", "size": 6, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAooBoooCoBoooCoBDDDCoooooooooooEEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "BCCCDoBEEEDoBFFFDGooAAoGHooIIIHoJJJo", "size": 6, "moves": 2, "solution": ["G^1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BCCCDoBEEEDoBFFFDGooAAoGHooIIIHoJJJo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nG^1,A>2\n"]}} {"board": "oooooooooBBBoooooooAAooCoooDDCoooooo", "size": 6, "moves": 2, "solution": ["Cv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBBBoooooooAAooCoooDDCoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>3\n"]}} {"board": "oooooooooooooBBBooCoAADoCEooDFCEooDF", "size": 6, "moves": 2, "solution": ["D^3", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooooBBBooCoAADoCEooDFCEooDF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^3,A>2\n"]}} {"board": "oooooooooBoooAABoooooBooooooooCCooDD", "size": 6, "moves": 2, "solution": ["Bv2", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBoooAABoooooBooooooooCCooDD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>3\n"]}} {"board": "oooooooooBBBoooooCooooDCooooDCAAooDo", "size": 6, "moves": 2, "solution": ["D^1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBBBoooooCooooDCooooDCAAooDo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>4\n"]}} {"board": "oooooooooooooAAooBoooooBoooooooooCCo", "size": 6, "moves": 2, "solution": ["B^2", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooooAAooBoooooBoooooooooCCo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^2,A>3\n"]}} {"board": "ooooBoooAABoCCCooooooDooEEFDGGHHFDoo", "size": 6, "moves": 2, "solution": ["Bv2", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoooAABoCCCooooooDooEEFDGGHHFDoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>2\n"]}} {"board": "oooBBBoooooCoooooCoooooCooooDooAAoDo", "size": 6, "moves": 2, "solution": ["D^1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBoooooCoooooCoooooCooooDooAAoDo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>3\n"]}} {"board": "oooooooooBBBooooooCCCooDoooooDoAAooD", "size": 6, "moves": 2, "solution": ["D^1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBBBooooooCCCooDoooooDoAAooD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>3\n"]}} {"board": "BBBoooooAAoCoooooCoooooooDDDEEoooooo", "size": 6, "moves": 2, "solution": ["Cv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBoooooAAoCoooooCoooooooDDDEEoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>2\n"]}} {"board": "oAABooCCoBoDoEFoGDHEFoGoHoFIoJHooIoJ", "size": 6, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAABooCCoBoDoEFoGDHEFoGoHoFIoJHooIoJ\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "oBoooooBoooCDBAAoCDooEoCoooEoooooEoo", "size": 6, "moves": 2, "solution": ["Cv2", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoooooBoooCDBAAoCDooEoCoooEoooooEoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,A>2\n"]}} {"board": "BoooooBoooooBoooooooAACoooooCoooooCo", "size": 6, "moves": 2, "solution": ["C^3", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoooooBoooooBoooooooAACoooooCoooooCo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^3,A>2\n"]}} {"board": "oooooooooBBBooAAoCDEFFoCDEGHoooEGHoo", "size": 6, "moves": 2, "solution": ["Cv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBBBooAAoCDEFFoCDEGHoooEGHoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>2\n"]}} {"board": "oAABooCooBooCDDoooCooooEoooooEoooooE", "size": 6, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAABooCooBooCDDoooCooooEoooooEoooooE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "oooooBoAAooBoooooooooCoooooCDDEEoCFF", "size": 6, "moves": 2, "solution": ["Bv2", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoAAooBoooooooooCoooooCDDEEoCFF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>3\n"]}} {"board": "ooooooAAoBoooooBooCooBooCoooooCoooDD", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooAAoBoooooBooCooBooCoooooCoooDD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "BAAooCBoDDDCBooEFCGGoEFooHHoFooooIII", "size": 6, "moves": 2, "solution": ["Cv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BAAooCBoDDDCBooEFCGGoEFooHHoFooooIII\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>3\n"]}} {"board": "ooooBooCCCBoDDDooEAAoooEoooooEooFFGG", "size": 6, "moves": 2, "solution": ["E^2", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBooCCCBoDDDooEAAoooEoooooEooFFGG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^2,A>4\n"]}} {"board": "oooooooAAoBoCCCoBoooDDoooooooooooooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooAAoBoCCCoBoooDDoooooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "BoooooBoCoooBoCoooooCooDoAAooDooEEoD", "size": 6, "moves": 2, "solution": ["D^2", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoooooBoCoooBoCoooooCooDoAAooDooEEoD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,A>3\n"]}} {"board": "oAAoBooCCoBDEooooDEoooFoooooFGooooFG", "size": 6, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAoBooCCoBDEooooDEoooFoooooFGooooFG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "oooBBBCCCooDooAAoDooooEoooooEooooooo", "size": 6, "moves": 2, "solution": ["Dv2", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBCCCooDooAAoDooooEoooooEooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv2,A>2\n"]}} {"board": "ooBBBooCoDEooCoDEooFooEooFoAAGoFHHoG", "size": 6, "moves": 2, "solution": ["G^2", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBooCoDEooCoDEooFooEooFoAAGoFHHoG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nG^2,A>1\n"]}} {"board": "AABoooooBCoooooCDooEooDoFEGoDoFEGooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AABoooooBCoooooCDooEooDoFEGoDoFEGooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "BBBooCoooAACooooooDoEEooDooFooDooFoo", "size": 6, "moves": 2, "solution": ["Cv2", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBooCoooAACooooooDoEEooDooFooDooFoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,A>1\n"]}} {"board": "oooooooooBBBAAoCooDDoCooooooEEooFFoo", "size": 6, "moves": 2, "solution": ["Cv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBBBAAoCooDDoCooooooEEooFFoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>4\n"]}} {"board": "oBoooooBooooooooooooooooooAAoCoooooC", "size": 6, "moves": 2, "solution": ["C^2", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoooooBooooooooooooooooooAAoCoooooC\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>2\n"]}} {"board": "ooBAACDEBooCDEFFFCGHIIIoGHoJJKoHoooK", "size": 6, "moves": 2, "solution": ["Cv1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBAACDEBooCDEFFFCGHIIIoGHoJJKoHoooK\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>1\n"]}} {"board": "ooBBBooCCCoooooAADoEoooDoEooFooEooFo", "size": 6, "moves": 2, "solution": ["D^2", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBooCCCoooooAADoEoooDoEooFooEooFo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,A>1\n"]}} {"board": "ooAABoCDooBoCDEEBFoGHooFoGHIIIooHJJJ", "size": 6, "moves": 2, "solution": ["Bv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAABoCDooBoCDEEBFoGHooFoGHIIIooHJJJ\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "ooBoooAABooooooooooooCCCoDoooooDoooo", "size": 6, "moves": 2, "solution": ["Bv2", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoooAABooooooooooooCCCoDoooooDoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>4\n"]}} {"board": "oooooooooBoooooBoooAABoooooCoooDDCEE", "size": 6, "moves": 2, "solution": ["B^1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBoooooBoooAABoooooCoooDDCEE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,A>3\n"]}} {"board": "ooAAoBoooooBoooooooooooooooCoooooCoo", "size": 6, "moves": 2, "solution": ["Bv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAAoBoooooBoooooooooooooooCoooooCoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "AAooBoooooBooooCBoooDCooooDEEoooDooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAooBoooooBooooCBoooDCooooDEEoooDooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oBBBoCoooAACoooooooooooooooooooooooo", "size": 6, "moves": 2, "solution": ["Cv2", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBoCoooAACoooooooooooooooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,A>1\n"]}} {"board": "oooBooCCCBoooooAADEooFoDEooFoDEooGGo", "size": 6, "moves": 2, "solution": ["Dv1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBooCCCBoooooAADEooFoDEooFoDEooGGo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,A>1\n"]}} {"board": "AABoooooBoCoooBoCooDoooooDoEEEooFFoo", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AABoooooBoCoooBoCooDoooooDoEEEooFFoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "ooooooooooooAAoBoooooBCCoooBoDoooooD", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooooAAoBoooooBCCoooBoDoooooD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "ooooBooAAoBoooooooooCooDooCEoDooCEoD", "size": 6, "moves": 2, "solution": ["Bv2", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBooAAoBoooooooooCooDooCEoDooCEoD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>3\n"]}} {"board": "BBBooooooooooAAooCDoEooCDoEFFoDooGGG", "size": 6, "moves": 2, "solution": ["C^2", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBooooooooooAAooCDoEooCDoEFFoDooGGG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>3\n"]}} {"board": "BCoooDBCoooDBoAAoDooEoooooEoooooEooo", "size": 6, "moves": 2, "solution": ["Dv3", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BCoooDBCoooDBoAAoDooEoooooEoooooEooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv3,A>2\n"]}} {"board": "oBoCCCoBoDDDoBoEooFAAEooFoooGGFooooo", "size": 6, "moves": 2, "solution": ["Ev2", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoCCCoBoDDDoBoEooFAAEooFoooGGFooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv2,A>3\n"]}} {"board": "oooooBoooAABoooooBooooooooCoooooCooo", "size": 6, "moves": 2, "solution": ["Bv2", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoooAABoooooBooooooooCoooooCooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>1\n"]}} {"board": "oooooooooBooAAoBooCooDDDCoooooCooooo", "size": 6, "moves": 2, "solution": ["B^1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBooAAoBooCooDDDCoooooCooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,A>4\n"]}} {"board": "BBBooooooooooooooooAAoCooDDDCoEEEoCo", "size": 6, "moves": 2, "solution": ["C^3", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBooooooooooooooooAAoCooDDDCoEEEoCo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^3,A>3\n"]}} {"board": "ooBBBoAAooCoooDDCooEFoooGEFoooGoFooo", "size": 6, "moves": 2, "solution": ["Cv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBoAAooCoooDDCooEFoooGEFoooGoFooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>4\n"]}} {"board": "oBooCooBooCoooAACooooooooDDDoooooooo", "size": 6, "moves": 2, "solution": ["Cv3", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBooCooBooCoooAACooooooooDDDoooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv3,A>2\n"]}} {"board": "BAACooBooCDEBoooDEFFFGDEoooGHHoooGoo", "size": 6, "moves": 2, "solution": ["Cv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BAACooBooCDEBoooDEFFFGDEoooGHHoooGoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>3\n"]}} {"board": "oAAooBoooooBooCCCBDoooooDooEEEDooooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAooBoooooBooCCCBDoooooDooEEEDooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "oooooooBAAoCoBoooCDBooooDoooooDooooo", "size": 6, "moves": 2, "solution": ["Cv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooBAAoCoBoooCDBooooDoooooDooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>2\n"]}} {"board": "ooAAoBoCCooBDoooooDoooooDooEEEoooFFo", "size": 6, "moves": 2, "solution": ["Bv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAAoBoCCooBDoooooDoooooDooEEEoooFFo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "oooooooooBoooAABoooooooooCCooooDDooo", "size": 6, "moves": 2, "solution": ["B^1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBoooAABoooooooooCCooooDDooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,A>3\n"]}} {"board": "BoooooBoooooooooooooAACoDDDoCooooooo", "size": 6, "moves": 2, "solution": ["C^2", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoooooBoooooooooooooAACoDDDoCooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>2\n"]}} {"board": "oAAooBoooooBooooooCCoDDDoooEEoooFFoo", "size": 6, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAooBoooooBooooooCCoDDDoooEEoooFFoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "oBoooooBoooooBoooooooooooooooCooAAoC", "size": 6, "moves": 2, "solution": ["C^1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoooooBoooooBoooooooooooooooCooAAoC\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>2\n"]}} {"board": "oooooBoooooBoooCoooAACooooooDDoooEEE", "size": 6, "moves": 2, "solution": ["C^1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoooooBoooCoooAACooooooDDoooEEE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>3\n"]}} {"board": "oooBBBooCoooDoCoooDoooooooEoooAAEooo", "size": 6, "moves": 2, "solution": ["E^1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBooCoooDoCoooDoooooooEoooAAEooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,A>4\n"]}} {"board": "oooooooooBoooAABoooCCBooooooDDoooooo", "size": 6, "moves": 2, "solution": ["Bv2", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBoooAABoooCCBooooooDDoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>3\n"]}} {"board": "oooAABoCoooBoCoooooooooooooDDDoooooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooAABoCoooBoCoooooooooooooDDDoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>1\n"]}} {"board": "oBoCoooBoCoDoBoCEDFGAAEoFGHoEoFoHooo", "size": 6, "moves": 2, "solution": ["E^2", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoCoooBoCoDoBoCEDFGAAEoFGHoEoFoHooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^2,A>2\n"]}} {"board": "BBBoooCoDoooCoDoooCoDooooooooEAAoooE", "size": 6, "moves": 2, "solution": ["E^1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBoooCoDoooCoDoooCoDooooooooEAAoooE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,A>4\n"]}} {"board": "BoooooBooooooooooooooooCooDooCooDAAC", "size": 6, "moves": 2, "solution": ["C^1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoooooBooooooooooooooooCooDooCooDAAC\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>1\n"]}} {"board": "oooBBBAACoooooCoooooooDEFoooDEFGGGoE", "size": 6, "moves": 2, "solution": ["Cv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBAACoooooCoooooooDEFoooDEFGGGoE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>4\n"]}} {"board": "ooBoCooDBoCooDEoooFDEoGoFHHHGIooAAoI", "size": 6, "moves": 2, "solution": ["I^1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoCooDBoCooDEoooFDEoGoFHHHGIooAAoI\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nI^1,A>2\n"]}} {"board": "BoooooBoooooBooooooooCoooAACoooooCDD", "size": 6, "moves": 2, "solution": ["C^2", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoooooBoooooBooooooooCoooAACoooooCDD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>3\n"]}} {"board": "ooooooooooooooooooAAoooBoCooDBoCEEDB", "size": 6, "moves": 2, "solution": ["B^3", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooooooooooAAoooBoCooDBoCEEDB\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^3,A>4\n"]}} {"board": "oooooBCCCooBooAAoDooooEDoFFoEoooooEo", "size": 6, "moves": 2, "solution": ["Dv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBCCCooBooAAoDooooEDoFFoEoooooEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,A>2\n"]}} {"board": "oooooooooooBCDDDoBCooAABCooooooooooo", "size": 6, "moves": 2, "solution": ["B^1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooBCDDDoBCooAABCooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,A>1\n"]}} {"board": "oooooBoCoooBoCAAoBDooEFoDooEFoDooEoo", "size": 6, "moves": 2, "solution": ["Bv3", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoCoooBoCAAoBDooEFoDooEFoDooEoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv3,A>2\n"]}} {"board": "BCooooBCoDEFBCoDEFooAAoFooooGoHHHoGo", "size": 6, "moves": 2, "solution": ["F^1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BCooooBCoDEFBCoDEFooAAoFooooGoHHHoGo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,A>2\n"]}} {"board": "ooooooAAoBoooooBCooooBCooooooooooooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooAAoBoooooBCooooBCooooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "ooooooooooooooAAoBoCCCoBoooooooooooo", "size": 6, "moves": 2, "solution": ["B^2", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooooooAAoBoCCCoBoooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^2,A>2\n"]}} {"board": "ooooooooBoooooBooCooBAACooooooooooDD", "size": 6, "moves": 2, "solution": ["C^1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooBoooooBooCooBAACooooooooooDD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>1\n"]}} {"board": "oooooooooooBoooAABoooooBCCDDoooooooo", "size": 6, "moves": 2, "solution": ["Bv2", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooBoooAABoooooBCCDDoooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>1\n"]}} {"board": "oooooooooBooCooBDoCooBDEooooDEoAAooE", "size": 6, "moves": 2, "solution": ["E^1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBooCooBDoCooBDEooooDEoAAooE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,A>3\n"]}} {"board": "oooooooooAABoooooBooooooCCDDDooooooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooAABoooooBooooooCCDDDooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>1\n"]}} {"board": "BooooCBAAooCBooooCDDoooooEoFoooEoFGG", "size": 6, "moves": 2, "solution": ["Cv2", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BooooCBAAooCBooooCDDoooooEoFoooEoFGG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,A>3\n"]}} {"board": "ooAABoooooBooCCooooooooooooooooDDooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAABoooooBooCCooooooooooooooooDDooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "ooAABoooooBooCCCooooooooDDDooooEEEoo", "size": 6, "moves": 2, "solution": ["Bv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAABoooooBooCCCooooooooDDDooooEEEoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "ooooooAAoooBoooooBooCCCooooooooooooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooAAoooBoooooBooCCCooooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oooooooAAoBoooooBoooooBCoooooCooDDoC", "size": 6, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooAAoBoooooBoooooBCoooooCooDDoC\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "ooooooooBBBooAAooCoooooCoooooooooooo", "size": 6, "moves": 2, "solution": ["C^2", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooBBBooAAooCoooooCoooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>3\n"]}} {"board": "ooooBoAAooBoooooBCDDoooCEEoFoCGGGFoo", "size": 6, "moves": 2, "solution": ["Bv2", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoAAooBoooooBCDDoooCEEoFoCGGGFoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>4\n"]}} {"board": "ooooooooooooooooBooCAABooCooBooCoooo", "size": 6, "moves": 2, "solution": ["B^2", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooooooooBooCAABooCooBooCoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^2,A>2\n"]}} {"board": "oooooBoooooBooooCBDoooCoDoAACooooooo", "size": 6, "moves": 2, "solution": ["C^1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoooooBooooCBDoooCoDoAACooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>2\n"]}} {"board": "ooAAoBoCooDBoCEoDoFFEGHoooEGHooooGHo", "size": 6, "moves": 2, "solution": ["Bv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAAoBoCooDBoCEoDoFFEGHoooEGHooooGHo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "oAAoBoooooBooCCCBoDEooooDEooFFDEoooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAoBoooooBooCCCBoDEooooDEooFFDEoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "ooooooAABoooooBoooooBoCCDooEEEDoooFF", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooAABoooooBoooooBoCCDooEEEDoooFF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oooooBCAAooBCoooooooDDooEooFFFEGGooo", "size": 6, "moves": 2, "solution": ["Bv2", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBCAAooBCoooooooDDooEooFFFEGGooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>3\n"]}} {"board": "oooooooAABoooooBoooooooooooCCCoDDooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooAABoooooBoooooooooooCCCoDDooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "oBoooooBooooooAAoCDDooECooooEooooooo", "size": 6, "moves": 2, "solution": ["C^2", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoooooBooooooAAoCDDooECooooEooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>2\n"]}} {"board": "ooooooBAACooBooCoooooCoooDDooEoooFFE", "size": 6, "moves": 2, "solution": ["Cv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooBAACooBooCoooooCoooDDooEoooFFE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>3\n"]}} {"board": "oooBBBoAAoCoDoooCoDoooCooooooooooooo", "size": 6, "moves": 2, "solution": ["Cv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBoAAoCoDoooCoDoooCooooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>3\n"]}} {"board": "ooooooAAoBooCCCBooooooDooEEoDooFFGGG", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooAAoBooCCCBooooooDooEEoDooFFGGG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "BoCoooBoCoDEooCoDEFoAAoEFoooGoFoooGo", "size": 6, "moves": 2, "solution": ["E^1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoCoooBoCoDEooCoDEFoAAoEFoooGoFoooGo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,A>2\n"]}} {"board": "BAAoCoBDDDCEBoFFoEGGoHHHIoJJJKIooLLK", "size": 6, "moves": 2, "solution": ["Cv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BAAoCoBDDDCEBoFFoEGGoHHHIoJJJKIooLLK\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>3\n"]}} {"board": "oooooBCCCooBooooDBoAAoDooooooooEEooo", "size": 6, "moves": 2, "solution": ["D^1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBCCCooBooooDBoAAoDooooooooEEooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>3\n"]}} {"board": "ooooBoooooBooAAoBoCoDDooCoooooCooooo", "size": 6, "moves": 2, "solution": ["Bv3", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoooooBooAAoBoCoDDooCoooooCooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv3,A>3\n"]}} {"board": "BoooooBoooCoBAAoCooooDDDooooooooEEoo", "size": 6, "moves": 2, "solution": ["C^1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoooooBoooCoBAAoCooooDDDooooooooEEoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>3\n"]}} {"board": "oooooooooooBoooAABCDooEoCDooEoCDFFEo", "size": 6, "moves": 2, "solution": ["B^1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooBoooAABCDooEoCDooEoCDFFEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,A>1\n"]}} {"board": "oBoooooBCoooDoCoooDoooEoooAAEoooooEo", "size": 6, "moves": 2, "solution": ["E^2", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoooooBCoooDoCoooDoooEoooAAEoooooEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^2,A>2\n"]}} {"board": "oBAAoCoBDDoCEBoooCEooFGoEHHFGoIIoJJJ", "size": 6, "moves": 2, "solution": ["Cv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBAAoCoBDDoCEBoooCEooFGoEHHFGoIIoJJJ\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>2\n"]}} {"board": "oooooooooooooooooBoooooBCooAABCooooo", "size": 6, "moves": 2, "solution": ["B^1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooooooooBoooooBCooAABCooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,A>1\n"]}} {"board": "ooooooBCooDoBCAADoBooEooooFEooooFEoo", "size": 6, "moves": 2, "solution": ["D^1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooBCooDoBCAADoBooEooooFEooooFEoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>2\n"]}} {"board": "AAoooBooCCCBoooooBDDDooooooooooooooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoooBooCCCBoooooBDDDooooooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oooooBCCCoDBEooFDBEAAFooGooHHHGooIII", "size": 6, "moves": 2, "solution": ["F^1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBCCCoDBEooFDBEAAFooGooHHHGooIII\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,A>3\n"]}} {"board": "BooCCCBoooooBAADooEEoDoooooooooFFoGG", "size": 6, "moves": 2, "solution": ["Dv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BooCCCBoooooBAADooEEoDoooooooooFFoGG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,A>3\n"]}} {"board": "AABoooooBooooCoDooECoDooECoDFFEooooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AABoooooBooooCoDooECoDooECoDFFEooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "ooBCooooBCooDoBCEoDFooEooFAAoGooHHoG", "size": 6, "moves": 2, "solution": ["G^2", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBCooooBCooDoBCEoDFooEooFAAoGooHHoG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nG^2,A>2\n"]}} {"board": "ooBoooooBoooooBoooCCCDoooooDoooAADoo", "size": 6, "moves": 2, "solution": ["D^1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoooooBoooooBoooCCCDoooooDoooAADoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>3\n"]}} {"board": "oBBBoCoooAACoooooCoooooooooooooooooo", "size": 6, "moves": 2, "solution": ["Cv2", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBoCoooAACoooooCoooooooooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,A>1\n"]}} {"board": "oAAoBoooooBooooooooCCoooooDEFFooDEoo", "size": 6, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAoBoooooBooooooooCCoooooDEFFooDEoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "oooooooooooooooooooooAABoooooBoooCCB", "size": 6, "moves": 2, "solution": ["B^3", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooooooooooooAABoooooBoooCCB\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^3,A>1\n"]}} {"board": "ooooBoCoooBoCoooBDoEAAoDoEoooDoEoFFo", "size": 6, "moves": 2, "solution": ["D^2", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoCoooBoCoooBDoEAAoDoEoooDoEoFFo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,A>2\n"]}} {"board": "ooooooAAoooBoooCoBoooCDBEEFoDoooFGGG", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooAAoooBoooCoBoooCDBEEFoDoooFGGG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oooooooBoooooBoooooBCCCDoooAADooEEoo", "size": 6, "moves": 2, "solution": ["D^1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooBoooooBoooooBCCCDoooAADooEEoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>1\n"]}} {"board": "oooBBBAAoCooDDECFFooEooooGGGoHoooIIH", "size": 6, "moves": 2, "solution": ["Cv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBAAoCooDDECFFooEooooGGGoHoooIIH\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>4\n"]}} {"board": "oBBBoCAAoooCoooooooDoooooDoooooooooo", "size": 6, "moves": 2, "solution": ["Cv2", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBoCAAoooCoooooooDoooooDoooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,A>4\n"]}} {"board": "ooooooooBBBooooooCoooooCooDAACooDoEE", "size": 6, "moves": 2, "solution": ["C^1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooBBBooooooCoooooCooDAACooDoEE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>1\n"]}} {"board": "ooBoCoooBoCDoooAADEoooooEoooFoEoooFo", "size": 6, "moves": 2, "solution": ["D^1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoCoooBoCDoooAADEoooooEoooFoEoooFo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>1\n"]}} {"board": "BoooooBoAACoDooECoDooEoooFoEoooFoGGG", "size": 6, "moves": 2, "solution": ["Cv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoooooBoAACoDooECoDooEoooFoEoooFoGGG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>2\n"]}} {"board": "AAoooBoooooBoooooBoCoDDooCEEFFoCGGoo", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoooBoooooBoooooBoCoDDooCEEFFoCGGoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "BoooooBCDDDEBCAAoEFFoGGEooHoooooHIIo", "size": 6, "moves": 2, "solution": ["Ev2", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoooooBCDDDEBCAAoEFFoGGEooHoooooHIIo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv2,A>2\n"]}} {"board": "oooooooooooooAAooBoCoDEBoCoDEBoCoDEo", "size": 6, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooooAAooBoCoDEBoCoDEBoCoDEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "ooooBoooooBooAAoBoooooooooCCoooooooo", "size": 6, "moves": 2, "solution": ["Bv3", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoooooBooAAoBoooooooooCCoooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv3,A>3\n"]}} {"board": "oooooooooooBCoAAoBCDEooBCDEooooDEooo", "size": 6, "moves": 2, "solution": ["Bv2", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooBCoAAoBCDEooBCDEooooDEooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>2\n"]}} {"board": "ooooooBCoDDDBCoooooooEoooAAEooFFooGG", "size": 6, "moves": 2, "solution": ["E^1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooBCoDDDBCoooooooEoooAAEooFFooGG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,A>3\n"]}} {"board": "oooooooBooCooBooCoooAACoooooDoooooDo", "size": 6, "moves": 2, "solution": ["C^1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooBooCooBooCoooAACoooooDoooooDo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>2\n"]}} {"board": "oooooooooooBoCoooBDCoAABDoooooDooooo", "size": 6, "moves": 2, "solution": ["B^1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooBoCoooBDCoAABDoooooDooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,A>1\n"]}} {"board": "oooooooBBBoooooooooooooCoooooCoAAooC", "size": 6, "moves": 2, "solution": ["C^1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooBBBoooooooooooooCoooooCoAAooC\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>3\n"]}} {"board": "oAAoBoooooBoooooooCDEEEoCDFFFoCDoooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAoBoooooBoooooooCDEEEoCDFFFoCDoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "BCCCooBooooDBooAADoooooooooooooooooo", "size": 6, "moves": 2, "solution": ["D^1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BCCCooBooooDBooAADoooooooooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>1\n"]}} {"board": "oBBBooooooooooCCCDoooooDoooAADoooEEo", "size": 6, "moves": 2, "solution": ["D^1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBooooooooooCCCDoooooDoooAADoooEEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>1\n"]}} {"board": "oooooBoooooBooCDDDooCEoooFoEGooFAAGo", "size": 6, "moves": 2, "solution": ["G^1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoooooBooCDDDooCEoooFoEGooFAAGo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nG^1,A>2\n"]}} {"board": "oooooBoooooBoooCooAAoCoooooooooooooo", "size": 6, "moves": 2, "solution": ["C^1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoooooBoooCooAAoCoooooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>4\n"]}} {"board": "ooBoooooBoooCoooooCooooDCooooDoAAooD", "size": 6, "moves": 2, "solution": ["D^1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoooooBoooCoooooCooooDCooooDoAAooD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>3\n"]}} {"board": "ooBoCooDBoCEoDooCEFDAAoEFGoHHooGoIII", "size": 6, "moves": 2, "solution": ["E^1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoCooDBoCEoDooCEFDAAoEFGoHHooGoIII\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,A>2\n"]}} {"board": "ooooooBBBCCCDoooooDoEoooDoEoooAAEooo", "size": 6, "moves": 2, "solution": ["E^1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooBBBCCCDoooooDoEoooDoEoooAAEooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,A>4\n"]}} {"board": "oBAACooBooCoooooCooooDoEFooDoEFooDoE", "size": 6, "moves": 2, "solution": ["Cv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBAACooBooCoooooCooooDoEFooDoEFooDoE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>2\n"]}} {"board": "oooooooBBBCoooooCooAAoCoooooooooooDD", "size": 6, "moves": 2, "solution": ["C^1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooBBBCoooooCooAAoCoooooooooooDD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>3\n"]}} {"board": "ooooooooBoooAABooooooCoooooCoooooCoo", "size": 6, "moves": 2, "solution": ["B^1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooBoooAABooooooCoooooCoooooCoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,A>4\n"]}} {"board": "oooooooBoooooBooooooAAoCoooooCoooooC", "size": 6, "moves": 2, "solution": ["C^3", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooBoooooBooooooAAoCoooooCoooooC\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^3,A>2\n"]}} {"board": "oooooBoooooBooooCoAAooCooooooooooooo", "size": 6, "moves": 2, "solution": ["C^1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoooooBooooCoAAooCooooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>4\n"]}} {"board": "AABoooooBooooooCoooooCoooooCooooDDDo", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AABoooooBooooooCoooooCoooooCooooDDDo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oooBBBoooooCoAAooCoooooCoDDooooooooo", "size": 6, "moves": 2, "solution": ["Cv2", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBoooooCoAAooCoooooCoDDooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,A>3\n"]}} {"board": "ooAAoBCCoooBDEEoFoDoooFGoooooGHHIIIG", "size": 6, "moves": 2, "solution": ["Bv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAAoBCCoooBDEEoFoDoooFGoooooGHHIIIG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "ooBooooCBoooDCBoEoDCAAEoDooFGoHHHFGo", "size": 6, "moves": 2, "solution": ["E^1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBooooCBoooDCBoEoDCAAEoDooFGoHHHFGo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,A>2\n"]}} {"board": "oooooooBBBCooDooCoEDooCFEDoAAFEooooF", "size": 6, "moves": 2, "solution": ["F^2", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooBBBCooDooCoEDooCFEDoAAFEooooF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^2,A>1\n"]}} {"board": "oBCooooBCooDoBCAADEooFFFEGHHHIEGoooI", "size": 6, "moves": 2, "solution": ["D^1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBCooooBCooDoBCAADEooFFFEGHHHIEGoooI\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>1\n"]}} {"board": "oooooooAAoBoooooBCooDDoCoooooooooooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooAAoBoooooBCooDDoCoooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "AAoooBooCCCBDEFFooDEoGGooEoooooooooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoooBooCCCBDEFFooDEoGGooEoooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oooAABoooCoBoooCoBoooooooooooooooDDD", "size": 6, "moves": 2, "solution": ["Bv1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooAABoooCoBoooCoBoooooooooooooooDDD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>1\n"]}} {"board": "ooBoooooBoooooBooCoooDoCoooDoooAADoo", "size": 6, "moves": 2, "solution": ["D^1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoooooBoooooBooCoooDoCoooDoooAADoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>3\n"]}} {"board": "BBBoooCCCDDDooAAEoFGoHEoFGoHEoFoIIoo", "size": 6, "moves": 2, "solution": ["Ev1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBoooCCCDDDooAAEoFGoHEoFGoHEoFoIIoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,A>2\n"]}} {"board": "BBBoooCCCoooDoAAoEDFoGoEoFoGoooFoGoo", "size": 6, "moves": 2, "solution": ["E^2", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBoooCCCoooDoAAoEDFoGoEoFoGoooFoGoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^2,A>2\n"]}} {"board": "oooooooAAoBoooCCBDoooooDooEEEFoooooF", "size": 6, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooAAoBoooCCBDoooooDooEEEFoooooF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "ooBoooAABooooCoooooCoDDooCooooooooEE", "size": 6, "moves": 2, "solution": ["Bv2", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoooAABooooCoooooCoDDooCooooooooEE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>4\n"]}} {"board": "AABoooCCBDDDEEoooFoooGoFHHHGoFoooGoo", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AABoooCCBDDDEEoooFoooGoFHHHGoFoooGoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oBoAACoBDDDCoBEoooFoEGGoFHEoIIFHJJJo", "size": 6, "moves": 2, "solution": ["Cv1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoAACoBDDDCoBEoooFoEGGoFHEoIIFHJJJo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>1\n"]}} {"board": "ooBoooooBoooooAACooDooCooDEEoooFFFoo", "size": 6, "moves": 2, "solution": ["C^2", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoooooBoooooAACooDooCooDEEoooFFFoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>2\n"]}} {"board": "BooooCBAAooCoooooCoDDooooooooooooEEE", "size": 6, "moves": 2, "solution": ["Cv2", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BooooCBAAooCoooooCoDDooooooooooooEEE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,A>3\n"]}} {"board": "ooBoooooBoooooooooAAoooCDDDEoCoooEoC", "size": 6, "moves": 2, "solution": ["C^3", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoooooBoooooooooAAoooCDDDEoCoooEoC\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^3,A>4\n"]}} {"board": "oooooBCCCooBDooooEDoooFEDAAoFooooooo", "size": 6, "moves": 2, "solution": ["F^1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBCCCooBDooooEDoooFEDAAoFooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,A>3\n"]}} {"board": "ooAAoBoooooBoooooBCoDoooCoDoooooDooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAAoBoooooBoooooBCoDoooCoDoooooDooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "BBBoooCooDooCAADoooooEFoGooEFoGooEFo", "size": 6, "moves": 2, "solution": ["D^1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBoooCooDooCAADoooooEFoGooEFoGooEFo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>3\n"]}} {"board": "oooBCooooBCooooBCoooAAoDoEoooDoEoooD", "size": 6, "moves": 2, "solution": ["D^3", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBCooooBCooooBCoooAAoDoEoooDoEoooD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^3,A>2\n"]}} {"board": "ooooooAAoBoooooBooooooooooCCoDoooooD", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooAAoBoooooBooooooooooCCoDoooooD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oooBBBooooooooCCCDoooooDEoooFDEoAAFo", "size": 6, "moves": 2, "solution": ["F^1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBooooooooCCCDoooooDEoooFDEoAAFo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,A>2\n"]}} {"board": "ooooooooooooooooooBBBooCooAAoCoooooC", "size": 6, "moves": 2, "solution": ["C^2", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooooooooooBBBooCooAAoCoooooC\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>2\n"]}} {"board": "oooooBoAAooBoooooooooooooooCCooooooo", "size": 6, "moves": 2, "solution": ["Bv2", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoAAooBoooooooooooooooCCooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>3\n"]}} {"board": "BooCCCBooooooooDoooAADooEEEoooooFFoo", "size": 6, "moves": 2, "solution": ["D^1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BooCCCBooooooooDoooAADooEEEoooooFFoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>3\n"]}} {"board": "oooooBCoAAoBCoooooCoooooooDoEoFFDoEo", "size": 6, "moves": 2, "solution": ["Bv2", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBCoAAoBCoooooCoooooooDoEoFFDoEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>2\n"]}} {"board": "ooooooooooooooAABoooooBoCCoooDooEEED", "size": 6, "moves": 2, "solution": ["B^2", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooooooAABoooooBoCCoooDooEEED\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^2,A>2\n"]}} {"board": "ooooooBBBooooooCooAAoCoooooDDoooEEEo", "size": 6, "moves": 2, "solution": ["C^1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooBBBooooooCooAAoCoooooDDoooEEEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>4\n"]}} {"board": "ooooooooooooAAooBoCCooBoooooBooooooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooooAAooBoCCooBoooooBooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "ooBoooooBoooooooooCDAAEoCDFFEoCoooEo", "size": 6, "moves": 2, "solution": ["E^3", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoooooBoooooooooCDAAEoCDFFEoCoooEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^3,A>2\n"]}} {"board": "oBBBooCooDDDCoooooCoooEoooooEoAAooEo", "size": 6, "moves": 2, "solution": ["E^1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBooCooDDDCoooooCoooEoooooEoAAooEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,A>4\n"]}} {"board": "BoCAADBoCooDBoCooDooEFooooEFGGoHHFoo", "size": 6, "moves": 2, "solution": ["Dv1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoCAADBoCooDBoCooDooEFooooEFGGoHHFoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,A>1\n"]}} {"board": "ooooooBoooooBoAACoBoooCooDDDCooooooo", "size": 6, "moves": 2, "solution": ["Cv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooBoooooBoAACoBoooCooDDDCooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>2\n"]}} {"board": "ooAABoCoooBoCDooBoCDEooooFEooooFGGGo", "size": 6, "moves": 2, "solution": ["Bv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAABoCoooBoCDooBoCDEooooFEooooFGGGo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "oooooBoAAooBoCCooBooooDooEEoDoooooDo", "size": 6, "moves": 2, "solution": ["Bv2", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoAAooBoCCooBooooDooEEoDoooooDo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>3\n"]}} {"board": "oooBoooAABooCCooooooooooDoEoFoDoEoFo", "size": 6, "moves": 2, "solution": ["Bv2", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoooAABooCCooooooooooDoEoFoDoEoFo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>3\n"]}} {"board": "ooooooooooBoAAooBoooooooooCCoooooDDD", "size": 6, "moves": 2, "solution": ["B^1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooBoAAooBoooooooooCCoooooDDD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,A>4\n"]}} {"board": "BoooooBoooooBCCCoooooooooAAooDoooooD", "size": 6, "moves": 2, "solution": ["D^2", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoooooBoooooBCCCoooooooooAAooDoooooD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,A>3\n"]}} {"board": "oBCAADoBCEoDFFoEGDHIJoGoHIJoGoHIoKKK", "size": 6, "moves": 2, "solution": ["Dv1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBCAADoBCEoDFFoEGDHIJoGoHIJoGoHIoKKK\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,A>1\n"]}} {"board": "oooBBBooooCoDoooCoDoooooooEAAFooEooF", "size": 6, "moves": 2, "solution": ["F^2", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBooooCoDoooCoDoooooooEAAFooEooF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^2,A>1\n"]}} {"board": "oooAABCooooBCooooooDDEEEoFGoHHoFGooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooAABCooooBCooooooDDEEEoFGoHHoFGooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>1\n"]}} {"board": "AAoBooooCBooooCoDoooCoDoooooDooooooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoBooooCBooooCoDoooCoDoooooDooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "ooooooooooooooooBoooooBoAAooBoooooCC", "size": 6, "moves": 2, "solution": ["B^1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooooooooBoooooBoAAooBoooooCC\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,A>4\n"]}} {"board": "oAAoBoCCooBooooooooDooEEoDFFFGoooooG", "size": 6, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAoBoCCooBooooooooDooEEoDFFFGoooooG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "ooooooooBoooAABoooCooooDCooooDCooooD", "size": 6, "moves": 2, "solution": ["B^1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooBoooAABoooCooooDCooooDCooooD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,A>4\n"]}} {"board": "oooooooAAoBoooooBoooooooooCCDDoooEEo", "size": 6, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooAAoBoooooBoooooooooCCDDoooEEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "ooBCCCDoBEEEDFoGGGHFAAIoHFoJIKoooJoK", "size": 6, "moves": 2, "solution": ["Iv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBCCCDoBEEEDFoGGGHFAAIoHFoJIKoooJoK\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nIv1,A>2\n"]}} {"board": "ooooooooooooooAAoBoCoooBoCDooBooDEEo", "size": 6, "moves": 2, "solution": ["Bv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooooooAAoBoCoooBoCDooBooDEEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "oooooooooAABoooooBoCoooBoCoooooCoooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooAABoooooBoCoooBoCoooooCoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>1\n"]}} {"board": "oAABoooCCBDDoooBooEFGoooEFGHHHEFGooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAABoooCCBDDoooBooEFGoooEFGHHHEFGooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "ooooooBBBooooooooooAAooCoooooCDDDooC", "size": 6, "moves": 2, "solution": ["C^3", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooBBBooooooooooAAooCoooooCDDDooC\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^3,A>3\n"]}} {"board": "oBBBoCoAAooCoDoEoCoDoEoooooFFooooGGG", "size": 6, "moves": 2, "solution": ["Cv2", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBoCoAAooCoDoEoCoDoEoooooFFooooGGG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,A>3\n"]}} {"board": "ooAABoooooBooooooCooooDCooooDCooooDo", "size": 6, "moves": 2, "solution": ["Bv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAABoooooBooooooCooooDCooooDCooooDo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "ooooooBooooCBooAACBooDDCooooEoooooEo", "size": 6, "moves": 2, "solution": ["Cv2", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooBooooCBooAACBooDDCooooEoooooEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,A>1\n"]}} {"board": "BBBooCoooooCooooooooooooAAoooDoooooD", "size": 6, "moves": 2, "solution": ["D^2", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBooCoooooCooooooooooooAAoooDoooooD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,A>4\n"]}} {"board": "BoAAoCBDDDoCEoooooEoooFoEoooFGooHHFG", "size": 6, "moves": 2, "solution": ["Cv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoAAoCBDDDoCEoooooEoooFoEoooFGooHHFG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>2\n"]}} {"board": "oooBBBoooCoooAACoooDDoooEEEoFFoGGGoo", "size": 6, "moves": 2, "solution": ["Cv2", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBoooCoooAACoooDDoooEEEoFFoGGGoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,A>3\n"]}} {"board": "oooooooooooooooooooAABooCDoBooCDoooo", "size": 6, "moves": 2, "solution": ["B^2", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooooooooooAABooCDoBooCDoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^2,A>3\n"]}} {"board": "ooooooAAoBoooooBCCoooBDoooEoDoooEFFF", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooAAoBoooooBCCoooBDoooEoDoooEFFF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "ooooooooBoooooBoooooBooooooooCoooAAC", "size": 6, "moves": 2, "solution": ["C^1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooBoooooBoooooBooooooooCoooAAC\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>1\n"]}} {"board": "oooooooooooBCooDoBCAADooCooEEEooFFoo", "size": 6, "moves": 2, "solution": ["D^1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooBCooDoBCAADooCooEEEooFFoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>3\n"]}} {"board": "AAoooBoooooBCCCoooDEFFGGDEooooDEoooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoooBoooooBCCCoooDEFFGGDEooooDEoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oooooBoAAooBoooooBooCCDoooooDooEEoDo", "size": 6, "moves": 2, "solution": ["Bv2", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoAAooBoooooBooCCDoooooDooEEoDo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>3\n"]}} {"board": "ooooooooooBooCCCBooAAoBooooooooooooo", "size": 6, "moves": 2, "solution": ["B^1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooBooCCCBooAAoBooooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,A>3\n"]}} {"board": "oooooBoooAABoooooooooCoooooCoDoooCoD", "size": 6, "moves": 2, "solution": ["Bv2", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoooAABoooooooooCoooooCoDoooCoD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>1\n"]}} {"board": "AAoooBoooooBooooooooooCoooooCoDDDoCo", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoooBoooooBooooooooooCoooooCoDDDoCo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oAAoBoooooBoooooBoooooooCCCoooooDDDo", "size": 6, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAoBoooooBoooooBoooooooCCCoooooDDDo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "ooooooAAooBoooooBooCoDBoECoDooECoDFF", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooAAooBoooooBooCoDBoECoDooECoDFF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oooooBooAAoBoCCooBoooooooooooooooooo", "size": 6, "moves": 2, "solution": ["Bv2", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBooAAoBoCCooBoooooooooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>2\n"]}} {"board": "oooooooBooooCBoooDCAAooDooEEEooooFFo", "size": 6, "moves": 2, "solution": ["D^1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooBooooCBoooDCAAooDooEEEooooFFo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>3\n"]}} {"board": "oooooooooBBBAAoooCoDoooCoDoooCoDoooo", "size": 6, "moves": 2, "solution": ["Cv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBBBAAoooCoDoooCoDoooCoDoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>4\n"]}} {"board": "BoooooBoooCoBAAoCooooooooooDDDoooooo", "size": 6, "moves": 2, "solution": ["C^1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoooooBoooCoBAAoCooooooooooDDDoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>3\n"]}} {"board": "ooooBCooooBCooooBoDEAAoFDEoooFoooooo", "size": 6, "moves": 2, "solution": ["Fv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBCooooBCooooBoDEAAoFDEoooFoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nFv1,A>2\n"]}} {"board": "AAooBoooooBoooooooooCCoooooooooooDDo", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAooBoooooBoooooooooCCoooooooooooDDo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "ooooBoooAABooooooooCoooooCoDDooooooo", "size": 6, "moves": 2, "solution": ["Bv2", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoooAABooooooooCoooooCoDDooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>2\n"]}} {"board": "ooooooBBBoooooooooCoooDoCoAADoooooDo", "size": 6, "moves": 2, "solution": ["D^2", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooBBBoooooooooCoooDoCoAADoooooDo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,A>2\n"]}} {"board": "oooooooAAoBoooCoBoooCoBoooCooooooooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooAAoBoooCoBoooCoBoooCooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "oBBBooCoooooCoAADoooEEDoFFFGGGHHoIIo", "size": 6, "moves": 2, "solution": ["D^2", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBooCoooooCoAADoooEEDoFFFGGGHHoIIo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,A>2\n"]}} {"board": "oBBBoCDoAAoCDooEEoDFooGooFooGHoFooGH", "size": 6, "moves": 2, "solution": ["Cv2", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBoCDoAAoCDooEEoDFooGooFooGHoFooGH\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,A>2\n"]}} {"board": "BoooooBoooooBooooooooAACDooooCDooooC", "size": 6, "moves": 2, "solution": ["C^3", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoooooBoooooBooooooooAACDooooCDooooC\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^3,A>1\n"]}} {"board": "AABoooooBoooooBooooooCCCoDEooooDEooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AABoooooBoooooBooooooCCCoDEooooDEooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "ooAAoBCCCooBDoEEFBDoooFoDoGGGooooooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAAoBCCCooBDoEEFBDoooFoDoGGGooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "BoooooBoooCooAAoCoooooCooooooooooooo", "size": 6, "moves": 2, "solution": ["Cv2", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoooooBoooCooAAoCoooooCooooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,A>3\n"]}} {"board": "ooooooooooooooBoooCoBDooCooDoECooAAE", "size": 6, "moves": 2, "solution": ["E^1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooooooBoooCoBDooCooDoECooAAE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,A>1\n"]}} {"board": "AAoooBCooooBCoooooCDDDoooEFooooEFGGG", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoooBCooooBCoooooCDDDoooEFooooEFGGG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oooooooooooooBCooooBCoooAACooooooooo", "size": 6, "moves": 2, "solution": ["C^1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooooBCooooBCoooAACooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>4\n"]}} {"board": "oooooBooAAoBooooooCDEFFoCDEooooDooGG", "size": 6, "moves": 2, "solution": ["Bv2", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBooAAoBooooooCDEFFoCDEooooDooGG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>2\n"]}} {"board": "AAoooBoooooBoooooBoooooooooooooooCCC", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoooBoooooBoooooBoooooooooooooooCCC\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oooooBooAAoBCoDooBCoDEEoooFFFoGGGoHH", "size": 6, "moves": 2, "solution": ["Bv2", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBooAAoBCoDooBCoDEEoooFFFoGGGoHH\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>2\n"]}} {"board": "oooooBoooAABoooooBooCCooDDoEEooooooo", "size": 6, "moves": 2, "solution": ["Bv2", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoooAABoooooBooCCooDDoEEooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>1\n"]}} {"board": "oooBoooooBoooAABooooooCCooooDDoooooo", "size": 6, "moves": 2, "solution": ["Bv3", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoooooBoooAABooooooCCooooDDoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv3,A>3\n"]}} {"board": "AABoooooBoCCoooDDoEoFGGGEHFIIIEHFoJJ", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AABoooooBoCCoooDDoEoFGGGEHFIIIEHFoJJ\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oooooooBoooooBoooooBAACoDDooCoooooCo", "size": 6, "moves": 2, "solution": ["C^3", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooBoooooBoooooBAACoDDooCoooooCo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^3,A>2\n"]}} {"board": "ooooBoooooBoooAABoCCoooDoooooDooEEoD", "size": 6, "moves": 2, "solution": ["Bv3", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoooooBoooAABoCCoooDoooooDooEEoD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv3,A>2\n"]}} {"board": "oooooBooAAoBCCCDDooEEEFoooooFooGGoFo", "size": 6, "moves": 2, "solution": ["Bv2", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBooAAoBCCCDDooEEEFoooooFooGGoFo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>2\n"]}} {"board": "oBBBoooCoDooECoDoFECoDGFEoooGooAAoGo", "size": 6, "moves": 2, "solution": ["G^1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBoooCoDooECoDoFECoDGFEoooGooAAoGo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nG^1,A>3\n"]}} {"board": "oooBoooooBooooooooCCCooDoooAADoooooo", "size": 6, "moves": 2, "solution": ["D^1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoooooBooooooooCCCooDoooAADoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>1\n"]}} {"board": "oAABoooooBoooCCoooooooDoooooDoooooDo", "size": 6, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAABoooooBoooCCoooooooDoooooDoooooDo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "oooBBBCCCooooooAADoEEoFDooooFDGGGooo", "size": 6, "moves": 2, "solution": ["Dv1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBCCCooooooAADoEEoFDooooFDGGGooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,A>1\n"]}} {"board": "ooAAoBCCCDDBooEEoBooFFGoooooGoHHHoGo", "size": 6, "moves": 2, "solution": ["Bv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAAoBCCCDDBooEEoBooFFGoooooGoHHHoGo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "ooooooooooBooAAoBooCoooDoCoooDoCoooo", "size": 6, "moves": 2, "solution": ["B^1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooBooAAoBooCoooDoCoooDoCoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,A>3\n"]}} {"board": "ooAAoBoooooBooooooCoooooCDEFFoCDEooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAAoBoooooBooooooCoooooCDEFFoCDEooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "oooBoooooBooooCBooAACoooDDoooooooooo", "size": 6, "moves": 2, "solution": ["C^1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoooooBooooCBooAACoooDDoooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>4\n"]}} {"board": "oooooooooooooooooooBooCooBAACoooooCo", "size": 6, "moves": 2, "solution": ["C^2", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooooooooooBooCooBAACoooooCo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>2\n"]}} {"board": "BBBooCoooooCooAAoCooooooooDoooooDooo", "size": 6, "moves": 2, "solution": ["Cv3", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBooCoooooCooAAoCooooooooDoooooDooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv3,A>2\n"]}} {"board": "ooooBoAAooBoooooooooooooCDDDooCooooo", "size": 6, "moves": 2, "solution": ["Bv2", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoAAooBoooooooooooooCDDDooCooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>4\n"]}} {"board": "BoooooBoooooooooCooDooCooDoAAEoDoFFE", "size": 6, "moves": 2, "solution": ["E^2", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoooooBoooooooooCooDooCooDoAAEoDoFFE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^2,A>1\n"]}} {"board": "AAoBoooooBCCDoooooDoooooDooooooooooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoBoooooBCCDoooooDoooooDooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "ooooooooAABooCCoBoooooooDDDooooooooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooAABooCCoBoooooooDDDooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "BCCCDoBEooDoBEooDooFFFoGoooAAGooHHoG", "size": 6, "moves": 2, "solution": ["G^2", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BCCCDoBEooDoBEooDooFFFoGoooAAGooHHoG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nG^2,A>1\n"]}} {"board": "BoooooBooooCBoAAoCDDDEEEoFFoGGoHHooo", "size": 6, "moves": 2, "solution": ["C^1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoooooBooooCBoAAoCDDDEEEoFFoGGoHHooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>2\n"]}} {"board": "ooBBBoooCoooooCDDDooooooooooEoAAooEo", "size": 6, "moves": 2, "solution": ["E^1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBoooCoooooCDDDooooooooooEoAAooEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,A>4\n"]}} {"board": "BooAACBDDDoCBoEEECooooFoGGGoFHoooooH", "size": 6, "moves": 2, "solution": ["Cv1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BooAACBDDDoCBoEEECooooFoGGGoFHoooooH\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>1\n"]}} {"board": "ooooooAABoooooBCCCooBooDEooooDEooooD", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooAABoooooBCCCooBooDEooooDEooooD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oooooBCCCooBoooooBoDDDEooFooEGoFoAAG", "size": 6, "moves": 2, "solution": ["G^1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBCCCooBoooooBoDDDEooFooEGoFoAAG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nG^1,A>1\n"]}} {"board": "oooBBBCooDDDCEoAAFCEoooFoooooFoooooo", "size": 6, "moves": 2, "solution": ["Fv1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBCooDDDCEoAAFCEoooFoooooFoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nFv1,A>1\n"]}} {"board": "oBBBooooooCoDDDoCoEEEooFooGGGFooAAoF", "size": 6, "moves": 2, "solution": ["F^1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBooooooCoDDDoCoEEEooFooGGGFooAAoF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,A>2\n"]}} {"board": "oooooooooooooBooCooBooCoooAACoooooDD", "size": 6, "moves": 2, "solution": ["C^1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooooBooCooBooCoooAACoooooDD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>2\n"]}} {"board": "oooBooooCBooooCDDDEAAooFEoGGoFEoHHHo", "size": 6, "moves": 2, "solution": ["Fv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBooooCBooooCDDDEAAooFEoGGoFEoHHHo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nFv1,A>3\n"]}} {"board": "oBoooooBoCoooooCooAAoDoooooDoooooooo", "size": 6, "moves": 2, "solution": ["Dv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoooooBoCoooooCooAAoDoooooDoooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,A>4\n"]}} {"board": "oooBBBCCCooDoooAADooooEDFFooEoooooEo", "size": 6, "moves": 2, "solution": ["Dv2", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBCCCooDoooAADooooEDFFooEoooooEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv2,A>1\n"]}} {"board": "AABoooooBoooooBoooCCoooooDoooooDoooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AABoooooBoooooBoooCCoooooDoooooDoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oooBooAAoBooCCoBoDoEEooDFoGooDFoGooo", "size": 6, "moves": 2, "solution": ["Bv2", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBooAAoBooCCoBoDoEEooDFoGooDFoGooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>4\n"]}} {"board": "oBoooooBoAACoBooDCEFFoDCEGooooEGHHoo", "size": 6, "moves": 2, "solution": ["Cv1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoooooBoAACoBooDCEFFoDCEGooooEGHHoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>1\n"]}} {"board": "oAAooBCDoooBCDooEoCDooEoFGGGooFooHHH", "size": 6, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAooBCDoooBCDooEoCDooEoFGGGooFooHHH\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "ooooooooooooooooBoooCoBDooCAADooCooD", "size": 6, "moves": 2, "solution": ["D^2", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooooooooBoooCoBDooCAADooCooD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,A>1\n"]}} {"board": "BoAACoBoooCoooooCoooooooooooooooooDD", "size": 6, "moves": 2, "solution": ["Cv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoAACoBoooCoooooCoooooooooooooooooDD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>2\n"]}} {"board": "oBBBooooooooooooooooooCoooooCoAAooCo", "size": 6, "moves": 2, "solution": ["C^1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBooooooooooooooooooCoooooCoAAooCo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>4\n"]}} {"board": "BooCCCBoAADoBEEEDoFFoGoooooGHHIIoGJJ", "size": 6, "moves": 2, "solution": ["Dv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BooCCCBoAADoBEEEDoFFoGoooooGHHIIoGJJ\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,A>2\n"]}} {"board": "BBBoooooooooooooooAAoooCoooooCDDoooo", "size": 6, "moves": 2, "solution": ["C^2", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBoooooooooooooooAAoooCoooooCDDoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>4\n"]}} {"board": "ooAAoBooCooBoDCooBoDCEoooooEoFGGGEoF", "size": 6, "moves": 2, "solution": ["Bv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAAoBooCooBoDCooBoDCEoooooEoFGGGEoF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "oooooooooooooAAooBoooooBooCoooooCDDD", "size": 6, "moves": 2, "solution": ["B^2", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooooAAooBoooooBooCoooooCDDD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^2,A>3\n"]}} {"board": "oBCoDoEBCoDFEBCoDFEoAAoGHHoIJGoooIJo", "size": 6, "moves": 2, "solution": ["Gv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBCoDoEBCoDFEBCoDFEoAAoGHHoIJGoooIJo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nGv1,A>2\n"]}} {"board": "ooooooooooooAAoBooCooBooCoooooCooooo", "size": 6, "moves": 2, "solution": ["B^2", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooooAAoBooCooBooCoooooCooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^2,A>4\n"]}} {"board": "ooooooooAAoBoooooBooooCBooooCooooooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooAAoBoooooBooooCBooooCooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "ooBBBoooooooCoooooCoooDoAAooDoooooDo", "size": 6, "moves": 2, "solution": ["D^2", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBoooooooCoooooCoooDoAAooDoooooDo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,A>4\n"]}} {"board": "ooooooooooooAAoooBCoooDBCoooDBoEEEDo", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooooAAoooBCoooDBCoooDBoEEEDo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "ooooBooCCCBoooooBooooooDooAAoDoEEooD", "size": 6, "moves": 2, "solution": ["D^2", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBooCCCBoooooBooooooDooAAoDoEEooD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,A>2\n"]}} {"board": "ooBBBoCooDooCooDoEooAAoEooFooEooFooo", "size": 6, "moves": 2, "solution": ["E^2", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBoCooDooCooDoEooAAoEooFooEooFooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^2,A>2\n"]}} {"board": "ooooBCooDEBCooDEoCAAoEooFFGGHHIIIJJJ", "size": 6, "moves": 2, "solution": ["E^1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBCooDEBCooDEoCAAoEooFFGGHHIIIJJJ\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,A>4\n"]}} {"board": "oBCooooBCAADEECooDFGHHooFGoIIIFGoooo", "size": 6, "moves": 2, "solution": ["Dv1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBCooooBCAADEECooDFGHHooFGoIIIFGoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,A>1\n"]}} {"board": "BCCCoDBoAAoDoooooDoooooooooEEooooFFF", "size": 6, "moves": 2, "solution": ["Dv2", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BCCCoDBoAAoDoooooDoooooooooEEooooFFF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv2,A>2\n"]}} {"board": "oooBoooAABoooooooooCoooDoCoooDoCoooo", "size": 6, "moves": 2, "solution": ["Bv2", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoooAABoooooooooCoooDoCoooDoCoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>3\n"]}} {"board": "BooAACBooDECoFoDEooFGDHHoFGIIIJJGKKK", "size": 6, "moves": 2, "solution": ["Cv1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BooAACBooDECoFoDEooFGDHHoFGIIIJJGKKK\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>1\n"]}} {"board": "ooBoooooBooooCCCooDAAoEoDoooEoDFFFEo", "size": 6, "moves": 2, "solution": ["E^3", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoooooBooooCCCooDAAoEoDoooEoDFFFEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^3,A>3\n"]}} {"board": "oooBoooooBoooooBoooooooCooAAoCoooooC", "size": 6, "moves": 2, "solution": ["C^2", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoooooBoooooBoooooooCooAAoCoooooC\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>2\n"]}} {"board": "oooooooBoooooBooooCBAAoDCooooDCoEEoD", "size": 6, "moves": 2, "solution": ["D^3", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooBoooooBooooCBAAoDCooooDCoEEoD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^3,A>2\n"]}} {"board": "BoCDDDBoCoooBoCEoooFoEoGoFoEoGooAAoG", "size": 6, "moves": 2, "solution": ["G^1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoCDDDBoCoooBoCEoooFoEoGoFoEoGooAAoG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nG^1,A>2\n"]}} {"board": "oBCooooBCoDooBooDEooooDEooAAoEoooFFF", "size": 6, "moves": 2, "solution": ["E^1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBCooooBCoDooBooDEooooDEooAAoEoooFFF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,A>2\n"]}} {"board": "ooooBooCCCBoooooooooooDoEEEoDFoooAAF", "size": 6, "moves": 2, "solution": ["F^1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBooCCCBoooooooooooDoEEEoDFoooAAF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,A>1\n"]}} {"board": "ooBooCooBAACDoBooCDEooooDEoooooEoooo", "size": 6, "moves": 2, "solution": ["Cv2", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBooCooBAACDoBooCDEooooDEoooooEoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,A>1\n"]}} {"board": "oBoooooBoooCDBooECDoooECooAAEooFFooo", "size": 6, "moves": 2, "solution": ["E^1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoooooBoooCDBooECDoooECooAAEooFFooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,A>2\n"]}} {"board": "oooooooooBBBoAAoCoDDDoCoooEEoooFFooo", "size": 6, "moves": 2, "solution": ["Cv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBBBoAAoCoDDDoCoooEEoooFFooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>3\n"]}} {"board": "ooBBBCoooooCAAoooCooDEEoooDooooooooo", "size": 6, "moves": 2, "solution": ["Cv3", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBCoooooCAAoooCooDEEoooDooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv3,A>4\n"]}} {"board": "oooBooooCBooooCBoooooooDooAAoDoooooo", "size": 6, "moves": 2, "solution": ["D^1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBooooCBooooCBoooooooDooAAoDoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>2\n"]}} {"board": "ooooooBoCoooBoCoDoBoAADooooooooooooo", "size": 6, "moves": 2, "solution": ["D^1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooBoCoooBoCoDoBoAADooooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>2\n"]}} {"board": "ooAABooCDoBooCDoBoECooooEoooooEFFGGG", "size": 6, "moves": 2, "solution": ["Bv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAABooCDoBooCDoBoECooooEoooooEFFGGG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "ooBoooooBooooCBooooCoooDoCAAoDoooooD", "size": 6, "moves": 2, "solution": ["D^2", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoooooBooooCBooooCoooDoCAAoDoooooD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,A>2\n"]}} {"board": "ooBBBooooooooAAooCDEFFFCDEGGHIDEooHI", "size": 6, "moves": 2, "solution": ["C^2", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBooooooooAAooCDEFFFCDEGGHIDEooHI\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>3\n"]}} {"board": "AAoooBCoDDoBCooEoBCooEFooooEFoooooFo", "size": 6, "moves": 2, "solution": ["Bv1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoooBCoDDoBCooEoBCooEFooooEFoooooFo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "ooAABoCCCoBoDoooooDEEoooDoFFoooooooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAABoCCCoBoDoooooDEEoooDoFFoooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "ooAABoooooBooooooooCDooooCDooooCDooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAABoooooBooooooooCDooooCDooooCDooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "ooAAoBoooooBoooooooCooDDoCoooooCoooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAAoBoooooBoooooooCooDDoCoooooCoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "ooAAoBoCoooBoCooooDoooooDooEEoFFFooo", "size": 6, "moves": 2, "solution": ["Bv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAAoBoCoooBoCooooDoooooDooEEoFFFooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "oooooBoAAooBooooooooooooooooooCCoDDo", "size": 6, "moves": 2, "solution": ["Bv2", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoAAooBooooooooooooooooooCCoDDo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>3\n"]}} {"board": "ooooooBCDDDoBCoooEoooAAEooooooooooFF", "size": 6, "moves": 2, "solution": ["E^1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooBCDDDoBCoooEoooAAEooooooooooFF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,A>1\n"]}} {"board": "ooBBBoooooCoooooCooooooDoooooDoooAAD", "size": 6, "moves": 2, "solution": ["D^1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBoooooCoooooCooooooDoooooDoooAAD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>1\n"]}} {"board": "ooooBoooooBoCCCoBooooDooAAoDoooooooo", "size": 6, "moves": 2, "solution": ["D^1", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoooooBoCCCoBooooDooAAoDoooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>4\n"]}} {"board": "oooooBoooooBAAoooBoooooooCCooooooooo", "size": 6, "moves": 2, "solution": ["Bv3", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoooooBAAoooBoooooooCCooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv3,A>4\n"]}} {"board": "oooAABoooCCBoDoooooDoEFFoDGEooooGEHH", "size": 6, "moves": 2, "solution": ["Bv1", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooAABoooCCBoDoooooDoEFFoDGEooooGEHH\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>1\n"]}} {"board": "oooBBBooAAoCooDDoCEoFooCEoFoooEoFGGG", "size": 6, "moves": 2, "solution": ["Cv1", "A>2"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBooAAoCooDDoCEoFooCEoFoooEoFGGG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>2\n"]}} {"board": "oAAoBoCoDDBECooFBECGGFoEHHoFIIoooJJJ", "size": 6, "moves": 2, "solution": ["Bv1", "A>3"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAoBoCoDDBECooFBECGGFoEHHoFIIoooJJJ\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "ooooooooBBBoooooooooooCoooAACoDDooCo", "size": 6, "moves": 3, "solution": ["B<1", "C^2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooBBBoooooooooooCoooAACoDDooCo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,C^2,A>2\n"]}} {"board": "oooBoooAABoCoooBoCoDDDooEEEoooooFFFo", "size": 6, "moves": 4, "solution": ["Cv1", "D<1", "Bv2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoooAABoCoooBoCoDDDooEEEoooooFFFo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,D<1,Bv2,A>3\n"]}} {"board": "oooooBoooAABooCoDooECoDFoECGoFoEoGoo", "size": 6, "moves": 3, "solution": ["Fv1", "Bv2", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoooAABooCoDooECoDFoECGoFoEoGoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nFv1,Bv2,A>1\n"]}} {"board": "ooooooooAABoooooBooooCCooDoooooDoooo", "size": 6, "moves": 3, "solution": ["C<1", "Bv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooAABoooooBooooCCooDoooooDoooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,Bv1,A>2\n"]}} {"board": "oooooooooAABoooooBCCoDDDooooooooEEEo", "size": 6, "moves": 3, "solution": ["D<1", "Bv1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooAABoooooBCCoDDDooooooooEEEo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv1,A>1\n"]}} {"board": "oooooooooBooooCBooAACBooooCooDoEEEoD", "size": 6, "moves": 3, "solution": ["B^1", "C^2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBooooCBooAACBooooCooDoEEEoD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,C^2,A>4\n"]}} {"board": "BoooooBooooooooooooooCoooAACDooooCDo", "size": 6, "moves": 3, "solution": ["C^2", "D^2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoooooBooooooooooooooCoooAACDooooCDo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,D^2,A>3\n"]}} {"board": "oooooooooBooAAoBCDooooCDoEEooDoooooo", "size": 6, "moves": 4, "solution": ["B^1", "C^2", "Dv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBooAAoBCDooooCDoEEooDoooooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,C^2,Dv1,A>4\n"]}} {"board": "BAAoCDBEEECDBoooFFGoHoooGIHJJJGIHoKK", "size": 6, "moves": 4, "solution": ["F<2", "Cv1", "Cv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BAAoCDBEEECDBoooFFGoHoooGIHJJJGIHoKK\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<2,Cv1,Cv1,A>3\n"]}} {"board": "ooooooBBBCoooooCooDAACoEDFFooEDooooE", "size": 6, "moves": 3, "solution": ["C^1", "E^3", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooBBBCoooooCooDAACoEDFFooEDooooE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,E^3,A>3\n"]}} {"board": "ooAABCDDooBCooEEBCoFGoooHFGIIIHFGooo", "size": 6, "moves": 3, "solution": ["Bv1", "Bv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAABCDDooBCooEEBCoFGoooHFGIIIHFGooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>2\n"]}} {"board": "ooooooooooBCooAABCooooBoooDDDooooooo", "size": 6, "moves": 4, "solution": ["C^1", "D<1", "Cv2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooBCooAABCooooBoooDDDooooooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D<1,Cv2,A>2\n"]}} {"board": "oooBoCAAoBoCoooooCoooooooooooooooDDD", "size": 6, "moves": 3, "solution": ["Bv2", "Bv2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoCAAoBoCoooooCoooooooooooooooDDD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,Bv2,A>4\n"]}} {"board": "AAoBoooooBoooooCCoDDDoEFooGGEFooooEo", "size": 6, "moves": 3, "solution": ["C<2", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoBoooooBoooooCCoDDDoEFooGGEFooooEo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,Bv1,A>4\n"]}} {"board": "oBBBoCoDDDoCEoFFFoEGooHooGAAHoooIIJJ", "size": 6, "moves": 3, "solution": ["F<1", "H^1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBoCoDDDoCEoFFFoEGooHooGAAHoooIIJJ\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,H^1,A>2\n"]}} {"board": "oooBBBoCooDEFCGoDEFCGoDoooAAoHooIIoH", "size": 6, "moves": 4, "solution": ["B<1", "E^1", "H^2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBoCooDEFCGoDEFCGoDoooAAoHooIIoH\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,E^1,H^2,A>2\n"]}} {"board": "AABoooooBooooCCooDEEoooDooFFFDoooooo", "size": 6, "moves": 3, "solution": ["C<1", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AABoooooBooooCCooDEEoooDooFFFDoooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,Bv1,A>4\n"]}} {"board": "oooooBoooAABooCCoBDoooooDoooEEDooooo", "size": 6, "moves": 3, "solution": ["E<1", "Bv2", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoooAABooCCoBDoooooDoooEEDooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv2,A>1\n"]}} {"board": "oAABoooooBoooooBooCooDDECoFFoEoGGooE", "size": 6, "moves": 3, "solution": ["D<2", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAABoooooBoooooBooCooDDECoFFoEoGGooE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<2,Bv1,A>3\n"]}} {"board": "AAooBooCCCBoooDDDooooooooEEFFoooooGG", "size": 6, "moves": 3, "solution": ["D<1", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAooBooCCCBoooDDDooooooooEEFFoooooGG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv1,A>4\n"]}} {"board": "oBBBoooooooooooCCCoDoAAEoDFFoEoDGGoE", "size": 6, "moves": 3, "solution": ["C<1", "E^3", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBoooooooooooCCCoDoAAEoDFFoEoDGGoE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,E^3,A>1\n"]}} {"board": "ooooooBoCoooBoCooDBoCEFDooGEFDAAGoFo", "size": 6, "moves": 4, "solution": ["C^1", "F^1", "G^1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooBoCoooBoCooDBoCEFDooGEFDAAGoFo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,F^1,G^1,A>4\n"]}} {"board": "ooooooooooooBoCoooBoCoDEBoooDEAAooDE", "size": 6, "moves": 3, "solution": ["D^1", "E^1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooooBoCoooBoCoDEBoooDEAAooDE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E^1,A>4\n"]}} {"board": "ooBoooooBCooooBCoDAAoCoDooooEEoooooo", "size": 6, "moves": 3, "solution": ["C^1", "D^1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoooooBCooooBCoDAAoCoDooooEEoooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^1,A>4\n"]}} {"board": "oooooBoooooBoooooooooCDooAACDooooCDo", "size": 6, "moves": 3, "solution": ["C^2", "D^2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoooooBoooooooooCDooAACDooooCDo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,D^2,A>3\n"]}} {"board": "ooooBoAAooBoCCooBoDoEEEoDoFFFoDooooo", "size": 6, "moves": 4, "solution": ["E<1", "F<1", "Bv2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoAAooBoCCooBoDoEEEoDoFFFoDooooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,F<1,Bv2,A>4\n"]}} {"board": "AABCooooBCooooBCooooooooooDDEEoooooo", "size": 6, "moves": 3, "solution": ["Bv1", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AABCooooBCooooBCooooooooooDDEEoooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>4\n"]}} {"board": "oBooCooBoDCooBoDCEoAADoEooFFoEoooooo", "size": 6, "moves": 3, "solution": ["D^1", "E^2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBooCooBoDCooBoDCEoAADoEooFFoEoooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E^2,A>3\n"]}} {"board": "oooBBBCDooEoCDAAEoCoooFFoGGHHooIIIoo", "size": 6, "moves": 3, "solution": ["B<2", "E^1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBCDooEoCDAAEoCoooFFoGGHHooIIIoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,E^1,A>2\n"]}} {"board": "oAABCDoEEBCDoooBCDoooooooooFFFoooooo", "size": 6, "moves": 4, "solution": ["Bv1", "Bv1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAABCDoEEBCDoooBCDoooooooooFFFoooooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,Bv1,A>3\n"]}} {"board": "oooBBBoooCCCooDoooooDEEEooDooFooAAoF", "size": 6, "moves": 4, "solution": ["D^2", "E<1", "F^1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBoooCCCooDoooooDEEEooDooFooAAoF\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,E<1,F^1,A>2\n"]}} {"board": "BoooCoBoooCoBAAoCoDoooooDoEEEoDooooo", "size": 6, "moves": 3, "solution": ["E<1", "Cv3", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoooCoBoooCoBAAoCoDoooooDoEEEoDooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Cv3,A>3\n"]}} {"board": "BooCooBAACooBoooDDooEEFFGoooooGHHIIo", "size": 6, "moves": 3, "solution": ["E<1", "Cv2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BooCooBAACooBoooDDooEEFFGoooooGHHIIo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Cv2,A>3\n"]}} {"board": "AAoBooCCoBoooDDDoEFGHHHEFGoIIoFGooJJ", "size": 6, "moves": 3, "solution": ["D<1", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoBooCCoBoooDDDoEFGHHHEFGoIIoFGooJJ\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv1,A>4\n"]}} {"board": "oooBBBooooooCoooooCAAooDCoEEoDoooFFD", "size": 6, "moves": 3, "solution": ["B<1", "D^3", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBooooooCoooooCAAooDCoEEoDoooFFD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,D^3,A>3\n"]}} {"board": "ooooooooooBooAAoBooCCCBooooDDooooooo", "size": 6, "moves": 3, "solution": ["D<1", "Bv2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooBooAAoBooCCCBooooDDooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv2,A>3\n"]}} {"board": "ooooooooBooCAABooCoDBoEEoDoFFFoDGGGo", "size": 6, "moves": 4, "solution": ["C^1", "G>1", "Cv2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooBooCAABooCoDBoEEoDoFFFoDGGGo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,G>1,Cv2,A>4\n"]}} {"board": "oBBBooCAAoDECoFoDEooFoooGHHIIIGooooo", "size": 6, "moves": 3, "solution": ["Dv1", "Dv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBooCAAoDECoFoDEooFoooGHHIIIGooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,Dv1,A>3\n"]}} {"board": "AAoooBCCoooBDDooEEFGoHHIFGoooIFGoooI", "size": 6, "moves": 3, "solution": ["E<1", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoooBCCoooBDDooEEFGoHHIFGoooIFGoooI\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv1,A>4\n"]}} {"board": "oooooooBoooooBoooooBCCCoooooDoAAooDo", "size": 6, "moves": 4, "solution": ["B^1", "C<1", "D^1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooBoooooBoooooBCCCoooooDoAAooDo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,C<1,D^1,A>4\n"]}} {"board": "oooooooooooBoooCoBoooCooAAoCoDooEEED", "size": 6, "moves": 4, "solution": ["B^1", "C^1", "D^2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooBoooCoBoooCooAAoCoDooEEED\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,C^1,D^2,A>4\n"]}} {"board": "BBBoCoooooCooAAoCooooDDoEEoFoGoHHFoG", "size": 6, "moves": 3, "solution": ["D<1", "Cv3", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBoCoooooCooAAoCooooDDoEEoFoGoHHFoG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Cv3,A>3\n"]}} {"board": "BCCCooBooDDDBEooFoGEAAFoGHHoFIGooJJI", "size": 6, "moves": 3, "solution": ["D<2", "F^2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BCCCooBooDDDBEooFoGEAAFoGHHoFIGooJJI\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<2,F^2,A>2\n"]}} {"board": "oooBBBoCCCDEoAAoDEFooGGGFHHoooFoIIIo", "size": 6, "moves": 4, "solution": ["B<2", "D^1", "E^1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBoCCCDEoAAoDEFooGGGFHHoooFoIIIo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,D^1,E^1,A>3\n"]}} {"board": "oooooooooBBBoCCCoDoooooDoooAADoooooo", "size": 6, "moves": 3, "solution": ["B<1", "D^1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBBBoCCCoDoooooDoooAADoooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,D^1,A>1\n"]}} {"board": "ooBoooAABooooCBooooCooooooDDDooEEEFF", "size": 6, "moves": 3, "solution": ["D>1", "Bv2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoooAABooooCBooooCooooooDDDooEEEFF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD>1,Bv2,A>4\n"]}} {"board": "ooooBoooAABoCCooDDooEEoFooooGFooooGF", "size": 6, "moves": 3, "solution": ["D<2", "Bv2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoooAABoCCooDDooEEoFooooGFooooGF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<2,Bv2,A>2\n"]}} {"board": "oBCDDDoBCEEEoBAAFoGHHoFIGJJoFIGoKKKo", "size": 6, "moves": 3, "solution": ["K<1", "Fv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBCDDDoBCEEEoBAAFoGHHoFIGJJoFIGoKKKo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nK<1,Fv1,A>2\n"]}} {"board": "oBoooCoBoAACoBoooCDDDEEooooFFFoGGGoo", "size": 6, "moves": 3, "solution": ["F<1", "Cv2", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoooCoBoAACoBoooCDDDEEooooFFFoGGGoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Cv2,A>1\n"]}} {"board": "oBBBCooAAoCoooDDCoooEEEooooFFFoooooo", "size": 6, "moves": 4, "solution": ["E<1", "F<2", "Cv2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBCooAAoCoooDDCoooEEEooooFFFoooooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,F<2,Cv2,A>3\n"]}} {"board": "ooooBoooooBCooooBCoooooDoEEEoDAAoooD", "size": 6, "moves": 3, "solution": ["C^1", "D^1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoooooBCooooBCoooooDoEEEoDAAoooD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^1,A>4\n"]}} {"board": "oBBBoCoDoooCEDFGoCEDFGooooFGHIoAAoHI", "size": 6, "moves": 3, "solution": ["H^1", "I^1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBoCoDoooCEDFGoCEDFGooooFGHIoAAoHI\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nH^1,I^1,A>3\n"]}} {"board": "ooooooooooBoAACoBoooCoBoooCDoooooDoo", "size": 6, "moves": 3, "solution": ["Bv2", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooBoAACoBoooCoBoooCDoooooDoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,Bv1,A>4\n"]}} {"board": "oooooooBoooooBoooooooCDooooCDooAACDo", "size": 6, "moves": 3, "solution": ["C^1", "D^1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooBoooooBoooooooCDooooCDooAACDo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^1,A>3\n"]}} {"board": "oooooooooBBBoooooooCooDEoCAADEooooDo", "size": 6, "moves": 4, "solution": ["B<2", "D^2", "E^1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBBBoooooooCooDEoCAADEooooDo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,D^2,E^1,A>2\n"]}} {"board": "ooooooooooBoooCoBoAACoBooooDDDoooooo", "size": 6, "moves": 3, "solution": ["B^1", "C^1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooBoooCoBoAACoBooooDDDoooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,C^1,A>4\n"]}} {"board": "oooooooooBoCDooBoCDooBoEoAAooEoooFFo", "size": 6, "moves": 3, "solution": ["C^1", "E^1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBoCDooBoCDooBoEoAAooEoooFFo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,E^1,A>3\n"]}} {"board": "oBBBoooooooooooooooooCCCDoAAEoDFFFEo", "size": 6, "moves": 3, "solution": ["C<2", "E^2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBoooooooooooooooooCCCDoAAEoDFFFEo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,E^2,A>2\n"]}} {"board": "ooooBCDDDoBCEooAAFEGGGoFEooHHHoIIJJJ", "size": 6, "moves": 3, "solution": ["H<1", "Fv1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBCDDDoBCEooAAFEGGGoFEooHHHoIIJJJ\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nH<1,Fv1,A>1\n"]}} {"board": "oooooBooAAoBCCCoDDoEoooooEoFFooEoooo", "size": 6, "moves": 3, "solution": ["D<1", "Bv2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBooAAoBCCCoDDoEoooooEoFFooEoooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv2,A>2\n"]}} {"board": "oooBBBoooCCCoooooooooooDoEAAoDoEoooD", "size": 6, "moves": 3, "solution": ["C<1", "D^2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBoooCCCoooooooooooDoEAAoDoEoooD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,D^2,A>2\n"]}} {"board": "oooAABoooCoBDDDCEEFoooGoFoooGoFHHHGo", "size": 6, "moves": 4, "solution": ["Cv2", "D<1", "Bv1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooAABoooCoBDDDCEEFoooGoFoooGoFHHHGo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,D<1,Bv1,A>1\n"]}} {"board": "oooooooBoooooBoCCCAAoooDoooooDoooooD", "size": 6, "moves": 3, "solution": ["C<1", "D^3", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooBoooooBoCCCAAoooDoooooDoooooD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,D^3,A>4\n"]}} {"board": "oooooooooBoCoooBoCoooooCAAoDoooooDoo", "size": 6, "moves": 3, "solution": ["B^1", "D^2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBoCoooBoCoooooCAAoDoooooDoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,D^2,A>4\n"]}} {"board": "oooooooooBoooAABCooDDoCoooooCoooooEE", "size": 6, "moves": 4, "solution": ["B^1", "E<2", "Cv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBoooAABCooDDoCoooooCoooooEE\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,E<2,Cv1,A>3\n"]}} {"board": "oAABooCCCBooDooBooDoEEFoGGooFHooooFH", "size": 6, "moves": 3, "solution": ["E<1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAABooCCCBooDooBooDoEEFoGGooFHooooFH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv1,A>3\n"]}} {"board": "BCCCooBoooooAADooEoFDoGEoFoHGooFoHGo", "size": 6, "moves": 3, "solution": ["Dv1", "D^2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BCCCooBoooooAADooEoFDoGEoFoHGooFoHGo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,D^2,A>4\n"]}} {"board": "ooAAoBCDEEEBCDoooBoooFFFoGGGooHHIIIo", "size": 6, "moves": 3, "solution": ["F<1", "Bv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAAoBCDEEEBCDoooBoooFFFoGGGooHHIIIo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Bv1,A>2\n"]}} {"board": "ooooBoooooBooAAoCoooooCoooooDDoooEEo", "size": 6, "moves": 3, "solution": ["D<2", "Cv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoooooBooAAoCoooooCoooooDDoooEEo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<2,Cv1,A>3\n"]}} {"board": "ooBoooooBooCooBoDCAAooDCEEFoooooFooo", "size": 6, "moves": 3, "solution": ["C^1", "D^1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoooooBooCooBoDCAAooDCEEFoooooFooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^1,A>4\n"]}} {"board": "oAAooBoooooBooooCCooooooDoEEoFDGGooF", "size": 6, "moves": 3, "solution": ["C<1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAooBoooooBooooCCooooooDoEEoFDGGooF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,Bv1,A>3\n"]}} {"board": "ooooooAABooCooBDoCooBDoCoooDoooooooo", "size": 6, "moves": 3, "solution": ["Bv1", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooAABooCooBDoCooBDoCoooDoooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>4\n"]}} {"board": "ooBBBCoAAoDCooEEDoFGGoooFHHIIJKKKLLJ", "size": 6, "moves": 3, "solution": ["Cv2", "Cv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBCoAAoDCooEEDoFGGoooFHHIIJKKKLLJ\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,Cv1,A>3\n"]}} {"board": "oooooooooooBoooAABoooooBooCCoooooDDD", "size": 6, "moves": 3, "solution": ["D<1", "Bv2", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooBoooAABoooooBooCCoooooDDD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv2,A>1\n"]}} {"board": "oooBBBCCCDEooAADEooooFEoGGGFoHoIIFoH", "size": 6, "moves": 4, "solution": ["B<3", "D^1", "Ev2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBCCCDEooAADEooooFEoGGGFoHoIIFoH\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<3,D^1,Ev2,A>3\n"]}} {"board": "ooAAoBoooooBooCCCBoooDDDooooooooEEEo", "size": 6, "moves": 3, "solution": ["D<1", "Bv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAAoBoooooBooCCCBoooDDDooooooooEEEo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv1,A>2\n"]}} {"board": "oooooooooooBAAoCoBoDoCoBoDoEEEoDFFFo", "size": 6, "moves": 4, "solution": ["C^2", "E<1", "Cv2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooBAAoCoBoDoCoBoDoEEEoDFFFo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,E<1,Cv2,A>4\n"]}} {"board": "ooooooooooBoAAoCBooDoCBooDoCoooDoooo", "size": 6, "moves": 3, "solution": ["Bv2", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooBoAAoCBooDoCBooDoCoooDoooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,Bv1,A>4\n"]}} {"board": "oooAABCCoDDBoooEEEoFFFooGoHoooGoHooo", "size": 6, "moves": 3, "solution": ["E<1", "Bv1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooAABCCoDDBoooEEEoFFFooGoHoooGoHooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv1,A>1\n"]}} {"board": "oAABooCooBooCooBooCoDDoooooooooooooo", "size": 6, "moves": 3, "solution": ["D<1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAABooCooBooCooBooCoDDoooooooooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv1,A>3\n"]}} {"board": "BAACooBDoCEEoDFGHHoDFGIIJJFoKKoLLooo", "size": 6, "moves": 3, "solution": ["Gv1", "Cv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BAACooBDoCEEoDFGHHoDFGIIJJFoKKoLLooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nGv1,Cv1,A>3\n"]}} {"board": "ooooBoAAooBCooDDoCEoFFFCEGooooEGoHHH", "size": 6, "moves": 4, "solution": ["Cv1", "F<1", "Bv2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoAAooBCooDDoCEoFFFCEGooooEGoHHH\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,F<1,Bv2,A>4\n"]}} {"board": "oooooooBoooooBoooooBoCCCAAoDooEEoDoo", "size": 6, "moves": 4, "solution": ["B^1", "C<3", "D^2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooBoooooBoooooBoCCCAAoDooEEoDoo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,C<3,D^2,A>4\n"]}} {"board": "ooBBBooooCoDoooCEDoFAAEDoFoGGGoFooHH", "size": 6, "moves": 3, "solution": ["D^1", "E^1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBooooCoDoooCEDoFAAEDoFoGGGoFooHH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E^1,A>2\n"]}} {"board": "AAoooBCCCoDBoEEFDGoHIFDGoHIoJGoHIoJo", "size": 6, "moves": 3, "solution": ["Gv1", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoooBCCCoDBoEEFDGoHIFDGoHIoJGoHIoJo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nGv1,Bv1,A>4\n"]}} {"board": "oooBoooooBCDEEEBCDFGooCHFGoAAHFGIIIo", "size": 6, "moves": 3, "solution": ["D^1", "H^1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoooooBCDEEEBCDFGooCHFGoAAHFGIIIo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,H^1,A>1\n"]}} {"board": "ooBoooAABoooooooooooCoooooCooooooDDo", "size": 6, "moves": 3, "solution": ["Cv1", "Bv2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoooAABoooooooooooCoooooCooooooDDo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Bv2,A>4\n"]}} {"board": "ooooooooBoooAABoCoDDDECooooECooFFEoo", "size": 6, "moves": 3, "solution": ["B^1", "Cv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooBoooAABoCoDDDECooooECooFFEoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,Cv1,A>4\n"]}} {"board": "oooooBoooAABoooooBCCCoooooooDDoooooo", "size": 6, "moves": 3, "solution": ["D<1", "Bv2", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoooAABoooooBCCCoooooooDDoooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv2,A>1\n"]}} {"board": "ooAABoooooBoooooCCooooDDEooFFFEooooo", "size": 6, "moves": 3, "solution": ["C<2", "Bv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAABoooooBoooooCCooooDDEooFFFEooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,Bv1,A>2\n"]}} {"board": "ooooBoooooBoooAABoCCCooDoooEEDFFoooD", "size": 6, "moves": 3, "solution": ["E<1", "Bv3", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoooooBoooAABoCCCooDoooEEDFFoooD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv3,A>2\n"]}} {"board": "BBBooCoDDDoCooAAoCEEooFoooooFooGGHHH", "size": 6, "moves": 4, "solution": ["G<1", "H<1", "Cv3", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBooCoDDDoCooAAoCEEooFoooooFooGGHHH\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,H<1,Cv3,A>2\n"]}} {"board": "oooooooooooBoooCoBAAoCoBoooCooDDooEE", "size": 6, "moves": 3, "solution": ["B^1", "C^2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooBoooCoBAAoCoBoooCooDDooEE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,C^2,A>4\n"]}} {"board": "oooooooooBBBCDooooCDoooECDAAoEoooooE", "size": 6, "moves": 3, "solution": ["B<1", "E^2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBBBCDooooCDoooECDAAoEoooooE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,E^2,A>2\n"]}} {"board": "AABoooCoBDoECoBDoEFGHHoEFGooIIoGoJJo", "size": 6, "moves": 3, "solution": ["H>1", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AABoooCoBDoECoBDoEFGHHoEFGooIIoGoJJo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nH>1,Bv1,A>4\n"]}} {"board": "ooooBooAAoBooooCDDoooCooooooEEoFFFoo", "size": 6, "moves": 4, "solution": ["Cv1", "C<2", "Bv2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBooAAoBooooCDDoooCooooooEEoFFFoo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,C<2,Bv2,A>3\n"]}} {"board": "BBBooCooAAoCooDooCooDooooEooFFoEGGoo", "size": 6, "moves": 3, "solution": ["F<1", "Cv2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBooCooAAoCooDooCooDooooEooFFoEGGoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Cv2,A>2\n"]}} {"board": "ooBBBCoooAACooDDoCooEEEooFFGGGoooHHH", "size": 6, "moves": 4, "solution": ["F<1", "G<1", "Cv2", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBCoooAACooDDoCooEEEooFFGGGoooHHH\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,G<1,Cv2,A>1\n"]}} {"board": "ooooooBooCCCBoooDoBoAADoEEooDoooFFoo", "size": 6, "moves": 3, "solution": ["C<2", "D^2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooBooCCCBoooDoBoAADoEEooDoooFFoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,D^2,A>2\n"]}} {"board": "AAooBoooCCBoooooDoooooDooooEEEoooooo", "size": 6, "moves": 4, "solution": ["E<2", "Dv1", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAooBoooCCBoooooDoooooDooooEEEoooooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<2,Dv1,Bv1,A>4\n"]}} {"board": "ooooBoooAABooooCCCDDEoooooEoooooEooo", "size": 6, "moves": 3, "solution": ["C<2", "Bv2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoooAABooooCCCDDEoooooEoooooEooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,Bv2,A>2\n"]}} {"board": "oooooBoAAooBCooooBCDDooooooEEEoooFFF", "size": 6, "moves": 3, "solution": ["E<1", "Bv2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoAAooBCooooBCDDooooooEEEoooFFF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv2,A>3\n"]}} {"board": "oooBoooooBooooCoDoooCEDoAAoEDooooFFo", "size": 6, "moves": 3, "solution": ["D^1", "E^1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoooooBooooCoDoooCEDoAAoEDooooFFo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E^1,A>4\n"]}} {"board": "oooBBBCCCoDoooooDoAAooDoooEEoooooooo", "size": 6, "moves": 3, "solution": ["B<2", "D^1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBCCCoDoooooDoAAooDoooEEoooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,D^1,A>4\n"]}} {"board": "oooBBBooCCCooooooooooDEFAAoDEFoooGGG", "size": 6, "moves": 4, "solution": ["D^1", "E^1", "F^1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBooCCCooooooooooDEFAAoDEFoooGGG\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E^1,F^1,A>4\n"]}} {"board": "oooBBBCCCDDDoooooEoAAooEoooFFFoooGGG", "size": 6, "moves": 4, "solution": ["F<1", "G<1", "Ev2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBCCCDDDoooooEoAAooEoooFFFoooGGG\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,G<1,Ev2,A>3\n"]}} {"board": "oAABCoDDDBCooEooCooEFoooGEFHHoGoFoII", "size": 6, "moves": 3, "solution": ["Bv1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAABCoDDDBCooEooCooEFoooGEFHHoGoFoII\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>3\n"]}} {"board": "ooBBBoCooDooCooDEoooAAEoooooEooooFFo", "size": 6, "moves": 3, "solution": ["B<1", "E^2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBoCooDooCooDEoooAAEoooooEooooFFo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,E^2,A>2\n"]}} {"board": "ooooBoCoooBoCAAoBoDoooooDoEEEoDooooo", "size": 6, "moves": 3, "solution": ["E<1", "Bv3", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoCoooBoCAAoBoDoooooDoEEEoDooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv3,A>3\n"]}} {"board": "oooBBBoooooooooCCCoooAADoEEooDoooooD", "size": 6, "moves": 4, "solution": ["B<1", "C<1", "D^3", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBoooooooooCCCoooAADoEEooDoooooD\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,C<1,D^3,A>1\n"]}} {"board": "oBooCooBAACooBooDDEEooooFFGGGoooooHH", "size": 6, "moves": 3, "solution": ["D<2", "Cv2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBooCooBAACooBooDDEEooooFFGGGoooooHH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<2,Cv2,A>2\n"]}} {"board": "BoooooBoAAoCBooooCooDooCooDEFFooDEoo", "size": 6, "moves": 4, "solution": ["E^2", "F<1", "Cv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoooooBoAAoCBooooCooDooCooDEFFooDEoo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^2,F<1,Cv1,A>2\n"]}} {"board": "ooooooooBoCoooBoCoAABooDEoFooDEoFGGD", "size": 6, "moves": 3, "solution": ["B^1", "D^3", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooBoCoooBoCoAABooDEoFooDEoFGGD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,D^3,A>4\n"]}} {"board": "ooooooooooooooBBBooAACoDoooCoDoooCoD", "size": 6, "moves": 4, "solution": ["B<2", "C^3", "D^3", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooooooBBBooAACoDoooCoDoooCoD\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,C^3,D^3,A>3\n"]}} {"board": "BAAoCoBoooCoBoooCooDDoEoooooEoFFoooo", "size": 6, "moves": 3, "solution": ["Ev1", "Cv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BAAoCoBoooCoBoooCooDDoEoooooEoFFoooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,Cv1,A>3\n"]}} {"board": "ooooooooooBooAACBoDDDCoEoooFoEoooFoE", "size": 6, "moves": 3, "solution": ["B^1", "C^2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooBooAACBoDDDCoEoooFoEoooFoE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,C^2,A>3\n"]}} {"board": "oBoooCDBoAACDBEoFCDoEoFoGHEIIIGHoooo", "size": 6, "moves": 4, "solution": ["E^1", "I<1", "Cv2", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoooCDBoAACDBEoFCDoEoFoGHEIIIGHoooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,I<1,Cv2,A>1\n"]}} {"board": "oAAooBoooooBoooCCCoooDoooooDoooooDoo", "size": 6, "moves": 3, "solution": ["C<1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAooBoooooBoooCCCoooDoooooDoooooDoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,Bv1,A>3\n"]}} {"board": "oooBBBCDDDooCoooEoCooFEoooGFooAAGFoo", "size": 6, "moves": 3, "solution": ["F^1", "G^1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBCDDDooCoooEoCooFEoooGFooAAGFoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,G^1,A>4\n"]}} {"board": "oooBBBoooCCCoooooDoEooFDGEAAFoGoooFo", "size": 6, "moves": 3, "solution": ["C<2", "F^2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBoooCCCoooooDoEooFDGEAAFoGoooFo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,F^2,A>2\n"]}} {"board": "oBooCooBooCooBooCoDoEFFFDoEAAGoHHooG", "size": 6, "moves": 4, "solution": ["E^2", "F<1", "G^2", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBooCooBooCooBooCoDoEFFFDoEAAGoHHooG\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^2,F<1,G^2,A>1\n"]}} {"board": "oAAooBoCCooBoooDDBoooEEEFoooooFooooo", "size": 6, "moves": 3, "solution": ["E<1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAooBoCCooBoooDDBoooEEEFoooooFooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv1,A>3\n"]}} {"board": "ooBCCCAABooooooooooDDoEoFoGGEoFoooEo", "size": 6, "moves": 3, "solution": ["D<1", "Bv2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBCCCAABooooooooooDDoEoFoGGEoFoooEo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv2,A>4\n"]}} {"board": "oooBooAAoBoCDooooCDoEoooooEoooooEooo", "size": 6, "moves": 3, "solution": ["Bv2", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBooAAoBoCDooooCDoEoooooEoooooEooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,Bv1,A>4\n"]}} {"board": "BoCCCDBooAADBEEoFFoooGGGooHoIJKKHoIJ", "size": 6, "moves": 4, "solution": ["F<1", "G<1", "Dv2", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoCCCDBooAADBEEoFFoooGGGooHoIJKKHoIJ\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,G<1,Dv2,A>1\n"]}} {"board": "BoooooBooooooooCCCDoooEFDAAoEFDoooEF", "size": 6, "moves": 4, "solution": ["C<2", "E^2", "F^2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoooooBooooooooCCCDoooEFDAAoEFDoooEF\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,E^2,F^2,A>3\n"]}} {"board": "BAAoCDBEEECDBFFFoDGoHHooGooIIIGJJooo", "size": 6, "moves": 3, "solution": ["Cv1", "Cv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BAAoCDBEEECDBFFFoDGoHHooGooIIIGJJooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Cv1,A>3\n"]}} {"board": "oooBBBooooooooooooAAoCDooooCDoEEoCDo", "size": 6, "moves": 4, "solution": ["B<3", "C^3", "D^3", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBooooooooooooAAoCDooooCDoEEoCDo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<3,C^3,D^3,A>4\n"]}} {"board": "oooBBBoCCCooooAADoooooDooooEEEoFFooo", "size": 6, "moves": 3, "solution": ["B<2", "D^2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBoCCCooooAADoooooDooooEEEoFFooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,D^2,A>2\n"]}} {"board": "BooCCCBDoEEEoDFooGoDFooGooFAAGHHooII", "size": 6, "moves": 3, "solution": ["E<1", "G^1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BooCCCBDoEEEoDFooGoDFooGooFAAGHHooII\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,G^1,A>1\n"]}} {"board": "ooBBBoCAAoDECoooDECoooDEooFFoooooGGo", "size": 6, "moves": 3, "solution": ["Dv1", "Dv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBoCAAoDECoooDECoooDEooFFoooooGGo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,Dv1,A>3\n"]}} {"board": "BBBoooooooCoooooCooAADCooooDoooooDoo", "size": 6, "moves": 3, "solution": ["C^1", "D^3", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBoooooooCoooooCooAADCooooDoooooDoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^3,A>3\n"]}} {"board": "oooooBoooAABoooooBoooCCCooooooDDoooo", "size": 6, "moves": 3, "solution": ["C<1", "Bv2", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoooAABoooooBoooCCCooooooDDoooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,Bv2,A>1\n"]}} {"board": "oooAABoCoooBDCoEEEDoFGGoooFHIIoJJHoo", "size": 6, "moves": 3, "solution": ["E<1", "Bv1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooAABoCoooBDCoEEEDoFGGoooFHIIoJJHoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv1,A>1\n"]}} {"board": "AABoCoDDBECoFFBECoGGoEooHHHoIJoKKoIJ", "size": 6, "moves": 3, "solution": ["Bv1", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AABoCoDDBECoFFBECoGGoEooHHHoIJoKKoIJ\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>4\n"]}} {"board": "oooooooooooBAACooBDDCoEoooooEoFFoGGG", "size": 6, "moves": 3, "solution": ["B^1", "C^2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooBAACooBDDCoEoooooEoFFoGGG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,C^2,A>4\n"]}} {"board": "oooooBoAAooBooCooBooCoDDEECFoooGGFoo", "size": 6, "moves": 3, "solution": ["D<1", "Bv2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoAAooBooCooBooCoDDEECFoooGGFoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv2,A>3\n"]}} {"board": "AAooBoooooBoooooBooooCCCoDoooEoDFFFE", "size": 6, "moves": 3, "solution": ["C<2", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAooBoooooBoooooBooooCCCoDoooEoDFFFE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,Bv1,A>4\n"]}} {"board": "ooBBBoAAoCDEFFFCDEooooDEGGHHoooooIII", "size": 6, "moves": 4, "solution": ["Cv1", "Cv1", "Cv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBoAAoCDEFFFCDEooooDEGGHHoooooIII\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Cv1,Cv1,A>4\n"]}} {"board": "ooAABooCooBooCooBooooDDDoooooooooooo", "size": 6, "moves": 3, "solution": ["D<2", "Bv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAABooCooBooCooBooooDDDoooooooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<2,Bv1,A>2\n"]}} {"board": "ooooBoooooBoooAABoooCCCooooooDoooEED", "size": 6, "moves": 4, "solution": ["C<1", "E<1", "Bv3", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoooooBoooAABoooCCCooooooDoooEED\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,E<1,Bv3,A>2\n"]}} {"board": "BoooooBooCCCBAADoooooDEFooGGEFooooEF", "size": 6, "moves": 3, "solution": ["G<1", "Dv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoooooBooCCCBAADoooooDEFooGGEFooooEF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,Dv1,A>3\n"]}} {"board": "BoAAoCBDoooCoDoooEoDFFoEGGoHHHIIIoJJ", "size": 6, "moves": 4, "solution": ["H<1", "Ev1", "Cv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoAAoCBDoooCoDoooEoDFFoEGGoHHHIIIoJJ\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nH<1,Ev1,Cv1,A>2\n"]}} {"board": "oooooooooooooooBBBooooCoAAooCooooooo", "size": 6, "moves": 3, "solution": ["B<2", "C^1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooooooBBBooooCoAAooCooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,C^1,A>4\n"]}} {"board": "ooBBBCooAAoCoDoooCoDEoFFoDEoGGooEHHo", "size": 6, "moves": 4, "solution": ["F<1", "G<1", "Cv2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBCooAAoCoDoooCoDEoFFoDEoGGooEHHo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,G<1,Cv2,A>2\n"]}} {"board": "oBooooCBDEFoCoDEFGHAAEoGHIIJooHooJKK", "size": 6, "moves": 3, "solution": ["E^1", "G^1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBooooCBDEFoCoDEFGHAAEoGHIIJooHooJKK\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,G^1,A>3\n"]}} {"board": "oooooooooooooooBoooAABoCooDBoCooDooo", "size": 6, "moves": 3, "solution": ["B^2", "C^2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooooooBoooAABoCooDBoCooDooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^2,C^2,A>3\n"]}} {"board": "oooooooooooooooooooooooBoAAoCBooooCo", "size": 6, "moves": 3, "solution": ["B^1", "C^2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooooooooooooooBoAAoCBooooCo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,C^2,A>3\n"]}} {"board": "oooBBBoooooooooooooooAACoooooCooDDoC", "size": 6, "moves": 3, "solution": ["B<1", "C^3", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBoooooooooooooooAACoooooCooDDoC\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,C^3,A>1\n"]}} {"board": "oooooooooBCooDoBCoEDooCFEDooGFEoAAGF", "size": 6, "moves": 4, "solution": ["C^1", "F^1", "G^1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBCooDoBCoEDooCFEDooGFEoAAGF\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,F^1,G^1,A>2\n"]}} {"board": "oBoCoooBoCooAAoCooooooDDoEEFFoGGGoHH", "size": 6, "moves": 3, "solution": ["F>1", "Cv3", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoCoooBoCooAAoCooooooDDoEEFFoGGGoHH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF>1,Cv3,A>4\n"]}} {"board": "oooooooooBoooooBooooCBDEAACoDEooCooE", "size": 6, "moves": 4, "solution": ["C^2", "D^1", "E^2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBoooooBooooCBDEAACoDEooCooE\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,D^1,E^2,A>4\n"]}} {"board": "ooooBoooAABooCoooooCooDDoooooooooooo", "size": 6, "moves": 3, "solution": ["D<2", "Bv2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoooAABooCoooooCooDDoooooooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<2,Bv2,A>2\n"]}} {"board": "ooooBoooooBooooooooooCCCAAoooDoooooD", "size": 6, "moves": 3, "solution": ["C<1", "D^2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoooooBooooooooooCCCAAoooDoooooD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,D^2,A>4\n"]}} {"board": "oooBoooooBoCoooDoCEAADoCEoooFFEooooo", "size": 6, "moves": 3, "solution": ["C^1", "Dv2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoooooBoCoooDoCEAADoCEoooFFEooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,Dv2,A>3\n"]}} {"board": "oooooooooooBoAAooBooCCoBoooDDDoEEooo", "size": 6, "moves": 3, "solution": ["D<1", "Bv2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooBoAAooBooCCoBoooDDDoEEooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv2,A>3\n"]}} {"board": "ooooBooAAoBoCCCoBooDDooooooEFFoooEoo", "size": 6, "moves": 4, "solution": ["E^2", "F<2", "Bv2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBooAAoBoCCCoBooDDooooooEFFoooEoo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^2,F<2,Bv2,A>3\n"]}} {"board": "BBBooCooooDCoAAoDEooooDEooooFFoooooo", "size": 6, "moves": 4, "solution": ["F<2", "Dv2", "Dv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBooCooooDCoAAoDEooooDEooooFFoooooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<2,Dv2,Dv1,A>3\n"]}} {"board": "BoooooBoooooBCDDDooCEoooAAEoooooEFFF", "size": 6, "moves": 3, "solution": ["D>1", "E^2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoooooBoooooBCDDDooCEoooAAEoooooEFFF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD>1,E^2,A>4\n"]}} {"board": "oAABooCCCBoooooBoooooDDDoooEoooooEoo", "size": 6, "moves": 3, "solution": ["D<3", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAABooCCCBoooooBoooooDDDoooEoooooEoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<3,Bv1,A>3\n"]}} {"board": "ooooooooooBCDoooBCDooooCDoAAEooFFoEo", "size": 6, "moves": 3, "solution": ["B^1", "E^2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooBCDoooBCDooooCDoAAEooFFoEo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,E^2,A>2\n"]}} {"board": "ooAAoBCCCooBooDDoEoooFFEoooooEGGHHHo", "size": 6, "moves": 3, "solution": ["Ev1", "Bv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAAoBCCCooBooDDoEoooFFEoooooEGGHHHo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,Bv1,A>2\n"]}} {"board": "oooooBoAAooBoCCDDDEEoooooooFFFooGGGo", "size": 6, "moves": 4, "solution": ["C<1", "D<1", "Bv2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoAAooBoCCDDDEEoooooooFFFooGGGo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,D<1,Bv2,A>3\n"]}} {"board": "BBBooooAAoCoooooCooooDDDoEoooooEoFFo", "size": 6, "moves": 3, "solution": ["D<2", "Cv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBooooAAoCoooooCooooDDDoEoooooEoFFo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<2,Cv1,A>3\n"]}} {"board": "BoooCoBoooCoooAAoDEooooDEooooDEooFFF", "size": 6, "moves": 3, "solution": ["F<1", "Dv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoooCoBoooCoooAAoDEooooDEooooDEooFFF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Dv1,A>2\n"]}} {"board": "ooooooooBCCCooBoooDoooEoDooFEoDAAFEo", "size": 6, "moves": 3, "solution": ["E^1", "F^1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooBCCCooBoooDoooEoDooFEoDAAFEo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,F^1,A>3\n"]}} {"board": "BooCCCBooooDBoAAoDoEEFoGoooFHGooooHG", "size": 6, "moves": 3, "solution": ["C<1", "D^1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BooCCCBooooDBoAAoDoEEFoGoooFHGooooHG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,D^1,A>2\n"]}} {"board": "AAooBCoDDDBCoEEoBoooooFFooGoHoIIGoHo", "size": 6, "moves": 4, "solution": ["Cv1", "F<2", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAooBCoDDDBCoEEoBoooooFFooGoHoIIGoHo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,F<2,Bv1,A>4\n"]}} {"board": "oooooooooooooooBBBoCCCDEooAADEFFooDo", "size": 6, "moves": 4, "solution": ["B<2", "D^2", "E^1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooooooBBBoCCCDEooAADEFFooDo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,D^2,E^1,A>2\n"]}} {"board": "oAAooBCooooBCoooDDCoooEEoooooooooFFF", "size": 6, "moves": 3, "solution": ["D<1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAooBCooooBCoooDDCoooEEoooooooooFFF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv1,A>3\n"]}} {"board": "ooooBCooooBCoAAooCDoooooDooEEEDFFooo", "size": 6, "moves": 3, "solution": ["E<1", "Cv3", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBCooooBCoAAooCDoooooDooEEEDFFooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Cv3,A>3\n"]}} {"board": "ooooooooooooooooBCooooBCooAABCDDoooo", "size": 6, "moves": 3, "solution": ["B^1", "C^1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooooooooBCooooBCooAABCDDoooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,C^1,A>2\n"]}} {"board": "oooooooooBBBoooCooAAoCoooooooooooDDD", "size": 6, "moves": 3, "solution": ["B<3", "C^1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBBBoooCooAAoCoooooooooooDDD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<3,C^1,A>4\n"]}} {"board": "ooooooBoooooBoooooBoCoDoooCoDoAACoDo", "size": 6, "moves": 3, "solution": ["C^1", "D^1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooBoooooBoooooBoCoDoooCoDoAACoDo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^1,A>4\n"]}} {"board": "oooooooooooooooBBBCoDDDECFAAoECFoooE", "size": 6, "moves": 3, "solution": ["B<1", "E^2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooooooBBBCoDDDECFAAoECFoooE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,E^2,A>2\n"]}} {"board": "ooooooooBooCAABooCooBooooooooooooooo", "size": 6, "moves": 3, "solution": ["Bv2", "B^1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooBooCAABooCooBooooooooooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,B^1,A>4\n"]}} {"board": "ooBooCooBooCoooDoCoAADEFGGoDEFooooEo", "size": 6, "moves": 4, "solution": ["D^2", "E^3", "Fv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBooCooBooCoooDoCoAADEFGGoDEFooooEo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,E^3,Fv1,A>3\n"]}} {"board": "ooBBBCDDDooCoooooooAAoEoooFoEoooFoEo", "size": 6, "moves": 3, "solution": ["B<1", "E^3", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBCDDDooCoooooooAAoEoooFoEoooFoEo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,E^3,A>3\n"]}} {"board": "ooooooooooooooBooCAABooCoDoEEooDoooo", "size": 6, "moves": 3, "solution": ["B^1", "C^1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooooooBooCAABooCoDoEEooDoooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,C^1,A>4\n"]}} {"board": "oooooooAAooBooCCoBDooEEEDoFoooDoFooo", "size": 6, "moves": 3, "solution": ["E<1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooAAooBooCCoBDooEEEDoFoooDoFooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv1,A>3\n"]}} {"board": "oooooooooBBBoCCCDoooAADoooEEFFoooGGG", "size": 6, "moves": 3, "solution": ["B<2", "D^1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBBBoCCCDoooAADoooEEFFoooGGG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,D^1,A>2\n"]}} {"board": "oooBBBCDDDoECAAooEFGoHHHFGIoJJoGIKKo", "size": 6, "moves": 3, "solution": ["B<1", "E^1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBCDDDoECAAooEFGoHHHFGIoJJoGIKKo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,E^1,A>3\n"]}} {"board": "BooCCCBDoEEEFDoAAGFHHIoGFooIJJKKKILL", "size": 6, "moves": 4, "solution": ["C<1", "E<1", "G^2", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BooCCCBDoEEEFDoAAGFHHIoGFooIJJKKKILL\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,E<1,G^2,A>1\n"]}} {"board": "BoooooBoCCCoBooDDDAAoooEFFoooEooooGG", "size": 6, "moves": 3, "solution": ["D<1", "E^2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoooooBoCCCoBooDDDAAoooEFFoooEooooGG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,E^2,A>4\n"]}} {"board": "ooBBBoooooCoAADoCoEEDFoGHHDFIGoooFIG", "size": 6, "moves": 4, "solution": ["B<1", "C^1", "Dv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBoooooCoAADoCoEEDFoGHHDFIGoooFIG\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,C^1,Dv1,A>4\n"]}} {"board": "ooBCCCooBoooAABoooooooooooooooooDDDo", "size": 6, "moves": 3, "solution": ["D>1", "Bv3", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBCCCooBoooAABoooooooooooooooooDDDo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD>1,Bv3,A>4\n"]}} {"board": "oooooooooBooCooBooCAABoDooEEEDoooooo", "size": 6, "moves": 3, "solution": ["B^1", "D^2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBooCooBooCAABoDooEEEDoooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,D^2,A>3\n"]}} {"board": "AAooBoooooBooCCCBoooDDDooEEooooooooo", "size": 6, "moves": 3, "solution": ["D<1", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAooBoooooBooCCCBoooDDDooEEooooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv1,A>4\n"]}} {"board": "ooooBooAAoBooooooooooCCCooooooDDDEEo", "size": 6, "moves": 3, "solution": ["C<2", "Bv2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBooAAoBooooooooooCCCooooooDDDEEo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,Bv2,A>3\n"]}} {"board": "oBoCCCoBoooDoBEEEDoFGAADoFGHHHoFGooo", "size": 6, "moves": 3, "solution": ["C<1", "D^1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoCCCoBoooDoBEEEDoFGAADoFGHHHoFGooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,D^1,A>1\n"]}} {"board": "oooBooCDoBEoCDooEooDoFFFooAAoGoooooG", "size": 6, "moves": 3, "solution": ["F<1", "G^2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBooCDoBEoCDooEooDoFFFooAAoGoooooG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,G^2,A>2\n"]}} {"board": "ooooBooAAoBoCoooooCoDDDoCEEoFFoooGGG", "size": 6, "moves": 3, "solution": ["D<1", "Bv2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBooAAoBoCoooooCoDDDoCEEoFFoooGGG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv2,A>3\n"]}} {"board": "AABCDoEFBCDoEFBCDoGoooooGHHHooIIIoJJ", "size": 6, "moves": 4, "solution": ["Bv1", "Bv1", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AABCDoEFBCDoEFBCDoGoooooGHHHooIIIoJJ\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,Bv1,A>4\n"]}} {"board": "ooooooooooBoooAABoCoooBoCoDDDoCoEEoo", "size": 6, "moves": 3, "solution": ["D<1", "Bv2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooBoooAABoCoooBoCoDDDoCoEEoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv2,A>2\n"]}} {"board": "BooAACBDDooCBoooEEFGHIIoFGHJJJoGoKKK", "size": 6, "moves": 3, "solution": ["E<1", "Cv1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BooAACBDDooCBoooEEFGHIIoFGHJJJoGoKKK\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Cv1,A>1\n"]}} {"board": "oooBBBooAAoCDDEFFCooEoGGoHHHoooIIIoo", "size": 6, "moves": 3, "solution": ["G<1", "Cv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBooAAoCDDEFFCooEoGGoHHHoooIIIoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,Cv1,A>2\n"]}} {"board": "oooooooBBBCoAAooCoDEFFCoDEGGooDooHHH", "size": 6, "moves": 3, "solution": ["H<2", "Cv2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooBBBCoAAooCoDEFFCoDEGGooDooHHH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nH<2,Cv2,A>4\n"]}} {"board": "ooooooAAooBCDDDoBCooooBoEoooFFEooGGG", "size": 6, "moves": 4, "solution": ["Cv1", "F<2", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooAAooBCDDDoBCooooBoEoooFFEooGGG\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,F<2,Bv1,A>4\n"]}} {"board": "BCoDDDBCoEEEBCoFooGGGFHIooooHIooAAHI", "size": 6, "moves": 3, "solution": ["H^1", "I^1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BCoDDDBCoEEEBCoFooGGGFHIooooHIooAAHI\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nH^1,I^1,A>2\n"]}} {"board": "ooBCooAABCoooooCoooooooooDoooooDooEE", "size": 6, "moves": 3, "solution": ["Bv2", "Bv2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBCooAABCoooooCoooooooooDoooooDooEE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,Bv2,A>4\n"]}} {"board": "oooooBoooAABoCoooBDCoEEEDooFFFDooooo", "size": 6, "moves": 4, "solution": ["E<1", "F<1", "Bv2", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoooAABoCoooBDCoEEEDooFFFDooooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,F<1,Bv2,A>1\n"]}} {"board": "oooBoooAABooooCCCoDEooFFDEooGGDoHHHo", "size": 6, "moves": 3, "solution": ["C<2", "Bv2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoooAABooooCCCoDEooFFDEooGGDoHHHo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,Bv2,A>3\n"]}} {"board": "ooBBBCooooDCEAAoDCEooFFFEGGGoooooooo", "size": 6, "moves": 4, "solution": ["F<2", "Cv3", "Cv2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBCooooDCEAAoDCEooFFFEGGGoooooooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<2,Cv3,Cv2,A>3\n"]}} {"board": "ooooooooooooooBBBoAAooCoDDooCoooooCo", "size": 6, "moves": 3, "solution": ["B<1", "C^3", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooooooBBBoAAooCoDDooCoooooCo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,C^3,A>4\n"]}} {"board": "oooAABoooooBooCCoBoDDoEEooooFFoooooo", "size": 6, "moves": 3, "solution": ["E<1", "Bv1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooAABoooooBooCCoBoDDoEEooooFFoooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv1,A>1\n"]}} {"board": "ooooooooBBBoooooCoooAACooooooooooDDo", "size": 6, "moves": 3, "solution": ["B<1", "C^1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooBBBoooooCoooAACooooooooooDDo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,C^1,A>2\n"]}} {"board": "ooooooAAoBoooooBoooooBCCoooDDDooEEEo", "size": 6, "moves": 3, "solution": ["D<3", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooAAoBoooooBoooooBCCoooDDDooEEEo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<3,Bv1,A>4\n"]}} {"board": "oooBBBCoooooCoooDooEEEDoooooFGAAooFG", "size": 6, "moves": 4, "solution": ["D^1", "F^1", "G^1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBCoooooCoooDooEEEDoooooFGAAooFG\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,F^1,G^1,A>4\n"]}} {"board": "ooooooooooooAABooCooBDDCoooooooooooo", "size": 6, "moves": 3, "solution": ["B^2", "C^2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooooAABooCooBDDCoooooooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^2,C^2,A>4\n"]}} {"board": "BBBCCCoooDDDooEEEooFoooGoFoAAGoFoooG", "size": 6, "moves": 3, "solution": ["D<1", "G^2", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBCCCoooDDDooEEEooFoooGoFoAAGoFoooG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,G^2,A>1\n"]}} {"board": "oooBBBoooCooAAoCooooDDEEooooooFFGGGo", "size": 6, "moves": 3, "solution": ["B<3", "C^1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBoooCooAAoCooooDDEEooooooFFGGGo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<3,C^1,A>4\n"]}} {"board": "oooooBoooooBoooAABooCCCooooDDDoEEEoo", "size": 6, "moves": 3, "solution": ["D<1", "Bv3", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoooooBoooAABooCCCooooDDDoEEEoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv3,A>1\n"]}} {"board": "oooooooooooBoAAooBoooCCBooooDDoooEEE", "size": 6, "moves": 4, "solution": ["D<1", "E<1", "Bv2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooBoAAooBoooCCBooooDDoooEEE\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,E<1,Bv2,A>3\n"]}} {"board": "ooBBBoooCoooAACoooDoEooFDoEooFooGGoF", "size": 6, "moves": 3, "solution": ["B>1", "C^1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBoooCoooAACoooDoEooFDoEooFooGGoF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB>1,C^1,A>4\n"]}} {"board": "oBBBooooCoooooCooooooDDDAAEoooooEooo", "size": 6, "moves": 4, "solution": ["B>2", "C^1", "E^2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBooooCoooooCooooooDDDAAEoooooEooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB>2,C^1,E^2,A>4\n"]}} {"board": "ooBBBoooAAoCoDDEECoFoGGGHFooooHoIIIo", "size": 6, "moves": 3, "solution": ["G<1", "Cv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBoooAAoCoDDEECoFoGGGHFooooHoIIIo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,Cv1,A>2\n"]}} {"board": "AAoooBoooooBoooCCCoDDDoooooooooooooo", "size": 6, "moves": 3, "solution": ["C<1", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoooBoooooBoooCCCoDDDoooooooooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,Bv1,A>4\n"]}} {"board": "AABoooooBooCoDEEoCFDGooCFDGoHIFoGoHI", "size": 6, "moves": 3, "solution": ["E>1", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AABoooooBooCoDEEoCFDGooCFDGoHIFoGoHI\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE>1,Bv1,A>4\n"]}} {"board": "ooBCCCooBoooAAoooDEEoooDoFoGGDoFooHH", "size": 6, "moves": 3, "solution": ["H<1", "Dv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBCCCooBoooAAoooDEEoooDoFoGGDoFooHH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nH<1,Dv1,A>4\n"]}} {"board": "oooBBBooAAoCoooDDCooEooCooEoFFooooGG", "size": 6, "moves": 3, "solution": ["F<1", "Cv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBooAAoCoooDDCooEooCooEoFFooooGG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Cv1,A>2\n"]}} {"board": "oBoCCCoBoDoooooDooAAoDooEEEooooooFFF", "size": 6, "moves": 4, "solution": ["Bv1", "B<3", "D^1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoCCCoBoDoooooDooAAoDooEEEooooooFFF\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,B<3,D^1,A>4\n"]}} {"board": "AAoBCooooBCooooooooDoooooDEEoooDoooo", "size": 6, "moves": 3, "solution": ["Bv1", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoBCooooBCooooooooDoooooDEEoooDoooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>4\n"]}} {"board": "ooooooBCDoooBCDooEFFFooEoAAGoEoooGHH", "size": 6, "moves": 3, "solution": ["E^1", "G^2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooBCDoooBCDooEFFFooEoAAGoEoooGHH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,G^2,A>3\n"]}} {"board": "AAooBoCooDBoCooDBECooFFEGGGHHEoooIII", "size": 6, "moves": 3, "solution": ["F<1", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAooBoCooDBoCooDBECooFFEGGGHHEoooIII\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Bv1,A>4\n"]}} {"board": "oooBBBoooooooooCoooAACoooooCDDoooooo", "size": 6, "moves": 3, "solution": ["B<3", "C^2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBoooooooooCoooAACoooooCDDoooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<3,C^2,A>3\n"]}} {"board": "BCCCDoBEAADoBEooooFoooGGFoHHIIJJJKKK", "size": 6, "moves": 3, "solution": ["G<2", "Dv2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BCCCDoBEAADoBEooooFoooGGFoHHIIJJJKKK\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<2,Dv2,A>2\n"]}} {"board": "BooooCBooooCBooDDDoooEoooooEoooAAEoo", "size": 6, "moves": 4, "solution": ["Bv3", "C<3", "E^1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BooooCBooooCBooDDDoooEoooooEoooAAEoo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv3,C<3,E^1,A>3\n"]}} {"board": "ooooBCoAAoBCDoooBoDoooooEEoooooooooo", "size": 6, "moves": 3, "solution": ["Bv2", "Bv2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBCoAAoBCDoooBoDoooooEEoooooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,Bv2,A>3\n"]}} {"board": "oBBBoCooAAoCDDDEECFFoGGGHooIIIHJJKKK", "size": 6, "moves": 4, "solution": ["G<1", "I<1", "Cv2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBoCooAAoCDDDEECFFoGGGHooIIIHJJKKK\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,I<1,Cv2,A>2\n"]}} {"board": "oAAooBCDEEoBCDoooBoDoFFFoooooooooGGo", "size": 6, "moves": 3, "solution": ["F<1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAooBCDEEoBCDoooBoDoFFFoooooooooGGo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Bv1,A>3\n"]}} {"board": "oooBoooooBooooooooooCDoEooCDoEAACDoE", "size": 6, "moves": 4, "solution": ["C^1", "D^1", "E^1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoooooBooooooooooCDoEooCDoEAACDoE\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^1,E^1,A>4\n"]}} {"board": "ooooooooBoooooBoooAABoCoooooCooooooo", "size": 6, "moves": 3, "solution": ["B^1", "C^2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooBoooooBoooAABoCoooooCooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,C^2,A>4\n"]}} {"board": "oAABoCoooBoCooDBoCooDoooooooooooEEEo", "size": 6, "moves": 3, "solution": ["Bv1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAABoCoooBoCooDBoCooDoooooooooooEEEo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>3\n"]}} {"board": "BoooooBoCoDoBoCoDEoAAoFEGoooFoGooooo", "size": 6, "moves": 3, "solution": ["E^1", "Fv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoooooBoCoDoBoCoDEoAAoFEGoooFoGooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,Fv1,A>3\n"]}} {"board": "ooBCCCoDBoEoFDBGEoFDoGEHFAAGoHoooIII", "size": 6, "moves": 3, "solution": ["G^1", "H^1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBCCCoDBoEoFDBGEoFDoGEHFAAGoHoooIII\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nG^1,H^1,A>3\n"]}} {"board": "ooBAACDDBooCoEEEFFGHIoJoGHIoJoGHIKKK", "size": 6, "moves": 4, "solution": ["E<1", "F<1", "Cv1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBAACDDBooCoEEEFFGHIoJoGHIoJoGHIKKK\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,F<1,Cv1,A>1\n"]}} {"board": "AAoBoooooBCooooBCooDDDoooEFFoooEoGGG", "size": 6, "moves": 3, "solution": ["D<1", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoBoooooBCooooBCooDDDoooEFFoooEoGGG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv1,A>4\n"]}} {"board": "oBBBooooooCoDDDoCEAAooCEooooooFFFooo", "size": 6, "moves": 3, "solution": ["C^1", "E^1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBooooooCoDDDoCEAAooCEooooooFFFooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,E^1,A>4\n"]}} {"board": "oBBBoooooooooooCooAAoCoooooCooooooDD", "size": 6, "moves": 3, "solution": ["B<1", "C^2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBoooooooooooCooAAoCoooooCooooooDD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,C^2,A>4\n"]}} {"board": "BooCCCBoooooBooDDDEoFoGHEoFoGHEoFAAH", "size": 6, "moves": 3, "solution": ["D<1", "H^1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BooCCCBoooooBooDDDEoFoGHEoFoGHEoFAAH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,H^1,A>1\n"]}} {"board": "oAABoCoDoBoCoDoooCEFFGGoEoHoIIooHJJo", "size": 6, "moves": 3, "solution": ["Bv1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAABoCoDoBoCoDoooCEFFGGoEoHoIIooHJJo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>3\n"]}} {"board": "BoCDooBoCDooBoCDEFAAooEFooGoEoooGHHH", "size": 6, "moves": 3, "solution": ["E^2", "F^1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoCDooBoCDooBoCDEFAAooEFooGoEoooGHHH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^2,F^1,A>4\n"]}} {"board": "ooooooooBBBoooCCCoooooDoooAADoooooDo", "size": 6, "moves": 4, "solution": ["B<1", "C<1", "D^2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooBBBoooCCCoooooDoooAADoooooDo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,C<1,D^2,A>2\n"]}} {"board": "oooBoooooBoooAABooooooooooCCDDooEEoo", "size": 6, "moves": 4, "solution": ["C<1", "E<1", "Bv3", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoooooBoooAABooooooooooCCDDooEEoo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,E<1,Bv3,A>3\n"]}} {"board": "oooBBBoooooooooooooooCCCoooooDoAAooD", "size": 6, "moves": 3, "solution": ["C<1", "D^1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBoooooooooooooooCCCoooooDoAAooD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,D^1,A>3\n"]}} {"board": "ooBoooAABooCooBoDCooooDooEoooooEoooo", "size": 6, "moves": 3, "solution": ["Bv2", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoooAABooCooBoDCooooDooEoooooEoooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,Bv1,A>4\n"]}} {"board": "oooBBBoAAooCoooooCoooDDDoooooooooEEE", "size": 6, "moves": 3, "solution": ["D<1", "Cv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBoAAooCoooooCoooDDDoooooooooEEE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Cv1,A>3\n"]}} {"board": "ooBBBoooooCoAAoDCooooDoooEooFFoEoooo", "size": 6, "moves": 4, "solution": ["B<1", "C^1", "Dv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBoooooCoAAoDCooooDoooEooFFoEoooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,C^1,Dv1,A>4\n"]}} {"board": "ooBBBoooAACoDDDoCEFooGGEFoHoIoFoHoIo", "size": 6, "moves": 3, "solution": ["G<1", "Cv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBoooAACoDDDoCEFooGGEFoHoIoFoHoIo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,Cv1,A>2\n"]}} {"board": "BoooCoBoAACooDooCooDoooEooFFFEoooGGE", "size": 6, "moves": 3, "solution": ["F<1", "Cv2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoooCoBoAACooDooCooDoooEooFFFEoooGGE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Cv2,A>2\n"]}} {"board": "BoooCoBoAACoBDDoooooEEEoFFooGHooooGH", "size": 6, "moves": 3, "solution": ["E<1", "Cv2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoooCoBoAACoBDDoooooEEEoFFooGHooooGH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Cv2,A>2\n"]}} {"board": "BCooDoBCooDEBoAAoEoFoGGEoFoHHHoFoooo", "size": 6, "moves": 3, "solution": ["H<1", "Ev2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BCooDoBCooDEBoAAoEoFoGGEoFoHHHoFoooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nH<1,Ev2,A>2\n"]}} {"board": "BAAooCBoooDCoooEDCoooEFFGGGooooooHHo", "size": 6, "moves": 4, "solution": ["E^1", "F<1", "Cv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BAAooCBoooDCoooEDCoooEFFGGGooooooHHo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,F<1,Cv1,A>3\n"]}} {"board": "AAoBoCoDDBECFoGBECFoGoEoHHHIIIJJJooo", "size": 6, "moves": 3, "solution": ["Bv1", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoBoCoDDBECFoGBECFoGoEoHHHIIIJJJooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>4\n"]}} {"board": "oooBoooAABoooooBoCoooooCooDDDooooooo", "size": 6, "moves": 3, "solution": ["D<2", "Bv2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoooAABoooooBoCoooooCooDDDooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<2,Bv2,A>3\n"]}} {"board": "AAoooBoooooBoooooBooooCCoooooooooDDo", "size": 6, "moves": 3, "solution": ["C<1", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoooBoooooBoooooBooooCCoooooooooDDo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,Bv1,A>4\n"]}} {"board": "BBBooCDDDEFCoooEFooAAEFooooGGGHHHoII", "size": 6, "moves": 3, "solution": ["E^1", "F^1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBooCDDDEFCoooEFooAAEFooooGGGHHHoII\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,F^1,A>3\n"]}} {"board": "oooooooooooooooooBooCDEBFoCDEoFAADEo", "size": 6, "moves": 3, "solution": ["D^1", "E^1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooooooooBooCDEBFoCDEoFAADEo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E^1,A>3\n"]}} {"board": "AAoooBCCoDDBooEoFFoGEHHHIGEoooIGoooo", "size": 6, "moves": 3, "solution": ["F<1", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoooBCCoDDBooEoFFoGEHHHIGEoooIGoooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Bv1,A>4\n"]}} {"board": "BooCCCBDDDooBooEEEAAooFooooGFooooGFo", "size": 6, "moves": 4, "solution": ["C<2", "E<2", "F^3", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BooCCCBDDDooBooEEEAAooFooooGFooooGFo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,E<2,F^3,A>4\n"]}} {"board": "ooooBoAAooBCoooooCoooooCoooDDDEEEooo", "size": 6, "moves": 4, "solution": ["Bv2", "D<1", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoAAooBCoooooCoooooCoooDDDEEEooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,D<1,Bv1,A>4\n"]}} {"board": "ooooooAAoooBoooooBoCCooBoooDDDoooooo", "size": 6, "moves": 3, "solution": ["D<1", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooAAoooBoooooBoCCooBoooDDDoooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv1,A>4\n"]}} {"board": "oooooooAAooBooCCCBoDoooEoDFFoEoDGGoo", "size": 6, "moves": 3, "solution": ["Ev1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooAAooBooCCCBoDoooEoDFFoEoDGGoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,Bv1,A>3\n"]}} {"board": "BBBCCCooooDooEAADFoEGoDFHIGJooHIGJoo", "size": 6, "moves": 3, "solution": ["Dv2", "Ev1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBCCCooooDooEAADFoEGoDFHIGJooHIGJoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv2,Ev1,A>2\n"]}} {"board": "ooooooBoooooBooCDoBooCDoAAoCDooooooo", "size": 6, "moves": 3, "solution": ["C^1", "D^1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooBoooooBooCDoBooCDoAAoCDooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^1,A>4\n"]}} {"board": "oAAooBCCooDBoEFFDBoEoGGHIEoooHIJJKKo", "size": 6, "moves": 3, "solution": ["Hv1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAooBCCooDBoEFFDBoEoGGHIEoooHIJJKKo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nHv1,Bv1,A>3\n"]}} {"board": "ooooBoooooBoAACoooooCoDoooCoDooEEoDo", "size": 6, "moves": 3, "solution": ["E<1", "Cv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoooooBoAACoooooCoDoooCoDooEEoDo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Cv1,A>4\n"]}} {"board": "ooBoooAABoooooCCDDoooooooooooooooooo", "size": 6, "moves": 3, "solution": ["C<2", "Bv2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoooAABoooooCCDDoooooooooooooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,Bv2,A>4\n"]}} {"board": "BooCCCBooDDDoEFGGGHEFIoJHEFIoJoooAAJ", "size": 6, "moves": 4, "solution": ["Fv1", "F<1", "J^1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BooCCCBooDDDoEFGGGHEFIoJHEFIoJoooAAJ\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nFv1,F<1,J^1,A>1\n"]}} {"board": "ooAAoBooooCBDoooCBDoEFFFDoEoGGoHHIIo", "size": 6, "moves": 4, "solution": ["E^2", "F<1", "Bv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAAoBooooCBDoooCBDoEFFFDoEoGGoHHIIo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^2,F<1,Bv1,A>2\n"]}} {"board": "oAAoBooCCoBooDooBooDoEEooDooFFoooooo", "size": 6, "moves": 3, "solution": ["E<1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAoBooCCoBooDooBooDoEEooDooFFoooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv1,A>3\n"]}} {"board": "oooBBBCCCooooooDooEoFDGoEoFoGHAAFoGH", "size": 6, "moves": 4, "solution": ["F^1", "G^1", "H^1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBCCCooooooDooEoFDGoEoFoGHAAFoGH\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,G^1,H^1,A>4\n"]}} {"board": "oAABooCCCBoooooBoooooDDoEooFFFEGGGHH", "size": 6, "moves": 3, "solution": ["D<2", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAABooCCCBoooooBoooooDDoEooFFFEGGGHH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<2,Bv1,A>3\n"]}} {"board": "ooooooooBCCCAABoooooBoooooooooooDDoo", "size": 6, "moves": 3, "solution": ["D<2", "Bv2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooBCCCAABoooooBoooooooooooDDoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<2,Bv2,A>4\n"]}} {"board": "ooooooBBBooooooCCCDoAAEFDoooEFooooEF", "size": 6, "moves": 4, "solution": ["C<2", "E^3", "F^3", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooBBBooooooCCCDoAAEFDoooEFooooEF\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,E^3,F^3,A>2\n"]}} {"board": "BBBCCCooDEEEAADooooFFGHooIIGHooJJGHo", "size": 6, "moves": 4, "solution": ["F<1", "I<1", "Dv2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBCCCooDEEEAADooooFFGHooIIGHooJJGHo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,I<1,Dv2,A>4\n"]}} {"board": "BoooooBCCCooBoDDDoooooooAAooEoooFFEo", "size": 6, "moves": 3, "solution": ["D<1", "E^2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoooooBCCCooBoDDDoooooooAAooEoooFFEo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,E^2,A>4\n"]}} {"board": "oooBBBCAADooCooDooEooDooEooFFoEGGGoo", "size": 6, "moves": 3, "solution": ["F<2", "Dv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBCAADooCooDooEooDooEooFFoEGGGoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<2,Dv1,A>3\n"]}} {"board": "oooBCooooBCooooBCooooDDDoAAooEooFFFE", "size": 6, "moves": 3, "solution": ["D<1", "E^2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBCooooBCooooBCooooDDDoAAooEooFFFE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,E^2,A>3\n"]}} {"board": "oBBBooooCoooooCoooAACoooooooDDoooooo", "size": 6, "moves": 3, "solution": ["B>2", "C^1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBooooCoooooCoooAACoooooooDDoooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB>2,C^1,A>4\n"]}} {"board": "AAooBoCCooBoDDoEEFGHHHIFGJJJIoooKKIo", "size": 6, "moves": 3, "solution": ["E<1", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAooBoCCooBoDDoEEFGHHHIFGJJJIoooKKIo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv1,A>4\n"]}} {"board": "ooooooooooBoooooBooooCBDAAoCoDoEEEoD", "size": 6, "moves": 3, "solution": ["C^1", "D^2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooBoooooBooooCBDAAoCoDoEEEoD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^2,A>4\n"]}} {"board": "oAABoooCCBoooooBoooooDDDEFFoGoEoooGo", "size": 6, "moves": 3, "solution": ["D<3", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAABoooCCBoooooBoooooDDDEFFoGoEoooGo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<3,Bv1,A>3\n"]}} {"board": "AAoooBCCDDDBoEEFoGHHHFIGJoooIGJoooIo", "size": 6, "moves": 3, "solution": ["Gv1", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoooBCCDDDBoEEFoGHHHFIGJoooIGJoooIo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nGv1,Bv1,A>4\n"]}} {"board": "oBoooooBoooooooooCAAooDCooooDCEEooFF", "size": 6, "moves": 3, "solution": ["C^2", "D^2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoooooBoooooooooCAAooDCooooDCEEooFF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,D^2,A>4\n"]}} {"board": "ooBoooooBooooooooooooCooAAoCoDEEECoD", "size": 6, "moves": 3, "solution": ["C^2", "D^2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoooooBooooooooooooCooAAoCoDEEECoD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,D^2,A>4\n"]}} {"board": "BBBooooooooooooCoooooCoDoAACEDooooED", "size": 6, "moves": 4, "solution": ["C^1", "D^2", "E^2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBooooooooooooCoooooCoDoAACEDooooED\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^2,E^2,A>3\n"]}} {"board": "ooBCCCAABooDooBooDoooEEDooooFFoooooo", "size": 6, "moves": 4, "solution": ["Bv2", "F<1", "Cv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBCCCAABooDooBooDoooEEDooooFFoooooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,F<1,Cv1,A>4\n"]}} {"board": "oooBBBoooooooooCCCoooDoEoAADoEoooDoo", "size": 6, "moves": 4, "solution": ["C<3", "D^2", "E^1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBoooooooooCCCoooDoEoAADoEoooDoo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<3,D^2,E^1,A>3\n"]}} {"board": "oooooooooooooooooooooooBAACooBooCooB", "size": 6, "moves": 3, "solution": ["B^2", "C^2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooooooooooooooBAACooBooCooB\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^2,C^2,A>4\n"]}} {"board": "oBoooooBAACDEEooCDFFFGCoHHoGooIIIGoo", "size": 6, "moves": 3, "solution": ["Cv1", "Cv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoooooBAACDEEooCDFFFGCoHHoGooIIIGoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Cv1,A>2\n"]}} {"board": "BoooCoBAAoCoBoDDEoFFooEoooooooGGGooo", "size": 6, "moves": 3, "solution": ["Ev2", "Cv2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoooCoBAAoCoBoDDEoFFooEoooooooGGGooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv2,Cv2,A>3\n"]}} {"board": "oooooooooBoooooBoooooooCooooDCAAooDC", "size": 6, "moves": 3, "solution": ["C^1", "D^1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBoooooBoooooooCooooDCAAooDC\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^1,A>4\n"]}} {"board": "ooBBBoooAACoDEEoCoDooFFFDoooGGHHHooo", "size": 6, "moves": 3, "solution": ["F<2", "Cv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBoooAACoDEEoCoDooFFFDoooGGHHHooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<2,Cv1,A>2\n"]}} {"board": "oooooooooBBBoooooooAAoCoDDooCoooooCo", "size": 6, "moves": 3, "solution": ["B<2", "C^3", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBBBoooooooAAoCoDDooCoooooCo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,C^3,A>3\n"]}} {"board": "oooBoCoooBoCAAoBoooDDDoooooooooooooo", "size": 6, "moves": 3, "solution": ["D<1", "Bv3", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoCoooBoCAAoBoooDDDoooooooooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv3,A>4\n"]}} {"board": "AAoBCooDoBCooDooooooooooooEEoooooooo", "size": 6, "moves": 3, "solution": ["Bv1", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoBCooDoBCooDooooooooooooEEoooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>4\n"]}} {"board": "ooooooooooooAABCooooBCooooDDDooooooo", "size": 6, "moves": 3, "solution": ["B^2", "C^2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooooAABCooooBCooooDDDooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^2,C^2,A>4\n"]}} {"board": "oooooooooooooooBBBoCCCDEooooDEooAADE", "size": 6, "moves": 4, "solution": ["B<2", "D^1", "E^1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooooooBBBoCCCDEooooDEooAADE\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,D^1,E^1,A>2\n"]}} {"board": "oBBBoooCooDEFCooDEFAAGoEFooGHIoooGHI", "size": 6, "moves": 4, "solution": ["B<1", "E^1", "G^3", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBoooCooDEFCooDEFAAGoEFooGHIoooGHI\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,E^1,G^3,A>3\n"]}} {"board": "ooooooooooBCDEEEBCDoooBCoooooFoooAAF", "size": 6, "moves": 3, "solution": ["C^1", "F^1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooBCDEEEBCDoooBCoooooFoooAAF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,F^1,A>1\n"]}} {"board": "oooBBBCAAoDoCoooDEooooDEFFoGGooooooo", "size": 6, "moves": 3, "solution": ["G<1", "Dv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBCAAoDoCoooDEooooDEFFoGGooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,Dv1,A>3\n"]}} {"board": "BBBCCCDooooEDFAAoEGFHooEGFHoIIGJJKKo", "size": 6, "moves": 3, "solution": ["I<1", "Ev2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBCCCDooooEDFAAoEGFHooEGFHoIIGJJKKo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nI<1,Ev2,A>2\n"]}} {"board": "BAAoCoBoooCoBooDDDoEoooooEFooooEFGGG", "size": 6, "moves": 3, "solution": ["D<2", "Cv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BAAoCoBoooCoBooDDDoEoooooEFooooEFGGG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<2,Cv1,A>3\n"]}} {"board": "BoAAoCBDEEoCoDoFFFoDoGGGoHHIIIooooJJ", "size": 6, "moves": 3, "solution": ["F<1", "Cv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoAAoCBDEEoCoDoFFFoDoGGGoHHIIIooooJJ\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Cv1,A>2\n"]}} {"board": "ooooooAABoooooBoooooBCCooDDDoooooooo", "size": 6, "moves": 3, "solution": ["D>2", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooAABoooooBoooooBCCooDDDoooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD>2,Bv1,A>4\n"]}} {"board": "AAooBoooooBoooooCCDoEooFDoEoGFDoEoGF", "size": 6, "moves": 3, "solution": ["C<2", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAooBoooooBoooooCCDoEooFDoEoGFDoEoGF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,Bv1,A>4\n"]}} {"board": "ooAABoCoooBoCooDDEFoGHoEFIGHJKFIoHJK", "size": 6, "moves": 3, "solution": ["D<1", "Bv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAABoCoooBoCooDDEFoGHoEFIGHJKFIoHJK\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv1,A>2\n"]}} {"board": "ooBBBoCooDDDCooooECooAAEoFGooEoFGHHH", "size": 6, "moves": 3, "solution": ["D<1", "E^2", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBoCooDDDCooooECooAAEoFGooEoFGHHH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,E^2,A>1\n"]}} {"board": "oooooBooAAoBoooCoDoooCoDoooooooooooo", "size": 6, "moves": 3, "solution": ["Dv2", "Bv2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBooAAoBoooCoDoooCoDoooooooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv2,Bv2,A>2\n"]}} {"board": "oooBBBoooCCCooDooEooDooEooAAoEoooooo", "size": 6, "moves": 3, "solution": ["C<1", "E^1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBoooCCCooDooEooDooEooAAoEoooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,E^1,A>2\n"]}} {"board": "oooBBBooCCCoooAADoooooDoooooDoooEEEo", "size": 6, "moves": 3, "solution": ["E<1", "Dv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBooCCCoooAADoooooDoooooDoooEEEo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Dv1,A>2\n"]}} {"board": "oooooBAAoooBoCCCoBDoooEEDoooooooooFF", "size": 6, "moves": 3, "solution": ["E<1", "Bv2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBAAoooBoCCCoBDoooEEDoooooooooFF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv2,A>4\n"]}} {"board": "oAABooCooBooCDDBooCooEEoooooooFFFooo", "size": 6, "moves": 3, "solution": ["E<2", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAABooCooBooCDDBooCooEEoooooooFFFooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<2,Bv1,A>3\n"]}} {"board": "ooAABoooooBooooCCoooDoooooDooooooooo", "size": 6, "moves": 3, "solution": ["C<1", "Bv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAABoooooBooooCCoooDoooooDooooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,Bv1,A>2\n"]}} {"board": "oAABooCCCBDDoooBoEFoGGoEFHoIIIFHJJJo", "size": 6, "moves": 3, "solution": ["G<1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAABooCCCBDDoooBoEFoGGoEFHoIIIFHJJJo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,Bv1,A>3\n"]}} {"board": "ooBBBooooCCCooDDDEFoGHoEFoGHoEFAAHoo", "size": 6, "moves": 3, "solution": ["D<2", "H^1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBooooCCCooDDDEFoGHoEFoGHoEFAAHoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<2,H^1,A>3\n"]}} {"board": "oooBBBoCCCooooooooDoAAoEDooFoEDooFoE", "size": 6, "moves": 3, "solution": ["B<1", "E^3", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBoCCCooooooooDoAAoEDooFoEDooFoE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,E^3,A>2\n"]}} {"board": "BBBCoooAACoDoEoooDoEFooDoEFGooooFGoo", "size": 6, "moves": 3, "solution": ["Cv2", "Cv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBCoooAACoDoEoooDoEFooDoEFGooooFGoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,Cv1,A>3\n"]}} {"board": "oAABoooooBCCDooBooDEEEooDFoGGGoFoooo", "size": 6, "moves": 4, "solution": ["D^2", "E<1", "Cv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAABoooooBCCDooBooDEEEooDFoGGGoFoooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,E<1,Cv1,A>3\n"]}} {"board": "oooBooAAoBCoooooCoooooooooooooooooDD", "size": 6, "moves": 3, "solution": ["Bv2", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBooAAoBCoooooCoooooooooooooooooDD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,Bv1,A>4\n"]}} {"board": "oBoooooBoCCCoBAAoDoooooDoooEEEFFFooo", "size": 6, "moves": 3, "solution": ["C<1", "D^2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoooooBoCCCoBAAoDoooooDoooEEEFFFooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,D^2,A>2\n"]}} {"board": "oooooooooBooooCBooAACBDoooooDooooEEE", "size": 6, "moves": 4, "solution": ["B^1", "C^1", "D^2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBooooCBooAACBDoooooDooooEEE\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,C^1,D^2,A>4\n"]}} {"board": "AAooBoooooBooooCCCoDoEEooDoooooDoooo", "size": 6, "moves": 3, "solution": ["C<2", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAooBoooooBooooCCCoDoEEooDoooooDoooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,Bv1,A>4\n"]}} {"board": "BBBCCCDoooooDooAAEDoFooEGGFooEooooHH", "size": 6, "moves": 3, "solution": ["H<1", "Ev1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBCCCDoooooDooAAEDoFooEGGFooEooooHH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nH<1,Ev1,A>1\n"]}} {"board": "oBBBooooooooCooDooCAADooEEoDoooooooo", "size": 6, "moves": 3, "solution": ["B<1", "D^2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBooooooooCooDooCAADooEEoDoooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,D^2,A>3\n"]}} {"board": "ooAABoCoooBoCoDoBoooDEEEoooooooFFFGG", "size": 6, "moves": 4, "solution": ["D^1", "E<2", "Bv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAABoCoooBoCoDoBoooDEEEoooooooFFFGG\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E<2,Bv1,A>2\n"]}} {"board": "ooBBBooCDEoooCDEoooCoFFFAAoooGHHoooG", "size": 6, "moves": 3, "solution": ["F<1", "G^2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBooCDEoooCDEoooCoFFFAAoooGHHoooG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,G^2,A>4\n"]}} {"board": "ooooooBCCCDoBoooDoAAEoDoFFEoGGooHHII", "size": 6, "moves": 4, "solution": ["D^1", "H<2", "Ev1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooBCCCDoBoooDoAAEoDoFFEoGGooHHII\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,H<2,Ev1,A>4\n"]}} {"board": "ooBBBoAAooCoooooCoDDooCoooooEEooFFFo", "size": 6, "moves": 3, "solution": ["E<2", "Cv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBoAAooCoooooCoDDooCoooooEEooFFFo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<2,Cv1,A>4\n"]}} {"board": "oooBBBoCCCoDEoFFFDEoAAoDEooooGHHHooG", "size": 6, "moves": 3, "solution": ["B<1", "D^1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBoCCCoDEoFFFDEoAAoDEooooGHHHooG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,D^1,A>2\n"]}} {"board": "oooBoooooBCoooooCoooooCoooooDoooAADo", "size": 6, "moves": 3, "solution": ["C^1", "D^1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoooooBCoooooCoooooCoooooDoooAADo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^1,A>2\n"]}} {"board": "BBBooooooCCCDDDooooooEoFoAAEoFoooooF", "size": 6, "moves": 4, "solution": ["C<1", "E^1", "F^2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBooooooCCCDDDooooooEoFoAAEoFoooooF\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,E^1,F^2,A>3\n"]}} {"board": "BooAACBooooCBooDDEFooooEFooooooooooo", "size": 6, "moves": 3, "solution": ["Ev1", "Cv1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BooAACBooooCBooDDEFooooEFooooooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,Cv1,A>1\n"]}} {"board": "oBBBoooAACoDooECoDooECoDooooFFGGoooo", "size": 6, "moves": 4, "solution": ["F<3", "Cv1", "Cv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBoooAACoDooECoDooECoDooooFFGGoooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<3,Cv1,Cv1,A>3\n"]}} {"board": "ooAABoooCCBoDooEEEDFooGGoFHHoooFoIII", "size": 6, "moves": 3, "solution": ["E<2", "Bv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAABoooCCBoDooEEEDFooGGoFHHoooFoIII\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<2,Bv1,A>2\n"]}} {"board": "ooooBooooCBooAACBoDDDooooooooooooooo", "size": 6, "moves": 3, "solution": ["Bv3", "B^1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBooooCBooAACBoDDDooooooooooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv3,B^1,A>3\n"]}} {"board": "BooCooBooCoDoAAooDEoooFDEGGoFoEooHHH", "size": 6, "moves": 3, "solution": ["H<1", "Dv2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BooCooBooCoDoAAooDEoooFDEGGoFoEooHHH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nH<1,Dv2,A>3\n"]}} {"board": "oAAoBoCoooBoCoDDDoooEoFFooEGHHoooGoo", "size": 6, "moves": 3, "solution": ["D<1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAoBoCoooBoCoDDDoooEoFFooEGHHoooGoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv1,A>3\n"]}} {"board": "ooBoooAABoooooCCoooooooooooooDoEEEoD", "size": 6, "moves": 3, "solution": ["C<2", "Bv2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoooAABoooooCCoooooooooooooDoEEEoD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,Bv2,A>4\n"]}} {"board": "oooooooAAoBoooooBoooCDEFooCDEFooCDoF", "size": 6, "moves": 3, "solution": ["Ev1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooAAoBoooooBoooCDEFooCDEFooCDoF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,Bv1,A>3\n"]}} {"board": "BooCCCBoAAoDooEEoDooFoGGooFooHooFooH", "size": 6, "moves": 3, "solution": ["G<1", "Dv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BooCCCBoAAoDooEEoDooFoGGooFooHooFooH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,Dv1,A>2\n"]}} {"board": "BoCDDDBoCooooooooEooAAoEFooooEFoGGoo", "size": 6, "moves": 4, "solution": ["Cv1", "C<1", "E^2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoCDDDBoCooooooooEooAAoEFooooEFoGGoo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,C<1,E^2,A>2\n"]}} {"board": "oAAooBoCCCoBDDDEEFGGoHoFoIoHJooIoHJo", "size": 6, "moves": 3, "solution": ["Fv1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAooBoCCCoBDDDEEFGGoHoFoIoHJooIoHJo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nFv1,Bv1,A>3\n"]}} {"board": "oooBoooAABoooooBoooooCCooDDoEEFFoooo", "size": 6, "moves": 3, "solution": ["C<2", "Bv2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoooAABoooooBoooooCCooDDoEEFFoooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,Bv2,A>3\n"]}} {"board": "oooooooBoCCCoBoooooooooDAAoooDoooooD", "size": 6, "moves": 3, "solution": ["C<1", "D^2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooBoCCCoBoooooooooDAAoooDoooooD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,D^2,A>4\n"]}} {"board": "ooooBoooooBoooooooAAooCoDDDoCoEEoFFo", "size": 6, "moves": 3, "solution": ["F<1", "Cv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoooooBoooooooAAooCoDDDoCoEEoFFo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Cv1,A>4\n"]}} {"board": "oooBBBooCooDooCAADooEEoDFFGGoooHHHII", "size": 6, "moves": 4, "solution": ["H<1", "I<1", "Dv2", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBooCooDooCAADooEEoDFFGGoooHHHII\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nH<1,I<1,Dv2,A>1\n"]}} {"board": "ooBoooooBoooAABooooCCoDDoEEEoooooooo", "size": 6, "moves": 4, "solution": ["C<1", "E>2", "Bv3", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoooooBoooAABooooCCoDDoEEEoooooooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,E>2,Bv3,A>4\n"]}} {"board": "ooBoooooBoooooBooooooCCCoooDoooAADoo", "size": 6, "moves": 3, "solution": ["C<3", "D^1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoooooBoooooBooooooCCCoooDoooAADoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<3,D^1,A>3\n"]}} {"board": "ooooooBBBooCoAADoCoooDECoooDEooFFooo", "size": 6, "moves": 3, "solution": ["Cv2", "Cv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooBBBooCoAADoCoooDECoooDEooFFooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,Cv1,A>3\n"]}} {"board": "oooooooooBoooooBooAACoDoEECoDFooCoDF", "size": 6, "moves": 3, "solution": ["C^3", "D^3", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBoooooBooAACoDoEECoDFooCoDF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^3,D^3,A>4\n"]}} {"board": "oooooBoooooBoAAooBCooDDDCooEEoCooFFF", "size": 6, "moves": 4, "solution": ["D<1", "F<1", "Bv3", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoooooBoAAooBCooDDDCooEEoCooFFF\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,F<1,Bv3,A>3\n"]}} {"board": "ooooBooAAoBoCoDDooCooEEEFoooooFooooo", "size": 6, "moves": 3, "solution": ["E<2", "Bv2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBooAAoBoCoDDooCooEEEFoooooFooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<2,Bv2,A>3\n"]}} {"board": "oBoooooBoCoooBoCDooEooDFoEAADFoooGGG", "size": 6, "moves": 3, "solution": ["D^1", "F^1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoooooBoCoooBoCDooEooDFoEAADFoooGGG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,F^1,A>2\n"]}} {"board": "oooBBBoooooCDooooCDEoAACDEoooooEFFoo", "size": 6, "moves": 3, "solution": ["B<1", "C^1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBoooooCDooooCDEoAACDEoooooEFFoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,C^1,A>1\n"]}} {"board": "ooooooBBBooooooCCCoooooDAAoooDEEEFFD", "size": 6, "moves": 3, "solution": ["C<1", "D^2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooBBBooooooCCCoooooDAAoooDEEEFFD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,D^2,A>4\n"]}} {"board": "oooBBBCDDDEFCoAAEFGHoIJJGHKIoLGHKooL", "size": 6, "moves": 4, "solution": ["B<2", "E^1", "F^1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBCDDDEFCoAAEFGHoIJJGHKIoLGHKooL\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,E^1,F^1,A>2\n"]}} {"board": "oooBBBoCCCoooooDDDoooAAEFooooEFGGooE", "size": 6, "moves": 4, "solution": ["B<1", "D<1", "E^3", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBoCCCoooooDDDoooAAEFooooEFGGooE\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,D<1,E^3,A>1\n"]}} {"board": "oBBBoooooCooAAoCoooooCoooDDDooooooEE", "size": 6, "moves": 3, "solution": ["D<1", "Cv2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBoooooCooAAoCoooooCoooDDDooooooEE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Cv2,A>4\n"]}} {"board": "BooCCCBooDooBooDoooEoDoooEooFGAAooFG", "size": 6, "moves": 3, "solution": ["F^1", "G^1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BooCCCBooDooBooDoooEoDoooEooFGAAooFG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,G^1,A>4\n"]}} {"board": "oBoooooBoooooooooooCoooooCAADEoCooDE", "size": 6, "moves": 3, "solution": ["D^2", "E^2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoooooBoooooooooooCoooooCAADEoCooDE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,E^2,A>2\n"]}} {"board": "ooBBBoooCoooooCoooAACoooooooooooooDD", "size": 6, "moves": 3, "solution": ["B>1", "C^1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBoooCoooooCoooAACoooooooooooooDD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB>1,C^1,A>4\n"]}} {"board": "BBBooooooooooooooooooCCCoAAooDoooooD", "size": 6, "moves": 3, "solution": ["C<1", "D^2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBooooooooooooooooooCCCoAAooDoooooD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,D^2,A>3\n"]}} {"board": "ooooooooooooBBBooooAACDoEEECDooooooo", "size": 6, "moves": 3, "solution": ["C^2", "D^2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooooBBBooooAACDoEEECDooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,D^2,A>3\n"]}} {"board": "ooAABoooooBooooCCCDDooooooEEFFoGGooo", "size": 6, "moves": 3, "solution": ["C<2", "Bv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAABoooooBooooCCCDDooooooEEFFoGGooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,Bv1,A>2\n"]}} {"board": "oooooooBBBoCoAAooCoooooCoooDDDoooooo", "size": 6, "moves": 3, "solution": ["D<1", "Cv2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooBBBoCoAAooCoooooCoooDDDoooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Cv2,A>3\n"]}} {"board": "ooooooBoooooBooooooooCCCoDooEooDAAEo", "size": 6, "moves": 3, "solution": ["C<2", "E^1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooBoooooBooooooooCCCoDooEooDAAEo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,E^1,A>2\n"]}} {"board": "BBBooCoAAooCoooDDDoooEEoFFFGGGoooHHo", "size": 6, "moves": 3, "solution": ["D<1", "Cv2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBooCoAAooCoooDDDoooEEoFFFGGGoooHHo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Cv2,A>3\n"]}} {"board": "oBBBooooCoDoAACoDoEFCoDoEFoGooEFoGoo", "size": 6, "moves": 3, "solution": ["Cv2", "Cv2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBooooCoDoAACoDoEFCoDoEFoGooEFoGoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,Cv2,A>4\n"]}} {"board": "oBoooooBAACDoBooCDEEoooDooooFFoooooo", "size": 6, "moves": 4, "solution": ["Cv1", "F<1", "Cv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoooooBAACDoBooCDEEoooDooooFFoooooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,F<1,Cv1,A>2\n"]}} {"board": "BCCCoDBooooDBEoAADFEGGGoFEoHHHIIJJJo", "size": 6, "moves": 3, "solution": ["H<1", "Dv3", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BCCCoDBooooDBEoAADFEGGGoFEoHHHIIJJJo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nH<1,Dv3,A>1\n"]}} {"board": "ooooBooAAoBCDDoEECFGHoooFGHIJKFGoIJK", "size": 6, "moves": 4, "solution": ["Cv1", "D<1", "Bv2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBooAAoBCDDoEECFGHoooFGHIJKFGoIJK\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,D<1,Bv2,A>3\n"]}} {"board": "ooBCooAABCooooBoDooEooDoFEooDGFEHHHG", "size": 6, "moves": 3, "solution": ["Bv2", "Bv2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBCooAABCooooBoDooEooDoFEooDGFEHHHG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,Bv2,A>4\n"]}} {"board": "ooBoooooBCCCooBoooDEoooFDEoAAFDEoooF", "size": 6, "moves": 4, "solution": ["Bv2", "B<1", "F^2", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoooooBCCCooBoooDEoooFDEoAAFDEoooF\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,B<1,F^2,A>1\n"]}} {"board": "ooBoooAABoooooBCCCoooooooDDDoooooooo", "size": 6, "moves": 3, "solution": ["D>2", "Bv2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoooAABoooooBCCCoooooooDDDoooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD>2,Bv2,A>4\n"]}} {"board": "BoooooBoooCoBoooCoooooCDAAEooDooEooD", "size": 6, "moves": 3, "solution": ["D^2", "E^2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoooooBoooCoBoooCoooooCDAAEooDooEooD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,E^2,A>4\n"]}} {"board": "oooooooooooBoooCoBoooCoDoooooDoAAooD", "size": 6, "moves": 3, "solution": ["B^1", "D^1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooBoooCoBoooCoDoooooDoAAooD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,D^1,A>3\n"]}} {"board": "oBoooCDBoAACDBEooCFoEoooFoEGGGFHHooo", "size": 6, "moves": 4, "solution": ["E^1", "G<1", "Cv2", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoooCDBoAACDBEooCFoEoooFoEGGGFHHooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,G<1,Cv2,A>1\n"]}} {"board": "oooooooBBBoooooooCooAADCooEoDCooEoDo", "size": 6, "moves": 3, "solution": ["C^2", "D^3", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooBBBoooooooCooAADCooEoDCooEoDo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,D^3,A>2\n"]}} {"board": "oooAABoooCoBDDoCoBEooCoFEGHHHFEGoIII", "size": 6, "moves": 4, "solution": ["I<1", "Fv1", "Bv1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooAABoooCoBDDoCoBEooCoFEGHHHFEGoIII\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nI<1,Fv1,Bv1,A>1\n"]}} {"board": "ooBBBooCCCooDDDoEooAAoEoooooEooFFoGG", "size": 6, "moves": 3, "solution": ["B<1", "E^2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBooCCCooDDDoEooAAoEoooooEooFFoGG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,E^2,A>3\n"]}} {"board": "ooBBBoooooCoooDoCoAADoCoooEEEoooFFFo", "size": 6, "moves": 4, "solution": ["B<1", "C^1", "D^1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBoooooCoooDoCoAADoCoooEEEoooFFFo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,C^1,D^1,A>4\n"]}} {"board": "ooooooooooBoooooBoAACoBoooCooooooooo", "size": 6, "moves": 3, "solution": ["B^1", "C^2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooBoooooBoAACoBoooCooooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,C^2,A>4\n"]}} {"board": "ooooooBBBooCooooDCooAADCoooEEEoooooo", "size": 6, "moves": 3, "solution": ["C^1", "D^1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooBBBooCooooDCooAADCoooEEEoooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^1,A>2\n"]}} {"board": "ooooooBoCCCoBoDoooooDoooAADoEoooooEo", "size": 6, "moves": 4, "solution": ["C>1", "D^1", "E^2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooBoCCCoBoDoooooDoooAADoEoooooEo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC>1,D^1,E^2,A>4\n"]}} {"board": "oooooBoooooBAAoooBCoooDDCooooooooooo", "size": 6, "moves": 3, "solution": ["D<1", "Bv3", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoooooBAAoooBCoooDDCooooooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv3,A>4\n"]}} {"board": "oAABoCoooBoCoDDBoCEEEoooooooooooFFGG", "size": 6, "moves": 3, "solution": ["Bv1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAABoCoooBoCoDDBoCEEEoooooooooooFFGG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>3\n"]}} {"board": "oooBooAAoBoooooBoCoooooCooDDDoEEEFFF", "size": 6, "moves": 3, "solution": ["D<2", "Bv2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBooAAoBoooooBoCoooooCooDDDoEEEFFF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<2,Bv2,A>4\n"]}} {"board": "oAABoCoooBoCoooDDCoooooooooEEEoooooo", "size": 6, "moves": 4, "solution": ["Cv1", "D<2", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAABoCoooBoCoooDDCoooooooooEEEoooooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,D<2,Bv1,A>3\n"]}} {"board": "oAABoCDDDBECFFFBEoGHHoEoGIIIJJGooKKo", "size": 6, "moves": 3, "solution": ["Bv1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAABoCDDDBECFFFBEoGHHoEoGIIIJJGooKKo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>3\n"]}} {"board": "oooooooooooBAACooBDoCoEBDoCoEoDooooo", "size": 6, "moves": 3, "solution": ["Bv2", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooBAACooBDoCoEBDoCoEoDooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,Bv1,A>4\n"]}} {"board": "oooBooCCCBooAADBooooDoEEooooFoooGGFo", "size": 6, "moves": 4, "solution": ["Dv1", "G<1", "Bv3", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBooCCCBooAADBooooDoEEooooFoooGGFo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,G<1,Bv3,A>4\n"]}} {"board": "BBBooooooCoDoAACoDooEEEoooFoGGooFooo", "size": 6, "moves": 3, "solution": ["C^1", "D^1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBooooooCoDoAACoDooEEEoooFoGGooFooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^1,A>3\n"]}} {"board": "oooAABooCCoBDDDooBEFoGGGEFHIIIEFHJJJ", "size": 6, "moves": 3, "solution": ["G<1", "Bv1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooAABooCCoBDDDooBEFoGGGEFHIIIEFHJJJ\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,Bv1,A>1\n"]}} {"board": "oooooBAAooCBDEEoCBDoooooDooooooooFFF", "size": 6, "moves": 3, "solution": ["Bv2", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBAAooCBDEEoCBDoooooDooooooooFFF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,Bv1,A>4\n"]}} {"board": "oooooooooooooooooBooAACBooooCooooooo", "size": 6, "moves": 3, "solution": ["B^1", "C^2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooooooooBooAACBooooCooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,C^2,A>2\n"]}} {"board": "AABoCoooBoCDooBoCDoooEEDoFFooooooGGG", "size": 6, "moves": 4, "solution": ["E<3", "Bv1", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AABoCoooBoCDooBoCDoooEEDoFFooooooGGG\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<3,Bv1,Bv1,A>4\n"]}} {"board": "oooooBoAAooBCCCooBoDDDoooEEoFFoooooo", "size": 6, "moves": 3, "solution": ["F<1", "Bv2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoAAooBCCCooBoDDDoooEEoFFoooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Bv2,A>3\n"]}} {"board": "ooBBBCDDDooCoAAooCooEoooFFEGoooooGHH", "size": 6, "moves": 4, "solution": ["G^1", "H<1", "Cv3", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBCDDDooCoAAooCooEoooFFEGoooooGHH\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nG^1,H<1,Cv3,A>3\n"]}} {"board": "oBoooooBoCoooBoCoooooCDEooAADEoFFooo", "size": 6, "moves": 3, "solution": ["D^1", "E^1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoooooBoCoooBoCoooooCDEooAADEoFFooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E^1,A>2\n"]}} {"board": "oooAABoooooBoooooBoooCCCoooDDooEEooo", "size": 6, "moves": 3, "solution": ["C<1", "Bv1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooAABoooooBoooooBoooCCCoooDDooEEooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,Bv1,A>1\n"]}} {"board": "BoooooBCooooBCDEooAADEooooDEoooFFooo", "size": 6, "moves": 3, "solution": ["D^2", "E^2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoooooBCooooBCDEooAADEooooDEoooFFooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,E^2,A>4\n"]}} {"board": "oooBoooooBoooAABoooooooooooCCCoooooo", "size": 6, "moves": 3, "solution": ["C<3", "Bv3", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoooooBoooAABoooooooooooCCCoooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<3,Bv3,A>3\n"]}} {"board": "oAABCoDDoBCEFFFBoEGoooHoGIIIHJGoKKKJ", "size": 6, "moves": 3, "solution": ["Bv1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAABCoDDoBCEFFFBoEGoooHoGIIIHJGoKKKJ\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>3\n"]}} {"board": "oBoooooBooooCBoDDDCoAAoECoFGGEooFooE", "size": 6, "moves": 3, "solution": ["D<1", "E^3", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoooooBooooCBoDDDCoAAoECoFGGEooFooE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,E^3,A>2\n"]}} {"board": "AABoCoooBoCoooBooooooooooooDDoEEFFFo", "size": 6, "moves": 3, "solution": ["Bv1", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AABoCoooBoCoooBooooooooooooDDoEEFFFo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>4\n"]}} {"board": "oooBBBAAoCooDDDCEEoFGGooHFIIoJHFKKKJ", "size": 6, "moves": 3, "solution": ["G>2", "Cv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBAAoCooDDDCEEoFGGooHFIIoJHFKKKJ\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nG>2,Cv1,A>4\n"]}} {"board": "BBBooCDooEoCDAAEoCDooFFoGGGoHHIIoJJo", "size": 6, "moves": 4, "solution": ["E^1", "H<1", "Dv3", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBooCDooEoCDAAEoCDooFFoGGGoHHIIoJJo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,H<1,Dv3,A>3\n"]}} {"board": "BCoooDBCAAoDBooEEEooFFFoGGoHHHooIIJJ", "size": 6, "moves": 3, "solution": ["E<1", "Dv2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BCoooDBCAAoDBooEEEooFFFoGGoHHHooIIJJ\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Dv2,A>2\n"]}} {"board": "ooAABCooooBCooooBooooDDEoooFFEoGGGoE", "size": 6, "moves": 4, "solution": ["Cv1", "D<1", "Bv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAABCooooBCooooBooooDDEoooFFEoGGGoE\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,D<1,Bv1,A>2\n"]}} {"board": "oooBBBCAADooCooDEECooFFoooGGoooooHHH", "size": 6, "moves": 3, "solution": ["F<2", "Dv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBCAADooCooDEECooFFoooGGoooooHHH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<2,Dv1,A>3\n"]}} {"board": "oooBooCAABooCooBooCDEEoooDoooooDoFFF", "size": 6, "moves": 3, "solution": ["E>2", "Bv2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBooCAABooCooBooCDEEoooDoooooDoFFF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE>2,Bv2,A>3\n"]}} {"board": "oooooooooooooooBoooooBoooAACDooooCDo", "size": 6, "moves": 4, "solution": ["B^2", "C^2", "D^2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooooooBoooooBoooAACDooooCDo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^2,C^2,D^2,A>3\n"]}} {"board": "ooooooBBBoCDoAAECDFFFEGooooEGoooooGo", "size": 6, "moves": 4, "solution": ["C^1", "D^1", "Ev1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooBBBoCDoAAECDFFFEGooooEGoooooGo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^1,Ev1,A>3\n"]}} {"board": "oBoCCCoBoAADEEoFFDoGHIIIoGHJJJoGHKKK", "size": 6, "moves": 4, "solution": ["H^3", "I<1", "Ev1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoCCCoBoAADEEoFFDoGHIIIoGHJJJoGHKKK\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nH^3,I<1,Ev1,A>1\n"]}} {"board": "oooBoooooBooAAoBoooooooooCCooooooDDD", "size": 6, "moves": 3, "solution": ["D<3", "Bv3", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoooooBooAAoBoooooooooCCooooooDDD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<3,Bv3,A>4\n"]}} {"board": "BBBooCoooAACoDDooCEFoGGGEFHoooEoHooo", "size": 6, "moves": 3, "solution": ["G<1", "Cv2", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBooCoooAACoDDooCEFoGGGEFHoooEoHooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,Cv2,A>1\n"]}} {"board": "oooAABCooooBCoDEEEoFDGGooFDHHooFoooo", "size": 6, "moves": 4, "solution": ["Dv1", "D<1", "Bv1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooAABCooooBCoDEEEoFDGGooFDHHooFoooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,D<1,Bv1,A>1\n"]}} {"board": "ooBBBoAAooCooDDoCoEFFoCoEoGGGoEooooo", "size": 6, "moves": 3, "solution": ["G<1", "Cv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBoAAooCooDDoCoEFFoCoEoGGGoEooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,Cv1,A>4\n"]}} {"board": "oooBoooAABoooCCBooooooooooDDoooooEEo", "size": 6, "moves": 3, "solution": ["D<1", "Bv2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoooAABoooCCBooooooooooDDoooooEEo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv2,A>3\n"]}} {"board": "ooooBoAAooBCooooBCoooDoooooDoooooDoo", "size": 6, "moves": 3, "solution": ["Bv2", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoAAooBCooooBCoooDoooooDoooooDoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,Bv1,A>4\n"]}} {"board": "ooooooooooBoAAoCBooooCooooDDoooooooo", "size": 6, "moves": 3, "solution": ["B^1", "C^2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooBoAAoCBooooCooooDDoooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,C^2,A>4\n"]}} {"board": "oBoooooBooooooooooooooCoAAooCDoooooD", "size": 6, "moves": 3, "solution": ["C^1", "D^2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoooooBooooooooooooooCoAAooCDoooooD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^2,A>4\n"]}} {"board": "ooBBBCooooDCoAAoDoEEoFGoHIIFGoHooFGo", "size": 6, "moves": 3, "solution": ["B<1", "D^1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBCooooDCoAAoDoEEoFGoHIIFGoHooFGo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,D^1,A>3\n"]}} {"board": "BoooooBoCCCoBooDoooAADEoooooEooooooo", "size": 6, "moves": 3, "solution": ["Dv2", "Dv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoooooBoCCCoBooDoooAADEoooooEooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv2,Dv1,A>3\n"]}} {"board": "ooAAoBoCoDoBoCoDoBEooFFFEoooooEoGGoo", "size": 6, "moves": 3, "solution": ["F<1", "Bv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAAoBoCoDoBoCoDoBEooFFFEoooooEoGGoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Bv1,A>2\n"]}} {"board": "oooBBBoooooCoooAACooooDDoooooooooooo", "size": 6, "moves": 3, "solution": ["B<1", "C^1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBoooooCoooAACooooDDoooooooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,C^1,A>1\n"]}} {"board": "AAoBCoDEEBCoDFGoCoHFGoooHFooIIoJJKKK", "size": 6, "moves": 3, "solution": ["Bv1", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoBCoDEEBCoDFGoCoHFGoooHFooIIoJJKKK\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>4\n"]}} {"board": "oooooooooooooooBBBooooCoAADoCoooDoCo", "size": 6, "moves": 4, "solution": ["D^4", "C<2", "D^2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooooooBBBooooCoAADoCoooDoCo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^4,C<2,D^2,A>4\n"]}} {"board": "oooBoooooBooAAoBooCCCooooooDDDooEEoo", "size": 6, "moves": 4, "solution": ["D<3", "E<1", "Bv3", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoooooBooAAoBooCCCooooooDDDooEEoo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<3,E<1,Bv3,A>4\n"]}} {"board": "ooooBoAAooBoooCoDoooCoDoooCooEFFoooE", "size": 6, "moves": 3, "solution": ["Dv2", "Bv2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoAAooBoooCoDoooCoDoooCooEFFoooE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv2,Bv2,A>4\n"]}} {"board": "oooBBBCoooooCoDDDoCoAAoEoFFooEoooooE", "size": 6, "moves": 3, "solution": ["B<1", "E^3", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBCoooooCoDDDoCoAAoEoFFooEoooooE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,E^3,A>2\n"]}} {"board": "oooBBBoooooooooooCooDoECooDoEoAADoEo", "size": 6, "moves": 3, "solution": ["D^1", "E^1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBoooooooooooCooDoECooDoEoAADoEo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E^1,A>4\n"]}} {"board": "oooooooooooooBBBooAACDooooCDoooooEEE", "size": 6, "moves": 4, "solution": ["B<1", "Cv1", "C^2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooooBBBooAACDooooCDoooooEEE\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,Cv1,C^2,A>4\n"]}} {"board": "oooAABoooooBoooCoBoooCoDEEoCoDoooooo", "size": 6, "moves": 3, "solution": ["Dv1", "Bv1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooAABoooooBoooCoBoooCoDEEoCoDoooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,Bv1,A>1\n"]}} {"board": "ooBoooCDBoEoCDBoEFoDAAEFooGooFHHGoII", "size": 6, "moves": 3, "solution": ["E^1", "F^2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoooCDBoEoCDBoEFoDAAEFooGooFHHGoII\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,F^2,A>2\n"]}} {"board": "ooooooooBoooooBoCoAABoCoooDDooEEoFFF", "size": 6, "moves": 3, "solution": ["B^1", "C^1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooBoooooBoCoAABoCoooDDooEEoFFF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,C^1,A>4\n"]}} {"board": "ooooooooooooBoooooBoCooDBoCoEDAACoEo", "size": 6, "moves": 3, "solution": ["C^1", "E^1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooooBoooooBoCooDBoCoEDAACoEo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,E^1,A>4\n"]}} {"board": "oooooooooooBAAoCoBoooCoooDoooooDoooo", "size": 6, "moves": 3, "solution": ["B^1", "C^2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooBAAoCoBoooCoooDoooooDoooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,C^2,A>4\n"]}} {"board": "BooAACBooDDCoEFFFCGEoHHHGEoIIIGJJJKK", "size": 6, "moves": 3, "solution": ["H<1", "Cv1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BooAACBooDDCoEFFFCGEoHHHGEoIIIGJJJKK\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nH<1,Cv1,A>1\n"]}} {"board": "oBoooooBCooDoBCoEDAACoEDoFFGGoHHoIIo", "size": 6, "moves": 4, "solution": ["C^1", "D^1", "E^1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoooooBCooDoBCoEDAACoEDoFFGGoHHoIIo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^1,E^1,A>4\n"]}} {"board": "ooooooooBBBooooCDooooCDooAAoDooooooo", "size": 6, "moves": 3, "solution": ["B<1", "D^1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooBBBooooCDooooCDooAAoDooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,D^1,A>3\n"]}} {"board": "oooAABCCCooBoooooDooooEDooooEoooooEo", "size": 6, "moves": 3, "solution": ["Dv1", "Bv1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooAABCCCooBoooooDooooEDooooEoooooEo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,Bv1,A>1\n"]}} {"board": "oooooBAAoooBCDDDoBCooEEECooFoooooFoo", "size": 6, "moves": 3, "solution": ["E<1", "Bv2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBAAoooBCDDDoBCooEEECooFoooooFoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv2,A>4\n"]}} {"board": "AAoBoooooBoCoooDDCoooooCEEoooooooooo", "size": 6, "moves": 3, "solution": ["D<2", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoBoooooBoCoooDDCoooooCEEoooooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<2,Bv1,A>4\n"]}} {"board": "oBBBCoDDDECFoooECFGAAEooGHIIooGHoJJJ", "size": 6, "moves": 3, "solution": ["B<1", "E^1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBCoDDDECFoooECFGAAEooGHIIooGHoJJJ\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,E^1,A>3\n"]}} {"board": "oooooooAABoooooBCCoDDBoooEFFoooEoooo", "size": 6, "moves": 3, "solution": ["F>2", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooAABoooooBCCoDDBoooEFFoooEoooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF>2,Bv1,A>3\n"]}} {"board": "ooooBCooooBCAAooBoooooooDDDooooooEEo", "size": 6, "moves": 3, "solution": ["E<1", "Bv3", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBCooooBCAAooBoooooooDDDooooooEEo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv3,A>4\n"]}} {"board": "oooooBooooCBooooCBoAAoCDoooooDoEEooo", "size": 6, "moves": 3, "solution": ["C^1", "Dv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBooooCBooooCBoAAoCDoooooDoEEooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,Dv1,A>3\n"]}} {"board": "oooBBBoCAADooCooDooCoEEooooFFoooGGGo", "size": 6, "moves": 3, "solution": ["E<1", "Dv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBoCAADooCooDooCoEEooooFFoooGGGo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Dv1,A>2\n"]}} {"board": "BBBoCoooAACoDoooCoDooEEEooFFoooooooo", "size": 6, "moves": 3, "solution": ["E<2", "Cv2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBoCoooAACoDoooCoDooEEEooFFoooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<2,Cv2,A>2\n"]}} {"board": "ooooooooooBoooooBoooooCoAAooCooooDDD", "size": 6, "moves": 3, "solution": ["B^1", "C^1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooBoooooBoooooCoAAooCooooDDD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,C^1,A>4\n"]}} {"board": "oooBBBCCCooooDDDEooooFEooAAFoooooFoo", "size": 6, "moves": 3, "solution": ["D<1", "F^2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBCCCooooDDDEooooFEooAAFoooooFoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,F^2,A>3\n"]}} {"board": "ooBBBooooooooooCoooooCooAADCooooDooo", "size": 6, "moves": 3, "solution": ["C^1", "D^2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBooooooooooCoooooCooAADCooooDooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^2,A>4\n"]}} {"board": "oooBBBooCoooooCoooooCAADoooooDoEEEoD", "size": 6, "moves": 3, "solution": ["B<1", "D^3", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBooCoooooCoooooCAADoooooDoEEEoD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,D^3,A>1\n"]}} {"board": "oBBBoCooooDCooooDCooooEooFFFEoAAooEo", "size": 6, "moves": 3, "solution": ["D^1", "E^1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBoCooooDCooooDCooooEooFFFEoAAooEo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E^1,A>4\n"]}} {"board": "oooooooAABoooooBooooCCCooooooooooooo", "size": 6, "moves": 3, "solution": ["C<2", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooAABoooooBooooCCCooooooooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,Bv1,A>3\n"]}} {"board": "BoooooBoooooBoooooooooooAACooDooCooD", "size": 6, "moves": 3, "solution": ["C^2", "D^2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoooooBoooooBoooooooooooAACooDooCooD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,D^2,A>4\n"]}} {"board": "oBBBoooooCCCooooooDoEFFFDoEooGDAAooG", "size": 6, "moves": 4, "solution": ["E^2", "F<1", "G^1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBoooooCCCooooooDoEFFFDoEooGDAAooG\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^2,F<1,G^1,A>3\n"]}} {"board": "oooooooooooBooAACBooooCooooDDDoooooo", "size": 6, "moves": 3, "solution": ["B^1", "C^2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooBooAACBooooCooooDDDoooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,C^2,A>2\n"]}} {"board": "oooAABCDoooBCDEooBoDEoFFGGEHIJoooHIJ", "size": 6, "moves": 3, "solution": ["F<1", "Bv1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooAABCDoooBCDEooBoDEoFFGGEHIJoooHIJ\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Bv1,A>1\n"]}} {"board": "ooooBoCAAoBoCooDDDooooooooooEEFFoooo", "size": 6, "moves": 3, "solution": ["D<2", "Bv2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoCAAoBoCooDDDooooooooooEEFFoooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<2,Bv2,A>3\n"]}} {"board": "ooooooBoooCDBAAoCDBooooooooEEoFFFooo", "size": 6, "moves": 3, "solution": ["C^1", "D^1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooBoooCDBAAoCDBooooooooEEoFFFooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^1,A>3\n"]}} {"board": "ooooooooAAoBoooooBCCCoDDEEoFoooooFoo", "size": 6, "moves": 3, "solution": ["D<1", "Bv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooAAoBoooooBCCCoDDEEoFoooooFoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv1,A>2\n"]}} {"board": "ooAABoooooBoCoDDDoCooooEoooFGEHHoFGE", "size": 6, "moves": 3, "solution": ["D<1", "Bv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAABoooooBoCoDDDoCooooEoooFGEHHoFGE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv1,A>2\n"]}} {"board": "ooooBooAAoBooooooooooCCCooooDoooooDo", "size": 6, "moves": 3, "solution": ["C<2", "Bv2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBooAAoBooooooooooCCCooooDoooooDo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,Bv2,A>3\n"]}} {"board": "BBBoooooooooooooooooooooooAACDooooCD", "size": 6, "moves": 3, "solution": ["C^2", "D^2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBoooooooooooooooooooooooAACDooooCD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,D^2,A>2\n"]}} {"board": "ooooooooooooAABoooCCBoDoooBoDoooEEDo", "size": 6, "moves": 3, "solution": ["E<2", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooooAABoooCCBoDoooBoDoooEEDo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<2,Bv1,A>4\n"]}} {"board": "oooooooooBBBooCCCoDAAoEoDFooEoDFooEo", "size": 6, "moves": 4, "solution": ["B<2", "C<1", "E^3", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBBBooCCCoDAAoEoDFooEoDFooEo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,C<1,E^3,A>3\n"]}} {"board": "AAoooBoCooDBoCoEDFoCGEHFooGoHFIIGoHo", "size": 6, "moves": 3, "solution": ["Fv1", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoooBoCooDBoCoEDFoCGEHFooGoHFIIGoHo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nFv1,Bv1,A>4\n"]}} {"board": "BoooooBooCCCBoooDEAAooDEoooooEoooFFF", "size": 6, "moves": 4, "solution": ["C<2", "D^1", "E^2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoooooBooCCCBoooDEAAooDEoooooEoooFFF\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,D^1,E^2,A>4\n"]}} {"board": "ooooBooAAoBoCoDDBoCEoFFoCEooGGoEHHHo", "size": 6, "moves": 4, "solution": ["F<1", "G<2", "Bv2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBooAAoBoCoDDBoCEoFFoCEooGGoEHHHo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,G<2,Bv2,A>3\n"]}} {"board": "ooooooBooCoDBooCoDAAoCoDEoooFoEoooFo", "size": 6, "moves": 3, "solution": ["C^1", "D^1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooBooCoDBooCoDAAoCoDEoooFoEoooFo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^1,A>4\n"]}} {"board": "BCCCDoBEEEDFooAADFGGooHHIIIJooKKKJoo", "size": 6, "moves": 4, "solution": ["F^1", "H<2", "Dv3", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BCCCDoBEEEDFooAADFGGooHHIIIJooKKKJoo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,H<2,Dv3,A>2\n"]}} {"board": "ooooBoAAooBoooooCCDooEEEDooFooDooFGG", "size": 6, "moves": 4, "solution": ["C<2", "E<2", "Bv2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoAAooBoooooCCDooEEEDooFooDooFGG\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,E<2,Bv2,A>4\n"]}} {"board": "ooBBBCooDDDCEFAAoCEFooGGEFoHHooooIIo", "size": 6, "moves": 3, "solution": ["G<1", "Cv3", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBCooDDDCEFAAoCEFooGGEFoHHooooIIo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,Cv3,A>2\n"]}} {"board": "oooooooooooooBBBooooooCDAAooCDooooCo", "size": 6, "moves": 3, "solution": ["C^2", "D^1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooooBBBooooooCDAAooCDooooCo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,D^1,A>4\n"]}} {"board": "BoCCCoBooDDDoEEEoooAAooFoGoHIFoGoHIF", "size": 6, "moves": 3, "solution": ["D<1", "F^3", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoCCCoBooDDDoEEEoooAAooFoGoHIFoGoHIF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,F^3,A>3\n"]}} {"board": "ooooooooooooBoCCCDBoooEDooooEDooAAEo", "size": 6, "moves": 3, "solution": ["C<1", "E^1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooooBoCCCDBoooEDooooEDooAAEo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,E^1,A>2\n"]}} {"board": "ooooBoCAAoBoCoooBoCooooooooDDooooooo", "size": 6, "moves": 3, "solution": ["D<1", "Bv2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoCAAoBoCoooBoCooooooooDDooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv2,A>3\n"]}} {"board": "BBBoCooDooCooDoEooFFFEooAAoGoHoooGoH", "size": 6, "moves": 4, "solution": ["E^2", "G^2", "H^2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBoCooDooCooDoEooFFFEooAAoGoHoooGoH\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^2,G^2,H^2,A>4\n"]}} {"board": "oooBBBooCDooooCDooEEEFooAAoFooGGGooo", "size": 6, "moves": 4, "solution": ["B<3", "D^1", "F^1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBooCDooooCDooEEEFooAAoFooGGGooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<3,D^1,F^1,A>4\n"]}} {"board": "oooooooAABoooooBoooooBoooooCCoDDoooo", "size": 6, "moves": 3, "solution": ["C<2", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooAABoooooBoooooBoooooCCoDDoooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,Bv1,A>3\n"]}} {"board": "BAACooBooCDDBEECoooooFFFoooGGGooooHH", "size": 6, "moves": 3, "solution": ["F<3", "Cv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BAACooBooCDDBEECoooooFFFoooGGGooooHH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<3,Cv1,A>3\n"]}} {"board": "AAoooBoCCCoBooDDEEFGGooHFooIJHFooIJH", "size": 6, "moves": 4, "solution": ["D<1", "E<1", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoooBoCCCoBooDDEEFGGooHFooIJHFooIJH\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,E<1,Bv1,A>4\n"]}} {"board": "oooBBBoooooCoooooCDoAAoCDEooooDEoooo", "size": 6, "moves": 3, "solution": ["B<1", "C^1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBoooooCoooooCDoAAoCDEooooDEoooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,C^1,A>2\n"]}} {"board": "ooooooBoooooBoooooBoooCDAAooCDoooooD", "size": 6, "moves": 3, "solution": ["C^1", "D^2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooBoooooBoooooBoooCDAAooCDoooooD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^2,A>4\n"]}} {"board": "AAooBoooooBoooooBoooCCCooDDDooooEEEo", "size": 6, "moves": 3, "solution": ["C<1", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAooBoooooBoooooBoooCCCooDDDooooEEEo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,Bv1,A>4\n"]}} {"board": "ooooooooooBoooooBCoAADBCoooDECFFFoEo", "size": 6, "moves": 4, "solution": ["B^1", "C^2", "D^2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooBoooooBCoAADBCoooDECFFFoEo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,C^2,D^2,A>3\n"]}} {"board": "AABooCooBooCooDDooEEoFFFGGHHIIoooooo", "size": 6, "moves": 4, "solution": ["Cv1", "D<2", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AABooCooBooCooDDooEEoFFFGGHHIIoooooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,D<2,Bv1,A>4\n"]}} {"board": "BCCCoDBAAooDBoEEoDoooFFooGGGHHoIIJJJ", "size": 6, "moves": 4, "solution": ["G<1", "H<1", "Dv2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BCCCoDBAAooDBoEEoDoooFFooGGGHHoIIJJJ\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,H<1,Dv2,A>3\n"]}} {"board": "oooBooAAoBCooDoBCooDoooEFoooGEFoHHGE", "size": 6, "moves": 3, "solution": ["Bv2", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBooAAoBCooDoBCooDoooEFoooGEFoHHGE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,Bv1,A>4\n"]}} {"board": "oooAABCCCooBoDDEEEoooFGGoHHFooIIIFoo", "size": 6, "moves": 4, "solution": ["D<1", "E<1", "Bv1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooAABCCCooBoDDEEEoooFGGoHHFooIIIFoo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,E<1,Bv1,A>1\n"]}} {"board": "oooBCoooDBCoAADBCoEoooooEoooooEooooo", "size": 6, "moves": 4, "solution": ["Bv3", "Bv3", "B^1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBCoooDBCoAADBCoEoooooEoooooEooooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv3,Bv3,B^1,A>4\n"]}} {"board": "ooBBBoooooCoAAooCDooEECDFGGGoDFoooHH", "size": 6, "moves": 4, "solution": ["H<2", "Cv2", "Cv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBoooooCoAAooCDooEECDFGGGoDFoooHH\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nH<2,Cv2,Cv1,A>4\n"]}} {"board": "oAAoBoCCooBooooDDDooEoFFGoEHooGoEHoo", "size": 6, "moves": 3, "solution": ["D<2", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAoBoCCooBooooDDDooEoFFGoEHooGoEHoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<2,Bv1,A>3\n"]}} {"board": "oBBBoooooooooooooooCCCDooooEDoAAoEDo", "size": 6, "moves": 4, "solution": ["C<1", "D^1", "E^1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBoooooooooooooooCCCDooooEDoAAoEDo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,D^1,E^1,A>4\n"]}} {"board": "BBBCCCoooDEoAAoDEoooFFFGHHHooGIIoooG", "size": 6, "moves": 4, "solution": ["F<2", "Dv2", "Dv2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBCCCoooDEoAAoDEoooFFFGHHHooGIIoooG\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<2,Dv2,Dv2,A>4\n"]}} {"board": "BBBoCoooooCDooooCDAAoEoDFFoEoooooooo", "size": 6, "moves": 3, "solution": ["D^1", "E^2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBoCoooooCDooooCDAAoEoDFFoEoooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E^2,A>4\n"]}} {"board": "ooooooooooBCAAooBCooooBCoDDDoooooooo", "size": 6, "moves": 3, "solution": ["Bv2", "Bv2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooBCAAooBCooooBCoDDDoooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,Bv2,A>4\n"]}} {"board": "oooooooBoooooBoooooBCoDoAACoDoooCoDo", "size": 6, "moves": 3, "solution": ["C^2", "D^2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooBoooooBoooooBCoDoAACoDoooCoDo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,D^2,A>4\n"]}} {"board": "ooooBoooooBoAAooBoooooooooCCCooooDDo", "size": 6, "moves": 4, "solution": ["C<1", "D<1", "Bv3", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoooooBoAAooBoooooooooCCCooooDDo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,D<1,Bv3,A>4\n"]}} {"board": "ooooBoooooBoAAooBooooCCoooooooooooDD", "size": 6, "moves": 4, "solution": ["C<1", "D<2", "Bv3", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoooooBoAAooBooooCCoooooooooooDD\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,D<2,Bv3,A>4\n"]}} {"board": "ooooooooBoooAABoooCoBoDDCoooooCoEEoo", "size": 6, "moves": 3, "solution": ["E>1", "Bv2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooBoooAABoooCoBoDDCoooooCoEEoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE>1,Bv2,A>4\n"]}} {"board": "oooBooCooBooCooBooAADooEooDooEooDooE", "size": 6, "moves": 3, "solution": ["D^3", "E^3", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBooCooBooCooBooAADooEooDooEooDooE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^3,E^3,A>4\n"]}} {"board": "BooooCBAAooCBooDDDooEEEoFFooGGHHHooo", "size": 6, "moves": 3, "solution": ["D<1", "Cv2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BooooCBAAooCBooDDDooEEEoFFooGGHHHooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Cv2,A>3\n"]}} {"board": "oooBBBoooooCoooooCooAAoCooooooooooDD", "size": 6, "moves": 3, "solution": ["B<1", "C^1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBoooooCoooooCooAAoCooooooooooDD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,C^1,A>2\n"]}} {"board": "ooBBBoCDooooCDAAEoCoooEoFFFoGGHHIIIo", "size": 6, "moves": 3, "solution": ["B<1", "E^2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBoCDooooCDAAEoCoooEoFFFoGGHHIIIo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,E^2,A>2\n"]}} {"board": "ooooBCAAooBCooooBooDDDoooooEEoooFFFo", "size": 6, "moves": 4, "solution": ["Cv2", "E<1", "Bv2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBCAAooBCooooBooDDDoooooEEoooFFFo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,E<1,Bv2,A>4\n"]}} {"board": "oAAooBCoDooBCoDooBEEFoGGHoFIIIHoFooo", "size": 6, "moves": 3, "solution": ["G<1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAooBCoDooBCoDooBEEFoGGHoFIIIHoFooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,Bv1,A>3\n"]}} {"board": "ooooooooBoooooBoooAACoooooCoDDooEEoo", "size": 6, "moves": 3, "solution": ["E<2", "Cv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooBoooooBoooAACoooooCoDDooEEoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<2,Cv1,A>4\n"]}} {"board": "ooooooBBBooooooooooCCCoooooDooAAoDoo", "size": 6, "moves": 3, "solution": ["C<1", "D^1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooBBBooooooooooCCCoooooDooAAoDoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,D^1,A>4\n"]}} {"board": "ooAAoBoCoooBoCDEEEooDFoooooFGGoooooo", "size": 6, "moves": 4, "solution": ["Dv1", "D<1", "Bv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAAoBoCoooBoCDEEEooDFoooooFGGoooooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,D<1,Bv1,A>2\n"]}} {"board": "oAABooCooBooCDoBEECDFFooGGGHHHoooooo", "size": 6, "moves": 3, "solution": ["F>2", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAABooCooBooCDoBEECDFFooGGGHHHoooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF>2,Bv1,A>3\n"]}} {"board": "BoooCoBAAoCoBoooCooDooooEDoFGGEDoFoo", "size": 6, "moves": 4, "solution": ["F^2", "G<2", "Cv2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoooCoBAAoCoBoooCooDooooEDoFGGEDoFoo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^2,G<2,Cv2,A>3\n"]}} {"board": "oooooooBBBooooooooAAoCoooooCoooooCoo", "size": 6, "moves": 3, "solution": ["B<1", "C^3", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooBBBooooooooAAoCoooooCoooooCoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,C^3,A>4\n"]}} {"board": "oooooooooooooAAoBCoDoEBCFDoEooFoGGoo", "size": 6, "moves": 3, "solution": ["B^2", "C^2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooooAAoBCoDoEBCFDoEooFoGGoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^2,C^2,A>3\n"]}} {"board": "ooooooooooBCoAAoBCoooDDDooooEFooooEF", "size": 6, "moves": 3, "solution": ["B^1", "C^1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooBCoAAoBCoooDDDooooEFooooEF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,C^1,A>3\n"]}} {"board": "oooooooooBoooAABoooooBCCooooooooDDDo", "size": 6, "moves": 3, "solution": ["D<2", "Bv2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBoooAABoooooBCCooooooooDDDo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<2,Bv2,A>3\n"]}} {"board": "ooooBooAAoBooooCCoooooDDooooooooEEoo", "size": 6, "moves": 4, "solution": ["C<1", "D<2", "Bv2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBooAAoBooooCCoooooDDooooooooEEoo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,D<2,Bv2,A>3\n"]}} {"board": "ooAABoooooBooCCCBooooDDooooooooooEEE", "size": 6, "moves": 3, "solution": ["D<1", "Bv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAABoooooBooCCCBooooDDooooooooooEEE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv1,A>2\n"]}} {"board": "oooBBBCDDDEoCFooEooFAAEGHFIIoGHJJJoG", "size": 6, "moves": 4, "solution": ["B<2", "E^1", "G^3", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBCDDDEoCFooEooFAAEGHFIIoGHJJJoG\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,E^1,G^3,A>2\n"]}} {"board": "oooooooooBBBoooCCCoooooDoooooDAAoooD", "size": 6, "moves": 3, "solution": ["C<1", "D^1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBBBoooCCCoooooDoooooDAAoooD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,D^1,A>4\n"]}} {"board": "BoCCCoBooooooooooooAADoEFFFDoEoooooE", "size": 6, "moves": 3, "solution": ["D^2", "E^3", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoCCCoBooooooooooooAADoEFFFDoEoooooE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,E^3,A>3\n"]}} {"board": "oooooBoooooBoAAooBooCCCoooDDDoooooEE", "size": 6, "moves": 3, "solution": ["E<1", "Bv3", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoooooBoAAooBooCCCoooDDDoooooEE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv3,A>3\n"]}} {"board": "BoCoooBoCAADBEEEoDFGoHHHFGIJJJFGIKKK", "size": 6, "moves": 3, "solution": ["H<1", "Dv1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoCoooBoCAADBEEEoDFGoHHHFGIJJJFGIKKK\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nH<1,Dv1,A>1\n"]}} {"board": "oooBBBCCCooDoooooDoooAADEEEFFFooooGG", "size": 6, "moves": 3, "solution": ["B<1", "D^1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBCCCooDoooooDoooAADEEEFFFooooGG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,D^1,A>1\n"]}} {"board": "ooAABoooCCBoDDDoBooooEEEFFGGGooooHHH", "size": 6, "moves": 3, "solution": ["E<2", "Bv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAABoooCCBoDDDoBooooEEEFFGGGooooHHH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<2,Bv1,A>2\n"]}} {"board": "oooBBBooooooAAooCooDEoCooDEFFFoDEooo", "size": 6, "moves": 3, "solution": ["B<2", "C^2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBooooooAAooCooDEoCooDEFFFoDEooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,C^2,A>4\n"]}} {"board": "AAooBCDDooBCEEoFFoGoHoIoGoHoIJGKKKIJ", "size": 6, "moves": 4, "solution": ["Cv1", "F<1", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAooBCDDooBCEEoFFoGoHoIoGoHoIJGKKKIJ\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,F<1,Bv1,A>4\n"]}} {"board": "oooooooooooooooooBooooCBAAooCBooooCo", "size": 6, "moves": 3, "solution": ["B^1", "C^2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooooooooBooooCBAAooCBooooCo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,C^2,A>4\n"]}} {"board": "oAABoooooBooCooBooCDDDooCooooEoooooE", "size": 6, "moves": 4, "solution": ["C^2", "D<1", "Cv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAABoooooBooCooBooCDDDooCooooEoooooE\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,D<1,Cv1,A>3\n"]}} {"board": "BoooooBoCooDooCooDAAooEDooooEoooooEo", "size": 6, "moves": 3, "solution": ["D^1", "E^3", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoooooBoCooDooCooDAAooEDooooEoooooEo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E^3,A>4\n"]}} {"board": "oooBoooooBooAACBooooCoDDooCoEEFFoooo", "size": 6, "moves": 3, "solution": ["Bv3", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoooooBooAACBooooCoDDooCoEEFFoooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv3,Bv1,A>4\n"]}} {"board": "BooCCCBoooooooooooooAADoEoooDoEoooDo", "size": 6, "moves": 3, "solution": ["C<2", "D^3", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BooCCCBoooooooooooooAADoEoooDoEoooDo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,D^3,A>2\n"]}} {"board": "oooooooooooooooBBBoooooCAAoooCoooooC", "size": 6, "moves": 3, "solution": ["B<1", "C^2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooooooBBBoooooCAAoooCoooooC\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,C^2,A>4\n"]}} {"board": "ooooooooooooooooooBBBooCoooDoCAAoDoC", "size": 6, "moves": 3, "solution": ["C^1", "D^1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooooooooooBBBooCoooDoCAAoDoC\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^1,A>4\n"]}} {"board": "AAoBoCDDDBoCoEEBoCooFFFoGGoHHHIIIJJo", "size": 6, "moves": 4, "solution": ["Cv1", "F<2", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoBoCDDDBoCoEEBoCooFFFoGGoHHHIIIJJo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,F<2,Bv1,A>4\n"]}} {"board": "oooooooooBooAAoBoooooBoooooooooooCCo", "size": 6, "moves": 3, "solution": ["C<2", "Bv2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBooAAoBoooooBoooooooooooCCo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,Bv2,A>4\n"]}} {"board": "oooooooooBBBooooooCDDDooCAAEooCFFEoo", "size": 6, "moves": 4, "solution": ["C^3", "D<1", "E^2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBBBooooooCDDDooCAAEooCFFEoo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^3,D<1,E^2,A>3\n"]}} {"board": "ooAABoooCCBooooDDooooEEEoooooooooooo", "size": 6, "moves": 3, "solution": ["D<1", "Bv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAABoooCCBooooDDooooEEEoooooooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv1,A>2\n"]}} {"board": "AAooBoCoooBDCooEEDFGGHoDFooHooFIIHJJ", "size": 6, "moves": 3, "solution": ["E<1", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAooBoCoooBDCooEEDFGGHoDFooHooFIIHJJ\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv1,A>4\n"]}} {"board": "AAooBoooCCBDooEEEDoFGHHHIFGoJJIFGooo", "size": 6, "moves": 3, "solution": ["E<1", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAooBoooCCBDooEEEDoFGHHHIFGoJJIFGooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv1,A>4\n"]}} {"board": "AAoBCooooBCoDDDooEoFoooEoFGGoooFoooo", "size": 6, "moves": 3, "solution": ["Bv1", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoBCooooBCoDDDooEoFoooEoFGGoooFoooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>4\n"]}} {"board": "ooooooooooooooBoooAABCooDEBCooDEoFFo", "size": 6, "moves": 3, "solution": ["B^2", "C^2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooooooBoooAABCooDEBCooDEoFFo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^2,C^2,A>4\n"]}} {"board": "ooBBBooooCCCoooDDDooEoooooEAAFooEooF", "size": 6, "moves": 3, "solution": ["D<1", "F^2", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBooooCCCoooDDDooEoooooEAAFooEooF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,F^2,A>1\n"]}} {"board": "BoooooBooooCBooooCAADooCooDEEoooDooo", "size": 6, "moves": 3, "solution": ["C^1", "D^3", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoooooBooooCBooooCAADooCooDEEoooDooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^3,A>4\n"]}} {"board": "oBoooooBCDDDAACooooECFFoGEHHooGEIIIo", "size": 6, "moves": 4, "solution": ["H>1", "I>1", "Cv2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoooooBCDDDAACooooECFFoGEHHooGEIIIo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nH>1,I>1,Cv2,A>4\n"]}} {"board": "oooooBoooooBoooCCCoooDooAAoDoooooDoo", "size": 6, "moves": 3, "solution": ["C<3", "D^2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoooooBoooCCCoooDooAAoDoooooDoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<3,D^2,A>4\n"]}} {"board": "oAABooCooBooCDoBooCDEFFoGDEoHHGoEIII", "size": 6, "moves": 3, "solution": ["F>1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAABooCooBooCDoBooCDEFFoGDEoHHGoEIII\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF>1,Bv1,A>3\n"]}} {"board": "BooCooBooCooBoAAoDEEoooDFFFooDoGGGHH", "size": 6, "moves": 4, "solution": ["G<1", "H<1", "Dv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BooCooBooCooBoAAoDEEoooDFFFooDoGGGHH\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,H<1,Dv1,A>2\n"]}} {"board": "ooBoooooBooCAABooCDoooooDoooooDooooo", "size": 6, "moves": 3, "solution": ["Bv3", "B^1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoooooBooCAABooCDoooooDoooooDooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv3,B^1,A>4\n"]}} {"board": "ooBoooAABoooCCDoEoooDoEooooFEooooFoo", "size": 6, "moves": 3, "solution": ["Dv2", "Bv2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoooAABoooCCDoEoooDoEooooFEooooFoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv2,Bv2,A>4\n"]}} {"board": "ooooooooBBBoCAAooDCooooDoooooDooooEE", "size": 6, "moves": 3, "solution": ["E<1", "Dv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooBBBoCAAooDCooooDoooooDooooEE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Dv1,A>3\n"]}} {"board": "oooooooooooooooBoooAABoCoDEBoCoDEooC", "size": 6, "moves": 3, "solution": ["B^2", "C^3", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooooooBoooAABoCoDEBoCoDEooC\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^2,C^3,A>3\n"]}} {"board": "oooBBBoooCCCoooDDDooEoooooEAAFooEooF", "size": 6, "moves": 3, "solution": ["D<1", "F^2", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBoooCCCoooDDDooEoooooEAAFooEooF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,F^2,A>1\n"]}} {"board": "oooBoCDEoBoCDEoAACoooFFFoGGooooHHooo", "size": 6, "moves": 3, "solution": ["F<1", "Cv3", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoCDEoBoCDEoAACoooFFFoGGooooHHooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Cv3,A>1\n"]}} {"board": "oooooooooooooooBBBCAADooCooDooCooDEE", "size": 6, "moves": 3, "solution": ["B<3", "D^3", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooooooBBBCAADooCooDooCooDEE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<3,D^3,A>3\n"]}} {"board": "AAoBCooooBCoooooDDoEEEoFGGGooFoooooo", "size": 6, "moves": 4, "solution": ["D<3", "Bv1", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoBCooooBCoooooDDoEEEoFGGGooFoooooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<3,Bv1,Bv1,A>4\n"]}} {"board": "oooooBoAAooBCCoooBoooDDDoEEEoooooooo", "size": 6, "moves": 3, "solution": ["D<1", "Bv2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoAAooBCCoooBoooDDDoEEEoooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv2,A>3\n"]}} {"board": "oAAooBooCooBDoCoEEDoooFoooooFoooooFo", "size": 6, "moves": 3, "solution": ["E<1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAooBooCooBDoCoEEDoooFoooooFoooooFo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv1,A>3\n"]}} {"board": "BCDoEoBCDFEooCDFEGoAAFoGooooHHIIooJJ", "size": 6, "moves": 3, "solution": ["F^1", "G^1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BCDoEoBCDFEooCDFEGoAAFoGooooHHIIooJJ\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,G^1,A>3\n"]}} {"board": "oooooooooooooooBBBooooCDAAooCDooooCD", "size": 6, "moves": 4, "solution": ["B<2", "C^2", "D^2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooooooBBBooooCDAAooCDooooCD\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,C^2,D^2,A>4\n"]}} {"board": "oooooooooooBoooooBAACooBooCoooooCoDD", "size": 6, "moves": 3, "solution": ["B^1", "C^3", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooBoooooBAACooBooCoooooCoDD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,C^3,A>4\n"]}} {"board": "ooooooAAoooBoCCooBoDDDEEooooFoooooFo", "size": 6, "moves": 4, "solution": ["D<1", "E<1", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooAAoooBoCCooBoDDDEEooooFoooooFo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,E<1,Bv1,A>4\n"]}} {"board": "ooooBoAAooBooooCCCooDoooooDoooooDoEE", "size": 6, "moves": 3, "solution": ["C<2", "Bv2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoAAooBooooCCCooDoooooDoooooDoEE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,Bv2,A>4\n"]}} {"board": "AAoBCooooBCooooBooooooooDDoEEooooooo", "size": 6, "moves": 3, "solution": ["Bv1", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoBCooooBCooooBooooooooDDoEEooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>4\n"]}} {"board": "oBBBoCoAAoDCooooDooEFFDooEoooooEoooo", "size": 6, "moves": 3, "solution": ["Cv2", "Cv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBoCoAAoDCooooDooEFFDooEoooooEoooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,Cv1,A>3\n"]}} {"board": "BAAooCBoDDoCBEEooFoooGGFHHooooIIIJJJ", "size": 6, "moves": 3, "solution": ["Fv1", "Cv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BAAooCBoDDoCBEEooFoooGGFHHooooIIIJJJ\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nFv1,Cv1,A>3\n"]}} {"board": "ooooooooooBooAACBDoooCBDoooooooEEooo", "size": 6, "moves": 4, "solution": ["Bv2", "B^2", "C^2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooBooAACBDoooCBDoooooooEEooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,B^2,C^2,A>3\n"]}} {"board": "oooBBBCooAADCoEooDCoEFFFoGEoHooGooHo", "size": 6, "moves": 4, "solution": ["E^2", "F<1", "Ev1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBCooAADCoEooDCoEFFFoGEoHooGooHo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^2,F<1,Ev1,A>1\n"]}} {"board": "oooooooAABoooooBoooooBoooCDDoooCoEEo", "size": 6, "moves": 3, "solution": ["D>2", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooAABoooooBoooooBoooCDDoooCoEEo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD>2,Bv1,A>3\n"]}} {"board": "oooBooAAoBooooCCCoooooDDEoFFooEooGGG", "size": 6, "moves": 3, "solution": ["C<2", "Bv2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBooAAoBooooCCCoooooDDEoFFooEooGGG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,Bv2,A>4\n"]}} {"board": "BAACoDBEECoDBoFoooGHFoooGHFIIJGooooJ", "size": 6, "moves": 3, "solution": ["Cv1", "Cv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BAACoDBEECoDBoFoooGHFoooGHFIIJGooooJ\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Cv1,A>3\n"]}} {"board": "ooBoCoooBDCooAADCooEoDoFoEoooFoEoooF", "size": 6, "moves": 3, "solution": ["Cv3", "Cv2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoCoooBDCooAADCooEoDoFoEoooFoEoooF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv3,Cv2,A>3\n"]}} {"board": "oBBBoooooCCCDooEooDAAEoooFFFoooooGGo", "size": 6, "moves": 3, "solution": ["C<3", "E^1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBoooooCCCDooEooDAAEoooFFFoooooGGo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<3,E^1,A>3\n"]}} {"board": "oooooooooBBBoCDooooCDEooAAoEoFoooEoF", "size": 6, "moves": 4, "solution": ["B<3", "E^2", "F^2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBBBoCDooooCDEooAAoEoFoooEoF\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<3,E^2,F^2,A>4\n"]}} {"board": "oAABoooooBoCoooBoCDDEEoooooooooooFFo", "size": 6, "moves": 3, "solution": ["E>2", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAABoooooBoCoooBoCDDEEoooooooooooFFo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE>2,Bv1,A>3\n"]}} {"board": "oooBooAAoBooooCCooooooooooDDDooEEEoo", "size": 6, "moves": 3, "solution": ["C<1", "Bv2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBooAAoBooooCCooooooooooDDDooEEEoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,Bv2,A>4\n"]}} {"board": "BoCoDoBoCoDoooCEDFoAAEoFGHHEoFGoIIIo", "size": 6, "moves": 3, "solution": ["E^2", "F^2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoCoDoBoCoDoooCEDFoAAEoFGHHEoFGoIIIo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^2,F^2,A>3\n"]}} {"board": "oooooooooBBBooooooooooCooDAACooDooCo", "size": 6, "moves": 3, "solution": ["B<2", "C^2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBBBooooooooooCooDAACooDooCo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,C^2,A>2\n"]}} {"board": "BBBoooCCCoDEooAADEoFFoDGHHHooGooIIIG", "size": 6, "moves": 4, "solution": ["E^1", "I<1", "Ev2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBoooCCCoDEooAADEoFFoDGHHHooGooIIIG\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,I<1,Ev2,A>2\n"]}} {"board": "oBoooooBoCCCoBoooooooooDEooAADEooooD", "size": 6, "moves": 3, "solution": ["C<1", "D^2", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoooooBoCCCoBoooooooooDEooAADEooooD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,D^2,A>1\n"]}} {"board": "BAAoCDBooECDooFEoDGGFEHIJJFKHIoLLKHo", "size": 6, "moves": 4, "solution": ["Cv1", "Iv1", "Cv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BAAoCDBooECDooFEoDGGFEHIJJFKHIoLLKHo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Iv1,Cv1,A>3\n"]}} {"board": "oooBBBooCDooooCDooAACooEFFoooEoooGGo", "size": 6, "moves": 3, "solution": ["C^1", "E^2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBooCDooooCDooAACooEFFoooEoooGGo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,E^2,A>4\n"]}} {"board": "oooBBBoCoAADECFGGDEHFIIIJHooKKJooLLL", "size": 6, "moves": 4, "solution": ["F^1", "I<1", "Ev1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBoCoAADECFGGDEHFIIIJHooKKJooLLL\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,I<1,Ev1,A>1\n"]}} {"board": "ooooooooBoooooBooooooCCCooooDoooAADo", "size": 6, "moves": 3, "solution": ["C<2", "D^1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooBoooooBooooooCCCooooDoooAADo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,D^1,A>2\n"]}} {"board": "oooBBBooooooooCCCooAAoDoooEoDoooEoDo", "size": 6, "moves": 4, "solution": ["B<2", "C<1", "D^3", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBooooooooCCCooAAoDoooEoDoooEoDo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,C<1,D^3,A>3\n"]}} {"board": "AAoooBoCCooBDooooBDooEEEDooFFFoGGGoo", "size": 6, "moves": 3, "solution": ["E<1", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoooBoCCooBDooooBDooEEEDooFFFoGGGoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv1,A>4\n"]}} {"board": "oooooBoooooBoooAACoooooCooDDoCoooEEE", "size": 6, "moves": 3, "solution": ["E<1", "Cv1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoooooBoooAACoooooCooDDoCoooEEE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Cv1,A>1\n"]}} {"board": "oooBBBoooooCooAAoCoooooCooooooooDDEE", "size": 6, "moves": 4, "solution": ["D<1", "E<1", "Cv2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBoooooCooAAoCoooooCooooooooDDEE\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,E<1,Cv2,A>2\n"]}} {"board": "oooBBBoAAoCoDDEECoFooGGGFoHHIoFoooIo", "size": 6, "moves": 3, "solution": ["G<2", "Cv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBoAAoCoDDEECoFooGGGFoHHIoFoooIo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<2,Cv1,A>3\n"]}} {"board": "ooooooBooooCBAAooCBooDDCoooooooooEEE", "size": 6, "moves": 3, "solution": ["E<1", "Cv2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooBooooCBAAooCBooDDCoooooooooEEE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Cv2,A>3\n"]}} {"board": "oBoooooBoooooBoooCoAADoCoEEDoCoFFDoo", "size": 6, "moves": 3, "solution": ["C^2", "D^3", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoooooBoooooBoooCoAADoCoEEDoCoFFDoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,D^3,A>3\n"]}} {"board": "ooBoooooBoooAABoooooooooCCCooooooooo", "size": 6, "moves": 3, "solution": ["C>3", "Bv3", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoooooBoooAABoooooooooCCCooooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC>3,Bv3,A>4\n"]}} {"board": "BAACDoBEECDoBFFCDGHooIIGHJJJoGHKKKoo", "size": 6, "moves": 4, "solution": ["I<2", "Cv1", "Cv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BAACDoBEECDoBFFCDGHooIIGHJJJoGHKKKoo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nI<2,Cv1,Cv1,A>3\n"]}} {"board": "oooooooooBBBooooCoAAooCoDDDoCooEEoFF", "size": 6, "moves": 3, "solution": ["B<2", "C^2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBBBooooCoAAooCoDDDoCooEEoFF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,C^2,A>4\n"]}} {"board": "AABoCoDDBECoFoBEooFGGooHIIoooHooJJJH", "size": 6, "moves": 4, "solution": ["Cv1", "G>2", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AABoCoDDBECoFoBEooFGGooHIIoooHooJJJH\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,G>2,Bv1,A>4\n"]}} {"board": "oooooooooooooooBBBoAAooCooDDoCoooooC", "size": 6, "moves": 3, "solution": ["B<1", "C^3", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooooooBBBoAAooCooDDoCoooooC\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,C^3,A>3\n"]}} {"board": "ooAABooCCoBooooDDDEEEooFoGoooFoGoHHF", "size": 6, "moves": 3, "solution": ["D<2", "Bv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAABooCCoBooooDDDEEEooFoGoooFoGoHHF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<2,Bv1,A>2\n"]}} {"board": "oooooooAABoooooBoooooCooDDDCEEooFFFo", "size": 6, "moves": 4, "solution": ["F<2", "Cv1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooAABoooooBoooooCooDDDCEEooFFFo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<2,Cv1,Bv1,A>3\n"]}} {"board": "BBBooCooDooCooDAACoooooooooEEEoooooo", "size": 6, "moves": 3, "solution": ["E<1", "Cv3", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBooCooDooCooDAACoooooooooEEEoooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Cv3,A>1\n"]}} {"board": "ooooooAAoBoooooBoooCCBoDoEEEoDooFFoD", "size": 6, "moves": 3, "solution": ["E<1", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooAAoBoooooBoooCCBoDoEEEoDooFFoD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv1,A>4\n"]}} {"board": "oooooooooooooooooooooooBoooCoBoAACoB", "size": 6, "moves": 3, "solution": ["B^1", "C^1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooooooooooooooBoooCoBoAACoB\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,C^1,A>3\n"]}} {"board": "ooooooBBBCoooooCooDDDoEFAAooEFooooEF", "size": 6, "moves": 3, "solution": ["E^2", "F^2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooBBBCoooooCooDDDoEFAAooEFooooEF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^2,F^2,A>4\n"]}} {"board": "oooooooooBoCoAABoCDoooooDEoFFGDEoooG", "size": 6, "moves": 3, "solution": ["B^1", "C^1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBoCoAABoCDoooooDEoFFGDEoooG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,C^1,A>3\n"]}} {"board": "BoAACoBDDoCoBoEEEooooFFoGHIJJJGHIKKK", "size": 6, "moves": 3, "solution": ["E<1", "Cv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoAACoBDDoCoBoEEEooooFFoGHIJJJGHIKKK\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Cv1,A>2\n"]}} {"board": "ooBBBoCooDDDCEAAFooEGGFHooIIJHKKKoJH", "size": 6, "moves": 4, "solution": ["B<1", "D<2", "F^2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBoCooDDDCEAAFooEGGFHooIIJHKKKoJH\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,D<2,F^2,A>2\n"]}} {"board": "ooBBBooAAoCDooEECDoFFoCoGoooooGHHIII", "size": 6, "moves": 3, "solution": ["Cv1", "Cv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBooAAoCDooEECDoFFoCoGoooooGHHIII\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Cv1,A>3\n"]}} {"board": "BoooooBAAooCooDooCEoDooCEoooFFEooooo", "size": 6, "moves": 3, "solution": ["F<1", "Cv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoooooBAAooCooDooCEoDooCEoooFFEooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Cv1,A>3\n"]}} {"board": "oAAoBoCCooBoDoEFFFDGEHooDGoHoooGoHII", "size": 6, "moves": 4, "solution": ["Ev1", "E<2", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAoBoCCooBoDoEFFFDGEHooDGoHoooGoHII\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,E<2,Bv1,A>3\n"]}} {"board": "BBBooCooAAoCoDDooCooooooooooEEoooFFF", "size": 6, "moves": 3, "solution": ["E<1", "Cv2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBooCooAAoCoDDooCooooooooooEEoooFFF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Cv2,A>2\n"]}} {"board": "oooBBBoooooooooCCCoooDEoFFFDEooAADEo", "size": 6, "moves": 4, "solution": ["C<3", "D^1", "E^1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBoooooooooCCCoooDEoFFFDEooAADEo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<3,D^1,E^1,A>3\n"]}} {"board": "BBBoCooAAoCoDDEECooFoooooFooGGoFoooo", "size": 6, "moves": 3, "solution": ["G<2", "Cv2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBoCooAAoCoDDEECooFoooooFooGGoFoooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<2,Cv2,A>3\n"]}} {"board": "ooAAoBoooooBoooooBoCCCDDoooEEEoFFGGG", "size": 6, "moves": 4, "solution": ["C<1", "D<1", "Bv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAAoBoooooBoooooBoCCCDDoooEEEoFFGGG\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,D<1,Bv1,A>2\n"]}} {"board": "ooBoooooBCCCAAooDoooooDooEoFFFoEoooo", "size": 6, "moves": 4, "solution": ["Bv3", "B<2", "C^2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoooooBCCCAAooDoooooDooEoFFFoEoooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv3,B<2,C^2,A>4\n"]}} {"board": "oooooooooBBBooCoooDoCEFoDooEFoDAAEFo", "size": 6, "moves": 3, "solution": ["E^1", "F^1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBBBooCoooDoCEFoDooEFoDAAEFo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,F^1,A>3\n"]}} {"board": "oooooBAAoCoBoDoCoooDoCooooEEEooFFFoo", "size": 6, "moves": 4, "solution": ["Bv2", "E<2", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBAAoCoBoDoCoooDoCooooEEEooFFFoo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,E<2,Bv1,A>4\n"]}} {"board": "ooooBoooCoBDAACooDooooEEooooooooFFoo", "size": 6, "moves": 3, "solution": ["C^1", "D^1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoooCoBDAACooDooooEEooooooooFFoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^1,A>4\n"]}} {"board": "oooBooAAoBoooCCBoooooDDDooooooooEEoo", "size": 6, "moves": 3, "solution": ["D<3", "Bv2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBooAAoBoooCCBoooooDDDooooooooEEoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<3,Bv2,A>4\n"]}} {"board": "ooooooooooooooBoooAABooCoooooCooDDDC", "size": 6, "moves": 3, "solution": ["B^1", "C^3", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooooooBoooAABooCoooooCooDDDC\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,C^3,A>4\n"]}} {"board": "ooBooCooBooCoooAACooDDooooooEEoooooo", "size": 6, "moves": 3, "solution": ["E<1", "Cv3", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBooCooBooCoooAACooDDooooooEEoooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Cv3,A>1\n"]}} {"board": "ooooBoooAABooCCCoooDDEEooFFooooooooo", "size": 6, "moves": 4, "solution": ["D<1", "E<1", "Bv2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoooAABooCCCoooDDEEooFFooooooooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,E<1,Bv2,A>2\n"]}} {"board": "BAAooCBoDEECooDFFGoHoIIGoHooJJoHooKK", "size": 6, "moves": 4, "solution": ["J<1", "Gv1", "Cv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BAAooCBoDEECooDFFGoHoIIGoHooJJoHooKK\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nJ<1,Gv1,Cv1,A>3\n"]}} {"board": "oooBoCoAABoCooooooooooooooooooooooDD", "size": 6, "moves": 3, "solution": ["Bv2", "Bv2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoCoAABoCooooooooooooooooooooooDD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,Bv2,A>3\n"]}} {"board": "oooBBBooooooooooooAAoCooDooCooDooCoo", "size": 6, "moves": 3, "solution": ["B<3", "C^3", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBooooooooooooAAoCooDooCooDooCoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<3,C^3,A>4\n"]}} {"board": "ooooooooooooooAAoBoooooBoooCoBoooCDD", "size": 6, "moves": 4, "solution": ["C^1", "D<1", "Bv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooooooAAoBoooooBoooCoBoooCDD\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D<1,Bv1,A>2\n"]}} {"board": "BCooDoBCEoDoBFEoDoGFEHHHGAAooIGooJJI", "size": 6, "moves": 4, "solution": ["E^1", "H<1", "I^2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BCooDoBCEoDoBFEoDoGFEHHHGAAooIGooJJI\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,H<1,I^2,A>3\n"]}} {"board": "ooBooCDoBooCDoBooCoooEEEoFFFoGoAAooG", "size": 6, "moves": 3, "solution": ["E<1", "G^1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBooCDoBooCDoBooCoooEEEoFFFoGoAAooG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,G^1,A>3\n"]}} {"board": "AAoBooCCCBooDDDEEoFFGGoHoIJooHoIJooH", "size": 6, "moves": 3, "solution": ["E>1", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoBooCCCBooDDDEEoFFGGoHoIJooHoIJooH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE>1,Bv1,A>4\n"]}} {"board": "ooBBBooCCCDooooEDFGooEHFGIoEHoGIAAHo", "size": 6, "moves": 4, "solution": ["B<1", "D^1", "H^1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBooCCCDooooEDFGooEHFGIoEHoGIAAHo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,D^1,H^1,A>2\n"]}} {"board": "AAoBoooooBoooCCCooDooEooDooEooDooEoo", "size": 6, "moves": 3, "solution": ["C<1", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoBoooooBoooCCCooDooEooDooEooDooEoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,Bv1,A>4\n"]}} {"board": "oooAABoooooBoooCCCoDoooooDoooooDoEEo", "size": 6, "moves": 3, "solution": ["C<1", "Bv1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooAABoooooBoooCCCoDoooooDoooooDoEEo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,Bv1,A>1\n"]}} {"board": "BBBooooooCooDooCooDEoFFFDEoooGoAAooG", "size": 6, "moves": 3, "solution": ["F<1", "G^1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBooooooCooDooCooDEoFFFDEoooGoAAooG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,G^1,A>3\n"]}} {"board": "oooooooooooBooCCCBoooDoBoAADoooooDoo", "size": 6, "moves": 3, "solution": ["C<2", "D^2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooBooCCCBoooDoBoAADoooooDoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,D^2,A>3\n"]}} {"board": "oooBoooCoBooDCoBooDEEEFoDoAAFGooooFG", "size": 6, "moves": 3, "solution": ["F^2", "G^2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoooCoBooDCoBooDEEEFoDoAAFGooooFG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^2,G^2,A>2\n"]}} {"board": "oooooooooooooooooBoooooBCooooDCooAAD", "size": 6, "moves": 3, "solution": ["B^1", "D^1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooooooooBoooooBCooooDCooAAD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,D^1,A>1\n"]}} {"board": "oAABoCoDoBoCoDoBoCEooFFoEooGoHoIIGoH", "size": 6, "moves": 4, "solution": ["Cv1", "F<2", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAABoCoDoBoCoDoBoCEooFFoEooGoHoIIGoH\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,F<2,Bv1,A>3\n"]}} {"board": "oooooooooBBBoooCooDAACooDoEEEoDoooFF", "size": 6, "moves": 3, "solution": ["B<3", "C^1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBBBoooCooDAACooDoEEEoDoooFF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<3,C^1,A>3\n"]}} {"board": "ooooooBooCooBooCDoooAADEFFFoDEGGHHoo", "size": 6, "moves": 3, "solution": ["D^2", "E^2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooBooCooBooCDoooAADEFFFoDEGGHHoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,E^2,A>2\n"]}} {"board": "ooooBooAAoBCDoEEECDFoooCDFoooooFoooo", "size": 6, "moves": 4, "solution": ["Cv1", "D<1", "Bv2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBooAAoBCDoEEECDFoooCDFoooooFoooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,D<1,Bv2,A>3\n"]}} {"board": "BBBoCoooAACoooooCooooDDDoooEEooooooo", "size": 6, "moves": 4, "solution": ["D<2", "E<1", "Cv2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBoCoooAACoooooCooooDDDoooEEooooooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<2,E<1,Cv2,A>2\n"]}} {"board": "oBBBoooooooooCoooooCoDooAAoDEooooDEo", "size": 6, "moves": 3, "solution": ["D^2", "E^2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBoooooooooCoooooCoDooAAoDEooooDEo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,E^2,A>4\n"]}} {"board": "oooooBCooAABCooooBCoooDDoEoooooEFFFo", "size": 6, "moves": 3, "solution": ["D<1", "Bv2", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBCooAABCooooBCoooDDoEoooooEFFFo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv2,A>1\n"]}} {"board": "BBBCCCoooDoEoAADoEooFFooGGHoooooHIII", "size": 6, "moves": 4, "solution": ["Ev2", "E<1", "Dv2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBCCCoooDoEoAADoEooFFooGGHoooooHIII\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv2,E<1,Dv2,A>3\n"]}} {"board": "oooooooooBBBooooCoooooCooAAoCooooooo", "size": 6, "moves": 3, "solution": ["B<2", "C^1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBBBooooCoooooCooAAoCooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,C^1,A>3\n"]}} {"board": "ooAABCDDDoBCoEEEBoFooGGHFIIJJHFooKKH", "size": 6, "moves": 4, "solution": ["Cv1", "G<1", "Bv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAABCDDDoBCoEEEBoFooGGHFIIJJHFooKKH\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,G<1,Bv1,A>2\n"]}} {"board": "BoCoooBoCoDoooCoDEoAAoDEFooooGFooooG", "size": 6, "moves": 3, "solution": ["D^1", "E^1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoCoooBoCoDoooCoDEoAAoDEFooooGFooooG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E^1,A>3\n"]}} {"board": "oooooooooBoCoooBoCDAAEoCDFFEooDooooo", "size": 6, "moves": 3, "solution": ["C^1", "Ev1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBoCoooBoCDAAEoCDFFEooDooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,Ev1,A>3\n"]}} {"board": "ooAAoBoCoooBoCoDDDoCoEEEoooooFoooooF", "size": 6, "moves": 3, "solution": ["D<1", "Bv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAAoBoCoooBoCoDDDoCoEEEoooooFoooooF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv1,A>2\n"]}} {"board": "oBoooooBooooCBoDDDCAAEFoCooEFooooGGG", "size": 6, "moves": 4, "solution": ["G<3", "Ev1", "Ev1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoooooBooooCBoDDDCAAEFoCooEFooooGGG\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<3,Ev1,Ev1,A>3\n"]}} {"board": "oooooBoAAooBooooCCDDoooooooooooooooo", "size": 6, "moves": 3, "solution": ["C<1", "Bv2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoAAooBooooCCDDoooooooooooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,Bv2,A>3\n"]}} {"board": "ooBBBCAADooCoEDFFCoEDoGoHHoIGooooIJJ", "size": 6, "moves": 3, "solution": ["Cv2", "Cv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBCAADooCoEDFFCoEDoGoHHoIGooooIJJ\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,Cv1,A>4\n"]}} {"board": "oooooooooBBBoooCCCoooooooAAoDoooEEDo", "size": 6, "moves": 3, "solution": ["C<2", "D^2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBBBoooCCCoooooooAAoDoooEEDo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,D^2,A>3\n"]}} {"board": "BoooooBooooooooCCCooAADEooooDEooooDE", "size": 6, "moves": 4, "solution": ["C<2", "D^3", "E^3", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoooooBooooooooCCCooAADEooooDEooooDE\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,D^3,E^3,A>2\n"]}} {"board": "oooBBBoAAoCooDDDCooooEEEoFFFooGGGHHo", "size": 6, "moves": 3, "solution": ["E<2", "Cv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBoAAoCooDDDCooooEEEoFFFooGGGHHo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<2,Cv1,A>3\n"]}} {"board": "oooBoCAAoBoCDEEoFFDoooooGHIoJJGHIKKK", "size": 6, "moves": 4, "solution": ["Bv3", "E<1", "Bv2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoCAAoBoCDEEoFFDoooooGHIoJJGHIKKK\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv3,E<1,Bv2,A>4\n"]}} {"board": "oAABooCooBooCooBooCooDDEoooooEooooFF", "size": 6, "moves": 3, "solution": ["D<2", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAABooCooBooCooBooCooDDEoooooEooooFF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<2,Bv1,A>3\n"]}} {"board": "AAooBCooooBCooooooooooooooooDDoooooo", "size": 6, "moves": 3, "solution": ["Bv1", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAooBCooooBCooooooooooooooooDDoooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>4\n"]}} {"board": "ooooooooBCCCooBooDEFoAADEFooGGEFoooo", "size": 6, "moves": 3, "solution": ["G<1", "Dv2", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooBCCCooBooDEFoAADEFooGGEFoooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,Dv2,A>1\n"]}} {"board": "oAAooBooCooBooCoDDooCEFGoooEFGoHHHFo", "size": 6, "moves": 3, "solution": ["D<1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAooBooCooBooCoDDooCEFGoooEFGoHHHFo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv1,A>3\n"]}} {"board": "oAAooBooCCoBDDDooBoooEEEooooooFFoooo", "size": 6, "moves": 3, "solution": ["E<1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAooBooCCoBDDDooBoooEEEooooooFFoooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv1,A>3\n"]}} {"board": "ooooBooAAoBCDEooBCDEoooCDoFFoooooGGo", "size": 6, "moves": 3, "solution": ["Bv2", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBooAAoBCDEooBCDEoooCDoFFoooooGGo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,Bv1,A>3\n"]}} {"board": "ooooBoooooBCooooBCoAADECoooDEooooooo", "size": 6, "moves": 4, "solution": ["C^1", "D^2", "Ev1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoooooBCooooBCoAADECoooDEooooooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^2,Ev1,A>3\n"]}} {"board": "oBoooCoBDooCoBDAACEEEFFooGoHHHoGIIoo", "size": 6, "moves": 3, "solution": ["H<1", "Cv3", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoooCoBDooCoBDAACEEEFFooGoHHHoGIIoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nH<1,Cv3,A>1\n"]}} {"board": "oBBBooooCoooAACoooooDooEooDoFEooDoFo", "size": 6, "moves": 3, "solution": ["B>2", "C^1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBooooCoooAACoooooDooEooDoFEooDoFo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB>2,C^1,A>4\n"]}} {"board": "oBCooDoBCAADoBoooDoooEEEooFoooooFGGo", "size": 6, "moves": 3, "solution": ["E<1", "Dv2", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBCooDoBCAADoBoooDoooEEEooFoooooFGGo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Dv2,A>1\n"]}} {"board": "BoCCCDBAAooDBoooEEoooFGHoIIFGHoJJFGo", "size": 6, "moves": 4, "solution": ["E<1", "Hv1", "Dv2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoCCCDBAAooDBoooEEoooFGHoIIFGHoJJFGo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Hv1,Dv2,A>3\n"]}} {"board": "BooCCCBooooDBEoooDoEAAoDoEoooooooFFo", "size": 6, "moves": 3, "solution": ["C<1", "D^1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BooCCCBooooDBEoooDoEAAoDoEoooooooFFo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,D^1,A>2\n"]}} {"board": "BoooooBCCCooBooooooAADoooooDoooooDoo", "size": 6, "moves": 4, "solution": ["Bv2", "B<1", "D^3", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoooooBCCCooBooooooAADoooooDoooooDoo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,B<1,D^3,A>3\n"]}} {"board": "ooooBoAAooBCoooooCoooooCoooDDDoooooo", "size": 6, "moves": 4, "solution": ["Bv2", "D<1", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoAAooBCoooooCoooooCoooDDDoooooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,D<1,Bv1,A>4\n"]}} {"board": "ooooooooooooooooBoooooBoooAACoooooCo", "size": 6, "moves": 3, "solution": ["B^2", "C^2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooooooooBoooooBoooAACoooooCo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^2,C^2,A>2\n"]}} {"board": "oooooBoooAABoooooBoooooooooCCCooDDDo", "size": 6, "moves": 3, "solution": ["C<1", "Bv2", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoooAABoooooBoooooooooCCCooDDDo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,Bv2,A>1\n"]}} {"board": "oBoooooBooooCBoDDDCooEEECooFoooAAFoo", "size": 6, "moves": 4, "solution": ["C^2", "E<3", "F^1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoooooBooooCBoDDDCooEEECooFoooAAFoo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,E<3,F^1,A>3\n"]}} {"board": "oooBBBoooooCooAAoCDEEEoFDooooFDooGGF", "size": 6, "moves": 3, "solution": ["B<1", "C^1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBoooooCooAAoCDEEEoFDooooFDooGGF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,C^1,A>2\n"]}} {"board": "ooooooooooBooAACBooooCBooooCoooooooo", "size": 6, "moves": 3, "solution": ["Bv2", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooBooAACBooooCBooooCoooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,Bv1,A>3\n"]}} {"board": "oBoAACDBEEECDFGGoCDFooHHooIIJJoooKKo", "size": 6, "moves": 3, "solution": ["H<1", "Cv1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoAACDBEEECDFGGoCDFooHHooIIJJoooKKo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nH<1,Cv1,A>1\n"]}} {"board": "oooooooooBoooooBooooooCDooooCDooAACD", "size": 6, "moves": 3, "solution": ["C^1", "D^1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBoooooBooooooCDooooCDooAACD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^1,A>2\n"]}} {"board": "oAAoBoooooBooCDEEFoCDooFoCoooFGGGHHo", "size": 6, "moves": 4, "solution": ["Dv1", "D<1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAoBoooooBooCDEEFoCDooFoCoooFGGGHHo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,D<1,Bv1,A>3\n"]}} {"board": "ooBCCCooBoDoooAADoooEFFoooEooGoooooG", "size": 6, "moves": 4, "solution": ["Ev1", "E<1", "Dv2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBCCCooBoDoooAADoooEFFoooEooGoooooG\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,E<1,Dv2,A>2\n"]}} {"board": "ooAABoooooBoooooBoCDooEECDFoGoCDFoGo", "size": 6, "moves": 3, "solution": ["E<2", "Bv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAABoooooBoooooBoCDooEECDFoGoCDFoGo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<2,Bv1,A>2\n"]}} {"board": "BooCCCBoooooBooDDDEAAooFEooGHFoooGHF", "size": 6, "moves": 4, "solution": ["C<1", "D<1", "F^3", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BooCCCBoooooBooDDDEAAooFEooGHFoooGHF\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,D<1,F^3,A>3\n"]}} {"board": "ooooooAAoBoCoooBoCooDBoCEEDoooooDooo", "size": 6, "moves": 3, "solution": ["Bv1", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooAAoBoCoooBoCooDBoCEEDoooooDooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>4\n"]}} {"board": "oBoAACDBEEECDoFFGGDHHIIIJJKLooooKLoo", "size": 6, "moves": 4, "solution": ["F<1", "G<1", "Cv1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoAACDBEEECDoFFGGDHHIIIJJKLooooKLoo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,G<1,Cv1,A>1\n"]}} {"board": "ooBBBooooCCCAADoEoooDoEoFFoGoHoooGoH", "size": 6, "moves": 3, "solution": ["Dv1", "Dv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBooooCCCAADoEoooDoEoFFoGoHoooGoH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,Dv1,A>4\n"]}} {"board": "oooooooooooooooBoooAABoCoooBDCooEEDC", "size": 6, "moves": 3, "solution": ["B^2", "C^3", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooooooBoooAABoCoooBDCooEEDC\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^2,C^3,A>3\n"]}} {"board": "oBBBCooDDDCooEEEooFFFoGHIIIoGHooAAGH", "size": 6, "moves": 3, "solution": ["G^1", "H^1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBCooDDDCooEEEooFFFoGHIIIoGHooAAGH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nG^1,H^1,A>2\n"]}} {"board": "ooAAoBoCDDDBoCoEEBoCoFFFGooHoIGooHoI", "size": 6, "moves": 3, "solution": ["F<1", "Bv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAAoBoCDDDBoCoEEBoCoFFFGooHoIGooHoI\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Bv1,A>2\n"]}} {"board": "ooooBoooooBooCAABooCDDDooooEoooooEoo", "size": 6, "moves": 4, "solution": ["C^1", "D<1", "Bv3", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoooooBooCAABooCDDDooooEoooooEoo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D<1,Bv3,A>2\n"]}} {"board": "oBBBoCoooDoCAAoDoCoooEooFooEooFooooo", "size": 6, "moves": 4, "solution": ["B<1", "Cv3", "C^1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBoCoooDoCAAoDoCoooEooFooEooFooooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,Cv3,C^1,A>4\n"]}} {"board": "ooooooooAABoooooBoCoooBoCDooEEoDoooo", "size": 6, "moves": 3, "solution": ["E<2", "Bv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooAABoooooBoCoooBoCDooEEoDoooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<2,Bv1,A>2\n"]}} {"board": "BooCooBAACooDooEEEDoooFFDooooooooooo", "size": 6, "moves": 4, "solution": ["Dv1", "D<3", "Cv2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BooCooBAACooDooEEEDoooFFDooooooooooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,D<3,Cv2,A>3\n"]}} {"board": "ooBBBoCoooDoCoooDooEAADooEoooooEoooo", "size": 6, "moves": 3, "solution": ["B<1", "D^1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBoCoooDoCoooDooEAADooEoooooEoooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,D^1,A>2\n"]}} {"board": "oooooooooBBBAACoDoooCEDoooCEDooooEoo", "size": 6, "moves": 3, "solution": ["Cv1", "Cv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBBBAACoDoooCEDoooCEDooooEoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Cv1,A>4\n"]}} {"board": "BoooooBoooooBooooCoAADoCEEEDoooooDFF", "size": 6, "moves": 3, "solution": ["C^1", "D^3", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoooooBoooooBooooCoAADoCEEEDoooooDFF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^3,A>3\n"]}} {"board": "ooooooBBBoooCoDDDoCoooEoCoAAEFooGGEF", "size": 6, "moves": 4, "solution": ["D<1", "E^2", "F^2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooBBBoooCoDDDoCoooEoCoAAEFooGGEF\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,E^2,F^2,A>2\n"]}} {"board": "ooBBBoCoooDoCoAADECooFoEGooFooGooFoo", "size": 6, "moves": 3, "solution": ["Dv2", "D^2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBoCoooDoCoAADECooFoEGooFooGooFoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv2,D^2,A>2\n"]}} {"board": "oooBoooAABoooooBoCoDDDoCEEoooooooooo", "size": 6, "moves": 3, "solution": ["D<1", "Bv2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoooAABoooooBoCoDDDoCEEoooooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv2,A>3\n"]}} {"board": "oooooooAAooBoooooBoooooBCCoDDDoooooo", "size": 6, "moves": 3, "solution": ["D<1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooAAooBoooooBoooooBCCoDDDoooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv1,A>3\n"]}} {"board": "BBBCoooooCDoooECDoooEoFoooEoFooAAoFo", "size": 6, "moves": 3, "solution": ["D^1", "F^1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBCoooooCDoooECDoooEoFoooEoFooAAoFo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,F^1,A>3\n"]}} {"board": "BoAAoCBooDDCBEEEoCooooFGHIooFGHIJJFo", "size": 6, "moves": 3, "solution": ["Gv1", "Cv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoAAoCBooDDCBEEEoCooooFGHIooFGHIJJFo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nGv1,Cv1,A>2\n"]}} {"board": "ooBBBoooooCDooooCDEAAoCDEoooooEooooo", "size": 6, "moves": 4, "solution": ["B<1", "C^1", "D^1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBoooooCDooooCDEAAoCDEoooooEooooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,C^1,D^1,A>3\n"]}} {"board": "ooBBBoooooooooooCoooAACoooooCooooooo", "size": 6, "moves": 3, "solution": ["B<1", "C^2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBoooooooooooCoooAACoooooCooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,C^2,A>2\n"]}} {"board": "BoooooBooooooCoDDDoCEAAFoCEooFooEooF", "size": 6, "moves": 3, "solution": ["D<1", "F^3", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoooooBooooooCoDDDoCEAAFoCEooFooEooF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,F^3,A>1\n"]}} {"board": "AAoooBooCCoBDDoEEEoFFGHHIIIGoooJJGoo", "size": 6, "moves": 3, "solution": ["E<1", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoooBooCCoBDDoEEEoFFGHHIIIGoooJJGoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv1,A>4\n"]}} {"board": "BCooDoBCooDEBCoAAEoooooEoFFoGGoooHHH", "size": 6, "moves": 4, "solution": ["G<1", "H<1", "Ev2", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BCooDoBCooDEBCoAAEoooooEoFFoGGoooHHH\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,H<1,Ev2,A>1\n"]}} {"board": "ooAABoooCCBoooooBooooDDDoEEooooFFFoo", "size": 6, "moves": 3, "solution": ["D<2", "Bv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAABoooCCBoooooBooooDDDoEEooooFFFoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<2,Bv1,A>2\n"]}} {"board": "ooBoCoDoBoCoDoooEoFoAAEoFoooGGFooHHH", "size": 6, "moves": 4, "solution": ["G<2", "H<2", "Ev2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoCoDoBoCoDoooEoFoAAEoFoooGGFooHHH\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<2,H<2,Ev2,A>2\n"]}} {"board": "oooooooooooooooBBBooooCDooooCDoooAAD", "size": 6, "moves": 3, "solution": ["B<1", "D^1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooooooBBBooooCDooooCDoooAAD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,D^1,A>1\n"]}} {"board": "AAooBCoDDDBCEFFFGCEoHHGooIIoGJKKKooJ", "size": 6, "moves": 4, "solution": ["Cv1", "Gv1", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAooBCoDDDBCEFFFGCEoHHGooIIoGJKKKooJ\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Gv1,Bv1,A>4\n"]}} {"board": "ooooooBoooooBoooooBoAACDooEECDFFFoCD", "size": 6, "moves": 3, "solution": ["C^3", "D^3", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooBoooooBoooooBoAACDooEECDFFFoCD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^3,D^3,A>2\n"]}} {"board": "oooAABoooooBoooCCCDDoEFoooGEFoooGEFo", "size": 6, "moves": 3, "solution": ["C<1", "Bv1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooAABoooooBoooCCCDDoEFoooGEFoooGEFo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,Bv1,A>1\n"]}} {"board": "BAAooCBooDoCBooDoCEFoGGGEFHIIIEFHJJJ", "size": 6, "moves": 3, "solution": ["G<1", "Cv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BAAooCBooDoCBooDoCEFoGGGEFHIIIEFHJJJ\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,Cv1,A>3\n"]}} {"board": "oBoooooBooCooBoDCooAADCooooDoooooooo", "size": 6, "moves": 3, "solution": ["C^1", "D^2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoooooBooCooBoDCooAADCooooDoooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^2,A>3\n"]}} {"board": "oooooooooBoooAABoooooBoCoooooCoooDDo", "size": 6, "moves": 3, "solution": ["D<2", "Bv2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBoooAABoooooBoCoooooCoooDDo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<2,Bv2,A>3\n"]}} {"board": "oooooooooooooooBBBoAACoooooCooooDDDo", "size": 6, "moves": 3, "solution": ["B<3", "C^2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooooooBBBoAACoooooCooooDDDo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<3,C^2,A>3\n"]}} {"board": "ooooooooBoooooBoCooAAoCDEEoooDoFFooD", "size": 6, "moves": 3, "solution": ["C^1", "D^3", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooBoooooBoCooAAoCDEEoooDoFFooD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^3,A>3\n"]}} {"board": "oBoooooBooCooBooCoooAACDEFoooDEFoooo", "size": 6, "moves": 3, "solution": ["C^1", "D^2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoooooBooCooBooCoooAACDEFoooDEFoooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^2,A>2\n"]}} {"board": "AABoCDEEBoCDoFooCDoFGoooHFGoIIHoGJJJ", "size": 6, "moves": 4, "solution": ["Bv1", "Bv1", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AABoCDEEBoCDoFooCDoFGoooHFGoIIHoGJJJ\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,Bv1,A>4\n"]}} {"board": "oBoooooBAACDEoFoCDEoFoooGGFooooHHooo", "size": 6, "moves": 3, "solution": ["Cv1", "Cv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoooooBAACDEoFoCDEoFoooGGFooooHHooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Cv1,A>2\n"]}} {"board": "oooooooooooBooAACBooooCDoooooDoooooD", "size": 6, "moves": 3, "solution": ["B^1", "C^2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooBooAACBooooCDoooooDoooooD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,C^2,A>2\n"]}} {"board": "ooAAoBCCDDDBoEEoFFoGGGHIoJooHIoJooHI", "size": 6, "moves": 3, "solution": ["F<1", "Bv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAAoBCCDDDBoEEoFFoGGGHIoJooHIoJooHI\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Bv1,A>2\n"]}} {"board": "oooooooooBBBoooooCooooDCooAADCooooDo", "size": 6, "moves": 4, "solution": ["B<2", "C^1", "D^2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBBBoooooCooooDCooAADCooooDo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,C^1,D^2,A>2\n"]}} {"board": "ooooooooooooooooBCoAADBCEEoDBooooooo", "size": 6, "moves": 4, "solution": ["B^2", "C^1", "D^2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooooooooBCoAADBCEEoDBooooooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^2,C^1,D^2,A>3\n"]}} {"board": "AAooBCooooBCoooooooDDoEEoooooFoooooF", "size": 6, "moves": 3, "solution": ["Bv1", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAooBCooooBCoooooooDDoEEoooooFoooooF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>4\n"]}} {"board": "oBBBooCDDDEFCoAAEFoGGooFoHIIIooHJJoo", "size": 6, "moves": 3, "solution": ["E^1", "Fv2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBooCDDDEFCoAAEFoGGooFoHIIIooHJJoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,Fv2,A>2\n"]}} {"board": "oooBBBoCooDooCAADooCooEEFFFGGGoHHIIo", "size": 6, "moves": 3, "solution": ["B<2", "D^1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBoCooDooCAADooCooEEFFFGGGoHHIIo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,D^1,A>2\n"]}} {"board": "ooAAoBCDoooBCDoEEECDoooFoooooFooGGGF", "size": 6, "moves": 3, "solution": ["E<1", "Bv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAAoBCDoooBCDoEEECDoooFoooooFooGGGF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv1,A>2\n"]}} {"board": "oooBBBoooooooooooCoDAAoCEDoooCEDoooo", "size": 6, "moves": 3, "solution": ["B<1", "C^2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBoooooooooooCoDAAoCEDoooCEDoooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,C^2,A>2\n"]}} {"board": "oooBoooooBoooAABoooooCCCoDoooooDoooo", "size": 6, "moves": 3, "solution": ["C<3", "Bv3", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoooooBoooAABoooooCCCoDoooooDoooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<3,Bv3,A>3\n"]}} {"board": "BAAoCoBoooCoBooDDooEEooooooFFFoGGGHH", "size": 6, "moves": 3, "solution": ["D<1", "Cv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BAAoCoBoooCoBooDDooEEooooooFFFoGGGHH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Cv1,A>3\n"]}} {"board": "oooBooAAoBooCCoBoooDDDoooooEEEoooooo", "size": 6, "moves": 4, "solution": ["D<1", "E<3", "Bv2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBooAAoBooCCoBoooDDDoooooEEEoooooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,E<3,Bv2,A>4\n"]}} {"board": "oooBBBooooooCoooooCDDDoECoooFEooAAFE", "size": 6, "moves": 3, "solution": ["E^1", "F^1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBooooooCoooooCDDDoECoooFEooAAFE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,F^1,A>2\n"]}} {"board": "AAoBooCooBooCDDBooooEEFooooGFHoooGoH", "size": 6, "moves": 3, "solution": ["E<1", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoBooCooBooCDDBooooEEFooooGFHoooGoH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv1,A>4\n"]}} {"board": "ooooooooooooAABoCoooBoCooooooooooooo", "size": 6, "moves": 3, "solution": ["B^2", "C^2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooooAABoCoooBoCooooooooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^2,C^2,A>4\n"]}} {"board": "oooooooooooooooBBBCCCooDoooooDAAoooD", "size": 6, "moves": 3, "solution": ["B<1", "D^1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooooooBBBCCCooDoooooDAAoooD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,D^1,A>4\n"]}} {"board": "ooooBCoDDDBCoooEEEFGooHoFGAAHoFGoIII", "size": 6, "moves": 3, "solution": ["E<2", "H^1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBCoDDDBCoooEEEFGooHoFGAAHoFGoIII\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<2,H^1,A>2\n"]}} {"board": "oooBooAACBDoooCoDooooooooooooooooooo", "size": 6, "moves": 4, "solution": ["Bv2", "Bv1", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBooAACBDoooCoDooooooooooooooooooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,Bv1,Bv1,A>4\n"]}} {"board": "oAAoBoCCCoBoDooEEEDFFoooDoGGoooooHHH", "size": 6, "moves": 3, "solution": ["E<2", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAoBoCCCoBoDooEEEDFFoooDoGGoooooHHH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<2,Bv1,A>3\n"]}} {"board": "oAAooBoooooBoooooBooCoDDooCEEEooCooo", "size": 6, "moves": 3, "solution": ["D<1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAooBoooooBoooooBooCoDDooCEEEooCooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv1,A>3\n"]}} {"board": "oAAoBoCCooBoooooBoDEoFFGDEoooGDooooG", "size": 6, "moves": 3, "solution": ["F<1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAoBoCCooBoooooBoDEoFFGDEoooGDooooG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Bv1,A>3\n"]}} {"board": "oooooooooooooooBoooAABoCDooBoCDooooC", "size": 6, "moves": 3, "solution": ["B^2", "C^3", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooooooBoooAABoCDooBoCDooooC\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^2,C^3,A>3\n"]}} {"board": "oBBBoCAAoooCDooEEFDGGGHFDIooHooIJJJo", "size": 6, "moves": 3, "solution": ["Fv2", "Cv2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBoCAAoooCDooEEFDGGGHFDIooHooIJJJo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nFv2,Cv2,A>4\n"]}} {"board": "oBoooCoBDooCoBDooCAADoEooFFFEoooooEo", "size": 6, "moves": 3, "solution": ["D^1", "E^3", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoooCoBDooCoBDooCAADoEooFFFEoooooEo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E^3,A>4\n"]}} {"board": "ooAAoBCCCDoBoooDEEooooFFGoooooGHHooo", "size": 6, "moves": 4, "solution": ["Dv2", "D<1", "Bv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAAoBCCCDoBoooDEEooooFFGoooooGHHooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv2,D<1,Bv1,A>2\n"]}} {"board": "oooooooBBBoooooCCCoDoooEoDoAAEoDoFFE", "size": 6, "moves": 3, "solution": ["C<1", "E^2", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooBBBoooooCCCoDoooEoDoAAEoDoFFE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,E^2,A>1\n"]}} {"board": "BoAAoCBDDooCBooEEFGHHIoFGooIoooJJIoo", "size": 6, "moves": 3, "solution": ["Fv1", "Cv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoAAoCBDDooCBooEEFGHHIoFGooIoooJJIoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nFv1,Cv1,A>2\n"]}} {"board": "oAABoCoooBoCDoooooDooEEEDooooooooooo", "size": 6, "moves": 3, "solution": ["Bv1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAABoCoooBoCDoooooDooEEEDooooooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>3\n"]}} {"board": "ooAABCDooEBCDFFEBGHIIEoGHJoooGoJoooo", "size": 6, "moves": 4, "solution": ["Bv1", "Gv1", "Bv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAABCDooEBCDFFEBGHIIEoGHJoooGoJoooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Gv1,Bv1,A>2\n"]}} {"board": "oooBoooooBoooAABoooCCooooooDDDoooooo", "size": 6, "moves": 3, "solution": ["D<3", "Bv3", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoooooBoooAABoooCCooooooDDDoooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<3,Bv3,A>3\n"]}} {"board": "BBBooooooooCAAooDCooooDoEEooDooooooo", "size": 6, "moves": 3, "solution": ["C^1", "Dv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBooooooooCAAooDCooooDoEEooDooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,Dv1,A>4\n"]}} {"board": "oAAoBooCooBooCooBooooDDDEFGGGoEFoooo", "size": 6, "moves": 3, "solution": ["D<2", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAoBooCooBooCooBooooDDDEFGGGoEFoooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<2,Bv1,A>3\n"]}} {"board": "oBooooCBooooCBooooCoDEoFooDEoFAADEoo", "size": 6, "moves": 3, "solution": ["D^1", "E^1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBooooCBooooCBooooCoDEoFooDEoFAADEoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E^1,A>4\n"]}} {"board": "oooBBBooAACoDDooCoEFoGGHEFIooHEFIooH", "size": 6, "moves": 3, "solution": ["G<1", "Cv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBooAACoDDooCoEFoGGHEFIooHEFIooH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,Cv1,A>2\n"]}} {"board": "oBBBCoooooCDAAooEDoooFEDGGoFEoHHHFoo", "size": 6, "moves": 3, "solution": ["Dv2", "Dv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBCoooooCDAAooEDoooFEDGGoFEoHHHFoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv2,Dv1,A>4\n"]}} {"board": "ooBoooAABooooCCDDoEEEoooFGGGooFooooo", "size": 6, "moves": 4, "solution": ["C<1", "E>3", "Bv2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoooAABooooCCDDoEEEoooFGGGooFooooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,E>3,Bv2,A>4\n"]}} {"board": "oooooBoAAooBooooCCoooDDDEEEFFFoooooo", "size": 6, "moves": 4, "solution": ["C<1", "D<1", "Bv2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoAAooBooooCCoooDDDEEEFFFoooooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,D<1,Bv2,A>3\n"]}} {"board": "oooooooooBooAAoBoooooBooooooooooCCCo", "size": 6, "moves": 3, "solution": ["C<2", "Bv2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBooAAoBoooooBooooooooooCCCo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,Bv2,A>4\n"]}} {"board": "ooooBoAAoCBooooCBoooooDDEEoooooooooo", "size": 6, "moves": 4, "solution": ["Cv3", "C<2", "Bv2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoAAoCBooooCBoooooDDEEoooooooooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv3,C<2,Bv2,A>4\n"]}} {"board": "BCAAoDBCoooDoEEEoDoFFGGGooHHHIoJJKKI", "size": 6, "moves": 4, "solution": ["F<1", "G<1", "Dv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BCAAoDBCoooDoEEEoDoFFGGGooHHHIoJJKKI\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,G<1,Dv1,A>2\n"]}} {"board": "oooooBoooooBCoAAoBCoooooCDDoooEEooFF", "size": 6, "moves": 3, "solution": ["F<1", "Bv3", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoooooBCoAAoBCoooooCDDoooEEooFF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Bv3,A>2\n"]}} {"board": "oooooBoAAooBooooooCCDoEEooDoooooDFFF", "size": 6, "moves": 3, "solution": ["E<1", "Bv2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoAAooBooooooCCDoEEooDoooooDFFF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv2,A>3\n"]}} {"board": "BooCooBooCooBoAAoDoooooDoooooDoooEEE", "size": 6, "moves": 3, "solution": ["E<1", "Dv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BooCooBooCooBoAAoDoooooDoooooDoooEEE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Dv1,A>2\n"]}} {"board": "BBBCCCDEEEooDooFFFGHoooIGHJJJIAAoooI", "size": 6, "moves": 3, "solution": ["F<1", "I^1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBCCCDEEEooDooFFFGHoooIGHJJJIAAoooI\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,I^1,A>4\n"]}} {"board": "BAACooBooCooBDDCoooooEEEooFoooooFooo", "size": 6, "moves": 3, "solution": ["E<3", "Cv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BAACooBooCooBDDCoooooEEEooFoooooFooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<3,Cv1,A>3\n"]}} {"board": "ooooooooooooooooooAAoBoCDDoBoCoooooC", "size": 6, "moves": 3, "solution": ["B^2", "C^3", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooooooooooAAoBoCDDoBoCoooooC\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^2,C^3,A>4\n"]}} {"board": "BoooooBoooooCoooDECooFDEGGGFHoooAAHo", "size": 6, "moves": 3, "solution": ["D^1", "H^1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoooooBoooooCoooDECooFDEGGGFHoooAAHo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,H^1,A>2\n"]}} {"board": "ooooooooooooooooooooAABCDDEEBCooooBo", "size": 6, "moves": 3, "solution": ["B^3", "C^2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooooooooooooAABCDDEEBCooooBo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^3,C^2,A>2\n"]}} {"board": "oooooBoooooBooAAoBooooCCoooooooooooo", "size": 6, "moves": 3, "solution": ["C<1", "Bv3", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoooooBooAAoBooooCCoooooooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,Bv3,A>2\n"]}} {"board": "AAoBCDoEFBCDoEFoCDGHFoooGHoIIIGHJJoo", "size": 6, "moves": 4, "solution": ["Bv1", "Bv1", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoBCDoEFBCDoEFoCDGHFoooGHoIIIGHJJoo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,Bv1,A>4\n"]}} {"board": "BoooooBoooooBoooCoAAoDCoEEoDoooooDoo", "size": 6, "moves": 3, "solution": ["C^1", "D^3", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoooooBoooooBoooCoAAoDCoEEoDoooooDoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^3,A>4\n"]}} {"board": "ooAAoBooCooBooCoDDooCooooooooooooooo", "size": 6, "moves": 3, "solution": ["D<1", "Bv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAAoBooCooBooCoDDooCooooooooooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv1,A>2\n"]}} {"board": "oAAooBoooooBoooCDDoooCoEoooCoEFFoooE", "size": 6, "moves": 4, "solution": ["Cv1", "C<1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAooBoooooBoooCDDoooCoEoooCoEFFoooE\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,C<1,Bv1,A>3\n"]}} {"board": "oooooooooooooooooooooBBBAAoCoooooCoo", "size": 6, "moves": 3, "solution": ["B<3", "C^2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooooooooooooBBBAAoCoooooCoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<3,C^2,A>4\n"]}} {"board": "oooooooooBBBoCCCDooEooDFoEAAoFoooGGF", "size": 6, "moves": 3, "solution": ["B<1", "F^2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBBBoCCCDooEooDFoEAAoFoooGGF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,F^2,A>2\n"]}} {"board": "ooooBCoDooBCoDAAoCoDoEEEoooooooooooo", "size": 6, "moves": 3, "solution": ["E<1", "Cv3", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBCoDooBCoDAAoCoDoEEEoooooooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Cv3,A>2\n"]}} {"board": "BoAACoBooDCooooDCoooEEEFGGGoHFooooHF", "size": 6, "moves": 3, "solution": ["E<1", "Cv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoAACoBooDCooooDCoooEEEFGGGoHFooooHF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Cv1,A>2\n"]}} {"board": "ooBCooDoBCooDoBCooDoAAEFGGooEFoooooF", "size": 6, "moves": 3, "solution": ["E^2", "F^3", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBCooDoBCooDoBCooDoAAEFGGooEFoooooF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^2,F^3,A>2\n"]}} {"board": "AABCoooDBCoooDBCooooooEEooooFoooGGFo", "size": 6, "moves": 3, "solution": ["Bv1", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AABCoooDBCoooDBCooooooEEooooFoooGGFo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>4\n"]}} {"board": "oooooooooBBBooooCDooooCDAAooCDoooooo", "size": 6, "moves": 4, "solution": ["B<2", "C^1", "D^1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBBBooooCDooooCDAAooCDoooooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,C^1,D^1,A>4\n"]}} {"board": "oooBBBAAooCoDDooCoEoooCoEooFFFEooGGG", "size": 6, "moves": 3, "solution": ["F<2", "Cv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBAAooCoDDooCoEoooCoEooFFFEooGGG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<2,Cv1,A>4\n"]}} {"board": "BooCCCBoooDoooAADooEEoDooooFFFoooGGG", "size": 6, "moves": 4, "solution": ["F<2", "G<2", "Dv2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BooCCCBoooDoooAADooEEoDooooFFFoooGGG\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<2,G<2,Dv2,A>2\n"]}} {"board": "oooooBoooooBooooooooCoooAACoDoooCoDo", "size": 6, "moves": 3, "solution": ["C^2", "D^2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoooooBooooooooCoooAACoDoooCoDo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,D^2,A>4\n"]}} {"board": "ooBooCAABooCoooDoCoooDoooooDoooooEEE", "size": 6, "moves": 3, "solution": ["Bv2", "Bv2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBooCAABooCoooDoCoooDoooooDoooooEEE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,Bv2,A>4\n"]}} {"board": "oooBBBoooCCCDDDEoooFoEGHoFAAGHoFooGo", "size": 6, "moves": 4, "solution": ["C<2", "G^2", "H^1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBoooCCCDDDEoooFoEGHoFAAGHoFooGo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,G^2,H^1,A>2\n"]}} {"board": "oooooBoCoAABoCoooBoCooooooooDDoooooo", "size": 6, "moves": 3, "solution": ["D<1", "Bv2", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoCoAABoCoooBoCooooooooDDoooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv2,A>1\n"]}} {"board": "oooooBoooooBAAoooBCoooooCooDEECFFDoo", "size": 6, "moves": 4, "solution": ["D^4", "E<1", "Cv3", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoooooBAAoooBCoooooCooDEECFFDoo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^4,E<1,Cv3,A>4\n"]}} {"board": "BBBoCDoAAoCDEEEooDooooFFGHHHooGIIoJJ", "size": 6, "moves": 4, "solution": ["F<2", "Cv2", "Cv2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBoCDoAAoCDEEEooDooooFFGHHHooGIIoJJ\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<2,Cv2,Cv2,A>3\n"]}} {"board": "BAACooBooCooBooCoooDDDEEFooGGGFooooo", "size": 6, "moves": 3, "solution": ["D<1", "Cv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BAACooBooCooBooCoooDDDEEFooGGGFooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Cv1,A>3\n"]}} {"board": "oooooooooooooooooooBBBooAACoooooCDDD", "size": 6, "moves": 3, "solution": ["B>2", "C^2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooooooooooBBBooAACoooooCDDD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB>2,C^2,A>4\n"]}} {"board": "BooooCBooAACBooooCoooooooooDEEoooDoo", "size": 6, "moves": 4, "solution": ["D^2", "E<1", "Cv2", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BooooCBooAACBooooCoooooooooDEEoooDoo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,E<1,Cv2,A>1\n"]}} {"board": "AAoBoooooBoCoooDDCoooooCEFFFooEooooo", "size": 6, "moves": 3, "solution": ["D<2", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoBoooooBoCoooDDCoooooCEFFFooEooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<2,Bv1,A>4\n"]}} {"board": "AAooBCDDDoBCooEEECoFoGGooFooHHoFoooo", "size": 6, "moves": 4, "solution": ["Cv1", "E<1", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAooBCDDDoBCooEEECoFoGGooFooHHoFoooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,E<1,Bv1,A>4\n"]}} {"board": "oBAACooBDDCoEooFFFEGoHIIEGoHJKoGoHJK", "size": 6, "moves": 3, "solution": ["F<2", "Cv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBAACooBDDCoEooFFFEGoHIIEGoHJKoGoHJK\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<2,Cv1,A>2\n"]}} {"board": "BBBCCCoooooooAADEoFFGDEHooGDoHIIGooo", "size": 6, "moves": 3, "solution": ["Dv1", "Dv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBCCCoooooooAADEoFFGDEHooGDoHIIGooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,Dv1,A>3\n"]}} {"board": "AAooBoooooBoooooCCDoooooDEooFooEooFo", "size": 6, "moves": 3, "solution": ["C<2", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAooBoooooBoooooCCDoooooDEooFooEooFo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,Bv1,A>4\n"]}} {"board": "oBoCCCoBAAoDoEEooDFooGGGFooHHHFIIJJJ", "size": 6, "moves": 3, "solution": ["G<1", "Dv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoCCCoBAAoDoEEooDFooGGGFooHHHFIIJJJ\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,Dv1,A>2\n"]}} {"board": "oooooooooooooooBBBoCCCDoooAADoooooDo", "size": 6, "moves": 3, "solution": ["B<2", "D^2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooooooBBBoCCCDoooAADoooooDo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,D^2,A>2\n"]}} {"board": "ooBBBoooooooooooooooCDooooCDooAACDoo", "size": 6, "moves": 3, "solution": ["C^1", "D^1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBoooooooooooooooCDooooCDooAACDoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^1,A>4\n"]}} {"board": "oBooCDoBooCDoAAoEDooFFEoooooEoGGHHoo", "size": 6, "moves": 3, "solution": ["Dv3", "Dv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBooCDoBooCDoAAoEDooFFEoooooEoGGHHoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv3,Dv1,A>3\n"]}} {"board": "ooooooBoooooBooooCoAADoCoooDoCoooEEE", "size": 6, "moves": 3, "solution": ["C^2", "D^2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooBoooooBooooCoAADoCoooDoCoooEEE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,D^2,A>3\n"]}} {"board": "ooooooooooBooAAoBooCCoBDEooFFDEooooD", "size": 6, "moves": 3, "solution": ["F<1", "Bv2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooBooAAoBooCCoBDEooFFDEooooD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Bv2,A>3\n"]}} {"board": "ooooooBoooooBooCCCoAAooDoEFGGDoEFooD", "size": 6, "moves": 3, "solution": ["C<1", "D^3", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooBoooooBooCCCoAAooDoEFGGDoEFooD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,D^3,A>3\n"]}} {"board": "BoooooBoCCCooooooooooDooAAoDoooooDoo", "size": 6, "moves": 4, "solution": ["Bv2", "B<2", "D^2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoooooBoCCCooooooooooDooAAoDoooooDoo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,B<2,D^2,A>4\n"]}} {"board": "ooBoooooBoooAABooooCCCoooooooooooooo", "size": 6, "moves": 3, "solution": ["C>2", "Bv3", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoooooBoooAABooooCCCoooooooooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC>2,Bv3,A>4\n"]}} {"board": "BBBooooCCCoDAAoooDEEEooDoooFoooooFGG", "size": 6, "moves": 4, "solution": ["F^1", "G<1", "Dv2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBooooCCCoDAAoooDEEEooDoooFoooooFGG\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,G<1,Dv2,A>4\n"]}} {"board": "oBoooCoBoooCoBooDoAAoEDooooEFFoooGGG", "size": 6, "moves": 3, "solution": ["D^1", "E^2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoooCoBoooCoBooDoAAoEDooooEFFoooGGG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E^2,A>4\n"]}} {"board": "oooooooAAoBoooCCBoooooBoooooDDoEEooo", "size": 6, "moves": 3, "solution": ["D<2", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooAAoBoooCCBoooooBoooooDDoEEooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<2,Bv1,A>3\n"]}} {"board": "AABoCoooBDCooEBDCoFEoDooFoGGoHFIIIoH", "size": 6, "moves": 3, "solution": ["Bv1", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AABoCoooBDCooEBDCoFEoDooFoGGoHFIIIoH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>4\n"]}} {"board": "ooBBBoAAoCoooooCoooooCooooDDooEEFFFo", "size": 6, "moves": 3, "solution": ["D<1", "Cv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBoAAoCoooooCoooooCooooDDooEEFFFo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Cv1,A>4\n"]}} {"board": "BoCoooBoCoooooCooooooDEooAADEooooDEo", "size": 6, "moves": 3, "solution": ["D^2", "E^2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoCoooBoCoooooCooooooDEooAADEooooDEo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,E^2,A>3\n"]}} {"board": "ooBoooAABoooooBoCooDDECFoooECFoooEoF", "size": 6, "moves": 3, "solution": ["D<1", "Bv2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoooAABoooooBoCooDDECFoooECFoooEoF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv2,A>4\n"]}} {"board": "ooAAoBCCCDDBEoooFFEGHIooEGHIJJoGoIoo", "size": 6, "moves": 3, "solution": ["F<1", "Bv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAAoBCCCDDBEoooFFEGHIooEGHIJJoGoIoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Bv1,A>2\n"]}} {"board": "ooBCDoAABCDoooBoDooooooooooooooooooo", "size": 6, "moves": 4, "solution": ["Bv2", "Bv2", "Bv2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBCDoAABCDoooBoDooooooooooooooooooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,Bv2,Bv2,A>4\n"]}} {"board": "BoooooBCoooooCAADooCEEDoFoooDoFoooGG", "size": 6, "moves": 3, "solution": ["G<2", "Dv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoooooBCoooooCAADooCEEDoFoooDoFoooGG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<2,Dv1,A>2\n"]}} {"board": "ooooBoAAooBoooooBooooooCoooDDCoooooC", "size": 6, "moves": 3, "solution": ["D<1", "Bv2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoAAooBoooooBooooooCoooDDCoooooC\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv2,A>4\n"]}} {"board": "BCCCoDBooooDoooAADEEoFFFoooooooooooo", "size": 6, "moves": 3, "solution": ["F<1", "Dv3", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BCCCoDBooooDoooAADEEoFFFoooooooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Dv3,A>1\n"]}} {"board": "ooooooooBBBoooooooooCoDoAACoDoEEEoDo", "size": 6, "moves": 4, "solution": ["B<1", "C^1", "D^2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooBBBoooooooooCoDoAACoDoEEEoDo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,C^1,D^2,A>4\n"]}} {"board": "oooooBoooCoBAAoCoBoDoooooDooooEEoooo", "size": 6, "moves": 3, "solution": ["Bv3", "B^1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoooCoBAAoCoBoDoooooDooooEEoooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv3,B^1,A>4\n"]}} {"board": "ooAABoooooBooooCCCoDDDEooFFoEGooHHEG", "size": 6, "moves": 3, "solution": ["C<2", "Bv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAABoooooBooooCCCoDDDEooFFoEGooHHEG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,Bv1,A>2\n"]}} {"board": "oAAoBCoooDBCoEoDBFoEoDoFGHHooFGooooo", "size": 6, "moves": 4, "solution": ["Bv1", "Fv1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAoBCoooDBCoEoDBFoEoDoFGHHooFGooooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Fv1,Bv1,A>3\n"]}} {"board": "oooBoooooBoooooBooooCooDooCEoDAAoEoD", "size": 6, "moves": 3, "solution": ["D^1", "E^1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoooooBoooooBooooCooDooCEoDAAoEoD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E^1,A>4\n"]}} {"board": "AABoooCCBoooooBDDDEEEoooFoooooFooGGG", "size": 6, "moves": 3, "solution": ["E>3", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AABoooCCBoooooBDDDEEEoooFoooooFooGGG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE>3,Bv1,A>4\n"]}} {"board": "oooooooooooBoooooBAACooBooCDooooCDoo", "size": 6, "moves": 3, "solution": ["B^1", "C^3", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooBoooooBAACooBooCDooooCDoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,C^3,A>4\n"]}} {"board": "BoooCoBoAACDBooooDoEoooooEoooooooooo", "size": 6, "moves": 3, "solution": ["Cv2", "Cv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoooCoBoAACDBooooDoEoooooEoooooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,Cv1,A>2\n"]}} {"board": "ooAAoBoCCDDBoooEEEoFoGGooFoHHHooIIIo", "size": 6, "moves": 3, "solution": ["E<1", "Bv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAAoBoCCDDBoooEEEoFoGGooFoHHHooIIIo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv1,A>2\n"]}} {"board": "oBBBooooCoooAACoooooooDooEEoDooooooo", "size": 6, "moves": 3, "solution": ["B>2", "C^1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBooooCoooAACoooooooDooEEoDooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB>2,C^1,A>4\n"]}} {"board": "oooBoooooBooAAoBooooCCCooDDDoEoooooE", "size": 6, "moves": 4, "solution": ["C<2", "D<1", "Bv3", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoooooBooAAoBooooCCCooDDDoEoooooE\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,D<1,Bv3,A>4\n"]}} {"board": "oooooooBCCCoDBoEEEDBFoooooFAAGoooooG", "size": 6, "moves": 3, "solution": ["E<1", "G^2", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooBCCCoDBoEEEDBFoooooFAAGoooooG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,G^2,A>1\n"]}} {"board": "oooooooooBCooAABCooooBCoooDDoooooooo", "size": 6, "moves": 4, "solution": ["Cv2", "D<1", "Bv2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBCooAABCooooBCoooDDoooooooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,D<1,Bv2,A>3\n"]}} {"board": "ooooooAAoooBoCCCoBoooooBooooDDooooEE", "size": 6, "moves": 3, "solution": ["D<1", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooAAoooBoCCCoBoooooBooooDDooooEE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv1,A>4\n"]}} {"board": "ooooooooooooBooCCCBoAAoDBoEFoDooEFoD", "size": 6, "moves": 3, "solution": ["C<1", "D^3", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooooBooCCCBoAAoDBoEFoDooEFoD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,D^3,A>2\n"]}} {"board": "ooooooooooBoooooBCDooooCDAAoEoDoooEo", "size": 6, "moves": 3, "solution": ["B^1", "E^2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooBoooooBCDooooCDAAoEoDoooEo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,E^2,A>3\n"]}} {"board": "BoooCoBoooCDBAAoCDoEFFoDoEoooooEoooo", "size": 6, "moves": 3, "solution": ["Cv3", "Cv2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoooCoBoooCDBAAoCDoEFFoDoEoooooEoooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv3,Cv2,A>3\n"]}} {"board": "oAABoooooBCCDDDBEEoooFFFGHIJJJGHIKKK", "size": 6, "moves": 3, "solution": ["F<3", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAABoooooBCCDDDBEEoooFFFGHIJJJGHIKKK\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<3,Bv1,A>3\n"]}} {"board": "oooBBBoCCCoDEEEooDoAAooDoooooFoooooF", "size": 6, "moves": 3, "solution": ["B<1", "D^1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBoCCCoDEEEooDoAAooDoooooFoooooF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,D^1,A>3\n"]}} {"board": "ooooooooooooooBooCAABooCooBooCoooooo", "size": 6, "moves": 3, "solution": ["B^2", "C^2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooooooBooCAABooCooBooCoooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^2,C^2,A>4\n"]}} {"board": "oooBBBoooooooooCCCooooooooAADoooooDo", "size": 6, "moves": 3, "solution": ["C<2", "D^2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBoooooooooCCCooooooooAADoooooDo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,D^2,A>2\n"]}} {"board": "ooooBooAAoBoooooBooooCCCoDoooooDoooo", "size": 6, "moves": 3, "solution": ["C<2", "Bv2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBooAAoBoooooBooooCCCoDoooooDoooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,Bv2,A>3\n"]}} {"board": "oBoooooBCDoooBCDoooooEoooAAEooFFFooo", "size": 6, "moves": 3, "solution": ["D^1", "E^1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoooooBCDoooBCDoooooEoooAAEooFFFooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E^1,A>3\n"]}} {"board": "oAAooBoCCooBDEoFFFDEGHHHDEGoooooGIII", "size": 6, "moves": 3, "solution": ["F<1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAooBoCCooBDEoFFFDEGHHHDEGoooooGIII\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Bv1,A>3\n"]}} {"board": "ooBoooooBoCoooooCDooooCDooooEDAAooEo", "size": 6, "moves": 3, "solution": ["C^1", "E^1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoooooBoCoooooCDooooCDooooEDAAooEo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,E^1,A>4\n"]}} {"board": "oBBBCoDDDECooAAEoooooFGGoHHFIoJJJFIo", "size": 6, "moves": 3, "solution": ["B<1", "E^1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBCoDDDECooAAEoooooFGGoHHFIoJJJFIo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,E^1,A>3\n"]}} {"board": "oooooooBooooCBooooCooDooCAADEoooooEo", "size": 6, "moves": 3, "solution": ["D^1", "E^2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooBooooCBooooCooDooCAADEoooooEo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E^2,A>3\n"]}} {"board": "oooooooooBCooAABCooooBooooooooDDoooo", "size": 6, "moves": 3, "solution": ["Bv2", "B^1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBCooAABCooooBooooooooDDoooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,B^1,A>3\n"]}} {"board": "oooooBoooooBCooooDCoooEDCoFoEoAAFoEo", "size": 6, "moves": 3, "solution": ["E^1", "F^1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoooooBCooooDCoooEDCoFoEoAAFoEo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,F^1,A>4\n"]}} {"board": "ooooooooooooooooooAABoCoooBoCooooooo", "size": 6, "moves": 3, "solution": ["B^2", "C^2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooooooooooAABoCoooBoCooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^2,C^2,A>4\n"]}} {"board": "BBBCCCoooDDDoEEEoooooFoooAAFoooooFoo", "size": 6, "moves": 4, "solution": ["D<3", "E<1", "F^2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBCCCoooDDDoEEEoooooFoooAAFoooooFoo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<3,E<1,F^2,A>3\n"]}} {"board": "ooooooooooooooooooooooBCAAooBCoooooC", "size": 6, "moves": 3, "solution": ["B^1", "C^2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooooooooooooooBCAAooBCoooooC\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,C^2,A>4\n"]}} {"board": "oBBBoCAAoooCDooooEDooFoEDooFooGGooHH", "size": 6, "moves": 4, "solution": ["H<1", "Ev2", "Cv2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBoCAAoooCDooooEDooFoEDooFooGGooHH\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nH<1,Ev2,Cv2,A>4\n"]}} {"board": "oBoooooBoAACoBoooCoooooCoooDDDoooooo", "size": 6, "moves": 3, "solution": ["D<1", "Cv1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoooooBoAACoBoooCoooooCoooDDDoooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Cv1,A>1\n"]}} {"board": "ooBooCoDBooCEDBFFFEooAAGHHoIIGoooJJJ", "size": 6, "moves": 3, "solution": ["J<1", "Gv1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBooCoDBooCEDBFFFEooAAGHHoIIGoooJJJ\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nJ<1,Gv1,A>1\n"]}} {"board": "oooooooooBBBAAoCoooDDCoooEEEoooooooo", "size": 6, "moves": 3, "solution": ["B<3", "C^2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBBBAAoCoooDDCoooEEEoooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<3,C^2,A>4\n"]}} {"board": "ooooBoCAAoBDCEEoBDCooooDoooFFooGGGoo", "size": 6, "moves": 4, "solution": ["Dv1", "F<1", "Bv2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoCAAoBDCEEoBDCooooDoooFFooGGGoo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,F<1,Bv2,A>3\n"]}} {"board": "BooooCBDoAACoDEooCoDEFFFooGGGoHHHIIo", "size": 6, "moves": 4, "solution": ["E^1", "F<1", "Cv2", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BooooCBDoAACoDEooCoDEFFFooGGGoHHHIIo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,F<1,Cv2,A>1\n"]}} {"board": "ooAABooCCCBooDEoBFoDEoGFooooGooooHHH", "size": 6, "moves": 4, "solution": ["H<2", "Gv1", "Bv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAABooCCCBooDEoBFoDEoGFooooGooooHHH\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nH<2,Gv1,Bv1,A>2\n"]}} {"board": "BBBooCDDDooCoooooCAAEoFooGEoFHoGIIoH", "size": 6, "moves": 4, "solution": ["F^2", "I>1", "Fv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBooCDDDooCoooooCAAEoFooGEoFHoGIIoH\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^2,I>1,Fv1,A>4\n"]}} {"board": "ooBBBooooooooooCCCoDDDoEooAAoEFFFooE", "size": 6, "moves": 3, "solution": ["C<1", "E^2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBooooooooooCCCoDDDoEooAAoEFFFooE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,E^2,A>2\n"]}} {"board": "ooooBoAAooBooCDDBooCoEEooCFoooooFooo", "size": 6, "moves": 3, "solution": ["E<1", "Bv2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoAAooBooCDDBooCoEEooCFoooooFooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv2,A>4\n"]}} {"board": "oooBooAAoBCooooBCoooooCooooDDDooEEEo", "size": 6, "moves": 4, "solution": ["D<3", "Bv2", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBooAAoBCooooBCoooooCooooDDDooEEEo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<3,Bv2,Bv1,A>4\n"]}} {"board": "oooooooooooooooBBBoooCooAAoCoDoooCoD", "size": 6, "moves": 4, "solution": ["B<3", "C^2", "D^2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooooooBBBoooCooAAoCoDoooCoD\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<3,C^2,D^2,A>4\n"]}} {"board": "oooBBBooooCoDoAACoDEoFFFoEooGooEooGo", "size": 6, "moves": 3, "solution": ["B<2", "C^1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBooooCoDoAACoDEoFFFoEooGooEooGo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,C^1,A>2\n"]}} {"board": "ooAABooCCCBoooDEBoFoDEGoFooEGoFooHHH", "size": 6, "moves": 4, "solution": ["H<2", "Gv1", "Bv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAABooCCCBoooDEBoFoDEGoFooEGoFooHHH\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nH<2,Gv1,Bv1,A>2\n"]}} {"board": "ooooooooooBooooCBooAACBDoEoCoDoEoooD", "size": 6, "moves": 4, "solution": ["B^1", "C^2", "D^3", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooBooooCBooAACBDoEoCoDoEoooD\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,C^2,D^3,A>3\n"]}} {"board": "oooooBoooooBoAAooBoCoDDDoCoooooCoooo", "size": 6, "moves": 3, "solution": ["D<1", "Bv3", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoooooBoAAooBoCoDDDoCoooooCoooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv3,A>3\n"]}} {"board": "ooAAoBoCCCoBoooooBooooDDoEEFFoooGGGo", "size": 6, "moves": 3, "solution": ["D<1", "Bv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAAoBoCCCoBoooooBooooDDoEEFFoooGGGo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv1,A>2\n"]}} {"board": "oBoCCCDBooooDEFGGGDEFHHHIEoooJIoAAoJ", "size": 6, "moves": 4, "solution": ["F^1", "H<1", "J^1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoCCCDBooooDEFGGGDEFHHHIEoooJIoAAoJ\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,H<1,J^1,A>2\n"]}} {"board": "oooooooooooooooooooAABCooooBCoDDoBCo", "size": 6, "moves": 3, "solution": ["B^3", "C^3", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooooooooooAABCooooBCoDDoBCo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^3,C^3,A>3\n"]}} {"board": "BBBoooooooCDooooCDEooFFFEoGooHEoGAAH", "size": 6, "moves": 3, "solution": ["F<1", "H^1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBoooooooCDooooCDEooFFFEoGooHEoGAAH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,H^1,A>1\n"]}} {"board": "BBBooooooooooooCCCoooDoEoAADoEoooDoE", "size": 6, "moves": 4, "solution": ["C<3", "D^2", "E^2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBooooooooooooCCCoooDoEoAADoEoooDoE\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<3,D^2,E^2,A>3\n"]}} {"board": "AABoCoooBoCoDDooEoooFoEGooFooGoooooG", "size": 6, "moves": 4, "solution": ["Bv1", "Ev1", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AABoCoooBoCoDDooEoooFoEGooFooGoooooG\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Ev1,Bv1,A>4\n"]}} {"board": "BBBCCCDoEFFFDoEAAGoHHHoGIIJoKKooJooo", "size": 6, "moves": 3, "solution": ["K<1", "Gv1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBCCCDoEFFFDoEAAGoHHHoGIIJoKKooJooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nK<1,Gv1,A>1\n"]}} {"board": "AAoBooCooBooCooBooCoDEEoooDFFFooDooo", "size": 6, "moves": 3, "solution": ["E>1", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoBooCooBooCooBooCoDEEoooDFFFooDooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE>1,Bv1,A>4\n"]}} {"board": "oooooooooooooooooooooooBAAoCoBoooCoB", "size": 6, "moves": 3, "solution": ["B^2", "C^2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooooooooooooooBAAoCoBoooCoB\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^2,C^2,A>4\n"]}} {"board": "oooooooooooBoooooBoooooCoDDDoCooAAoC", "size": 6, "moves": 3, "solution": ["B^1", "C^1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooBoooooBoooooCoDDDoCooAAoC\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,C^1,A>2\n"]}} {"board": "ooooooooooooooooooooBoCoooBoCDAABoCD", "size": 6, "moves": 4, "solution": ["B^1", "C^1", "D^1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooooooooooooBoCoooBoCDAABoCD\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,C^1,D^1,A>4\n"]}} {"board": "ooAABooCCCBooDooEEFDoGGoFDHHIIFooJJJ", "size": 6, "moves": 3, "solution": ["E<2", "Bv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAABooCCCBooDooEEFDoGGoFDHHIIFooJJJ\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<2,Bv1,A>2\n"]}} {"board": "BoAAoCBDDDoCEooooFEooGoFEHoGIFoHJJIo", "size": 6, "moves": 3, "solution": ["Fv1", "Cv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoAAoCBDDDoCEooooFEooGoFEHoGIFoHJJIo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nFv1,Cv1,A>2\n"]}} {"board": "BooCCCBooAADBoEooDFFEooGooEHHGooIIIo", "size": 6, "moves": 3, "solution": ["Gv1", "Dv1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BooCCCBooAADBoEooDFFEooGooEHHGooIIIo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nGv1,Dv1,A>1\n"]}} {"board": "ooAAoBoCoDDBoCooEEoCoFGoHHoFGIoooFGI", "size": 6, "moves": 3, "solution": ["E<1", "Bv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAAoBoCoDDBoCooEEoCoFGoHHoFGIoooFGI\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv1,A>2\n"]}} {"board": "oAAoBoCCDDBoooooEoooooEooooFFooooooo", "size": 6, "moves": 4, "solution": ["F<1", "Ev1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAoBoCCDDBoooooEoooooEooooFFooooooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Ev1,Bv1,A>3\n"]}} {"board": "AAoooBooCooBooCDDBEEoFFFoGGGoHIIIooH", "size": 6, "moves": 3, "solution": ["F<1", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoooBooCooBooCDDBEEoFFFoGGGoHIIIooH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Bv1,A>4\n"]}} {"board": "ooooooooBoCoooBoCoAABoCooooDoooooDoo", "size": 6, "moves": 3, "solution": ["B^1", "C^1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooBoCoooBoCoAABoCooooDoooooDoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,C^1,A>4\n"]}} {"board": "oooBBBoCCCoooooDDDEoAAFoEoooFGEoooFG", "size": 6, "moves": 4, "solution": ["B<2", "D<2", "F^3", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBoCCCoooooDDDEoAAFoEoooFGEoooFG\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,D<2,F^3,A>2\n"]}} {"board": "oAAoBoooooBoooooCCoooooooDDoEooFFFEo", "size": 6, "moves": 3, "solution": ["C<2", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAoBoooooBoooooCCoooooooDDoEooFFFEo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,Bv1,A>3\n"]}} {"board": "oBBBooooooooooCoooooCoDEooooDEoAAoDE", "size": 6, "moves": 3, "solution": ["D^1", "E^1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBooooooooooCoooooCoDEooooDEoAAoDE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E^1,A>3\n"]}} {"board": "oAABoooooBoooooBooooCCDooEooDooEoooo", "size": 6, "moves": 3, "solution": ["C<1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAABoooooBoooooBooooCCDooEooDooEoooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,Bv1,A>3\n"]}} {"board": "AAoBCooooBCoooooCooooooooDDooooooooo", "size": 6, "moves": 3, "solution": ["Bv1", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoBCooooBCoooooCooooooooDDooooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>4\n"]}} {"board": "AAoBoooooBooooCCoooooooooooDDooooEEE", "size": 6, "moves": 3, "solution": ["C<1", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoBoooooBooooCCoooooooooooDDooooEEE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,Bv1,A>4\n"]}} {"board": "ooooooBAAoCoBoDDCoBoooCooooEEooooooo", "size": 6, "moves": 3, "solution": ["E<1", "Cv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooBAAoCoBoDDCoBoooCooooEEooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Cv1,A>3\n"]}} {"board": "oooooooooooooooBoooooBoooAACoooooCoo", "size": 6, "moves": 3, "solution": ["B^2", "C^2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooooooBoooooBoooAACoooooCoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^2,C^2,A>3\n"]}} {"board": "BCoDDDBCoEEEBAAFGoHHoFGIoooJJIooKKKI", "size": 6, "moves": 4, "solution": ["J<2", "Fv1", "Fv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BCoDDDBCoEEEBAAFGoHHoFGIoooJJIooKKKI\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nJ<2,Fv1,Fv1,A>3\n"]}} {"board": "AAooBoooCoBoDECoBoDEooFFDGoHHHoGoooo", "size": 6, "moves": 3, "solution": ["F<2", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAooBoooCoBoDECoBoDEooFFDGoHHHoGoooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<2,Bv1,A>4\n"]}} {"board": "ooooooooooooooooooooAABCDDDEBCoooEoo", "size": 6, "moves": 3, "solution": ["B^2", "C^2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooooooooooooAABCDDDEBCoooEoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^2,C^2,A>2\n"]}} {"board": "ooAAoBoCCCoBoooDDDoEFoGGoEFoHHoEFooo", "size": 6, "moves": 3, "solution": ["D<1", "Bv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAAoBoCCCoBoooDDDoEFoGGoEFoHHoEFooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv1,A>2\n"]}} {"board": "oooooooooBBBoooCCCDooooEDAAooEDooooo", "size": 6, "moves": 3, "solution": ["C<1", "E^1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBBBoooCCCDooooEDAAooEDooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,E^1,A>3\n"]}} {"board": "AAooBoooooBoooooBoooooCCooooDDooEEFF", "size": 6, "moves": 3, "solution": ["C<2", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAooBoooooBoooooBoooooCCooooDDooEEFF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,Bv1,A>4\n"]}} {"board": "AAooBoooooBoCoooBoCooDDoEEEooooooooo", "size": 6, "moves": 3, "solution": ["D<1", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAooBoooooBoCoooBoCooDDoEEEooooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv1,A>4\n"]}} {"board": "oooooBoAAoCBooooCoDoooooDoooooDooEEo", "size": 6, "moves": 3, "solution": ["Bv2", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoAAoCBooooCoDoooooDoooooDooEEo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,Bv1,A>3\n"]}} {"board": "ooooooooooBCoAAoBCoooooooooooooDDDoo", "size": 6, "moves": 3, "solution": ["B^1", "C^1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooBCoAAoBCoooooooooooooDDDoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,C^1,A>3\n"]}} {"board": "ooooooooooBoooAABoooooBoooooCCoooooo", "size": 6, "moves": 3, "solution": ["C<2", "Bv2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooBoooAABoooooBoooooCCoooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,Bv2,A>2\n"]}} {"board": "oBBBoooooCooAAoCooDDDoEEFGHHooFGooII", "size": 6, "moves": 3, "solution": ["B<1", "C^1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBoooooCooAAoCooDDDoEEFGHHooFGooII\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,C^1,A>4\n"]}} {"board": "oooooooooooooooBBBoCoooDoCoooDoCoAAD", "size": 6, "moves": 3, "solution": ["B<1", "D^1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooooooBBBoCoooDoCoooDoCoAAD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,D^1,A>1\n"]}} {"board": "ooooBoooAABooooCCooooooDoEEooDoooooo", "size": 6, "moves": 3, "solution": ["C<1", "Bv2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoooAABooooCCooooooDoEEooDoooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,Bv2,A>2\n"]}} {"board": "oooBBBoCCCoDoEoAADFEoGGGFEooHHFIIJJJ", "size": 6, "moves": 3, "solution": ["B<1", "D^1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBoCCCoDoEoAADFEoGGGFEooHHFIIJJJ\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,D^1,A>1\n"]}} {"board": "oooooooooAABoooooBoooooBoooCCCoooDDo", "size": 6, "moves": 3, "solution": ["C<1", "Bv1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooAABoooooBoooooBoooCCCoooDDo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,Bv1,A>1\n"]}} {"board": "oooBoooCoBoooCoAADoEEEoDoFoooDoFooGG", "size": 6, "moves": 3, "solution": ["G<1", "Dv1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoooCoBoooCoAADoEEEoDoFoooDoFooGG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,Dv1,A>1\n"]}} {"board": "AAoBCooDoBCooDEoCFoDEooFGGoHHHooIIIo", "size": 6, "moves": 3, "solution": ["Bv1", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoBCooDoBCooDEoCFoDEooFGGoHHHooIIIo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>4\n"]}} {"board": "ooooooooBBBCooDooCAADooCoooooooooEEE", "size": 6, "moves": 3, "solution": ["C^1", "Dv2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooBBBCooDooCAADooCoooooooooEEE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,Dv2,A>4\n"]}} {"board": "ooooooooooBoooooBoooCooDAACooDooCooo", "size": 6, "moves": 3, "solution": ["C^2", "D^1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooBoooooBoooCooDAACooDooCooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,D^1,A>4\n"]}} {"board": "oooBoooAABoooooBCCoooooooooDDDoooooo", "size": 6, "moves": 3, "solution": ["D<3", "Bv2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoooAABoooooBCCoooooooooDDDoooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<3,Bv2,A>3\n"]}} {"board": "BoAAoCBDDooCoooEEEFFFGHIJKoGHIJKoGoI", "size": 6, "moves": 3, "solution": ["E<1", "Cv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoAAoCBDDooCoooEEEFFFGHIJKoGHIJKoGoI\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Cv1,A>2\n"]}} {"board": "ooooooooooooBooCCCBooooDBEoooDoEAAoD", "size": 6, "moves": 3, "solution": ["C<1", "D^1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooooBooCCCBooooDBEoooDoEAAoD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,D^1,A>2\n"]}} {"board": "oooooBoooAABooooCCoDoooooDoooooDooEE", "size": 6, "moves": 3, "solution": ["C<1", "Bv2", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoooAABooooCCoDoooooDoooooDooEE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,Bv2,A>1\n"]}} {"board": "ooooBoooooBooooooooooCCCoooooDoooAAD", "size": 6, "moves": 3, "solution": ["C<1", "D^1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoooooBooooooooooCCCoooooDoooAAD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,D^1,A>1\n"]}} {"board": "oooooooooooBoAAooBoooooBoooCCCoDDooo", "size": 6, "moves": 3, "solution": ["C<1", "Bv2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooBoAAooBoooooBoooCCCoDDooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,Bv2,A>3\n"]}} {"board": "BBBCCCAAooDoEoooDoEFFoDooooGGGooHHHo", "size": 6, "moves": 3, "solution": ["G<2", "Dv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBCCCAAooDoEoooDoEFFoDooooGGGooHHHo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<2,Dv1,A>4\n"]}} {"board": "oAAooBCCoooBoooooBooooDDoEooFooEooFo", "size": 6, "moves": 3, "solution": ["D<1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAooBCCoooBoooooBooooDDoEooFooEooFo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv1,A>3\n"]}} {"board": "oooBoooooBoooCoBoDoCAAEDFFGoEDooGoEo", "size": 6, "moves": 3, "solution": ["D^2", "E^3", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoooooBoooCoBoDoCAAEDFFGoEDooGoEo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,E^3,A>2\n"]}} {"board": "BBBoCoooAACoooooCooDoooooDEFFooDEooo", "size": 6, "moves": 4, "solution": ["E^2", "F<1", "Cv2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBoCoooAACoooooCooDoooooDEFFooDEooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^2,F<1,Cv2,A>2\n"]}} {"board": "BBBoCoDoooCoDEEECFDAAoGFoHHHGFoooIIo", "size": 6, "moves": 4, "solution": ["F^2", "I<1", "Gv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBoCoDoooCoDEEECFDAAoGFoHHHGFoooIIo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^2,I<1,Gv1,A>3\n"]}} {"board": "oooooBooCooBooCooDoECAADoEooooFFooGG", "size": 6, "moves": 3, "solution": ["G<1", "Dv2", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBooCooBooCooDoECAADoEooooFFooGG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,Dv2,A>1\n"]}} {"board": "oooooooooBBBoooooCAADooCooDEECFFoGGG", "size": 6, "moves": 4, "solution": ["B<1", "C^2", "Dv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBBBoooooCAADooCooDEECFFoGGG\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,C^2,Dv1,A>4\n"]}} {"board": "ooBBBCDAAooCDEoFFFGEHoooGoHIJJGoHIoo", "size": 6, "moves": 3, "solution": ["F<1", "Cv2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBCDAAooCDEoFFFGEHoooGoHIJJGoHIoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Cv2,A>3\n"]}} {"board": "oooooBCooAABCoDDDBCEEEooooooFFoooooo", "size": 6, "moves": 3, "solution": ["F<1", "Bv2", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBCooAABCoDDDBCEEEooooooFFoooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Bv2,A>1\n"]}} {"board": "ooBBBCoooooCooDoooAADoooooDEEEoFFooo", "size": 6, "moves": 4, "solution": ["Cv1", "B>1", "D^2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBCoooooCooDoooAADoooooDEEEoFFooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,B>1,D^2,A>4\n"]}} {"board": "BBBooooooooooooooCAAoDoCoEoDoCoEoDoo", "size": 6, "moves": 3, "solution": ["C^2", "D^3", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBooooooooooooooCAAoDoCoEoDoCoEoDoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,D^3,A>4\n"]}} {"board": "oBoooooBooooCBoDooCooDoooAADEooFFFEo", "size": 6, "moves": 3, "solution": ["D^1", "E^2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoooooBooooCBoDooCooDoooAADEooFFFEo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E^2,A>3\n"]}} {"board": "ooBCCCAABooooooDDDEFFGGGEooHIIoooHoo", "size": 6, "moves": 4, "solution": ["Ev1", "E<1", "Bv2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBCCCAABooooooDDDEFFGGGEooHIIoooHoo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,E<1,Bv2,A>4\n"]}} {"board": "ooBCCCooBDDDooBooEooAAoEoFGoHHoFGooo", "size": 6, "moves": 3, "solution": ["H<1", "Ev2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBCCCooBDDDooBooEooAAoEoFGoHHoFGooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nH<1,Ev2,A>2\n"]}} {"board": "ooBBBoCoooooCoooDooAAoDEoFFooEoGGGoo", "size": 6, "moves": 3, "solution": ["D^1", "E^2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBoCoooooCoooDooAAoDEoFFooEoGGGoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E^2,A>3\n"]}} {"board": "oAAooBoooooBCCCooBDooEEEDoooFFDooooo", "size": 6, "moves": 3, "solution": ["E<1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAooBoooooBCCCooBDooEEEDoooFFDooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv1,A>3\n"]}} {"board": "oooooooooooooooBBBooooooooAAoCDDDooC", "size": 6, "moves": 3, "solution": ["B<1", "C^2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooooooBBBooooooooAAoCDDDooC\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,C^2,A>2\n"]}} {"board": "oooBoooooBoooooCoooAACDooEooDooEooDo", "size": 6, "moves": 3, "solution": ["Cv2", "C^3", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoooooBoooooCoooAACDooEooDooEooDo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,C^3,A>3\n"]}} {"board": "ooooooooooBoAAoCBoDooCBoDooCooDooooo", "size": 6, "moves": 3, "solution": ["Bv2", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooBoAAoCBoDooCBoDooCooDooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,Bv1,A>4\n"]}} {"board": "ooooooBoooooBAACoooooCoooooCoooDDDoo", "size": 6, "moves": 3, "solution": ["D<1", "Cv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooBoooooBAACoooooCoooooCoooDDDoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Cv1,A>3\n"]}} {"board": "ooooooooooooooAABoCCooBoooDDBooooEEE", "size": 6, "moves": 3, "solution": ["E<2", "Bv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooooooAABoCCooBoooDDBooooEEE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<2,Bv1,A>2\n"]}} {"board": "ooooBoAAooBoooooBoCooDDDCoooooCoEEEo", "size": 6, "moves": 3, "solution": ["D<2", "Bv2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoAAooBoooooBoCooDDDCoooooCoEEEo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<2,Bv2,A>4\n"]}} {"board": "oBBBoooooAACoDDEoCoooEFFooooGGooooHH", "size": 6, "moves": 4, "solution": ["Ev2", "E<1", "Cv1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBoooooAACoDDEoCoooEFFooooGGooooHH\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv2,E<1,Cv1,A>1\n"]}} {"board": "oooooooooooooAAoBCooooBCoDEEoCoDoooo", "size": 6, "moves": 3, "solution": ["B^2", "Cv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooooAAoBCooooBCoDEEoCoDoooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^2,Cv1,A>3\n"]}} {"board": "oooooooooooooooBooAAoBCooooBCooooooo", "size": 6, "moves": 3, "solution": ["B^2", "C^2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooooooBooAAoBCooooBCooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^2,C^2,A>4\n"]}} {"board": "AAoBoooooBoooCCBoooooDDDoooooooooooo", "size": 6, "moves": 3, "solution": ["D<3", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoBoooooBoooCCBoooooDDDoooooooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<3,Bv1,A>4\n"]}} {"board": "oBooooCBoDDDCBooooCEEEoooFAAGHoFooGH", "size": 6, "moves": 3, "solution": ["G^2", "H^2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBooooCBoDDDCBooooCEEEoooFAAGHoFooGH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nG^2,H^2,A>2\n"]}} {"board": "ooooooooooBooAAoBCDDoooCEoFGGGEoFooo", "size": 6, "moves": 3, "solution": ["B^1", "C^2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooBooAAoBCDDoooCEoFGGGEoFooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,C^2,A>3\n"]}} {"board": "oooBBBoooCCCoDoooooDoAAEoDoooEooFFoE", "size": 6, "moves": 4, "solution": ["B<1", "C<1", "E^3", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBoooCCCoDoooooDoAAEoDoooEooFFoE\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,C<1,E^3,A>1\n"]}} {"board": "oooBBBCDDDoECooooECooAAEoFooGGoFoooo", "size": 6, "moves": 3, "solution": ["B<1", "E^1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBCDDDoECooooECooAAEoFooGGoFoooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,E^1,A>1\n"]}} {"board": "oooAABoooooBoooooCooDDoCooEooCooEooo", "size": 6, "moves": 3, "solution": ["Cv1", "Bv1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooAABoooooBoooooCooDDoCooEooCooEooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Bv1,A>1\n"]}} {"board": "ooooBoooooBoAAooBoCoooooCooDEECooDoo", "size": 6, "moves": 4, "solution": ["D^4", "E<2", "Cv3", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoooooBoAAooBoCoooooCooDEECooDoo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^4,E<2,Cv3,A>4\n"]}} {"board": "ooBooCAABooCooBoooooooooooooooooDDoo", "size": 6, "moves": 3, "solution": ["Bv2", "Bv2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBooCAABooCooBoooooooooooooooooDDoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,Bv2,A>4\n"]}} {"board": "ooAAoBoooooBooooCCDEoFoGDEoFoGDooFoG", "size": 6, "moves": 3, "solution": ["C<1", "Bv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAAoBoooooBooooCCDEoFoGDEoFoGDooFoG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,Bv1,A>2\n"]}} {"board": "ooooooooooooooooooAABCoDooBCoDooBCoD", "size": 6, "moves": 4, "solution": ["B^3", "C^3", "D^3", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooooooooooAABCoDooBCoDooBCoD\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^3,C^3,D^3,A>4\n"]}} {"board": "oBBBoooooCCCoDDDooEooAAFEGHooFoGHooF", "size": 6, "moves": 3, "solution": ["C<1", "F^3", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBoooooCCCoDDDooEooAAFEGHooFoGHooF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,F^3,A>1\n"]}} {"board": "oooooooAAoBoooooBooCoDDooCoEEEoCoooo", "size": 6, "moves": 3, "solution": ["D<1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooAAoBoooooBooCoDDooCoEEEoCoooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv1,A>3\n"]}} {"board": "oooBBBCoooooCoooooCAAoDoooooDoooooDo", "size": 6, "moves": 3, "solution": ["B<2", "D^3", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBCoooooCoooooCAAoDoooooDoooooDo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,D^3,A>3\n"]}} {"board": "ooooBoooAABooCooBooCooooDCoEEEDooooo", "size": 6, "moves": 4, "solution": ["C^1", "E<2", "Bv2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoooAABooCooBooCooooDCoEEEDooooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,E<2,Bv2,A>2\n"]}} {"board": "oooooooAABooooCBoooDCEooFDCEooFDoooo", "size": 6, "moves": 3, "solution": ["Ev1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooAABooooCBoooDCEooFDCEooFDoooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,Bv1,A>3\n"]}} {"board": "ooooooooooooooooBCDAAoBCDEEoooDooooo", "size": 6, "moves": 3, "solution": ["B^1", "C^1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooooooooBCDAAoBCDEEoooDooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,C^1,A>3\n"]}} {"board": "ooooooooooooooooooooBBBCoAADoCoooDoC", "size": 6, "moves": 4, "solution": ["B<2", "C^2", "D^2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooooooooooooBBBCoAADoCoooDoC\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,C^2,D^2,A>3\n"]}} {"board": "ooBBBooooooooooCCCoooAADoEoooDoEoooD", "size": 6, "moves": 3, "solution": ["C<1", "D^3", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBooooooooooCCCoooAADoEoooDoEoooD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,D^3,A>1\n"]}} {"board": "ooooBoCAAoBoCoooDDoEEEoFoGooHFoGooHF", "size": 6, "moves": 3, "solution": ["D<2", "Bv2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoCAAoBoCoooDDoEEEoFoGooHFoGooHF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<2,Bv2,A>3\n"]}} {"board": "ooooooooooBoCoAABoCoooBoCooDDooooooo", "size": 6, "moves": 3, "solution": ["D<1", "Bv2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooBoCoAABoCoooBoCooDDooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv2,A>2\n"]}} {"board": "AABCooooBCDDEFBCooEFooGGHFooooHooooo", "size": 6, "moves": 3, "solution": ["Bv1", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AABCooooBCDDEFBCooEFooGGHFooooHooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>4\n"]}} {"board": "oooooBoooooBooAACBooooCooooooooooooo", "size": 6, "moves": 3, "solution": ["Bv3", "B^2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoooooBooAACBooooCooooooooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv3,B^2,A>2\n"]}} {"board": "ooBoooooBCCCAABooooDDoooEEoFoooGGFoo", "size": 6, "moves": 4, "solution": ["D<1", "G<1", "Bv3", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoooooBCCCAABooooDDoooEEoFoooGGFoo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,G<1,Bv3,A>4\n"]}} {"board": "ooooooooooooBBBooooooCoooooCoDAAoCoD", "size": 6, "moves": 3, "solution": ["C^1", "D^1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooooBBBooooooCoooooCoDAAoCoD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^1,A>4\n"]}} {"board": "oooooBooAAoBoCCooBooooDDooEEEoooFFFo", "size": 6, "moves": 3, "solution": ["D<1", "Bv2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBooAAoBoCCooBooooDDooEEEoooFFFo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv2,A>2\n"]}} {"board": "oooBBBooCCCDAAoooDEoFFooEGGooHEoIIoH", "size": 6, "moves": 3, "solution": ["B<1", "D^1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBooCCCDAAoooDEoFFooEGGooHEoIIoH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,D^1,A>4\n"]}} {"board": "ooooooBoAAoCBDDooCooEoFFooEGGGooEoHH", "size": 6, "moves": 3, "solution": ["F<1", "Cv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooBoAAoCBDDooCooEoFFooEGGGooEoHH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Cv1,A>2\n"]}} {"board": "AAoooBooCooBDoCoEEDFFoGGDoHHHooooooo", "size": 6, "moves": 3, "solution": ["E<1", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoooBooCooBDoCoEEDFFoGGDoHHHooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv1,A>4\n"]}} {"board": "oBAACoDBooCoDBooEEooooooFFoooooGGooo", "size": 6, "moves": 3, "solution": ["E<2", "Cv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBAACoDBooCoDBooEEooooooFFoooooGGooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<2,Cv1,A>2\n"]}} {"board": "oooooBoooooBooooooooooCDooooCDooAACD", "size": 6, "moves": 3, "solution": ["C^1", "D^1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoooooBooooooooooCDooooCDooAACD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^1,A>2\n"]}} {"board": "AABoCDooBoCDoooEoooFFEGGHIIEJKHLLoJK", "size": 6, "moves": 4, "solution": ["Bv1", "Bv1", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AABoCDooBoCDoooEoooFFEGGHIIEJKHLLoJK\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,Bv1,A>4\n"]}} {"board": "oooooooooooBoooooBAAooCBooooCoooooCo", "size": 6, "moves": 3, "solution": ["B^1", "C^3", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooBoooooBAAooCBooooCoooooCo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,C^3,A>4\n"]}} {"board": "oBoooooBoooooooooooooCDooAACDEooooDE", "size": 6, "moves": 4, "solution": ["C^1", "D^2", "E^2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoooooBoooooooooooooCDooAACDEooooDE\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^2,E^2,A>3\n"]}} {"board": "oAABCooDDBCEFooBoEFGHooEoGHoIIJJHKKK", "size": 6, "moves": 3, "solution": ["Bv1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAABCooDDBCEFooBoEFGHooEoGHoIIJJHKKK\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>3\n"]}} {"board": "ooooooooooooooAABooCCCBoooDDBooooEEE", "size": 6, "moves": 3, "solution": ["E<2", "Bv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooooooAABooCCCBoooDDBooooEEE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<2,Bv1,A>2\n"]}} {"board": "ooBBBooooCoooooCooAAoCooooooDDooooEE", "size": 6, "moves": 3, "solution": ["B<2", "C^1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBooooCoooooCooAAoCooooooDDooooEE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,C^1,A>4\n"]}} {"board": "oBoCCCDBoAAEDBoFFEDGHooEoGHIIIoGHJJJ", "size": 6, "moves": 4, "solution": ["H^2", "I<1", "Fv1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoCCCDBoAAEDBoFFEDGHooEoGHIIIoGHJJJ\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nH^2,I<1,Fv1,A>1\n"]}} {"board": "oAABCooDDBCoEEoFCoooGFoHIIGFJHooooJo", "size": 6, "moves": 4, "solution": ["Cv1", "Fv1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAABCooDDBCoEEoFCoooGFoHIIGFJHooooJo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Fv1,Bv1,A>3\n"]}} {"board": "oBBBoCoDoooCEDoAACEDooooooooFFoooooo", "size": 6, "moves": 3, "solution": ["F<1", "Cv3", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBoCoDoooCEDoAACEDooooooooFFoooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Cv3,A>1\n"]}} {"board": "AAoBoooooBoooooBoooooCDooooCDoooooDo", "size": 6, "moves": 3, "solution": ["Cv1", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoBoooooBoooooBoooooCDooooCDoooooDo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Bv1,A>4\n"]}} {"board": "oooooooooBBBooCDooooCDoEooCoFEAAooFE", "size": 6, "moves": 3, "solution": ["E^1", "F^1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBBBooCDooooCDoEooCoFEAAooFE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,F^1,A>4\n"]}} {"board": "ooooooAAoBooooCBooooCBoooooDDDooEEEo", "size": 6, "moves": 3, "solution": ["D<3", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooAAoBooooCBooooCBoooooDDDooEEEo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<3,Bv1,A>4\n"]}} {"board": "oooooooAABCDoooBCDooEooDooEFFoooEGGo", "size": 6, "moves": 4, "solution": ["Bv1", "Bv1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooAABCDoooBCDooEooDooEFFoooEGGo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,Bv1,A>3\n"]}} {"board": "oooooooooBBBooooCoooAACoooDDDooooooo", "size": 6, "moves": 3, "solution": ["B<2", "C^1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBBBooooCoooAACoooDDDooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,C^1,A>2\n"]}} {"board": "ooooBoooooBoooooBoCAAoDoCoooDoCoooEE", "size": 6, "moves": 3, "solution": ["E<2", "Dv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoooooBoooooBoCAAoDoCoooDoCoooEE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<2,Dv1,A>3\n"]}} {"board": "BBBoooCoooooCooDooEAADFoEGoDFoEGooFo", "size": 6, "moves": 3, "solution": ["D^2", "F^3", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBoooCoooooCooDooEAADFoEGoDFoEGooFo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,F^3,A>3\n"]}} {"board": "oooBBBoooCoDoooCoDoooAADoooooooooooo", "size": 6, "moves": 3, "solution": ["B<1", "D^1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBoooCoDoooCoDoooAADoooooooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,D^1,A>1\n"]}} {"board": "ooooBoooAABoooCCCoooooooooDDDooooEEE", "size": 6, "moves": 3, "solution": ["C<1", "Bv2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoooAABoooCCCoooooooooDDDooooEEE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,Bv2,A>2\n"]}} {"board": "oooooooBoCCCDBooooDoooooAAoEFooooEFo", "size": 6, "moves": 3, "solution": ["E^2", "F^2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooBoCCCDBooooDoooooAAoEFooooEFo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^2,F^2,A>4\n"]}} {"board": "ooooBCAAooBCooooBCoDDEoooooEooFFoEoo", "size": 6, "moves": 3, "solution": ["Bv2", "Bv2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBCAAooBCooooBCoDDEoooooEooFFoEoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,Bv2,A>4\n"]}} {"board": "oooBBBCooDooCooDEoCooDEFooGooFAAGooF", "size": 6, "moves": 3, "solution": ["F^1", "G^1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBCooDooCooDEoCooDEFooGooFAAGooF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,G^1,A>4\n"]}} {"board": "oBoCCCoBoooooBooDoooooDEooAADEFFGGoE", "size": 6, "moves": 3, "solution": ["D^1", "E^2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoCCCoBoooooBooDoooooDEooAADEFFGGoE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E^2,A>2\n"]}} {"board": "BBBoooooAACDEEooCDFoooooFGoHIIFGoHoo", "size": 6, "moves": 3, "solution": ["Cv1", "Cv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBoooooAACDEEooCDFoooooFGoHIIFGoHoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Cv1,A>2\n"]}} {"board": "ooBBBooAAoCoDoooCoDoEECoooooFFoooooo", "size": 6, "moves": 3, "solution": ["F<2", "Cv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBooAAoCoDoooCoDoEECoooooFFoooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<2,Cv1,A>3\n"]}} {"board": "ooooooooAAoBoCoooBoCoooBooooDDEEEooo", "size": 6, "moves": 3, "solution": ["D<1", "Bv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooAAoBoCoooBoCoooBooooDDEEEooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv1,A>2\n"]}} {"board": "ooBBBCoAAooCoooooooooDDDoEoooooEoFFo", "size": 6, "moves": 3, "solution": ["D<1", "Cv2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBCoAAooCoooooooooDDDoEoooooEoFFo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Cv2,A>3\n"]}} {"board": "ooBoooooBAACDooooCDEFooCDEFoGGoEoHHH", "size": 6, "moves": 3, "solution": ["G<1", "Cv1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoooooBAACDooooCDEFooCDEFoGGoEoHHH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,Cv1,A>1\n"]}} {"board": "oooooooooooooooooooBoooooBAACDoBooCD", "size": 6, "moves": 3, "solution": ["C^2", "D^2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooooooooooBoooooBAACDoBooCD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,D^2,A>2\n"]}} {"board": "oooooBooAAoBooCDDDooCoooooCooEoooooE", "size": 6, "moves": 4, "solution": ["Cv1", "C<1", "Bv2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBooAAoBooCDDDooCoooooCooEoooooE\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,C<1,Bv2,A>2\n"]}} {"board": "oooBBBooAACoooooCooDooCooDoEEooooooo", "size": 6, "moves": 3, "solution": ["E<1", "Cv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBooAACoooooCooDooCooDoEEooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Cv1,A>2\n"]}} {"board": "oooooooooBBBoooooooooCoDAAoCoDoooCoD", "size": 6, "moves": 4, "solution": ["B<3", "C^2", "D^2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBBBoooooooooCoDAAoCoDoooCoD\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<3,C^2,D^2,A>4\n"]}} {"board": "ooooooooooBoCCCoBooooDEoFAADEoFooDoo", "size": 6, "moves": 4, "solution": ["B^1", "D^2", "E^1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooBoCCCoBooooDEoFAADEoFooDoo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,D^2,E^1,A>3\n"]}} {"board": "oooooBoooAABoCCoDDoEoooooEoooFoEGGGF", "size": 6, "moves": 3, "solution": ["D<1", "Bv2", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoooAABoCCoDDoEoooooEoooFoEGGGF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv2,A>1\n"]}} {"board": "ooBoCDEoBoCDEFFFCDAAooGHooooGHoIIooo", "size": 6, "moves": 3, "solution": ["Gv1", "Gv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoCDEoBoCDEFFFCDAAooGHooooGHoIIooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nGv1,Gv1,A>4\n"]}} {"board": "ooooBoooooBoAAooBoCoDDDECoFFoECooooE", "size": 6, "moves": 3, "solution": ["D<1", "Bv3", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoooooBoAAooBoCoDDDECoFFoECooooE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv3,A>4\n"]}} {"board": "oooooBoooooBCooooBCooDDDoAAoEooFFoEo", "size": 6, "moves": 3, "solution": ["D<2", "E^2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoooooBCooooBCooDDDoAAoEooFFoEo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<2,E^2,A>3\n"]}} {"board": "oAABoooooBooooCCCDoooooDoooooDoooooo", "size": 6, "moves": 3, "solution": ["C<2", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAABoooooBooooCCCDoooooDoooooDoooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,Bv1,A>3\n"]}} {"board": "oooooooooooooooBBBoCAAoDoCEEEDoooooD", "size": 6, "moves": 3, "solution": ["B<1", "D^3", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooooooBBBoCAAoDoCEEEDoooooD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,D^3,A>2\n"]}} {"board": "ooAAoBooooCBooooCBoooDDDoooooooEEooo", "size": 6, "moves": 3, "solution": ["D<1", "Bv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAAoBooooCBooooCBoooDDDoooooooEEooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv1,A>2\n"]}} {"board": "AABoooooBoCCDoBoooDEEFGGHHoFIJoKKFIJ", "size": 6, "moves": 4, "solution": ["D^1", "E<1", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AABoooooBoCCDoBoooDEEFGGHHoFIJoKKFIJ\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E<1,Bv1,A>4\n"]}} {"board": "oAABoCoDEBoCoDEBFCooEoFoGoooHHGIIJJJ", "size": 6, "moves": 3, "solution": ["Bv1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAABoCoDEBoCoDEBFCooEoFoGoooHHGIIJJJ\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>3\n"]}} {"board": "oooooooAAoBoooooBoooooBCDDoEECoooFFC", "size": 6, "moves": 3, "solution": ["E<1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooAAoBoooooBoooooBCDDoEECoooFFC\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv1,A>3\n"]}} {"board": "oooooooBBBCooAAoCoooooCoDEooooDEoFFF", "size": 6, "moves": 4, "solution": ["E^1", "F<2", "Cv2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooBBBCooAAoCoooooCoDEooooDEoFFF\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,F<2,Cv2,A>3\n"]}} {"board": "ooooooooAAoBoooCCBooooDDooooooEEoooo", "size": 6, "moves": 3, "solution": ["D<1", "Bv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooAAoBoooCCBooooDDooooooEEoooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv1,A>2\n"]}} {"board": "oBoAACoBoooCoooDDDoEFFFGHEoooGHEooII", "size": 6, "moves": 3, "solution": ["D<1", "Cv1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoAACoBoooCoooDDDoEFFFGHEoooGHEooII\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Cv1,A>1\n"]}} {"board": "ooooBoooooBoCDDDBoCAAEoooooEoooooEoo", "size": 6, "moves": 4, "solution": ["C^2", "D<1", "E^3", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoooooBoCDDDBoCAAEoooooEoooooEoo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,D<1,E^3,A>3\n"]}} {"board": "BBBooCoooooCooAAoCooooooooooooooooDD", "size": 6, "moves": 3, "solution": ["D<1", "Cv3", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBooCoooooCooAAoCooooooooooooooooDD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Cv3,A>2\n"]}} {"board": "BoCDEoBoCDEoBoFoEGoHFooGoHoooIooAAoI", "size": 6, "moves": 3, "solution": ["G^1", "I^1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoCDEoBoCDEoBoFoEGoHFooGoHoooIooAAoI\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nG^1,I^1,A>2\n"]}} {"board": "BAAooCBoDoECooDoEFooGooFooGoHHIIGJJJ", "size": 6, "moves": 4, "solution": ["H<1", "Fv1", "Cv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BAAooCBoDoECooDoEFooGooFooGoHHIIGJJJ\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nH<1,Fv1,Cv1,A>3\n"]}} {"board": "oBBBoCoooAACDooooEDooooEFoooooFooGGo", "size": 6, "moves": 3, "solution": ["Ev2", "Cv2", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBoCoooAACDooooEDooooEFoooooFooGGo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv2,Cv2,A>1\n"]}} {"board": "BCDDDEBCooFEoCooFEGoHIIIGoHoJoGoAAJo", "size": 6, "moves": 4, "solution": ["H^2", "I<2", "J^1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BCDDDEBCooFEoCooFEGoHIIIGoHoJoGoAAJo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nH^2,I<2,J^1,A>2\n"]}} {"board": "ooooBoooooBoAAooBooooCCoooDDDoEEEooo", "size": 6, "moves": 4, "solution": ["C<1", "D<1", "Bv3", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoooooBoAAooBooooCCoooDDDoEEEooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,D<1,Bv3,A>4\n"]}} {"board": "oooooooooBBBoooCooAAoCoooooDDooooEEE", "size": 6, "moves": 3, "solution": ["B<3", "C^1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBBBoooCooAAoCoooooDDooooEEE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<3,C^1,A>4\n"]}} {"board": "ooooBCoooDBCooEDBCAAEDooooEFFFGGGooo", "size": 6, "moves": 3, "solution": ["D^1", "E^2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBCoooDBCooEDBCAAEDooooEFFFGGGooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E^2,A>4\n"]}} {"board": "ooooooooooooooooooAABCoDoEBCoDoEBCoD", "size": 6, "moves": 4, "solution": ["B^3", "C^3", "D^3", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooooooooooAABCoDoEBCoDoEBCoD\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^3,C^3,D^3,A>4\n"]}} {"board": "AAoooBoooCCBDooEEBDFoGGGHFoIJJHFoIoo", "size": 6, "moves": 3, "solution": ["G<1", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoooBoooCCBDooEEBDFoGGGHFoIJJHFoIoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,Bv1,A>4\n"]}} {"board": "BBBCCCoDEooFoDEAAFGoHooFGoHIIoJJHoKK", "size": 6, "moves": 3, "solution": ["K<1", "Fv2", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBCCCoDEooFoDEAAFGoHooFGoHIIoJJHoKK\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nK<1,Fv2,A>1\n"]}} {"board": "ooooBooCooBooCAABoooooooooDDooooooEE", "size": 6, "moves": 3, "solution": ["E<2", "Bv3", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBooCooBooCAABoooooooooDDooooooEE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<2,Bv3,A>2\n"]}} {"board": "oBBBooooooooAACoooDoCoEEDFGGGoDFooHH", "size": 6, "moves": 3, "solution": ["B>2", "C^2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBooooooooAACoooDoCoEEDFGGGoDFooHH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB>2,C^2,A>4\n"]}} {"board": "ooooooBBBoooCoooDoCAAEDoCoFEooooFooo", "size": 6, "moves": 3, "solution": ["D^1", "E^2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooBBBoooCoooDoCAAEDoCoFEooooFooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E^2,A>3\n"]}} {"board": "ooooooooooBCooAABCooooBCooooooooDDDo", "size": 6, "moves": 4, "solution": ["Cv2", "D<1", "Bv2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooBCooAABCooooBCooooooooDDDo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,D<1,Bv2,A>2\n"]}} {"board": "AAoooBCooooBCDDoEECoooFoooGoFoooGoFo", "size": 6, "moves": 3, "solution": ["E<1", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoooBCooooBCDDoEECoooFoooGoFoooGoFo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv1,A>4\n"]}} {"board": "oAABoCoooBoCoooBoooooooooDDEEEoooFFF", "size": 6, "moves": 3, "solution": ["Bv1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAABoCoooBoCoooBoooooooooDDEEEoooFFF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>3\n"]}} {"board": "ooAABoooooBoooooCoooooCoooooCooDDooo", "size": 6, "moves": 3, "solution": ["Cv1", "Bv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAABoooooBoooooCoooooCoooooCooDDooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Bv1,A>2\n"]}} {"board": "oBAAoCoBDooCEEDoFFooGoooooGoooooGooo", "size": 6, "moves": 3, "solution": ["F<1", "Cv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBAAoCoBDooCEEDoFFooGoooooGoooooGooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Cv1,A>2\n"]}} {"board": "ooBooCDoBAACDoBooCDEEoFFoooGGoHHHIII", "size": 6, "moves": 3, "solution": ["F<1", "Cv2", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBooCDoBAACDoBooCDEEoFFoooGGoHHHIII\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Cv2,A>1\n"]}} {"board": "oAAoBoooooBoooooCoooDoCEooDooEoooFFE", "size": 6, "moves": 3, "solution": ["Cv1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAoBoooooBoooooCoooDoCEooDooEoooFFE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Bv1,A>3\n"]}} {"board": "ooooBoAAooBoooooooCooDDDCoEooFCoEooF", "size": 6, "moves": 3, "solution": ["D<2", "Bv2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoAAooBoooooooCooDDDCoEooFCoEooF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<2,Bv2,A>4\n"]}} {"board": "oAABoooooBoooCCDDoEEEFGooHHFGooIIFGo", "size": 6, "moves": 3, "solution": ["D>1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAABoooooBoooCCDDoEEEFGooHHFGooIIFGo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD>1,Bv1,A>3\n"]}} {"board": "oooooBAACooBooCoooooDDoooooEoooooEoo", "size": 6, "moves": 4, "solution": ["Bv2", "D<2", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBAACooBooCoooooDDoooooEoooooEoo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,D<2,Bv1,A>4\n"]}} {"board": "oooBBBoCCCooDDDoEooAAoEooooFEoGGGFoo", "size": 6, "moves": 3, "solution": ["B<2", "E^2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBoCCCooDDDoEooAAoEooooFEoGGGFoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,E^2,A>3\n"]}} {"board": "oooBBBoooooooooooCoAAooCoooooCoooooo", "size": 6, "moves": 3, "solution": ["B<1", "C^2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBoooooooooooCoAAooCoooooCoooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,C^2,A>3\n"]}} {"board": "AAoooBCooooBCDDEFFCGHEIooGHoIJoGHoIJ", "size": 6, "moves": 4, "solution": ["Ev1", "E<1", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoooBCooooBCDDEFFCGHEIooGHoIJoGHoIJ\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,E<1,Bv1,A>4\n"]}} {"board": "AAoooBooCCoBDEFFoGDEooHGoEooHGoIIIHo", "size": 6, "moves": 3, "solution": ["Gv1", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoooBooCCoBDEFFoGDEooHGoEooHGoIIIHo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nGv1,Bv1,A>4\n"]}} {"board": "ooAAoBCoooDBCooEDBFGoEDHFGoIIHFoJJJo", "size": 6, "moves": 3, "solution": ["Hv1", "Bv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAAoBCoooDBCooEDBFGoEDHFGoIIHFoJJJo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nHv1,Bv1,A>2\n"]}} {"board": "ooBoooooBoooAABooooCoDDDoCooooEEFFoo", "size": 6, "moves": 3, "solution": ["F>1", "Bv3", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoooooBoooAABooooCoDDDoCooooEEFFoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF>1,Bv3,A>4\n"]}} {"board": "ooooBoooooBooooooCoooDECoooDECoAADEo", "size": 6, "moves": 3, "solution": ["D^1", "E^1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoooooBooooooCoooDECoooDECoAADEo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E^1,A>3\n"]}} {"board": "ooooBCooAABCooDDDooooooooooEEFoGGooF", "size": 6, "moves": 4, "solution": ["Cv2", "C<1", "Bv2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBCooAABCooDDDooooooooooEEFoGGooF\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,C<1,Bv2,A>2\n"]}} {"board": "oBBBooooCooDAACooDooooEDooooEoFFFooo", "size": 6, "moves": 3, "solution": ["Cv2", "Cv2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBooooCooDAACooDooooEDooooEoFFFooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,Cv2,A>4\n"]}} {"board": "ooBBBoooooooAACDooEECDFFooCDGGoooooo", "size": 6, "moves": 3, "solution": ["Cv1", "Cv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBoooooooAACDooEECDFFooCDGGoooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Cv1,A>4\n"]}} {"board": "BoCCCoBoAADoBEooDoFEooDoFEoGGooHHooo", "size": 6, "moves": 3, "solution": ["G<1", "Dv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoCCCoBoAADoBEooDoFEooDoFEoGGooHHooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,Dv1,A>2\n"]}} {"board": "oooooooooBBBoooCCCoooooooAAooDoooooD", "size": 6, "moves": 3, "solution": ["C<1", "D^2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBBBoooCCCoooooooAAooDoooooD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,D^2,A>3\n"]}} {"board": "oooAABooCCCBoooooBooooDDooEEoooooooo", "size": 6, "moves": 3, "solution": ["D<1", "Bv1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooAABooCCCBoooooBooooDDooEEoooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv1,A>1\n"]}} {"board": "oooooooooBoCoAABoCoDDEEEooFFFoGGGooo", "size": 6, "moves": 3, "solution": ["B^1", "C^1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBoCoAABoCoDDEEEooFFFoGGGooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,C^1,A>3\n"]}} {"board": "oooBoooAABoooooCCCooooooooDDDooooooo", "size": 6, "moves": 3, "solution": ["C<3", "Bv2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoooAABoooooCCCooooooooDDDooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<3,Bv2,A>3\n"]}} {"board": "ooooooooAABCooooBCooooooDDoooooooooo", "size": 6, "moves": 3, "solution": ["Bv1", "Bv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooAABCooooBCooooooDDoooooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>2\n"]}} {"board": "oooooooooooooooBoooooBCooAABCoooooCo", "size": 6, "moves": 3, "solution": ["B^1", "C^2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooooooBoooooBCooAABCoooooCo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,C^2,A>3\n"]}} {"board": "oBoooooBoooooooooooAAoCDooooCDoooooD", "size": 6, "moves": 3, "solution": ["C^2", "D^3", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoooooBoooooooooooAAoCDooooCDoooooD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,D^3,A>3\n"]}} {"board": "oBCoDooBCoDoAACoooooooooEoFFFoEoooGG", "size": 6, "moves": 3, "solution": ["F>1", "Cv3", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBCoDooBCoDoAACoooooooooEoFFFoEoooGG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF>1,Cv3,A>4\n"]}} {"board": "oooBBBoooCooDooCooDooCEooFAAEGoFooEG", "size": 6, "moves": 3, "solution": ["E^2", "G^2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBoooCooDooCooDooCEooFAAEGoFooEG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^2,G^2,A>2\n"]}} {"board": "ooooooBBBoooooooooCAADEoCooDEoCooDEo", "size": 6, "moves": 3, "solution": ["D^3", "E^3", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooBBBoooooooooCAADEoCooDEoCooDEo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^3,E^3,A>3\n"]}} {"board": "ooooBooAAoBoCCooooDooEFoDGoEFooGoEoo", "size": 6, "moves": 3, "solution": ["Fv1", "Bv2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBooAAoBoCCooooDooEFoDGoEFooGoEoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nFv1,Bv2,A>3\n"]}} {"board": "oooBBBooooooooAACoDEFoCoDEFGGoDEFHHH", "size": 6, "moves": 3, "solution": ["B<2", "C^2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBooooooooAACoDEFoCoDEFGGoDEFHHH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,C^2,A>2\n"]}} {"board": "ooooBooAAoBooCCoBoooooDDoooooooooooo", "size": 6, "moves": 3, "solution": ["D<2", "Bv2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBooAAoBooCCoBoooooDDoooooooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<2,Bv2,A>3\n"]}} {"board": "oBoooCDBoAACDBoooCEFFGGoEooHHHoooooo", "size": 6, "moves": 3, "solution": ["H<1", "Cv2", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoooCDBoAACDBoooCEFFGGoEooHHHoooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nH<1,Cv2,A>1\n"]}} {"board": "BAACooBoDCEEooDCFFGHDIIoGHJooooHJKKK", "size": 6, "moves": 3, "solution": ["I>1", "Cv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BAACooBoDCEEooDCFFGHDIIoGHJooooHJKKK\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nI>1,Cv1,A>3\n"]}} {"board": "oooooooBBBooooooooooooCDooAACDooooCD", "size": 6, "moves": 3, "solution": ["C^2", "D^2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooBBBooooooooooooCDooAACDooooCD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,D^2,A>2\n"]}} {"board": "ooooooooBoooAABCoooooCoooooooooooooo", "size": 6, "moves": 3, "solution": ["B^1", "C^2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooBoooAABCoooooCoooooooooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,C^2,A>4\n"]}} {"board": "oBoCCCoBAAoDoEEooDFooooDFGoHHHFGIIoo", "size": 6, "moves": 3, "solution": ["H<1", "Dv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoCCCoBAAoDoEEooDFooooDFGoHHHFGIIoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nH<1,Dv1,A>2\n"]}} {"board": "BoooooBoAAoCBooooCoooooCooooDDooooEE", "size": 6, "moves": 3, "solution": ["D<1", "Cv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoooooBoAAoCBooooCoooooCooooDDooooEE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Cv1,A>2\n"]}} {"board": "ooBBBoooooCoooooCooAAoCoooDEEoooDooo", "size": 6, "moves": 3, "solution": ["B<1", "C^1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBoooooCoooooCooAAoCoooDEEoooDooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,C^1,A>3\n"]}} {"board": "ooBooCDoBAACDooooCDEEoFFGooHHoGIIIoo", "size": 6, "moves": 3, "solution": ["F<1", "Cv2", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBooCDoBAACDooooCDEEoFFGooHHoGIIIoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Cv2,A>1\n"]}} {"board": "BBBoooAACoooooCoooooCooooDDooooooooo", "size": 6, "moves": 3, "solution": ["D<1", "Cv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBoooAACoooooCoooooCooooDDooooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Cv1,A>4\n"]}} {"board": "oBBBoooooooooooCooAAoCoooooCoooooooo", "size": 6, "moves": 3, "solution": ["B<1", "C^2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBoooooooooooCooAAoCoooooCoooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,C^2,A>4\n"]}} {"board": "oooBBBoCCCoDEFFFoDEAAoGDoHHoGIooJJGI", "size": 6, "moves": 4, "solution": ["B<2", "D^1", "G^3", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBoCCCoDEFFFoDEAAoGDoHHoGIooJJGI\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,D^1,G^3,A>3\n"]}} {"board": "oAABooCCCBoooooDDoooooEEoFoooooFoooo", "size": 6, "moves": 3, "solution": ["D<2", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAABooCCCBoooooDDoooooEEoFoooooFoooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<2,Bv1,A>3\n"]}} {"board": "BBBCCCoooDEoAAoDEoFoGGEoFHHooIFooooI", "size": 6, "moves": 4, "solution": ["Ev2", "F<1", "Dv2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBCCCoooDEoAAoDEoFoGGEoFHHooIFooooI\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv2,F<1,Dv2,A>4\n"]}} {"board": "oooBoooooBoooAABoCooooDCooooDooooooo", "size": 6, "moves": 3, "solution": ["Bv3", "B^2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoooooBoooAABoCooooDCooooDooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv3,B^2,A>3\n"]}} {"board": "AABoooooBCDDoEECooFFGHHHooGIIoooGooo", "size": 6, "moves": 3, "solution": ["E<1", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AABoooooBCDDoEECooFFGHHHooGIIoooGooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv1,A>4\n"]}} {"board": "oooAABoCoDoBoCoDoEFGGooEFHHooEFooIII", "size": 6, "moves": 4, "solution": ["I<1", "Ev1", "Bv1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooAABoCoDoBoCoDoEFGGooEFHHooEFooIII\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nI<1,Ev1,Bv1,A>1\n"]}} {"board": "AAoBoCDDDBECFooBEoFGGoHHooIJJJooIKKK", "size": 6, "moves": 3, "solution": ["Bv1", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoBoCDDDBECFooBEoFGGoHHooIJJJooIKKK\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>4\n"]}} {"board": "oBooCDoBAACDooEoooooEFooGHHFIIGooFJJ", "size": 6, "moves": 3, "solution": ["Cv2", "Cv2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBooCDoBAACDooEoooooEFooGHHFIIGooFJJ\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,Cv2,A>2\n"]}} {"board": "oooooooooooBAAooCBooooCBDoooCoDEEooo", "size": 6, "moves": 3, "solution": ["Bv2", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooBAAooCBooooCBDoooCoDEEooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,Bv1,A>4\n"]}} {"board": "oAAoBooCooBDoCoEEDFCGoHHFoGIJoKKKIJo", "size": 6, "moves": 3, "solution": ["E<1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAoBooCooBDoCoEEDFCGoHHFoGIJoKKKIJo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv1,A>3\n"]}} {"board": "oAAoBooCCoBoooDDBooooEEFoooooFooGGGF", "size": 6, "moves": 3, "solution": ["E<1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAoBooCCoBoooDDBooooEEFoooooFooGGGF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv1,A>3\n"]}} {"board": "ooBoCoAABoCoooooCoooDDoooEoooFoEoooF", "size": 6, "moves": 4, "solution": ["Cv2", "D<2", "Bv2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoCoAABoCoooooCoooDDoooEoooFoEoooF\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,D<2,Bv2,A>4\n"]}} {"board": "oBoCCCoBoooooBDEEEFoDooGFooAAGFooooG", "size": 6, "moves": 4, "solution": ["D^2", "E<1", "G^2", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoCCCoBoooooBDEEEFoDooGFooAAGFooooG\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,E<1,G^2,A>1\n"]}} {"board": "oooooooooooooooBooAAoBCDooooCDEEEoCD", "size": 6, "moves": 4, "solution": ["B^1", "C^3", "D^3", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooooooBooAAoBCDooooCDEEEoCD\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,C^3,D^3,A>4\n"]}} {"board": "ooBAACooBooCooBoDDooooEooooFEooooFEo", "size": 6, "moves": 3, "solution": ["D<1", "Cv1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBAACooBooCooBoDDooooEooooFEooooFEo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Cv1,A>1\n"]}} {"board": "BBBooCoAAooCoDDDooooooEEoFFFoooooGGG", "size": 6, "moves": 3, "solution": ["E<1", "Cv2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBooCoAAooCoDDDooooooEEoFFFoooooGGG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Cv2,A>3\n"]}} {"board": "oooBBBAAoCoDEEoCoDFFFCoDoGGooooooooo", "size": 6, "moves": 3, "solution": ["Cv1", "Cv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBAAoCoDEEoCoDFFFCoDoGGooooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Cv1,A>4\n"]}} {"board": "oooBBBAAoooCoDoooCoDoooCoDoEEEoooFFF", "size": 6, "moves": 3, "solution": ["E<1", "Cv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBAAoooCoDoooCoDoooCoDoEEEoooFFF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Cv1,A>4\n"]}} {"board": "oBBBooAAoCoooooCoooDDCoEooFFoEoooGGG", "size": 6, "moves": 3, "solution": ["F<1", "Cv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBooAAoCoooooCoooDDCoEooFFoEoooGGG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Cv1,A>4\n"]}} {"board": "AABooCDDBooCooBEoooFFEoooooEoooGGooo", "size": 6, "moves": 4, "solution": ["Cv1", "F<1", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AABooCDDBooCooBEoooFFEoooooEoooGGooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,F<1,Bv1,A>4\n"]}} {"board": "oooooooooooooooBBBCooooDCooAADCooooD", "size": 6, "moves": 3, "solution": ["B<1", "D^2", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooooooBBBCooooDCooAADCooooD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,D^2,A>1\n"]}} {"board": "oAABooCoDBEECoDBFFooDGGooHHHooIIIJJJ", "size": 6, "moves": 3, "solution": ["G>1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAABooCoDBEECoDBFFooDGGooHHHooIIIJJJ\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nG>1,Bv1,A>3\n"]}} {"board": "ooBoooAABooCooBooCoDoEEooDoFFGHHHooG", "size": 6, "moves": 3, "solution": ["Bv2", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoooAABooCooBooCoDoEEooDoFFGHHHooG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,Bv1,A>4\n"]}} {"board": "ooooooooooooAAoooBoooooBoooooBoCCoDD", "size": 6, "moves": 3, "solution": ["D<1", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooooAAoooBoooooBoooooBoCCoDD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv1,A>4\n"]}} {"board": "ooooooooBoooooBCCCDoooooDAAoEoDFFoEo", "size": 6, "moves": 4, "solution": ["B^1", "C<2", "E^2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooBoooooBCCCDoooooDAAoEoDFFoEo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,C<2,E^2,A>3\n"]}} {"board": "oooooooooooBoCCCoBoDDDEoooooEFooAAEF", "size": 6, "moves": 3, "solution": ["E^1", "F^1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooBoCCCoBoDDDEoooooEFooAAEF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,F^1,A>2\n"]}} {"board": "oooooooBoooooBoooooooCoooAACDooooCDo", "size": 6, "moves": 3, "solution": ["C^2", "D^2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooBoooooBoooooooCoooAACDooooCDo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,D^2,A>3\n"]}} {"board": "oooBoooooBCoAAoBCoooooCooooooDEEEooD", "size": 6, "moves": 3, "solution": ["Bv3", "Bv2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoooooBCoAAoBCoooooCooooooDEEEooD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv3,Bv2,A>4\n"]}} {"board": "ooooooooooooooooooBooCCCBoAADoBoooDo", "size": 6, "moves": 3, "solution": ["C<2", "D^2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooooooooooBooCCCBoAADoBoooDo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,D^2,A>2\n"]}} {"board": "oooooooooBBBoCoooooCoDoooAADoooooDoo", "size": 6, "moves": 3, "solution": ["B<3", "D^2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBBBoCoooooCoDoooAADoooooDoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<3,D^2,A>3\n"]}} {"board": "oBBBoooooooooAAooCoooooCoooooCoooDDD", "size": 6, "moves": 3, "solution": ["D<1", "Cv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBoooooooooAAooCoooooCoooooCoooDDD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Cv1,A>3\n"]}} {"board": "BBBoCooAAoCoooooCoooooooooooDDooooEE", "size": 6, "moves": 3, "solution": ["D<2", "Cv2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBoCooAAoCoooooCoooooooooooDDooooEE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<2,Cv2,A>3\n"]}} {"board": "oooooooooBBBoooooooooooCAAoooCoooooC", "size": 6, "moves": 3, "solution": ["B<1", "C^2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBBBoooooooooooCAAoooCoooooC\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,C^2,A>4\n"]}} {"board": "BBBooooooCCCoAADoooooDoooooDoooEEEFF", "size": 6, "moves": 3, "solution": ["E<1", "Dv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBooooooCCCoAADoooooDoooooDoooEEEFF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Dv1,A>3\n"]}} {"board": "AAoooBCooooBCoDDoBCooEEEoooooooooooo", "size": 6, "moves": 3, "solution": ["E<1", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoooBCooooBCoDDoBCooEEEoooooooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv1,A>4\n"]}} {"board": "oAABooCCCBooDDoBoooEEEFooGGGFHoIIoFH", "size": 6, "moves": 3, "solution": ["E<1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAABooCCCBooDDoBoooEEEFooGGGFHoIIoFH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv1,A>3\n"]}} {"board": "oooooooBCooooBCDDDEBooooEoAAoFoooooF", "size": 6, "moves": 4, "solution": ["C^1", "D<1", "F^2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooBCooooBCDDDEBooooEoAAoFoooooF\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D<1,F^2,A>2\n"]}} {"board": "BBBooCooDDDCoooEEEFFFooGoooooGoooAAG", "size": 6, "moves": 3, "solution": ["E<1", "G^1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBooCooDDDCoooEEEFFFooGoooooGoooAAG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,G^1,A>1\n"]}} {"board": "oooooooooBBBooooCoooAACooooooooooDDD", "size": 6, "moves": 3, "solution": ["B<2", "C^1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBBBooooCoooAACooooooooooDDD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,C^1,A>2\n"]}} {"board": "ooAABoCCCoBoooooBoDoEEEoDoFFGHDoooGH", "size": 6, "moves": 3, "solution": ["E<1", "Bv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAABoCCCoBoooooBoDoEEEoDoFFGHDoooGH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv1,A>2\n"]}} {"board": "ooooBoooAABoooCCBooooDDDoooooooooEEE", "size": 6, "moves": 3, "solution": ["D<2", "Bv2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoooAABoooCCBooooDDDoooooooooEEE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<2,Bv2,A>2\n"]}} {"board": "ooooBoooooBoooAABoCoooooCoDDooCooEEE", "size": 6, "moves": 3, "solution": ["E<2", "Bv3", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoooooBoooAABoCoooooCoDDooCooEEE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<2,Bv3,A>2\n"]}} {"board": "ooBoooAABoooooCCooooooDoooooDoEEEooo", "size": 6, "moves": 3, "solution": ["C<2", "Bv2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoooAABoooooCCooooooDoooooDoEEEooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,Bv2,A>4\n"]}} {"board": "oBoAACoBoooCoBoDDDEFooooEFGHHHoFGIII", "size": 6, "moves": 3, "solution": ["D<1", "Cv1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoAACoBoooCoBoDDDEFooooEFGHHHoFGIII\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Cv1,A>1\n"]}} {"board": "oAAoBoCoooBoCooDDDooooooooooooEEFFoo", "size": 6, "moves": 3, "solution": ["D<2", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAoBoCoooBoCooDDDooooooooooooEEFFoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<2,Bv1,A>3\n"]}} {"board": "oooooBoooooBooCCCDAAoooDoooEEEoFFFoo", "size": 6, "moves": 3, "solution": ["E<1", "Dv2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoooooBooCCCDAAoooDoooEEEoFFFoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Dv2,A>4\n"]}} {"board": "oooBBBCDooEoCDAAEoooooFFGGGooooooHHH", "size": 6, "moves": 3, "solution": ["B<2", "E^1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBCDooEoCDAAEoooooFFGGGooooooHHH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,E^1,A>2\n"]}} {"board": "BAAoCoBDDDCoooooEEooFoGGooFooooHHIIo", "size": 6, "moves": 3, "solution": ["E<2", "Cv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BAAoCoBDDDCoooooEEooFoGGooFooooHHIIo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<2,Cv1,A>3\n"]}} {"board": "ooooBoooooBooAAoBoooooooooooCCoooDDD", "size": 6, "moves": 4, "solution": ["C<2", "D<2", "Bv3", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoooooBooAAoBoooooooooooCCoooDDD\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,D<2,Bv3,A>3\n"]}} {"board": "ooooBoooooBoCCCoBooooDoooAADoEoooDoE", "size": 6, "moves": 3, "solution": ["D^2", "E^2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoooooBoCCCoBooooDoooAADoEoooDoE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,E^2,A>3\n"]}} {"board": "ooooooooooooooooBoAAoCBooooCooDDoCoo", "size": 6, "moves": 3, "solution": ["B^1", "C^3", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooooooooBoAAoCBooooCooDDoCoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,C^3,A>4\n"]}} {"board": "ooooBoAAooBCooooBCoooooCoooDDDoooooo", "size": 6, "moves": 4, "solution": ["D<2", "Bv2", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoAAooBCooooBCoooooCoooDDDoooooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<2,Bv2,Bv1,A>4\n"]}} {"board": "oooooooooBBBooCDDDooCooooAAEoooooEoo", "size": 6, "moves": 4, "solution": ["C^2", "D<3", "E^2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBBBooCDDDooCooooAAEoooooEoo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,D<3,E^2,A>3\n"]}} {"board": "oooooBAAoooBoooooBooooooooCDDDooCooo", "size": 6, "moves": 4, "solution": ["C^2", "D<1", "Bv2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBAAoooBoooooBooooooooCDDDooCooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,D<1,Bv2,A>4\n"]}} {"board": "ooooBooAAoBoooooBCoooDDCoooEEooFFooo", "size": 6, "moves": 4, "solution": ["D<1", "E<1", "Bv2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBooAAoBoooooBCoooDDCoooEEooFFooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,E<1,Bv2,A>3\n"]}} {"board": "oooBooAAoBCoooooCooooooooooDDDoooooo", "size": 6, "moves": 3, "solution": ["Bv2", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBooAAoBCoooooCooooooooooDDDoooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,Bv1,A>4\n"]}} {"board": "ooooooooBoooooBCCCoooooDoooAADoooooo", "size": 6, "moves": 4, "solution": ["B^1", "C<1", "D^1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooBoooooBCCCoooooDoooAADoooooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,C<1,D^1,A>1\n"]}} {"board": "AAoooBoooooBoooooBoooCCCooooDDoooooo", "size": 6, "moves": 3, "solution": ["C<1", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoooBoooooBoooooBoooCCCooooDDoooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,Bv1,A>4\n"]}} {"board": "oooBBBooCCCDAAEooDFGEoHHFGooooFGIIIo", "size": 6, "moves": 4, "solution": ["B<1", "D^1", "Ev1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBooCCCDAAEooDFGEoHHFGooooFGIIIo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,D^1,Ev1,A>4\n"]}} {"board": "ooAAoBCCoooBDEoooBDEFGGGDEFHHooooooo", "size": 6, "moves": 4, "solution": ["F^2", "G<1", "Bv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAAoBCCoooBDEoooBDEFGGGDEFHHooooooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^2,G<1,Bv1,A>2\n"]}} {"board": "oooooBAAoooBoooooooooCCCoooooooooooo", "size": 6, "moves": 3, "solution": ["C<1", "Bv2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBAAoooBoooooooooCCCoooooooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,Bv2,A>4\n"]}} {"board": "BooCCCBoAADoooooDoEEooDoooooFFoooGGo", "size": 6, "moves": 3, "solution": ["F<2", "Dv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BooCCCBoAADoooooDoEEooDoooooFFoooGGo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<2,Dv1,A>2\n"]}} {"board": "oBBBoooCoooooCoooooCooDEooooDEoAAoDE", "size": 6, "moves": 3, "solution": ["D^1", "E^1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBoooCoooooCoooooCooDEooooDEoAAoDE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E^1,A>3\n"]}} {"board": "BoooooBooCCCBooooDoEFAADGEFooDGEFHHo", "size": 6, "moves": 3, "solution": ["C<1", "D^2", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoooooBooCCCBooooDoEFAADGEFooDGEFHHo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,D^2,A>1\n"]}} {"board": "ooBoooAABoooCoBDDDCooooooEEoooFFoGGG", "size": 6, "moves": 3, "solution": ["E<1", "Bv2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoooAABoooCoBDDDCooooooEEoooFFoGGG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv2,A>4\n"]}} {"board": "ooooBoooooBoooAABooooCCoooooooDDoooo", "size": 6, "moves": 3, "solution": ["C<1", "Bv3", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoooooBoooAABooooCCoooooooDDoooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,Bv3,A>2\n"]}} {"board": "ooooBoooAABooooooooCoDDDoCoooooCoooo", "size": 6, "moves": 4, "solution": ["C^3", "D<2", "Cv2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoooAABooooooooCoDDDoCoooooCoooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^3,D<2,Cv2,A>2\n"]}} {"board": "ooBBBooAAoCooDDoCoEooFFoEGHHoooGoIII", "size": 6, "moves": 3, "solution": ["F<1", "Cv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBooAAoCooDDoCoEooFFoEGHHoooGoIII\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Cv1,A>3\n"]}} {"board": "ooAABooCCCBDEFFFGDEHHIGDEJJIGKLLLIoK", "size": 6, "moves": 3, "solution": ["Gv1", "Bv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAABooCCCBDEFFFGDEHHIGDEJJIGKLLLIoK\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nGv1,Bv1,A>2\n"]}} {"board": "oBoCCCoBoDDDoooEEEooooFooAAoFGoooooG", "size": 6, "moves": 4, "solution": ["E<2", "F^1", "G^2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoCCCoBoDDDoooEEEooooFooAAoFGoooooG\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<2,F^1,G^2,A>3\n"]}} {"board": "oBoooooBoooooBoCCCDEoooFDEoAAFDEoGGF", "size": 6, "moves": 3, "solution": ["C<1", "F^2", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoooooBoooooBoCCCDEoooFDEoAAFDEoGGF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,F^2,A>1\n"]}} {"board": "oBoCCCoBAADooEEoDoFFooDoooGGGoHHoIIo", "size": 6, "moves": 3, "solution": ["G<1", "Dv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoCCCoBAADooEEoDoFFooDoooGGGoHHoIIo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,Dv1,A>2\n"]}} {"board": "oooooooooBBBoAACoooDoCoooDEEEooDoFFF", "size": 6, "moves": 3, "solution": ["B<3", "C^2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBBBoAACoooDoCoooDEEEooDoFFF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<3,C^2,A>3\n"]}} {"board": "BooooCBooooCBAAooCoooDDDooooooEEoooo", "size": 6, "moves": 3, "solution": ["D<1", "Cv3", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BooooCBooooCBAAooCoooDDDooooooEEoooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Cv3,A>3\n"]}} {"board": "ooooBooAAoBoooooooooooCCoooDooEEoDoo", "size": 6, "moves": 3, "solution": ["C<2", "Bv2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBooAAoBoooooooooooCCoooDooEEoDoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,Bv2,A>3\n"]}} {"board": "oBBBoooooCCCoAAoDooEooDooEFFFooEoooo", "size": 6, "moves": 3, "solution": ["C<2", "D^2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBoooooCCCoAAoDooEooDooEFFFooEoooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,D^2,A>3\n"]}} {"board": "ooooBoooAABoCDooEECDoooFoDGGGFoooooF", "size": 6, "moves": 3, "solution": ["E<2", "Bv2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoooAABoCDooEECDoooFoDGGGFoooooF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<2,Bv2,A>2\n"]}} {"board": "oooooooooooooBoooooBoCCCDDDEooAAoEoo", "size": 6, "moves": 4, "solution": ["B^1", "C<3", "E^1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooooBoooooBoCCCDDDEooAAoEoo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,C<3,E^1,A>4\n"]}} {"board": "oooBBBooooooooooCoooAACoDoooCEDooooE", "size": 6, "moves": 3, "solution": ["B<2", "C^2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBooooooooooCoooAACoDoooCEDooooE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,C^2,A>2\n"]}} {"board": "oAABCoDDDBCoEoooCFEoGGGFEoooHHoIIoJJ", "size": 6, "moves": 4, "solution": ["Bv1", "G<1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAABCoDDDBCoEoooCFEoGGGFEoooHHoIIoJJ\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,G<1,Bv1,A>3\n"]}} {"board": "BCooooBCoDDDBCooooEFoGGGEFAAoHEooooH", "size": 6, "moves": 3, "solution": ["G<1", "H^2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BCooooBCoDDDBCooooEFoGGGEFAAoHEooooH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,H^2,A>2\n"]}} {"board": "BBBooooCoooDoCAAoDoCoooDEEoFFooGGHHH", "size": 6, "moves": 4, "solution": ["G<1", "H<1", "Dv2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBooooCoooDoCAAoDoCoooDEEoFFooGGHHH\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,H<1,Dv2,A>2\n"]}} {"board": "AABoooooBooCooBoDCooEoDoooEooooooFFF", "size": 6, "moves": 3, "solution": ["Ev1", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AABoooooBooCooBoDCooEoDoooEooooooFFF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,Bv1,A>4\n"]}} {"board": "BCCCoDBooooDBooAADoEFFoooEoGGGoEoooo", "size": 6, "moves": 3, "solution": ["G<1", "Dv3", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BCCCoDBooooDBooAADoEFFoooEoGGGoEoooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,Dv3,A>1\n"]}} {"board": "oooooooooBBBAAoCoDoooCoDoooCoDoooooo", "size": 6, "moves": 3, "solution": ["Cv1", "Cv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBBBAAoCoDoooCoDoooCoDoooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Cv1,A>4\n"]}} {"board": "BBBCooAAoCoooooDDDEEFFooGooHooGooHII", "size": 6, "moves": 4, "solution": ["D<3", "F>2", "Cv2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBCooAAoCoooooDDDEEFFooGooHooGooHII\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<3,F>2,Cv2,A>4\n"]}} {"board": "oooBBBooooCoAAooCoDDEFGHoIEFGHoIEFGH", "size": 6, "moves": 3, "solution": ["B<2", "C^1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBooooCoAAooCoDDEFGHoIEFGHoIEFGH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,C^1,A>4\n"]}} {"board": "oooBoooooBoooooCCCDDDoEoAAooEoooooEo", "size": 6, "moves": 3, "solution": ["C<2", "E^2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoooooBoooooCCCDDDoEoAAooEoooooEo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,E^2,A>4\n"]}} {"board": "oooBBBCoDDDoCAAEoooooEoFoGGGoFoHHIII", "size": 6, "moves": 3, "solution": ["G<1", "Ev1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBCoDDDoCAAEoooooEoFoGGGoFoHHIII\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,Ev1,A>3\n"]}} {"board": "BCoooDBCAAoDEEFFFDGGHHHoIooJJJIKKLLL", "size": 6, "moves": 3, "solution": ["J<1", "Dv2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BCoooDBCAAoDEEFFFDGGHHHoIooJJJIKKLLL\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nJ<1,Dv2,A>2\n"]}} {"board": "oooBBBoooooCooDDDCoooooCoooooEAAoooE", "size": 6, "moves": 4, "solution": ["B<1", "C^1", "E^1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBoooooCooDDDCoooooCoooooEAAoooE\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,C^1,E^1,A>4\n"]}} {"board": "ooooooooBBBooooooooAAoCoooooCoooooCo", "size": 6, "moves": 3, "solution": ["B<1", "C^3", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooBBBooooooooAAoCoooooCoooooCo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,C^3,A>3\n"]}} {"board": "ooooooooooBoAAooBCDoEoBCDoEooCDoEooo", "size": 6, "moves": 3, "solution": ["Bv2", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooBoAAooBCDoEoBCDoEooCDoEooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,Bv1,A>4\n"]}} {"board": "ooooooBooooCBooAACDDDooCoEEFFooGGHHH", "size": 6, "moves": 4, "solution": ["G<1", "H<1", "Cv2", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooBooooCBooAACDDDooCoEEFFooGGHHH\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,H<1,Cv2,A>1\n"]}} {"board": "ooBoooCDBEEECDoooFCDoooFGoAAoFGHHIII", "size": 6, "moves": 4, "solution": ["Bv2", "D<1", "F^1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoooCDBEEECDoooFCDoooFGoAAoFGHHIII\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,D<1,F^1,A>2\n"]}} {"board": "BCDDDoBCoEEEoCFFFGooHAAGIIHoJGooHoJo", "size": 6, "moves": 3, "solution": ["E<1", "G^2", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BCDDDoBCoEEEoCFFFGooHAAGIIHoJGooHoJo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,G^2,A>1\n"]}} {"board": "ooooooooBoooooBoCoAABoCDooooCDoooooD", "size": 6, "moves": 4, "solution": ["B^1", "C^2", "D^3", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooBoooooBoCoAABoCDooooCDoooooD\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,C^2,D^3,A>4\n"]}} {"board": "AAooBCooooBCooooBCooooDDoooooooooooo", "size": 6, "moves": 4, "solution": ["D<2", "Bv1", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAooBCooooBCooooBCooooDDoooooooooooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<2,Bv1,Bv1,A>4\n"]}} {"board": "BoCCCoBDEFFFoDEGGGHDoIIIHJoooKHJAAoK", "size": 6, "moves": 3, "solution": ["I<1", "K^1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoCCCoBDEFFFoDEGGGHDoIIIHJoooKHJAAoK\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nI<1,K^1,A>2\n"]}} {"board": "oooooooooooBAAoCoBoooCDDoooooooooooo", "size": 6, "moves": 3, "solution": ["B^1", "C^2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooBAAoCoBoooCDDoooooooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,C^2,A>4\n"]}} {"board": "oBBBoooAAoCDooEFCDGoEFCDGHHFooGoIIoo", "size": 6, "moves": 3, "solution": ["Cv1", "Cv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBoooAAoCDooEFCDGoEFCDGHHFooGoIIoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Cv1,A>3\n"]}} {"board": "ooAAoBCooooBCooDDDCoooooooooEEooooFF", "size": 6, "moves": 3, "solution": ["D<1", "Bv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAAoBCooooBCooDDDCoooooooooEEooooFF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv1,A>2\n"]}} {"board": "AABoooCCBoDDooBEEooFFoooGGGHoooooHoo", "size": 6, "moves": 3, "solution": ["F<1", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AABoooCCBoDDooBEEooFFoooGGGHoooooHoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Bv1,A>4\n"]}} {"board": "oooooooooooBCooooBCooDEBCAADEooooDEo", "size": 6, "moves": 3, "solution": ["D^2", "E^2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooBCooooBCooDEBCAADEooooDEo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,E^2,A>3\n"]}} {"board": "BooAACBooooCBooooDoEoFFDoEoGoDoEoGoo", "size": 6, "moves": 3, "solution": ["Dv1", "Cv1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BooAACBooooCBooooDoEoFFDoEoGoDoEoGoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,Cv1,A>1\n"]}} {"board": "oooooooooooooooooooooBBBooooCoooAACo", "size": 6, "moves": 3, "solution": ["B<2", "C^1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooooooooooooBBBooooCoooAACo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,C^1,A>2\n"]}} {"board": "ooooBoooAABooooCCoooooDDEFoGGGEFoHHo", "size": 6, "moves": 4, "solution": ["C<1", "D<2", "Bv2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoooAABooooCCoooooDDEFoGGGEFoHHo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,D<2,Bv2,A>2\n"]}} {"board": "AAoooBoooooBoooooBooCCDDoooEEEFFGGGo", "size": 6, "moves": 4, "solution": ["C<1", "D<1", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoooBoooooBoooooBooCCDDoooEEEFFGGGo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,D<1,Bv1,A>4\n"]}} {"board": "ooooooAABooCooBooCoooDEooooDEoFFFDEo", "size": 6, "moves": 3, "solution": ["Bv1", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooAABooCooBooCoooDEooooDEoFFFDEo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>4\n"]}} {"board": "oooooooooooooooBBBooCAADooCooDooCEEE", "size": 6, "moves": 3, "solution": ["B<1", "D^2", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooooooBBBooCAADooCooDooCEEE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,D^2,A>1\n"]}} {"board": "oooooooBBBooooooCooooDCoAAoDCooooDoo", "size": 6, "moves": 4, "solution": ["B<1", "C^1", "D^2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooBBBooooooCooooDCoAAoDCooooDoo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,C^1,D^2,A>4\n"]}} {"board": "oooooooBoooooBoooCAAooDCEFFoDoEooooo", "size": 6, "moves": 3, "solution": ["C^1", "D^2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooBoooooBoooCAAooDCEFFoDoEooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^2,A>4\n"]}} {"board": "ooooBoooooBooAAoBooCCCooooDDDooooooo", "size": 6, "moves": 3, "solution": ["D<1", "Bv3", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoooooBooAAoBooCCCooooDDDooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv3,A>3\n"]}} {"board": "BoooooBooAACBooDDCoEEooCooooFFooooGG", "size": 6, "moves": 3, "solution": ["F<1", "Cv1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoooooBooAACBooDDCoEEooCooooFFooooGG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Cv1,A>1\n"]}} {"board": "ooBCooAABCooooBCDDoEoooooEooFooEGGFo", "size": 6, "moves": 3, "solution": ["Bv2", "Bv2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBCooAABCooooBCDDoEoooooEooFooEGGFo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,Bv2,A>4\n"]}} {"board": "ooooooooooBooAACBoDooCBEDooooEDFFFoE", "size": 6, "moves": 3, "solution": ["Bv2", "B^2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooBooAACBoDooCBEDooooEDFFFoE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,B^2,A>3\n"]}} {"board": "ooBooCooBooCAAooDEooooDEooooDooooooo", "size": 6, "moves": 3, "solution": ["Dv1", "Dv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBooCooBooCAAooDEooooDEooooDooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,Dv1,A>4\n"]}} {"board": "ooooooBBBCoooAACDoooooDoooooDoEEEooo", "size": 6, "moves": 3, "solution": ["C^1", "Dv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooBBBCoooAACDoooooDoooooDoEEEooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,Dv1,A>3\n"]}} {"board": "BBBooCooAADCoooEDCoooEoooooooooooFFF", "size": 6, "moves": 3, "solution": ["Cv2", "Cv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBooCooAADCoooEDCoooEoooooooooooFFF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,Cv1,A>2\n"]}} {"board": "ooBoooooBoooAABooooCoDDDECooooECFFFo", "size": 6, "moves": 3, "solution": ["F>1", "Bv3", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoooooBoooAABooooCoDDDECooooECFFFo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF>1,Bv3,A>4\n"]}} {"board": "ooBCCCAABoooooDDoooooooooooooooooEEE", "size": 6, "moves": 3, "solution": ["D<2", "Bv2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBCCCAABoooooDDoooooooooooooooooEEE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<2,Bv2,A>4\n"]}} {"board": "oooooooooooooooBBBCoooooCooAADCooooD", "size": 6, "moves": 3, "solution": ["B<1", "D^2", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooooooBBBCoooooCooAADCooooD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,D^2,A>1\n"]}} {"board": "ooooooBooCCCBoooDoBoooDoAAooDoEEEFFF", "size": 6, "moves": 3, "solution": ["C<2", "D^1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooBooCCCBoooDoBoooDoAAooDoEEEFFF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,D^1,A>4\n"]}} {"board": "oooooooooBBBCCCooDoEAAoDoEooFDoEooFo", "size": 6, "moves": 3, "solution": ["B<1", "D^2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBBBCCCooDoEAAoDoEooFDoEooFo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,D^2,A>2\n"]}} {"board": "oooBoooooBooCAABDoCoooDooooooooooooo", "size": 6, "moves": 3, "solution": ["Bv3", "C^2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoooooBooCAABDoCoooDooooooooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv3,C^2,A>3\n"]}} {"board": "ooBoooCoBoooCDBoooCDoEoFoAAEoFoooEGG", "size": 6, "moves": 3, "solution": ["E^2", "F^1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoooCoBoooCDBoooCDoEoFoAAEoFoooEGG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^2,F^1,A>3\n"]}} {"board": "AAoBCooooBCooooDCooEEDoooFGooHoFGIIH", "size": 6, "moves": 4, "solution": ["Cv1", "Dv1", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoBCooooBCooooDCooEEDoooFGooHoFGIIH\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Dv1,Bv1,A>4\n"]}} {"board": "BoAAoCBDDEoCoooEoCoFGoHHoFGooooFGIIo", "size": 6, "moves": 3, "solution": ["H<1", "Cv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoAAoCBDDEoCoooEoCoFGoHHoFGooooFGIIo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nH<1,Cv1,A>2\n"]}} {"board": "oooBBBoooCoooooCooDoAAoEDooooEoooooE", "size": 6, "moves": 3, "solution": ["B<1", "E^3", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBoooCoooooCooDoAAoEDooooEoooooE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,E^3,A>2\n"]}} {"board": "BBBoCoooooCoooooCoooDooEAADooEFFDooE", "size": 6, "moves": 3, "solution": ["D^2", "E^2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBoCoooooCoooooCoooDooEAADooEFFDooE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,E^2,A>4\n"]}} {"board": "oooooBooCCCBAAoooBooooooDDoooooooEEE", "size": 6, "moves": 3, "solution": ["E<1", "Bv3", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBooCCCBAAoooBooooooDDoooooooEEE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv3,A>4\n"]}} {"board": "ooBBBoooooCooAAoCoDEEFFFDooGGGDoHHoo", "size": 6, "moves": 3, "solution": ["B<1", "C^1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBoooooCooAAoCoDEEFFFDooGGGDoHHoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,C^1,A>3\n"]}} {"board": "ooooooooooBoAAoCBDoEECBDoooFoDoooFoo", "size": 6, "moves": 4, "solution": ["Bv2", "B^2", "Cv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooBoAAoCBDoEECBDoooFoDoooFoo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,B^2,Cv1,A>4\n"]}} {"board": "oBBBoCDDDooCoooooCAAoEooFFFEoGoooEoG", "size": 6, "moves": 3, "solution": ["B<1", "E^3", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBoCDDDooCoooooCAAoEooFFFEoGoooEoG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,E^3,A>4\n"]}} {"board": "BoAACoBoooCooooDEEoooDooFFoooooooGGG", "size": 6, "moves": 4, "solution": ["Dv1", "D<2", "Cv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoAACoBoooCooooDEEoooDooFFoooooooGGG\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,D<2,Cv1,A>2\n"]}} {"board": "BooooCBDDDoCoAAooCoooEEEoooooooooooo", "size": 6, "moves": 3, "solution": ["E<1", "Cv3", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BooooCBDDDoCoAAooCoooEEEoooooooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Cv3,A>3\n"]}} {"board": "ooAABCDDDoBCEEoooCoooFFFGGGoHHIIooJJ", "size": 6, "moves": 4, "solution": ["Bv1", "F<1", "Bv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAABCDDDoBCEEoooCoooFFFGGGoHHIIooJJ\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,F<1,Bv1,A>2\n"]}} {"board": "ooAAoBCCCooBooDDEFGGooEFHIIoEoHJJJoo", "size": 6, "moves": 3, "solution": ["Fv1", "Bv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAAoBCCCooBooDDEFGGooEFHIIoEoHJJJoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nFv1,Bv1,A>2\n"]}} {"board": "oAAooBooCooBDDCEEBooCoFFGGGHHHIIJJoo", "size": 6, "moves": 3, "solution": ["F<1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAooBooCooBDDCEEBooCoFFGGGHHHIIJJoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Bv1,A>3\n"]}} {"board": "ooooBoooAABCoDEEoCoDoooCoDoFFFoGGGHH", "size": 6, "moves": 4, "solution": ["Bv2", "F<1", "Bv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoooAABCoDEEoCoDoooCoDoFFFoGGGHH\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,F<1,Bv1,A>2\n"]}} {"board": "BooooCBooAACoooooCDoooEEDFooooDFGGGo", "size": 6, "moves": 3, "solution": ["E<1", "Cv2", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BooooCBooAACoooooCDoooEEDFooooDFGGGo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Cv2,A>1\n"]}} {"board": "oooBBBooAACDooEoCDoFEoCDoFoGGooFHHHo", "size": 6, "moves": 4, "solution": ["Dv1", "G<1", "Cv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBooAACDooEoCDoFEoCDoFoGGooFHHHo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,G<1,Cv1,A>2\n"]}} {"board": "AABooCooBooCDoBEoCDooEooDooEFFGGGoHH", "size": 6, "moves": 3, "solution": ["Bv1", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AABooCooBooCDoBEoCDooEooDooEFFGGGoHH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>4\n"]}} {"board": "oooooooAAoBoooooBoooCCDDoooooooEEEoo", "size": 6, "moves": 4, "solution": ["C<2", "D<2", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooAAoBoooooBoooCCDDoooooooEEEoo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,D<2,Bv1,A>3\n"]}} {"board": "oooooBoAAooBCCDDoBooEoFFooEoooooEooo", "size": 6, "moves": 3, "solution": ["F<1", "Bv2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoAAooBCCDDoBooEoFFooEoooooEooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Bv2,A>3\n"]}} {"board": "ooBoooooBoCooDDDCoEAAoCFEoGGoFooHHHF", "size": 6, "moves": 3, "solution": ["C^1", "F^3", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoooooBoCooDDDCoEAAoCFEoGGoFooHHHF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,F^3,A>3\n"]}} {"board": "oooooooBoooCDBoooCDooEoooAAEFoooooFo", "size": 6, "moves": 3, "solution": ["E^1", "F^2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooBoooCDBoooCDooEoooAAEFoooooFo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,F^2,A>3\n"]}} {"board": "BooCCCBooooDBooooDoAAooDoooooooooooo", "size": 6, "moves": 3, "solution": ["C<1", "D^1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BooCCCBooooDBooooDoAAooDoooooooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,D^1,A>3\n"]}} {"board": "AAoBoooooBCCooDDDoooooEFooooEFooooEF", "size": 6, "moves": 3, "solution": ["D<2", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoBoooooBCCooDDDoooooEFooooEFooooEF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<2,Bv1,A>4\n"]}} {"board": "AABoooCoBoDDCEEEooCoooFFoooGGGoooooo", "size": 6, "moves": 3, "solution": ["E>2", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AABoooCoBoDDCEEEooCoooFFoooGGGoooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE>2,Bv1,A>4\n"]}} {"board": "ooooooooBBBoooAACDooEFCDooEFooGGEooo", "size": 6, "moves": 3, "solution": ["Cv1", "C^2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooBBBoooAACDooEFCDooEFooGGEooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,C^2,A>2\n"]}} {"board": "BAACooBooCooBDEEoooDoooFooGooFooGooF", "size": 6, "moves": 3, "solution": ["E>2", "Cv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BAACooBooCooBDEEoooDoooFooGooFooGooF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE>2,Cv1,A>3\n"]}} {"board": "oooBoCDDDBoCoooBoEoAAoFEGGGoFoooooFo", "size": 6, "moves": 3, "solution": ["Ev2", "E^3", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoCDDDBoCoooBoEoAAoFEGGGoFoooooFo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv2,E^3,A>3\n"]}} {"board": "oooBBBooooooooCCCooooDoooooDoooAADoo", "size": 6, "moves": 3, "solution": ["C<2", "D^1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBooooooooCCCooooDoooooDoooAADoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,D^1,A>3\n"]}} {"board": "BoooooBoooooooooCooooDCooAADoEoooDoE", "size": 6, "moves": 3, "solution": ["D^2", "E^2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoooooBoooooooooCooooDCooAADoEoooDoE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,E^2,A>3\n"]}} {"board": "ooBoooooBCooDDDCooooooEooAAFEooooFEo", "size": 6, "moves": 4, "solution": ["C^1", "E^2", "F^2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoooooBCooDDDCooooooEooAAFEooooFEo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,E^2,F^2,A>3\n"]}} {"board": "ooBoooAABooooCCCoooooooooooDDooooooo", "size": 6, "moves": 3, "solution": ["C>2", "Bv2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoooAABooooCCCoooooooooooDDooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC>2,Bv2,A>4\n"]}} {"board": "oooBooAAoBooooooooCoDDDoCooooEoooooE", "size": 6, "moves": 4, "solution": ["Cv1", "C<2", "Bv2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBooAAoBooooooooCoDDDoCooooEoooooE\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,C<2,Bv2,A>4\n"]}} {"board": "oooAABoooooBoCCDDDoooEoFooGEoFooGEoo", "size": 6, "moves": 4, "solution": ["C<1", "D<1", "Bv1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooAABoooooBoCCDDDoooEoFooGEoFooGEoo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,D<1,Bv1,A>1\n"]}} {"board": "ooBBBoooCCCoAAoDoEFooDoEFooooooGGHHH", "size": 6, "moves": 3, "solution": ["Dv1", "D^2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBoooCCCoAAoDoEFooDoEFooooooGGHHH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,D^2,A>4\n"]}} {"board": "oAABooooCBDEooCBDEoooFFFGGHIIIooHooo", "size": 6, "moves": 3, "solution": ["F<3", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAABooooCBDEooCBDEoooFFFGGHIIIooHooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<3,Bv1,A>3\n"]}} {"board": "oooBBBoooooooooooooAACoooooCoooooCoo", "size": 6, "moves": 3, "solution": ["B<3", "C^3", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBoooooooooooooAACoooooCoooooCoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<3,C^3,A>3\n"]}} {"board": "BBBoooooAACooDDoCoooooCooooEEEooooFF", "size": 6, "moves": 3, "solution": ["E<2", "Cv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBoooooAACooDDoCoooooCooooEEEooooFF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<2,Cv1,A>2\n"]}} {"board": "BoAACoBoooCoBooDDEFFFooEoooGGGHHHIIo", "size": 6, "moves": 3, "solution": ["D<1", "Cv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoAACoBoooCoBooDDEFFFooEoooGGGHHHIIo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Cv1,A>2\n"]}} {"board": "oAAooBoooooBCoDDDBCoEEFFCGGHHHIIoJJJ", "size": 6, "moves": 4, "solution": ["E<1", "F<1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAooBoooooBCoDDDBCoEEFFCGGHHHIIoJJJ\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,F<1,Bv1,A>3\n"]}} {"board": "BoooooBoooooBooooooooCCCoooDoooAADoo", "size": 6, "moves": 3, "solution": ["C<3", "D^1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoooooBoooooBooooooooCCCoooDoooAADoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<3,D^1,A>3\n"]}} {"board": "oooooBoooAABoooCCCooooooooDDooEEEooo", "size": 6, "moves": 3, "solution": ["C<1", "Bv2", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoooAABoooCCCooooooooDDooEEEooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,Bv2,A>1\n"]}} {"board": "oooooooooBooAACBooooCoooooooooooooDD", "size": 6, "moves": 3, "solution": ["B^1", "C^2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBooAACBooooCoooooooooooooDD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,C^2,A>4\n"]}} {"board": "ooBBBCooDooCooDoEoooDFEooAAFEoGGoFoo", "size": 6, "moves": 3, "solution": ["E^1", "F^2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBCooDooCooDoEoooDFEooAAFEoGGoFoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,F^2,A>3\n"]}} {"board": "oooooooBBBoooooooCoooDoCEooDoFEooAAF", "size": 6, "moves": 3, "solution": ["C^1", "F^1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooBBBoooooooCoooDoCEooDoFEooAAF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,F^1,A>1\n"]}} {"board": "ooooooooooooooooBCDoAABCDoEoBFDoEooF", "size": 6, "moves": 3, "solution": ["B^2", "C^1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooooooooBCDoAABCDoEoBFDoEooF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^2,C^1,A>2\n"]}} {"board": "AAoBCoDDoBCoEEEBCFoGGGoFHooIIIHoooJJ", "size": 6, "moves": 4, "solution": ["Cv1", "G<1", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoBCoDDoBCoEEEBCFoGGGoFHooIIIHoooJJ\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,G<1,Bv1,A>4\n"]}} {"board": "oBCDDDoBCooEoBCAAEFFoGGGHHHoIIooJJoo", "size": 6, "moves": 4, "solution": ["Cv1", "C<1", "E^1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBCDDDoBCooEoBCAAEFFoGGGHHHoIIooJJoo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,C<1,E^1,A>1\n"]}} {"board": "oBCooooBCDEooBCDEFGoAAEFGHHIoFJJoIoo", "size": 6, "moves": 3, "solution": ["E^1", "F^2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBCooooBCDEooBCDEFGoAAEFGHHIoFJJoIoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,F^2,A>2\n"]}} {"board": "AABoooooBoooooCCCoooooooDoEoFFDoEooo", "size": 6, "moves": 3, "solution": ["C>1", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AABoooooBoooooCCCoooooooDoEoFFDoEooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC>1,Bv1,A>4\n"]}} {"board": "oooooBoAAooBoooooBoooCCCoooooooDDEEE", "size": 6, "moves": 3, "solution": ["C<1", "Bv2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoAAooBoooooBoooCCCoooooooDDEEE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,Bv2,A>3\n"]}} {"board": "oooBBBoAAooCoooDDCEEoFFFGGoHHoIIIoJJ", "size": 6, "moves": 3, "solution": ["F<1", "Cv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBoAAooCoooDDCEEoFFFGGoHHoIIIoJJ\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Cv1,A>3\n"]}} {"board": "oooooBooooCBooAACBooDoEoFoDoEoFoDoEo", "size": 6, "moves": 3, "solution": ["Bv3", "B^1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBooooCBooAACBooDoEoFoDoEoFoDoEo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv3,B^1,A>2\n"]}} {"board": "ooBBBoAACoooooCDDDooEEooFoGGHoFoooHo", "size": 6, "moves": 3, "solution": ["E<2", "Cv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBoAACoooooCDDDooEEooFoGGHoFoooHo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<2,Cv1,A>4\n"]}} {"board": "oooooooooooooooBoCoAABoCoooBDoooooDo", "size": 6, "moves": 3, "solution": ["B^2", "C^1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooooooBoCoAABoCoooBDoooooDo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^2,C^1,A>3\n"]}} {"board": "BCoAADBCEooDBFEGGGoFoHHHoFIIoooJJKKK", "size": 6, "moves": 4, "solution": ["E^1", "G<1", "Ev1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BCoAADBCEooDBFEGGGoFoHHHoFIIoooJJKKK\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,G<1,Ev1,A>1\n"]}} {"board": "AAoBooCCoBoooooBoooDDDoEoooFFEoGGGoE", "size": 6, "moves": 3, "solution": ["D<1", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoBooCCoBoooooBoooDDDoEoooFFEoGGGoE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv1,A>4\n"]}} {"board": "oooooBoooAABooCCoBooDDooooooEEooooFF", "size": 6, "moves": 3, "solution": ["E<1", "Bv2", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoooAABooCCoBooDDooooooEEooooFF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv2,A>1\n"]}} {"board": "ooooooooBoCoooBoCDoEAACDoEoFFDoEooGG", "size": 6, "moves": 3, "solution": ["C^1", "D^2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooBoCoooBoCDoEAACDoEoFFDoEooGG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^2,A>2\n"]}} {"board": "oooooooooooooooooooooBCDAAoBCDooooCo", "size": 6, "moves": 4, "solution": ["B^1", "C^2", "D^1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooooooooooooBCDAAoBCDooooCo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,C^2,D^1,A>4\n"]}} {"board": "AAoooBCCCDDBoEEFoGHooFIGHJJJIGooooIo", "size": 6, "moves": 3, "solution": ["Gv1", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoooBCCCDDBoEEFoGHooFIGHJJJIGooooIo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nGv1,Bv1,A>4\n"]}} {"board": "AAoBooCCCBDDooEFFFooEGHHooEGIooooGIo", "size": 6, "moves": 4, "solution": ["Ev1", "E<3", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoBooCCCBDDooEFFFooEGHHooEGIooooGIo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,E<3,Bv1,A>4\n"]}} {"board": "oooBoooooBooooCooDAACoEDooooEDooooEo", "size": 6, "moves": 4, "solution": ["C^1", "D^2", "E^3", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoooooBooooCooDAACoEDooooEDooooEo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^2,E^3,A>4\n"]}} {"board": "oooAABooCCoBoooDDDEoooFGEoooFGEoooFG", "size": 6, "moves": 3, "solution": ["D<1", "Bv1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooAABooCCoBoooDDDEoooFGEoooFGEoooFG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv1,A>1\n"]}} {"board": "BoAAoCBoDDoCBEEooCoooFFFoGoHoooGoHoo", "size": 6, "moves": 3, "solution": ["F<1", "Cv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoAAoCBoDDoCBEEooCoooFFFoGoHoooGoHoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Cv1,A>2\n"]}} {"board": "BBBooCoooooCAAoDEooooDEFoGGoEFHHHooF", "size": 6, "moves": 3, "solution": ["D^2", "Ev1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBooCoooooCAAoDEooooDEFoGGoEFHHHooF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,Ev1,A>4\n"]}} {"board": "BCoooDBCoAADoooooDEEEFFooGooHHoGIIIo", "size": 6, "moves": 3, "solution": ["H<1", "Dv2", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BCoooDBCoAADoooooDEEEFFooGooHHoGIIIo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nH<1,Dv2,A>1\n"]}} {"board": "ooBBBoooooCoooooCoooAACoooooDoooooDo", "size": 6, "moves": 3, "solution": ["B<1", "C^1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBoooooCoooooCoooAACoooooDoooooDo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,C^1,A>2\n"]}} {"board": "oooooooooooooooBBBAACoDoooCoDoooEEEo", "size": 6, "moves": 4, "solution": ["C^2", "E<1", "Dv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooooooBBBAACoDoooCoDoooEEEo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,E<1,Dv1,A>4\n"]}} {"board": "ooBoooooBoooooBooooAACoDoooCoDEEECoo", "size": 6, "moves": 3, "solution": ["C^3", "D^2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoooooBoooooBooooAACoDoooCoDEEECoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^3,D^2,A>3\n"]}} {"board": "oooooooooooBooAACBDDEECFGGooHFooooHo", "size": 6, "moves": 3, "solution": ["B^1", "C^2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooBooAACBDDEECFGGooHFooooHo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,C^2,A>2\n"]}} {"board": "oooAABCooooBCooooBDEoFFFDEoGGoDoHHHo", "size": 6, "moves": 3, "solution": ["F<1", "Bv1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooAABCooooBCooooBDEoFFFDEoGGoDoHHHo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Bv1,A>1\n"]}} {"board": "oooooooooooooAAooBoooooBoCCooBoooDDD", "size": 6, "moves": 3, "solution": ["D<1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooooAAooBoooooBoCCooBoooDDD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv1,A>3\n"]}} {"board": "oooBBBoooooCoooooCAAoooCooooDDoooooo", "size": 6, "moves": 3, "solution": ["B<1", "C^1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBoooooCoooooCAAoooCooooDDoooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,C^1,A>4\n"]}} {"board": "ooBBBooooCCCDEEEFoDGGGFHIoAAFHIJJJoH", "size": 6, "moves": 4, "solution": ["C<2", "F^1", "H^2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBooooCCCDEEEFoDGGGFHIoAAFHIJJJoH\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,F^1,H^2,A>2\n"]}} {"board": "AABCDoooBCDoooBCooEEoooooooFFFoGGGHH", "size": 6, "moves": 4, "solution": ["Bv1", "Bv1", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AABCDoooBCDoooBCooEEoooooooFFFoGGGHH\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,Bv1,A>4\n"]}} {"board": "BooCooBooCDEBFooDEoFAADEGGGHHoIIoJJJ", "size": 6, "moves": 3, "solution": ["D^1", "E^1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BooCooBooCDEBFooDEoFAADEGGGHHoIIoJJJ\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E^1,A>2\n"]}} {"board": "oBoCDooBoCDooooCEoAAFoEoooFGGGoHHooo", "size": 6, "moves": 4, "solution": ["F^2", "G<2", "Fv2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoCDooBoCDooooCEoAAFoEoooFGGGoHHooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^2,G<2,Fv2,A>4\n"]}} {"board": "oBoCCCoBoDDDooAAoEFGoHoEFGIHoJFGIHoJ", "size": 6, "moves": 4, "solution": ["C<1", "D<1", "E^2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoCCCoBoDDDooAAoEFGoHoEFGIHoJFGIHoJ\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,D<1,E^2,A>2\n"]}} {"board": "oooBoooAABCoooooCooDDoCooEoooooEoooo", "size": 6, "moves": 3, "solution": ["Bv2", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoooAABCoooooCooDDoCooEoooooEoooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,Bv1,A>3\n"]}} {"board": "oAAoBoooooBoooooCCDDEEEooFFGGGHHoIII", "size": 6, "moves": 3, "solution": ["C<2", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAoBoooooBoooooCCDDEEEooFFGGGHHoIII\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,Bv1,A>3\n"]}} {"board": "oooBBBoooCCCooDDDooooEoooAAEoooooEoo", "size": 6, "moves": 4, "solution": ["C<3", "D<2", "E^2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBoooCCCooDDDooooEoooAAEoooooEoo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<3,D<2,E^2,A>3\n"]}} {"board": "AAoBCooooBCooooDDDoEoFFFoEGGHHoEoooo", "size": 6, "moves": 4, "solution": ["D<3", "Bv1", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoBCooooBCooooDDDoEoFFFoEGGHHoEoooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<3,Bv1,Bv1,A>4\n"]}} {"board": "oooBBBoooooooooooooAAoCDEEEoCDoFFFCD", "size": 6, "moves": 4, "solution": ["B<2", "C^3", "D^3", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBoooooooooooooAAoCDEEEoCDoFFFCD\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,C^3,D^3,A>3\n"]}} {"board": "ooooooBoooCoBoAACooDDoCooooEEEoooooo", "size": 6, "moves": 3, "solution": ["E<2", "Cv2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooBoooCoBoAACooDDoCooooEEEoooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<2,Cv2,A>2\n"]}} {"board": "oooBoooooBoooooCCCoAAooDoooooDoooEED", "size": 6, "moves": 3, "solution": ["C<1", "D^3", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoooooBoooooCCCoAAooDoooooDoooEED\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,D^3,A>3\n"]}} {"board": "oBooooCBoDDDCoEoooFoEGGGFooAAHoIIooH", "size": 6, "moves": 4, "solution": ["E^1", "G<1", "H^2", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBooooCBoDDDCoEoooFoEGGGFooAAHoIIooH\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,G<1,H^2,A>1\n"]}} {"board": "BooCCCBoooDoBoooDoooEFFFAAEooGooEooG", "size": 6, "moves": 4, "solution": ["E^3", "F<1", "G^2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BooCCCBoooDoBoooDoooEFFFAAEooGooEooG\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^3,F<1,G^2,A>4\n"]}} {"board": "oBBBoooAACDooooCDooooCooEEoooooooFFF", "size": 6, "moves": 3, "solution": ["Cv1", "Cv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBoooAACDooooCDooooCooEEoooooooFFF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Cv1,A>3\n"]}} {"board": "oooooooBooCooBooCoooooDoooooDooAAoDo", "size": 6, "moves": 3, "solution": ["C^1", "D^1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooBooCooBooCoooooDoooooDooAAoDo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^1,A>3\n"]}} {"board": "ooBCDoAABCDooooCDoEoooooEoooooEooooo", "size": 6, "moves": 4, "solution": ["Bv2", "Bv2", "Bv2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBCDoAABCDooooCDoEoooooEoooooEooooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,Bv2,Bv2,A>4\n"]}} {"board": "oooooooAAoBoooooBooCooBooCDoEEoCDooo", "size": 6, "moves": 4, "solution": ["D^2", "E<2", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooAAoBoooooBooCooBooCDoEEoCDooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,E<2,Bv1,A>3\n"]}} {"board": "BooCCCBooDooBAADoooEEoFFoooGoooHHGoo", "size": 6, "moves": 4, "solution": ["Bv1", "B<3", "D^1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BooCCCBooDooBAADoooEEoFFoooGoooHHGoo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,B<3,D^1,A>3\n"]}} {"board": "oooooooooBooAAoBCDoooBCDoooooDoooooo", "size": 6, "moves": 4, "solution": ["Bv2", "B^2", "Cv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBooAAoBCDoooBCDoooooDoooooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,B^2,Cv1,A>4\n"]}} {"board": "oAABCoooDBCoooDoCoooEEooooooFFoooooo", "size": 6, "moves": 3, "solution": ["Bv1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAABCoooDBCoooDoCoooEEooooooFFoooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>3\n"]}} {"board": "ooAABoCCCoBDoooEEDFGHHHDFGIooooGIoJJ", "size": 6, "moves": 3, "solution": ["E<1", "Bv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAABoCCCoBDoooEEDFGHHHDFGIooooGIoJJ\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv1,A>2\n"]}} {"board": "AABooCooBDoCooBDoooEEFFFoooooGoooooG", "size": 6, "moves": 4, "solution": ["Cv1", "E<1", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AABooCooBDoCooBDoooEEFFFoooooGoooooG\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,E<1,Bv1,A>4\n"]}} {"board": "AAoooBooCCoBoooooBooDEEEooDFFFooooGG", "size": 6, "moves": 4, "solution": ["Dv1", "D<1", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoooBooCCoBoooooBooDEEEooDFFFooooGG\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,D<1,Bv1,A>4\n"]}} {"board": "BBBCoooAACoooooCoooooDDDoooEEoooFFFo", "size": 6, "moves": 4, "solution": ["D<3", "E<2", "Cv2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBCoooAACoooooCoooooDDDoooEEoooFFFo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<3,E<2,Cv2,A>3\n"]}} {"board": "oooBBBoooooooAAoCooDDDCEooooCEoooFFo", "size": 6, "moves": 3, "solution": ["F<1", "Cv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBoooooooAAoCooDDDCEooooCEoooFFo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Cv1,A>3\n"]}} {"board": "ooooooooooooBooooCBooDoCoAADoCoooDoo", "size": 6, "moves": 3, "solution": ["C^1", "D^2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooooBooooCBooDoCoAADoCoooDoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^2,A>3\n"]}} {"board": "BoooCDBAAoCDBoooEEooFFooGHHIIoGooJJJ", "size": 6, "moves": 4, "solution": ["E<2", "Cv2", "Cv2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoooCDBAAoCDBoooEEooFFooGHHIIoGooJJJ\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<2,Cv2,Cv2,A>3\n"]}} {"board": "ooooooBooCooBooCDoAAoCDoooooDooooooo", "size": 6, "moves": 3, "solution": ["C^1", "D^2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooBooCooBooCDoAAoCDoooooDooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^2,A>4\n"]}} {"board": "BCoDooBCoDooBCoDoooAAEoooooEoFooGGGF", "size": 6, "moves": 3, "solution": ["G<2", "Ev1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BCoDooBCoDooBCoDoooAAEoooooEoFooGGGF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<2,Ev1,A>3\n"]}} {"board": "ooooooooooooAAooBoooooBoCCCoBooooDDD", "size": 6, "moves": 3, "solution": ["D<2", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooooAAooBoooooBoCCCoBooooDDD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<2,Bv1,A>4\n"]}} {"board": "oBBBoooooooooCooDooCooDEoCAADEoooFFo", "size": 6, "moves": 3, "solution": ["D^1", "E^1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBoooooooooCooDooCooDEoCAADEoooFFo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E^1,A>2\n"]}} {"board": "oBAACooBooCooBoDDEFoGGoEFHHHoEFooIII", "size": 6, "moves": 3, "solution": ["D<1", "Cv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBAACooBooCooBoDDEFoGGoEFHHHoEFooIII\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Cv1,A>2\n"]}} {"board": "ooBooooCBooooCooDEAAooDEoFGGDooFHHoo", "size": 6, "moves": 3, "solution": ["D^2", "E^1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBooooCBooooCooDEAAooDEoFGGDooFHHoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,E^1,A>4\n"]}} {"board": "ooooooAABoooooBoooooBCCCooDDoooEEooo", "size": 6, "moves": 3, "solution": ["D<2", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooAABoooooBoooooBCCCooDDoooEEooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<2,Bv1,A>4\n"]}} {"board": "oBBBoooAACoooDoCoooDECoooFEGGHoFoooH", "size": 6, "moves": 4, "solution": ["H^2", "H>1", "Cv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBoooAACoooDoCoooDECoooFEGGHoFoooH\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nH^2,H>1,Cv1,A>3\n"]}} {"board": "oBBBooCCCooDEooAADEooooDEooooooooFFF", "size": 6, "moves": 3, "solution": ["F<1", "Dv2", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBooCCCooDEooAADEooooDEooooooooFFF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Dv2,A>1\n"]}} {"board": "oooooooooooooooBCDEooBCDEoAACDEooooo", "size": 6, "moves": 3, "solution": ["C^1", "D^1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooooooBCDEooBCDEoAACDEooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^1,A>2\n"]}} {"board": "oAAooBoooooBooooCCoooooooooDDDoEEooo", "size": 6, "moves": 3, "solution": ["C<1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAooBoooooBooooCCoooooooooDDDoEEooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,Bv1,A>3\n"]}} {"board": "BBBoCooAAoCooDooCooDoEEEFoGGooFooooo", "size": 6, "moves": 4, "solution": ["Dv2", "D<2", "Cv2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBoCooAAoCooDooCooDoEEEFoGGooFooooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv2,D<2,Cv2,A>3\n"]}} {"board": "ooBBBooooCooAAoCoDoooCoDoooooDooEEoo", "size": 6, "moves": 4, "solution": ["Dv1", "E<1", "Cv2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBooooCooAAoCoDoooCoDoooooDooEEoo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,E<1,Cv2,A>4\n"]}} {"board": "oooooBAAoooBoooooooCoDDDoCEFFooCEooo", "size": 6, "moves": 3, "solution": ["D<1", "Bv2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBAAoooBoooooooCoDDDoCEFFooCEooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv2,A>4\n"]}} {"board": "oAAoBCDDDoBCEoooBoEFFFooEGoHHHoGoooo", "size": 6, "moves": 3, "solution": ["Bv1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAoBCDDDoBCEoooBoEFFFooEGoHHHoGoooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>3\n"]}} {"board": "ooooBooAAoBooooCCooDDooooooooooooooo", "size": 6, "moves": 3, "solution": ["C<1", "Bv2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBooAAoBooooCCooDDooooooooooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,Bv2,A>3\n"]}} {"board": "AAoBCooooBCooooBDDooooEoooFoEoooFoEo", "size": 6, "moves": 4, "solution": ["Bv3", "C<2", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoBCooooBCooooBDDooooEoooFoEoooFoEo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv3,C<2,Bv1,A>4\n"]}} {"board": "BBBooCoDAAoCEDoooCEoooooEooFFFoooooo", "size": 6, "moves": 3, "solution": ["F<1", "Cv2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBooCoDAAoCEDoooCEoooooEooFFFoooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Cv2,A>2\n"]}} {"board": "oooAABCDEEEBCDoooBoDoFFFooGHHoIIGJJJ", "size": 6, "moves": 3, "solution": ["F<1", "Bv1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooAABCDEEEBCDoooBoDoFFFooGHHoIIGJJJ\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Bv1,A>1\n"]}} {"board": "oooooBoAAooBoooooBCCoDDDooEEoooooooo", "size": 6, "moves": 3, "solution": ["D<1", "Bv2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoAAooBoooooBCCoDDDooEEoooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv2,A>3\n"]}} {"board": "oooooBoCCCoBDDDooBAAoEoooooEFFoooEGG", "size": 6, "moves": 3, "solution": ["C<1", "E^3", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoCCCoBDDDooBAAoEoooooEFFoooEGG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,E^3,A>4\n"]}} {"board": "ooAAoBoooooBoCCoDDooooooEEoFFFoooGGG", "size": 6, "moves": 3, "solution": ["D<1", "Bv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAAoBoooooBoCCoDDooooooEEoFFFoooGGG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv1,A>2\n"]}} {"board": "oooBoooAABooooooCoooDDCEooooCEoooooE", "size": 6, "moves": 3, "solution": ["D<1", "Bv2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoooAABooooooCoooDDCEooooCEoooooE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv2,A>3\n"]}} {"board": "BoooooBoCCCooooDDDEooooFEoAAoFoooGGo", "size": 6, "moves": 3, "solution": ["D<1", "F^1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoooooBoCCCooooDDDEooooFEoAAoFoooGGo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,F^1,A>2\n"]}} {"board": "oBBBCoAAooCooooDDDEEFooGooFooGHHFooG", "size": 6, "moves": 3, "solution": ["D<2", "Cv2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBCoAAooCooooDDDEEFooGooFooGHHFooG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<2,Cv2,A>4\n"]}} {"board": "oooooooooooooooBoCoAABDCooooDoooooDo", "size": 6, "moves": 4, "solution": ["B^1", "C^1", "D^3", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooooooBoCoAABDCooooDoooooDo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,C^1,D^3,A>3\n"]}} {"board": "ooooBoooAABoooooBooooCCCooDDoooooooo", "size": 6, "moves": 3, "solution": ["C<2", "Bv2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoooAABoooooBooooCCCooDDoooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,Bv2,A>2\n"]}} {"board": "ooooooooAABoooooBoooooBoCoooDDCoooEE", "size": 6, "moves": 3, "solution": ["D<2", "Bv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooAABoooooBoooooBoCoooDDCoooEE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<2,Bv1,A>2\n"]}} {"board": "oooBooAAoBoooooooooooCCCoDooEEoDoooo", "size": 6, "moves": 3, "solution": ["C<3", "Bv2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBooAAoBoooooooooooCCCoDooEEoDoooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<3,Bv2,A>4\n"]}} {"board": "ooBBBoooooooooooCoAAooCooDDECooFFEoo", "size": 6, "moves": 3, "solution": ["B<1", "C^2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBoooooooooooCoAAooCooDDECooFFEoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,C^2,A>4\n"]}} {"board": "AABCooooBCooooooooooooooDEooooDEoooo", "size": 6, "moves": 3, "solution": ["Bv1", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AABCooooBCooooooooooooooDEooooDEoooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>4\n"]}} {"board": "ooooooooooooooooBCAADoBCEEDoBCooDFFF", "size": 6, "moves": 4, "solution": ["B^2", "C^2", "D^3", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooooooooBCAADoBCEEDoBCooDFFF\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^2,C^2,D^3,A>4\n"]}} {"board": "ooBBBCoDoooCoDoooooDAAEoFFGoEoooGoEo", "size": 6, "moves": 3, "solution": ["B<1", "E^3", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBCoDoooCoDoooooDAAEoFFGoEoooGoEo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,E^3,A>2\n"]}} {"board": "ooAABoooooBoooooBoooCCCooooDDDoooooo", "size": 6, "moves": 3, "solution": ["C<1", "Bv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAABoooooBoooooBoooCCCooooDDDoooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,Bv1,A>2\n"]}} {"board": "AAoooBCCDDDBooooEEFFFoGHIIoJGHKKoJGH", "size": 6, "moves": 3, "solution": ["E<1", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoooBCCDDDBooooEEFFFoGHIIoJGHKKoJGH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv1,A>4\n"]}} {"board": "oooBoooAABoooCoooooCoDDDooooooooEEoo", "size": 6, "moves": 4, "solution": ["Cv2", "C<3", "Bv2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoooAABoooCoooooCoDDDooooooooEEoo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,C<3,Bv2,A>3\n"]}} {"board": "BCCCooBooDooAAoDoEoooDoEFFoooGHHHooG", "size": 6, "moves": 3, "solution": ["Dv2", "D^2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BCCCooBooDooAAoDoEoooDoEFFoooGHHHooG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv2,D^2,A>4\n"]}} {"board": "oooooooooBoooooBoCAAoBoCoooooCoooooo", "size": 6, "moves": 3, "solution": ["B^1", "C^2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBoooooBoCAAoBoCoooooCoooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,C^2,A>4\n"]}} {"board": "AAoBooCCCBDDooEFGGHHEFoIooEFoIoooooI", "size": 6, "moves": 3, "solution": ["Fv1", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoBooCCCBDDooEFGGHHEFoIooEFoIoooooI\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nFv1,Bv1,A>4\n"]}} {"board": "AAooBCDDDoBCEEEooCFFFGoooooGoooooGoo", "size": 6, "moves": 3, "solution": ["Bv1", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAooBCDDDoBCEEEooCFFFGoooooGoooooGoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>4\n"]}} {"board": "ooooBoooooBoooCooDAACooDooCooDoooooo", "size": 6, "moves": 3, "solution": ["C^2", "D^2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoooooBoooCooDAACooDooCooDoooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,D^2,A>4\n"]}} {"board": "ooBBBooooCDooooCDoAAoCDooooooooooooo", "size": 6, "moves": 4, "solution": ["B<2", "C^1", "D^1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBooooCDooooCDoAAoCDooooooooooooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,C^1,D^1,A>4\n"]}} {"board": "ooAABCooooBCoooDoEFFoDoEoooDoEoooooo", "size": 6, "moves": 4, "solution": ["Bv1", "Ev1", "Bv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAABCooooBCoooDoEFFoDoEoooDoEoooooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Ev1,Bv1,A>2\n"]}} {"board": "ooAABCDDDoBCEooooCEFoGGGEFoHIooJJHIo", "size": 6, "moves": 4, "solution": ["Bv1", "G<1", "Bv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAABCDDDoBCEooooCEFoGGGEFoHIooJJHIo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,G<1,Bv1,A>2\n"]}} {"board": "oooooooooBoooooBCDoAAoCDooEECooooFFF", "size": 6, "moves": 3, "solution": ["C^2", "D^1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBoooooBCDoAAoCDooEECooooFFF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,D^1,A>3\n"]}} {"board": "AABCooooBCooDDBCooEEoooooooooooooFFF", "size": 6, "moves": 3, "solution": ["Bv1", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AABCooooBCooDDBCooEEoooooooooooooFFF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>4\n"]}} {"board": "AAoBoCDDDBoCoooEEEFGGHHHFIJKKLoIJooL", "size": 6, "moves": 4, "solution": ["E<3", "Bv1", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoBoCDDDBoCoooEEEFGGHHHFIJKKLoIJooL\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<3,Bv1,Bv1,A>4\n"]}} {"board": "oAABCoDDoBCoooEBCooFEooooFoooooFoooo", "size": 6, "moves": 3, "solution": ["Bv1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAABCoDDoBCoooEBCooFEooooFoooooFoooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>3\n"]}} {"board": "AAoBoooooBCooooBCoDDDEEoooooFFoooooo", "size": 6, "moves": 3, "solution": ["E>1", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoBoooooBCooooBCoDDDEEoooooFFoooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE>1,Bv1,A>4\n"]}} {"board": "oooBoooooBCDEoooCDEAAoCDoFoGGGoFoHHH", "size": 6, "moves": 3, "solution": ["C^1", "D^1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoooooBCDEoooCDEAAoCDoFoGGGoFoHHH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^1,A>3\n"]}} {"board": "oBBBCoDoAACEDoFFoEoGooHHoGIIoooGoJJJ", "size": 6, "moves": 4, "solution": ["H<2", "Cv2", "Dv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBCoDoAACEDoFFoEoGooHHoGIIoooGoJJJ\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nH<2,Cv2,Dv1,A>2\n"]}} {"board": "ooAABooCooBooCooBooCoDDDEEEooooooooo", "size": 6, "moves": 4, "solution": ["C^1", "D<2", "Cv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAABooCooBooCooBooCoDDDEEEooooooooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D<2,Cv1,A>2\n"]}} {"board": "oAABoooooBoCoDEEFCGDooFoGDooFoGoHHoo", "size": 6, "moves": 4, "solution": ["Dv1", "D<1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAABoooooBoCoDEEFCGDooFoGDooFoGoHHoo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,D<1,Bv1,A>3\n"]}} {"board": "AAoBoooooBoooooCCCoooDDDoEEEoFoooooF", "size": 6, "moves": 3, "solution": ["C<3", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoBoooooBoooooCCCoooDDDoEEEoFoooooF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<3,Bv1,A>4\n"]}} {"board": "oooAABooCooBoDCooBoDoEEEFGGoooFooHHH", "size": 6, "moves": 3, "solution": ["E<1", "Bv1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooAABooCooBoDCooBoDoEEEFGGoooFooHHH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv1,A>1\n"]}} {"board": "oooBCoAAoBCoooooCoooooooDDoooooooEEE", "size": 6, "moves": 3, "solution": ["Bv2", "Bv2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBCoAAoBCoooooCoooooooDDoooooooEEE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,Bv2,A>4\n"]}} {"board": "oooooooAABoCDEoBoCDEoBooDooooFooGGoF", "size": 6, "moves": 3, "solution": ["Bv1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooAABoCDEoBoCDEoBooDooooFooGGoF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>3\n"]}} {"board": "oooBBBoooAACoooooCooooDDooEEoooooooo", "size": 6, "moves": 3, "solution": ["D<1", "Cv1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBoooAACoooooCooooDDooEEoooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Cv1,A>1\n"]}} {"board": "oooooooooooooAABooCooBooCooBooCooDDD", "size": 6, "moves": 4, "solution": ["C^1", "D<3", "Cv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooooAABooCooBooCooBooCooDDD\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D<3,Cv1,A>3\n"]}} {"board": "ooBAACDDBEoCoFBEoCGFoHHHGFIIIooJJJoo", "size": 6, "moves": 3, "solution": ["H<1", "Cv1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBAACDDBEoCoFBEoCGFoHHHGFIIIooJJJoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nH<1,Cv1,A>1\n"]}} {"board": "ooBBBooooCooDAACoEDooCoEoooooEFFoooo", "size": 6, "moves": 3, "solution": ["Cv2", "Dv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBooooCooDAACoEDooCoEoooooEFFoooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,Dv1,A>3\n"]}} {"board": "BooCCCBAAooDoEoFFDoEGGGDoooHHHIIIJJo", "size": 6, "moves": 3, "solution": ["H<1", "Dv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BooCCCBAAooDoEoFFDoEGGGDoooHHHIIIJJo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nH<1,Dv1,A>3\n"]}} {"board": "ooooooBoooooBoooooAACoDEooCoDEoooooE", "size": 6, "moves": 4, "solution": ["C^2", "D^2", "E^3", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooBoooooBoooooAACoDEooCoDEoooooE\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,D^2,E^3,A>4\n"]}} {"board": "oBBBooooooCDooEoCDAAEFooooEFoooGGooo", "size": 6, "moves": 4, "solution": ["B>2", "E^2", "F^2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBooooooCDooEoCDAAEFooooEFoooGGooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB>2,E^2,F^2,A>4\n"]}} {"board": "oooBBBoooooooCCCooooAAoDoooooDoooEED", "size": 6, "moves": 3, "solution": ["B<1", "D^3", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBoooooooCCCooooAAoDoooooDoooEED\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,D^3,A>2\n"]}} {"board": "oooBoCAAoBoCooooooDDDoooooEoooFFEooo", "size": 6, "moves": 3, "solution": ["Bv2", "Bv2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoCAAoBoCooooooDDDoooooEoooFFEooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,Bv2,A>4\n"]}} {"board": "oAAoBoooooBooCooDDoCooEEooFFFooooooo", "size": 6, "moves": 3, "solution": ["D<2", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAoBoooooBooCooDDoCooEEooFFFooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<2,Bv1,A>3\n"]}} {"board": "oAABCooooBCooooBooDooooEDooooEooFFFo", "size": 6, "moves": 3, "solution": ["Bv1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAABCooooBCooooBooDooooEDooooEooFFFo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>3\n"]}} {"board": "oooBBBCDDDooCEoFFFCEoooooEAAoGHHIIIG", "size": 6, "moves": 3, "solution": ["F<1", "G^2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBCDDDooCEoFFFCEoooooEAAoGHHIIIG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,G^2,A>2\n"]}} {"board": "ooAABCooooBCDDEEoCFGGGooFHHHIIFoJJJo", "size": 6, "moves": 3, "solution": ["Bv1", "Bv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAABCooooBCDDEEoCFGGGooFHHHIIFoJJJo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>2\n"]}} {"board": "oooooooooBoooooBCooAABCooooDDDoooooo", "size": 6, "moves": 3, "solution": ["B^1", "C^1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBoooooBCooAABCooooDDDoooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,C^1,A>3\n"]}} {"board": "ooooBooCCCBooooDDDoooooEooAAoEoooooo", "size": 6, "moves": 3, "solution": ["D<1", "E^1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBooCCCBooooDDDoooooEooAAoEoooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,E^1,A>2\n"]}} {"board": "AAoBCoooDBCoooDBCooEDooooEFFoooEoGGG", "size": 6, "moves": 3, "solution": ["Bv1", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoBCoooDBCoooDBCooEDooooEFFoooEoGGG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>4\n"]}} {"board": "oooooooooooBooooCBooAACBDDDooooooooo", "size": 6, "moves": 3, "solution": ["B^1", "C^1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooBooooCBooAACBDDDooooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,C^1,A>2\n"]}} {"board": "ooooooooooooooBCCCooBoDoAAooDooooooo", "size": 6, "moves": 4, "solution": ["B^2", "C<2", "D^1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooooooBCCCooBoDoAAooDooooooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^2,C<2,D^1,A>4\n"]}} {"board": "oBoCCCoBoDDDoBoooooooEEEooAAoFoooooF", "size": 6, "moves": 3, "solution": ["E<1", "F^2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoCCCoBoDDDoBoooooooEEEooAAoFoooooF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,F^2,A>2\n"]}} {"board": "ooooBCoAAoBCoooDooEooDooEooDFFEoGGoo", "size": 6, "moves": 3, "solution": ["Bv2", "Bv2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBCoAAoBCoooDooEooDooEooDFFEoGGoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,Bv2,A>3\n"]}} {"board": "oooBoooAABCoDooBCEDFFoCEGoooHHGooooo", "size": 6, "moves": 4, "solution": ["H<3", "Bv2", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoooAABCoDooBCEDFFoCEGoooHHGooooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nH<3,Bv2,Bv1,A>3\n"]}} {"board": "oBCooDoBCAADEBCoFFEGoHHoEGIIIJKKoLLJ", "size": 6, "moves": 3, "solution": ["F<1", "Dv2", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBCooDoBCAADEBCoFFEGoHHoEGIIIJKKoLLJ\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Dv2,A>1\n"]}} {"board": "ooooBooAAoBoCDoEEFCDGooFooGooFooGHHo", "size": 6, "moves": 3, "solution": ["E<1", "Bv2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBooAAoBoCDoEEFCDGooFooGooFooGHHo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv2,A>3\n"]}} {"board": "BoooooBCDoEoBCDoEFoCooGFooooGoooAAGo", "size": 6, "moves": 3, "solution": ["E^1", "G^1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoooooBCDoEoBCDoEFoCooGFooooGoooAAGo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,G^1,A>2\n"]}} {"board": "ooBCooooBCoooooDDDooooEoAAooEFoGGGEF", "size": 6, "moves": 4, "solution": ["D<2", "E^2", "F^2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBCooooBCoooooDDDooooEoAAooEFoGGGEF\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<2,E^2,F^2,A>4\n"]}} {"board": "oAABoCoooBoCoDoEEooDFGooHHFGooooFooo", "size": 6, "moves": 4, "solution": ["Cv3", "D>1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAABoCoooBoCoDoEEooDFGooHHFGooooFooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv3,D>1,Bv1,A>3\n"]}} {"board": "BBBoCoDoAACoDooEEoDoFoooooFGGoooFoHH", "size": 6, "moves": 3, "solution": ["E<1", "Cv2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBoCoDoAACoDooEEoDoFoooooFGGoooFoHH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Cv2,A>2\n"]}} {"board": "oBooCooBooCoooooooDooooEDooFoEAAoFoE", "size": 6, "moves": 3, "solution": ["E^1", "F^1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBooCooBooCoooooooDooooEDooFoEAAoFoE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,F^1,A>4\n"]}} {"board": "ooooooooooBCoAAoBCooDDBCoooEEEoooooo", "size": 6, "moves": 4, "solution": ["E<2", "Bv2", "Bv2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooBCoAAoBCooDDBCoooEEEoooooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<2,Bv2,Bv2,A>3\n"]}} {"board": "ooooBoAAoCBoDDDCooooECooooEoFoGGEoFo", "size": 6, "moves": 3, "solution": ["Bv2", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoAAoCBoDDDCooooECooooEoFoGGEoFo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,Bv1,A>4\n"]}} {"board": "ooBooCoDBooCEDBoooEDooFGEoooFGoAAoFG", "size": 6, "moves": 3, "solution": ["F^1", "G^1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBooCoDBooCEDBoooEDooFGEoooFGoAAoFG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,G^1,A>3\n"]}} {"board": "oBBBoooCDEEEoCDooooooooFooGAAFooGooF", "size": 6, "moves": 4, "solution": ["Dv1", "D<1", "F^2", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBoooCDEEEoCDooooooooFooGAAFooGooF\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,D<1,F^2,A>1\n"]}} {"board": "oBBBooooAACoooDDCoEoooCFEooGGFoHHHoF", "size": 6, "moves": 3, "solution": ["G<1", "Cv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBooooAACoooDDCoEoooCFEooGGFoHHHoF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,Cv1,A>2\n"]}} {"board": "oBoCCCoBoooooBooooDDDEoooooEFooAAEFo", "size": 6, "moves": 3, "solution": ["E^1", "F^1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoCCCoBoooooBooooDDDEoooooEFooAAEFo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,F^1,A>3\n"]}} {"board": "ooooooooBCooooBCooAABCoooooooooooooo", "size": 6, "moves": 3, "solution": ["B^1", "C^1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooBCooooBCooAABCoooooooooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,C^1,A>4\n"]}} {"board": "ooBoooAABoooooCCCoDDooEFooGGEFoHHoEF", "size": 6, "moves": 3, "solution": ["C>1", "Bv2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoooAABoooooCCCoDDooEFooGGEFoHHoEF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC>1,Bv2,A>4\n"]}} {"board": "ooAAoBoooooBoCoooDECoooDEoFoooEoFooo", "size": 6, "moves": 3, "solution": ["Dv1", "Bv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAAoBoooooBoCoooDECoooDEoFoooEoFooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,Bv1,A>2\n"]}} {"board": "AAoBoooCoBDDoCoBEEFGGGHIFoJJHIoKKoHI", "size": 6, "moves": 4, "solution": ["F^2", "G<1", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoBoooCoBDDoCoBEEFGGGHIFoJJHIoKKoHI\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^2,G<1,Bv1,A>4\n"]}} {"board": "oooooBoooAABoooooBoCDEEEoCDooooCDooo", "size": 6, "moves": 4, "solution": ["D^3", "E<1", "Cv2", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoooAABoooooBoCDEEEoCDooooCDooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^3,E<1,Cv2,A>1\n"]}} {"board": "BoooCoBoAACoBoDDDooEFGoooEFGHHoEoGII", "size": 6, "moves": 3, "solution": ["D<1", "Cv2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoooCoBoAACoBoDDDooEFGoooEFGHHoEoGII\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Cv2,A>2\n"]}} {"board": "ooooooooAAoBoCoooBoCooDDooooooEEFFoo", "size": 6, "moves": 3, "solution": ["D<1", "Bv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooAAoBoCoooBoCooDDooooooEEFFoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv1,A>2\n"]}} {"board": "oBoAACoBooDCooooDEFFGGGEHHHooEooIIIo", "size": 6, "moves": 3, "solution": ["Ev1", "Cv1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoAACoBooDCooooDEFFGGGEHHHooEooIIIo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,Cv1,A>1\n"]}} {"board": "oooooBoCoooBoCoDoEAAoDoEoooDoooooooo", "size": 6, "moves": 3, "solution": ["D^2", "Ev2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoCoooBoCoDoEAAoDoEoooDoooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,Ev2,A>4\n"]}} {"board": "oooooooooooooAABoCoooBoCDooEECDooooo", "size": 6, "moves": 3, "solution": ["B^2", "Cv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooooAABoCoooBoCDooEECDooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^2,Cv1,A>3\n"]}} {"board": "oooooooooBBBoooooooCDooEoCDAAEoCFFoE", "size": 6, "moves": 3, "solution": ["B<1", "E^2", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBBBoooooooCDooEoCDAAEoCFFoE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,E^2,A>1\n"]}} {"board": "ooooBooAAoBCDDDooCoooooCEEoFFFoooooo", "size": 6, "moves": 4, "solution": ["Bv2", "F<1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBooAAoBCDDDooCoooooCEEoFFFoooooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,F<1,Bv1,A>3\n"]}} {"board": "ooooooAAooBCooooBCooooBoooDoooooDooo", "size": 6, "moves": 3, "solution": ["Bv1", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooAAooBCooooBCooooBoooDoooooDooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>4\n"]}} {"board": "BBBoooooCooDooCAADEoCooDEFooGGEFoooo", "size": 6, "moves": 3, "solution": ["G<1", "Dv2", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBoooooCooDooCAADEoCooDEFooGGEFoooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,Dv2,A>1\n"]}} {"board": "ooooooAAoBCooooBCooooBoooooooooooDDo", "size": 6, "moves": 3, "solution": ["Bv1", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooAAoBCooooBCooooBoooooooooooDDo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>4\n"]}} {"board": "AAoBooCCCBoooDoEEEFDGoooFoGoHoFoGoHo", "size": 6, "moves": 4, "solution": ["Dv1", "D<3", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoBooCCCBoooDoEEEFDGoooFoGoHoFoGoHo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,D<3,Bv1,A>4\n"]}} {"board": "oooooBoooAABoCoooooCoDDDECooooEFFGGG", "size": 6, "moves": 3, "solution": ["D<1", "Bv2", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoooAABoCoooooCoDDDECooooEFFGGG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv2,A>1\n"]}} {"board": "oooBooCCCBoDoAAooDoooooDoEEEoooFFGGG", "size": 6, "moves": 4, "solution": ["F<1", "G<1", "Dv2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBooCCCBoDoAAooDoooooDoEEEoooFFGGG\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,G<1,Dv2,A>3\n"]}} {"board": "BCCCooBDEEEFBDoooFGDHHHIGooooIGAAooI", "size": 6, "moves": 3, "solution": ["F^1", "I^1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BCCCooBDEEEFBDoooFGDHHHIGooooIGAAooI\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,I^1,A>3\n"]}} {"board": "BoooooBoooCoBooDCoAAoDCEFFFooEoooooE", "size": 6, "moves": 4, "solution": ["C^1", "D^1", "E^3", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoooooBoooCoBooDCoAAoDCEFFFooEoooooE\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^1,E^3,A>4\n"]}} {"board": "oooBBBooooooooooooooooCoAAooCDooooCD", "size": 6, "moves": 3, "solution": ["C^2", "D^2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBooooooooooooooooCoAAooCDooooCD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,D^2,A>4\n"]}} {"board": "oooBBBooooooooooCoooooCDEEEFCDAAoFoD", "size": 6, "moves": 3, "solution": ["D^1", "F^1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBooooooooooCoooooCDEEEFCDAAoFoD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,F^1,A>4\n"]}} {"board": "AAoooBoCoDDBoCoooEFCoooEFooooEFooooo", "size": 6, "moves": 3, "solution": ["Ev1", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoooBoCoDDBoCoooEFCoooEFooooEFooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,Bv1,A>4\n"]}} {"board": "ooBoooooBCCCDEBoooDEoFFFGEoAAHGoIIoH", "size": 6, "moves": 3, "solution": ["F<1", "H^2", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoooooBCCCDEBoooDEoFFFGEoAAHGoIIoH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,H^2,A>1\n"]}} {"board": "ooBoooAABoCoooooCoooDDoooooooooooooo", "size": 6, "moves": 4, "solution": ["Cv1", "D<2", "Bv2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoooAABoCoooooCoooDDoooooooooooooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,D<2,Bv2,A>4\n"]}} {"board": "BoAACDBEEECDBFFooooGoHHHoGoIoooGoIoo", "size": 6, "moves": 3, "solution": ["Cv1", "Cv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoAACDBEEECDBFFooooGoHHHoGoIoooGoIoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Cv1,A>2\n"]}} {"board": "oooooooooBoCoooBoCoAABoCoooDDDoEEooo", "size": 6, "moves": 3, "solution": ["B^1", "C^1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBoCoooBoCoAABoCoooDDDoEEooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,C^1,A>3\n"]}} {"board": "BBBoCoooooCoooDoCoAADEoooFFEGooHHEGo", "size": 6, "moves": 3, "solution": ["D^1", "E^3", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBoCoooooCoooDoCoAADEoooFFEGooHHEGo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E^3,A>4\n"]}} {"board": "ooooBooAAoBoooCCCoDEoFFGDEoHHGDIIooG", "size": 6, "moves": 4, "solution": ["C<1", "F<1", "Bv2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBooAAoBoooCCCoDEoFFGDEoHHGDIIooG\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,F<1,Bv2,A>3\n"]}} {"board": "AABoooooBCoooDDCEEoFoGoooFHGoooFHIII", "size": 6, "moves": 3, "solution": ["D<1", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AABoooooBCoooDDCEEoFoGoooFHGoooFHIII\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv1,A>4\n"]}} {"board": "ooooBCooAABCooooBCooooooooDDDooooooo", "size": 6, "moves": 4, "solution": ["Cv2", "D<1", "Bv2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBCooAABCooooBCooooooooDDDooooooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,D<1,Bv2,A>2\n"]}} {"board": "BBBooooooCCCooAADoEoooDoEoooFoEoooFo", "size": 6, "moves": 3, "solution": ["C<2", "D^2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBooooooCCCooAADoEoooDoEoooFoEoooFo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,D^2,A>2\n"]}} {"board": "ooooBoooooBoCAAoBoCDDoooCoooEEoooFFF", "size": 6, "moves": 4, "solution": ["E<2", "F<2", "Bv3", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoooooBoCAAoBoCDDoooCoooEEoooFFF\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<2,F<2,Bv3,A>3\n"]}} {"board": "oooooBooCCCBoDDDooooooEooAAoEFooGGEF", "size": 6, "moves": 4, "solution": ["C<1", "E^2", "F^2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBooCCCBoDDDooooooEooAAoEFooGGEF\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,E^2,F^2,A>3\n"]}} {"board": "ooooooooooooooBAACDoBEoCDFBEoCDFooGG", "size": 6, "moves": 3, "solution": ["G<1", "Cv1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooooooBAACDoBEoCDFBEoCDFooGG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,Cv1,A>1\n"]}} {"board": "ooooooBooooCBooooCoooooDoooooDooAAoD", "size": 6, "moves": 3, "solution": ["C^1", "D^1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooBooooCBooooCoooooDoooooDooAAoD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^1,A>2\n"]}} {"board": "BBBooooooCDoAAoCDoooEEDoooFoooooFooo", "size": 6, "moves": 3, "solution": ["C^1", "Dv2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBooooooCDoAAoCDoooEEDoooFoooooFooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,Dv2,A>4\n"]}} {"board": "oAABoooooBCCoooDDDEEFFGHoIIoGHoJJJGH", "size": 6, "moves": 3, "solution": ["D<3", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAABoooooBCCoooDDDEEFFGHoIIoGHoJJJGH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<3,Bv1,A>3\n"]}} {"board": "ooooooooooooAABCooDDBCoooooCoooEEEoo", "size": 6, "moves": 4, "solution": ["B^2", "E<1", "Cv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooooAABCooDDBCoooooCoooEEEoo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^2,E<1,Cv1,A>4\n"]}} {"board": "ooooBoAAoCBooooCBoooDDDooEoooooEoooo", "size": 6, "moves": 4, "solution": ["D<2", "Bv2", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoAAoCBooooCBoooDDDooEoooooEoooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<2,Bv2,Bv1,A>4\n"]}} {"board": "oooBBBoooCCCooAADoEEFFDGooHHHGIIIJJo", "size": 6, "moves": 3, "solution": ["H<1", "Dv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBoooCCCooAADoEEFFDGooHHHGIIIJJo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nH<1,Dv1,A>2\n"]}} {"board": "oooooooBoooooBooooooooCDAAooCDooooCD", "size": 6, "moves": 3, "solution": ["C^2", "D^2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooBoooooBooooooooCDAAooCDooooCD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,D^2,A>4\n"]}} {"board": "ooAABoCCCoBoooooBoDoEEEoDoooooDooooo", "size": 6, "moves": 3, "solution": ["E<1", "Bv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAABoCCCoBoooooBoDoEEEoDoooooDooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv1,A>2\n"]}} {"board": "ooooooBBBoCoooooCDAAooCDoooooDoooooo", "size": 6, "moves": 3, "solution": ["C^1", "D^2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooBBBoCoooooCDAAooCDoooooDoooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^2,A>4\n"]}} {"board": "oooooBCooAABCDDDooCoEEFFooGHHHooGooo", "size": 6, "moves": 4, "solution": ["E<1", "F<1", "Bv2", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBCooAABCDDDooCoEEFFooGHHHooGooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,F<1,Bv2,A>1\n"]}} {"board": "ooooBoAAooBoooooCCooooooooooooDDDooo", "size": 6, "moves": 3, "solution": ["C<2", "Bv2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoAAooBoooooCCooooooooooooDDDooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,Bv2,A>4\n"]}} {"board": "oBAACooBDDCooBooEEooooFoooooFooooGGG", "size": 6, "moves": 3, "solution": ["E<2", "Cv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBAACooBDDCooBooEEooooFoooooFooooGGG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<2,Cv1,A>2\n"]}} {"board": "BoooooBoAAoCBooDoCoooDoEoooooEooFFoo", "size": 6, "moves": 3, "solution": ["Ev1", "Cv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoooooBoAAoCBooDoCoooDoEoooooEooFFoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,Cv1,A>2\n"]}} {"board": "AAooBooCCoBoooDDBoEooFFoEoGGGoHHHIII", "size": 6, "moves": 3, "solution": ["F<1", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAooBooCCoBoooDDBoEooFFoEoGGGoHHHIII\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Bv1,A>4\n"]}} {"board": "oooBBBAAooCoDEEoCFDoGGGFooHHoFoooIIo", "size": 6, "moves": 3, "solution": ["G<1", "Cv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBAAooCoDEEoCFDoGGGFooHHoFoooIIo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,Cv1,A>4\n"]}} {"board": "oooBoooAABooooCDDDooCoooEEooFFoooGGG", "size": 6, "moves": 4, "solution": ["Cv1", "C<3", "Bv2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoooAABooooCDDDooCoooEEooFFoooGGG\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,C<3,Bv2,A>3\n"]}} {"board": "BoooCoBAAoCooooDDoEEoFFGoooooGoooooG", "size": 6, "moves": 4, "solution": ["D<1", "F<1", "Cv2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoooCoBAAoCooooDDoEEoFFGoooooGoooooG\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,F<1,Cv2,A>3\n"]}} {"board": "ooooBooCCCBooAAoBoDoooEEDoooooDooFFF", "size": 6, "moves": 4, "solution": ["E<2", "F<2", "Bv3", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBooCCCBooAAoBoDoooEEDoooooDooFFF\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<2,F<2,Bv3,A>3\n"]}} {"board": "BoCCCoBoooDoBEEEDoAAooDoFFGHooooGHII", "size": 6, "moves": 3, "solution": ["C<1", "D^1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoCCCoBoooDoBEEEDoAAooDoFFGHooooGHII\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,D^1,A>4\n"]}} {"board": "oBBBooCooDDDCoAAEoFGGGEoFHHIIIoJJKKK", "size": 6, "moves": 3, "solution": ["D<2", "E^2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBooCooDDDCoAAEoFGGGEoFHHIIIoJJKKK\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<2,E^2,A>2\n"]}} {"board": "BooCCCBooDEoAAoDEooooDFoooooFoooooFo", "size": 6, "moves": 4, "solution": ["C<2", "Dv2", "D^1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BooCCCBooDEoAAoDEooooDFoooooFoooooFo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,Dv2,D^1,A>4\n"]}} {"board": "oooBBBoCCCoDoooooDoAAooDEEoooooooooo", "size": 6, "moves": 3, "solution": ["B<1", "D^1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBoCCCoDoooooDoAAooDEEoooooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,D^1,A>3\n"]}} {"board": "BoooCoBAAoCoooooooooDEEEooDooooooooo", "size": 6, "moves": 4, "solution": ["Dv1", "D<2", "Cv2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoooCoBAAoCoooooooooDEEEooDooooooooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,D<2,Cv2,A>3\n"]}} {"board": "AAoBooCCoBDDoEEEFFGGGHoIooJHKIooJHKI", "size": 6, "moves": 3, "solution": ["E<1", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoBooCCoBDDoEEEFFGGGHoIooJHKIooJHKI\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv1,A>4\n"]}} {"board": "AAooBCDDEoBCFoEoBoFooGoHFIIGoHooooJJ", "size": 6, "moves": 3, "solution": ["Bv1", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAooBCDDEoBCFoEoBoFooGoHFIIGoHooooJJ\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>4\n"]}} {"board": "oAAooBoCCCoBDDDooBEoFFGGEHoIIIoHoJJJ", "size": 6, "moves": 4, "solution": ["F<1", "G<1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAooBoCCCoBDDDooBEoFFGGEHoIIIoHoJJJ\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,G<1,Bv1,A>3\n"]}} {"board": "BoooooBooCCCooooooooooDoooAADoooooDo", "size": 6, "moves": 3, "solution": ["C<2", "D^2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoooooBooCCCooooooooooDoooAADoooooDo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,D^2,A>2\n"]}} {"board": "ooooBoooooBCooAABCoooDoooooDoEoooDoE", "size": 6, "moves": 3, "solution": ["Bv3", "B^1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoooooBCooAABCoooDoooooDoEoooDoE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv3,B^1,A>2\n"]}} {"board": "oooBooAAoBoooCoDDDoCooooECoFFFEoGGGo", "size": 6, "moves": 4, "solution": ["Cv1", "C<3", "Bv2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBooAAoBoooCoDDDoCooooECoFFFEoGGGo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,C<3,Bv2,A>4\n"]}} {"board": "ooAAoBoooooBoooooBoooCCCoooDDooEEooo", "size": 6, "moves": 3, "solution": ["C<1", "Bv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAAoBoooooBoooooBoooCCCoooDDooEEooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,Bv1,A>2\n"]}} {"board": "oBoCCCoBoooDoBEAADFFEoGHooEoGHooooGH", "size": 6, "moves": 3, "solution": ["C<1", "D^1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoCCCoBoooDoBEAADFFEoGHooEoGHooooGH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,D^1,A>1\n"]}} {"board": "ooAABoCDooBECDFFFECGoooHIGJJJHIGoooH", "size": 6, "moves": 4, "solution": ["D^1", "F<1", "Cv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAABoCDooBECDFFFECGoooHIGJJJHIGoooH\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,F<1,Cv1,A>2\n"]}} {"board": "oooBBBoCoooooCoooooCAAoDooEooDooEooD", "size": 6, "moves": 3, "solution": ["B<1", "D^3", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBoCoooooCoooooCAAoDooEooDooEooD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,D^3,A>2\n"]}} {"board": "ooooooooooBooCCCBooDooBoEDooFoEDAAFo", "size": 6, "moves": 3, "solution": ["B^1", "F^1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooBooCCCBooDooBoEDooFoEDAAFo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,F^1,A>2\n"]}} {"board": "oooooBoooAABooooCCooooooooDoooooDooo", "size": 6, "moves": 3, "solution": ["C<1", "Bv2", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoooAABooooCCooooooooDoooooDooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,Bv2,A>1\n"]}} {"board": "AAooBCooDDBCEEEoFCGoooFoGooooHGIIIoH", "size": 6, "moves": 4, "solution": ["Cv1", "Fv1", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAooBCooDDBCEEEoFCGoooFoGooooHGIIIoH\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Fv1,Bv1,A>4\n"]}} {"board": "ooooBoooooBooAAoBooooooooCCooDooEEED", "size": 6, "moves": 3, "solution": ["E<1", "Bv3", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoooooBooAAoBooooooooCCooDooEEED\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv3,A>3\n"]}} {"board": "oBBBooooooooooCDooooCDooAACDEoooooEo", "size": 6, "moves": 4, "solution": ["C^1", "D^1", "E^2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBooooooooooCDooooCDooAACDEoooooEo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^1,E^2,A>4\n"]}} {"board": "oooBooAAoBCoooooCoDoooCoDooooooooooo", "size": 6, "moves": 3, "solution": ["Bv2", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBooAAoBCoooooCoDoooCoDooooooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,Bv1,A>4\n"]}} {"board": "oooooBooAAoBooooooooooCCDDoooooooooo", "size": 6, "moves": 3, "solution": ["C<1", "Bv2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBooAAoBooooooooooCCDDoooooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,Bv2,A>2\n"]}} {"board": "ooooBoAAooBoooooBooooooooooCCooooooo", "size": 6, "moves": 3, "solution": ["C<1", "Bv2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoAAooBoooooBooooooooooCCooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,Bv2,A>4\n"]}} {"board": "ooooooooooooAABCoooDBCEEoDBCFooDooFo", "size": 6, "moves": 3, "solution": ["Bv1", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooooAABCoooDBCEEoDBCFooDooFo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>4\n"]}} {"board": "oooooooooooooooBBBoooooooAAooCooDDDC", "size": 6, "moves": 3, "solution": ["B<1", "C^2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooooooBBBoooooooAAooCooDDDC\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,C^2,A>3\n"]}} {"board": "ooooooAABCooooBCoooDDCooooooEEoooooo", "size": 6, "moves": 4, "solution": ["Cv1", "D<1", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooAABCooooBCoooDDCooooooEEoooooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,D<1,Bv1,A>4\n"]}} {"board": "BBBoCoDoooCoDEooCoDEoFoGoAAFoGHHHFoG", "size": 6, "moves": 3, "solution": ["F^2", "G^2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBoCoDoooCoDEooCoDEoFoGoAAFoGHHHFoG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^2,G^2,A>3\n"]}} {"board": "oooooooooBBBoooCCCDoAAoEDoFFFEDooooE", "size": 6, "moves": 4, "solution": ["B<1", "C<1", "E^3", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBBBoooCCCDoAAoEDoFFFEDooooE\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,C<1,E^3,A>2\n"]}} {"board": "AAoooBoooooBooooCCooooooooooooooDDoo", "size": 6, "moves": 3, "solution": ["C<1", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoooBoooooBooooCCooooooooooooooDDoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,Bv1,A>4\n"]}} {"board": "oBoooooBooooooCoooooCDoEoooDoEoAADoE", "size": 6, "moves": 3, "solution": ["D^1", "E^1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoooooBooooooCoooooCDoEoooDoEoAADoE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E^1,A>3\n"]}} {"board": "AABoCoDoBoCoDoBoooEFooooEFoGGGEFHHII", "size": 6, "moves": 3, "solution": ["Bv1", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AABoCoDoBoCoDoBoooEFooooEFoGGGEFHHII\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>4\n"]}} {"board": "ooooooBoCoooBoCDDDBooEoFooGEoFooGAAF", "size": 6, "moves": 4, "solution": ["C^1", "D<1", "F^1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooBoCoooBoCDDDBooEoFooGEoFooGAAF\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D<1,F^1,A>1\n"]}} {"board": "BBBooooooooooooCCCAADoooooDEEoooDooo", "size": 6, "moves": 3, "solution": ["B>3", "D^3", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBooooooooooooCCCAADoooooDEEoooDooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB>3,D^3,A>4\n"]}} {"board": "oBoooooBCDDDooCooooooooooAAEoFoooEoF", "size": 6, "moves": 3, "solution": ["E^2", "F^2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoooooBCDDDooCooooooooooAAEoFoooEoF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^2,F^2,A>3\n"]}} {"board": "oBoCoooBoCoDoBooEDooAAEDoooooooFFGGo", "size": 6, "moves": 3, "solution": ["D^1", "E^1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoCoooBoCoDoBooEDooAAEDoooooooFFGGo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E^1,A>2\n"]}} {"board": "ooooooAAooBoooCoBoooCDDDoooooooooooo", "size": 6, "moves": 4, "solution": ["Cv2", "C<2", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooAAooBoooCoBoooCDDDoooooooooooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,C<2,Bv1,A>4\n"]}} {"board": "oooooooooBBBoooooooCooDEoCAADEoCoooE", "size": 6, "moves": 4, "solution": ["B<1", "D^1", "E^2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBBBoooooooCooDEoCAADEoCoooE\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,D^1,E^2,A>2\n"]}} {"board": "oooooooAAoBooCCoBoooDDDooEEooooooooo", "size": 6, "moves": 3, "solution": ["D<1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooAAoBooCCoBoooDDDooEEooooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv1,A>3\n"]}} {"board": "oBoooooBCDDDoBCooEoFCAAEoFGGoooooHHH", "size": 6, "moves": 3, "solution": ["H<1", "Ev2", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoooooBCDDDoBCooEoFCAAEoFGGoooooHHH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nH<1,Ev2,A>1\n"]}} {"board": "BAACDoBooCDoBooCooEEoooooFGGHooFooHo", "size": 6, "moves": 3, "solution": ["Cv1", "Cv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BAACDoBooCDoBooCooEEoooooFGGHooFooHo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Cv1,A>3\n"]}} {"board": "oooooooooBBBooooooooAAoCDEEooCDFFFoC", "size": 6, "moves": 3, "solution": ["B<1", "C^3", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBBBooooooooAAoCDEEooCDFFFoC\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,C^3,A>2\n"]}} {"board": "ooooBoooAABCooooBCoooooCooDoooooDoEE", "size": 6, "moves": 3, "solution": ["Bv2", "Bv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoooAABCooooBCoooooCooDoooooDoEE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,Bv1,A>2\n"]}} {"board": "oAABoooooBooCooBooCoDDEoCoooEoooooEo", "size": 6, "moves": 3, "solution": ["D<1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAABoooooBooCooBooCoDDEoCoooEoooooEo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv1,A>3\n"]}} {"board": "oBBBooCCCoooDEFoGoDEFHGIJoFHGIJAAHoI", "size": 6, "moves": 3, "solution": ["H^1", "I^1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBooCCCoooDEFoGoDEFHGIJoFHGIJAAHoI\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nH^1,I^1,A>3\n"]}} {"board": "BCCCooBoooooAADooEFFDooEoGooHEoGooHo", "size": 6, "moves": 3, "solution": ["Dv1", "Dv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BCCCooBoooooAADooEFFDooEoGooHEoGooHo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,Dv1,A>4\n"]}} {"board": "oooooooooooooooBBBooAAoCooDDoCoooooC", "size": 6, "moves": 3, "solution": ["B<1", "C^3", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooooooBBBooAAoCooDDoCoooooC\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,C^3,A>2\n"]}} {"board": "BBBoooooooCoAAoDCEoFFDCEoooDoEoooooo", "size": 6, "moves": 4, "solution": ["Cv2", "Cv1", "Cv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBoooooooCoAAoDCEoFFDCEoooDoEoooooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,Cv1,Cv1,A>4\n"]}} {"board": "oooBoooAABoCDooooCDooooCoEEEoooooFFo", "size": 6, "moves": 3, "solution": ["Bv2", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoooAABoCDooooCDooooCoEEEoooooFFo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,Bv1,A>3\n"]}} {"board": "ooooooooooBooooCBooAACBooooCDDooooEE", "size": 6, "moves": 3, "solution": ["B^1", "C^2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooBooooCBooAACBooooCDDooooEE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,C^2,A>3\n"]}} {"board": "oooooooooBBBoooCCCDAAEooDooEFFDooGGG", "size": 6, "moves": 4, "solution": ["B<3", "C<3", "E^2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBBBoooCCCDAAEooDooEFFDooGGG\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<3,C<3,E^2,A>3\n"]}} {"board": "oooooooooooBAAoCoBoooCoooDDoooooEEEo", "size": 6, "moves": 3, "solution": ["B^1", "C^2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooBAAoCoBoooCoooDDoooooEEEo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,C^2,A>4\n"]}} {"board": "oooooBooAACBooooCoooooooooDEEEooDooo", "size": 6, "moves": 3, "solution": ["Bv2", "Bv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBooAACBooooCoooooooooDEEEooDooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,Bv1,A>2\n"]}} {"board": "AAoBoCoDDBoCooooooEoooooEoFFFoEoGGHH", "size": 6, "moves": 3, "solution": ["Bv1", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoBoCoDDBoCooooooEoooooEoFFFoEoGGHH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>4\n"]}} {"board": "oooBooAAoBoCDDDBoCoooooCooEEEooFFooo", "size": 6, "moves": 4, "solution": ["Cv1", "E<2", "Bv2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBooAAoBoCDDDBoCoooooCooEEEooFFooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,E<2,Bv2,A>4\n"]}} {"board": "oooooBoooooBCCCoooDooEEEDoAAFoDoooFo", "size": 6, "moves": 3, "solution": ["E<2", "F^2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoooooBCCCoooDooEEEDoAAFoDoooFo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<2,F^2,A>2\n"]}} {"board": "BCCCooBooDDDBEAAFooEooFGHoIIJGHKKKJG", "size": 6, "moves": 3, "solution": ["D<2", "F^2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BCCCooBooDDDBEAAFooEooFGHoIIJGHKKKJG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<2,F^2,A>2\n"]}} {"board": "ooooBoooAABoooooBooCoooooCooDDooEEEo", "size": 6, "moves": 3, "solution": ["D<2", "Bv2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoooAABoooooBooCoooooCooDDooEEEo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<2,Bv2,A>2\n"]}} {"board": "oooAABoCCCoBoDEEoBFDooGGFHoIIoFHJJoo", "size": 6, "moves": 3, "solution": ["G<1", "Bv1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooAABoCCCoBoDEEoBFDooGGFHoIIoFHJJoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,Bv1,A>1\n"]}} {"board": "oooooBAAoooBoCCooBoooDDDooEoooooEoFF", "size": 6, "moves": 3, "solution": ["D<1", "Bv2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBAAoooBoCCooBoooDDDooEoooooEoFF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv2,A>4\n"]}} {"board": "oooooooooBBBoooooCoDAAoCoDoooCoDoooo", "size": 6, "moves": 3, "solution": ["B<1", "C^2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBBBoooooCoDAAoCoDoooCoDoooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,C^2,A>2\n"]}} {"board": "BBBooooooooooooooooAAoCDoEooCDoEooCD", "size": 6, "moves": 3, "solution": ["C^3", "D^3", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBooooooooooooooooAAoCDoEooCDoEooCD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^3,D^3,A>3\n"]}} {"board": "ooooooooooBoooAABoooooBoooooCCDDoooo", "size": 6, "moves": 3, "solution": ["C<2", "Bv2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooBoooAABoooooBoooooCCDDoooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,Bv2,A>2\n"]}} {"board": "oooooooBoooooBAACDEFFGCDEooGCDHHHGoo", "size": 6, "moves": 3, "solution": ["Cv1", "Cv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooBoooooBAACDEFFGCDEooGCDHHHGoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Cv1,A>2\n"]}} {"board": "oAABoooooBoCoDDBoCEFoGoCEFoGooEFooHH", "size": 6, "moves": 3, "solution": ["Gv1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAABoooooBoCoDDBoCEFoGoCEFoGooEFooHH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nGv1,Bv1,A>3\n"]}} {"board": "oBBBoCoooooCoooAACDooEEEDooooooooooo", "size": 6, "moves": 3, "solution": ["E<1", "Cv3", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBoCoooooCoooAACDooEEEDooooooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Cv3,A>1\n"]}} {"board": "oooBBBoooCCCoooooooooDooEAADooEFFDoo", "size": 6, "moves": 3, "solution": ["C<3", "D^2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBoooCCCoooooooooDooEAADooEFFDoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<3,D^2,A>3\n"]}} {"board": "ooooooooBooCooBooCAABooCDDDooooooooo", "size": 6, "moves": 3, "solution": ["B^1", "C^1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooBooCooBooCAABooCDDDooooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,C^1,A>4\n"]}} {"board": "oooooooooBBBoCoooooCoooooCooDEoAAoDE", "size": 6, "moves": 3, "solution": ["D^1", "E^1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBBBoCoooooCoooooCooDEoAAoDE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E^1,A>3\n"]}} {"board": "oBoooCoBAAoCoBoDDDooooEoooooEooooooo", "size": 6, "moves": 3, "solution": ["D<1", "Cv2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoooCoBAAoCoBoDDDooooEoooooEooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Cv2,A>2\n"]}} {"board": "AAoBCoDDDBCoooEBoFooEoGFHHIIGJooooGJ", "size": 6, "moves": 3, "solution": ["Bv1", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoBCoDDDBCoooEBoFooEoGFHHIIGJooooGJ\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>4\n"]}} {"board": "BooCCCBooooDooEEEDooAAoDoooFGGoooFoo", "size": 6, "moves": 3, "solution": ["C<1", "D^1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BooCCCBooooDooEEEDooAAoDoooFGGoooFoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,D^1,A>2\n"]}} {"board": "ooooBoooAABooooCCCDDEoooFoEGGGFoEHHH", "size": 6, "moves": 3, "solution": ["C<2", "Bv2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoooAABooooCCCDDEoooFoEGGGFoEHHH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,Bv2,A>2\n"]}} {"board": "BooCCCBooooDBEoooDoEAAoDoooFFoGGoooo", "size": 6, "moves": 3, "solution": ["C<1", "D^1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BooCCCBooooDBEoooDoEAAoDoooFFoGGoooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,D^1,A>2\n"]}} {"board": "oooBBBooCoDoooCoDEoAAooEFFoooEoGGoHH", "size": 6, "moves": 3, "solution": ["B<1", "E^2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBooCoDoooCoDEoAAooEFFoooEoGGoHH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,E^2,A>3\n"]}} {"board": "oooBoooooBooAAoBooCoDDoECoFooEooFooE", "size": 6, "moves": 3, "solution": ["D<1", "Bv3", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoooooBooAAoBooCoDDoECoFooEooFooE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv3,A>4\n"]}} {"board": "BBBoooooooooooooooAACoDoEECoDooooooo", "size": 6, "moves": 3, "solution": ["C^2", "D^2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBoooooooooooooooAACoDoEECoDooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,D^2,A>4\n"]}} {"board": "oooooBCoAAoBCDDoooEEoooFGHHHIFGoJJIo", "size": 6, "moves": 3, "solution": ["Fv1", "Bv2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBCoAAoBCDDoooEEoooFGHHHIFGoJJIo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nFv1,Bv2,A>2\n"]}} {"board": "oooBBBooooCoooooCDoAAoCDoooooDoooooo", "size": 6, "moves": 4, "solution": ["B<2", "C^1", "D^2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBooooCoooooCDoAAoCDoooooDoooooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,C^1,D^2,A>3\n"]}} {"board": "oooooooBooCooBooCooBDECFooDEoFAADEoF", "size": 6, "moves": 4, "solution": ["D^1", "E^1", "F^1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooBooCooBooCooBDECFooDEoFAADEoF\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E^1,F^1,A>4\n"]}} {"board": "AAoBCooooBCooooBCoooooooDDDoooEEoooo", "size": 6, "moves": 3, "solution": ["Bv1", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoBCooooBCooooBCoooooooDDDoooEEoooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>4\n"]}} {"board": "oooBoooooBoooooCCCooooDoEoooDoEoAADo", "size": 6, "moves": 3, "solution": ["C<2", "D^1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoooooBoooooCCCooooDoEoooDoEoAADo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,D^1,A>2\n"]}} {"board": "BBBoooooooooooooCDAAooCDoooooDooEEEo", "size": 6, "moves": 3, "solution": ["C^1", "D^2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBoooooooooooooCDAAooCDoooooDooEEEo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^2,A>4\n"]}} {"board": "oAAoBoooooBooooCCCoooooooDoooooDoooo", "size": 6, "moves": 3, "solution": ["C<2", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAoBoooooBooooCCCoooooooDoooooDoooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,Bv1,A>3\n"]}} {"board": "oooooooAABoooCoBDDECoBooEoFFooEooGGG", "size": 6, "moves": 3, "solution": ["F<1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooAABoooCoBDDECoBooEoFFooEooGGG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Bv1,A>3\n"]}} {"board": "BoooooBoAAoCoooooCDDooEEoooFFFoooGGG", "size": 6, "moves": 3, "solution": ["E<1", "Cv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoooooBoAAoCoooooCDDooEEoooFFFoooGGG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Cv1,A>2\n"]}} {"board": "oooooBoooAABooooCCoDooEEoDoooooDooFF", "size": 6, "moves": 4, "solution": ["C<1", "E<1", "Bv2", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoooAABooooCCoDooEEoDoooooDooFF\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,E<1,Bv2,A>1\n"]}} {"board": "ooAAoBCCCooBoooooDoooooDoEEooDoooFFF", "size": 6, "moves": 4, "solution": ["F<1", "Dv1", "Bv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAAoBCCCooBoooooDoooooDoEEooDoooFFF\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Dv1,Bv1,A>2\n"]}} {"board": "oooooBAAoooBoooooBooCDDDEoCoooEooFFF", "size": 6, "moves": 4, "solution": ["Cv1", "C<1", "Bv2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBAAoooBoooooBooCDDDEoCoooEooFFF\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,C<1,Bv2,A>4\n"]}} {"board": "BBBoooooAACDoooECDFooECoFGGEoHFIIIoH", "size": 6, "moves": 3, "solution": ["Cv1", "Cv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBoooooAACDoooECDFooECoFGGEoHFIIIoH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Cv1,A>2\n"]}} {"board": "ooBoooooBCooooBCDooooCDoEEEFDoAAoFoo", "size": 6, "moves": 3, "solution": ["C^1", "F^1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoooooBCooooBCDooooCDoEEEFDoAAoFoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,F^1,A>4\n"]}} {"board": "ooBoooAABoooooBooooCCDDoooooEEoooooo", "size": 6, "moves": 3, "solution": ["C<1", "Bv2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoooAABoooooBooooCCDDoooooEEoooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,Bv2,A>4\n"]}} {"board": "ooBoooAABoooCCDDDoEEoooooooFFFooGGoo", "size": 6, "moves": 3, "solution": ["D>1", "Bv2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoooAABoooCCDDDoEEoooooooFFFooGGoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD>1,Bv2,A>4\n"]}} {"board": "BoooooBooCCCBDDDoooooooEoAAooEoooooE", "size": 6, "moves": 3, "solution": ["C<1", "E^2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoooooBooCCCBDDDoooooooEoAAooEoooooE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,E^2,A>3\n"]}} {"board": "BCoDDDBCoooEBCFFFEGooAAEGooHHHGoIIIo", "size": 6, "moves": 3, "solution": ["D<1", "E^1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BCoDDDBCoooEBCFFFEGooAAEGooHHHGoIIIo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,E^1,A>1\n"]}} {"board": "BoooooBoooCoDoAACoDoooCoDoEEEooooFFo", "size": 6, "moves": 4, "solution": ["E<1", "F<1", "Cv2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoooooBoooCoDoAACoDoooCoDoEEEooooFFo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,F<1,Cv2,A>2\n"]}} {"board": "ooBBBoooCCCoDDDoooAAoEooooFEGGooFEoo", "size": 6, "moves": 4, "solution": ["B<2", "C<2", "E^3", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBoooCCCoDDDoooAAoEooooFEGGooFEoo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,C<2,E^3,A>4\n"]}} {"board": "oooooBooAAoBoooooBCDoEEECDooooCDoFFo", "size": 6, "moves": 3, "solution": ["E<1", "Bv2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBooAAoBoooooBCDoEEECDooooCDoFFo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv2,A>2\n"]}} {"board": "oooooooooBoooAABoCoDDBoCoooooEoooooE", "size": 6, "moves": 3, "solution": ["Bv2", "B^2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBoooAABoCoDDBoCoooooEoooooE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,B^2,A>3\n"]}} {"board": "BoooooBoooooBooCCCoooDEFoooDEFAAooEF", "size": 6, "moves": 4, "solution": ["C<2", "E^1", "F^1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoooooBoooooBooCCCoooDEFoooDEFAAooEF\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,E^1,F^1,A>4\n"]}} {"board": "oooBoooooBoooooCCCoooooDoooooDoAAooD", "size": 6, "moves": 3, "solution": ["C<1", "D^1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoooooBoooooCCCoooooDoooooDoAAooD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,D^1,A>3\n"]}} {"board": "BBBoooooAAoCDoEEECDFoooCoFooGGoFHHII", "size": 6, "moves": 3, "solution": ["G<1", "Cv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBoooooAAoCDoEEECDFoooCoFooGGoFHHII\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,Cv1,A>2\n"]}} {"board": "oAAooBoooooBoooCCCDoEFFoDoEoooDoEoGG", "size": 6, "moves": 3, "solution": ["C<1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAooBoooooBoooCCCDoEFFoDoEoooDoEoGG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,Bv1,A>3\n"]}} {"board": "BooCooBAACDoEoFCDGEHFoDGoHFooIoHJJJI", "size": 6, "moves": 3, "solution": ["Cv2", "Cv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BooCooBAACDoEoFCDGEHFoDGoHFooIoHJJJI\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,Cv1,A>3\n"]}} {"board": "oooooooBBBoooAACoDEooCoDEooCFFEooooo", "size": 6, "moves": 3, "solution": ["Cv1", "C^2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooBBBoooAACoDEooCoDEooCFFEooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,C^2,A>3\n"]}} {"board": "ooooBoAAooBCoDDDBCoooooCoooEEEooooFF", "size": 6, "moves": 4, "solution": ["E<2", "Bv2", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoAAooBCoDDDBCoooooCoooEEEooooFF\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<2,Bv2,Bv1,A>4\n"]}} {"board": "oooooooAAoBooCCoBoooooDoooooDooooooo", "size": 6, "moves": 3, "solution": ["Dv1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooAAoBooCCoBoooooDoooooDooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,Bv1,A>3\n"]}} {"board": "oAAooBCCDDoBoooooEoooFGEHIIFGoHJJFKK", "size": 6, "moves": 3, "solution": ["Ev1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAooBCCDDoBoooooEoooFGEHIIFGoHJJFKK\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,Bv1,A>3\n"]}} {"board": "ooooooooooooooooooAABooCDoBooCDoBooo", "size": 6, "moves": 3, "solution": ["B^3", "C^2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooooooooooAABooCDoBooCDoBooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^3,C^2,A>4\n"]}} {"board": "AAooBoooooBoooooCoooooCoooooCoooDDoo", "size": 6, "moves": 3, "solution": ["Cv1", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAooBoooooBoooooCoooooCoooooCoooDDoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Bv1,A>4\n"]}} {"board": "ooooBoooooBooooCCCooAAoDEEoooDFFFooD", "size": 6, "moves": 3, "solution": ["C<1", "D^3", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoooooBooooCCCooAAoDEEoooDFFFooD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,D^3,A>2\n"]}} {"board": "BoooooBooCDoEooCDoEAACDoooooFFoooooo", "size": 6, "moves": 3, "solution": ["C^1", "D^1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoooooBooCDoEooCDoEAACDoooooFFoooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^1,A>3\n"]}} {"board": "BooAACBooDDCBooEEEooooooooooFoooooFo", "size": 6, "moves": 3, "solution": ["E<1", "Cv1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BooAACBooDDCBooEEEooooooooooFoooooFo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Cv1,A>1\n"]}} {"board": "ooAAoBoooCCBoooooBoooooDooEEoDoooooo", "size": 6, "moves": 3, "solution": ["Dv1", "Bv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAAoBoooCCBoooooBoooooDooEEoDoooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,Bv1,A>2\n"]}} {"board": "oooooooooooooBBBoooooCoooAACoooooooo", "size": 6, "moves": 3, "solution": ["B<1", "C^1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooooBBBoooooCoooAACoooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,C^1,A>3\n"]}} {"board": "oooBBBAAooCDEoFFCDEGoooDoGooHoIIooHo", "size": 6, "moves": 3, "solution": ["Cv1", "Cv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBAAooCDEoFFCDEGoooDoGooHoIIooHo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Cv1,A>4\n"]}} {"board": "ooooBCAAooBCooooBooooooooooooooooooo", "size": 6, "moves": 3, "solution": ["Bv2", "Bv2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBCAAooBCooooBooooooooooooooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,Bv2,A>4\n"]}} {"board": "oooBBBCCCDDDoEEEooFoooGHFoooGHFoAAGH", "size": 6, "moves": 3, "solution": ["G^1", "H^1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBCCCDDDoEEEooFoooGHFoooGHFoAAGH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nG^1,H^1,A>2\n"]}} {"board": "ooooBoCoAABoCoooBoCDEEEooDoooooDoooo", "size": 6, "moves": 4, "solution": ["D^3", "E<1", "Cv2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoCoAABoCoooBoCDEEEooDoooooDoooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^3,E<1,Cv2,A>2\n"]}} {"board": "oAAoBCDEEoBCDFFGBCDoHGIoooHGIJoooooJ", "size": 6, "moves": 4, "solution": ["Cv1", "Iv1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAoBCDEEoBCDFFGBCDoHGIoooHGIJoooooJ\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Iv1,Bv1,A>3\n"]}} {"board": "BBBCCCoDEoFGoDEoFGoooHoooooHIJAAooIJ", "size": 6, "moves": 3, "solution": ["I^1", "J^1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBCCCoDEoFGoDEoFGoooHoooooHIJAAooIJ\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nI^1,J^1,A>4\n"]}} {"board": "oooooooooBoooooBCoooooCoAADoCoEEDFFF", "size": 6, "moves": 3, "solution": ["C^1", "D^2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBoooooBCoooooCoAADoCoEEDFFF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^2,A>4\n"]}} {"board": "oAAooBCoDDoBCooooBCooEEEoooooooooooo", "size": 6, "moves": 3, "solution": ["E<1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAooBCoDDoBCooooBCooEEEoooooooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv1,A>3\n"]}} {"board": "ooBoooCoBoDoCoooDoEFFFDoEooGoooAAGoo", "size": 6, "moves": 4, "solution": ["Ev1", "E<1", "G^1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoooCoBoDoCoooDoEFFFDoEooGoooAAGoo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,E<1,G^1,A>3\n"]}} {"board": "oooooooooooBoAAooBoooooBoooCCCoooDDo", "size": 6, "moves": 3, "solution": ["C<1", "Bv2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooBoAAooBoooooBoooCCCoooDDo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,Bv2,A>3\n"]}} {"board": "BBBooooCCCooooDDDoooAAEoooooEoooooEo", "size": 6, "moves": 3, "solution": ["D<1", "E^3", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBooooCCCooooDDDoooAAEoooooEoooooEo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,E^3,A>2\n"]}} {"board": "oooooooooBBBooooCoooAACoDoooCoDEEooo", "size": 6, "moves": 3, "solution": ["B<2", "C^2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBBBooooCoooAACoDoooCoDEEooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,C^2,A>2\n"]}} {"board": "ooooooAAoBoooooBoooooCCooooooooooDDo", "size": 6, "moves": 3, "solution": ["C<2", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooAAoBoooooBoooooCCooooooooooDDo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,Bv1,A>4\n"]}} {"board": "oooooooooooooooooooooBBBoAAoCoDDooCo", "size": 6, "moves": 3, "solution": ["B<2", "C^2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooooooooooooBBBoAAoCoDDooCo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,C^2,A>3\n"]}} {"board": "oooooooBoooooBooooooooCoAAoDCEoFFDCE", "size": 6, "moves": 4, "solution": ["C^2", "D^2", "E^2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooBoooooBooooooooCoAAoDCEoFFDCE\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,D^2,E^2,A>4\n"]}} {"board": "ooooBoCoooBoCooDDDCoEFoGoHEFoGoHoAAG", "size": 6, "moves": 3, "solution": ["D<1", "G^1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoCoooBoCooDDDCoEFoGoHEFoGoHoAAG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,G^1,A>1\n"]}} {"board": "oooBBBoooCCCoooooDoooooDAAoEFooooEFo", "size": 6, "moves": 3, "solution": ["E^2", "F^2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBoooCCCoooooDoooooDAAoEFooooEFo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^2,F^2,A>4\n"]}} {"board": "ooooooooooooBBBoooooCoooAACooooooooo", "size": 6, "moves": 3, "solution": ["B>3", "C^1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooooBBBoooooCoooAACooooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB>3,C^1,A>4\n"]}} {"board": "ooooooooBoooAABooCoooDECoooDEooooDEo", "size": 6, "moves": 3, "solution": ["B^1", "C^2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooBoooAABooCoooDECoooDEooooDEo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,C^2,A>4\n"]}} {"board": "ooAABCoDDDBCooEEBCoFFFooGGoHHooIIIJJ", "size": 6, "moves": 3, "solution": ["Bv1", "Bv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAABCoDDDBCooEEBCoFFFooGGoHHooIIIJJ\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>2\n"]}} {"board": "ooooooBoooooBoCCCoBDEooooDEoooAAEooo", "size": 6, "moves": 3, "solution": ["C>1", "E^1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooBoooooBoCCCoBDEooooDEoooAAEooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC>1,E^1,A>4\n"]}} {"board": "BooCCCBDEEEFBDGGGFAAoooFoooHHHIIoJJJ", "size": 6, "moves": 3, "solution": ["C<1", "F^1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BooCCCBDEEEFBDGGGFAAoooFoooHHHIIoJJJ\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,F^1,A>4\n"]}} {"board": "oooooooooooooooooBoAACoBoooCoooooCoo", "size": 6, "moves": 3, "solution": ["B^1", "C^3", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooooooooBoAACoBoooCoooooCoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,C^3,A>3\n"]}} {"board": "ooBCooooBCooAAoCoooooooDoooEEDoFFFoo", "size": 6, "moves": 4, "solution": ["E<2", "F<1", "Cv3", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBCooooBCooAAoCoooooooDoooEEDoFFFoo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<2,F<1,Cv3,A>4\n"]}} {"board": "oooBBBCooDoECooDoECAADooFGooHHFGoIII", "size": 6, "moves": 3, "solution": ["B<3", "D^1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBCooDoECooDoECAADooFGooHHFGoIII\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<3,D^1,A>3\n"]}} {"board": "ooooooAAooBoCCooBooooDDoEEEoFoGGooFo", "size": 6, "moves": 3, "solution": ["D<1", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooAAooBoCCooBooooDDoEEEoFoGGooFo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv1,A>4\n"]}} {"board": "ooooooooooooooooooAAooBCooDDBCooooBC", "size": 6, "moves": 3, "solution": ["B^3", "C^3", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooooooooooAAooBCooDDBCooooBC\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^3,C^3,A>4\n"]}} {"board": "ooBAACDDBooCEEEoFFGoooooGoooooGoooHH", "size": 6, "moves": 3, "solution": ["F<1", "Cv1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBAACDDBooCEEEoFFGoooooGoooooGoooHH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Cv1,A>1\n"]}} {"board": "BoCoDoBoCoDEBoAAoEFoGHHEFoGoIIFoGoJJ", "size": 6, "moves": 4, "solution": ["I<1", "J<1", "Ev2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoCoDoBoCoDEBoAAoEFoGHHEFoGoIIFoGoJJ\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nI<1,J<1,Ev2,A>2\n"]}} {"board": "ooooooooooooooooBoAAoCBooooCooooDDoo", "size": 6, "moves": 3, "solution": ["B^1", "C^2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooooooooBoAAoCBooooCooooDDoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,C^2,A>4\n"]}} {"board": "AABoooooBoCCoDDoooEEFoooooFoGGooFooo", "size": 6, "moves": 3, "solution": ["D<1", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AABoooooBoCCoDDoooEEFoooooFoGGooFooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv1,A>4\n"]}} {"board": "oooooooooBBBooooCDooooCDoAAooDEEoFFF", "size": 6, "moves": 3, "solution": ["B<1", "D^1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBBBooooCDooooCDoAAooDEEoFFF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,D^1,A>3\n"]}} {"board": "oooBBBooooooooooooooooCDoAAoCDoooEEE", "size": 6, "moves": 3, "solution": ["C^1", "D^1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBooooooooooooooooCDoAAoCDoooEEE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^1,A>3\n"]}} {"board": "oooBBBCoooooCDooooEDAAoFEDoooFEooGGF", "size": 6, "moves": 3, "solution": ["B<1", "F^3", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBCoooooCDooooEDAAoFEDoooFEooGGF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,F^3,A>2\n"]}} {"board": "oBBBoooooooooooooCooAADCooooDooooEEo", "size": 6, "moves": 3, "solution": ["C^1", "D^2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBoooooooooooooCooAADCooooDooooEEo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^2,A>2\n"]}} {"board": "ooBoooooBooooooCCCoooooooAAoDEoFFoDE", "size": 6, "moves": 4, "solution": ["C<2", "D^2", "E^2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoooooBooooooCCCoooooooAAoDEoFFoDE\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,D^2,E^2,A>3\n"]}} {"board": "oBBBCoAAooCDoEFFCDoEoooDoEoGGoHHHooo", "size": 6, "moves": 4, "solution": ["Dv1", "G<1", "Cv2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBCoAAooCDoEFFCDoEoooDoEoGGoHHHooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,G<1,Cv2,A>4\n"]}} {"board": "BooooCBoDAACBoDooCEEDoFFoooGGGoooHHo", "size": 6, "moves": 4, "solution": ["F<1", "G<1", "Cv2", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BooooCBoDAACBoDooCEEDoFFoooGGGoooHHo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,G<1,Cv2,A>1\n"]}} {"board": "oBoooooBCoooAACoooooCDDDEFFoooEooooo", "size": 6, "moves": 3, "solution": ["F>2", "Cv2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoooooBCoooAACoooooCDDDEFFoooEooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF>2,Cv2,A>4\n"]}} {"board": "ooooBoooooBCooooDCAAooDCoEoFFooEoooo", "size": 6, "moves": 4, "solution": ["C^1", "F<1", "Dv2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoooooBCooooDCAAooDCoEoFFooEoooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,F<1,Dv2,A>4\n"]}} {"board": "oBAACDEBFoCDEGFoCDHGooooHGoIIIHJJKKo", "size": 6, "moves": 3, "solution": ["Cv1", "Cv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBAACDEBFoCDEGFoCDHGooooHGoIIIHJJKKo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Cv1,A>2\n"]}} {"board": "oooBoooooBoooAABoCoDooECFDooECFGGoEo", "size": 6, "moves": 3, "solution": ["Bv3", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoooooBoooAABoCoDooECFDooECFGGoEo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv3,Bv1,A>3\n"]}} {"board": "oBBBoCoooooCoooDooAAoDoEoooooEoooFFo", "size": 6, "moves": 3, "solution": ["D^1", "Ev1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBoCoooooCoooDooAAoDoEoooooEoooFFo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,Ev1,A>4\n"]}} {"board": "BooCooBoDCooAADEoFoooEGFooooGFoHHHGo", "size": 6, "moves": 4, "solution": ["D^1", "Ev1", "Ev1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BooCooBoDCooAADEoFoooEGFooooGFoHHHGo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,Ev1,Ev1,A>4\n"]}} {"board": "ooBCCCooBDDDAABoooEoFFFoEoooooEooooo", "size": 6, "moves": 3, "solution": ["F>1", "Bv3", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBCCCooBDDDAABoooEoFFFoEoooooEooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF>1,Bv3,A>4\n"]}} {"board": "oBBBooCooDDDCoEFFFGHEIoJGHoIoJGHoAAJ", "size": 6, "moves": 4, "solution": ["Ev1", "E<1", "J^1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBooCooDDDCoEFFFGHEIoJGHoIoJGHoAAJ\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,E<1,J^1,A>1\n"]}} {"board": "ooooBoooooBooooCCCoooDoEoooDoEoooAAE", "size": 6, "moves": 3, "solution": ["C<1", "E^1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoooooBooooCCCoooDoEoooDoEoooAAE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,E^1,A>1\n"]}} {"board": "AAoooBooCooBooCooBoDCoEEoDFFGGoDoooo", "size": 6, "moves": 3, "solution": ["E<1", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoooBooCooBooCooBoDCoEEoDFFGGoDoooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv1,A>4\n"]}} {"board": "ooooBoooCoBoooCoooooCDDDooooEoAAooEo", "size": 6, "moves": 4, "solution": ["C^1", "D<2", "E^1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoooCoBoooCoooooCDDDooooEoAAooEo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D<2,E^1,A>4\n"]}} {"board": "oooooBoCCCoBooAAoBooooooooooooooooDD", "size": 6, "moves": 3, "solution": ["D<1", "Bv3", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoCCCoBooAAoBooooooooooooooooDD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv3,A>2\n"]}} {"board": "BCCCooBoAADoEEooDoFGGoDoFoHHHoIIIJJJ", "size": 6, "moves": 3, "solution": ["H<1", "Dv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BCCCooBoAADoEEooDoFGGoDoFoHHHoIIIJJJ\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nH<1,Dv1,A>2\n"]}} {"board": "ooBBBooooooooooooooooCoDoooCoDoAACoD", "size": 6, "moves": 3, "solution": ["C^1", "D^1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBooooooooooooooooCoDoooCoDoAACoD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^1,A>3\n"]}} {"board": "oooBBBCoooooCoAADoCEFoDooEFoGGooFooo", "size": 6, "moves": 3, "solution": ["B<2", "D^2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBCoooooCoAADoCEFoDooEFoGGooFooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,D^2,A>2\n"]}} {"board": "oooooooAAoBCooooBCooooDCEEEoDooooooo", "size": 6, "moves": 4, "solution": ["Cv1", "Dv1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooAAoBCooooBCooooDCEEEoDooooooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Dv1,Bv1,A>3\n"]}} {"board": "ooooBCooooBCAAooBDoooooDoooooDoooooo", "size": 6, "moves": 3, "solution": ["Bv3", "Cv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBCooooBCAAooBDoooooDoooooDoooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv3,Cv1,A>4\n"]}} {"board": "ooBBBooooooooooCCCoooooDoooooDAAoooD", "size": 6, "moves": 3, "solution": ["C<1", "D^1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBooooooooooCCCoooooDoooooDAAoooD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,D^1,A>4\n"]}} {"board": "AAoooBCoooDBCoooDEFGHHDEFGoooEooooII", "size": 6, "moves": 4, "solution": ["I<1", "Ev1", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoooBCoooDBCoooDEFGHHDEFGoooEooooII\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nI<1,Ev1,Bv1,A>4\n"]}} {"board": "BBBCCCooAAoDEFGGGDEFooHHooIIooJJJKKK", "size": 6, "moves": 3, "solution": ["H<1", "Dv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBCCCooAAoDEFGGGDEFooHHooIIooJJJKKK\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nH<1,Dv1,A>2\n"]}} {"board": "ooAAoBCCoooBoooooBDDoooEoooooEoooFFo", "size": 6, "moves": 3, "solution": ["Ev1", "Bv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAAoBCCoooBoooooBDDoooEoooooEoooFFo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,Bv1,A>2\n"]}} {"board": "oooooooooooBooCooBAACooBDooEEEDooooo", "size": 6, "moves": 3, "solution": ["B^1", "C^1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooBooCooBAACooBDooEEEDooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,C^1,A>4\n"]}} {"board": "AAoBoooooBoooooBoooooCCCoooooooooooo", "size": 6, "moves": 3, "solution": ["C<3", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoBoooooBoooooBoooooCCCoooooooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<3,Bv1,A>4\n"]}} {"board": "oooooooooBoooooBooAACBooooCoooDDCooo", "size": 6, "moves": 3, "solution": ["B^1", "C^3", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBoooooBooAACBooooCoooDDCooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,C^3,A>4\n"]}} {"board": "oooBBBoCoooooCooooDCooooDooEFoDAAEFo", "size": 6, "moves": 3, "solution": ["E^1", "F^1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBoCoooooCooooDCooooDooEFoDAAEFo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,F^1,A>3\n"]}} {"board": "oooooBoooooBooAAoBCooDDDCoooEECooooo", "size": 6, "moves": 4, "solution": ["D<1", "E<1", "Bv3", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoooooBooAAoBCooDDDCoooEECooooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,E<1,Bv3,A>2\n"]}} {"board": "oAAooBooCCoBDDEoFFooEGGoHHEIIIJJJooo", "size": 6, "moves": 3, "solution": ["F<1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAooBooCCoBDDEoFFooEGGoHHEIIIJJJooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Bv1,A>3\n"]}} {"board": "BoooooBoooooBoCDDDoECooFoECAAFoEoooF", "size": 6, "moves": 4, "solution": ["Cv1", "C<1", "F^2", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoooooBoooooBoCDDDoECooFoECAAFoEoooF\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,C<1,F^2,A>1\n"]}} {"board": "AABoooooBooCooDDoCooooEoFFooEGoHHoEG", "size": 6, "moves": 3, "solution": ["D<2", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AABoooooBooCooDDoCooooEoFFooEGoHHoEG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<2,Bv1,A>4\n"]}} {"board": "BooooCBooooCBoooDoEAAoDFEoooDFEoooGG", "size": 6, "moves": 4, "solution": ["D^2", "G<1", "Fv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BooooCBooooCBoooDoEAAoDFEoooDFEoooGG\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,G<1,Fv1,A>3\n"]}} {"board": "oooooBAAoooBoooooBooooCCoooooooDDEEE", "size": 6, "moves": 3, "solution": ["C<1", "Bv2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBAAoooBoooooBooooCCoooooooDDEEE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,Bv2,A>4\n"]}} {"board": "oooooBoAAooBCCCooDoooooDoooooooooooo", "size": 6, "moves": 3, "solution": ["Dv2", "Bv2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoAAooBCCCooDoooooDoooooooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv2,Bv2,A>3\n"]}} {"board": "ooooooooooooAAoBCooDDBCooooBCooooooo", "size": 6, "moves": 3, "solution": ["Bv1", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooooAAoBCooDDBCooooBCooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>4\n"]}} {"board": "ooooooooooooooooooAABooCooBooCoooooo", "size": 6, "moves": 3, "solution": ["B^2", "C^2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooooooooooAABooCooBooCoooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^2,C^2,A>4\n"]}} {"board": "oooBCoAAoBCoooooCDooEEoDoooooDoooFFF", "size": 6, "moves": 4, "solution": ["Cv2", "E<1", "Bv2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBCoAAoBCoooooCDooEEoDoooooDoooFFF\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,E<1,Bv2,A>4\n"]}} {"board": "AAooBoooCoBoooCDEoooFDEoooFDoooGGHHH", "size": 6, "moves": 3, "solution": ["Ev1", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAooBoooCoBoooCDEoooFDEoooFDoooGGHHH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,Bv1,A>4\n"]}} {"board": "oooBoooAABCoDoooCoDoooEFDGGGEFHHHooF", "size": 6, "moves": 4, "solution": ["Bv2", "Ev1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoooAABCoDoooCoDoooEFDGGGEFHHHooF\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,Ev1,Bv1,A>3\n"]}} {"board": "oBoooooBoooooooCCCoDoooEoDFFFEoDAAoE", "size": 6, "moves": 3, "solution": ["C<1", "E^1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoooooBoooooooCCCoDoooEoDFFFEoDAAoE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,E^1,A>2\n"]}} {"board": "oAAoBoooooBoooooBoCoooDDCooEEECFFFoo", "size": 6, "moves": 3, "solution": ["D<2", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAoBoooooBoooooBoCoooDDCooEEECFFFoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<2,Bv1,A>3\n"]}} {"board": "ooooooAAoooBooCCCBDoEFFFDGEoooDGoHHH", "size": 6, "moves": 4, "solution": ["Ev1", "E<1", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooAAoooBooCCCBDoEFFFDGEoooDGoHHH\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,E<1,Bv1,A>4\n"]}} {"board": "oooBBBCooDDDCoooEoCoAAEoFFFoEoooGGoo", "size": 6, "moves": 4, "solution": ["B<2", "D<2", "E^2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBCooDDDCoooEoCoAAEoFFFoEoooGGoo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,D<2,E^2,A>2\n"]}} {"board": "oooooooBoooooBoCoooAACDoooooDoooooDo", "size": 6, "moves": 3, "solution": ["C^1", "D^3", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooBoooooBoCoooAACDoooooDoooooDo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^3,A>3\n"]}} {"board": "ooBooCoDBAACEDFFooEDGoHHEoGoooooGIIo", "size": 6, "moves": 3, "solution": ["H<1", "Cv2", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBooCoDBAACEDFFooEDGoHHEoGoooooGIIo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nH<1,Cv2,A>1\n"]}} {"board": "oooooooooBoCoAABoCoooBDoEEEoDoooooDo", "size": 6, "moves": 3, "solution": ["Bv2", "B^1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBoCoAABoCoooBDoEEEoDoooooDo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,B^1,A>3\n"]}} {"board": "ooooBoAAooBooooooooCooDDoCoooooCoEEo", "size": 6, "moves": 3, "solution": ["D<2", "Bv2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoAAooBooooooooCooDDoCoooooCoEEo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<2,Bv2,A>4\n"]}} {"board": "oooBoooooBoooooBoCooAADCEFFFDoEoGGoo", "size": 6, "moves": 3, "solution": ["C^1", "D^2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoooooBoooooBoCooAADCEFFFDoEoGGoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^2,A>2\n"]}} {"board": "ooooooBoooooBooCCCBoooDoooooDoAAooDo", "size": 6, "moves": 3, "solution": ["C<2", "D^1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooBoooooBooCCCBoooDoooooDoAAooDo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,D^1,A>4\n"]}} {"board": "oooBBBoooCCCoooDoooooDoEFoAAoEFooooE", "size": 6, "moves": 3, "solution": ["C<1", "E^2", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBoooCCCoooDoooooDoEFoAAoEFooooE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,E^2,A>2\n"]}} {"board": "AAoBoooooBooooCCCoooooooooooooooooDD", "size": 6, "moves": 3, "solution": ["C<2", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoBoooooBooooCCCoooooooooooooooooDD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,Bv1,A>4\n"]}} {"board": "ooooooooBBBCAADooCooDEEEooDoooooooFF", "size": 6, "moves": 3, "solution": ["C^1", "Dv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooBBBCAADooCooDEEEooDoooooooFF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,Dv1,A>4\n"]}} {"board": "BBBoCooAAoCoooooooooooDDooooEEoooooo", "size": 6, "moves": 3, "solution": ["D<2", "Cv2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBoCooAAoCoooooooooooDDooooEEoooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<2,Cv2,A>3\n"]}} {"board": "oBoooCoBoDoCoAADECoooDEoFFoooooGGooo", "size": 6, "moves": 4, "solution": ["Cv3", "Cv2", "C^2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoooCoBoDoCoAADECoooDEoFFoooooGGooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv3,Cv2,C^2,A>3\n"]}} {"board": "oooooooooBooAACBooDECoooDEoooooooFFF", "size": 6, "moves": 3, "solution": ["B^1", "C^2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBooAACBooDECoooDEoooooooFFF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,C^2,A>4\n"]}} {"board": "oooBBBCooDooCAADooCoEEoFoooooFoooooF", "size": 6, "moves": 3, "solution": ["B<3", "D^1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBCooDooCAADooCoEEoFoooooFoooooF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<3,D^1,A>3\n"]}} {"board": "ooBoooooBCCCDoBoooDooEEEDAAFooGGoFHH", "size": 6, "moves": 4, "solution": ["D^2", "E<3", "F^2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoooooBCCCDoBoooDooEEEDAAFooGGoFHH\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,E<3,F^2,A>3\n"]}} {"board": "BoooooBooCDooAACDooooCEEoooooooooooo", "size": 6, "moves": 3, "solution": ["Cv2", "C^1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoooooBooCDooAACDooooCEEoooooooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,C^1,A>3\n"]}} {"board": "ooooooAABCoDooBCoDooBooooooooooooooo", "size": 6, "moves": 4, "solution": ["Bv1", "Bv1", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooAABCoDooBCoDooBooooooooooooooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,Bv1,A>4\n"]}} {"board": "oooAABCCDooBoEDooBFEoGGGFHIJJJFHIooo", "size": 6, "moves": 3, "solution": ["G<1", "Bv1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooAABCCDooBoEDooBFEoGGGFHIJJJFHIooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,Bv1,A>1\n"]}} {"board": "oBAACDoBEFCDoBEFooooEGGGHHHIIoJJooKK", "size": 6, "moves": 3, "solution": ["Cv1", "Cv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBAACDoBEFCDoBEFooooEGGGHHHIIoJJooKK\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Cv1,A>2\n"]}} {"board": "ooAABoooooBoCDooEECDFooGoDFooGooFooG", "size": 6, "moves": 3, "solution": ["E<2", "Bv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAABoooooBoCDooEECDFooGoDFooGooFooG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<2,Bv1,A>2\n"]}} {"board": "ooBCCCooBDDDAAoEFoGooEFoGoooFoGooHHH", "size": 6, "moves": 4, "solution": ["Ev1", "H<2", "Ev1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBCCCooBDDDAAoEFoGooEFoGoooFoGooHHH\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,H<2,Ev1,A>4\n"]}} {"board": "oAABooCCoBoooDDEEoFGoHHHFGIoJJFoIooo", "size": 6, "moves": 3, "solution": ["E>1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAABooCCoBoooDDEEoFGoHHHFGIoJJFoIooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE>1,Bv1,A>3\n"]}} {"board": "oooBCooooBCooAABCooooooooooooooooooo", "size": 6, "moves": 3, "solution": ["Bv3", "Bv3", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBCooooBCooAABCooooooooooooooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv3,Bv3,A>3\n"]}} {"board": "BAACooBooCDDEoFFFoEGGHHHoIIJJJoKKKoo", "size": 6, "moves": 4, "solution": ["Ev1", "E<2", "Cv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BAACooBooCDDEoFFFoEGGHHHoIIJJJoKKKoo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,E<2,Cv1,A>3\n"]}} {"board": "oBAACoDBEECoDooFFFGHHIIIGooJooKKoJLL", "size": 6, "moves": 3, "solution": ["F<2", "Cv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBAACoDBEECoDooFFFGHHIIIGooJooKKoJLL\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<2,Cv1,A>2\n"]}} {"board": "oBBBoooCDooEoCDooEoCDFGooAAFGooHHFGo", "size": 6, "moves": 3, "solution": ["F^2", "G^2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBoooCDooEoCDooEoCDFGooAAFGooHHFGo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^2,G^2,A>3\n"]}} {"board": "oooooooooooooooooooAABoCoooBoCDDoBoC", "size": 6, "moves": 3, "solution": ["B^3", "C^3", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooooooooooAABoCoooBoCDDoBoC\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^3,C^3,A>3\n"]}} {"board": "oooooBoAAooBoooooBoCCDDDooEEEooooFFo", "size": 6, "moves": 4, "solution": ["C<1", "D<1", "Bv2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoAAooBoooooBoCCDDDooEEEooooFFo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,D<1,Bv2,A>3\n"]}} {"board": "oooBBBooCCCooDDDoEFGHHHEFGooIEFoAAIo", "size": 6, "moves": 4, "solution": ["Gv1", "G<1", "I^1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBooCCCooDDDoEFGHHHEFGooIEFoAAIo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nGv1,G<1,I^1,A>2\n"]}} {"board": "ooBAACDoBooCDoBooEDFGGGEoFoooEoFHHHo", "size": 6, "moves": 3, "solution": ["Ev1", "Cv1", "A>1"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBAACDoBooCDoBooEDFGGGEoFoooEoFHHHo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,Cv1,A>1\n"]}} {"board": "oooooBAAoooBoooooBoCoooooCoDDDoCEEoo", "size": 6, "moves": 3, "solution": ["D<1", "Bv2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBAAoooBoooooBoCoooooCoDDDoCEEoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv2,A>4\n"]}} {"board": "oBBBCooAAoCoooooDDoooEoooFFEoooooEoo", "size": 6, "moves": 3, "solution": ["D<2", "Cv2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBCooAAoCoooooDDoooEoooFFEoooooEoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<2,Cv2,A>3\n"]}} {"board": "oBCoDEoBCoDEoBCFDEAAoFoGHIoooGHIoJJo", "size": 6, "moves": 3, "solution": ["F^1", "Gv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBCoDEoBCoDEoBCFDEAAoFoGHIoooGHIoJJo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,Gv1,A>4\n"]}} {"board": "ooAABCDoooBCDEEEBCDooooooFFFooGGoHHH", "size": 6, "moves": 3, "solution": ["Bv1", "Bv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAABCDoooBCDEEEBCDooooooFFFooGGoHHH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>2\n"]}} {"board": "ooooooBoooooBoCCCoBAAoDEooFFDEooooDE", "size": 6, "moves": 4, "solution": ["C<1", "D^3", "E^3", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooBoooooBoCCCoBAAoDEooFFDEooooDE\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,D^3,E^3,A>3\n"]}} {"board": "ooBoooAABoooooBooooooooooCCCoooooooo", "size": 6, "moves": 3, "solution": ["C>2", "Bv2", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoooAABoooooBooooooooooCCCoooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC>2,Bv2,A>4\n"]}} {"board": "oooooooooooBooCCCBooooDBooooDoAAooDo", "size": 6, "moves": 3, "solution": ["C<1", "D^1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooBooCCCBooooDBooooDoAAooDo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,D^1,A>4\n"]}} {"board": "ooooBCooooBCAAooBCDoooooDoooooDooooo", "size": 6, "moves": 3, "solution": ["Bv3", "Bv3", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBCooooBCAAooBCDoooooDoooooDooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv3,Bv3,A>4\n"]}} {"board": "ooooooooooooBBBoCoooAACDoooooDoooooD", "size": 6, "moves": 3, "solution": ["C^1", "D^3", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooooBBBoCoooAACDoooooDoooooD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^3,A>2\n"]}} {"board": "oBBBCoooDoCooEDooooEoFFFooooGoAAooGo", "size": 6, "moves": 4, "solution": ["E^1", "F<2", "G^1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBCoooDoCooEDooooEoFFFooooGoAAooGo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,F<2,G^1,A>4\n"]}} {"board": "AAoBoCDooBoCDooBECDoooEoooooEFoGGooF", "size": 6, "moves": 3, "solution": ["Bv1", "Bv1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoBoCDooBoCDooBECDoooEoooooEFoGGooF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>4\n"]}} {"board": "BooCCCBoooooBDDDooooEoooAAEooooooooo", "size": 6, "moves": 3, "solution": ["D>2", "E^1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BooCCCBoooooBDDDooooEoooAAEooooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD>2,E^1,A>4\n"]}} {"board": "oooooooooBBBooooCoAADoCoooDEooFFDEoo", "size": 6, "moves": 3, "solution": ["Cv2", "C^3", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBBBooooCoAADoCoooDEooFFDEoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,C^3,A>4\n"]}} {"board": "BoooooBooCCCoooooooAAoDooEooDooEooDo", "size": 6, "moves": 3, "solution": ["C<2", "D^3", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoooooBooCCCoooooooAAoDooEooDooEooDo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,D^3,A>3\n"]}} {"board": "oAAooBoooooBooCDDBooCEEEoFoooooFoooo", "size": 6, "moves": 4, "solution": ["C^1", "E<1", "Bv1", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAooBoooooBooCDDBooCEEEoFoooooFoooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,E<1,Bv1,A>3\n"]}} {"board": "BoAAoCBooDoCBooDoEFoGGGEFHoooEFHooII", "size": 6, "moves": 4, "solution": ["I<1", "Ev1", "Cv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoAAoCBooDoCBooDoEFoGGGEFHoooEFHooII\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nI<1,Ev1,Cv1,A>2\n"]}} {"board": "oooBoooCoBoooCoBooooDooEooDoFEAADoFo", "size": 6, "moves": 3, "solution": ["D^1", "F^1", "A>4"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoooCoBoooCoBooooDooEooDoFEAADoFo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,F^1,A>4\n"]}} {"board": "BoCDEoBoCDEoAAoDooFGGGoHFooIIHooJJoH", "size": 6, "moves": 6, "solution": ["Fv1", "F<1", "I<2", "J<1", "Dv3", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoCDEoBoCDEoAAoDooFGGGoHFooIIHooJJoH\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nFv1,F<1,I<2,J<1,Dv3,A>4\n"]}} {"board": "BCooooBCoDDDoAAoEooooFEoGGoFEooooFHH", "size": 6, "moves": 5, "solution": ["F^1", "H<3", "Ev1", "Ev1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BCooooBCoDDDoAAoEooooFEoGGoFEooooFHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,H<3,Ev1,Ev1,A>3\n"]}} {"board": "BoooooBooCCCBoooooAAoDooEooDooEFFFoo", "size": 6, "moves": 5, "solution": ["A>1", "E^1", "F<1", "Ev1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoooooBooCCCBoooooAAoDooEooDooEFFFoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,E^1,F<1,Ev1,A>3\n"]}} {"board": "oBoCCCDBooooDoEoFoooEoFoAAGHFoooGHoo", "size": 6, "moves": 5, "solution": ["E^2", "F^1", "G^2", "H^2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoCCCDBooooDoEoFoooEoFoAAGHFoooGHoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^2,F^1,G^2,H^2,A>4\n"]}} {"board": "oooBoCAADBoCooDBEEooDoFFooGGoHIIoJJH", "size": 6, "moves": 13, "solution": ["D^1", "F<4", "G<2", "Bv3", "H^1", "J>1", "Bv3", "C<3", "F^1", "J<1", "Gv1", "Bv2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoCAADBoCooDBEEooDoFFooGGoHIIoJJH\nOptimal length (moves): 13\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,F<4,G<2,Bv3,H^1,J>1,Bv3,C<3,F^1,J<1,Gv1,Bv2,A>4\n"]}} {"board": "BCoDDDBCAAoEBCFFoEooGGoEHHIJJJooIooo", "size": 6, "moves": 6, "solution": ["F>1", "G<2", "I^2", "J<1", "Ev1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BCoDDDBCAAoEBCFFoEooGGoEHHIJJJooIooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nF>1,G<2,I^2,J<1,Ev1,A>2\n"]}} {"board": "BoooooBoAACDooooCDoEEoCooFoGGGoFHHHo", "size": 6, "moves": 6, "solution": ["Dv1", "E>1", "F^2", "G<2", "Cv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoooooBoAACDooooCDoEEoCooFoGGGoFHHHo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,E>1,F^2,G<2,Cv1,A>2\n"]}} {"board": "oooBBBoooooCoooooCDooooCDoooEFDAAoEF", "size": 6, "moves": 5, "solution": ["B<1", "C^1", "E^1", "F^1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBoooooCoooooCDooooCDoooEFDAAoEF\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,C^1,E^1,F^1,A>3\n"]}} {"board": "oooBBBoooCCCoooDDDoooEFooAAEFoGGoEFo", "size": 6, "moves": 5, "solution": ["C<3", "D<3", "E^2", "F^2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBoooCCCoooDDDoooEFooAAEFoGGoEFo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<3,D<3,E^2,F^2,A>3\n"]}} {"board": "ooBooCAABooCooDEEEoFDooooFoooooFoGGG", "size": 6, "moves": 6, "solution": ["Dv2", "D<1", "Cv3", "C>1", "Bv2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBooCAABooCooDEEEoFDooooFoooooFoGGG\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv2,D<1,Cv3,C>1,Bv2,A>4\n"]}} {"board": "BBBooooooCCCAADooEoFDooEGFHIJKGFHIJK", "size": 6, "moves": 8, "solution": ["B>3", "D^2", "A>3", "Bv2", "B<1", "C<1", "E^2", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBooooooCCCAADooEoFDooEGFHIJKGFHIJK\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nB>3,D^2,A>3,Bv2,B<1,C<1,E^2,A>1\n"]}} {"board": "ooBBBoCCCoDEFFFoDEoAAGDEoHHGIoJJoGIo", "size": 6, "moves": 5, "solution": ["B<2", "D^1", "E^1", "G^3", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBoCCCoDEFFFoDEoAAGDEoHHGIoJJoGIo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,D^1,E^1,G^3,A>3\n"]}} {"board": "BBBooCDooooCDAAooCoooooooooEEEooFFGG", "size": 6, "moves": 5, "solution": ["E<1", "F<1", "G<1", "Cv3", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBooCDooooCDAAooCoooooooooEEEooFFGG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,F<1,G<1,Cv3,A>3\n"]}} {"board": "BoooCoBoooCDooAACDEooFFFEGGoooEooHHH", "size": 6, "moves": 5, "solution": ["D^1", "F<2", "H<2", "Cv3", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoooCoBoooCDooAACDEooFFFEGGoooEooHHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,F<2,H<2,Cv3,A>2\n"]}} {"board": "oooBBBAACoDoooCoDoEoCFFFEoooooEooooo", "size": 6, "moves": 6, "solution": ["C^1", "F<2", "Dv3", "E>2", "Bv2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBAACoDoooCoDoEoCFFFEoooooEooooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,F<2,Dv3,E>2,Bv2,A>4\n"]}} {"board": "BoAACoBoooCoooDEEEooDFoGooDFoGoHHFoG", "size": 6, "moves": 5, "solution": ["H<1", "Dv1", "D<2", "Cv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoAACoBoooCoooDEEEooDFoGooDFoGoHHFoG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nH<1,Dv1,D<2,Cv1,A>2\n"]}} {"board": "ooBoCoooBoCoooAACoDooEEEDoFFFoDoGGGo", "size": 6, "moves": 5, "solution": ["E<2", "F<1", "G<1", "Cv3", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoCoooBoCoooAACoDooEEEDoFFFoDoGGGo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<2,F<1,G<1,Cv3,A>2\n"]}} {"board": "oooooBAAoooBooCCoBooDoooooDEEEooDooo", "size": 6, "moves": 6, "solution": ["A>3", "C<2", "D^2", "E<1", "Bv2", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBAAoooBooCCoBooDoooooDEEEooDooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>3,C<2,D^2,E<1,Bv2,A>1\n"]}} {"board": "oooAABCooooBCDDooBCEEFFFoooooooooooo", "size": 6, "moves": 5, "solution": ["C^1", "E<1", "F<1", "Cv1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooAABCooooBCDDooBCEEFFFoooooooooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,E<1,F<1,Cv1,A>1\n"]}} {"board": "AABCooooBCooooBDDDooooooEoooooEFFooo", "size": 6, "moves": 5, "solution": ["F>2", "Bv3", "C<3", "Bv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AABCooooBCooooBDDDooooooEoooooEFFooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nF>2,Bv3,C<3,Bv1,A>4\n"]}} {"board": "AAooBCoDooBCEDFFBCEDoGGGooHIIIooHoJJ", "size": 6, "moves": 6, "solution": ["A>2", "D^1", "G<2", "Cv1", "Cv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAooBCoDooBCEDFFBCEDoGGGooHIIIooHoJJ\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,D^1,G<2,Cv1,Cv1,A>2\n"]}} {"board": "ooAAoBoCCDDBoooooBEFGHHHEFGIJJEFGIKK", "size": 6, "moves": 6, "solution": ["A>1", "C<1", "G^3", "H<1", "Cv1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAAoBoCCDDBoooooBEFGHHHEFGIJJEFGIKK\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,C<1,G^3,H<1,Cv1,A>1\n"]}} {"board": "oooBCoAAoBCooooBCooooDDooooEEEoooooo", "size": 6, "moves": 5, "solution": ["D<2", "E<3", "Bv2", "Bv2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBCoAAoBCooooBCooooDDooooEEEoooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<2,E<3,Bv2,Bv2,A>4\n"]}} {"board": "oooBoCDAABoCDooEECDoFFFoGGoHHHooIIoo", "size": 6, "moves": 7, "solution": ["D^1", "E<2", "F<2", "Cv2", "H<1", "Cv2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoCDAABoCDooEECDoFFFoGGoHHHooIIoo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E<2,F<2,Cv2,H<1,Cv2,A>3\n"]}} {"board": "BBBoCDAAooCDoooEEEooFFGGHHIJJJooIKKK", "size": 6, "moves": 6, "solution": ["E<2", "F<2", "G<2", "Cv2", "Cv2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBoCDAAooCDoooEEEooFFGGHHIJJJooIKKK\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<2,F<2,G<2,Cv2,Cv2,A>4\n"]}} {"board": "AAoBooooCBooooCDooEEoDFoGHIIFoGHooFo", "size": 6, "moves": 5, "solution": ["F^2", "I>2", "Ev1", "Bv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoBooooCBooooCDooEEoDFoGHIIFoGHooFo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^2,I>2,Ev1,Bv1,A>4\n"]}} {"board": "BBBooooooAACooDooCEFDGGGEFDoHHEFoIII", "size": 6, "moves": 5, "solution": ["B>3", "D^2", "G<1", "Dv1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBooooooAACooDooCEFDGGGEFDoHHEFoIII\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB>3,D^2,G<1,Dv1,A>1\n"]}} {"board": "oAABCDoooBCDoEEBoDFoGGooFoooHHFIIooo", "size": 6, "moves": 5, "solution": ["Cv1", "Cv1", "G<1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAABCDoooBCDoEEBoDFoGGooFoooHHFIIooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Cv1,G<1,Bv1,A>3\n"]}} {"board": "ooooBooCooBDoCAABDEFFoooEoGHHHEoGIII", "size": 6, "moves": 10, "solution": ["C^1", "D^1", "A<2", "F>2", "G^4", "G<1", "H<2", "I<2", "Dv3", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBooCooBDoCAABDEFFoooEoGHHHEoGIII\nOptimal length (moves): 10\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^1,A<2,F>2,G^4,G<1,H<2,I<2,Dv3,A>4\n"]}} {"board": "ooooooAAoBooCooBDDCEoBooFEGGGoFoHHHo", "size": 6, "moves": 7, "solution": ["A>1", "C^2", "E^1", "F^2", "G<2", "Cv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooAAoBooCooBDDCEoBooFEGGGoFoHHHo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,C^2,E^1,F^2,G<2,Cv1,A>3\n"]}} {"board": "oAABoCooDBoCEoDooCEoDFFFGGGHHoooIIJJ", "size": 6, "moves": 6, "solution": ["Bv1", "A>2", "C^1", "F<1", "Cv1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAABoCooDBoCEoDooCEoDFFFGGGHHoooIIJJ\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2,C^1,F<1,Cv1,A>1\n"]}} {"board": "oooBoCDAABoCDooooCDoEEEoFFoGoooooGHH", "size": 6, "moves": 5, "solution": ["Cv2", "C^1", "E<2", "Cv2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoCDAABoCDooooCDoEEEoFFoGoooooGHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,C^1,E<2,Cv2,A>3\n"]}} {"board": "oAAoBooCooBooCooBooCoDDDoooooooEEoFF", "size": 6, "moves": 5, "solution": ["A>1", "C^1", "D<2", "Cv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAoBooCooBooCooBooCoDDDoooooooEEoFF\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,C^1,D<2,Cv1,A>2\n"]}} {"board": "oooooBoooAABoooooCDooEoCDooEFFDooooo", "size": 6, "moves": 5, "solution": ["E^1", "F<1", "Dv2", "Bv2", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoooAABoooooCDooEoCDooEFFDooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,F<1,Dv2,Bv2,A>1\n"]}} {"board": "oooAABooCCoBDooEFFDooEGGoHHEIIooJJJo", "size": 6, "moves": 5, "solution": ["J<2", "Ev1", "E<1", "Bv1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooAABooCCoBDooEFFDooEGGoHHEIIooJJJo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nJ<2,Ev1,E<1,Bv1,A>1\n"]}} {"board": "oAAooBoCDDoBECoooFEGGooFEHIJJJoHIKKo", "size": 6, "moves": 6, "solution": ["G>2", "I^2", "J<1", "Gv1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAooBoCDDoBECoooFEGGooFEHIJJJoHIKKo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nG>2,I^2,J<1,Gv1,Bv1,A>3\n"]}} {"board": "BCCCooBooDoEAAoDoEoFGHIJKFGHIJKFoHoo", "size": 6, "moves": 6, "solution": ["E^1", "A>1", "Bv1", "B<1", "E^1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BCCCooBooDoEAAoDoEoFGHIJKFGHIJKFoHoo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,A>1,Bv1,B<1,E^1,A>3\n"]}} {"board": "oooBBBooAACoDoEoCoDoEoFFDoGGGooooHHH", "size": 6, "moves": 5, "solution": ["G>1", "Ev2", "E<2", "Cv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBooAACoDoEoCoDoEoFFDoGGGooooHHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nG>1,Ev2,E<2,Cv1,A>2\n"]}} {"board": "AAoooBoooooBooCDDBoECFFFoECooooEooGG", "size": 6, "moves": 5, "solution": ["A>3", "C^2", "F<1", "Cv1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoooBoooooBooCDDBoECFFFoECooooEooGG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>3,C^2,F<1,Cv1,A>1\n"]}} {"board": "oBAACDoBooCDEoFooDEoFGGGEHoIIooHooJJ", "size": 6, "moves": 5, "solution": ["Cv1", "F^1", "G<1", "Cv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBAACDoBooCDEoFooDEoFGGGEHoIIooHooJJ\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,F^1,G<1,Cv1,A>2\n"]}} {"board": "ooAABCoDDoBCoEooBCFEoGGGFEoooooooHHH", "size": 6, "moves": 6, "solution": ["D>1", "E^2", "G<2", "Cv1", "Cv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAABCoDDoBCoEooBCFEoGGGFEoooooooHHH\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nD>1,E^2,G<2,Cv1,Cv1,A>2\n"]}} {"board": "oooBooooCBDoAACoDEoFooDEoFoGGooFoHHH", "size": 6, "moves": 8, "solution": ["C^1", "A>2", "E^2", "F^1", "G<1", "H<2", "Ev2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBooooCBDoAACoDEoFooDEoFoGGooFoHHH\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>2,E^2,F^1,G<1,H<2,Ev2,A>2\n"]}} {"board": "oooBBBooAACoooooCooDoEFFoDoEooGGGEoo", "size": 6, "moves": 8, "solution": ["B<3", "A<1", "E^3", "F<2", "Dv3", "E>2", "Cv2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBooAACoooooCooDoEFFoDoEooGGGEoo\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<3,A<1,E^3,F<2,Dv3,E>2,Cv2,A>3\n"]}} {"board": "oooooooooooooooBoooooBoCAAoDECoooDEC", "size": 6, "moves": 5, "solution": ["B^2", "C^2", "D^2", "E^2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooooooBoooooBoCAAoDECoooDEC\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^2,C^2,D^2,E^2,A>4\n"]}} {"board": "ooooBoooooBoAAooBoCDEooFCDEooFCDGGGF", "size": 6, "moves": 5, "solution": ["A>2", "D^1", "G<1", "Bv3", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoooooBoAAooBoCDEooFCDEooFCDGGGF\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,D^1,G<1,Bv3,A>2\n"]}} {"board": "BooCCCBoDEEEBoDFFFGHDooIGHAAoIoHoJJJ", "size": 6, "moves": 5, "solution": ["A>1", "Dv2", "E<1", "I^1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BooCCCBoDEEEBoDFFFGHDooIGHAAoIoHoJJJ\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,Dv2,E<1,I^1,A>1\n"]}} {"board": "AAoooBCCCDDBoEoooBFEoGHHFooGoIFJJJoI", "size": 6, "moves": 6, "solution": ["F^1", "J<1", "Gv1", "G<1", "Bv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoooBCCCDDBoEoooBFEoGHHFooGoIFJJJoI\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,J<1,Gv1,G<1,Bv1,A>4\n"]}} {"board": "BBBooCoooDoCEEEDoCAAFoGoooFoGoHHHoII", "size": 6, "moves": 11, "solution": ["D^1", "G^3", "I<1", "Ev3", "E>3", "F^2", "A>3", "Ev2", "E<1", "G^3", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBooCoooDoCEEEDoCAAFoGoooFoGoHHHoII\nOptimal length (moves): 11\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,G^3,I<1,Ev3,E>3,F^2,A>3,Ev2,E<1,G^3,A>1\n"]}} {"board": "ooooBoCDAABoCDEoBoCDEoFFoGHHoooGoIII", "size": 6, "moves": 9, "solution": ["C^1", "D^1", "H>1", "Ev2", "E<4", "G^2", "H<1", "Dv2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoCDAABoCDEoBoCDEoFFoGHHoooGoIII\nOptimal length (moves): 9\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^1,H>1,Ev2,E<4,G^2,H<1,Dv2,A>2\n"]}} {"board": "oBoooooBCCCooooooDAAooEDFGooEDFGooEo", "size": 6, "moves": 6, "solution": ["D^2", "A>2", "Bv2", "C<1", "E^3", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoooooBCCCooooooDAAooEDFGooEDFGooEo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,A>2,Bv2,C<1,E^3,A>2\n"]}} {"board": "ooBoooAABoooCCBDDooEFFFGHEooIGHoooIG", "size": 6, "moves": 8, "solution": ["G^3", "G>1", "Bv2", "A>3", "D^2", "G<1", "Cv2", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoooAABoooCCBDDooEFFFGHEooIGHoooIG\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nG^3,G>1,Bv2,A>3,D^2,G<1,Cv2,A>1\n"]}} {"board": "oooooBoooAABoooooBooCoDDEECFFFooCooo", "size": 6, "moves": 5, "solution": ["C^2", "D<1", "F<1", "Bv2", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoooAABoooooBooCoDDEECFFFooCooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,D<1,F<1,Bv2,A>1\n"]}} {"board": "ooooooBoCCCoBooDoEFAADoEFooooEFooGGG", "size": 6, "moves": 6, "solution": ["B^1", "E^2", "F^1", "G<3", "Fv2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooBoCCCoBooDoEFAADoEFooooEFooGGG\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,E^2,F^1,G<3,Fv2,A>3\n"]}} {"board": "oAABoCoooBoCoooDDCEEEoFFoGGGHoooIIHo", "size": 6, "moves": 5, "solution": ["D<2", "Bv1", "F<1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAABoCoooBoCoooDDCEEEoFFoGGGHoooIIHo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<2,Bv1,F<1,Bv1,A>3\n"]}} {"board": "BoooooBoooooCoDEEECFDoGooFHIGoAAHIGo", "size": 6, "moves": 6, "solution": ["D^2", "E<2", "G^1", "H^1", "I^1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoooooBoooooCoDEEECFDoGooFHIGoAAHIGo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,E<2,G^1,H^1,I^1,A>4\n"]}} {"board": "oooooBoAAooBoooCCoooDEEEFFDoooooDooo", "size": 6, "moves": 5, "solution": ["A>2", "D^3", "E<1", "Cv2", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoAAooBoooCCoooDEEEFFDoooooDooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,D^3,E<1,Cv2,A>1\n"]}} {"board": "oAABoCoooBoCooDoEEFoDGHoFoDGHoFooGHo", "size": 6, "moves": 5, "solution": ["Dv1", "D<3", "Bv1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAABoCoooBoCooDoEEFoDGHoFoDGHoFooGHo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,D<3,Bv1,Bv1,A>3\n"]}} {"board": "ooBBBCooDooCooDooCAADoooEoFFooEooooo", "size": 6, "moves": 8, "solution": ["Cv1", "B>1", "C^1", "A>3", "Bv1", "B<1", "D^1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBCooDooCooDooCAADoooEoFFooEooooo\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,B>1,C^1,A>3,Bv1,B<1,D^1,A>1\n"]}} {"board": "oBoooooBoCCCDoooEFDAAoEFooGGEFHHHooo", "size": 6, "moves": 6, "solution": ["A>1", "Bv2", "B<2", "E^2", "F^2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoooooBoCCCDoooEFDAAoEFooGGEFHHHooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,Bv2,B<2,E^2,F^2,A>2\n"]}} {"board": "oBAACoDBooCoDBoEEEDooFFFooGooHIIGooH", "size": 6, "moves": 6, "solution": ["G^1", "I>2", "Bv3", "D<2", "Bv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBAACoDBooCoDBoEEEDooFFFooGooHIIGooH\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nG^1,I>2,Bv3,D<2,Bv1,A>2\n"]}} {"board": "oAABoCoDDBoCEEFFooGoHIIIGJHoKKGJHooo", "size": 6, "moves": 12, "solution": ["A<1", "D<1", "F>1", "H^3", "I<1", "K<1", "Dv4", "F>1", "Cv1", "H>1", "Bv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAABoCoDDBoCEEFFooGoHIIIGJHoKKGJHooo\nOptimal length (moves): 12\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<1,D<1,F>1,H^3,I<1,K<1,Dv4,F>1,Cv1,H>1,Bv1,A>4\n"]}} {"board": "oBBBoooooCCCDDDoooAAEooFooEooFooEooF", "size": 6, "moves": 10, "solution": ["B>2", "D>3", "E^3", "A>3", "Bv3", "B<1", "C<1", "D<1", "F^3", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBoooooCCCDDDoooAAEooFooEooFooEooF\nOptimal length (moves): 10\nReturn only the and blocks.", "\nShortest path found.\n\n\nB>2,D>3,E^3,A>3,Bv3,B<1,C<1,D<1,F^3,A>1\n"]}} {"board": "oBBBoooCCCoooAADoEoooDoEooFFoEGGGoHH", "size": 6, "moves": 5, "solution": ["F<1", "Dv1", "H<1", "Dv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBoooCCCoooAADoEoooDoEooFFoEGGGoHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Dv1,H<1,Dv1,A>3\n"]}} {"board": "oooBBBoCoooooCoDEFAAoDEFoooDoooooooo", "size": 6, "moves": 5, "solution": ["B<3", "D^2", "E^1", "F^1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBoCoooooCoDEFAAoDEFoooDoooooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<3,D^2,E^1,F^1,A>4\n"]}} {"board": "oooooBCooAABCooDDBCEEEFFGoooHoGoIIHo", "size": 6, "moves": 5, "solution": ["C^1", "E<1", "F<1", "Cv2", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBCooAABCooDDBCEEEFFGoooHoGoIIHo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,E<1,F<1,Cv2,A>1\n"]}} {"board": "ooooooooAABoooooBoooCoDDoECooooECFFF", "size": 6, "moves": 6, "solution": ["A<2", "C^3", "D<4", "Bv2", "Bv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooAABoooooBoooCoDDoECooooECFFF\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<2,C^3,D<4,Bv2,Bv1,A>4\n"]}} {"board": "oooAABooCCoBDDoEoBFFFEGGooHHIoooooIo", "size": 6, "moves": 5, "solution": ["C<1", "E^1", "G<1", "Bv1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooAABooCCoBDDoEoBFFFEGGooHHIoooooIo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,E^1,G<1,Bv1,A>1\n"]}} {"board": "oooooooooooooAAoBCooooBCoooooCooDDEE", "size": 6, "moves": 5, "solution": ["B^2", "D<1", "E<1", "Cv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooooAAoBCooooBCoooooCooDDEE\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^2,D<1,E<1,Cv1,A>3\n"]}} {"board": "oooBBBoCCCoDEoAAFDEGoHFDEGoHoooGIIJJ", "size": 6, "moves": 6, "solution": ["Fv1", "F^1", "I<1", "J<1", "Dv2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBoCCCoDEoAAFDEGoHFDEGoHoooGIIJJ\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nFv1,F^1,I<1,J<1,Dv2,A>2\n"]}} {"board": "ooBCCCooBDooAAoDooEFFFoGEooooGEooHHH", "size": 6, "moves": 5, "solution": ["A>1", "E^3", "F<1", "Ev2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBCCCooBDooAAoDooEFFFoGEooooGEooHHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,E^3,F<1,Ev2,A>3\n"]}} {"board": "oAAoBoCDooBoCDoEEECFGGoHoFIIIHoFoooo", "size": 6, "moves": 5, "solution": ["A>1", "D^1", "E<2", "Cv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAoBoCDooBoCDoEEECFGGoHoFIIIHoFoooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,D^1,E<2,Cv1,A>2\n"]}} {"board": "BCoooDBCEFoDBCEFoooGEFHIoGJoHIAAJoHI", "size": 6, "moves": 5, "solution": ["E^1", "H^1", "I^1", "J^1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BCoooDBCEFoDBCEFoooGEFHIoGJoHIAAJoHI\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,H^1,I^1,J^1,A>4\n"]}} {"board": "oBooooCBDEEECBDoFoCoooFoAAooFooooooo", "size": 6, "moves": 6, "solution": ["Dv1", "A>2", "Bv2", "C<2", "F^1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBooooCBDEEECBDoFoCoooFoAAooFooooooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,A>2,Bv2,C<2,F^1,A>2\n"]}} {"board": "BBBCoooooCDEoAACDEoooFFFGHHHIIGoooJJ", "size": 6, "moves": 7, "solution": ["D^1", "E^1", "G^3", "G<3", "H<1", "Cv3", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBCoooooCDEoAACDEoooFFFGHHHIIGoooJJ\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E^1,G^3,G<3,H<1,Cv3,A>3\n"]}} {"board": "oBoCCCoBoDoEoBoDoEAAFoGoHoFoGoHoooGo", "size": 6, "moves": 6, "solution": ["F^2", "A>2", "Bv1", "B<2", "G^3", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoCCCoBoDoEoBoDoEAAFoGoHoFoGoHoooGo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^2,A>2,Bv1,B<2,G^3,A>2\n"]}} {"board": "oooooooBoooooBoCCCoAADoEoFoDoEoFoDoE", "size": 6, "moves": 5, "solution": ["B^1", "C<3", "D^3", "E^3", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooBoooooBoCCCoAADoEoFoDoEoFoDoE\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,C<3,D^3,E^3,A>3\n"]}} {"board": "BoAACoBDEoCoFDEoGGFDHHHoFoooIIoJJKKK", "size": 6, "moves": 5, "solution": ["H>1", "Ev2", "F<2", "Cv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoAACoBDEoCoFDEoGGFDHHHoFoooIIoJJKKK\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nH>1,Ev2,F<2,Cv1,A>2\n"]}} {"board": "ooooooooBoCoAABoCoDoooCoDooEEEooFFFo", "size": 6, "moves": 5, "solution": ["B^1", "E<2", "F<1", "Cv2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooBoCoAABoCoDoooCoDooEEEooFFFo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,E<2,F<1,Cv2,A>4\n"]}} {"board": "AABooCooBDDCEEBFoCGooFHHGooFIJooooIJ", "size": 6, "moves": 10, "solution": ["Bv2", "C<3", "E^2", "F^2", "Gv1", "G<4", "Bv1", "Bv1", "Bv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AABooCooBDDCEEBFoCGooFHHGooFIJooooIJ\nOptimal length (moves): 10\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,C<3,E^2,F^2,Gv1,G<4,Bv1,Bv1,Bv1,A>4\n"]}} {"board": "ooBooooCBooDECFFFDEoAAGDEoooGHIIooGH", "size": 6, "moves": 5, "solution": ["C^1", "D^1", "F<1", "G^3", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBooooCBooDECFFFDEoAAGDEoooGHIIooGH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^1,F<1,G^3,A>2\n"]}} {"board": "BooCDoBooCDEooAADEFFGGoooHIJJJoHIooo", "size": 6, "moves": 11, "solution": ["E^1", "G>2", "F>2", "H^4", "A<2", "G<2", "I^4", "I<2", "J<2", "Fv3", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BooCDoBooCDEooAADEFFGGoooHIJJJoHIooo\nOptimal length (moves): 11\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,G>2,F>2,H^4,A<2,G<2,I^4,I<2,J<2,Fv3,A>4\n"]}} {"board": "ooooooBAACDoBEECDFGoHIoFGJHIoFGJHKKK", "size": 6, "moves": 13, "solution": ["B^1", "C^1", "Dv2", "D>2", "F^1", "G^1", "J^1", "K<3", "Gv1", "F>1", "Hv1", "Cv2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooBAACDoBEECDFGoHIoFGJHIoFGJHKKK\nOptimal length (moves): 13\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,C^1,Dv2,D>2,F^1,G^1,J^1,K<3,Gv1,F>1,Hv1,Cv2,A>3\n"]}} {"board": "BoooCDBAAoCDBoooEEoFoGGoHFoIIIHJJKKo", "size": 6, "moves": 5, "solution": ["E<2", "Dv2", "G<1", "Cv2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoooCDBAAoCDBoooEEoFoGGoHFoIIIHJJKKo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<2,Dv2,G<1,Cv2,A>3\n"]}} {"board": "BooCCCBDoEEEBDFFFGAAHooGooHIIIJJKKKo", "size": 6, "moves": 5, "solution": ["E<1", "G^1", "K>1", "Hv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BooCCCBDoEEEBDFFFGAAHooGooHIIIJJKKKo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,G^1,K>1,Hv1,A>4\n"]}} {"board": "BBBooCAAoooCooooooDEFFGGDEHIIoDEHooo", "size": 6, "moves": 7, "solution": ["B>2", "A>2", "E^3", "F<1", "G<1", "Dv2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBooCAAoooCooooooDEFFGGDEHIIoDEHooo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nB>2,A>2,E^3,F<1,G<1,Dv2,A>2\n"]}} {"board": "BAACoDBEoCoDoEFFoDGoHHHoGIIIoJGoKKKJ", "size": 6, "moves": 6, "solution": ["Dv1", "I>1", "Dv2", "E<1", "Cv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BAACoDBEoCoDoEFFoDGoHHHoGIIIoJGoKKKJ\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,I>1,Dv2,E<1,Cv1,A>3\n"]}} {"board": "oooBBBCCCooooAAoDoEEooDooFooDooFGGHH", "size": 6, "moves": 6, "solution": ["E>2", "F^1", "G<2", "H<2", "Dv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBCCCooooAAoDoEEooDooFooDooFGGHH\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nE>2,F^1,G<2,H<2,Dv1,A>3\n"]}} {"board": "ooAAoBCoDDDBCooEEFoGoooFoGHHIIoGoJJJ", "size": 6, "moves": 6, "solution": ["G^2", "H<1", "I<1", "Gv1", "Bv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAAoBCoDDDBCooEEFoGoooFoGHHIIoGoJJJ\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nG^2,H<1,I<1,Gv1,Bv1,A>2\n"]}} {"board": "BoooooBooooCBAAooCoDDEoCooFEGGooFEoo", "size": 6, "moves": 9, "solution": ["A>2", "D<1", "F^4", "A<2", "F^2", "G<3", "Dv2", "Dv2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoooooBooooCBAAooCoDDEoCooFEGGooFEoo\nOptimal length (moves): 9\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,D<1,F^4,A<2,F^2,G<3,Dv2,Dv2,A>3\n"]}} {"board": "oooBBBooCCCooDDDEFAAooEFoGGooFoooHHH", "size": 6, "moves": 5, "solution": ["B<1", "C<1", "E^1", "F^2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBooCCCooDDDEFAAooEFoGGooFoooHHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,C<1,E^1,F^2,A>4\n"]}} {"board": "ooooooooooooAAoBCooooBCooDDECoFFoEGG", "size": 6, "moves": 5, "solution": ["B^2", "E^1", "G<2", "Cv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooooAAoBCooooBCooDDECoFFoEGG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^2,E^1,G<2,Cv1,A>4\n"]}} {"board": "oooooooooooooooAABoooCoBoooCoBoooCDD", "size": 6, "moves": 6, "solution": ["A<2", "C^1", "D<3", "Bv1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooooooAABoooCoBoooCoBoooCDD\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<2,C^1,D<3,Bv1,Bv1,A>3\n"]}} {"board": "BooCCCBoooooBooDoooAADEooFFDEoGGHHEo", "size": 6, "moves": 5, "solution": ["Bv1", "B<3", "D^2", "E^3", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BooCCCBoooooBooDoooAADEooFFDEoGGHHEo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,B<3,D^2,E^3,A>3\n"]}} {"board": "ooAABCooooBCDEEEFCDoGGFoHoIIIoHoooJJ", "size": 6, "moves": 5, "solution": ["Cv1", "I<1", "Fv1", "Bv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAABCooooBCDEEEFCDoGGFoHoIIIoHoooJJ\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,I<1,Fv1,Bv1,A>2\n"]}} {"board": "BBBooCoDoAACoDEooCoDEFFoGGGHIIoooHoo", "size": 6, "moves": 8, "solution": ["B>2", "D^1", "E^1", "F<2", "H^2", "I<1", "Dv2", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBooCoDoAACoDEooCoDEFFoGGGHIIoooHoo\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nB>2,D^1,E^1,F<2,H^2,I<1,Dv2,A>1\n"]}} {"board": "ooooooBAAooCBoDDoCBoEFFFGoEoooGoEooo", "size": 6, "moves": 6, "solution": ["A>2", "D>1", "E^3", "F<1", "Dv1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooBAAooCBoDDoCBoEFFFGoEoooGoEooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,D>1,E^3,F<1,Dv1,A>1\n"]}} {"board": "oBBBCoDoooCoDooEEEAAFGooooFGoooooGoo", "size": 6, "moves": 7, "solution": ["B<1", "Fv1", "A>1", "Dv2", "D<3", "F^3", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBCoDoooCoDooEEEAAFGooooFGoooooGoo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,Fv1,A>1,Dv2,D<3,F^3,A>3\n"]}} {"board": "ooBooCAABooCooDEEoooDFFFGGoooooooooo", "size": 6, "moves": 6, "solution": ["Dv2", "E<1", "Cv4", "D>1", "Bv2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBooCAABooCooDEEoooDFFFGGoooooooooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv2,E<1,Cv4,D>1,Bv2,A>4\n"]}} {"board": "oooooooBBBoooCCCooooDEooAADEooooFFFo", "size": 6, "moves": 6, "solution": ["B<1", "C<1", "E^3", "D>3", "E^1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooBBBoooCCCooooDEooAADEooooFFFo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,C<1,E^3,D>3,E^1,A>4\n"]}} {"board": "ooooBoooAABoooooBoooooCCoDoEEEoDoooo", "size": 6, "moves": 5, "solution": ["C<2", "D^2", "E<2", "Bv2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoooAABoooooBoooooCCoDoEEEoDoooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,D^2,E<2,Bv2,A>2\n"]}} {"board": "oooBoooAABoooooCDDoooCEEooFoooooFGGG", "size": 6, "moves": 5, "solution": ["F^1", "G<3", "Cv2", "Bv2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoooAABoooooCDDoooCEEooFoooooFGGG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,G<3,Cv2,Bv2,A>3\n"]}} {"board": "ooooooooBCCCDoBoEoDAAoEFDoooEFoGGHHH", "size": 6, "moves": 8, "solution": ["D^2", "A<1", "G<1", "Cv3", "C<2", "D^2", "E^2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooBCCCDoBoEoDAAoEFDoooEFoGGHHH\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,A<1,G<1,Cv3,C<2,D^2,E^2,A>4\n"]}} {"board": "ooBBBoooAACDooEECDFGoHHHFGoIIoFGJJJo", "size": 6, "moves": 5, "solution": ["G^3", "H<2", "Dv1", "Dv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBoooAACDooEECDFGoHHHFGoIIoFGJJJo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nG^3,H<2,Dv1,Dv1,A>2\n"]}} {"board": "ooBoCooDBoCooDBEEEoDAAoFoooGoFHHoGoF", "size": 6, "moves": 5, "solution": ["A>1", "Bv3", "D<1", "F^3", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoCooDBoCooDBEEEoDAAoFoooGoFHHoGoF\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,Bv3,D<1,F^3,A>1\n"]}} {"board": "oooBoooAABooooooooooCDDDooCoooooCooo", "size": 6, "moves": 7, "solution": ["A<1", "C^3", "D<3", "Cv4", "C>3", "Bv2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoooAABooooooooooCDDDooCoooooCooo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<1,C^3,D<3,Cv4,C>3,Bv2,A>4\n"]}} {"board": "ooooooooooooBooCCCBooDDDooEFGoAAEFGo", "size": 6, "moves": 6, "solution": ["B^1", "E^3", "E<3", "F^1", "G^1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooooBooCCCBooDDDooEFGoAAEFGo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,E^3,E<3,F^1,G^1,A>4\n"]}} {"board": "oooooBooooCBoAAoCBDEFFCoDEooooDEGGHH", "size": 6, "moves": 8, "solution": ["A>1", "D^1", "E^1", "G<2", "H<2", "Bv3", "Bv2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBooooCBoAAoCBDEFFCoDEooooDEGGHH\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,D^1,E^1,G<2,H<2,Bv3,Bv2,A>2\n"]}} {"board": "oooBBBoooooooooCCCAAoDEooFFDEooooDEo", "size": 6, "moves": 5, "solution": ["B<3", "C<3", "D^3", "E^3", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBoooooooooCCCAAoDEooFFDEooooDEo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<3,C<3,D^3,E^3,A>4\n"]}} {"board": "ooAAoBoooCCBDEoooBDEFGGGHoFoIIHoFooo", "size": 6, "moves": 5, "solution": ["A>1", "F^3", "G<1", "Cv1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAAoBoooCCBDEoooBDEFGGGHoFoIIHoFooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,F^3,G<1,Cv1,A>1\n"]}} {"board": "BBBCooAAoCooDooCooDooEEEooFFooGGoooo", "size": 6, "moves": 6, "solution": ["A>1", "D^1", "E<3", "F<1", "Cv2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBCooAAoCooDooCooDooEEEooFFooGGoooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,D^1,E<3,F<1,Cv2,A>3\n"]}} {"board": "ooooooooBCCCooBDoEAABDoEoooooEooooFF", "size": 6, "moves": 7, "solution": ["B^1", "Dv2", "A>3", "Bv2", "B<1", "D^2", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooBCCCooBDoEAABDoEoooooEooooFF\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,Dv2,A>3,Bv2,B<1,D^2,A>1\n"]}} {"board": "AAoBooCooBooCooDDDEoooooEoooFFoooooo", "size": 6, "moves": 5, "solution": ["A>1", "C^1", "D<3", "Cv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoBooCooBooCooDDDEoooooEoooFFoooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,C^1,D<3,Cv1,A>3\n"]}} {"board": "ooAAoBoooooBoCCCoBoDEEFFoDoGGGoDoHHH", "size": 6, "moves": 6, "solution": ["C>1", "D^3", "E<1", "F<1", "Cv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAAoBoooooBoCCCoBoDEEFFoDoGGGoDoHHH\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nC>1,D^3,E<1,F<1,Cv1,A>2\n"]}} {"board": "ooooooooooBoCDAABoCDEEBooDoFoooGGFHH", "size": 6, "moves": 7, "solution": ["D^2", "E<1", "F^1", "G<1", "H<2", "Cv2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooBoCDAABoCDEEBooDoFoooGGFHH\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,E<1,F^1,G<1,H<2,Cv2,A>2\n"]}} {"board": "ooooooooBCCCooBooooAAoDoooEEDoooooDo", "size": 6, "moves": 6, "solution": ["A<1", "E<2", "Bv3", "B<2", "C^3", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooBCCCooBooooAAoDoooEEDoooooDo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<1,E<2,Bv3,B<2,C^3,A>4\n"]}} {"board": "BBBooooooCoooooCooooDEFoooDEFoAADEFo", "size": 6, "moves": 5, "solution": ["C^1", "D^1", "E^1", "F^1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBooooooCoooooCooooDEFoooDEFoAADEFo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^1,E^1,F^1,A>4\n"]}} {"board": "oooooBoooCDBAAoCDBEoFFFoEoGGHHEIIIoo", "size": 6, "moves": 6, "solution": ["C^1", "D^1", "G<1", "H<1", "Dv3", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoooCDBAAoCDBEoFFFoEoGGHHEIIIoo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^1,G<1,H<1,Dv3,A>4\n"]}} {"board": "BBBooCooooDCEoAADCEFFoDoEGooHHoGIIIo", "size": 6, "moves": 7, "solution": ["F>1", "G^1", "H<2", "Cv3", "I<1", "Cv2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBooCooooDCEoAADCEFFoDoEGooHHoGIIIo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nF>1,G^1,H<2,Cv3,I<1,Cv2,A>2\n"]}} {"board": "AAoBCooDoBCooDoBEEoDooooFGGGoHFooooH", "size": 6, "moves": 6, "solution": ["F^2", "G<1", "Bv3", "E<2", "Bv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoBCooDoBCooDoBEEoDooooFGGGoHFooooH\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^2,G<1,Bv3,E<2,Bv1,A>4\n"]}} {"board": "BoCCCoBoooooBooDDDooAAEFooooEFooooEF", "size": 6, "moves": 5, "solution": ["C<1", "D<2", "E^3", "F^3", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoCCCoBoooooBooDDDooAAEFooooEFooooEF\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,D<2,E^3,F^3,A>2\n"]}} {"board": "AAoooBooCCoBoooooBDoEFFFDoEoooDoEooo", "size": 6, "moves": 6, "solution": ["A>3", "C<2", "E^3", "F<1", "Cv1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoooBooCCoBoooooBDoEFFFDoEoooDoEooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>3,C<2,E^3,F<1,Cv1,A>1\n"]}} {"board": "oooooBoCDoEBoCDoEooCDFFFAAoGoooooGHH", "size": 6, "moves": 5, "solution": ["C^1", "D^1", "F<3", "G^2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoCDoEBoCDoEooCDFFFAAoGoooooGHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^1,F<3,G^2,A>4\n"]}} {"board": "ooBCCCooBDDDEFBooGEFAAoGoFoHHGIIIJJJ", "size": 6, "moves": 6, "solution": ["A>1", "Bv2", "B<1", "C<1", "G^2", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBCCCooBDDDEFBooGEFAAoGoFoHHGIIIJJJ\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,Bv2,B<1,C<1,G^2,A>1\n"]}} {"board": "oooooBooAAoBCooDDBCEFoGGoEFHHHoEFIII", "size": 6, "moves": 6, "solution": ["A>1", "F^2", "G<1", "H<1", "Bv2", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBooAAoBCooDDBCEFoGGoEFHHHoEFIII\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,F^2,G<1,H<1,Bv2,A>1\n"]}} {"board": "BooCCCBooDoEBAADoEFFGGHooIIoHoJJoooo", "size": 6, "moves": 5, "solution": ["Ev3", "Gv1", "F>2", "Dv2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BooCCCBooDoEBAADoEFFGGHooIIoHoJJoooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv3,Gv1,F>2,Dv2,A>3\n"]}} {"board": "BooCCCBooDoEAAoDoEFoGHHEFoGoIIooGJJJ", "size": 6, "moves": 10, "solution": ["A>1", "Bv1", "B<3", "D^1", "A>2", "G^1", "I<1", "J<1", "Ev2", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BooCCCBooDoEAAoDoEFoGHHEFoGoIIooGJJJ\nOptimal length (moves): 10\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,Bv1,B<3,D^1,A>2,G^1,I<1,J<1,Ev2,A>1\n"]}} {"board": "oAABCooooBCooDDBooEFFFGoEHooGoEHoIII", "size": 6, "moves": 5, "solution": ["Cv1", "E^3", "F<1", "Cv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAABCooooBCooDDBooEFFFGoEHooGoEHoIII\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,E^3,F<1,Cv1,A>3\n"]}} {"board": "oooooBoooAABoooooBoooCCCoDDEEEFFoooo", "size": 6, "moves": 5, "solution": ["C<1", "D<1", "E<1", "Bv2", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoooAABoooooBoooCCCoDDEEEFFoooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,D<1,E<1,Bv2,A>1\n"]}} {"board": "BBBCooAADCEoFFDCEoooGGEooooHHoIIIJJJ", "size": 6, "moves": 6, "solution": ["G<2", "Dv1", "H<2", "Cv2", "Cv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBCooAADCEoFFDCEoooGGEooooHHoIIIJJJ\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<2,Dv1,H<2,Cv2,Cv1,A>4\n"]}} {"board": "BCAADoBCEEDoBFooDooFGGGoHHHooIoJJKKI", "size": 6, "moves": 8, "solution": ["H>2", "I^1", "K>1", "J>1", "Fv2", "F<1", "Dv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BCAADoBCEEDoBFooDooFGGGoHHHooIoJJKKI\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nH>2,I^1,K>1,J>1,Fv2,F<1,Dv1,A>2\n"]}} {"board": "oooBooAAoBoooCCCDEoooFDEoGGFDoHHIIoo", "size": 6, "moves": 5, "solution": ["C<1", "I>2", "Fv1", "Bv2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBooAAoBoooCCCDEoooFDEoGGFDoHHIIoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,I>2,Fv1,Bv2,A>4\n"]}} {"board": "oooBBBCCCDooAAoDEooFFFEoGHHHEoGooIII", "size": 6, "moves": 5, "solution": ["B<3", "D^1", "I<2", "Ev1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBCCCDooAAoDEooFFFEoGHHHEoGooIII\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<3,D^1,I<2,Ev1,A>4\n"]}} {"board": "oooBooAAoBooCooBooCooDDDCooEEEoooooo", "size": 6, "moves": 6, "solution": ["A>1", "C^2", "D<3", "E<3", "Cv2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBooAAoBooCooBooCooDDDCooEEEoooooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,C^2,D<3,E<3,Cv2,A>3\n"]}} {"board": "oAABCooooBCoooooDoEFooDoEFoGGoEooooo", "size": 6, "moves": 5, "solution": ["Bv1", "G<1", "Dv1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAABCooooBCoooooDoEFooDoEFoGGoEooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,G<1,Dv1,Bv1,A>3\n"]}} {"board": "oooBBBCDooooCDEEEooFGooHoFGIoHAAGIoH", "size": 6, "moves": 8, "solution": ["E>1", "G^1", "I^1", "A>3", "Ev1", "E<1", "I^1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBCDooooCDEEEooFGooHoFGIoHAAGIoH\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nE>1,G^1,I^1,A>3,Ev1,E<1,I^1,A>1\n"]}} {"board": "oooooBAACooBooCDDDooCEoooFFEoooooEGG", "size": 6, "moves": 5, "solution": ["F<1", "Cv2", "C<1", "Bv2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBAACooBooCDDDooCEoooFFEoooooEGG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Cv2,C<1,Bv2,A>4\n"]}} {"board": "ooAABoCooDBoCEEDBoFFGoHHooGIIIoJJKKK", "size": 6, "moves": 5, "solution": ["J<1", "Gv1", "G<2", "Bv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAABoCooDBoCEEDBoFFGoHHooGIIIoJJKKK\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nJ<1,Gv1,G<2,Bv1,A>2\n"]}} {"board": "oooBBBoooCCCoooooDoooooDooooEFoAAoEF", "size": 6, "moves": 5, "solution": ["C<1", "D^1", "E^1", "F^1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBoooCCCoooooDoooooDooooEFoAAoEF\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,D^1,E^1,F^1,A>3\n"]}} {"board": "oooooBoCAAoBoCoDDDoEEFFFoGGHHHIIIooo", "size": 6, "moves": 5, "solution": ["D<1", "E<1", "F<1", "Bv2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoCAAoBoCoDDDoEEFFFoGGHHHIIIooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,E<1,F<1,Bv2,A>2\n"]}} {"board": "ooooBooCCCBDoAAoBDooEEEDooFFFooooooo", "size": 6, "moves": 5, "solution": ["Dv2", "D<1", "F<1", "Bv3", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBooCCCBDoAAoBDooEEEDooFFFooooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv2,D<1,F<1,Bv3,A>3\n"]}} {"board": "ooooBCooooBCAAooBCDoEoFFDoEoooooEGGo", "size": 6, "moves": 10, "solution": ["A>1", "D^3", "A<1", "E^3", "F<4", "Ev3", "G<3", "Cv3", "Cv3", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBCooooBCAAooBCDoEoFFDoEoooooEGGo\nOptimal length (moves): 10\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,D^3,A<1,E^3,F<4,Ev3,G<3,Cv3,Cv3,A>4\n"]}} {"board": "BCoDDDBCoEEEBCoFFFooAAoGHHIIoGooJJoG", "size": 6, "moves": 5, "solution": ["D<1", "E<1", "F<1", "G^3", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BCoDDDBCoEEEBCoFFFooAAoGHHIIoGooJJoG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,E<1,F<1,G^3,A>2\n"]}} {"board": "ooAAoBCooDDBCEEFFFGGGooHooIIIHoJJJoH", "size": 6, "moves": 5, "solution": ["C^1", "E<1", "F<1", "Cv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAAoBCooDDBCEEFFFGGGooHooIIIHoJJJoH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,E<1,F<1,Cv1,A>2\n"]}} {"board": "ooooBoooCoBoAACoBoooDDDoooEEooooooFF", "size": 6, "moves": 5, "solution": ["C^1", "D<1", "F<2", "Cv3", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoooCoBoAACoBoooDDDoooEEooooooFF\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D<1,F<2,Cv3,A>4\n"]}} {"board": "oBBBoCDoAAoCDEoFFGDEoooGoEHHIIooJJoo", "size": 6, "moves": 6, "solution": ["E^1", "H<1", "I<1", "Gv2", "Cv2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBoCDoAAoCDEoFFGDEoooGoEHHIIooJJoo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,H<1,I<1,Gv2,Cv2,A>2\n"]}} {"board": "oooBCoAAoBCoDooBCoDooEEEoooooooooooo", "size": 6, "moves": 5, "solution": ["Dv2", "D<3", "Bv2", "Bv2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBCoAAoBCoDooBCoDooEEEoooooooooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv2,D<3,Bv2,Bv2,A>4\n"]}} {"board": "ooooBCDDDoBCooooBooooEEEAAFGoHooFGoH", "size": 6, "moves": 9, "solution": ["E<3", "G^3", "F>3", "G^2", "A>3", "Fv2", "F<1", "H^2", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBCDDDoBCooooBooooEEEAAFGoHooFGoH\nOptimal length (moves): 9\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<3,G^3,F>3,G^2,A>3,Fv2,F<1,H^2,A>1\n"]}} {"board": "AABCooooBCoooooCooDoEEEoDFFoooGGGooo", "size": 6, "moves": 5, "solution": ["Bv1", "D^2", "E<2", "Bv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AABCooooBCoooooCooDoEEEoDFFoooGGGooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,D^2,E<2,Bv1,A>4\n"]}} {"board": "oBBBCoDoooCEDAAoCEFGoooEFGoHHHFoIIoo", "size": 6, "moves": 6, "solution": ["A>1", "G^1", "H<2", "Cv3", "Dv2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBCoDoooCEDAAoCEFGoooEFGoHHHFoIIoo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,G^1,H<2,Cv3,Dv2,A>2\n"]}} {"board": "ooooBoAACoBoooCoBoooDoEEooDooooFFGGG", "size": 6, "moves": 6, "solution": ["F<1", "Dv1", "D<4", "Bv2", "Bv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoAACoBoooCoBoooDoEEooDooooFFGGG\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Dv1,D<4,Bv2,Bv1,A>4\n"]}} {"board": "BCooooBCoDDDooooooooEooFAAEooFooEooF", "size": 6, "moves": 6, "solution": ["E^2", "A>3", "Dv1", "D<1", "F^2", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BCooooBCoDDDooooooooEooFAAEooFooEooF\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^2,A>3,Dv1,D<1,F^2,A>1\n"]}} {"board": "ooooBoooooBoAAooBooooooooCoDDDoCEEoo", "size": 6, "moves": 5, "solution": ["A>2", "C^2", "D<2", "Bv3", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoooooBoAAooBooooooooCoDDDoCEEoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,C^2,D<2,Bv3,A>2\n"]}} {"board": "oBBBooooooCDAAooCDEoFFFDEGHIIIEGHJJo", "size": 6, "moves": 9, "solution": ["C^1", "D^1", "A>3", "F>1", "H^3", "G<1", "I<1", "Dv3", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBooooooCDAAooCDEoFFFDEGHIIIEGHJJo\nOptimal length (moves): 9\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^1,A>3,F>1,H^3,G<1,I<1,Dv3,A>1\n"]}} {"board": "oooooBoAAooBCDDooBCoEFFFooEGGGooEHHH", "size": 6, "moves": 7, "solution": ["A>2", "D>2", "E^3", "F<1", "G<1", "Cv2", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoAAooBCDDooBCoEFFFooEGGGooEHHH\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,D>2,E^3,F<1,G<1,Cv2,A>1\n"]}} {"board": "AAoBoooCoBDDoCoBEoFGoHEoFGoHEIFGoJJI", "size": 6, "moves": 5, "solution": ["I^1", "J>1", "Hv1", "Bv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoBoooCoBDDoCoBEoFGoHEoFGoHEIFGoJJI\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nI^1,J>1,Hv1,Bv1,A>4\n"]}} {"board": "oooBBBCoDDDoCoEEEoCoFoGHAAFoGHooIIJJ", "size": 6, "moves": 7, "solution": ["D>1", "E>1", "F^3", "F<2", "G^1", "H^1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBCoDDDoCoEEEoCoFoGHAAFoGHooIIJJ\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nD>1,E>1,F^3,F<2,G^1,H^1,A>4\n"]}} {"board": "oBBBCoooooCoAAooCoooooDDooooEEooFFFo", "size": 6, "moves": 5, "solution": ["D<2", "E<2", "F<1", "Cv3", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBCoooooCoAAooCoooooDDooooEEooFFFo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<2,E<2,F<1,Cv3,A>4\n"]}} {"board": "ooBoooAABooCooBDoCoooDoCEooDFFEooooo", "size": 6, "moves": 7, "solution": ["D^1", "E^2", "F<4", "Bv2", "Bv1", "Bv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoooAABooCooBDoCoooDoCEooDFFEooooo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E^2,F<4,Bv2,Bv1,Bv1,A>4\n"]}} {"board": "BBBooCoDoAACoDEEoCFoooooFGGHHHIIIJJJ", "size": 6, "moves": 5, "solution": ["F^1", "G<1", "H<1", "Cv2", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBooCoDoAACoDEEoCFoooooFGGHHHIIIJJJ\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,G<1,H<1,Cv2,A>1\n"]}} {"board": "ooBooCoDBAACEDBFFFEoooooooGGoooooooo", "size": 6, "moves": 5, "solution": ["G<2", "Bv3", "E<1", "Bv2", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBooCoDBAACEDBFFFEoooooooGGoooooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<2,Bv3,E<1,Bv2,A>1\n"]}} {"board": "oooBBBoooooCoooooCAADooCooDoEEooDooo", "size": 6, "moves": 6, "solution": ["D^3", "A>3", "Bv1", "B<1", "D^1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBoooooCoooooCAADooCooDoEEooDooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^3,A>3,Bv1,B<1,D^1,A>1\n"]}} {"board": "oBCooooBCoooooCDDDEoAAoFEGoooFoGHHII", "size": 6, "moves": 5, "solution": ["G^1", "H<1", "I<1", "Gv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBCooooBCoooooCDDDEoAAoFEGoooFoGHHII\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nG^1,H<1,I<1,Gv1,A>2\n"]}} {"board": "BoooooBoooooBoCCCDooEooDAAEooDooEooo", "size": 6, "moves": 8, "solution": ["Dv1", "C>1", "D^2", "A>3", "Cv2", "C<1", "E^2", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoooooBoooooBoCCCDooEooDAAEooDooEooo\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,C>1,D^2,A>3,Cv2,C<1,E^2,A>1\n"]}} {"board": "oBBBCoooAACDEFFFCDEGGHHoooIIIoJJKKLL", "size": 6, "moves": 7, "solution": ["Dv1", "D^1", "G<1", "H<1", "I<1", "Cv2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBCoooAACDEFFFCDEGGHHoooIIIoJJKKLL\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,D^1,G<1,H<1,I<1,Cv2,A>2\n"]}} {"board": "oooooooBBBoooooooooooCooAADCEoooDCEo", "size": 6, "moves": 5, "solution": ["B<1", "C^2", "D^2", "E^2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooBBBoooooooooooCooAADCEoooDCEo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,C^2,D^2,E^2,A>4\n"]}} {"board": "oAABooCooBooCooDDDCooEEoFFFoGGoooHHH", "size": 6, "moves": 5, "solution": ["F>1", "Cv2", "C<3", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAABooCooBooCooDDDCooEEoFFFoGGoooHHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nF>1,Cv2,C<3,Bv1,A>3\n"]}} {"board": "BooCCCBoooooDooEooDAAEFoGGoEFoHHooFo", "size": 6, "moves": 7, "solution": ["G>1", "Dv1", "Bv1", "B<3", "D^2", "F^3", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BooCCCBoooooDooEooDAAEFoGGoEFoHHooFo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nG>1,Dv1,Bv1,B<3,D^2,F^3,A>3\n"]}} {"board": "ooooBCoAAoBCoooDoooEoDFFoEoDoooEoooo", "size": 6, "moves": 7, "solution": ["D^2", "F<2", "Cv4", "Cv4", "D>2", "Bv2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBCoAAoBCoooDoooEoDFFoEoDoooEoooo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,F<2,Cv4,Cv4,D>2,Bv2,A>3\n"]}} {"board": "ooooBoooAABoooooCCoooDEEoooDooFFoooo", "size": 6, "moves": 5, "solution": ["C<2", "Dv1", "D<2", "Bv2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoooAABoooooCCoooDEEoooDooFFoooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,Dv1,D<2,Bv2,A>2\n"]}} {"board": "BoCooDBoCooDoAAoEDFFFGEooooGHHoooGoo", "size": 6, "moves": 6, "solution": ["E^2", "G^2", "H<3", "Ev3", "Ev2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoCooDBoCooDoAAoEDFFFGEooooGHHoooGoo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^2,G^2,H<3,Ev3,Ev2,A>3\n"]}} {"board": "oAAoBoooCoBooDCoBooDoEEEFDoGooFHHGoo", "size": 6, "moves": 5, "solution": ["A>1", "D^2", "E<2", "Cv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAoBoooCoBooDCoBooDoEEEFDoGooFHHGoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,D^2,E<2,Cv1,A>2\n"]}} {"board": "BCooooBCoDDDoCooooooooEooAAoEoooooEo", "size": 6, "moves": 5, "solution": ["A>1", "Cv2", "C<2", "E^2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BCooooBCoDDDoCooooooooEooAAoEoooooEo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,Cv2,C<2,E^2,A>2\n"]}} {"board": "ooBBBoooCCCDoooEoDAAoEoDoooEFFoooooo", "size": 6, "moves": 5, "solution": ["B<2", "C<2", "D^1", "E^2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBoooCCCDoooEoDAAoEoDoooEFFoooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,C<2,D^1,E^2,A>4\n"]}} {"board": "oAAoBooCCoBoDoEEFFDoGHooIoGHJJIKKHoo", "size": 6, "moves": 5, "solution": ["D^2", "E<2", "F<2", "Cv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAoBooCCoBoDoEEFFDoGHooIoGHJJIKKHoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,E<2,F<2,Cv1,A>3\n"]}} {"board": "ooooBoCDDDBoCoAABEFoGGGEFHHHoEFIIoJJ", "size": 6, "moves": 8, "solution": ["C^1", "F^1", "G<1", "I<1", "J<2", "Cv3", "Ev1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoCDDDBoCoAABEFoGGGEFHHHoEFIIoJJ\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,F^1,G<1,I<1,J<2,Cv3,Ev1,A>2\n"]}} {"board": "BoooCoBoAACoDEooCoDEoFFFDEoGGHoooooH", "size": 6, "moves": 5, "solution": ["E^2", "F<2", "G<1", "Dv2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoooCoBoAACoDEooCoDEoFFFDEoGGHoooooH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^2,F<2,G<1,Dv2,A>2\n"]}} {"board": "oooBoooooBCoooDBCoEoDFFFEooGoHoAAGoH", "size": 6, "moves": 6, "solution": ["D^1", "E^2", "F<3", "G^1", "H^1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoooooBCoooDBCoEoDFFFEooGoHoAAGoH\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E^2,F<3,G^1,H^1,A>3\n"]}} {"board": "oooBBBoCoDDDoCEEEFoGooHFoGIoHoAAIoHo", "size": 6, "moves": 5, "solution": ["C^1", "E<1", "H^1", "I^1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBoCoDDDoCEEEFoGooHFoGIoHoAAIoHo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,E<1,H^1,I^1,A>4\n"]}} {"board": "ooooBCoAAoBCooooDoEFooDoEFoooGEooHHG", "size": 6, "moves": 5, "solution": ["Cv2", "H<1", "Cv2", "Bv2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBCoAAoBCooooDoEFooDoEFoooGEooHHG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,H<1,Cv2,Bv2,A>3\n"]}} {"board": "AABooCooBoDCooBoDCoEEEooFoGGHoFoooHo", "size": 6, "moves": 7, "solution": ["E>2", "Bv1", "A>3", "C^1", "E<1", "Cv1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AABooCooBoDCooBoDCoEEEooFoGGHoFoooHo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nE>2,Bv1,A>3,C^1,E<1,Cv1,A>1\n"]}} {"board": "oooBBBooooooCCCoooooDoooAADEooooDEoo", "size": 6, "moves": 5, "solution": ["B<3", "E^4", "D>3", "E^2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBooooooCCCoooooDoooAADEooooDEoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<3,E^4,D>3,E^2,A>4\n"]}} {"board": "ooooooooBCCCAABooDooBooDEooFFDEGGHHo", "size": 6, "moves": 5, "solution": ["Dv1", "E^1", "G<1", "Bv2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooBCCCAABooDooBooDEooFFDEGGHHo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,E^1,G<1,Bv2,A>4\n"]}} {"board": "AAoBoooooBoCDEEFFCDooGGGoooooooHHooo", "size": 6, "moves": 5, "solution": ["G<1", "Cv2", "E>1", "Bv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoBoooooBoCDEEFFCDooGGGoooooooHHooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,Cv2,E>1,Bv1,A>4\n"]}} {"board": "ooBoCoAABoCDoEoooDFEoGoDFEHGIIFoHooo", "size": 6, "moves": 6, "solution": ["Bv2", "Bv2", "G^1", "I<1", "Bv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoCoAABoCDoEoooDFEoGoDFEHGIIFoHooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,Bv2,G^1,I<1,Bv1,A>4\n"]}} {"board": "AAoBoooooBCCDEEEFFDoGGHoDIIJHKLLLJHK", "size": 6, "moves": 7, "solution": ["G<1", "J^1", "L>1", "Dv1", "D<1", "Bv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoBoooooBCCDEEEFFDoGGHoDIIJHKLLLJHK\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,J^1,L>1,Dv1,D<1,Bv1,A>4\n"]}} {"board": "ooooBoAAooBoCDEoBoCDEFFooDGGGoooooHH", "size": 6, "moves": 10, "solution": ["A>2", "C^1", "D^2", "G>1", "Ev2", "E<3", "F^2", "G<2", "Cv2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoAAooBoCDEoBoCDEFFooDGGGoooooHH\nOptimal length (moves): 10\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,C^1,D^2,G>1,Ev2,E<3,F^2,G<2,Cv2,A>2\n"]}} {"board": "oooBoooooBCooAADCooooDCooEEEoooooFFo", "size": 6, "moves": 5, "solution": ["E<1", "Dv1", "F<1", "Cv2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoooooBCooAADCooooDCooEEEoooooFFo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Dv1,F<1,Cv2,A>3\n"]}} {"board": "ooooooBBBCooAAoCoDEooCoDEoooFFEooGGG", "size": 6, "moves": 6, "solution": ["A>1", "D^2", "E^1", "G<3", "Dv2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooBBBCooAAoCoDEooCoDEoooFFEooGGG\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,D^2,E^1,G<3,Dv2,A>3\n"]}} {"board": "oBoooCoBooDCoBAADCooEoooooEFFoooEGGG", "size": 6, "moves": 6, "solution": ["D^1", "A>1", "E^1", "G<1", "Dv3", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoooCoBooDCoBAADCooEoooooEFFoooEGGG\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>1,E^1,G<1,Dv3,A>1\n"]}} {"board": "ooooBoCCCoBooAADBoEEoDFFooGHHoooGooo", "size": 6, "moves": 8, "solution": ["A<1", "D^2", "G^2", "H<3", "Ev2", "F<2", "Cv3", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoCCCoBooAADBoEEoDFFooGHHoooGooo\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<1,D^2,G^2,H<3,Ev2,F<2,Cv3,A>4\n"]}} {"board": "oooooBooAAoBooCCoBoooDDDoEEFFFoooooo", "size": 6, "moves": 5, "solution": ["D<1", "E<1", "F<1", "Bv2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBooAAoBooCCoBoooDDDoEEFFFoooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,E<1,F<1,Bv2,A>2\n"]}} {"board": "oooooooBBBoooooooCooDooCAADooCooDEEE", "size": 6, "moves": 7, "solution": ["B>2", "D^2", "A>3", "Bv1", "B<1", "D^1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooBBBoooooooCooDooCAADooCooDEEE\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nB>2,D^2,A>3,Bv1,B<1,D^1,A>1\n"]}} {"board": "oAAooBoCCDDBEEEooBFGGGHHFIIIJJFooKKo", "size": 6, "moves": 6, "solution": ["E>1", "F^3", "G<1", "H<1", "Cv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAooBoCCDDBEEEooBFGGGHHFIIIJJFooKKo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nE>1,F^3,G<1,H<1,Cv1,A>3\n"]}} {"board": "ooBBBCoAAooCooDEoCoFDEooGFDHHHGFoooo", "size": 6, "moves": 5, "solution": ["A>2", "D^1", "H<1", "Cv2", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBCoAAooCooDEoCoFDEooGFDHHHGFoooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,D^1,H<1,Cv2,A>1\n"]}} {"board": "oooooBoAAooBCCDDoBEoFGGGEoFoHoEoFoHo", "size": 6, "moves": 6, "solution": ["A>2", "D>1", "F^3", "G<1", "Cv2", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoAAooBCCDDoBEoFGGGEoFoHoEoFoHo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,D>1,F^3,G<1,Cv2,A>1\n"]}} {"board": "oooooooooooooooBBBooCooDAACooDooCEEE", "size": 6, "moves": 5, "solution": ["B<1", "D^3", "C>1", "D^2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooooooBBBooCooDAACooDooCEEE\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,D^3,C>1,D^2,A>4\n"]}} {"board": "oBCCCoDBooooDoooEoooAAEFooooEFGGoooF", "size": 6, "moves": 5, "solution": ["Bv1", "B<1", "E^2", "F^3", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBCCCoDBooooDoooEoooAAEFooooEFGGoooF\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,B<1,E^2,F^3,A>2\n"]}} {"board": "BCCCDEBAAoDEBFoooEoFoGGGHIIIooHoooJJ", "size": 6, "moves": 6, "solution": ["A>1", "F^1", "G<2", "Dv2", "Dv2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BCCCDEBAAoDEBFoooEoFoGGGHIIIooHoooJJ\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,F^1,G<2,Dv2,Dv2,A>2\n"]}} {"board": "ooooBoAAooBoooooBoooCDDoEoCoooEoCooo", "size": 6, "moves": 5, "solution": ["C^3", "D<3", "Bv2", "Bv2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoAAooBoooooBoooCDDoEoCoooEoCooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^3,D<3,Bv2,Bv2,A>4\n"]}} {"board": "AAoBooCCoBooDoEFFFDoEGoooHHGIIoooGJJ", "size": 6, "moves": 8, "solution": ["A>1", "C>1", "D^2", "H<1", "Ev1", "E<3", "Cv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoBooCCoBooDoEFFFDoEGoooHHGIIoooGJJ\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,C>1,D^2,H<1,Ev1,E<3,Cv1,A>3\n"]}} {"board": "BooooCBooAACoDDooCoooooooEFGGGoEFooo", "size": 6, "moves": 5, "solution": ["D<1", "F^2", "G<1", "Cv2", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BooooCBooAACoDDooCoooooooEFGGGoEFooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,F^2,G<1,Cv2,A>1\n"]}} {"board": "oBCDDDoBCoooEoFFFGEHAAoGoHoIIGoHoJJJ", "size": 6, "moves": 9, "solution": ["A>1", "J<1", "Gv1", "F>1", "Cv3", "C<1", "E<1", "H^3", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBCDDDoBCoooEoFFFGEHAAoGoHoIIGoHoJJJ\nOptimal length (moves): 9\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,J<1,Gv1,F>1,Cv3,C<1,E<1,H^3,A>1\n"]}} {"board": "ooBBBoooCCCDAAooEDFFGGEooHHIEoJJoIKK", "size": 6, "moves": 10, "solution": ["B<2", "C<2", "D^1", "E^2", "G>2", "I^4", "H<2", "K<2", "Dv3", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBoooCCCDAAooEDFFGGEooHHIEoJJoIKK\nOptimal length (moves): 10\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,C<2,D^1,E^2,G>2,I^4,H<2,K<2,Dv3,A>4\n"]}} {"board": "oooooBooooCBooooCDAAoECDoooEFFGGGHHo", "size": 6, "moves": 5, "solution": ["C^1", "E^2", "F<1", "Ev2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBooooCBooooCDAAoECDoooEFFGGGHHo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,E^2,F<1,Ev2,A>4\n"]}} {"board": "oooooooBoCCCoBooDEFoAADEFoooDoFooooo", "size": 6, "moves": 5, "solution": ["Bv1", "B<2", "D^2", "E^1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooBoCCCoBooDEFoAADEFoooDoFooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,B<2,D^2,E^1,A>2\n"]}} {"board": "BBBoooCCCDDDEooFFFEGHIJooGHIJKAAoIJK", "size": 6, "moves": 6, "solution": ["Ev1", "E<3", "I^1", "J^1", "K^1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBoooCCCDDDEooFFFEGHIJooGHIJKAAoIJK\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,E<3,I^1,J^1,K^1,A>4\n"]}} {"board": "BoooooBCCCooooDDDooooEoooAAEoooooEoo", "size": 6, "moves": 5, "solution": ["Bv3", "B<1", "C<2", "E^2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoooooBCCCooooDDDooooEoooAAEoooooEoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv3,B<1,C<2,E^2,A>3\n"]}} {"board": "oBAAoCoBooDCooooDCooEFFFooEoGGooEHHH", "size": 6, "moves": 5, "solution": ["A>1", "E^3", "F<1", "Dv1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBAAoCoBooDCooooDCooEFFFooEoGGooEHHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,E^3,F<1,Dv1,A>1\n"]}} {"board": "oooooBooCCCBoooDooAAoDoEoFoooEoFoGGG", "size": 6, "moves": 5, "solution": ["C<2", "D^1", "G<1", "Ev1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBooCCCBoooDooAAoDoEoFoooEoFoGGG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,D^1,G<1,Ev1,A>4\n"]}} {"board": "AAoBCoDDDBCoEooFFFEoooGGEHHHooIIoooo", "size": 6, "moves": 6, "solution": ["I>1", "Ev1", "E<3", "Bv1", "Bv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoBCoDDDBCoEooFFFEoooGGEHHHooIIoooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nI>1,Ev1,E<3,Bv1,Bv1,A>4\n"]}} {"board": "ooAAoBooCCoBDDoooEoFFGoEHHoGoEoooGII", "size": 6, "moves": 5, "solution": ["G^1", "I<1", "Fv1", "Bv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAAoBooCCoBDDoooEoFFGoEHHoGoEoooGII\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nG^1,I<1,Fv1,Bv1,A>2\n"]}} {"board": "oooBoooooBooooooCooDoECooDFEGoAAFEGo", "size": 6, "moves": 5, "solution": ["C^1", "E^1", "F^1", "G^1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoooooBooooooCooDoECooDFEGoAAFEGo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,E^1,F^1,G^1,A>4\n"]}} {"board": "oooBoCoooBoCAAoooCoooDDoEFFGGGEooHHH", "size": 6, "moves": 7, "solution": ["A>1", "E^2", "F<1", "G<1", "H<1", "Cv3", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoCoooBoCAAoooCoooDDoEFFGGGEooHHH\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,E^2,F<1,G<1,H<1,Cv3,A>3\n"]}} {"board": "BoooooBCCCoooAADEoFFoDEoooGoEoooGoHH", "size": 6, "moves": 5, "solution": ["Dv1", "G^1", "H<2", "Dv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoooooBCCCoooAADEoFFoDEoooGoEoooGoHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,G^1,H<2,Dv1,A>3\n"]}} {"board": "oooooBoAAooBoooooBCDEoFFCDEGGGCDEoHH", "size": 6, "moves": 6, "solution": ["A>2", "E^2", "F<1", "G<1", "Bv2", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoAAooBoooooBCDEoFFCDEGGGCDEoHH\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,E^2,F<1,G<1,Bv2,A>1\n"]}} {"board": "oooBBBAAoooCooDEoCoFDEGGoFHHIIoFooJJ", "size": 6, "moves": 7, "solution": ["A>2", "F^2", "H<1", "Fv2", "F<1", "Dv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBAAoooCooDEoCoFDEGGoFHHIIoFooJJ\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,F^2,H<1,Fv2,F<1,Dv1,A>2\n"]}} {"board": "ooooooBoAAoCBoDDoCBEEEFFGooooHGooooH", "size": 6, "moves": 5, "solution": ["B^1", "E<1", "F<1", "Cv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooBoAAoCBoDDoCBEEEFFGooooHGooooH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,E<1,F<1,Cv1,A>2\n"]}} {"board": "oooBoCDDDBECoAAoEooFGoEooFGoooooGoHH", "size": 6, "moves": 6, "solution": ["A<1", "G^1", "H<4", "Ev2", "Ev1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoCDDDBECoAAoEooFGoEooFGoooooGoHH\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<1,G^1,H<4,Ev2,Ev1,A>4\n"]}} {"board": "oBCDDDoBCooEoBAAFEGoooFHGoIIFHooJJJH", "size": 6, "moves": 7, "solution": ["J<1", "Fv1", "A>1", "Cv1", "C<1", "E^1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBCDDDoBCooEoBAAFEGoooFHGoIIFHooJJJH\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nJ<1,Fv1,A>1,Cv1,C<1,E^1,A>1\n"]}} {"board": "oBoooooBoCCCoBooDoAAooDoooooDoEEEoFF", "size": 6, "moves": 5, "solution": ["A>2", "Bv2", "B<2", "D^2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoooooBoCCCoBooDoAAooDoooooDoEEEoFF\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,Bv2,B<2,D^2,A>2\n"]}} {"board": "BBBCoDoEoCoDoEFAADooFGGGHHHoIIJJKKoo", "size": 6, "moves": 5, "solution": ["F^1", "G<1", "I<1", "Dv3", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBCoDoEoCoDoEFAADooFGGGHHHoIIJJKKoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,G<1,I<1,Dv3,A>1\n"]}} {"board": "ooooBoCAAoBoCoDDooooEFFGooEHHGooEIIG", "size": 6, "moves": 8, "solution": ["Cv3", "A<1", "C<2", "D^3", "E<3", "Bv2", "Bv2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoCAAoBoCoDDooooEFFGooEHHGooEIIG\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv3,A<1,C<2,D^3,E<3,Bv2,Bv2,A>4\n"]}} {"board": "ooooooooooooAAoooBoooCoBDooCoBDooCEE", "size": 6, "moves": 5, "solution": ["C^1", "E<3", "Bv1", "Bv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooooAAoooBoooCoBDooCoBDooCEE\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,E<3,Bv1,Bv1,A>4\n"]}} {"board": "BAAoCDBEEECDooFFoDoGoooHIGJKKHIGJLLL", "size": 6, "moves": 6, "solution": ["Cv1", "J^1", "L<1", "Iv1", "Cv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BAAoCDBEEECDooFFoDoGoooHIGJKKHIGJLLL\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,J^1,L<1,Iv1,Cv1,A>3\n"]}} {"board": "oAAooBoCCCoBoDDEEBFFGHoIooGHoIooGJJJ", "size": 6, "moves": 6, "solution": ["D<1", "G^1", "J<1", "Iv1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAooBoCCCoBoDDEEBFFGHoIooGHoIooGJJJ\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,G^1,J<1,Iv1,Bv1,A>3\n"]}} {"board": "AAoBoCoooBoCDDDBEFGooHEFGIoHooGIJJoo", "size": 6, "moves": 6, "solution": ["Fv1", "Cv1", "J>2", "Gv1", "Bv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoBoCoooBoCDDDBEFGooHEFGIoHooGIJJoo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nFv1,Cv1,J>2,Gv1,Bv1,A>4\n"]}} {"board": "BBBoooAAooCDooooCDEoooCoEFFGGHEooooH", "size": 6, "moves": 7, "solution": ["A>1", "Dv1", "E^2", "F<1", "G<1", "Dv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBoooAAooCDooooCDEoooCoEFFGGHEooooH\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,Dv1,E^2,F<1,G<1,Dv1,A>3\n"]}} {"board": "ooAAoBCCoooBDEEEFFDGHIIooGHoJKoGHoJK", "size": 6, "moves": 5, "solution": ["Dv1", "D<1", "E<1", "Bv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAAoBCCoooBDEEEFFDGHIIooGHoJKoGHoJK\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,D<1,E<1,Bv1,A>2\n"]}} {"board": "oBBBoCoooooCoooooCAADoooEEDFFoooDoGG", "size": 6, "moves": 8, "solution": ["Cv1", "B>2", "D^3", "A>3", "Bv1", "B<1", "D^1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBoCoooooCoooooCAADoooEEDFFoooDoGG\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,B>2,D^3,A>3,Bv1,B<1,D^1,A>1\n"]}} {"board": "AAoBCooDDBCoooEEFFooGooHIIGJJHoKKooH", "size": 6, "moves": 10, "solution": ["D<1", "E<2", "G^3", "G<2", "J<1", "Dv3", "F>2", "Bv1", "Bv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoBCooDDBCoooEEFFooGooHIIGJJHoKKooH\nOptimal length (moves): 10\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,E<2,G^3,G<2,J<1,Dv3,F>2,Bv1,Bv1,A>4\n"]}} {"board": "ooooBoAAoCBooDDCBoooECooooEFFGooEooG", "size": 6, "moves": 7, "solution": ["D<1", "E^2", "F<3", "Bv2", "Bv1", "Bv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoAAoCBooDDCBoooECooooEFFGooEooG\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,E^2,F<3,Bv2,Bv1,Bv1,A>4\n"]}} {"board": "ooooBoCoooBoCAAoBooDEooooDEoFFoDooGG", "size": 6, "moves": 7, "solution": ["C^1", "A<1", "E^3", "F<2", "G<2", "Dv3", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoCoooBoCAAoBooDEooooDEoFFoDooGG\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A<1,E^3,F<2,G<2,Dv3,A>4\n"]}} {"board": "AAoBCDoEEBCDFoGGGDFHIIoJFHoKKJoHooLL", "size": 6, "moves": 8, "solution": ["Fv1", "F<2", "Bv1", "Bv1", "L<1", "Jv1", "Bv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoBCDoEEBCDFoGGGDFHIIoJFHoKKJoHooLL\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nFv1,F<2,Bv1,Bv1,L<1,Jv1,Bv1,A>4\n"]}} {"board": "oooBoCoooBoCDoEFFFDoEooGooEoHGAAooHG", "size": 6, "moves": 6, "solution": ["H^1", "A>3", "Ev1", "E<1", "H^1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoCoooBoCDoEFFFDoEooGooEoHGAAooHG\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nH^1,A>3,Ev1,E<1,H^1,A>1\n"]}} {"board": "oAAoBoCCooBoooDDBooEFoGGoEFoHHooFIII", "size": 6, "moves": 8, "solution": ["A<1", "D<2", "Ev1", "E^3", "F<4", "Bv1", "Bv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAoBoCCooBoooDDBooEFoGGoEFoHHooFIII\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<1,D<2,Ev1,E^3,F<4,Bv1,Bv1,A>4\n"]}} {"board": "oAAoBooCDoBooCDEEEFFooGGHHIIIJKKKooJ", "size": 6, "moves": 14, "solution": ["A<1", "D^1", "E<1", "G<1", "J^4", "F>1", "J>1", "Bv3", "A>2", "D^1", "E<2", "Cv1", "Cv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAoBooCDoBooCDEEEFFooGGHHIIIJKKKooJ\nOptimal length (moves): 14\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<1,D^1,E<1,G<1,J^4,F>1,J>1,Bv3,A>2,D^1,E<2,Cv1,Cv1,A>2\n"]}} {"board": "AAoBCDoEoBCDoEoFFFooGoooooGoHHooGoII", "size": 6, "moves": 6, "solution": ["Ev2", "E<3", "Bv1", "Bv1", "Bv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoBCDoEoBCDoEoFFFooGoooooGoHHooGoII\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv2,E<3,Bv1,Bv1,Bv1,A>4\n"]}} {"board": "ooooBoAAooBoooCDEEFoCDGGFHoDooFHoooo", "size": 6, "moves": 7, "solution": ["Cv2", "C^2", "F<3", "Bv3", "C<2", "Bv2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoAAooBoooCDEEFoCDGGFHoDooFHoooo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,C^2,F<3,Bv3,C<2,Bv2,A>4\n"]}} {"board": "BCCCDoBEooDooEoFoooEoFoGAAoHoGIIoHoG", "size": 6, "moves": 6, "solution": ["Bv1", "B<1", "F^2", "G^2", "H^2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BCCCDoBEooDooEoFoooEoFoGAAoHoGIIoHoG\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,B<1,F^2,G^2,H^2,A>4\n"]}} {"board": "oooBBBoooCDoAAoCDoEFFFDoEoGoHHEoGoII", "size": 6, "moves": 15, "solution": ["B<2", "D^1", "F>2", "G^3", "G<2", "H<3", "I<2", "Cv3", "B>2", "C^1", "A>1", "E^3", "F<1", "Ev2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBoooCDoAAoCDoEFFFDoEoGoHHEoGoII\nOptimal length (moves): 15\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,D^1,F>2,G^3,G<2,H<3,I<2,Cv3,B>2,C^1,A>1,E^3,F<1,Ev2,A>3\n"]}} {"board": "BoooCoBAAoCoBooDCooooDoooooDEEFFoooo", "size": 6, "moves": 5, "solution": ["D^1", "E<3", "Cv2", "Cv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoooCoBAAoCoBooDCooooDoooooDEEFFoooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E<3,Cv2,Cv1,A>3\n"]}} {"board": "AAooBCDDDoBCoEEEBCoFFoGGoooHHooooIIo", "size": 6, "moves": 5, "solution": ["F<1", "G<2", "Bv1", "Bv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAooBCDDDoBCoEEEBCoFFoGGoooHHooooIIo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,G<2,Bv1,Bv1,A>4\n"]}} {"board": "oBoooooBCoDoooCoDEoFCGDEoFHGIEAAHoIo", "size": 6, "moves": 5, "solution": ["C^1", "D^1", "H^1", "I^1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoooooBCoDoooCoDEoFCGDEoFHGIEAAHoIo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^1,H^1,I^1,A>4\n"]}} {"board": "ooooBCoAAoBCoDoEEEoDoFooGGGFoooHHooo", "size": 6, "moves": 6, "solution": ["A>1", "D^2", "E<2", "Cv2", "Cv2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBCoAAoBCoDoEEEoDoFooGGGFoooHHooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,D^2,E<2,Cv2,Cv2,A>2\n"]}} {"board": "oAABCDooEBCDooEFFDoooooooGoHHooGoooo", "size": 6, "moves": 6, "solution": ["Dv1", "Dv2", "E<2", "Bv1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAABCDooEBCDooEFFDoooooooGoHHooGoooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,Dv2,E<2,Bv1,Bv1,A>3\n"]}} {"board": "oooBoCAAoBDCooEBDCooEoDoooFFooGGGooo", "size": 6, "moves": 5, "solution": ["Cv2", "Cv1", "F<1", "Bv2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoCAAoBDCooEBDCooEoDoooFFooGGGooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,Cv1,F<1,Bv2,A>4\n"]}} {"board": "oBBBoooooCCCooDoEoAADFEoGGoFEooooFoo", "size": 6, "moves": 6, "solution": ["B<1", "C<3", "Dv2", "D^2", "E^3", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBoooooCCCooDoEoAADFEoGGoFEooooFoo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,C<3,Dv2,D^2,E^3,A>4\n"]}} {"board": "oBoCCCoBAAoDoBEEEDFGGGoDFHHHIIoJJJoo", "size": 6, "moves": 5, "solution": ["F^1", "H<1", "I<1", "Dv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoCCCoBAAoDoBEEEDFGGGoDFHHHIIoJJJoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,H<1,I<1,Dv1,A>2\n"]}} {"board": "ooAAoBCooooBCDDooBEFGHHHEFGIoJEFGIoJ", "size": 6, "moves": 6, "solution": ["A>1", "D>2", "G^3", "H<1", "Cv1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAAoBCooooBCDDooBEFGHHHEFGIoJEFGIoJ\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,D>2,G^3,H<1,Cv1,A>1\n"]}} {"board": "BCoDDDBCoooEBooooEooooFoAAooFGooHHoG", "size": 6, "moves": 5, "solution": ["D<1", "E^1", "F^1", "G^2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BCoDDDBCoooEBooooEooooFoAAooFGooHHoG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,E^1,F^1,G^2,A>4\n"]}} {"board": "ooAABoCCDDBoEFFGGoEHoIoJEHoIKJoooIKJ", "size": 6, "moves": 5, "solution": ["Ev1", "E<1", "F<1", "Bv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAABoCCDDBoEFFGGoEHoIoJEHoIKJoooIKJ\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,E<1,F<1,Bv1,A>2\n"]}} {"board": "oooooBoAAooBoooCoBoooCoooooCDDoEEooo", "size": 6, "moves": 5, "solution": ["C^1", "D<3", "Bv2", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoAAooBoooCoBoooCoooooCDDoEEooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D<3,Bv2,Bv1,A>3\n"]}} {"board": "ooooBoCAAoBDCoEEBDooFGGDooFHHHoIIooo", "size": 6, "moves": 10, "solution": ["C^1", "E<2", "I<1", "Fv1", "F<3", "G^2", "H<2", "Cv2", "Cv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoCAAoBDCoEEBDooFGGDooFHHHoIIooo\nOptimal length (moves): 10\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,E<2,I<1,Fv1,F<3,G^2,H<2,Cv2,Cv1,A>3\n"]}} {"board": "oooBCoDooBCoDAABoEDoFFFEooGHHEIIGooo", "size": 6, "moves": 14, "solution": ["E^2", "F>1", "G^1", "I>1", "Ev2", "A<1", "F^3", "A>1", "F^3", "G<3", "Fv3", "H<2", "Dv3", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBCoDooBCoDAABoEDoFFFEooGHHEIIGooo\nOptimal length (moves): 14\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^2,F>1,G^1,I>1,Ev2,A<1,F^3,A>1,F^3,G<3,Fv3,H<2,Dv3,A>3\n"]}} {"board": "oooooooooooooBBBooooCDDDooCEooAAoEoo", "size": 6, "moves": 5, "solution": ["B>2", "C^2", "D<3", "E^1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooooBBBooooCDDDooCEooAAoEoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB>2,C^2,D<3,E^1,A>4\n"]}} {"board": "BCCCoDBoEoFDBoEoFDoAAGFoHHHGIJKKoGIJ", "size": 6, "moves": 5, "solution": ["Bv1", "B<1", "F^1", "G^3", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BCCCoDBoEoFDBoEoFDoAAGFoHHHGIJKKoGIJ\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,B<1,F^1,G^3,A>3\n"]}} {"board": "oAAoBooCooBooCDDDoEEoFGHoIoFGHoIoFGH", "size": 6, "moves": 5, "solution": ["A>1", "C^1", "D<1", "Cv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAoBooCooBooCDDDoEEoFGHoIoFGHoIoFGH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,C^1,D<1,Cv1,A>2\n"]}} {"board": "ooooBooCooBooCAABooooDDooEoFFFoEoGGG", "size": 6, "moves": 7, "solution": ["C^1", "D<1", "E^2", "F<2", "G<2", "Cv3", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBooCooBooCAABooooDDooEoFFFoEoGGG\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D<1,E^2,F<2,G<2,Cv3,A>2\n"]}} {"board": "oooBBBoooCDooAACDoEooCooEooFFFEooooo", "size": 6, "moves": 5, "solution": ["E^2", "F<3", "Dv2", "Dv2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBoooCDooAACDoEooCooEooFFFEooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^2,F<3,Dv2,Dv2,A>3\n"]}} {"board": "BBBoCoAADoCoooDEEEooDoooooooooFFFooo", "size": 6, "moves": 5, "solution": ["F>3", "Dv2", "D<2", "Cv2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBoCoAADoCoooDEEEooDoooooooooFFFooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nF>3,Dv2,D<2,Cv2,A>4\n"]}} {"board": "ooooBoCoooBoCoAABDoooEEDFFFGoDoooGHH", "size": 6, "moves": 6, "solution": ["E<2", "G^1", "H<2", "Bv3", "Cv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoCoooBoCoAABDoooEEDFFFGoDoooGHH\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<2,G^1,H<2,Bv3,Cv1,A>2\n"]}} {"board": "AAooBCDDDoBCEEooBFooGGoFHHHIoFoooIJJ", "size": 6, "moves": 7, "solution": ["Bv1", "G<1", "I^1", "J<1", "Fv1", "Bv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAooBCDDDoBCEEooBFooGGoFHHHIoFoooIJJ\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,G<1,I^1,J<1,Fv1,Bv1,A>4\n"]}} {"board": "oAABCooDoBCooDooEEooFFFGoHHooGoooooG", "size": 6, "moves": 5, "solution": ["F<2", "Bv3", "D<2", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAABCooDoBCooDooEEooFFFGoHHooGoooooG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<2,Bv3,D<2,Bv1,A>3\n"]}} {"board": "oooAABoCDDDBoCoooBECFGGGEoFoHHEoIIJJ", "size": 6, "moves": 6, "solution": ["E^1", "I<2", "Fv1", "F<1", "Bv1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooAABoCDDDBoCoooBECFGGGEoFoHHEoIIJJ\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,I<2,Fv1,F<1,Bv1,A>1\n"]}} {"board": "BooooCBoAAoCBoDDDEFGoHHEFGoIIIFGoJJJ", "size": 6, "moves": 5, "solution": ["I<1", "J<1", "Ev2", "Cv2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BooooCBoAAoCBoDDDEFGoHHEFGoIIIFGoJJJ\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nI<1,J<1,Ev2,Cv2,A>2\n"]}} {"board": "oooBBBooCCCooooDDDooAAEooFFFEoooooEo", "size": 6, "moves": 5, "solution": ["B<2", "C<1", "D<2", "E^3", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBooCCCooooDDDooAAEooFFFEoooooEo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,C<1,D<2,E^3,A>2\n"]}} {"board": "oBBBoooCoDDDoCoEooFAAEoGFHHIIGFoJJJG", "size": 6, "moves": 7, "solution": ["D<1", "F^1", "G^3", "I>1", "J<2", "Gv2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBoooCoDDDoCoEooFAAEoGFHHIIGFoJJJG\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,F^1,G^3,I>1,J<2,Gv2,A>3\n"]}} {"board": "BBBCoDoAACoDooooooEoFFGGEooooooooooo", "size": 6, "moves": 5, "solution": ["F<1", "Cv4", "F<1", "Cv2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBCoDoAACoDooooooEoFFGGEooooooooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Cv4,F<1,Cv2,A>3\n"]}} {"board": "oooAABoCoDoBoCoDEEoCoooFooGGoFoooooF", "size": 6, "moves": 5, "solution": ["G<1", "Dv2", "D<1", "Bv1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooAABoCoDoBoCoDEEoCoooFooGGoFoooooF\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,Dv2,D<1,Bv1,A>1\n"]}} {"board": "BooCooBooCDoAAooDoEFGGDoEFoHHHooooII", "size": 6, "moves": 6, "solution": ["A>2", "F^1", "H<2", "I<2", "Dv2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BooCooBooCDoAAooDoEFGGDoEFoHHHooooII\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,F^1,H<2,I<2,Dv2,A>2\n"]}} {"board": "oBoooooBoCCCoBooooAAooDoooooDoooooDo", "size": 6, "moves": 5, "solution": ["A>2", "Bv2", "B<2", "D^3", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoooooBoCCCoBooooAAooDoooooDoooooDo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,Bv2,B<2,D^3,A>2\n"]}} {"board": "AABCDoooBCDoEFFCDoEoooGGEHHHooIIooJJ", "size": 6, "moves": 8, "solution": ["G<3", "Cv1", "Cv1", "I>1", "Ev1", "E<1", "Bv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AABCDoooBCDoEFFCDoEoooGGEHHHooIIooJJ\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<3,Cv1,Cv1,I>1,Ev1,E<1,Bv1,A>4\n"]}} {"board": "AAoBoooooBoooooCooDEoCooDEFFoGDooooG", "size": 6, "moves": 5, "solution": ["E^1", "F<1", "Dv1", "Bv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoBoooooBoooooCooDEoCooDEFFoGDooooG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,F<1,Dv1,Bv1,A>4\n"]}} {"board": "BBBoooCoooooCoAADECFFoDEoGGGoEoHHHII", "size": 6, "moves": 5, "solution": ["D^2", "H<1", "I<1", "Ev1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBoooCoooooCoAADECFFoDEoGGGoEoHHHII\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,H<1,I<1,Ev1,A>2\n"]}} {"board": "oooooBoCCCDBoEEEDBFooGDHFoIGJHAAIGJo", "size": 6, "moves": 6, "solution": ["D^1", "E<1", "G^1", "I^1", "J^1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoCCCDBoEEEDBFooGDHFoIGJHAAIGJo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E<1,G^1,I^1,J^1,A>4\n"]}} {"board": "oooooooooBoCAAoBDCooEoDCoFEGGGoFEooo", "size": 6, "moves": 7, "solution": ["B^1", "D^2", "A>3", "E^2", "G<1", "Ev2", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBoCAAoBDCooEoDCoFEGGGoFEooo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,D^2,A>3,E^2,G<1,Ev2,A>1\n"]}} {"board": "ooooooBoooooBCDEEEFCDooGFAAHoGFooHoG", "size": 6, "moves": 7, "solution": ["B^1", "C^2", "D^2", "E<3", "G^2", "H^2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooBoooooBCDEEEFCDooGFAAHoGFooHoG\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,C^2,D^2,E<3,G^2,H^2,A>3\n"]}} {"board": "oBoCCCoBoDDDooEEEoFGGGHoFooIHoFAAIHo", "size": 6, "moves": 6, "solution": ["E<1", "F^3", "G<1", "H^1", "I^1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoCCCoBoDDDooEEEoFGGGHoFooIHoFAAIHo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,F^3,G<1,H^1,I^1,A>3\n"]}} {"board": "oAAoBooCooBooCooBoDCoEEEDoFFooDooooo", "size": 6, "moves": 5, "solution": ["A>1", "C^1", "E<2", "Cv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAoBooCooBooCooBoDCoEEEDoFFooDooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,C^1,E<2,Cv1,A>2\n"]}} {"board": "oooooBCoDAABCoDEEECoDoFFoooooooooGGG", "size": 6, "moves": 5, "solution": ["Dv2", "D<1", "F<1", "Bv2", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBCoDAABCoDEEECoDoFFoooooooooGGG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv2,D<1,F<1,Bv2,A>1\n"]}} {"board": "BCCCooBAAoDoBoooDooEFGGHoEFIoHoEFIoH", "size": 6, "moves": 9, "solution": ["Bv2", "B>2", "A<1", "F^3", "G<1", "Dv3", "F>1", "Bv2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BCCCooBAAoDoBoooDooEFGGHoEFIoHoEFIoH\nOptimal length (moves): 9\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,B>2,A<1,F^3,G<1,Dv3,F>1,Bv2,A>4\n"]}} {"board": "oBooooCBooooCooDDDoooEFGAAoEFGoooooG", "size": 6, "moves": 6, "solution": ["C^1", "D<3", "E^1", "F^1", "G^2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBooooCBooooCooDDDoooEFGAAoEFGoooooG\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D<3,E^1,F^1,G^2,A>4\n"]}} {"board": "BooCCCBooDooEAADoFEooGHFIIoGHooJJGKK", "size": 6, "moves": 7, "solution": ["Fv1", "I>1", "Ev1", "Bv1", "B<3", "D^1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BooCCCBooDooEAADoFEooGHFIIoGHooJJGKK\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nFv1,I>1,Ev1,Bv1,B<3,D^1,A>3\n"]}} {"board": "ooooBCoAAoBCDEoooFDEoGGFDEoooooooooo", "size": 6, "moves": 5, "solution": ["Fv2", "Cv2", "F<1", "Bv2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBCoAAoBCDEoooFDEoGGFDEoooooooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nFv2,Cv2,F<1,Bv2,A>3\n"]}} {"board": "AAoBooCCDBoEoFDBoEoFGGoHoIoooHoIoJJJ", "size": 6, "moves": 5, "solution": ["J<1", "Hv1", "G>2", "Bv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoBooCCDBoEoFDBoEoFGGoHoIoooHoIoJJJ\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nJ<1,Hv1,G>2,Bv1,A>4\n"]}} {"board": "oooBBBoooCDoAAoCDoooECoooFEGGHoFIIIH", "size": 6, "moves": 8, "solution": ["B<2", "D^1", "F^1", "H^4", "H>1", "I<2", "Ev2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBoooCDoAAoCDoooECoooFEGGHoFIIIH\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,D^1,F^1,H^4,H>1,I<2,Ev2,A>4\n"]}} {"board": "oBCooooBCDDDoBCooooAAoEFooooEFGGGooF", "size": 6, "moves": 6, "solution": ["Ev1", "A>2", "Cv2", "C<1", "E^3", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBCooooBCDDDoBCooooAAoEFooooEFGGGooF\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,A>2,Cv2,C<1,E^3,A>1\n"]}} {"board": "oBoCCCoBooDEAAoFDEGooFoEGHHFIoGoooIo", "size": 6, "moves": 7, "solution": ["Ev2", "Ev1", "A>2", "Bv1", "B<2", "D^1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoCCCoBooDEAAoFDEGooFoEGHHFIoGoooIo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv2,Ev1,A>2,Bv1,B<2,D^1,A>2\n"]}} {"board": "oBBBCoDAAoCoDEEFFooGGGooooHIIIooHoJJ", "size": 6, "moves": 5, "solution": ["D^1", "E<1", "F<1", "Dv2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBCoDAAoCoDEEFFooGGGooooHIIIooHoJJ\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E<1,F<1,Dv2,A>3\n"]}} {"board": "BoCCCoBooDoEFFFDoEoAADoEoGGoHoIIIoHo", "size": 6, "moves": 8, "solution": ["Dv2", "D^1", "E>1", "Bv3", "B<2", "D<1", "F^3", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoCCCoBooDoEFFFDoEoAADoEoGGoHoIIIoHo\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv2,D^1,E>1,Bv3,B<2,D<1,F^3,A>3\n"]}} {"board": "oooBBBoCCCDEFAAoDEFoGGoEFHHoIIoJJKKK", "size": 6, "moves": 7, "solution": ["B<2", "D^1", "I<1", "J<1", "K<1", "Ev2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBoCCCDEFAAoDEFoGGoEFHHoIIoJJKKK\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,D^1,I<1,J<1,K<1,Ev2,A>3\n"]}} {"board": "BBBooooooCCCoDDDooEAAFoGEHoFoGEHoFoo", "size": 6, "moves": 5, "solution": ["C<3", "D<1", "F^3", "G^2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBooooooCCCoDDDooEAAFoGEHoFoGEHoFoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<3,D<1,F^3,G^2,A>3\n"]}} {"board": "ooBooCoDBAACoDoEooFDoEoGFooEoGFHHHII", "size": 6, "moves": 6, "solution": ["F^1", "H<1", "I<1", "Gv1", "Cv2", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBooCoDBAACoDoEooFDoEoGFooEoGFHHHII\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,H<1,I<1,Gv1,Cv2,A>1\n"]}} {"board": "AAoooBCooooBCooDoBCooDEEFFoDoooooooo", "size": 6, "moves": 5, "solution": ["D^2", "E<3", "Bv1", "Bv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoooBCooooBCooDoBCooDEEFFoDoooooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,E<3,Bv1,Bv1,A>4\n"]}} {"board": "AAooBCooooBCDEoFFFDEGGoHoIJKKHoIJooH", "size": 6, "moves": 6, "solution": ["A>2", "E^2", "F<2", "Cv1", "Cv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAooBCooooBCDEoFFFDEGGoHoIJKKHoIJooH\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,E^2,F<2,Cv1,Cv1,A>2\n"]}} {"board": "ooooooBooCCCBooDooAAoDoooooDoooooooo", "size": 6, "moves": 5, "solution": ["A>1", "Bv1", "B<3", "D^2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooBooCCCBooDooAAoDoooooDoooooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,Bv1,B<3,D^2,A>3\n"]}} {"board": "ooooooooBoooooBCCCooBoooAAoooDoooooD", "size": 6, "moves": 5, "solution": ["A>3", "Bv2", "B<1", "D^2", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooBoooooBCCCooBoooAAoooDoooooD\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>3,Bv2,B<1,D^2,A>1\n"]}} {"board": "oBoCCCDBoEEEDoooFooAAoFGooooFGoooooG", "size": 6, "moves": 7, "solution": ["A>1", "Bv2", "B<2", "D<2", "F^2", "G^3", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoCCCDBoEEEDoooFooAAoFGooooFGoooooG\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,Bv2,B<2,D<2,F^2,G^3,A>2\n"]}} {"board": "oBoCCCoBDEEEooDFFFAADooGHIJJKGHIooKG", "size": 6, "moves": 11, "solution": ["D^1", "A>3", "H^2", "I^2", "J<2", "Cv3", "C<1", "D<1", "G<1", "I^3", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoCCCoBDEEEooDFFFAADooGHIJJKGHIooKG\nOptimal length (moves): 11\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>3,H^2,I^2,J<2,Cv3,C<1,D<1,G<1,I^3,A>1\n"]}} {"board": "oooooooAAoBCooooBCDEEEBoDoFFGGDooooo", "size": 6, "moves": 6, "solution": ["Cv1", "D^2", "F<2", "G<2", "Cv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooAAoBCooooBCDEEEBoDoFFGGDooooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,D^2,F<2,G<2,Cv1,A>3\n"]}} {"board": "oooBBBooCDEoAACDEoFoCGGGFoooHHFooooo", "size": 6, "moves": 5, "solution": ["B<3", "Cv2", "C^1", "D^1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBooCDEoAACDEoFoCGGGFoooHHFooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<3,Cv2,C^1,D^1,A>4\n"]}} {"board": "BooCCCBoDEEEooDooFAAoooFGGHHHIJJJooI", "size": 6, "moves": 5, "solution": ["A>3", "Dv1", "D<1", "F^1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BooCCCBoDEEEooDooFAAoooFGGHHHIJJJooI\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>3,Dv1,D<1,F^1,A>1\n"]}} {"board": "ooooBoooooBCAAooBCooooDDooooEEoooooo", "size": 6, "moves": 5, "solution": ["C^1", "D<2", "E<2", "Bv3", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoooooBCAAooBCooooDDooooEEoooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D<2,E<2,Bv3,A>4\n"]}} {"board": "AAoooBoooooBooCDDDooCoooEECooFGGHHHF", "size": 6, "moves": 6, "solution": ["F^1", "H>1", "Cv1", "C<1", "Bv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoooBoooooBooCDDDooCoooEECooFGGHHHF\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,H>1,Cv1,C<1,Bv1,A>4\n"]}} {"board": "BBBooCAAoDoCoooDoCEooDooEoFFFoEoGGoo", "size": 6, "moves": 6, "solution": ["Cv2", "A>1", "E^2", "F<2", "Dv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBooCAAoDoCoooDoCEooDooEoFFFoEoGGoo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,A>1,E^2,F<2,Dv1,A>3\n"]}} {"board": "oooBBBoooCCCoooDDDoEEEoFooAAGFoHHoGF", "size": 6, "moves": 5, "solution": ["C<1", "D<2", "F^2", "G^2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBoooCCCoooDDDoEEEoFooAAGFoHHoGF\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,D<2,F^2,G^2,A>2\n"]}} {"board": "oBBBoooooCCCDAAEoFDoGEoFDoGHHHIIGooo", "size": 6, "moves": 5, "solution": ["B<1", "C<3", "E^2", "F^2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBoooooCCCDAAEoFDoGEoFDoGHHHIIGooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,C<3,E^2,F^2,A>3\n"]}} {"board": "oooooBCDEEEBCDFFFBooooooAAGoooooGooo", "size": 6, "moves": 8, "solution": ["Bv3", "E>1", "G^2", "A>3", "Ev1", "E<1", "G^2", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBCDEEEBCDFFFBooooooAAGoooooGooo\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv3,E>1,G^2,A>3,Ev1,E<1,G^2,A>1\n"]}} {"board": "oooBooAAoBoCDDoEoCFooEGGFooHHHFIIIoo", "size": 6, "moves": 10, "solution": ["A>1", "D>1", "F^2", "H<3", "I<1", "Fv2", "F<3", "Bv2", "Cv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBooAAoBoCDDoEoCFooEGGFooHHHFIIIoo\nOptimal length (moves): 10\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,D>1,F^2,H<3,I<1,Fv2,F<3,Bv2,Cv1,A>3\n"]}} {"board": "oBBBooAACoDoooCoDooEoFFFoEoGGGoEHHHo", "size": 6, "moves": 8, "solution": ["B>1", "H>1", "Cv3", "A>2", "D^3", "E<2", "Dv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBooAACoDoooCoDooEoFFFoEoGGGoEHHHo\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nB>1,H>1,Cv3,A>2,D^3,E<2,Dv1,A>2\n"]}} {"board": "oooooBoCCCDBAAooDBEFFGooEooGooEooGHH", "size": 6, "moves": 6, "solution": ["D^1", "G^1", "H<3", "Cv3", "Dv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoCCCDBAAooDBEFFGooEooGooEooGHH\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,G^1,H<3,Cv3,Dv1,A>4\n"]}} {"board": "ooooBooCCCBoooooooDDDoooooEFooAAEFoo", "size": 6, "moves": 5, "solution": ["C<1", "F^3", "E>3", "F^1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBooCCCBoooooooDDDoooooEFooAAEFoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,F^3,E>3,F^1,A>4\n"]}} {"board": "BoCDDDBoCEEEAAoFoGHHHFIGJJooIGoKKLLL", "size": 6, "moves": 5, "solution": ["Fv1", "K<1", "L<1", "Fv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoCDDDBoCEEEAAoFoGHHHFIGJJooIGoKKLLL\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nFv1,K<1,L<1,Fv1,A>4\n"]}} {"board": "oooBCooAABCDoooBCDoEFGGooEFoooooFooo", "size": 6, "moves": 9, "solution": ["A<1", "Dv1", "Ev1", "E^3", "F<3", "Bv2", "Bv2", "Bv2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBCooAABCDoooBCDoEFGGooEFoooooFooo\nOptimal length (moves): 9\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<1,Dv1,Ev1,E^3,F<3,Bv2,Bv2,Bv2,A>4\n"]}} {"board": "oooooBooooCBoDAACBEDFoooEDFGHHEoFGII", "size": 6, "moves": 8, "solution": ["C^1", "Dv1", "A<1", "G^4", "H<1", "I<1", "Dv3", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBooooCBoDAACBEDFoooEDFGHHEoFGII\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,Dv1,A<1,G^4,H<1,I<1,Dv3,A>3\n"]}} {"board": "AABoCoooBoCooDEoCoFDEGGHFDoooHFooooH", "size": 6, "moves": 5, "solution": ["Ev2", "Bv1", "F<1", "Bv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AABoCoooBoCooDEoCoFDEGGHFDoooHFooooH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv2,Bv1,F<1,Bv1,A>4\n"]}} {"board": "ooBoooAABCooooBCooooDDEoooFFEoooooEo", "size": 6, "moves": 5, "solution": ["D<2", "Cv1", "F<2", "Bv2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoooAABCooooBCooooDDEoooFFEoooooEo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<2,Cv1,F<2,Bv2,A>4\n"]}} {"board": "oooBBBoooooooooCoooooCooAAoDEooooDEo", "size": 6, "moves": 5, "solution": ["B<3", "C^2", "D^2", "E^2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBoooooooooCoooooCooAAoDEooooDEo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<3,C^2,D^2,E^2,A>4\n"]}} {"board": "BCCCoDBoooEDBoAAEoFGGGEoFooHHHoIIoJJ", "size": 6, "moves": 5, "solution": ["H<2", "I<1", "J<2", "Ev2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BCCCoDBoooEDBoAAEoFGGGEoFooHHHoIIoJJ\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nH<2,I<1,J<2,Ev2,A>2\n"]}} {"board": "oooooooooooBCAAooBCooDoBoooDEEoooDoo", "size": 6, "moves": 5, "solution": ["D^2", "E<3", "Bv2", "Bv2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooBCAAooBCooDoBoooDEEoooDoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,E<3,Bv2,Bv2,A>3\n"]}} {"board": "ooooooBCCCooBDoAAEBDoFoEGGGFoEoooFHH", "size": 6, "moves": 8, "solution": ["C>1", "D^2", "A<2", "F^1", "H<3", "Ev1", "Ev1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooBCCCooBDoAAEBDoFoEGGGFoEoooFHH\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nC>1,D^2,A<2,F^1,H<3,Ev1,Ev1,A>3\n"]}} {"board": "ooAAoBooooCBooDoCBooDEFFGooEooGHHEoo", "size": 6, "moves": 7, "solution": ["A<1", "D^1", "E^3", "F<3", "Bv1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAAoBooooCBooDoCBooDEFFGooEooGHHEoo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<1,D^1,E^3,F<3,Bv1,Bv1,A>3\n"]}} {"board": "BooCoDBAACoDEEECoDoooFFFooGGooooHHHo", "size": 6, "moves": 5, "solution": ["F<3", "Dv2", "G<1", "Cv2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BooCoDBAACoDEEECoDoooFFFooGGooooHHHo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<3,Dv2,G<1,Cv2,A>3\n"]}} {"board": "BooooCBoAADCooEEDCFGHHHoFGooooFGoooo", "size": 6, "moves": 5, "solution": ["Cv2", "G^3", "H<1", "Dv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BooooCBoAADCooEEDCFGHHHoFGooooFGoooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,G^3,H<1,Dv1,A>2\n"]}} {"board": "oAAooBooCooBooCDDDooEEoooooooooooooo", "size": 6, "moves": 5, "solution": ["A>2", "C^1", "D<1", "Cv1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAooBooCooBooCDDDooEEoooooooooooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,C^1,D<1,Cv1,A>1\n"]}} {"board": "oBooooCBAADoCBEEDooFGoHHoFGoIoooJJIo", "size": 6, "moves": 5, "solution": ["J<2", "Gv1", "G<2", "Dv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBooooCBAADoCBEEDooFGoHHoFGoIoooJJIo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nJ<2,Gv1,G<2,Dv1,A>2\n"]}} {"board": "AABooCoDBooCEDoFFCEDGooHEoGIoHJJoIKK", "size": 6, "moves": 6, "solution": ["Bv1", "I^1", "K<1", "Iv1", "Bv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AABooCoDBooCEDoFFCEDGooHEoGIoHJJoIKK\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,I^1,K<1,Iv1,Bv1,A>4\n"]}} {"board": "BooCCCBAAooDoEFooDoEFGGGHHooIIJJJKKK", "size": 6, "moves": 5, "solution": ["A>2", "F^1", "G<1", "Ev1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BooCCCBAAooDoEFooDoEFGGGHHooIIJJJKKK\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,F^1,G<1,Ev1,A>1\n"]}} {"board": "oooBCoAAoBCooDDDEoFFFoEGHIIooGHoJJJG", "size": 6, "moves": 6, "solution": ["D<1", "Bv2", "J<1", "Ev2", "Bv2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBCoAAoBCooDDDEoFFFoEGHIIooGHoJJJG\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv2,J<1,Ev2,Bv2,A>4\n"]}} {"board": "ooBBBooooooooooCCCAAoDoEFFoDoEoGGDoo", "size": 6, "moves": 5, "solution": ["B<2", "C<3", "D^3", "E^2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBooooooooooCCCAAoDoEFFoDoEoGGDoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,C<3,D^3,E^2,A>4\n"]}} {"board": "oooBooCCCBoDoAABEDooooEoFFFoGGooHHII", "size": 6, "moves": 5, "solution": ["D^1", "E^2", "H<1", "Bv3", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBooCCCBoDoAABEDooooEoFFFoGGooHHII\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E^2,H<1,Bv3,A>3\n"]}} {"board": "oooooBoAAooBoooCooDDDCEEoooCoooooooo", "size": 6, "moves": 6, "solution": ["C^2", "E<1", "Cv4", "D>1", "Bv2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoAAooBoooCooDDDCEEoooCoooooooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,E<1,Cv4,D>1,Bv2,A>3\n"]}} {"board": "oAAoBoooooBoooooBooCDDEEoCoFFFoCoooo", "size": 6, "moves": 6, "solution": ["A>1", "C^3", "D<2", "E<2", "Cv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAoBoooooBoooooBooCDDEEoCoFFFoCoooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,C^3,D<2,E<2,Cv1,A>2\n"]}} {"board": "ooAABoooooBooooCDDoooCooooEEoooooooo", "size": 6, "moves": 5, "solution": ["E<1", "Cv1", "C<2", "Bv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAABoooooBooooCDDoooCooooEEoooooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Cv1,C<2,Bv1,A>2\n"]}} {"board": "oooooBoCoAABoCDDoBECoFFFEGGHHHEIIoJJ", "size": 6, "moves": 6, "solution": ["E^2", "F<1", "G<1", "H<1", "Bv2", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoCoAABoCDDoBECoFFFEGGHHHEIIoJJ\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^2,F<1,G<1,H<1,Bv2,A>1\n"]}} {"board": "ooAABoooooBoCCDEEoFFDGGGHoIIIoHoooJJ", "size": 6, "moves": 5, "solution": ["I>1", "Dv1", "D<1", "Bv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAABoooooBoCCDEEoFFDGGGHoIIIoHoooJJ\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nI>1,Dv1,D<1,Bv1,A>2\n"]}} {"board": "oooBBBooCCCDEEEFoDGAAFoDGooFooGooHHo", "size": 6, "moves": 5, "solution": ["B<3", "C<2", "D^1", "F^2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBooCCCDEEEFoDGAAFoDGooFooGooHHo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<3,C<2,D^1,F^2,A>3\n"]}} {"board": "ooooBoAAooBCooooBCoooDDDoooEEEoFFGGG", "size": 6, "moves": 5, "solution": ["D<2", "Cv1", "E<2", "Bv2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoAAooBCooooBCoooDDDoooEEEoFFGGG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<2,Cv1,E<2,Bv2,A>4\n"]}} {"board": "BBBooCooAAoCoooooDoooooDEEooFFoooGGG", "size": 6, "moves": 5, "solution": ["F<1", "G<1", "Dv2", "Cv2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBooCooAAoCoooooDoooooDEEooFFoooGGG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,G<1,Dv2,Cv2,A>2\n"]}} {"board": "oooBooCAABDoCoooDoooEFoGHHEFIGoJJJIG", "size": 6, "moves": 5, "solution": ["Dv1", "J<1", "Fv1", "Bv2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBooCAABDoCoooDoooEFoGHHEFIGoJJJIG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,J<1,Fv1,Bv2,A>3\n"]}} {"board": "oooooBooAAoBooCooBooCDooooCDEEFFFDoo", "size": 6, "moves": 8, "solution": ["A<2", "C^1", "D^2", "E<4", "Bv2", "Bv1", "Bv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBooAAoBooCooBooCDooooCDEEFFFDoo\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<2,C^1,D^2,E<4,Bv2,Bv1,Bv1,A>4\n"]}} {"board": "oAAoBoCCDoBoooDoBoooDoEEoooFFFGGHHHo", "size": 6, "moves": 6, "solution": ["A<1", "D^1", "E<4", "Bv1", "Bv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAoBoCCDoBoooDoBoooDoEEoooFFFGGHHHo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<1,D^1,E<4,Bv1,Bv1,A>4\n"]}} {"board": "AABCoDoEBCoDoEooFFGHHoooGooIIIGoJJJo", "size": 6, "moves": 7, "solution": ["Bv1", "F<1", "I<1", "Cv3", "E>1", "Bv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AABCoDoEBCoDoEooFFGHHoooGooIIIGoJJJo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,F<1,I<1,Cv3,E>1,Bv1,A>4\n"]}} {"board": "BAAoCDBEEoCDBFoGGGoFHHooIoooJJIooKKK", "size": 6, "moves": 5, "solution": ["Fv1", "F<2", "Cv1", "Cv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BAAoCDBEEoCDBFoGGGoFHHooIoooJJIooKKK\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nFv1,F<2,Cv1,Cv1,A>3\n"]}} {"board": "oooAABCooDDBCoEFFFCGEHHHoGEIIIoGJJoo", "size": 6, "moves": 5, "solution": ["J>1", "Ev1", "E<1", "Bv1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooAABCooDDBCoEFFFCGEHHHoGEIIIoGJJoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nJ>1,Ev1,E<1,Bv1,A>1\n"]}} {"board": "oooooBoAAoCBoooDCooooDEEoooDFFoooooo", "size": 6, "moves": 6, "solution": ["D^2", "E<3", "Bv2", "Bv2", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoAAoCBoooDCooooDEEoooDFFoooooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,E<3,Bv2,Bv2,Bv1,A>3\n"]}} {"board": "oooBoCoooBoCoAABoDoEEEoDooFFoooooooo", "size": 6, "moves": 5, "solution": ["Dv1", "D<1", "F<1", "Bv3", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoCoooBoCoAABoDoEEEoDooFFoooooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,D<1,F<1,Bv3,A>3\n"]}} {"board": "BoAAoCBoDDoCBooEECoFGHHHoFGIIooFGooo", "size": 6, "moves": 6, "solution": ["A>1", "D>1", "G^3", "H<1", "Dv1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoAAoCBoDDoCBooEECoFGHHHoFGIIooFGooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,D>1,G^3,H<1,Dv1,A>1\n"]}} {"board": "oAABCDoooBCDEoooFFEoGHHHooGIIIJJGooo", "size": 6, "moves": 5, "solution": ["F<3", "Bv1", "Bv1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAABCDoooBCDEoooFFEoGHHHooGIIIJJGooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<3,Bv1,Bv1,Bv1,A>3\n"]}} {"board": "oooBBBoCCCooAADEoFGoDEoFGHoEooGHIIJJ", "size": 6, "moves": 6, "solution": ["Dv1", "Ev1", "H^1", "I<1", "Dv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBoCCCooAADEoFGoDEoFGHoEooGHIIJJ\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,Ev1,H^1,I<1,Dv1,A>4\n"]}} {"board": "oooBBBoooCDEoooCDEAAFooEooFoooooFooo", "size": 6, "moves": 6, "solution": ["F^3", "A>3", "Bv1", "B<1", "F^1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBoooCDEoooCDEAAFooEooFoooooFooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^3,A>3,Bv1,B<1,F^1,A>1\n"]}} {"board": "oooBoooooBooAAoBooCooDDDCoooooCEEooo", "size": 6, "moves": 5, "solution": ["A>1", "C^3", "D<3", "Cv3", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoooooBooAAoBooCooDDDCoooooCEEooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,C^3,D<3,Cv3,A>3\n"]}} {"board": "ooBBBCoAAooCooDDEEoooFFFGGGoHIoJJJHI", "size": 6, "moves": 5, "solution": ["D<1", "E<1", "F<1", "Cv2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBCoAAooCooDDEEoooFFFGGGoHIoJJJHI\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,E<1,F<1,Cv2,A>3\n"]}} {"board": "oooooooBBBoooooooCooDooCAADooCooDooo", "size": 6, "moves": 7, "solution": ["B>2", "D^2", "A>3", "Bv1", "B<1", "D^1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooBBBoooooooCooDooCAADooCooDooo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nB>2,D^2,A>3,Bv1,B<1,D^1,A>1\n"]}} {"board": "AAoBoooCDBoooCDEEEooDFFFGoHHHoGoooII", "size": 6, "moves": 6, "solution": ["Cv2", "H>1", "Cv2", "C<3", "Bv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoBoooCDBoooCDEEEooDFFFGoHHHoGoooII\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,H>1,Cv2,C<3,Bv1,A>4\n"]}} {"board": "oooooooBBBooooooooAAoCDEoooCDEoFFCDE", "size": 6, "moves": 5, "solution": ["B<1", "C^3", "D^3", "E^3", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooBBBooooooooAAoCDEoooCDEoFFCDE\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,C^3,D^3,E^3,A>4\n"]}} {"board": "BCoDDDBCEoFooCEoFGooAAFGHHHoIIooooJJ", "size": 6, "moves": 5, "solution": ["Cv1", "C<2", "F^1", "G^1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BCoDDDBCEoFooCEoFGooAAFGHHHoIIooooJJ\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,C<2,F^1,G^1,A>2\n"]}} {"board": "oooBBBoooooooooCooAAoCDEooooDEFFoooE", "size": 6, "moves": 5, "solution": ["B<1", "C^1", "D^2", "E^3", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBoooooooooCooAAoCDEooooDEFFoooE\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,C^1,D^2,E^3,A>4\n"]}} {"board": "AABoooooBoooooBooCDDDooCEooFFCEooooo", "size": 6, "moves": 8, "solution": ["C^2", "D>3", "Bv1", "A>3", "C^1", "D<1", "Cv1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AABoooooBoooooBooCDDDooCEooFFCEooooo\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,D>3,Bv1,A>3,C^1,D<1,Cv1,A>1\n"]}} {"board": "oooBBBooooooooAAoCoooDoCoEEDoCoooDFF", "size": 6, "moves": 6, "solution": ["A<1", "D^1", "F<3", "Cv1", "Cv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBooooooooAAoCoooDoCoEEDoCoooDFF\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<1,D^1,F<3,Cv1,Cv1,A>3\n"]}} {"board": "oBooooCBoDDDCBooooAAooEoooooEooFFFEo", "size": 6, "moves": 5, "solution": ["A>2", "Bv2", "C<2", "E^3", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBooooCBoDDDCBooooAAooEoooooEooFFFEo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,Bv2,C<2,E^3,A>2\n"]}} {"board": "oooBooAAoBooCDDDooCoooEEFoGGHoFoooHo", "size": 6, "moves": 5, "solution": ["A>1", "C^2", "D<1", "Cv2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBooAAoBooCDDDooCoooEEFoGGHoFoooHo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,C^2,D<1,Cv2,A>3\n"]}} {"board": "BBBooCooAAoCoDEFFFoDEGGGoDHHoooooooo", "size": 6, "moves": 6, "solution": ["H>1", "Ev2", "E<1", "F<1", "Cv2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBooCooAAoCoDEFFFoDEGGGoDHHoooooooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nH>1,Ev2,E<1,F<1,Cv2,A>2\n"]}} {"board": "ooBBBoooCooDAACooDoEFFoDGEooHHGEIIoo", "size": 6, "moves": 5, "solution": ["B>1", "C^1", "H<1", "Dv2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBoooCooDAACooDoEFFoDGEooHHGEIIoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB>1,C^1,H<1,Dv2,A>4\n"]}} {"board": "ooAAoBCoDDoBCEEEFFGoHIIIGoHoJoGKKKJo", "size": 6, "moves": 5, "solution": ["C^1", "E<1", "F<1", "Cv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAAoBCoDDoBCEEEFFGoHIIIGoHoJoGKKKJo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,E<1,F<1,Cv1,A>2\n"]}} {"board": "ooooooooooBoCAAoBDCoEEEDCFFGoDoooGHH", "size": 6, "moves": 7, "solution": ["B^1", "C^2", "E<2", "G^1", "H<1", "Dv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooBoCAAoBDCoEEEDCFFGoDoooGHH\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,C^2,E<2,G^1,H<1,Dv1,A>3\n"]}} {"board": "ooBBBoooooooooCDooAACDEooooFEooooFEo", "size": 6, "moves": 5, "solution": ["B<1", "C^1", "D^1", "E^3", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBoooooooooCDooAACDEooooFEooooFEo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,C^1,D^1,E^3,A>4\n"]}} {"board": "oBBBCoDAAoCEDFGGGEDFHooEooHoooooHIII", "size": 6, "moves": 5, "solution": ["Ev1", "Ev1", "E<1", "Cv2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBCoDAAoCEDFGGGEDFHooEooHoooooHIII\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,Ev1,E<1,Cv2,A>3\n"]}} {"board": "AAoBoooooBooCooBooCooDDDCoooooooooEE", "size": 6, "moves": 5, "solution": ["A>1", "C^2", "D<3", "Cv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoBoooooBooCooBooCooDDDCoooooooooEE\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,C^2,D<3,Cv1,A>3\n"]}} {"board": "ooBCCCooBoDEooooDEoFAADEoFGHHIJJGooI", "size": 6, "moves": 5, "solution": ["Bv1", "B<2", "D^1", "E^1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBCCCooBoDEooooDEoFAADEoFGHHIJJGooI\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,B<2,D^1,E^1,A>2\n"]}} {"board": "ooBBBCoooooCooooDEAAFoDEGGFHooIIIHJJ", "size": 6, "moves": 6, "solution": ["D^1", "F^2", "H^3", "J<1", "Gv2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBCoooooCooooDEAAFoDEGGFHooIIIHJJ\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,F^2,H^3,J<1,Gv2,A>4\n"]}} {"board": "oBBBCDooAACDooEFoGHoEFoGHIIJJJHooKKK", "size": 6, "moves": 8, "solution": ["Cv2", "H^2", "I<1", "J<1", "K<1", "Hv2", "Cv2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBCDooAACDooEFoGHoEFoGHIIJJJHooKKK\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,H^2,I<1,J<1,K<1,Hv2,Cv2,A>2\n"]}} {"board": "oooBooCAABooCooDDDoEFFoooEoGGooooHHH", "size": 6, "moves": 5, "solution": ["C^1", "D<3", "F>2", "Cv2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBooCAABooCooDDDoEFFoooEoGGooooHHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D<3,F>2,Cv2,A>3\n"]}} {"board": "BBBooCDoAAoCDEEFFFGHIJJoGHIKKKGoILLL", "size": 6, "moves": 6, "solution": ["B>1", "D^1", "E<1", "F<1", "Dv2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBooCDoAAoCDEEFFFGHIJJoGHIKKKGoILLL\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nB>1,D^1,E<1,F<1,Dv2,A>2\n"]}} {"board": "BBBCCCoDoEEEFDGGGHFDooIHoAAoIoooJJIo", "size": 6, "moves": 6, "solution": ["A>1", "Dv2", "D<2", "F<1", "I^2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBCCCoDoEEEFDGGGHFDooIHoAAoIoooJJIo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,Dv2,D<2,F<1,I^2,A>2\n"]}} {"board": "BooCCCBoooDooAAoDoEFFFDoEoGHHHEoGooo", "size": 6, "moves": 11, "solution": ["C<2", "D^1", "A<1", "F>2", "G^3", "G<2", "H<2", "Dv3", "C>2", "D^1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BooCCCBoooDooAAoDoEFFFDoEoGHHHEoGooo\nOptimal length (moves): 11\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,D^1,A<1,F>2,G^3,G<2,H<2,Dv3,C>2,D^1,A>4\n"]}} {"board": "oBBBoCoAADoCEEoDFCGHHHFoGooIIIGJJKKK", "size": 6, "moves": 7, "solution": ["E>1", "G^3", "H<1", "Ev1", "I<1", "Dv2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBoCoAADoCEEoDFCGHHHFoGooIIIGJJKKK\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nE>1,G^3,H<1,Ev1,I<1,Dv2,A>3\n"]}} {"board": "ooooooooBoooAABooCDoBooCDoEEFCDoooFo", "size": 6, "moves": 5, "solution": ["Cv1", "F^4", "F>1", "Cv2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooBoooAABooCDoBooCDoEEFCDoooFo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,F^4,F>1,Cv2,A>4\n"]}} {"board": "AABooCooBDDCEEBooFGGHHoFIIJooFooJKKK", "size": 6, "moves": 9, "solution": ["H>1", "Bv1", "A>3", "C^1", "J^1", "K<1", "Fv1", "Cv1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AABooCooBDDCEEBooFGGHHoFIIJooFooJKKK\nOptimal length (moves): 9\nReturn only the and blocks.", "\nShortest path found.\n\n\nH>1,Bv1,A>3,C^1,J^1,K<1,Fv1,Cv1,A>1\n"]}} {"board": "ooBCDoooBCDoAAooDooEoFFFoEGGHHoEIIIo", "size": 6, "moves": 8, "solution": ["A>2", "E^3", "F<2", "G<2", "H<2", "I<1", "Ev3", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBCDoooBCDoAAooDooEoFFFoEGGHHoEIIIo\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,E^3,F<2,G<2,H<2,I<1,Ev3,A>2\n"]}} {"board": "oAAooBCCCDoBoEEDFFoooDGHoIIIGHooooGH", "size": 6, "moves": 5, "solution": ["I<1", "Dv2", "E<1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAooBCCCDoBoEEDFFoooDGHoIIIGHooooGH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nI<1,Dv2,E<1,Bv1,A>3\n"]}} {"board": "BBBoCDooAACDooEooDooEoFFoGGHHHIIoJJJ", "size": 6, "moves": 8, "solution": ["G<1", "Ev2", "E<4", "Cv2", "G^2", "H<1", "Cv2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBoCDooAACDooEooDooEoFFoGGHHHIIoJJJ\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,Ev2,E<4,Cv2,G^2,H<1,Cv2,A>2\n"]}} {"board": "ooooooAAooBoCCooBooDooBooDoEEEoDooFF", "size": 6, "moves": 6, "solution": ["A>2", "C>2", "D^2", "E<2", "Cv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooAAooBoCCooBooDooBooDoEEEoDooFF\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,C>2,D^2,E<2,Cv1,A>2\n"]}} {"board": "BCCCDEBoooDEoAAFDooooFGGHHHFooooIIIo", "size": 6, "moves": 8, "solution": ["Bv1", "B<1", "F^2", "G<3", "I<2", "Cv3", "Cv3", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BCCCDEBoooDEoAAFDooooFGGHHHFooooIIIo\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,B<1,F^2,G<3,I<2,Cv3,Cv3,A>3\n"]}} {"board": "oooBoCoAABoCDDDBoCooEEoooooFFooooooo", "size": 6, "moves": 5, "solution": ["Cv2", "E<1", "F<2", "Bv2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoCoAABoCDDDBoCooEEoooooFFooooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,E<1,F<2,Bv2,A>3\n"]}} {"board": "ooooBoooooBooAAoBoooCoooooCDDoooCoEE", "size": 6, "moves": 7, "solution": ["A<1", "C^2", "D<3", "E<4", "Bv3", "Bv2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoooooBooAAoBoooCoooooCDDoooCoEE\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<1,C^2,D<3,E<4,Bv3,Bv2,A>4\n"]}} {"board": "BBBCCCAADoEooFDoEooFoGGHoIIooHJJJooH", "size": 6, "moves": 5, "solution": ["G<1", "Ev3", "F>1", "Dv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBCCCAADoEooFDoEooFoGGHoIIooHJJJooH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,Ev3,F>1,Dv1,A>4\n"]}} {"board": "oooBCoDDDBCooAAoCoooEFooooEFooooEFGG", "size": 6, "moves": 8, "solution": ["A<1", "E^1", "F^1", "G<4", "Cv3", "Dv1", "Dv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBCoDDDBCooAAoCoooEFooooEFooooEFGG\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<1,E^1,F^1,G<4,Cv3,Dv1,Dv1,A>4\n"]}} {"board": "oAAooBCCDooBooDEEEFGDHHoFGIIooFGoJJJ", "size": 6, "moves": 5, "solution": ["I>1", "Dv2", "D<1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAooBCCDooBooDEEEFGDHHoFGIIooFGoJJJ\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nI>1,Dv2,D<1,Bv1,A>3\n"]}} {"board": "oooBBBooAACoooooCoDEFoGGDEFooooEFHHH", "size": 6, "moves": 9, "solution": ["A<2", "E^1", "F^3", "G<2", "H<2", "Dv3", "F>1", "Bv2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBooAACoooooCoDEFoGGDEFooooEFHHH\nOptimal length (moves): 9\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<2,E^1,F^3,G<2,H<2,Dv3,F>1,Bv2,A>4\n"]}} {"board": "oooBBBoCCCDoooooDooooooEooAAFEooGGFE", "size": 6, "moves": 5, "solution": ["B<2", "D^1", "E^2", "F^2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBoCCCDoooooDooooooEooAAFEooGGFE\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,D^1,E^2,F^2,A>2\n"]}} {"board": "ooooooAAoBoooooBooCooBooCDDDooCoEEoo", "size": 6, "moves": 5, "solution": ["A>1", "C^2", "D<1", "Cv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooAAoBoooooBooCooBooCDDDooCoEEoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,C^2,D<1,Cv1,A>3\n"]}} {"board": "BAAoCoBoooCoooooCooooDEEFFFDoooooDoo", "size": 6, "moves": 5, "solution": ["D^3", "E<3", "Cv1", "Cv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BAAoCoBoooCoooooCooooDEEFFFDoooooDoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^3,E<3,Cv1,Cv1,A>3\n"]}} {"board": "oooBBBCooDDDCoEEEFAAooGFooooGFooHHGo", "size": 6, "moves": 6, "solution": ["B<2", "D<2", "E<1", "F^2", "G^3", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBCooDDDCoEEEFAAooGFooooGFooHHGo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,D<2,E<1,F^2,G^3,A>4\n"]}} {"board": "BBBooCoooAACoDDEEEFGHIIIFGHoJJFGKKKo", "size": 6, "moves": 7, "solution": ["D<1", "E<1", "K>1", "Hv1", "H<1", "Cv2", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBooCoooAACoDDEEEFGHIIIFGHoJJFGKKKo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,E<1,K>1,Hv1,H<1,Cv2,A>1\n"]}} {"board": "oooBCoAADBCoooDoCooEEooooooFFooooGGG", "size": 6, "moves": 6, "solution": ["Bv2", "E<1", "Cv1", "F<1", "Bv2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBCoAADBCoooDoCooEEooooooFFooooGGG\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,E<1,Cv1,F<1,Bv2,A>4\n"]}} {"board": "BBBCooAADCEoooDCEFoooGGFHHHoooooIIIo", "size": 6, "moves": 5, "solution": ["G<3", "Cv2", "Cv1", "Cv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBCooAADCEoooDCEFoooGGFHHHoooooIIIo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<3,Cv2,Cv1,Cv1,A>4\n"]}} {"board": "ooAAoBoooooBoooCCBDEEFFFDooooooooooo", "size": 6, "moves": 5, "solution": ["D^2", "E<1", "F<1", "Bv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAAoBoooooBoooCCBDEEFFFDooooooooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,E<1,F<1,Bv1,A>2\n"]}} {"board": "AAoBoooCCBDDEFoBGoEFoHGIEFoHoIJJKKoI", "size": 6, "moves": 5, "solution": ["I^1", "K>2", "Iv1", "Bv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoBoooCCBDDEFoBGoEFoHGIEFoHoIJJKKoI\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nI^1,K>2,Iv1,Bv1,A>4\n"]}} {"board": "BBBCCCoAADEoFFoDEGHooDEGHoIIIGHJJKKo", "size": 6, "moves": 6, "solution": ["F>1", "H^2", "I<2", "Ev1", "Ev1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBCCCoAADEoFFoDEGHooDEGHoIIIGHJJKKo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nF>1,H^2,I<2,Ev1,Ev1,A>3\n"]}} {"board": "BoooCoBoAACDoEEooDooFoGGHHFoIooJJJIo", "size": 6, "moves": 12, "solution": ["Bv2", "A<2", "E>2", "F^3", "H>1", "Ev2", "E<3", "F<4", "Bv2", "Bv2", "Bv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoooCoBoAACDoEEooDooFoGGHHFoIooJJJIo\nOptimal length (moves): 12\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A<2,E>2,F^3,H>1,Ev2,E<3,F<4,Bv2,Bv2,Bv1,A>4\n"]}} {"board": "ooBoooooBCCCDDDoooEoAAFoEoooFoEoooFo", "size": 6, "moves": 8, "solution": ["D>3", "E^3", "A<2", "Cv4", "C<2", "D<2", "E^3", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoooooBCCCDDDoooEoAAFoEoooFoEoooFo\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nD>3,E^3,A<2,Cv4,C<2,D<2,E^3,A>4\n"]}} {"board": "AAoBCoooDBCEFFDBCEGHIIIEGHoJJoGoooKK", "size": 6, "moves": 12, "solution": ["A>1", "E^1", "Hv1", "H>1", "Ev3", "E>1", "F^3", "G<3", "Cv1", "Cv1", "Cv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoBCoooDBCEFFDBCEGHIIIEGHoJJoGoooKK\nOptimal length (moves): 12\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,E^1,Hv1,H>1,Ev3,E>1,F^3,G<3,Cv1,Cv1,Cv1,A>3\n"]}} {"board": "oooAABooCDoBooCDEEooCDoFGooHHFGIIooF", "size": 6, "moves": 5, "solution": ["H<2", "Dv2", "D<1", "Bv1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooAABooCDoBooCDEEooCDoFGooHHFGIIooF\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nH<2,Dv2,D<1,Bv1,A>1\n"]}} {"board": "BoCooDBoCAADooCEoDoooEoooooEFFGGGooo", "size": 6, "moves": 10, "solution": ["Bv2", "Bv2", "A<3", "D^1", "E^1", "F<4", "Bv2", "Bv1", "Bv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoCooDBoCAADooCEoDoooEoooooEFFGGGooo\nOptimal length (moves): 10\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,Bv2,A<3,D^1,E^1,F<4,Bv2,Bv1,Bv1,A>4\n"]}} {"board": "AAoBCDoEFBCDoEFGCDoEFGooHIJJooHIoKKK", "size": 6, "moves": 6, "solution": ["Cv1", "Cv1", "J>2", "Gv1", "Bv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoBCDoEFBCDoEFGCDoEFGooHIJJooHIoKKK\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Cv1,J>2,Gv1,Bv1,A>4\n"]}} {"board": "oBBBoooooCCCoooDoEAAoDFEooGDFoooGoFo", "size": 6, "moves": 6, "solution": ["B<1", "C<3", "D^2", "E^1", "F^3", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBoooooCCCoooDoEAAoDFEooGDFoooGoFo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,C<3,D^2,E^1,F^3,A>4\n"]}} {"board": "oAABCoDDoBCoEEoBFFooooGoooooGooHHHGo", "size": 6, "moves": 5, "solution": ["H<1", "Bv3", "E<2", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAABCoDDoBCoEEoBFFooooGoooooGooHHHGo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nH<1,Bv3,E<2,Bv1,A>3\n"]}} {"board": "ooAABoooCCBoooDEBoooDEFFooooooGGHHHo", "size": 6, "moves": 6, "solution": ["C<2", "D^1", "E^1", "F<2", "Bv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAABoooCCBoooDEBoooDEFFooooooGGHHHo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,D^1,E^1,F<2,Bv1,A>2\n"]}} {"board": "oooBBBooooCDEoooCDEAAoFDEGooFooGoHHo", "size": 6, "moves": 5, "solution": ["B<1", "D^1", "H<1", "Fv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBooooCDEoooCDEAAoFDEGooFooGoHHo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,D^1,H<1,Fv1,A>3\n"]}} {"board": "oAABoCoDDBoCEoFFGGEHIJJJEHIKKKoHILLo", "size": 6, "moves": 14, "solution": ["A<1", "D<1", "Ev1", "E<2", "F<1", "I^3", "J<1", "K<1", "Dv4", "F>1", "Cv1", "I>1", "Bv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAABoCoDDBoCEoFFGGEHIJJJEHIKKKoHILLo\nOptimal length (moves): 14\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<1,D<1,Ev1,E<2,F<1,I^3,J<1,K<1,Dv4,F>1,Cv1,I>1,Bv1,A>4\n"]}} {"board": "ooAAoBCCDooBoEDFFFGEHoooGoHIIIGoJJJo", "size": 6, "moves": 5, "solution": ["A>1", "D^1", "F<1", "Cv1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAAoBCCDooBoEDFFFGEHoooGoHIIIGoJJJo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,D^1,F<1,Cv1,A>1\n"]}} {"board": "oBBBoCAADoECFFDoEoGHHHooGooIIIGJJKKK", "size": 6, "moves": 10, "solution": ["H>2", "Dv2", "E>1", "F^1", "J<1", "Gv1", "G<2", "Cv2", "Cv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBoCAADoECFFDoEoGHHHooGooIIIGJJKKK\nOptimal length (moves): 10\nReturn only the and blocks.", "\nShortest path found.\n\n\nH>2,Dv2,E>1,F^1,J<1,Gv1,G<2,Cv2,Cv1,A>4\n"]}} {"board": "oBAACDoBooCDEEEoCoooooFGooooFGoooHHG", "size": 6, "moves": 5, "solution": ["Dv1", "H<1", "Fv1", "Cv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBAACDoBooCDEEEoCoooooFGooooFGoooHHG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,H<1,Fv1,Cv1,A>2\n"]}} {"board": "oBBBoCoooDoCoAADoCoEEFFFoGGoooooHHHo", "size": 6, "moves": 6, "solution": ["B<1", "D^1", "E<1", "F<1", "Dv3", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBoCoooDoCoAADoCoEEFFFoGGoooooHHHo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,D^1,E<1,F<1,Dv3,A>3\n"]}} {"board": "oooAABoooCoBoDECoBoDECFFooEGoooHHGII", "size": 6, "moves": 9, "solution": ["A<3", "C^1", "D^1", "E^2", "F<4", "Bv1", "Bv1", "Bv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooAABoooCoBoDECoBoDECFFooEGoooHHGII\nOptimal length (moves): 9\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<3,C^1,D^1,E^2,F<4,Bv1,Bv1,Bv1,A>4\n"]}} {"board": "oooooooooAABoooCoBoooCoBoooCDDoooooo", "size": 6, "moves": 6, "solution": ["A<2", "C^1", "D<3", "Bv1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooAABoooCoBoooCoBoooCDDoooooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<2,C^1,D<3,Bv1,Bv1,A>3\n"]}} {"board": "oooBBBCCCooDEooAADEooFoDGGGFoooooFHH", "size": 6, "moves": 6, "solution": ["A<2", "F^1", "H<3", "Dv2", "Ev1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBCCCooDEooAADEooFoDGGGFoooooFHH\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<2,F^1,H<3,Dv2,Ev1,A>3\n"]}} {"board": "oBBBoooAAooCDEEFFCDooGGCHIIIJJHoKKKo", "size": 6, "moves": 6, "solution": ["D^2", "H^2", "I<1", "J<1", "Dv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBoooAAooCDEEFFCDooGGCHIIIJJHoKKKo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,H^2,I<1,J<1,Dv1,A>3\n"]}} {"board": "ooooBoooooBCoAAoBCDooooCDEFFFoDEoooo", "size": 6, "moves": 6, "solution": ["Cv2", "A>1", "E^2", "F<1", "Bv3", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoooooBCoAAoBCDooooCDEFFFoDEoooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,A>1,E^2,F<1,Bv3,A>2\n"]}} {"board": "ooBBBoCCCooDEoAAFDEGoHFDoGoHFooGIIIo", "size": 6, "moves": 5, "solution": ["Dv2", "F^1", "I<1", "Fv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBoCCCooDEoAAFDEGoHFDoGoHFooGIIIo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv2,F^1,I<1,Fv1,A>2\n"]}} {"board": "ooBBBooCCCDoooooDoAAoEDFoooEoFoooEGG", "size": 6, "moves": 6, "solution": ["B<2", "C<1", "D^1", "E^3", "F^2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBooCCCDoooooDoAAoEDFoooEoFoooEGG\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,C<1,D^1,E^3,F^2,A>4\n"]}} {"board": "BCDEEEBCDooFBoAAGFooHHGIoJooKIoJooKo", "size": 6, "moves": 11, "solution": ["Bv3", "A<2", "F^1", "H>1", "Cv3", "A>2", "Bv1", "B<2", "D^1", "E^1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BCDEEEBCDooFBoAAGFooHHGIoJooKIoJooKo\nOptimal length (moves): 11\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv3,A<2,F^1,H>1,Cv3,A>2,Bv1,B<2,D^1,E^1,A>2\n"]}} {"board": "BCCCooBoDDDoBEFFFoGEoooHGoAAIHGoooIH", "size": 6, "moves": 5, "solution": ["Ev1", "E<1", "H^2", "I^2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BCCCooBoDDDoBEFFFoGEoooHGoAAIHGoooIH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,E<1,H^2,I^2,A>2\n"]}} {"board": "BoooCDBAAoCDBooooDoEoFFFoEooooGGHHoo", "size": 6, "moves": 6, "solution": ["A>1", "E^2", "F<2", "Cv2", "Cv2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoooCDBAAoCDBooooDoEoFFFoEooooGGHHoo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,E^2,F<2,Cv2,Cv2,A>2\n"]}} {"board": "oBCDDDEBCooFEoAAoFGooHHHGoIJJJGoIooo", "size": 6, "moves": 5, "solution": ["A>1", "Cv1", "C<1", "F^1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBCDDDEBCooFEoAAoFGooHHHGoIJJJGoIooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,Cv1,C<1,F^1,A>1\n"]}} {"board": "ooAABCooooBCooooBoDEoFFFDEGGGoDEHHHo", "size": 6, "moves": 5, "solution": ["Cv1", "E^3", "F<2", "Cv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAABCooooBCooooBoDEoFFFDEGGGoDEHHHo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,E^3,F<2,Cv1,A>2\n"]}} {"board": "BCCCooBDoEEEoDoFFFoGGGoHAAoIoHoooIoo", "size": 6, "moves": 7, "solution": ["C>1", "D^1", "F<3", "G<1", "H^1", "I^2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BCCCooBDoEEEoDoFFFoGGGoHAAoIoHoooIoo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nC>1,D^1,F<3,G<1,H^1,I^2,A>4\n"]}} {"board": "AAoooBoooCoBoDDCoBEFFGGGEoooooEooooo", "size": 6, "moves": 6, "solution": ["A>1", "E^3", "F<1", "G<1", "Cv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoooBoooCoBoDDCoBEFFGGGEoooooEooooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,E^3,F<1,G<1,Cv1,A>3\n"]}} {"board": "BBBooooAACoDooECoDooECFFooEoooGGoHHo", "size": 6, "moves": 6, "solution": ["C^1", "F<1", "Dv3", "E>1", "Cv2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBooooAACoDooECoDooECFFooEoooGGoHHo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,F<1,Dv3,E>1,Cv2,A>3\n"]}} {"board": "ooBoCoAABoCooDDoCoooooooooooEEoFFFoo", "size": 6, "moves": 5, "solution": ["D<1", "Bv2", "E<2", "Bv2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoCoAABoCooDDoCoooooooooooEEoFFFoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv2,E<2,Bv2,A>4\n"]}} {"board": "BooCCCBooDDDBoooEooFAAEGoFoooGoFoooG", "size": 6, "moves": 5, "solution": ["C<1", "D<1", "Ev2", "F^3", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BooCCCBooDDDBoooEooFAAEGoFoooGoFoooG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,D<1,Ev2,F^3,A>2\n"]}} {"board": "BBBoCoooAACDooEoCDFFEooDooGoHHooGooo", "size": 6, "moves": 11, "solution": ["Cv1", "B>3", "A<2", "E^2", "G^2", "H<4", "Dv1", "Dv1", "Dv2", "Bv2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBoCoooAACDooEoCDFFEooDooGoHHooGooo\nOptimal length (moves): 11\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,B>3,A<2,E^2,G^2,H<4,Dv1,Dv1,Dv2,Bv2,A>4\n"]}} {"board": "oooBoCoooBoCAAoBoCooDoEEooDoooFFDooo", "size": 6, "moves": 6, "solution": ["D^3", "E<4", "Bv3", "Bv3", "Bv3", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoCoooBoCAAoBoCooDoEEooDoooFFDooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^3,E<4,Bv3,Bv3,Bv3,A>4\n"]}} {"board": "BAAoCoBDEECoBDoFFFooooGGHHHIooJJoIoo", "size": 6, "moves": 5, "solution": ["A>1", "D^1", "F<2", "Dv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BAAoCoBDEECoBDoFFFooooGGHHHIooJJoIoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,D^1,F<2,Dv1,A>2\n"]}} {"board": "ooBBBCDAAooCDEoFFoDEoGHHIEJGooIoJGoo", "size": 6, "moves": 9, "solution": ["B<2", "Ev1", "E<2", "G^3", "H<1", "Dv4", "G>1", "Cv2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBCDAAooCDEoFFoDEoGHHIEJGooIoJGoo\nOptimal length (moves): 9\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,Ev1,E<2,G^3,H<1,Dv4,G>1,Cv2,A>3\n"]}} {"board": "AAoBCooooBCooooBCooooDoEoFFDoEoooGGG", "size": 6, "moves": 5, "solution": ["Cv1", "G<3", "Dv1", "Bv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoBCooooBCooooBCooooDoEoFFDoEoooGGG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,G<3,Dv1,Bv1,A>4\n"]}} {"board": "BCoDDDBCEEEFGCAAoFGHHIIFGooJJJoKKKLL", "size": 6, "moves": 5, "solution": ["J<1", "K<1", "L<1", "Fv2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BCoDDDBCEEEFGCAAoFGHHIIFGooJJJoKKKLL\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nJ<1,K<1,L<1,Fv2,A>2\n"]}} {"board": "ooAABoooCoBDEoCoBDEoCoFFoGGGHIoJJoHI", "size": 6, "moves": 7, "solution": ["A<2", "C^1", "E^1", "F<4", "Bv1", "Bv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAABoooCoBDEoCoBDEoCoFFoGGGHIoJJoHI\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<2,C^1,E^1,F<4,Bv1,Bv1,A>4\n"]}} {"board": "ooBBBooCoAADoCoooDEFFGGGEoooHoEIIIHo", "size": 6, "moves": 5, "solution": ["E^3", "F<1", "G<1", "Ev1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBooCoAADoCoooDEFFGGGEoooHoEIIIHo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^3,F<1,G<1,Ev1,A>1\n"]}} {"board": "ooBCCCooBoooDEBooFDEGGGFoooHoFAAoHoo", "size": 6, "moves": 5, "solution": ["D^1", "E^1", "G<2", "H^1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBCCCooBoooDEBooFDEGGGFoooHoFAAoHoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E^1,G<2,H^1,A>4\n"]}} {"board": "AAooBoooCoBooDCEEEFDCGGGFooHHHFIIIoo", "size": 6, "moves": 6, "solution": ["Dv1", "I>2", "Cv2", "C<2", "Bv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAooBoooCoBooDCEEEFDCGGGFooHHHFIIIoo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,I>2,Cv2,C<2,Bv1,A>4\n"]}} {"board": "oAABCooooBCDEEFFoDGHIoJJGHIooKGHILLK", "size": 6, "moves": 7, "solution": ["D^1", "F>2", "Bv3", "E<2", "Bv1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAABCooooBCDEEFFoDGHIoJJGHIooKGHILLK\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,F>2,Bv3,E<2,Bv1,Bv1,A>3\n"]}} {"board": "oAAoBCDEEEBCDoFGGGDHFoIIoHFoJKoHooJK", "size": 6, "moves": 5, "solution": ["Fv1", "F<2", "Bv1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAoBCDEEEBCDoFGGGDHFoIIoHFoJKoHooJK\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nFv1,F<2,Bv1,Bv1,A>3\n"]}} {"board": "AAoooBoCoDDBECoooBEFFFGGEooHHHoooooo", "size": 6, "moves": 6, "solution": ["A>1", "E^2", "F<1", "G<1", "Cv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoooBoCoDDBECoooBEFFFGGEooHHHoooooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,E^2,F<1,G<1,Cv1,A>3\n"]}} {"board": "BooCCCBooooDoooooDoAAEoDoooEoooooEoo", "size": 6, "moves": 5, "solution": ["Bv1", "B<3", "D^1", "E^3", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BooCCCBooooDoooooDoAAEoDoooEoooooEoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,B<3,D^1,E^3,A>3\n"]}} {"board": "BoooooBoCCCooooDooAAoDoooooDoooooooo", "size": 6, "moves": 5, "solution": ["A>1", "Bv2", "B<2", "D^2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoooooBoCCCooooDooAAoDoooooDoooooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,Bv2,B<2,D^2,A>3\n"]}} {"board": "oooBoooooBoooAABooCooDDoCoEFFFCoEooo", "size": 6, "moves": 8, "solution": ["A<1", "D>1", "E^4", "A>1", "D^2", "F<3", "Cv3", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoooooBoooAABooCooDDoCoEFFFCoEooo\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<1,D>1,E^4,A>1,D^2,F<3,Cv3,A>3\n"]}} {"board": "ooooBoCoAABoCDooBECDFFFEoooGGGoHHoII", "size": 6, "moves": 5, "solution": ["D^1", "F<1", "G<2", "Bv2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoCoAABoCDooBECDFFFEoooGGGoHHoII\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,F<1,G<2,Bv2,A>2\n"]}} {"board": "oooooBoooooBooAAoBoooCoooooCoooooCDD", "size": 6, "moves": 6, "solution": ["A<1", "C^1", "D<3", "Bv3", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoooooBooAAoBoooCoooooCoooooCDD\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<1,C^1,D<3,Bv3,Bv1,A>3\n"]}} {"board": "ooBCCCDoBooEDooFoEDAAFGoHHHFGIooooGI", "size": 6, "moves": 5, "solution": ["Bv1", "B<3", "F^2", "G^3", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBCCCDoBooEDooFoEDAAFGoHHHFGIooooGI\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,B<3,F^2,G^3,A>3\n"]}} {"board": "BBBooCDoAAoCDEEEFFGHHHooGooIIIJJJKKK", "size": 6, "moves": 6, "solution": ["B>1", "D^1", "E<1", "F<1", "Dv2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBooCDoAAoCDEEEFFGHHHooGooIIIJJJKKK\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nB>1,D^1,E<1,F<1,Dv2,A>2\n"]}} {"board": "oBoCCCoBoooDoBoooDEoAAFDEGGoFoEoooFo", "size": 6, "moves": 5, "solution": ["Bv1", "B<2", "D^1", "F^3", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoCCCoBoooDoBoooDEoAAFDEGGoFoEoooFo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,B<2,D^1,F^3,A>2\n"]}} {"board": "ooooooBBBCCCoAAoDEooFFDEGGooDoooHHII", "size": 6, "moves": 5, "solution": ["Ev1", "H<2", "I<2", "Dv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooBBBCCCoAAoDEooFFDEGGooDoooHHII\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,H<2,I<2,Dv1,A>3\n"]}} {"board": "BBBoCoooooCoooooCoDooEEEDooFooDAAFoo", "size": 6, "moves": 5, "solution": ["B>1", "D^3", "E<3", "F^1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBoCoooooCoooooCoDooEEEDooFooDAAFoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB>1,D^3,E<3,F^1,A>3\n"]}} {"board": "oooBBBoooCCCoooDooAAoDoEooFGoEooFGoE", "size": 6, "moves": 5, "solution": ["B<1", "C<3", "D^1", "E^3", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBoooCCCoooDooAAoDoEooFGoEooFGoE\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,C<3,D^1,E^3,A>4\n"]}} {"board": "oBBBoooooCCCoooDDDoAAEFooooEFooooEFo", "size": 6, "moves": 6, "solution": ["B<1", "C<3", "D<3", "E^3", "F^3", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBoooooCCCoooDDDoAAEFooooEFooooEFo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,C<3,D<3,E^3,F^3,A>3\n"]}} {"board": "oBoCDEoBoCDEAAoooEFGHIIIFGHoJJFGHKKK", "size": 6, "moves": 7, "solution": ["A>3", "H^3", "I<1", "J<1", "K<1", "Fv3", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoCDEoBoCDEAAoooEFGHIIIFGHoJJFGHKKK\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>3,H^3,I<1,J<1,K<1,Fv3,A>1\n"]}} {"board": "ooBBBCDEAAoCDEFGGGoEFHHHIIJJoKooLLoK", "size": 6, "moves": 7, "solution": ["J>1", "L<2", "Fv2", "F<1", "G<1", "Cv2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBCDEAAoCDEFGGGoEFHHHIIJJoKooLLoK\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nJ>1,L<2,Fv2,F<1,G<1,Cv2,A>2\n"]}} {"board": "ooooooAAoooBoooCCBooDEEEooDoooFFDoGG", "size": 6, "moves": 5, "solution": ["A>3", "D^3", "E<1", "Cv1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooAAoooBoooCCBooDEEEooDoooFFDoGG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>3,D^3,E<1,Cv1,A>1\n"]}} {"board": "oooBoCoAABoCDDoooCEooFFoEoooGGEooooo", "size": 6, "moves": 5, "solution": ["F<2", "Bv2", "G<1", "Bv2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoCoAABoCDDoooCEooFFoEoooGGEooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<2,Bv2,G<1,Bv2,A>3\n"]}} {"board": "oAAoBCoDDoBCoooEECoFGHHHoFGIIIoJJKKK", "size": 6, "moves": 7, "solution": ["D<1", "E<3", "Bv1", "G^2", "H<1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAoBCoDDoBCoooEECoFGHHHoFGIIIoJJKKK\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,E<3,Bv1,G^2,H<1,Bv1,A>3\n"]}} {"board": "ooooBoAAooBoooCCBooDEEEooDFFoooGGooo", "size": 6, "moves": 5, "solution": ["A>2", "D^2", "E<1", "Bv2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoAAooBoooCCBooDEEEooDFFoooGGooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,D^2,E<1,Bv2,A>2\n"]}} {"board": "AAoBoCDDoBoCooEBoCooEoFFGGGHoooooHoo", "size": 6, "moves": 5, "solution": ["E^1", "F<3", "Bv1", "Bv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoBoCDDoBoCooEBoCooEoFFGGGHoooooHoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,F<3,Bv1,Bv1,A>4\n"]}} {"board": "ooooBooCooBooCAABooCDDDooooEEEoooooo", "size": 6, "moves": 5, "solution": ["C^1", "D<1", "E<2", "Cv3", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBooCooBooCAABooCDDDooooEEEoooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D<1,E<2,Cv3,A>2\n"]}} {"board": "ooAABooCDoBoECDFFFECGGGoEoooHHIIooJJ", "size": 6, "moves": 7, "solution": ["G>1", "Dv2", "I>2", "Cv2", "D<2", "Bv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAABooCDoBoECDFFFECGGGoEoooHHIIooJJ\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nG>1,Dv2,I>2,Cv2,D<2,Bv1,A>2\n"]}} {"board": "ooooooooAAoBoCoooBoCDooBoCDEEEooDooo", "size": 6, "moves": 5, "solution": ["A>1", "D^2", "E<1", "Cv1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooAAoBoCoooBoCDooBoCDEEEooDooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,D^2,E<1,Cv1,A>1\n"]}} {"board": "ooooooAAoBooCooBooCooBooCoDDDooooooo", "size": 6, "moves": 5, "solution": ["A>1", "C^1", "D<2", "Cv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooAAoBooCooBooCooBooCoDDDooooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,C^1,D<2,Cv1,A>3\n"]}} {"board": "ooBCCCooBooDooooEDooooEDoFFFEGoAAooG", "size": 6, "moves": 5, "solution": ["Bv1", "B<1", "D^1", "G^1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBCCCooBooDooooEDooooEDoFFFEGoAAooG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,B<1,D^1,G^1,A>3\n"]}} {"board": "oooBBBCCCoDEAAooDEFFoooEoGoHHHoGIIJJ", "size": 6, "moves": 9, "solution": ["B<2", "D^1", "F>2", "G^1", "H<1", "I<1", "J<1", "Ev2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBCCCoDEAAooDEFFoooEoGoHHHoGIIJJ\nOptimal length (moves): 9\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,D^1,F>2,G^1,H<1,I<1,J<1,Ev2,A>4\n"]}} {"board": "oooBooooCBDoAACoDEFGHHDEFGoIIIFooooo", "size": 6, "moves": 7, "solution": ["C^1", "A>2", "E^2", "G^1", "I<2", "Ev2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBooooCBDoAACoDEFGHHDEFGoIIIFooooo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>2,E^2,G^1,I<2,Ev2,A>2\n"]}} {"board": "BBBCCCoAAoDoEEEoDoFoGGHHFoooIIoJJJKK", "size": 6, "moves": 5, "solution": ["Fv1", "F<2", "G<2", "Dv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBCCCoAAoDoEEEoDoFoGGHHFoooIIoJJJKK\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nFv1,F<2,G<2,Dv1,A>3\n"]}} {"board": "ooooooooBoooooBCCCAAooDEooooDEooooDo", "size": 6, "moves": 5, "solution": ["B^1", "C<2", "D^3", "E^2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooBoooooBCCCAAooDEooooDEooooDo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,C<2,D^3,E^2,A>4\n"]}} {"board": "oBoCCCoBoooDEEEooDAAooFoooGGFoooooFo", "size": 6, "moves": 7, "solution": ["E>2", "A>2", "Bv3", "B<2", "D<1", "F^3", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoCCCoBoooDEEEooDAAooFoooGGFoooooFo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nE>2,A>2,Bv3,B<2,D<1,F^3,A>2\n"]}} {"board": "oooBBBoooCDoAAoCDooooCooooEEFoooooFo", "size": 6, "moves": 5, "solution": ["B<2", "D^1", "E<1", "Dv2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBoooCDoAAoCDooooCooooEEFoooooFo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,D^1,E<1,Dv2,A>4\n"]}} {"board": "ooBoCoAABoCoooDDDooooEooFFFEoooooooo", "size": 6, "moves": 5, "solution": ["D<1", "Cv3", "C>2", "Bv2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoCoAABoCoooDDDooooEooFFFEoooooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Cv3,C>2,Bv2,A>4\n"]}} {"board": "oBoooooBooooooAACoDDEoCoooEoCoooEFFo", "size": 6, "moves": 6, "solution": ["A<2", "E^1", "F<3", "Cv1", "Cv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoooooBooooooAACoDDEoCoooEoCoooEFFo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<2,E^1,F<3,Cv1,Cv1,A>4\n"]}} {"board": "oBCCCDoBoooDoAAooDooEEEoooFGGGHHFIII", "size": 6, "moves": 8, "solution": ["A>2", "E>1", "F^3", "F<1", "G<1", "I<1", "Dv3", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBCCCDoBoooDoAAooDooEEEoooFGGGHHFIII\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,E>1,F^3,F<1,G<1,I<1,Dv3,A>1\n"]}} {"board": "BBBoooAAoooCoooooCDEFFoCDEGHHHDoGIIo", "size": 6, "moves": 5, "solution": ["F>1", "G^2", "H<1", "Cv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBoooAAoooCoooooCDEFFoCDEGHHHDoGIIo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nF>1,G^2,H<1,Cv1,A>4\n"]}} {"board": "ooooBoooAABooCCoBoDEEoFFDoooGGDooHHH", "size": 6, "moves": 6, "solution": ["D^3", "E<1", "F<2", "G<2", "Cv2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoooAABooCCoBoDEEoFFDoooGGDooHHH\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^3,E<1,F<2,G<2,Cv2,A>2\n"]}} {"board": "BoAAoCBooooCBooooDoooEEDoooooDoFFGGG", "size": 6, "moves": 5, "solution": ["F<1", "G<1", "Dv1", "Cv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoAAoCBooooCBooooDoooEEDoooooDoFFGGG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,G<1,Dv1,Cv1,A>2\n"]}} {"board": "oooBBBooCooDAACooDooCooEoooFFEooGGoE", "size": 6, "moves": 5, "solution": ["B<1", "D^1", "G<2", "Dv2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBooCooDAACooDooCooEoooFFEooGGoE\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,D^1,G<2,Dv2,A>4\n"]}} {"board": "BAAooCBDDooCBEEFFFGGGoHIooooHIJJoKKI", "size": 6, "moves": 7, "solution": ["G>1", "J>1", "Bv3", "D<1", "E<1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BAAooCBDDooCBEEFFFGGGoHIooooHIJJoKKI\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nG>1,J>1,Bv3,D<1,E<1,Bv1,A>3\n"]}} {"board": "oAAooBoooooBoooooBoCDEEEoCDFFFooDooo", "size": 6, "moves": 5, "solution": ["A>2", "D^3", "E<1", "Cv1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAooBoooooBoooooBoCDEEEoCDFFFooDooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,D^3,E<1,Cv1,A>1\n"]}} {"board": "oBBBoooCoDDDoCoEEEoCoooFGoAAHFGoooHF", "size": 6, "moves": 6, "solution": ["Cv2", "C<1", "D<2", "F^2", "H^2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBoooCoDDDoCoEEEoCoooFGoAAHFGoooHF\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,C<1,D<2,F^2,H^2,A>2\n"]}} {"board": "BoCCCoBDooooBDEFFFooEGHooooGHoAAoGHo", "size": 6, "moves": 8, "solution": ["D^1", "Ev1", "A>1", "Bv3", "D<3", "G^1", "H^1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoCCCoBDooooBDEFFFooEGHooooGHoAAoGHo\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,Ev1,A>1,Bv3,D<3,G^1,H^1,A>3\n"]}} {"board": "ooooBooAAoBooCooBDoCEEoDoCFFFDGGGooo", "size": 6, "moves": 5, "solution": ["A>1", "C^1", "F<1", "Bv2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBooAAoBooCooBDoCEEoDoCFFFDGGGooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,C^1,F<1,Bv2,A>2\n"]}} {"board": "AAoBCDooEBCDooEBCooFEoGGoFoHHoooIIIo", "size": 6, "moves": 8, "solution": ["Dv1", "D^1", "F^2", "G<4", "Bv1", "Bv1", "Bv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoBCDooEBCDooEBCooFEoGGoFoHHoooIIIo\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,D^1,F^2,G<4,Bv1,Bv1,Bv1,A>4\n"]}} {"board": "BCCCDEBoAADEooFFooGHoIJKGHoIJKoHoIoo", "size": 6, "moves": 5, "solution": ["Jv1", "Dv2", "Jv1", "Dv2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BCCCDEBoAADEooFFooGHoIJKGHoIJKoHoIoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nJv1,Dv2,Jv1,Dv2,A>2\n"]}} {"board": "ooBCooAABCDoEEooDFoGGGoFHoIIooHJJKKK", "size": 6, "moves": 14, "solution": ["F^1", "G>2", "H^1", "I>1", "J<1", "Bv4", "A>1", "E>1", "F^2", "G<3", "Bv2", "Cv1", "Cv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBCooAABCDoEEooDFoGGGoFHoIIooHJJKKK\nOptimal length (moves): 14\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,G>2,H^1,I>1,J<1,Bv4,A>1,E>1,F^2,G<3,Bv2,Cv1,Cv1,A>3\n"]}} {"board": "oBBBooCooooDCooooDAAEooDooEFFFooEGGo", "size": 6, "moves": 7, "solution": ["B>2", "E^3", "A>3", "Bv1", "B<1", "E^1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBooCooooDCooooDAAEooDooEFFFooEGGo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nB>2,E^3,A>3,Bv1,B<1,E^1,A>1\n"]}} {"board": "oBoooCoBAAoCoDDooooEFFGGoEooooHHoooo", "size": 6, "moves": 6, "solution": ["H>2", "Ev1", "E<1", "F<1", "Cv2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoooCoBAAoCoDDooooEFFGGoEooooHHoooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nH>2,Ev1,E<1,F<1,Cv2,A>2\n"]}} {"board": "oooooooBoCCCoBoooooAAoDEooFFDEGGooDE", "size": 6, "moves": 6, "solution": ["A>1", "Bv1", "B<2", "D^3", "E^3", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooBoCCCoBoooooAAoDEooFFDEGGooDE\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,Bv1,B<2,D^3,E^3,A>2\n"]}} {"board": "oBoCoDoBoCoDAAEooDFoEGGoFoEHHHFooIII", "size": 6, "moves": 7, "solution": ["Ev1", "A>3", "F^2", "H<1", "I<1", "Dv3", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoCoDoBoCoDAAEooDFoEGGoFoEHHHFooIII\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,A>3,F^2,H<1,I<1,Dv3,A>1\n"]}} {"board": "ooooBoAAooBoooCCBoDEoFFFDEoGooDEoGoo", "size": 6, "moves": 5, "solution": ["A>2", "E^3", "F<2", "Cv2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoAAooBoooCCBoDEoFFFDEoGooDEoGoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,E^3,F<2,Cv2,A>2\n"]}} {"board": "ooooBoAAooBoooooBooCoooooCDDEEooFFFo", "size": 6, "moves": 5, "solution": ["C^1", "D<2", "E<2", "Bv2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoAAooBoooooBooCoooooCDDEEooFFFo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D<2,E<2,Bv2,A>4\n"]}} {"board": "AAoBoCoDoBECoDFoECoDFGGGooFHHooooooo", "size": 6, "moves": 6, "solution": ["Bv1", "A>3", "F^2", "G<1", "Cv1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoBoCoDoBECoDFoECoDFGGGooFHHooooooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3,F^2,G<1,Cv1,A>1\n"]}} {"board": "ooooooooBooCAABoDCEoBoDCEFGGooEFoHHH", "size": 6, "moves": 8, "solution": ["D^2", "G>1", "Cv2", "A>3", "E^1", "H<1", "Cv2", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooBooCAABoDCEoBoDCEFGGooEFoHHH\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,G>1,Cv2,A>3,E^1,H<1,Cv2,A>1\n"]}} {"board": "oAAooBoCCDoBoooDEEFFFDGGHooIIIHJJJoo", "size": 6, "moves": 10, "solution": ["D^1", "F>1", "H^3", "G<1", "I<3", "J<1", "Bv3", "E<1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAooBoCCDoBoooDEEFFFDGGHooIIIHJJJoo\nOptimal length (moves): 10\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,F>1,H^3,G<1,I<3,J<1,Bv3,E<1,Bv1,A>3\n"]}} {"board": "ooooooooooooooAABoooCoBoooCoBoooCDDo", "size": 6, "moves": 6, "solution": ["A<2", "C^1", "D<3", "Bv1", "Bv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooooooAABoooCoBoooCoBoooCDDo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<2,C^1,D<3,Bv1,Bv1,A>4\n"]}} {"board": "oBBBooooooooCoDoooCEDFFFGEDooHGooAAH", "size": 6, "moves": 5, "solution": ["B>2", "D^2", "F<1", "H^1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBooooooooCoDoooCEDFFFGEDooHGooAAH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB>2,D^2,F<1,H^1,A>1\n"]}} {"board": "ooBCCCooBDoooooDEFoAADEFGoooEFGHHHII", "size": 6, "moves": 6, "solution": ["Bv1", "B<3", "D^1", "E^2", "F^2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBCCCooBDoooooDEFoAADEFGoooEFGHHHII\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,B<3,D^1,E^2,F^2,A>3\n"]}} {"board": "oooooooooooBoAAooBoCoooBoCoDEEoCoDFF", "size": 6, "moves": 5, "solution": ["D^4", "E<1", "F<1", "Cv2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooBoAAooBoCoooBoCoDEEoCoDFF\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^4,E<1,F<1,Cv2,A>3\n"]}} {"board": "oAABoooCCBDDEEoBFFGHHHIoGJJJIKGoooIK", "size": 6, "moves": 5, "solution": ["E>1", "G^3", "H<1", "Cv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAABoooCCBDDEEoBFFGHHHIoGJJJIKGoooIK\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE>1,G^3,H<1,Cv1,A>3\n"]}} {"board": "ooBCCCooBooDAABoEDoFFoEGoHoIEGoHoIoG", "size": 6, "moves": 6, "solution": ["Ev1", "E<1", "Bv3", "B<1", "C^1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBCCCooBooDAABoEDoFFoEGoHoIEGoHoIoG\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,E<1,Bv3,B<1,C^1,A>4\n"]}} {"board": "BoooCoBoAACDBooooDEooFoDEGHFIIEGHJJJ", "size": 6, "moves": 5, "solution": ["Cv2", "F^1", "I<1", "Cv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoooCoBoAACDBooooDEooFoDEGHFIIEGHJJJ\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,F^1,I<1,Cv1,A>2\n"]}} {"board": "BBBoooooooCoooAACooooDCoEooDFFEGGGoo", "size": 6, "moves": 5, "solution": ["A<1", "D^3", "F<2", "Dv2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBoooooooCoooAACooooDCoEooDFFEGGGoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<1,D^3,F<2,Dv2,A>3\n"]}} {"board": "BoAAoCBoDEECBoDooCFoDGGGFooHHHFIIIJJ", "size": 6, "moves": 5, "solution": ["A>1", "D^1", "G<1", "Dv1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoAAoCBoDEECBoDooCFoDGGGFooHHHFIIIJJ\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,D^1,G<1,Dv1,A>1\n"]}} {"board": "BooooCBAAooCoooDDDEEEFGGoooFoooHHFoo", "size": 6, "moves": 7, "solution": ["D<3", "F^3", "G<1", "Dv4", "F>1", "Cv2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BooooCBAAooCoooDDDEEEFGGoooFoooHHFoo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<3,F^3,G<1,Dv4,F>1,Cv2,A>3\n"]}} {"board": "AAoBoooCCBooDDoBEEFooGGGFoHIIIFoHJJJ", "size": 6, "moves": 6, "solution": ["A>1", "D>1", "F^3", "G<3", "Cv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoBoooCCBooDDoBEEFooGGGFoHIIIFoHJJJ\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,D>1,F^3,G<3,Cv1,A>3\n"]}} {"board": "oooooBoooooBooooooCCCooDooEooDAAEooo", "size": 6, "moves": 6, "solution": ["Dv1", "C>3", "D^3", "D<1", "E^1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoooooBooooooCCCooDooEooDAAEooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,C>3,D^3,D<1,E^1,A>4\n"]}} {"board": "ooAAoBoooCoBDEECoBDFFGGGooHooIooHooI", "size": 6, "moves": 5, "solution": ["D^1", "F<1", "G<1", "Bv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAAoBoooCoBDEECoBDFFGGGooHooIooHooI\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,F<1,G<1,Bv1,A>2\n"]}} {"board": "oBBBoooCCCooDoEFFFDoEGoHoooGIHAAoGIH", "size": 6, "moves": 7, "solution": ["D^2", "Ev1", "E<3", "G^1", "H^1", "I^1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBoooCCCooDoEFFFDoEGoHoooGIHAAoGIH\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,Ev1,E<3,G^1,H^1,I^1,A>4\n"]}} {"board": "ooooooooBAACoDBEoCFDBEGGFooHHHFooooo", "size": 6, "moves": 6, "solution": ["F^2", "H<3", "Fv2", "F<1", "Dv1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooBAACoDBEoCFDBEGGFooHHHFooooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^2,H<3,Fv2,F<1,Dv1,A>1\n"]}} {"board": "ooooBoooooBoAAoCBooooCDDoooCoooooooo", "size": 6, "moves": 5, "solution": ["C^2", "D<3", "Bv3", "Bv3", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoooooBoAAoCBooooCDDoooCoooooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,D<3,Bv3,Bv3,A>4\n"]}} {"board": "ooBBBCooAAoCooDDDCEoFFooEGGHHHEIIJJJ", "size": 6, "moves": 5, "solution": ["E^2", "G<1", "H<1", "Cv2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBCooAAoCooDDDCEoFFooEGGHHHEIIJJJ\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^2,G<1,H<1,Cv2,A>2\n"]}} {"board": "BoAACoBDooCoEDFFGGEoHHHoEooIIIJJooKK", "size": 6, "moves": 7, "solution": ["D^1", "J>1", "Ev1", "E<2", "F<2", "Dv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoAACoBDooCoEDFFGGEoHHHoEooIIIJJooKK\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,J>1,Ev1,E<2,F<2,Dv1,A>2\n"]}} {"board": "AAooBCooooBCoooooDEEEooDoooFFFoooGGo", "size": 6, "moves": 5, "solution": ["Bv1", "F<1", "Dv1", "Bv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAooBCooooBCoooooDEEEooDoooFFFoooGGo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,F<1,Dv1,Bv1,A>4\n"]}} {"board": "AAooBCDDEoBCoFEooCoFGHHHIFGJJJIooKKK", "size": 6, "moves": 5, "solution": ["Bv1", "Gv1", "G<1", "Bv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAooBCDDEoBCoFEooCoFGHHHIFGJJJIooKKK\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Gv1,G<1,Bv1,A>4\n"]}} {"board": "oooooooooBCDoAABCDooooCDEEooFFooGGoo", "size": 6, "moves": 5, "solution": ["B^1", "F<2", "Cv2", "Cv2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBCDoAABCDooooCDEEooFFooGGoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,F<2,Cv2,Cv2,A>3\n"]}} {"board": "oooooooBCooooBCDDDooooEFAAooEFooooEo", "size": 6, "moves": 6, "solution": ["B^1", "C^1", "D<2", "E^2", "F^1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooBCooooBCDDDooooEFAAooEFooooEo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,C^1,D<2,E^2,F^1,A>4\n"]}} {"board": "oBoCCCoBDDDooBEooFooEooFAAEooFGGoHHo", "size": 6, "moves": 7, "solution": ["D>1", "E^1", "A>3", "Dv1", "D<1", "F^1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoCCCoBDDDooBEooFooEooFAAEooFGGoHHo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nD>1,E^1,A>3,Dv1,D<1,F^1,A>1\n"]}} {"board": "ooBBBCoooAACDDDEoCFFFEooGooEHHGooIII", "size": 6, "moves": 6, "solution": ["A<2", "E^1", "H<3", "Cv2", "Cv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBCoooAACDDDEoCFFFEooGooEHHGooIII\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<2,E^1,H<3,Cv2,Cv1,A>3\n"]}} {"board": "BBBoCoDDDoCooooAAEooFGoEooFGoEooFGHH", "size": 6, "moves": 8, "solution": ["A<3", "F^1", "G^1", "H<4", "Ev1", "Ev1", "Ev1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBoCoDDDoCooooAAEooFGoEooFGoEooFGHH\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<3,F^1,G^1,H<4,Ev1,Ev1,Ev1,A>4\n"]}} {"board": "oBBBoooooooCAAoooCooDooCooDEEEooDooo", "size": 6, "moves": 5, "solution": ["A>3", "D^2", "E<1", "Dv2", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBoooooooCAAoooCooDooCooDEEEooDooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>3,D^2,E<1,Dv2,A>1\n"]}} {"board": "oooooBoooooBoooAABoCCCoooDoEFFoDoEoo", "size": 6, "moves": 6, "solution": ["A<2", "C<1", "E^4", "F<1", "Cv3", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoooooBoooAABoCCCoooDoEFFoDoEoo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<2,C<1,E^4,F<1,Cv3,A>3\n"]}} {"board": "ooAAoBooCooBooCoDBooCoDEoFGoDEoFGHHH", "size": 6, "moves": 7, "solution": ["A>1", "C^1", "G^1", "H<1", "Fv1", "Cv1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAAoBooCooBooCoDBooCoDEoFGoDEoFGHHH\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,C^1,G^1,H<1,Fv1,Cv1,A>1\n"]}} {"board": "AAoBCooooBCoooDEEEFoDoooFGDHIIFGoHoo", "size": 6, "moves": 5, "solution": ["Dv1", "D<3", "Bv1", "Bv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoBCooooBCoooDEEEFoDoooFGDHIIFGoHoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,D<3,Bv1,Bv1,A>4\n"]}} {"board": "oBooooCBDDDoCoooooCooEFooAAEFooooEFo", "size": 6, "moves": 6, "solution": ["Bv2", "Bv1", "B<2", "E^2", "F^2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBooooCBDDDoCoooooCooEFooAAEFooooEFo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,Bv1,B<2,E^2,F^2,A>3\n"]}} {"board": "ooBoooooBoooAABooooooCCDEEEooDoooooD", "size": 6, "moves": 8, "solution": ["D^2", "E>3", "Bv3", "A>3", "C^2", "E<1", "Cv2", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoooooBoooAABooooooCCDEEEooDoooooD\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,E>3,Bv3,A>3,C^2,E<1,Cv2,A>1\n"]}} {"board": "oBoCCCoBooDooBoEDFAAoEDFooGGGoHHoIII", "size": 6, "moves": 7, "solution": ["E^1", "F^1", "A>2", "Bv1", "B<2", "E^1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoCCCoBooDooBoEDFAAoEDFooGGGoHHoIII\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,F^1,A>2,Bv1,B<2,E^1,A>2\n"]}} {"board": "ooooooBBBoooooCDDDAACooEooCooEoooooE", "size": 6, "moves": 8, "solution": ["B>3", "C^2", "A>3", "Bv3", "B<1", "C<1", "E^3", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooBBBoooooCDDDAACooEooCooEoooooE\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nB>3,C^2,A>3,Bv3,B<1,C<1,E^3,A>1\n"]}} {"board": "ooAABCooDDBCEoFGBCEHFGIIoHJJKKoHoLLL", "size": 6, "moves": 7, "solution": ["D<2", "F^1", "G^1", "I<2", "Bv1", "Bv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAABCooDDBCEoFGBCEHFGIIoHJJKKoHoLLL\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<2,F^1,G^1,I<2,Bv1,Bv1,A>2\n"]}} {"board": "oBoCCCoBooDooBooDoooooEoAAooEooooooo", "size": 6, "moves": 5, "solution": ["Bv1", "B<2", "D^1", "E^1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoCCCoBooDooBooDoooooEoAAooEooooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,B<2,D^1,E^1,A>4\n"]}} {"board": "BoCDDDBECFFFBEoGGGHooIJKHoLIJKAALoJK", "size": 6, "moves": 6, "solution": ["E^1", "G<2", "J^1", "K^1", "L^1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoCDDDBECFFFBEoGGGHooIJKHoLIJKAALoJK\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,G<2,J^1,K^1,L^1,A>4\n"]}} {"board": "AAoBCDoEoBCDoEoFCoGGGFoooooFooooooHH", "size": 6, "moves": 5, "solution": ["Cv1", "Cv1", "Fv1", "Bv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoBCDoEoBCDoEoFCoGGGFoooooFooooooHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Cv1,Fv1,Bv1,A>4\n"]}} {"board": "oooooBoooAABCCCooBDEEoooDFFGGGDooooo", "size": 6, "moves": 6, "solution": ["C>1", "D^2", "F<1", "G<1", "Bv2", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoooAABCCCooBDEEoooDFFGGGDooooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nC>1,D^2,F<1,G<1,Bv2,A>1\n"]}} {"board": "oooBoooooBooAAoBoooCCoooooDEEEooDFFF", "size": 6, "moves": 6, "solution": ["C<1", "D^4", "E<3", "F<3", "Cv3", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoooooBooAAoBoooCCoooooDEEEooDFFF\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,D^4,E<3,F<3,Cv3,A>4\n"]}} {"board": "ooBBBCAAoooCoDEooCoDEooooFEGGGoFoooo", "size": 6, "moves": 5, "solution": ["A>3", "E^1", "G<1", "Cv2", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBCAAoooCoDEooCoDEooooFEGGGoFoooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>3,E^1,G<1,Cv2,A>1\n"]}} {"board": "oooooooBAACooBooCoDoEFGGDoEFooDoEFoo", "size": 6, "moves": 10, "solution": ["Bv1", "A<2", "E^3", "F^3", "G<2", "Dv3", "F>2", "Bv2", "Bv2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooBAACooBooCoDoEFGGDoEFooDoEFoo\nOptimal length (moves): 10\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A<2,E^3,F^3,G<2,Dv3,F>2,Bv2,Bv2,A>4\n"]}} {"board": "oAAooBoooooBoooCCBDooEFFDGHEooDGHIII", "size": 6, "moves": 5, "solution": ["C<2", "E^2", "F<1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAooBoooooBoooCCBDooEFFDGHEooDGHIII\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,E^2,F<1,Bv1,A>3\n"]}} {"board": "oBBBooAAooCooDooCEoDoFGEoDoFGooooFHH", "size": 6, "moves": 5, "solution": ["F^1", "H<2", "Gv1", "Cv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBooAAooCooDooCEoDoFGEoDoFGooooFHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,H<2,Gv1,Cv1,A>4\n"]}} {"board": "ooooooBBBoooooCoooAACooDooCooDooEEoD", "size": 6, "moves": 7, "solution": ["B>3", "C^2", "A>3", "Bv2", "B<1", "D^3", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooBBBoooooCoooAACooDooCooDooEEoD\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nB>3,C^2,A>3,Bv2,B<1,D^3,A>1\n"]}} {"board": "oooooooBBBCoDoooCoDoooEooooFEGAAoFEG", "size": 6, "moves": 5, "solution": ["C^1", "E^1", "F^1", "G^1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooBBBCoDoooCoDoooEooooFEGAAoFEG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,E^1,F^1,G^1,A>4\n"]}} {"board": "oooooooooBBBooCCCDAAoEoDoFFEGGoooEoo", "size": 6, "moves": 5, "solution": ["B<3", "C<2", "D^1", "E^3", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBBBooCCCDAAoEoDoFFEGGoooEoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<3,C<2,D^1,E^3,A>4\n"]}} {"board": "ooooooBooCCCBoDDDEBooFoEoAAFoEoooFoo", "size": 6, "moves": 6, "solution": ["Bv2", "B<3", "C<2", "D^1", "F^2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooBooCCCBoDDDEBooFoEoAAFoEoooFoo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,B<3,C<2,D^1,F^2,A>3\n"]}} {"board": "oBoooooBCCCooAAoDooooEDoFFFEGGoHHEoo", "size": 6, "moves": 5, "solution": ["A>1", "Bv2", "B<1", "D^2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoooooBCCCooAAoDooooEDoFFFEGGoHHEoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,Bv2,B<1,D^2,A>2\n"]}} {"board": "oooooooooooBAAoooBooCooBooCDDDooCooo", "size": 6, "moves": 5, "solution": ["A>3", "C^2", "D<1", "Cv2", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooBAAoooBooCooBooCDDDooCooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>3,C^2,D<1,Cv2,A>1\n"]}} {"board": "ooBBBoooCDDDAACoEoooFFEooGGHHHoooooo", "size": 6, "moves": 7, "solution": ["B<1", "F<2", "G<1", "Cv2", "C<2", "D^2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBoooCDDDAACoEoooFFEooGGHHHoooooo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,F<2,G<1,Cv2,C<2,D^2,A>4\n"]}} {"board": "ooAABoooooBoooooBoooCDDoEFCoGGEFCHHo", "size": 6, "moves": 6, "solution": ["A<2", "C^3", "D<3", "Bv1", "Bv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAABoooooBoooooBoooCDDoEFCoGGEFCHHo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<2,C^3,D<3,Bv1,Bv1,A>4\n"]}} {"board": "oooBoCoAABoCDooBEEDFFooooGGooooooHHH", "size": 6, "moves": 5, "solution": ["H<3", "Bv3", "D<1", "Bv2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoCoAABoCDooBEEDFFooooGGooooooHHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nH<3,Bv3,D<1,Bv2,A>3\n"]}} {"board": "ooBCCCooBooDAABooDoooEEEoFFoooGGHHoo", "size": 6, "moves": 6, "solution": ["F<1", "H>1", "Bv3", "B<1", "C^1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBCCCooBooDAABooDoooEEEoFFoooGGHHoo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,H>1,Bv3,B<1,C^1,A>4\n"]}} {"board": "ooooBCooooBCooAAoCoDEFFFoDEooooDEGGo", "size": 6, "moves": 5, "solution": ["A>1", "E^3", "F<1", "Dv3", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBCooooBCooAAoCoDEFFFoDEooooDEGGo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,E^3,F<1,Dv3,A>1\n"]}} {"board": "BAAooCBDDDoCBooEFFGooEooGHoEoooHIIJJ", "size": 6, "moves": 6, "solution": ["H^1", "I<1", "Ev1", "E<1", "Cv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BAAooCBDDDoCBooEFFGooEooGHoEoooHIIJJ\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nH^1,I<1,Ev1,E<1,Cv1,A>3\n"]}} {"board": "oooooooooBoooAABCoDDDBCooEEEoooooFFF", "size": 6, "moves": 5, "solution": ["C^2", "E<1", "F<3", "Cv2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBoooAABCoDDDBCooEEEoooooFFF\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,E<1,F<3,Cv2,A>3\n"]}} {"board": "oooAABCooooBCoDDDBCooEFFoGGEHooooEHo", "size": 6, "moves": 8, "solution": ["A<2", "Cv2", "C<2", "E^3", "F<3", "Bv1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooAABCooooBCoDDDBCooEFFoGGEHooooEHo\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<2,Cv2,C<2,E^3,F<3,Bv1,Bv1,A>3\n"]}} {"board": "oAABooCCoBoooooDooEFFDooEoGDooooGHHH", "size": 6, "moves": 8, "solution": ["C>1", "E^2", "F<1", "G^1", "H<3", "Ev1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAABooCCoBoooooDooEFFDooEoGDooooGHHH\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nC>1,E^2,F<1,G^1,H<3,Ev1,Bv1,A>3\n"]}} {"board": "oooBCoAAoBCDEooBoDEoFFGDoHHoGooooIII", "size": 6, "moves": 7, "solution": ["Dv1", "F<1", "Bv2", "I<2", "Gv1", "Bv2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBCoAAoBCDEooBoDEoFFGDoHHoGooooIII\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,F<1,Bv2,I<2,Gv1,Bv2,A>4\n"]}} {"board": "oBoCCCoBoDoooooDooAAoDoEoooFFEoooooE", "size": 6, "moves": 5, "solution": ["Bv1", "B<3", "D^1", "E^3", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoCCCoBoDoooooDooAAoDoEoooFFEoooooE\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,B<3,D^1,E^3,A>4\n"]}} {"board": "oooBBBCoAADoCoooDEFoooGEFHHoGEFIIJJo", "size": 6, "moves": 7, "solution": ["C^1", "F^1", "I<1", "J<1", "Gv1", "Dv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBCoAADoCoooDEFoooGEFHHoGEFIIJJo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,F^1,I<1,J<1,Gv1,Dv1,A>2\n"]}} {"board": "BooooCBoAAoCDEooFFDEoGGHDIIIoHoooJJJ", "size": 6, "moves": 5, "solution": ["F<1", "J<1", "Hv1", "Cv2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BooooCBoAAoCDEooFFDEoGGHDIIIoHoooJJJ\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,J<1,Hv1,Cv2,A>2\n"]}} {"board": "BBBoCoDoAACoDoEooFoGEHHFoGEIoFoJJIKK", "size": 6, "moves": 17, "solution": ["Cv1", "Cv3", "A<2", "E^2", "G>1", "I^3", "H<1", "Cv2", "B>3", "E^2", "J>1", "Gv1", "G<3", "Bv2", "Cv1", "Cv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBoCoDoAACoDoEooFoGEHHFoGEIoFoJJIKK\nOptimal length (moves): 17\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Cv3,A<2,E^2,G>1,I^3,H<1,Cv2,B>3,E^2,J>1,Gv1,G<3,Bv2,Cv1,Cv1,A>4\n"]}} {"board": "oooBBBAAooCDoEEoCDFoGGoDFHHIJJFooIoo", "size": 6, "moves": 6, "solution": ["Cv1", "G<1", "I^2", "J<1", "Cv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBAAooCDoEEoCDFoGGoDFHHIJJFooIoo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,G<1,I^2,J<1,Cv1,A>4\n"]}} {"board": "ooBCCCDoBEEEDoBFooDooFoGAAoooGoHHHoG", "size": 6, "moves": 5, "solution": ["A>3", "Bv2", "D<1", "G^2", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBCCCDoBEEEDoBFooDooFoGAAoooGoHHHoG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>3,Bv2,D<1,G^2,A>1\n"]}} {"board": "ooBCCCooBoDoooAADoEFoGGGEFoHIIEFoHJJ", "size": 6, "moves": 5, "solution": ["A<2", "Bv3", "B<2", "C^1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBCCCooBoDoooAADoEFoGGGEFoHIIEFoHJJ\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<2,Bv3,B<2,C^1,A>4\n"]}} {"board": "BoCCCoBoooooBoooooAAoDoooooDoooEEDoo", "size": 6, "moves": 5, "solution": ["A>1", "Bv1", "B<2", "D^3", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoCCCoBoooooBoooooAAoDoooooDoooEEDoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,Bv1,B<2,D^3,A>3\n"]}} {"board": "AABoCooDBoCooDEEoFoDoooFGHooIIGHoJJJ", "size": 6, "moves": 5, "solution": ["E>1", "Bv3", "D<1", "Bv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AABoCooDBoCooDEEoFoDoooFGHooIIGHoJJJ\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE>1,Bv3,D<1,Bv1,A>4\n"]}} {"board": "ooooBCooAABCDEooBCDEooooDEoFFFGGGoHH", "size": 6, "moves": 5, "solution": ["E^1", "F<2", "Bv2", "Bv2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBCooAABCDEooBCDEooooDEoFFFGGGoHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,F<2,Bv2,Bv2,A>2\n"]}} {"board": "oooBBBooAACoooooCoooDEEoooDoooooDooo", "size": 6, "moves": 6, "solution": ["A<2", "D^3", "E<3", "Bv2", "Cv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBooAACoooooCoooDEEoooDoooooDooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<2,D^3,E<3,Bv2,Cv1,A>4\n"]}} {"board": "BBBCCCDDDoooooEEEooooFGHAAoFGHoooFGo", "size": 6, "moves": 5, "solution": ["E<2", "F^2", "G^2", "H^1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBCCCDDDoooooEEEooooFGHAAoFGHoooFGo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<2,F^2,G^2,H^1,A>4\n"]}} {"board": "ooooooooooBCAAooBCooooBCooDoEEooDooo", "size": 6, "moves": 5, "solution": ["D^4", "E<2", "Cv2", "Cv2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooBCAAooBCooooBCooDoEEooDooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^4,E<2,Cv2,Cv2,A>4\n"]}} {"board": "ooBBBooooCCCooDDDooAAoEoFFGHEIooGHEI", "size": 6, "moves": 5, "solution": ["B<1", "C<2", "D<1", "E^3", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBooooCCCooDDDooAAoEoFFGHEIooGHEI\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,C<2,D<1,E^3,A>3\n"]}} {"board": "oooooooBoCCCoBoDDDEBooFoEAAoFGEooooG", "size": 6, "moves": 6, "solution": ["A>1", "Bv2", "C<2", "F^1", "G^2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooBoCCCoBoDDDEBooFoEAAoFGEooooG\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,Bv2,C<2,F^1,G^2,A>2\n"]}} {"board": "AABooCDoBEECDFFGGGDooHIJKKoHIJoooHIJ", "size": 6, "moves": 9, "solution": ["K>1", "Dv2", "E<1", "Bv1", "A>3", "C^1", "F<1", "Cv1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AABooCDoBEECDFFGGGDooHIJKKoHIJoooHIJ\nOptimal length (moves): 9\nReturn only the and blocks.", "\nShortest path found.\n\n\nK>1,Dv2,E<1,Bv1,A>3,C^1,F<1,Cv1,A>1\n"]}} {"board": "oBBBooCooooDCooAADCooEoDFFGEooooGEHH", "size": 6, "moves": 7, "solution": ["A<2", "E^1", "G^1", "H<3", "Dv2", "Dv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBooCooooDCooAADCooEoDFFGEooooGEHH\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<2,E^1,G^1,H<3,Dv2,Dv1,A>3\n"]}} {"board": "BooCCCBAADoEBFoDoEoFoGHoIIoGHJoKKKHJ", "size": 6, "moves": 5, "solution": ["Ev1", "K<1", "Gv1", "Dv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BooCCCBAADoEBFoDoEoFoGHoIIoGHJoKKKHJ\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,K<1,Gv1,Dv1,A>3\n"]}} {"board": "oooAABoCCCoBDDEEEBooFGGGHHFoooIIIooo", "size": 6, "moves": 5, "solution": ["I>3", "Fv1", "F<1", "Bv1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooAABoCCCoBDDEEEBooFGGGHHFoooIIIooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nI>3,Fv1,F<1,Bv1,A>1\n"]}} {"board": "oBCCCoDBooEoDBAAEoFGHHIIFGooooFooooo", "size": 6, "moves": 5, "solution": ["Gv1", "Bv1", "B<1", "E^1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBCCCoDBooEoDBAAEoFGHHIIFGooooFooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nGv1,Bv1,B<1,E^1,A>2\n"]}} {"board": "ooooooooooBCoAADBCEEEDBoooooooooooFF", "size": 6, "moves": 5, "solution": ["C^1", "D^2", "F<2", "Dv2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooBCoAADBCEEEDBoooooooooooFF\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^2,F<2,Dv2,A>3\n"]}} {"board": "oAAooBCCooDBooEEDBoooFGGooHFIoooHFIo", "size": 6, "moves": 6, "solution": ["E<1", "F^3", "G<3", "Bv1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAooBCCooDBooEEDBoooFGGooHFIoooHFIo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,F^3,G<3,Bv1,Bv1,A>3\n"]}} {"board": "oBBBooooooCoAAooCoooooCoooDEEFooDooF", "size": 6, "moves": 5, "solution": ["B>2", "D^4", "E<1", "Dv2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBooooooCoAAooCoooooCoooDEEFooDooF\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB>2,D^4,E<1,Dv2,A>4\n"]}} {"board": "BooooCBDDDoCoEoAACFEGGooFoHIIIFoHJJo", "size": 6, "moves": 5, "solution": ["G>1", "H^2", "I<1", "Cv3", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BooooCBDDDoCoEoAACFEGGooFoHIIIFoHJJo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nG>1,H^2,I<1,Cv3,A>1\n"]}} {"board": "ooBBBoooooooooCCCDooooEDAAFoEDooFoEo", "size": 6, "moves": 8, "solution": ["B>1", "Dv1", "C>1", "F^4", "D<2", "E^2", "F^2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBoooooooooCCCDooooEDAAFoEDooFoEo\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nB>1,Dv1,C>1,F^4,D<2,E^2,F^2,A>4\n"]}} {"board": "oooooooAABoCoDoBoCEDoFFFEoGoHHEoGIIo", "size": 6, "moves": 6, "solution": ["Dv2", "D^3", "E<3", "Cv1", "Cv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooAABoCoDoBoCEDoFFFEoGoHHEoGIIo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv2,D^3,E<3,Cv1,Cv1,A>3\n"]}} {"board": "ooooBCDDDoBCoAAooCEFFGGGEooooooHHooo", "size": 6, "moves": 5, "solution": ["Ev1", "E<1", "F<1", "Cv3", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBCDDDoBCoAAooCEFFGGGEooooooHHooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,E<1,F<1,Cv3,A>3\n"]}} {"board": "ooBBBoooCCCooDoEEEFDooGoFDAAGoFoHHGo", "size": 6, "moves": 5, "solution": ["C<1", "Dv1", "D<2", "G^2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBoooCCCooDoEEEFDooGoFDAAGoFoHHGo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,Dv1,D<2,G^2,A>2\n"]}} {"board": "ooooBoooooBoAAooBooooCooooDCooooDCEE", "size": 6, "moves": 6, "solution": ["C^1", "D^1", "E<3", "Bv3", "Bv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoooooBoAAooBooooCooooDCooooDCEE\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^1,E<3,Bv3,Bv1,A>4\n"]}} {"board": "ooooBoCoooBoCAAoBoDDoEEFGHIJJFGHIooF", "size": 6, "moves": 7, "solution": ["C^1", "A<1", "I^4", "F<1", "J<1", "Dv3", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoCoooBoCAAoBoDDoEEFGHIJJFGHIooF\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A<1,I^4,F<1,J<1,Dv3,A>4\n"]}} {"board": "oooBBBooCCCooAADEFGooDEFGHoDoFGHoIII", "size": 6, "moves": 7, "solution": ["Ev1", "F^1", "H^1", "I<3", "Ev1", "Ev1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBooCCCooAADEFGooDEFGHoDoFGHoIII\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,F^1,H^1,I<3,Ev1,Ev1,A>3\n"]}} {"board": "ooooooooBoooCDBEEECDooFGCDooFGooAAFG", "size": 6, "moves": 6, "solution": ["B^1", "Dv1", "D<2", "F^1", "G^1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooBoooCDBEEECDooFGCDooFGooAAFG\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,Dv1,D<2,F^1,G^1,A>2\n"]}} {"board": "ooooBoooooBoAAooBoooCDDoooCoEEooCooo", "size": 6, "moves": 6, "solution": ["C^3", "D<3", "E<4", "Bv3", "Bv3", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoooooBoAAooBoooCDDoooCoEEooCooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^3,D<3,E<4,Bv3,Bv3,A>4\n"]}} {"board": "ooBBBCAAoooCDEFFoGDEoooGDoHoooIIHJJJ", "size": 6, "moves": 5, "solution": ["H^1", "J<1", "Gv2", "Cv2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBCAAoooCDEFFoGDEoooGDoHoooIIHJJJ\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nH^1,J<1,Gv2,Cv2,A>4\n"]}} {"board": "oBBBoooooCCCAADEoFoGDEHFoGDoHooIIoHo", "size": 6, "moves": 5, "solution": ["Ev1", "Ev1", "I<1", "Dv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBoooooCCCAADEoFoGDEHFoGDoHooIIoHo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,Ev1,I<1,Dv1,A>4\n"]}} {"board": "BAACooBooCooBooCoDEoFFFDEooGGoHHHIIo", "size": 6, "moves": 6, "solution": ["I>1", "H>1", "Ev1", "E<2", "Cv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BAACooBooCooBooCoDEoFFFDEooGGoHHHIIo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nI>1,H>1,Ev1,E<2,Cv1,A>3\n"]}} {"board": "ooooooooBBBooCoooooCDEEEoCDoFGAAooFG", "size": 6, "moves": 7, "solution": ["B>1", "C^2", "D^2", "E<2", "F^1", "G^1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooBBBooCoooooCDEEEoCDoFGAAooFG\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nB>1,C^2,D^2,E<2,F^1,G^1,A>4\n"]}} {"board": "oooBBBooAAoCooDEECFFDGGGHoDIIIHJJJoo", "size": 6, "moves": 5, "solution": ["A>1", "D^2", "G<1", "Dv1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBooAAoCooDEECFFDGGGHoDIIIHJJJoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,D^2,G<1,Dv1,A>1\n"]}} {"board": "BBBoCDAAooCDoooEEDoFoooooFGHHHIIGJJJ", "size": 6, "moves": 6, "solution": ["E<3", "Cv2", "G^2", "H<1", "Cv2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBoCDAAooCDoooEEDoFoooooFGHHHIIGJJJ\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<3,Cv2,G^2,H<1,Cv2,A>4\n"]}} {"board": "oBoCDooBoCDoAAECDoFoEoGGFoooHHFoIIIo", "size": 6, "moves": 9, "solution": ["E^2", "A>1", "F^1", "G<3", "H<3", "I<2", "Dv3", "Dv3", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoCDooBoCDoAAECDoFoEoGGFoooHHFoIIIo\nOptimal length (moves): 9\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^2,A>1,F^1,G<3,H<3,I<2,Dv3,Dv3,A>3\n"]}} {"board": "BBBoooAACooDEECooDoFoGHHoFoGoooFoGoo", "size": 6, "moves": 7, "solution": ["Cv1", "G^3", "H<1", "Dv3", "G>1", "Cv2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBoooAACooDEECooDoFoGHHoFoGoooFoGoo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,G^3,H<1,Dv3,G>1,Cv2,A>4\n"]}} {"board": "ooooBoooooBoooAABoCoDEEECoDFFooooooo", "size": 6, "moves": 6, "solution": ["A<2", "D^3", "E<2", "F<1", "Cv3", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoooooBoooAABoCoDEEECoDFFooooooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<2,D^3,E<2,F<1,Cv3,A>4\n"]}} {"board": "ooBCCCooBAADEEoFoDGGGFHHoIoJJooIooKK", "size": 6, "moves": 5, "solution": ["J>1", "Fv2", "G<1", "Dv1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBCCCooBAADEEoFoDGGGFHHoIoJJooIooKK\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nJ>1,Fv2,G<1,Dv1,A>1\n"]}} {"board": "oooooooooooBooAAoBooCDDBooCoooooCEEE", "size": 6, "moves": 5, "solution": ["A>1", "C^1", "E<1", "Bv2", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooBooAAoBooCDDBooCoooooCEEE\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,C^1,E<1,Bv2,A>1\n"]}} {"board": "BooCooBooCoDAAoCoDoEEEooFGooHHFGIIoo", "size": 6, "moves": 5, "solution": ["D^1", "E<1", "I>2", "Cv3", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BooCooBooCoDAAoCoDoEEEooFGooHHFGIIoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E<1,I>2,Cv3,A>4\n"]}} {"board": "oBoCDooBoCDooBAADoEooFFFEoGGGoEooHHH", "size": 6, "moves": 5, "solution": ["F<2", "G<1", "H<2", "Dv3", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoCDooBoCDooBAADoEooFFFEoGGGoEooHHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<2,G<1,H<2,Dv3,A>2\n"]}} {"board": "oooBooooCBooAACBooDDoEEFoooooFoooooo", "size": 6, "moves": 5, "solution": ["C^1", "F^3", "F>1", "Cv3", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBooooCBooAACBooDDoEEFoooooFoooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,F^3,F>1,Cv3,A>4\n"]}} {"board": "BooCCCBooDDDEoFGGGEoFoHIAAoJHIoooJKK", "size": 6, "moves": 8, "solution": ["F^2", "A>1", "Fv1", "F<3", "H^1", "I^1", "J^2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BooCCCBooDDDEoFGGGEoFoHIAAoJHIoooJKK\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^2,A>1,Fv1,F<3,H^1,I^1,J^2,A>3\n"]}} {"board": "ooBBBooCDDDoECooFGEoAAFGooooHHIIJJJo", "size": 6, "moves": 5, "solution": ["Cv1", "C<1", "F^1", "G^1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBooCDDDoECooFGEoAAFGooooHHIIJJJo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,C<1,F^1,G^1,A>2\n"]}} {"board": "BoCDDDBoCoEFBoCoEFGHAAoFGHIIJoooooJo", "size": 6, "moves": 5, "solution": ["A>1", "Cv1", "C<1", "F^1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoCDDDBoCoEFBoCoEFGHAAoFGHIIJoooooJo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,Cv1,C<1,F^1,A>1\n"]}} {"board": "oooBBBCooDDDCooooooAAEooFFFEoooooEoo", "size": 6, "moves": 5, "solution": ["B<3", "Cv1", "C<3", "E^3", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBCooDDDCooooooAAEooFFFEoooooEoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<3,Cv1,C<3,E^3,A>3\n"]}} {"board": "oBBBoCoDAAECFDGoEoFHGoEoFHoIIIoJJKKo", "size": 6, "moves": 7, "solution": ["B>1", "Cv2", "C^1", "H^1", "I<2", "Dv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBoCoDAAECFDGoEoFHGoEoFHoIIIoJJKKo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nB>1,Cv2,C^1,H^1,I<2,Dv1,A>2\n"]}} {"board": "BAAoCoBDoECoBDoEFFoDGGoooooHHHIIoJJJ", "size": 6, "moves": 6, "solution": ["G>2", "H<3", "Ev2", "E<2", "Cv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BAAoCoBDoECoBDoEFFoDGGoooooHHHIIoJJJ\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nG>2,H<3,Ev2,E<2,Cv1,A>3\n"]}} {"board": "BBBCoDAAoCoDEFFooDEooGGGooHoIIooHJJJ", "size": 6, "moves": 6, "solution": ["Ev2", "F<3", "Cv2", "I<1", "Cv2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBCoDAAoCoDEFFooDEooGGGooHoIIooHJJJ\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv2,F<3,Cv2,I<1,Cv2,A>4\n"]}} {"board": "oooAABoCCooBoooooDoooEEDooFGGGooFooo", "size": 6, "moves": 5, "solution": ["F^2", "G<1", "Ev1", "Bv1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooAABoCCooBoooooDoooEEDooFGGGooFooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^2,G<1,Ev1,Bv1,A>1\n"]}} {"board": "BoCCCDBAAEoDBFFEooGoHIIoGoHJJJGoKKKo", "size": 6, "moves": 6, "solution": ["Dv2", "K>1", "Hv1", "H<2", "Dv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoCCCDBAAEoDBFFEooGoHIIoGoHJJJGoKKKo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv2,K>1,Hv1,H<2,Dv1,A>3\n"]}} {"board": "BooCCCBoooDEAAFoDEooFGGHIoJooHIoJooo", "size": 6, "moves": 8, "solution": ["F^2", "G<1", "Ev2", "A>3", "Cv1", "C<1", "E^1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BooCCCBoooDEAAFoDEooFGGHIoJooHIoJooo\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^2,G<1,Ev2,A>3,Cv1,C<1,E^1,A>1\n"]}} {"board": "BBBCCCooooDEooAADEooooDoooooFFoGGHHo", "size": 6, "moves": 6, "solution": ["F<2", "Ev2", "G<1", "H<1", "Dv2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBCCCooooDEooAADEooooDoooooFFoGGHHo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<2,Ev2,G<1,H<1,Dv2,A>2\n"]}} {"board": "oAABCoDEEBCoDooFCooGoFoHoGoFoHoGIIIH", "size": 6, "moves": 6, "solution": ["Cv1", "G^1", "I<2", "Gv1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAABCoDEEBCoDooFCooGoFoHoGoFoHoGIIIH\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,G^1,I<2,Gv1,Bv1,A>3\n"]}} {"board": "ooBCCCAABoDEooooDEooFFDEGooHHHGooooo", "size": 6, "moves": 6, "solution": ["F<2", "Bv2", "H<2", "Cv1", "Cv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBCCCAABoDEooooDEooFFDEGooHHHGooooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<2,Bv2,H<2,Cv1,Cv1,A>4\n"]}} {"board": "oooooooooBBBooooooooCCCDAAEooDFFEGGD", "size": 6, "moves": 5, "solution": ["B<1", "D^3", "D>1", "E^2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBBBooooooooCCCDAAEooDFFEGGD\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,D^3,D>1,E^2,A>4\n"]}} {"board": "oooBBBooCoooooCoooAACooDoooooDoooooD", "size": 6, "moves": 6, "solution": ["C^1", "A>3", "Bv1", "B<1", "D^3", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBooCoooooCoooAACooDoooooDoooooD\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>3,Bv1,B<1,D^3,A>1\n"]}} {"board": "BooooCBAAooCBDoEECFDGGooFDHHIIFJJKKK", "size": 6, "moves": 6, "solution": ["A>1", "D^1", "H<1", "I<1", "Cv2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BooooCBAAooCBDoEECFDGGooFDHHIIFJJKKK\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,D^1,H<1,I<1,Cv2,A>2\n"]}} {"board": "oAABCoDDDBCoEoFFGGEHIoJJoHIoKKoHILLL", "size": 6, "moves": 6, "solution": ["Ev1", "E<2", "Bv3", "E<2", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAABCoDDDBCoEoFFGGEHIoJJoHIoKKoHILLL\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,E<2,Bv3,E<2,Bv1,A>3\n"]}} {"board": "ooBBBoooAAoCDDDoECFGHHECFGoIJJKKoIoo", "size": 6, "moves": 13, "solution": ["A<1", "C^1", "E^1", "H>2", "I^3", "J<1", "K>2", "Hv1", "H<3", "Cv2", "Cv1", "Cv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBoooAAoCDDDoECFGHHECFGoIJJKKoIoo\nOptimal length (moves): 13\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<1,C^1,E^1,H>2,I^3,J<1,K>2,Hv1,H<3,Cv2,Cv1,Cv1,A>3\n"]}} {"board": "oooooBoooooBoAAooBooCDooooCDEEooCDoo", "size": 6, "moves": 8, "solution": ["A<1", "C^2", "D^2", "E<4", "Bv3", "Bv2", "Bv2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoooooBoAAooBooCDooooCDEEooCDoo\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<1,C^2,D^2,E<4,Bv3,Bv2,Bv2,A>4\n"]}} {"board": "oooBBBoooCCCDDDEoFoooEoFoGoAAHoGoooH", "size": 6, "moves": 5, "solution": ["B<1", "C<1", "F^2", "H^2", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBoooCCCDDDEoFoooEoFoGoAAHoGoooH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,C<1,F^2,H^2,A>1\n"]}} {"board": "oooBBBooCCCooooDDDAAoEoooooEoooooEFF", "size": 6, "moves": 5, "solution": ["B<3", "C<2", "D<3", "E^3", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBooCCCooooDDDAAoEoooooEoooooEFF\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<3,C<2,D<3,E^3,A>4\n"]}} {"board": "oooooBoooooBooCAABooCoooooCDDDoooEEE", "size": 6, "moves": 5, "solution": ["C^1", "D<1", "E<1", "Bv3", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoooooBooCAABooCoooooCDDDoooEEE\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D<1,E<1,Bv3,A>1\n"]}} {"board": "ooooBooAAoBoooooooooCoDDooCEooooCEoo", "size": 6, "moves": 6, "solution": ["A<1", "C^3", "D<4", "Bv2", "Bv2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBooAAoBoooooooooCoDDooCEooooCEoo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<1,C^3,D<4,Bv2,Bv2,A>4\n"]}} {"board": "ooAABCooooBCooooBCooDDEEFFoGGGoHHHII", "size": 6, "moves": 5, "solution": ["D<2", "E<2", "Bv1", "Bv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAABCooooBCooooBCooDDEEFFoGGGoHHHII\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<2,E<2,Bv1,Bv1,A>2\n"]}} {"board": "oooooBoCCCoBooDDDoAAoEFooGGEFooooEFo", "size": 6, "moves": 5, "solution": ["C<1", "D<2", "E^3", "F^3", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoCCCoBooDDDoAAoEFooGGEFooooEFo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,D<2,E^3,F^3,A>4\n"]}} {"board": "oBoooooBooooooCCCooAADEFoooDEFoooDoo", "size": 6, "moves": 5, "solution": ["C<2", "D^3", "E^2", "F^2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoooooBooooooCCCooAADEFoooDEFoooDoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,D^3,E^2,F^2,A>3\n"]}} {"board": "AAooBCooDDBCoEFoBooEFGGHoIJooHoIJKKH", "size": 6, "moves": 6, "solution": ["Cv1", "C<2", "F^1", "G<1", "Bv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAooBCooDDBCoEFoBooEFGGHoIJooHoIJKKH\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,C<2,F^1,G<1,Bv1,A>4\n"]}} {"board": "ooooBoooAABoooCoBoDECFFFDEooGGoHHoII", "size": 6, "moves": 8, "solution": ["D^1", "E^2", "G<4", "H<1", "Ev2", "E<2", "Bv2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoooAABoooCoBoDECFFFDEooGGoHHoII\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E^2,G<4,H<1,Ev2,E<2,Bv2,A>2\n"]}} {"board": "oAAooBooooCBooooCDEEEFCDoooFGGHHoFoo", "size": 6, "moves": 5, "solution": ["F^2", "G<1", "Ev1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAooBooooCBooooCDEEEFCDoooFGGHHoFoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^2,G<1,Ev1,Bv1,A>3\n"]}} {"board": "BAAoCDBEooCDBEoFGDoooFGoHHHFGooooIII", "size": 6, "moves": 5, "solution": ["Dv1", "I<2", "Gv1", "Cv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BAAoCDBEooCDBEoFGDoooFGoHHHFGooooIII\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,I<2,Gv1,Cv1,A>3\n"]}} {"board": "oBCCCDoBEooDoBEoFoGAAoFoGoooFoGoHHII", "size": 6, "moves": 5, "solution": ["A>1", "Bv1", "B<1", "F^2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBCCCDoBEooDoBEoFoGAAoFoGoooFoGoHHII\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,Bv1,B<1,F^2,A>2\n"]}} {"board": "ooooBoCAAoBDCEEEBDCoFFGGoHHooIoJJooI", "size": 6, "moves": 6, "solution": ["C^1", "F<2", "G<2", "Cv2", "Cv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoCAAoBDCEEEBDCoFFGGoHHooIoJJooI\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,F<2,G<2,Cv2,Cv1,A>3\n"]}} {"board": "ooooooAABCooooBCooooBDDDooooooooEEoo", "size": 6, "moves": 7, "solution": ["B^1", "D<3", "E<1", "Cv3", "C>3", "Bv2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooAABCooooBCooooBDDDooooooooEEoo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,D<3,E<1,Cv3,C>3,Bv2,A>4\n"]}} {"board": "ooooooooooBoooooBoooooCooooDCEAAoDCE", "size": 6, "moves": 5, "solution": ["B^1", "C^1", "D^1", "E^1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooBoooooBoooooCooooDCEAAoDCE\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,C^1,D^1,E^1,A>4\n"]}} {"board": "ooBCCCooBooooDDDoEooAAFEGoooFEGHHHFo", "size": 6, "moves": 11, "solution": ["Ev1", "D>2", "A<2", "Bv3", "B<2", "C<2", "E^3", "F^3", "H>2", "Fv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBCCCooBooooDDDoEooAAFEGoooFEGHHHFo\nOptimal length (moves): 11\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,D>2,A<2,Bv3,B<2,C<2,E^3,F^3,H>2,Fv1,A>4\n"]}} {"board": "BAACoDBooCEDBoFFEDoGHoIIJGHKooJGHKoo", "size": 6, "moves": 5, "solution": ["F<1", "Cv1", "I<1", "Cv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BAACoDBooCEDBoFFEDoGHoIIJGHKooJGHKoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Cv1,I<1,Cv1,A>3\n"]}} {"board": "oAAoBoCDooBoCDoEEEFGooHIFGJJHIFGoKKI", "size": 6, "moves": 5, "solution": ["A>1", "D^1", "E<2", "Cv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAoBoCDooBoCDoEEEFGooHIFGJJHIFGoKKI\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,D^1,E<2,Cv1,A>2\n"]}} {"board": "ooBoooCoBoooCoBooDCooEFDAAoEFGoooEFG", "size": 6, "moves": 5, "solution": ["D^2", "E^2", "F^2", "G^2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoooCoBoooCoBooDCooEFDAAoEFGoooEFG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,E^2,F^2,G^2,A>4\n"]}} {"board": "BoooooBoCDDDooCooEAACooEoooFoEGGoFoo", "size": 6, "moves": 6, "solution": ["C^1", "A>3", "Cv2", "C<1", "E^2", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoooooBoCDDDooCooEAACooEoooFoEGGoFoo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>3,Cv2,C<1,E^2,A>1\n"]}} {"board": "oooBCooAABCooDDDCoEEoooFGHHIIFGoooJJ", "size": 6, "moves": 8, "solution": ["E>1", "G^4", "E<1", "Cv2", "H<1", "I<1", "Cv2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBCooAABCooDDDCoEEoooFGHHIIFGoooJJ\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nE>1,G^4,E<1,Cv2,H<1,I<1,Cv2,A>3\n"]}} {"board": "oooBBBooCCCooooDEoAAoDEFGGoDoFHHoooF", "size": 6, "moves": 6, "solution": ["B<3", "C<2", "D^2", "E^1", "F^3", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBooCCCooooDEoAAoDEFGGoDoFHHoooF\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<3,C<2,D^2,E^1,F^3,A>4\n"]}} {"board": "oBoCoDoBoCoDoooAADoEEoFFooGoHHIIGJJJ", "size": 6, "moves": 7, "solution": ["E<1", "F<1", "G^1", "H<1", "J<1", "Dv3", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoCoDoBoCoDoooAADoEEoFFooGoHHIIGJJJ\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,F<1,G^1,H<1,J<1,Dv3,A>1\n"]}} {"board": "ooBoCoooBDCoAAoDCoEoFFFoEoooGGEooooo", "size": 6, "moves": 5, "solution": ["D^1", "F<1", "G<2", "Dv3", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoCoooBDCoAAoDCoEoFFFoEoooGGEooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,F<1,G<2,Dv3,A>4\n"]}} {"board": "BoCCCoBooDDDBoEFFFGHEIIIGHAAoJoHoKKJ", "size": 6, "moves": 6, "solution": ["C>1", "E^2", "F<1", "I<1", "J^2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoCCCoBooDDDBoEFFFGHEIIIGHAAoJoHoKKJ\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nC>1,E^2,F<1,I<1,J^2,A>2\n"]}} {"board": "BBBooooooCCCoooDoEoAADFEGHIIFEGHJJFo", "size": 6, "moves": 5, "solution": ["C<3", "D^1", "E^2", "F^3", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBooooooCCCoooDoEoAADFEGHIIFEGHJJFo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<3,D^1,E^2,F^3,A>3\n"]}} {"board": "oooooBoooCDBoAACDooooCDooEEEoooooFFF", "size": 6, "moves": 5, "solution": ["E<1", "F<3", "Cv2", "Cv2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoooCDBoAACDooooCDooEEEoooooFFF\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,F<3,Cv2,Cv2,A>3\n"]}} {"board": "BoooCDBoAACDBoEoooooEFFFooEooooGGooo", "size": 6, "moves": 9, "solution": ["Bv2", "A<2", "E^2", "F<2", "Cv4", "Cv4", "D>2", "Bv2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoooCDBoAACDBoEoooooEFFFooEooooGGooo\nOptimal length (moves): 9\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A<2,E^2,F<2,Cv4,Cv4,D>2,Bv2,A>4\n"]}} {"board": "ooBBBCooDooCAADEoCooDEFoGGHHFooooIII", "size": 6, "moves": 10, "solution": ["B<2", "E^2", "F^3", "H>1", "Fv2", "A>3", "F^1", "I<1", "Ev3", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBCooDooCAADEoCooDEFoGGHHFooooIII\nOptimal length (moves): 10\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,E^2,F^3,H>1,Fv2,A>3,F^1,I<1,Ev3,A>1\n"]}} {"board": "ooooooooAABoCoooBoCoDDBoooEFFFooEoGG", "size": 6, "moves": 6, "solution": ["C^1", "D<2", "E^2", "F<2", "Cv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooAABoCoooBoCoDDBoooEFFFooEoGG\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D<2,E^2,F<2,Cv1,A>2\n"]}} {"board": "oBoCCCDBEEEoDBooFoDoAAFoGGooFooooHHH", "size": 6, "moves": 6, "solution": ["G>2", "Bv2", "B<2", "D<1", "F^2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoCCCDBEEEoDBooFoDoAAFoGGooFooooHHH\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nG>2,Bv2,B<2,D<1,F^2,A>2\n"]}} {"board": "BCooooBCDEooBFDEGHoFDIGHAAoIJHKKKoJo", "size": 6, "moves": 6, "solution": ["E^1", "G^2", "H^1", "I^1", "J^2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BCooooBCDEooBFDEGHoFDIGHAAoIJHKKKoJo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,G^2,H^1,I^1,J^2,A>4\n"]}} {"board": "ooBoCoDEBoCoDEAACoDEoFFFGHHHooGoIIJJ", "size": 6, "moves": 8, "solution": ["D^1", "E^1", "F<2", "G^1", "I<2", "J<2", "Ev3", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoCoDEBoCoDEAACoDEoFFFGHHHooGoIIJJ\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E^1,F<2,G^1,I<2,J<2,Ev3,A>2\n"]}} {"board": "BooCooBAACoDoooCoDoooEEDoFFFoooooGGo", "size": 6, "moves": 5, "solution": ["Dv1", "E<2", "F<1", "Cv2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BooCooBAACoDoooCoDoooEEDoFFFoooooGGo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,E<2,F<1,Cv2,A>3\n"]}} {"board": "BCDDDoBCooooooEEEFGGGoHFoIAAHJoIooHJ", "size": 6, "moves": 5, "solution": ["E<1", "F^2", "H^2", "J^2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BCDDDoBCooooooEEEFGGGoHFoIAAHJoIooHJ\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,F^2,H^2,J^2,A>2\n"]}} {"board": "BBBooCDAAoECDoooEFooGGoFHHHIIooJJJKK", "size": 6, "moves": 6, "solution": ["Ev1", "J<1", "K<1", "Fv2", "Cv2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBooCDAAoECDoooEFooGGoFHHHIIooJJJKK\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,J<1,K<1,Fv2,Cv2,A>3\n"]}} {"board": "ooooBCAAooBCoooDBCEooDooEooDFFEooooo", "size": 6, "moves": 6, "solution": ["D^1", "F<3", "Bv2", "Bv2", "Bv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBCAAooBCoooDBCEooDooEooDFFEooooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,F<3,Bv2,Bv2,Bv1,A>4\n"]}} {"board": "BBBooCoDAAoCoDEooCFDEGGGFoHIooooHIoo", "size": 6, "moves": 5, "solution": ["A>1", "E^1", "G<1", "Cv2", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBooCoDAAoCoDEooCFDEGGGFoHIooooHIoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,E^1,G<1,Cv2,A>1\n"]}} {"board": "ooooBoooCoBoAACoBDEooooDEooFFFEooooo", "size": 6, "moves": 5, "solution": ["C^1", "D^2", "F<2", "Cv3", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoooCoBoAACoBDEooooDEooFFFEooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^2,F<2,Cv3,A>4\n"]}} {"board": "ooAABoCoooBoCoooDoCEooDooEFFDooEoGGG", "size": 6, "moves": 5, "solution": ["E^1", "G<2", "Ev1", "Bv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAABoCoooBoCoooDoCEooDooEFFDooEoGGG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,G<2,Ev1,Bv1,A>2\n"]}} {"board": "oooBCDoooBCDAAoBCoEooFFFEGGoooEoHHoo", "size": 6, "moves": 7, "solution": ["A>1", "E^3", "F<3", "Dv3", "H<1", "Cv3", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBCDoooBCDAAoBCoEooFFFEGGoooEoHHoo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,E^3,F<3,Dv3,H<1,Cv3,A>3\n"]}} {"board": "ooooBoooooBCooAABCooooooDooEFFDooEoo", "size": 6, "moves": 6, "solution": ["C^1", "A<1", "E^4", "F<2", "Cv3", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoooooBCooAABCooooooDooEFFDooEoo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A<1,E^4,F<2,Cv3,A>3\n"]}} {"board": "ooBCooooBCoDoEoAADFEGooDFEGHHHFIIJJJ", "size": 6, "moves": 7, "solution": ["F^1", "G^1", "H<1", "I<1", "J<1", "Dv2", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBCooooBCoDoEoAADFEGooDFEGHHHFIIJJJ\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,G^1,H<1,I<1,J<1,Dv2,A>1\n"]}} {"board": "AAooBoooCCBoDoEoBoDFEoGGDFoHHIooJJoI", "size": 6, "moves": 5, "solution": ["C<2", "E^1", "G<2", "Bv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAooBoooCCBoDoEoBoDFEoGGDFoHHIooJJoI\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,E^1,G<2,Bv1,A>4\n"]}} {"board": "oBoCCCoBooDooBooDoooAADEFFoooEoooGGE", "size": 6, "moves": 5, "solution": ["Bv1", "B<2", "D^1", "E^3", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoCCCoBooDooBooDoooAADEFFoooEoooGGE\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,B<2,D^1,E^3,A>2\n"]}} {"board": "oooAABoCCooBoooooBDEFGGGDEFHIIooFHoo", "size": 6, "moves": 5, "solution": ["C<1", "F^3", "G<1", "Cv1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooAABoCCooBoooooBDEFGGGDEFHIIooFHoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,F^3,G<1,Cv1,A>1\n"]}} {"board": "ooooooBoooooBoCCCoDDDEFooooEFGAAoEFG", "size": 6, "moves": 6, "solution": ["B^1", "C<2", "E^1", "F^1", "G^1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooBoooooBoCCCoDDDEFooooEFGAAoEFG\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,C<2,E^1,F^1,G^1,A>4\n"]}} {"board": "oooooBoooAABoooCoooooCDDEooCFFEGGHHH", "size": 6, "moves": 6, "solution": ["A<2", "C^2", "D<3", "Bv2", "Bv2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoooAABoooCoooooCDDEooCFFEGGHHH\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<2,C^2,D<3,Bv2,Bv2,A>3\n"]}} {"board": "oBBBoCAAooDCooooDoEFFFDGEHoIIGEHooJJ", "size": 6, "moves": 6, "solution": ["I<1", "Dv1", "J<1", "Gv1", "Cv2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBoCAAooDCooooDoEFFFDGEHoIIGEHooJJ\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nI<1,Dv1,J<1,Gv1,Cv2,A>4\n"]}} {"board": "oooBBBoooCCCoooDoEAAoDoEFFFDooooGGGo", "size": 6, "moves": 5, "solution": ["B<3", "C<3", "D^2", "E^1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBoooCCCoooDoEAAoDoEFFFDooooGGGo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<3,C<3,D^2,E^1,A>4\n"]}} {"board": "ooBoCoAABoCoDoBoooDooEEEooooooFFFooo", "size": 6, "moves": 5, "solution": ["E<2", "Cv4", "D>2", "Bv2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoCoAABoCoDoBoooDooEEEooooooFFFooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<2,Cv4,D>2,Bv2,A>4\n"]}} {"board": "BCDoooBCDEEEoooFFFGGGHoIoooHJIoAAHJI", "size": 6, "moves": 5, "solution": ["F<3", "H^1", "I^1", "J^1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BCDoooBCDEEEoooFFFGGGHoIoooHJIoAAHJI\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<3,H^1,I^1,J^1,A>3\n"]}} {"board": "oBoooooBCDooooCDooEEEDooAAFoooooFooo", "size": 6, "moves": 5, "solution": ["C^1", "D^1", "E>3", "F^2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoooooBCDooooCDooEEEDooAAFoooooFooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^1,E>3,F^2,A>4\n"]}} {"board": "oooBBBooAACDoEooCDFEGGCoFEoHHHooooII", "size": 6, "moves": 5, "solution": ["Dv1", "D^1", "H<2", "Dv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBooAACDoEooCDFEGGCoFEoHHHooooII\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,D^1,H<2,Dv1,A>2\n"]}} {"board": "oooooBooCAABDDCooBEoCFGGEooFooHHHFII", "size": 6, "moves": 11, "solution": ["Cv1", "A<3", "D^2", "F^3", "H>1", "Fv1", "F<4", "Bv2", "Bv2", "Bv2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBooCAABDDCooBEoCFGGEooFooHHHFII\nOptimal length (moves): 11\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A<3,D^2,F^3,H>1,Fv1,F<4,Bv2,Bv2,Bv2,A>4\n"]}} {"board": "oooBBBCooDDDCooEFoCooEFoAAoEFooooGGG", "size": 6, "moves": 6, "solution": ["A>1", "Cv1", "C<3", "E^1", "F^1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBCooDDDCooEFoCooEFoAAoEFooooGGG\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,Cv1,C<3,E^1,F^1,A>3\n"]}} {"board": "oBoCCCoBAAoDooEEFDooooFGHIIoFGHoJJKK", "size": 6, "moves": 5, "solution": ["J<1", "K<1", "Gv1", "Dv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoCCCoBAAoDooEEFDooooFGHIIoFGHoJJKK\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nJ<1,K<1,Gv1,Dv1,A>2\n"]}} {"board": "AAooBooCDDBooCoEEEooFGGoHHFoooooFoII", "size": 6, "moves": 5, "solution": ["A>2", "C^1", "E<2", "Cv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAooBooCDDBooCoEEEooFGGoHHFoooooFoII\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,C^1,E<2,Cv1,A>2\n"]}} {"board": "oBBBCoAAooCDEEoFFDoGoHHDIGoJJoIKKoLL", "size": 6, "moves": 5, "solution": ["Dv1", "E<1", "H<1", "Cv2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBCoAAooCDEEoFFDoGoHHDIGoJJoIKKoLL\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,E<1,H<1,Cv2,A>4\n"]}} {"board": "BoCCCoBDooooBDoEEEoFFFGHoIAAGHoIJJGH", "size": 6, "moves": 5, "solution": ["D^1", "E<2", "G^2", "H^2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoCCCoBDooooBDoEEEoFFFGHoIAAGHoIJJGH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E<2,G^2,H^2,A>2\n"]}} {"board": "oooooooooooooAAoBoooCoBoooCoBoooCoDD", "size": 6, "moves": 6, "solution": ["A<1", "C^1", "D<4", "Bv1", "Bv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooooAAoBoooCoBoooCoBoooCoDD\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<1,C^1,D<4,Bv1,Bv1,A>4\n"]}} {"board": "BBBCCCooDDDooooAAEFGGooEFHHHIIFoJJJo", "size": 6, "moves": 5, "solution": ["F^2", "H<1", "I<1", "Fv1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBCCCooDDDooooAAEFGGooEFHHHIIFoJJJo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^2,H<1,I<1,Fv1,A>1\n"]}} {"board": "oooooBoooooBoCAAoBDCoEEEDCFGGGDoFoHH", "size": 6, "moves": 7, "solution": ["A>1", "F^3", "F<1", "G<1", "H<1", "Bv3", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoooooBoCAAoBDCoEEEDCFGGGDoFoHH\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,F^3,F<1,G<1,H<1,Bv3,A>1\n"]}} {"board": "oBBBCoAAooCoooDooooEDFFFoEoooooEoooo", "size": 6, "moves": 8, "solution": ["Cv1", "B>1", "A>2", "Dv2", "D^3", "E<2", "Dv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBCoAAooCoooDooooEDFFFoEoooooEoooo\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,B>1,A>2,Dv2,D^3,E<2,Dv1,A>2\n"]}} {"board": "oBooCooBAACooBoDDDooooEEoooFFooooGGG", "size": 6, "moves": 5, "solution": ["Bv3", "C<2", "E<2", "Bv2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBooCooBAACooBoDDDooooEEoooFFooooGGG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv3,C<2,E<2,Bv2,A>2\n"]}} {"board": "ooooBoAAooBoCCooBoDEFFFoDEooGGDEoHHo", "size": 6, "moves": 7, "solution": ["A>2", "C>2", "E^3", "F<1", "G<2", "Cv2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoAAooBoCCooBoDEFFFoDEooGGDEoHHo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,C>2,E^3,F<1,G<2,Cv2,A>2\n"]}} {"board": "BoooCDBoEoCDoFEGGGoFEooHoooooHAAoooH", "size": 6, "moves": 5, "solution": ["A>3", "Ev2", "F<1", "H^1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoooCDBoEoCDoFEGGGoFEooHoooooHAAoooH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>3,Ev2,F<1,H^1,A>1\n"]}} {"board": "oBoooooBoCCCDBoEFoDAAEFoDoooGGooHHII", "size": 6, "moves": 7, "solution": ["H<1", "Ev2", "A>1", "Bv2", "B<2", "E^1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoooooBoCCCDBoEFoDAAEFoDoooGGooHHII\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nH<1,Ev2,A>1,Bv2,B<2,E^1,A>2\n"]}} {"board": "oooooBooAAoBCoooooCDEEFFoDoGGGoDoooo", "size": 6, "moves": 5, "solution": ["D^3", "E<1", "F<1", "Cv2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBooAAoBCoooooCDEEFFoDoGGGoDoooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^3,E<1,F<1,Cv2,A>2\n"]}} {"board": "AAooBCDoooBCDoEEECDFFoGGHoIJJJHoIKKK", "size": 6, "moves": 5, "solution": ["E<1", "Bv1", "G<1", "Bv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAooBCDoooBCDoEEECDFFoGGHoIJJJHoIKKK\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv1,G<1,Bv1,A>4\n"]}} {"board": "ooooooooBCCCDoBoooDAAoEoDFFoEoooooEo", "size": 6, "moves": 7, "solution": ["D^2", "A<1", "F<1", "Cv3", "C<2", "D^3", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooBCCCDoBoooDAAoEoDFFoEoooooEo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,A<1,F<1,Cv3,C<2,D^3,A>4\n"]}} {"board": "BCoDDDBCEFFFBCEooGoHAAoGIHJJoGIHoKKK", "size": 6, "moves": 6, "solution": ["D<1", "A>1", "Ev1", "E<1", "G^2", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BCoDDDBCEFFFBCEooGoHAAoGIHJJoGIHoKKK\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,A>1,Ev1,E<1,G^2,A>1\n"]}} {"board": "AABoooooBoCCooBooDoEEEoDoooFFFoooooo", "size": 6, "moves": 5, "solution": ["C<1", "D^1", "E>2", "Bv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AABoooooBoCCooBooDoEEEoDoooFFFoooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,D^1,E>2,Bv1,A>4\n"]}} {"board": "ooBoooAABCoooooCDoEEECDoFGooHHFGoooo", "size": 6, "moves": 8, "solution": ["C^1", "D^1", "E>3", "Bv4", "D<3", "Bv2", "Bv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoooAABCoooooCDoEEECDoFGooHHFGoooo\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^1,E>3,Bv4,D<3,Bv2,Bv1,A>4\n"]}} {"board": "BAACDoBooCDoEFoCGGEFHHooIIIooJoKKLLJ", "size": 6, "moves": 8, "solution": ["F^1", "H<1", "J^1", "L>1", "Cv3", "F<2", "Cv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BAACDoBooCDoEFoCGGEFHHooIIIooJoKKLLJ\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,H<1,J^1,L>1,Cv3,F<2,Cv1,A>3\n"]}} {"board": "BCCCooBooDDDBooEEEooAAFGoHIIFGoHJJFG", "size": 6, "moves": 5, "solution": ["D<2", "E<2", "F^3", "G^3", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BCCCooBooDDDBooEEEooAAFGoHIIFGoHJJFG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<2,E<2,F^3,G^3,A>2\n"]}} {"board": "ooooBoooooBoCoAABoCDEEEoCDoooooooFFo", "size": 6, "moves": 5, "solution": ["D^2", "E<1", "F<1", "Bv3", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoooooBoCoAABoCDEEEoCDoooooooFFo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,E<1,F<1,Bv3,A>2\n"]}} {"board": "ooBoooAABoCoooooCoDEFFCGDEoooGDEHHHo", "size": 6, "moves": 7, "solution": ["C^1", "F>1", "H>1", "Bv4", "E<1", "Bv2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoooAABoCoooooCoDEFFCGDEoooGDEHHHo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,F>1,H>1,Bv4,E<1,Bv2,A>4\n"]}} {"board": "oooBBBCCCDoooEFDoooEFGHooEFGHooAAGHo", "size": 6, "moves": 5, "solution": ["B<3", "D^1", "G^1", "H^1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBCCCDoooEFDoooEFGHooEFGHooAAGHo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<3,D^1,G^1,H^1,A>3\n"]}} {"board": "oooooBooCooBAACooBDDCoooooEEEooooooo", "size": 6, "moves": 7, "solution": ["E>1", "Cv2", "A>3", "D^2", "E<1", "Bv3", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBooCooBAACooBDDCoooooEEEooooooo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nE>1,Cv2,A>3,D^2,E<1,Bv3,A>1\n"]}} {"board": "BBBoCoAAooCDoEEFFDooGHHHIoGoooIooJJo", "size": 6, "moves": 7, "solution": ["E<1", "F<1", "Gv1", "G<2", "Cv2", "Cv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBoCoAAooCDoEEFFDooGHHHIoGoooIooJJo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,F<1,Gv1,G<2,Cv2,Cv1,A>4\n"]}} {"board": "ooBooCAABooCooBooCooDDDoooooooEEEFFF", "size": 6, "moves": 7, "solution": ["D>1", "Bv2", "A>3", "C^2", "D<1", "Cv2", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBooCAABooCooBooCooDDDoooooooEEEFFF\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nD>1,Bv2,A>3,C^2,D<1,Cv2,A>1\n"]}} {"board": "BoAACoBoooCoooDDEooFGoEoHFGIJJHFGIoo", "size": 6, "moves": 7, "solution": ["D<2", "G^2", "I^2", "J<2", "Gv1", "Cv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoAACoBoooCoooDDEooFGoEoHFGIJJHFGIoo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<2,G^2,I^2,J<2,Gv1,Cv1,A>2\n"]}} {"board": "ooooBooCooBDoCAABDECoFFFEGGGoHEooIIH", "size": 6, "moves": 6, "solution": ["C^1", "D^1", "F<2", "I<1", "Cv3", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBooCooBDoCAABDECoFFFEGGGoHEooIIH\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^1,F<2,I<1,Cv3,A>2\n"]}} {"board": "oooBBBoooCooAAoCoDoooCoDooEEEDooFFoo", "size": 6, "moves": 5, "solution": ["Dv1", "E<2", "F<1", "Cv2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBoooCooAAoCoDoooCoDooEEEDooFFoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,E<2,F<1,Cv2,A>4\n"]}} {"board": "oBoCCCoBDooooBDoooAADooEFFoGoEoooGoE", "size": 6, "moves": 6, "solution": ["D^1", "A>3", "Cv1", "C<1", "E^3", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoCCCoBDooooBDoooAADooEFFoGoEoooGoE\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>3,Cv1,C<1,E^3,A>1\n"]}} {"board": "BBBCooAAoCoDooECoDoFEooDoFoGGooooHHH", "size": 6, "moves": 5, "solution": ["Dv1", "F^1", "G<2", "Cv2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBCooAAoCoDooECoDoFEooDoFoGGooooHHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,F^1,G<2,Cv2,A>4\n"]}} {"board": "oBBBoooooooCoAAooCDDEEoCoFoGHHoFoGoo", "size": 6, "moves": 8, "solution": ["B<1", "C^1", "E>2", "G^4", "F<1", "H<1", "Dv3", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBoooooooCoAAooCDDEEoCoFoGHHoFoGoo\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,C^1,E>2,G^4,F<1,H<1,Dv3,A>3\n"]}} {"board": "oooBBBooooCooAAoCoooooCDoooEEDooFFGG", "size": 6, "moves": 5, "solution": ["E<1", "F<2", "G<2", "Cv2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBooooCooAAoCoooooCDoooEEDooFFGG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,F<2,G<2,Cv2,A>3\n"]}} {"board": "ooBBBCDAAEoCDooEFFDoooooooGGGooooooo", "size": 6, "moves": 5, "solution": ["G<2", "Ev2", "E<1", "Cv2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBCDAAEoCDooEFFDoooooooGGGooooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<2,Ev2,E<1,Cv2,A>3\n"]}} {"board": "oAABoooooBCCoooBDoEFFGDoEHHGoIEJJJoI", "size": 6, "moves": 5, "solution": ["E^1", "J<1", "Gv1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAABoooooBCCoooBDoEFFGDoEHHGoIEJJJoI\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,J<1,Gv1,Bv1,A>3\n"]}} {"board": "ooAABCooooBCoDDoEoFFooEGHHHoEGoIIJJG", "size": 6, "moves": 6, "solution": ["Cv1", "I<1", "J<1", "Ev1", "Bv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAABCooooBCoDDoEoFFooEGHHHoEGoIIJJG\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,I<1,J<1,Ev1,Bv1,A>2\n"]}} {"board": "oBBBCooAAoCooDDoCoooooEEoFFoGGoooHHH", "size": 6, "moves": 5, "solution": ["E<2", "F<1", "G<2", "Cv2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBCooAAoCooDDoCoooooEEoFFoGGoooHHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<2,F<1,G<2,Cv2,A>3\n"]}} {"board": "AAooBCooooBCoDDoBCEFoGGGEFooooEFoooo", "size": 6, "moves": 7, "solution": ["A>2", "D>1", "F^3", "G<2", "Cv1", "Cv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAooBCooooBCoDDoBCEFoGGGEFooooEFoooo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,D>1,F^3,G<2,Cv1,Cv1,A>2\n"]}} {"board": "oBoCCCoBooDooAAoDooEEEFFGoooooGoHHHo", "size": 6, "moves": 5, "solution": ["A>1", "Bv1", "B<2", "D^1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoCCCoBooDooAAoDooEEEFFGoooooGoHHHo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,Bv1,B<2,D^1,A>2\n"]}} {"board": "ooooBoCDDDBoCAAoBoCooEEEooFFFoooGGHH", "size": 6, "moves": 6, "solution": ["E<2", "F<1", "G<2", "H<2", "Bv3", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoCDDDBoCAAoBoCooEEEooFFFoooGGHH\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<2,F<1,G<2,H<2,Bv3,A>3\n"]}} {"board": "BooAACBDDDoCBEEEFFoGoHoooGoHoooGIIJJ", "size": 6, "moves": 5, "solution": ["Bv3", "D<1", "E<1", "Bv1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BooAACBDDDoCBEEEFFoGoHoooGoHoooGIIJJ\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv3,D<1,E<1,Bv1,A>1\n"]}} {"board": "oBoooCoBoooCoBAAoCDDDEFFGGGEoooooHHo", "size": 6, "moves": 5, "solution": ["H<2", "Ev1", "E<1", "Cv3", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoooCoBoooCoBAAoCDDDEFFGGGEoooooHHo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nH<2,Ev1,E<1,Cv3,A>2\n"]}} {"board": "ooAABCDDoEBCFooEBGFHHEoGFooIIIoooJJo", "size": 6, "moves": 5, "solution": ["Bv1", "I<1", "Gv1", "Bv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAABCDDoEBCFooEBGFHHEoGFooIIIoooJJo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,I<1,Gv1,Bv1,A>2\n"]}} {"board": "oooBBBooCooDAACooDEEFFFGoHIIJGoHooJG", "size": 6, "moves": 6, "solution": ["C^1", "A>3", "Bv1", "B<1", "D^1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBooCooDAACooDEEFFFGoHIIJGoHooJG\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>3,Bv1,B<1,D^1,A>1\n"]}} {"board": "oooBBBooCCCoDooEEEDoAAFGHoIIFGHJJoFG", "size": 6, "moves": 6, "solution": ["B<2", "C<1", "E<2", "F^3", "G^3", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBooCCCoDooEEEDoAAFGHoIIFGHJJoFG\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,C<1,E<2,F^3,G^3,A>2\n"]}} {"board": "oBAACoDBooCoDEooCFoEGGGFHHooIIooJJoo", "size": 6, "moves": 5, "solution": ["H>2", "Ev2", "F<1", "Cv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBAACoDBooCoDEooCFoEGGGFHHooIIooJJoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nH>2,Ev2,F<1,Cv1,A>2\n"]}} {"board": "oooBoooAABCDoEooCDoEooCDoEoFFooGGooo", "size": 6, "moves": 5, "solution": ["Bv2", "Cv1", "F<1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoooAABCDoEooCDoEooCDoEoFFooGGooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,Cv1,F<1,Bv1,A>3\n"]}} {"board": "BCDoooBCDEEEBCooFoAAooFGoooHHGooIIIo", "size": 6, "moves": 5, "solution": ["Gv1", "G<1", "I<1", "Fv2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BCDoooBCDEEEBCooFoAAooFGoooHHGooIIIo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nGv1,G<1,I<1,Fv2,A>4\n"]}} {"board": "oAAoBCDDDoBCooEEFFoGoooooGHHoooGoIIo", "size": 6, "moves": 5, "solution": ["E<2", "F<2", "Bv1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAoBCDDDoBCooEEFFoGoooooGHHoooGoIIo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<2,F<2,Bv1,Bv1,A>3\n"]}} {"board": "ooooooBooCCCBDoooooDoEooAAFEoGooFEoG", "size": 6, "moves": 6, "solution": ["Bv1", "B<3", "E^2", "F^2", "G^2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooBooCCCBDoooooDoEooAAFEoGooFEoG\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,B<3,E^2,F^2,G^2,A>4\n"]}} {"board": "oooBBBooooCooDDDCooAAECooooEoooooEoo", "size": 6, "moves": 5, "solution": ["B<3", "C^1", "D<1", "E^3", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBooooCooDDDCooAAECooooEoooooEoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<3,C^1,D<1,E^3,A>3\n"]}} {"board": "AABoooCDBEEECDBoooCoFFFGHHoIIGoJJKKK", "size": 6, "moves": 6, "solution": ["J<1", "K<1", "Gv1", "F>1", "Bv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AABoooCDBEEECDBoooCoFFFGHHoIIGoJJKKK\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nJ<1,K<1,Gv1,F>1,Bv1,A>4\n"]}} {"board": "ooooooBoCDDDBoCoEoBoAAEoooooEooooooo", "size": 6, "moves": 6, "solution": ["B^1", "A<2", "Cv3", "C<2", "D^2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooBoCDDDBoCoEoBoAAEoooooEooooooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,A<2,Cv3,C<2,D^2,A>4\n"]}} {"board": "oAAooBoooooBCDoEEBCDFGGGCDFoooooFHHH", "size": 6, "moves": 5, "solution": ["A>2", "F^3", "G<1", "Cv1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAooBoooooBCDoEEBCDFGGGCDFoooooFHHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,F^3,G<1,Cv1,A>1\n"]}} {"board": "oBoooCoBAAoCoBoooCDoEEFFDoooGGDooooo", "size": 6, "moves": 5, "solution": ["E<1", "F<1", "G<1", "Cv2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoooCoBAAoCoBoooCDoEEFFDoooGGDooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,F<1,G<1,Cv2,A>2\n"]}} {"board": "ooAABCDDEEBCoFoooCGFHHIIGoJJJoGooKKK", "size": 6, "moves": 6, "solution": ["Bv1", "Fv2", "G<1", "H<1", "Bv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAABCDDEEBCoFoooCGFHHIIGoJJJoGooKKK\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Fv2,G<1,H<1,Bv1,A>2\n"]}} {"board": "oooooBoAAooBoooooBoCDooooCDEEEoCDFFo", "size": 6, "moves": 5, "solution": ["A>2", "D^2", "E<1", "Bv2", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoAAooBoooooBoCDooooCDEEEoCDFFo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,D^2,E<1,Bv2,A>1\n"]}} {"board": "oooooBCCCooBDoooEFDAAoEFGoooHHGoooII", "size": 6, "moves": 5, "solution": ["E^1", "H<1", "I<1", "Fv2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBCCCooBDoooEFDAAoEFGoooHHGoooII\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,H<1,I<1,Fv2,A>3\n"]}} {"board": "BoooooBooCCCBooDDDoooEoooAAEoooooEoo", "size": 6, "moves": 5, "solution": ["Bv3", "B<3", "C<3", "E^2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoooooBooCCCBooDDDoooEoooAAEoooooEoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv3,B<3,C<3,E^2,A>3\n"]}} {"board": "AAooBoooCoBoooCDDDooCooooEooFFoEGGGo", "size": 6, "moves": 5, "solution": ["G>1", "Cv2", "C<2", "Bv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAooBoooCoBoooCDDDooCooooEooFFoEGGGo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nG>1,Cv2,C<2,Bv1,A>4\n"]}} {"board": "ooBBBooooCooAAoCDEFGGCDEFHHHoEFooIII", "size": 6, "moves": 8, "solution": ["A>1", "Dv1", "E^2", "H<1", "I<3", "Dv2", "Dv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBooooCooAAoCDEFGGCDEFHHHoEFooIII\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,Dv1,E^2,H<1,I<3,Dv2,Dv1,A>3\n"]}} {"board": "AAoBoCoDDBoCooEEFFGGooHHooIIIJoooooJ", "size": 6, "moves": 6, "solution": ["E<1", "I<2", "Bv3", "E<1", "Bv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoBoCoDDBoCooEEFFGGooHHooIIIJoooooJ\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,I<2,Bv3,E<1,Bv1,A>4\n"]}} {"board": "BoooCDBoooCDBoEAADooEoFFGoEHHHGooIII", "size": 6, "moves": 6, "solution": ["E^1", "F<1", "H<1", "I<1", "Dv3", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoooCDBoooCDBoEAADooEoFFGoEHHHGooIII\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,F<1,H<1,I<1,Dv3,A>1\n"]}} {"board": "ooBoooCoBDDDCooooEoooFoEAAoFoGoHHooG", "size": 6, "moves": 6, "solution": ["Bv2", "C<1", "E^2", "F^1", "G^2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoooCoBDDDCooooEoooFoEAAoFoGoHHooG\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,C<1,E^2,F^1,G^2,A>4\n"]}} {"board": "oooAABoooooBoooooCDEEooCDoFooCooFGGG", "size": 6, "moves": 6, "solution": ["E>2", "F^1", "G<1", "Cv1", "Bv1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooAABoooooBoooooCDEEooCDoFooCooFGGG\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nE>2,F^1,G<1,Cv1,Bv1,A>1\n"]}} {"board": "oooBBBoooCCCDDDooooAAoEFooooEFooGGEF", "size": 6, "moves": 5, "solution": ["B<2", "C<2", "E^3", "F^3", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBoooCCCDDDooooAAoEFooooEFooGGEF\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,C<2,E^3,F^3,A>3\n"]}} {"board": "oooooBAACoDBooCoDoEFooGGEFooooEFoooo", "size": 6, "moves": 5, "solution": ["Cv3", "F<2", "Bv2", "Bv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBAACoDBooCoDoEFooGGEFooooEFoooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv3,F<2,Bv2,Bv1,A>4\n"]}} {"board": "oooBoCAAoBoCDooBEEDFFoooooGGHIJJJoHI", "size": 6, "moves": 5, "solution": ["G<1", "Bv3", "D<1", "Bv2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoCAAoBoCDooBEEDFFoooooGGHIJJJoHI\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,Bv3,D<1,Bv2,A>4\n"]}} {"board": "oooooooBBBoCoAAooCDEoooCDEoFGGoEoFoo", "size": 6, "moves": 5, "solution": ["B<1", "F^4", "G<1", "Dv2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooBBBoCoAAooCDEoooCDEoFGGoEoFoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,F^4,G<1,Dv2,A>3\n"]}} {"board": "AAoBoCDDoBoCoEEBoCFooGGGFHIooooHIJJJ", "size": 6, "moves": 5, "solution": ["Fv1", "F<3", "Bv1", "Bv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoBoCDDoBoCoEEBoCFooGGGFHIooooHIJJJ\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nFv1,F<3,Bv1,Bv1,A>4\n"]}} {"board": "ooBCCCooBDoooAADEooFoDEoGFoooHGFIIoH", "size": 6, "moves": 5, "solution": ["Ev1", "H^1", "I>2", "Dv2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBCCCooBDoooAADEooFoDEoGFoooHGFIIoH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,H^1,I>2,Dv2,A>3\n"]}} {"board": "ooBAACooBDDCoEFFoCoEGGHHoEIoJJKKIooo", "size": 6, "moves": 5, "solution": ["E^2", "G<1", "H<1", "Dv1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBAACooBDDCoEFFoCoEGGHHoEIoJJKKIooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^2,G<1,H<1,Dv1,A>1\n"]}} {"board": "BoooCoBAAoCDBoooCDoooooDoEoFFFoEoGGo", "size": 6, "moves": 5, "solution": ["E^2", "F<2", "Cv2", "Cv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoooCoBAAoCDBoooCDoooooDoEoFFFoEoGGo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^2,F<2,Cv2,Cv1,A>3\n"]}} {"board": "ooBBBoAAoCDoEFFCDGEHIJDGEHIJoGoHoKKo", "size": 6, "moves": 5, "solution": ["Dv1", "K>1", "Jv1", "Cv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBoAAoCDoEFFCDGEHIJDGEHIJoGoHoKKo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,K>1,Jv1,Cv1,A>4\n"]}} {"board": "oooBBBooCCCooAADEooooDEFoGHoEFoGHIIF", "size": 6, "moves": 5, "solution": ["Dv1", "H^1", "I<1", "Dv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBooCCCooAADEooooDEFoGHoEFoGHIIF\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,H^1,I<1,Dv1,A>3\n"]}} {"board": "oooAABCoDDoBCEEooBCFGGHHoFIIIoJJJKKK", "size": 6, "moves": 6, "solution": ["E>1", "F^2", "G<1", "H<1", "Bv1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooAABCoDDoBCEEooBCFGGHHoFIIIoJJJKKK\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nE>1,F^2,G<1,H<1,Bv1,A>1\n"]}} {"board": "BBBCCCAADoEFoGDoEFHGoIoFHJJIKKHooLLL", "size": 6, "moves": 6, "solution": ["Dv1", "Dv1", "I^1", "K<1", "Dv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBCCCAADoEFoGDoEFHGoIoFHJJIKKHooLLL\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,Dv1,I^1,K<1,Dv1,A>4\n"]}} {"board": "oooBoooAABooooCDDDEFCoGGEFHHHoEFooII", "size": 6, "moves": 5, "solution": ["H>1", "Cv1", "C<3", "Bv2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoooAABooooCDDDEFCoGGEFHHHoEFooII\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nH>1,Cv1,C<3,Bv2,A>3\n"]}} {"board": "BBBoCooDDDCoEEEoFGoAAoFGHHoIIGooJJKK", "size": 6, "moves": 6, "solution": ["G^2", "I<1", "J<2", "K<2", "Gv2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBoCooDDDCoEEEoFGoAAoFGHHoIIGooJJKK\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nG^2,I<1,J<2,K<2,Gv2,A>3\n"]}} {"board": "oooBBBCoDDDoCoEEEooooFoGoAAFoGoHHFoG", "size": 6, "moves": 6, "solution": ["Cv2", "C<2", "D<2", "F^2", "G^2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBCoDDDoCoEEEooooFoGoAAFoGoHHFoG\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,C<2,D<2,F^2,G^2,A>3\n"]}} {"board": "ooooBoAAooBoCCCooooDoEEEoDoFFFGGoHHH", "size": 6, "moves": 7, "solution": ["A>2", "C>2", "D^3", "D<1", "E<2", "Cv2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoAAooBoCCCooooDoEEEoDoFFFGGoHHH\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,C>2,D^3,D<1,E<2,Cv2,A>2\n"]}} {"board": "oAAooBooCooBDDCEEBFGGHHHFoIJJJFoIooo", "size": 6, "moves": 8, "solution": ["A>2", "C^1", "D>1", "F^3", "G<1", "H<1", "Dv1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAooBooCooBDDCEEBFGGHHHFoIJJJFoIooo\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,C^1,D>1,F^3,G<1,H<1,Dv1,A>1\n"]}} {"board": "ooooBooAACBooooCBoDooCooDoEEEoDoooFF", "size": 6, "moves": 5, "solution": ["D^2", "E<2", "Bv2", "Cv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBooAACBooooCBoDooCooDoEEEoDoooFF\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,E<2,Bv2,Cv1,A>3\n"]}} {"board": "oooooooBooooCBoDDDCooEooCAAEoooooEoo", "size": 6, "moves": 5, "solution": ["B^1", "Cv1", "C<3", "E^2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooBooooCBoDDDCooEooCAAEoooooEoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,Cv1,C<3,E^2,A>3\n"]}} {"board": "BoooooBoooooBoCCCooAADooEEoDoFoooDoF", "size": 6, "moves": 5, "solution": ["E>1", "Bv3", "B<2", "D^3", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoooooBoooooBoCCCooAADooEEoDoFoooDoF\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE>1,Bv3,B<2,D^3,A>3\n"]}} {"board": "ooooooooBoCoAABoCoooooCooooDDDEEoFFo", "size": 6, "moves": 5, "solution": ["B^1", "D<2", "F<1", "Cv2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooBoCoAABoCoooooCooooDDDEEoFFo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,D<2,F<1,Cv2,A>4\n"]}} {"board": "oooooBooAAoBoooooBCoDEooCoDEFFCGGEoo", "size": 6, "moves": 7, "solution": ["A<1", "D^1", "E^2", "F<3", "Bv2", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBooAAoBoooooBCoDEooCoDEFFCGGEoo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<1,D^1,E^2,F<3,Bv2,Bv1,A>3\n"]}} {"board": "oBoCCCoBAAoDEooooDEooooDEFGGHHoFoIIo", "size": 6, "moves": 5, "solution": ["F^2", "G<1", "H<1", "Dv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoCCCoBAAoDEooooDEooooDEFGGHHoFoIIo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^2,G<1,H<1,Dv1,A>2\n"]}} {"board": "AAoooBoCCDDBoooEoBoooEFFooGHHHIIGooo", "size": 6, "moves": 6, "solution": ["G^2", "H<3", "Fv2", "F<1", "Bv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoooBoCCDDBoooEoBoooEFFooGHHHIIGooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nG^2,H<3,Fv2,F<1,Bv1,A>4\n"]}} {"board": "ooooBCooAABCoDoooCoDEEEooDooooFFoooo", "size": 6, "moves": 5, "solution": ["Cv2", "C^2", "E<1", "Cv2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBCooAABCoDoooCoDEEEooDooooFFoooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,C^2,E<1,Cv2,A>2\n"]}} {"board": "oooooBoooooBoAAooBooCDDDooCEEEooCFFF", "size": 6, "moves": 7, "solution": ["A>2", "C^3", "D<1", "E<1", "F<1", "Cv3", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoooooBoAAooBooCDDDooCEEEooCFFF\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,C^3,D<1,E<1,F<1,Cv3,A>1\n"]}} {"board": "oBBBooCooDDDCEoooooEoFoGAAoFHGIIIFHG", "size": 6, "moves": 6, "solution": ["Cv1", "C<3", "F^2", "G^2", "H^2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBooCooDDDCEoooooEoFoGAAoFHGIIIFHG\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,C<3,F^2,G^2,H^2,A>4\n"]}} {"board": "oAAoBooCDoBooCDoEEooDoooFFFooooooGGG", "size": 6, "moves": 5, "solution": ["F>3", "Dv2", "D<2", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAoBooCDoBooCDoEEooDoooFFFooooooGGG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nF>3,Dv2,D<2,Bv1,A>3\n"]}} {"board": "ooBoooooBCCCooooooooAAoDoooooDooEEoD", "size": 6, "moves": 5, "solution": ["A>1", "Bv2", "B<1", "D^3", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoooooBCCCooooooooAAoDoooooDooEEoD\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,Bv2,B<1,D^3,A>1\n"]}} {"board": "oAABoooooBoooooBoooCoDEEFCoDGGFCHHHo", "size": 6, "moves": 6, "solution": ["C^1", "F^1", "H<2", "Ev1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAABoooooBoooooBoooCoDEEFCoDGGFCHHHo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,F^1,H<2,Ev1,Bv1,A>3\n"]}} {"board": "oooooooooBoCDAABoCDEEBoCDFFFooGGoooo", "size": 6, "moves": 5, "solution": ["Cv2", "C^1", "F<1", "Cv2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBoCDAABoCDEEBoCDFFFooGGoooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,C^1,F<1,Cv2,A>3\n"]}} {"board": "oooooBAAoooBoCCDDBEFGHHHEFGoooEoGooo", "size": 6, "moves": 6, "solution": ["A>3", "C<1", "G^3", "H<1", "Cv2", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBAAoooBoCCDDBEFGHHHEFGoooEoGooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>3,C<1,G^3,H<1,Cv2,A>1\n"]}} {"board": "ooAABooooCBoDooCEEDFFGGGDoooHoooooHo", "size": 6, "moves": 6, "solution": ["A<1", "C^1", "E<3", "Bv1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAABooooCBoDooCEEDFFGGGDoooHoooooHo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<1,C^1,E<3,Bv1,Bv1,A>3\n"]}} {"board": "ooBBBCoDoAACoDEEEFoGGGoFHIIJJJHKKKLL", "size": 6, "moves": 8, "solution": ["H^2", "I<1", "J<1", "K<1", "L<1", "Gv2", "Cv2", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBCoDoAACoDEEEFoGGGoFHIIJJJHKKKLL\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nH^2,I<1,J<1,K<1,L<1,Gv2,Cv2,A>1\n"]}} {"board": "ooBoooAABoooooBooCDDDEoCFFoEoCooooGG", "size": 6, "moves": 9, "solution": ["C^2", "Ev1", "D>3", "Bv2", "A>3", "C^2", "D<1", "Cv2", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoooAABoooooBooCDDDEoCFFoEoCooooGG\nOptimal length (moves): 9\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,Ev1,D>3,Bv2,A>3,C^2,D<1,Cv2,A>1\n"]}} {"board": "ooooBoooooBoooAABoooooooooCDEEooCDoo", "size": 6, "moves": 6, "solution": ["A<2", "C^4", "D^4", "E<2", "Dv3", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoooooBoooAABoooooooooCDEEooCDoo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<2,C^4,D^4,E<2,Dv3,A>4\n"]}} {"board": "oooooooAAoBoCoooBoCoDEEECoDoooooDooo", "size": 6, "moves": 7, "solution": ["A<1", "D^3", "E<2", "Cv3", "D>2", "Bv2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooAAoBoCoooBoCoDEEECoDoooooDooo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<1,D^3,E<2,Cv3,D>2,Bv2,A>4\n"]}} {"board": "BBBCDoAAoCDoEFFoDoEGGoHHEooIIooJJJKK", "size": 6, "moves": 10, "solution": ["A>1", "I<2", "J<1", "Cv4", "B>1", "D^2", "F<1", "G<2", "Dv2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBCDoAAoCDoEFFoDoEGGoHHEooIIooJJJKK\nOptimal length (moves): 10\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,I<2,J<1,Cv4,B>1,D^2,F<1,G<2,Dv2,A>3\n"]}} {"board": "BBBoCooDAACooDEFGGoDEFoHooEooHIIJJoH", "size": 6, "moves": 6, "solution": ["Fv1", "J>1", "Ev1", "E<2", "Cv2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBoCooDAACooDEFGGoDEFoHooEooHIIJJoH\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nFv1,J>1,Ev1,E<2,Cv2,A>2\n"]}} {"board": "oooBBBCCCDEooAADEoooooEoooFoGGooFHHH", "size": 6, "moves": 8, "solution": ["A<1", "F^2", "G<4", "Dv2", "Ev1", "H<2", "Dv2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBCCCDEooAADEoooooEoooFoGGooFHHH\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<1,F^2,G<4,Dv2,Ev1,H<2,Dv2,A>4\n"]}} {"board": "oooooBoooAABoooCCCDDEFFFooEooooooGGG", "size": 6, "moves": 5, "solution": ["C<1", "Ev1", "E<1", "Bv2", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoooAABoooCCCDDEFFFooEooooooGGG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,Ev1,E<1,Bv2,A>1\n"]}} {"board": "ooAABooCCCBDoEEEFDooGHFDooGHFooooHII", "size": 6, "moves": 6, "solution": ["E<1", "H^1", "I<2", "Gv1", "Bv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAABooCCCBDoEEEFDooGHFDooGHFooooHII\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,H^1,I<2,Gv1,Bv1,A>2\n"]}} {"board": "ooBBBoCAAooDCoEEoDFooGoDFoHGIIFoHGJJ", "size": 6, "moves": 8, "solution": ["C^1", "E<2", "G^2", "H^2", "I<3", "Dv1", "Dv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBoCAAooDCoEEoDFooGoDFoHGIIFoHGJJ\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,E<2,G^2,H^2,I<3,Dv1,Dv1,A>3\n"]}} {"board": "AAooBooCDDBooCoEEEFoGHooFIGHoooIGHJJ", "size": 6, "moves": 5, "solution": ["A>2", "C^1", "E<2", "Cv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAooBooCDDBooCoEEEFoGHooFIGHoooIGHJJ\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,C^1,E<2,Cv1,A>2\n"]}} {"board": "oooooBoAAooBCoDDEECoFoGGCHFoIIoHoJJJ", "size": 6, "moves": 5, "solution": ["D<1", "E<1", "G<1", "Bv2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoAAooBCoDDEECoFoGGCHFoIIoHoJJJ\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,E<1,G<1,Bv2,A>3\n"]}} {"board": "oBoooooBoooCoooooCooooDCoooEDFoAAEDF", "size": 6, "moves": 5, "solution": ["C^1", "D^1", "E^1", "F^1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoooooBoooCoooooCooooDCoooEDFoAAEDF\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^1,E^1,F^1,A>3\n"]}} {"board": "AAooBoooCCBoDoEEFFDoGGoHoIIooHoJJJoH", "size": 6, "moves": 5, "solution": ["Dv1", "D<2", "E<2", "Bv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAooBoooCCBoDoEEFFDoGGoHoIIooHoJJJoH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,D<2,E<2,Bv1,A>4\n"]}} {"board": "ooAABoCoooBDCEEEBDFooGHHFooGIIFooGoo", "size": 6, "moves": 8, "solution": ["A<1", "C^1", "E<1", "G^3", "H<3", "Cv1", "Cv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAABoCoooBDCEEEBDFooGHHFooGIIFooGoo\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<1,C^1,E<1,G^3,H<3,Cv1,Cv1,A>3\n"]}} {"board": "BCCCDoBoAADooEEoFFGooHHHGIooJJGIooKK", "size": 6, "moves": 5, "solution": ["E<1", "F<2", "H<2", "Dv2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BCCCDoBoAADooEEoFFGooHHHGIooJJGIooKK\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,F<2,H<2,Dv2,A>2\n"]}} {"board": "BBBCoDAAoCoDEEECooooFFGGooHHHoIIoJJJ", "size": 6, "moves": 8, "solution": ["F<1", "G<1", "H<2", "J<1", "Dv4", "F>1", "Cv2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBCoDAAoCoDEEECooooFFGGooHHHoIIoJJJ\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,G<1,H<2,J<1,Dv4,F>1,Cv2,A>4\n"]}} {"board": "ooooooooBoooooBCCCooBooDooAAoDoooooD", "size": 6, "moves": 5, "solution": ["A>1", "Bv2", "B<1", "D^2", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooBoooooBCCCooBooDooAAoDoooooD\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,Bv2,B<1,D^2,A>1\n"]}} {"board": "ooBAACooBooCooBDDDooooooEEFFFoooooGG", "size": 6, "moves": 5, "solution": ["F>1", "Bv3", "C<1", "Bv1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBAACooBooCooBDDDooooooEEFFFoooooGG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nF>1,Bv3,C<1,Bv1,A>1\n"]}} {"board": "ooooBooAAoBCoDoooCEDFFGGEDooHHEooooo", "size": 6, "moves": 8, "solution": ["A>1", "D^2", "E^3", "F<2", "G<2", "Dv2", "Dv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBooAAoBCoDoooCEDFFGGEDooHHEooooo\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,D^2,E^3,F<2,G<2,Dv2,Dv1,A>2\n"]}} {"board": "AAooBoooCCBoooDEEEooDFGHooDFGHooIIGH", "size": 6, "moves": 5, "solution": ["I<2", "Dv1", "D<2", "Bv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAooBoooCCBoooDEEEooDFGHooDFGHooIIGH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nI<2,Dv1,D<2,Bv1,A>4\n"]}} {"board": "ooooBoooooBoAAooBoooCCDDoooEEEoooFFF", "size": 6, "moves": 6, "solution": ["C<2", "D<2", "E<2", "F<2", "Bv3", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoooooBoAAooBoooCCDDoooEEEoooFFF\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,D<2,E<2,F<2,Bv3,A>4\n"]}} {"board": "ooBoooooBooooooCCCoooDoEAAFDoEooFooo", "size": 6, "moves": 6, "solution": ["C<3", "D^3", "E^3", "E>3", "F^2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoooooBooooooCCCoooDoEAAFDoEooFooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<3,D^3,E^3,E>3,F^2,A>4\n"]}} {"board": "oooBBBCCCooDoooEFDoAAEFDoGGoFoHHoIII", "size": 6, "moves": 5, "solution": ["B<2", "D^1", "E^1", "F^2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBCCCooDoooEFDoAAEFDoGGoFoHHoIII\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,D^1,E^1,F^2,A>3\n"]}} {"board": "BooCCCBAAoDoooooDoEFGoDoEFGHHHoFIIoo", "size": 6, "moves": 6, "solution": ["A>1", "F^2", "G^1", "H<2", "Ev1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BooCCCBAAoDoooooDoEFGoDoEFGHHHoFIIoo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,F^2,G^1,H<2,Ev1,A>2\n"]}} {"board": "oAAooBoooooBCooDEECFoDGGCFoHHIJJoooI", "size": 6, "moves": 5, "solution": ["D^2", "E<3", "Bv1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAooBoooooBCooDEECFoDGGCFoHHIJJoooI\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,E<3,Bv1,Bv1,A>3\n"]}} {"board": "oooooooBBBoCAAoooCoooooCoDDEEEoooFFF", "size": 6, "moves": 5, "solution": ["D<1", "E<1", "F<1", "Cv2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooBBBoCAAoooCoooooCoDDEEEoooFFF\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,E<1,F<1,Cv2,A>4\n"]}} {"board": "ooooBCAAooBCooDoEEFoDoGGFoooooFooHHH", "size": 6, "moves": 6, "solution": ["Dv2", "D<2", "F<2", "Bv2", "Bv2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBCAAooBCooDoEEFoDoGGFoooooFooHHH\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv2,D<2,F<2,Bv2,Bv2,A>4\n"]}} {"board": "oooBoooAABooooooooCoDEEECoDooooooooo", "size": 6, "moves": 5, "solution": ["C^2", "Dv1", "D<3", "Bv2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoooAABooooooooCoDEEECoDooooooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,Dv1,D<3,Bv2,A>3\n"]}} {"board": "oBBBCooooDCoAAoDCoooEoooFoEoGGFoEHHo", "size": 6, "moves": 10, "solution": ["A>1", "F^4", "A<1", "F^2", "G<4", "Fv2", "H<3", "Dv3", "Dv2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBCooooDCoAAoDCoooEoooFoEoGGFoEHHo\nOptimal length (moves): 10\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,F^4,A<1,F^2,G<4,Fv2,H<3,Dv3,Dv2,A>4\n"]}} {"board": "BBBooCoDAAoCoDEFFCoGEoooHGoIJJHGoIKK", "size": 6, "moves": 8, "solution": ["B>2", "D^1", "Ev1", "E<2", "I^2", "J<1", "Dv2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBooCoDAAoCoDEFFCoGEoooHGoIJJHGoIKK\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nB>2,D^1,Ev1,E<2,I^2,J<1,Dv2,A>2\n"]}} {"board": "oBoCCCoBooDooBooDooAAoDEooooFEooGGFo", "size": 6, "moves": 6, "solution": ["A>1", "Bv1", "B<2", "D^1", "E^2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoCCCoBooDooBooDooAAoDEooooFEooGGFo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,Bv1,B<2,D^1,E^2,A>2\n"]}} {"board": "AAooBCooDDBCoooEoCFFFEGGHoIoooHoIJJJ", "size": 6, "moves": 6, "solution": ["Bv1", "C<1", "E^1", "G<1", "Bv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAooBCooDDBCoooEoCFFFEGGHoIoooHoIJJJ\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,C<1,E^1,G<1,Bv1,A>4\n"]}} {"board": "BooCCCBoDoooBoDAAEFGDooEFGHooEFoHIII", "size": 6, "moves": 5, "solution": ["D^1", "H^1", "I<1", "Ev1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BooCCCBoDoooBoDAAEFGDooEFGHooEFoHIII\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,H^1,I<1,Ev1,A>1\n"]}} {"board": "oooooBAAoooBCDDDoBCEEFFFCoGGooooooHH", "size": 6, "moves": 6, "solution": ["A>1", "C^2", "E<1", "F<1", "Cv2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBAAoooBCDDDoBCEEFFFCoGGooooooHH\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,C^2,E<1,F<1,Cv2,A>3\n"]}} {"board": "oBBBoCooAADCEFGGDCEFoHHHEIIIooJJJoKK", "size": 6, "moves": 5, "solution": ["F^1", "H<2", "Cv2", "Dv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBoCooAADCEFGGDCEFoHHHEIIIooJJJoKK\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,H<2,Cv2,Dv1,A>2\n"]}} {"board": "oooBBBAAooCDEEoFCDooGFCDooGFHHIIGoJJ", "size": 6, "moves": 8, "solution": ["F^1", "G^2", "H<4", "Cv1", "Cv1", "Cv1", "Cv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBAAooCDEEoFCDooGFCDooGFHHIIGoJJ\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,G^2,H<4,Cv1,Cv1,Cv1,Cv1,A>4\n"]}} {"board": "oooooooooBCoAAoBCooooBooooDDooooEEoo", "size": 6, "moves": 5, "solution": ["C^1", "D<1", "E<1", "Cv2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBCoAAoBCooooBooooDDooooEEoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D<1,E<1,Cv2,A>4\n"]}} {"board": "oAAoBoCooDBoCooDBECFGGGEHFoIIoHFJJJo", "size": 6, "moves": 5, "solution": ["A>1", "F^3", "G<1", "Cv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAoBoCooDBoCooDBECFGGGEHFoIIoHFJJJo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,F^3,G<1,Cv1,A>2\n"]}} {"board": "ooAABCoDDoBCoEEoFFGHIIJJGHKKKoGooLLL", "size": 6, "moves": 5, "solution": ["E<1", "F<2", "Bv1", "Bv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAABCoDDoBCoEEoFFGHIIJJGHKKKoGooLLL\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,F<2,Bv1,Bv1,A>2\n"]}} {"board": "oBBBooooCDoEAACDoEFGGGHEFoIIHoFJJJHo", "size": 6, "moves": 9, "solution": ["B>2", "C^1", "Ev2", "A>1", "E^3", "F<1", "I<1", "Ev2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBooooCDoEAACDoEFGGGHEFoIIHoFJJJHo\nOptimal length (moves): 9\nReturn only the and blocks.", "\nShortest path found.\n\n\nB>2,C^1,Ev2,A>1,E^3,F<1,I<1,Ev2,A>3\n"]}} {"board": "oAAooBooCooBooCDDBooCEEEoFoGHHoFoGoo", "size": 6, "moves": 5, "solution": ["A>2", "C^1", "E<1", "Cv1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAooBooCooBooCDDBooCEEEoFoGHHoFoGoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,C^1,E<1,Cv1,A>1\n"]}} {"board": "oooBCoDDDBCEoAABCEooooFFoooGGooHHHoo", "size": 6, "moves": 7, "solution": ["E^1", "F<3", "G<2", "Cv3", "H<1", "Bv3", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBCoDDDBCEoAABCEooooFFoooGGooHHHoo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,F<3,G<2,Cv3,H<1,Bv3,A>3\n"]}} {"board": "ooAABooCooBoDCEFFoDCEGGHDIIIoHoooooH", "size": 6, "moves": 6, "solution": ["H^2", "I>2", "Fv1", "F<1", "Bv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAABooCooBoDCEFFoDCEGGHDIIIoHoooooH\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nH^2,I>2,Fv1,F<1,Bv1,A>2\n"]}} {"board": "AABCoDEEBCoDooBCoooFFoGGooHIIIooHJJJ", "size": 6, "moves": 5, "solution": ["Cv1", "Cv1", "F<1", "Bv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AABCoDEEBCoDooBCoooFFoGGooHIIIooHJJJ\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Cv1,F<1,Bv1,A>4\n"]}} {"board": "ooooBCooAABCoDooEEFDooGGFDooooFooHHo", "size": 6, "moves": 5, "solution": ["E<2", "G<2", "Bv2", "Bv2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBCooAABCoDooEEFDooGGFDooooFooHHo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<2,G<2,Bv2,Bv2,A>2\n"]}} {"board": "ooooBoCAAoBoCDoEEECDFGGGHHFIIIoJJKKK", "size": 6, "moves": 8, "solution": ["A>1", "D^2", "E<2", "J<1", "Fv1", "F<2", "Cv2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoCAAoBoCDoEEECDFGGGHHFIIIoJJKKK\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,D^2,E<2,J<1,Fv1,F<2,Cv2,A>2\n"]}} {"board": "AAooBCoDDDBCEooFGGEHIFJoEHIFJoooIoJo", "size": 6, "moves": 5, "solution": ["Fv1", "F<2", "Bv1", "Bv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAooBCoDDDBCEooFGGEHIFJoEHIFJoooIoJo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nFv1,F<2,Bv1,Bv1,A>4\n"]}} {"board": "AAoBoooooBoCoDEBoCFDEGooFoEGoHFoIIIH", "size": 6, "moves": 5, "solution": ["F^1", "I<2", "Gv1", "Bv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoBoooooBoCoDEBoCFDEGooFoEGoHFoIIIH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,I<2,Gv1,Bv1,A>4\n"]}} {"board": "ooooBoCCCoBoooAABoDEooFFDEooGGDoooHH", "size": 6, "moves": 5, "solution": ["F<2", "G<2", "H<2", "Bv3", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoCCCoBoooAABoDEooFFDEooGGDoooHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<2,G<2,H<2,Bv3,A>2\n"]}} {"board": "oooBBBoooCDoAAoCDEFGHHDEFGooIIooJJoo", "size": 6, "moves": 6, "solution": ["B<3", "C^1", "E^2", "I<2", "Ev2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBoooCDoAAoCDEFGHHDEFGooIIooJJoo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<3,C^1,E^2,I<2,Ev2,A>4\n"]}} {"board": "BCoDDDBCoEEEBooFGoAAHFGoooHIIIooHooo", "size": 6, "moves": 5, "solution": ["H^3", "I<3", "Gv2", "Gv2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BCoDDDBCoEEEBooFGoAAHFGoooHIIIooHooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nH^3,I<3,Gv2,Gv2,A>4\n"]}} {"board": "oBBBCDAAooCDEooooFEoGGGFEHHHIIoooJJJ", "size": 6, "moves": 10, "solution": ["A>1", "E^1", "G<1", "Cv2", "H<1", "I<1", "J<1", "Fv2", "Cv2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBCDAAooCDEooooFEoGGGFEHHHIIoooJJJ\nOptimal length (moves): 10\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,E^1,G<1,Cv2,H<1,I<1,J<1,Fv2,Cv2,A>3\n"]}} {"board": "oAAoBoooooBoooooBooCoDDDoCoooEoCoooE", "size": 6, "moves": 5, "solution": ["A>1", "C^3", "D<2", "Cv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAoBoooooBoooooBooCoDDDoCoooEoCoooE\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,C^3,D<2,Cv1,A>2\n"]}} {"board": "oooooBCDDDoBCoEooFAAEooFoooGGGoooooo", "size": 6, "moves": 6, "solution": ["Ev2", "A>3", "F^2", "G<1", "Fv2", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBCDDDoBCoEooFAAEooFoooGGGoooooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv2,A>3,F^2,G<1,Fv2,A>1\n"]}} {"board": "oooBBBooCDDDAACooEFFCoGEooooGHooIIGH", "size": 6, "moves": 6, "solution": ["B<1", "I<2", "Cv2", "C<1", "D^2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBooCDDDAACooEFFCoGEooooGHooIIGH\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,I<2,Cv2,C<1,D^2,A>4\n"]}} {"board": "oBooCooBAACoooooCoooDDEEoooFFooGGHHH", "size": 6, "moves": 5, "solution": ["D<2", "E<2", "F<1", "Cv2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBooCooBAACoooooCoooDDEEoooFFooGGHHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<2,E<2,F<1,Cv2,A>2\n"]}} {"board": "BBBooCoAAooCDEFFoCDEGHHHooGoIIoooJJo", "size": 6, "moves": 5, "solution": ["Gv1", "G<1", "I<1", "Cv2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBooCoAAooCDEFFoCDEGHHHooGoIIoooJJo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nGv1,G<1,I<1,Cv2,A>3\n"]}} {"board": "BooCCCBooDDDoooooEAAoFoEoooFoEoooFoo", "size": 6, "moves": 7, "solution": ["A>1", "Bv2", "B<3", "C<3", "E^2", "F^3", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BooCCCBooDDDoooooEAAoFoEoooFoEoooFoo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,Bv2,B<3,C<3,E^2,F^3,A>3\n"]}} {"board": "oooBBBoCDDDooCoEooAAoEoooFFGGHooIIoH", "size": 6, "moves": 5, "solution": ["H^3", "H>1", "I<1", "Fv2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBoCDDDooCoEooAAoEoooFFGGHooIIoH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nH^3,H>1,I<1,Fv2,A>4\n"]}} {"board": "ooooBooCCCBooDoEEEFDGHooFoGHIooAAHIo", "size": 6, "moves": 5, "solution": ["Dv1", "D<3", "H^1", "I^1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBooCCCBooDoEEEFDGHooFoGHIooAAHIo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,D<3,H^1,I^1,A>3\n"]}} {"board": "ooBoooooBCCCDoBEEEDooooFDooooFooAAoF", "size": 6, "moves": 5, "solution": ["A>1", "Bv3", "D<1", "F^1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoooooBCCCDoBEEEDooooFDooooFooAAoF\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,Bv3,D<1,F^1,A>1\n"]}} {"board": "BCDoooBCDoooBCoEEEooooFGooAAFGooooFo", "size": 6, "moves": 5, "solution": ["Cv3", "D<2", "F^2", "G^1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BCDoooBCDoooBCoEEEooooFGooAAFGooooFo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv3,D<2,F^2,G^1,A>2\n"]}} {"board": "ooooooooooooBoCDDDBoCooEAAoFGEoooFGE", "size": 6, "moves": 7, "solution": ["B^2", "C^2", "D<3", "E^2", "F^2", "G^2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooooBoCDDDBoCooEAAoFGEoooFGE\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^2,C^2,D<3,E^2,F^2,G^2,A>4\n"]}} {"board": "BCDDDEBCAAoEBCoFFEGoHoooGoHIIIGoHJJJ", "size": 6, "moves": 5, "solution": ["A>1", "H^2", "I<1", "Ev2", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BCDDDEBCAAoEBCoFFEGoHoooGoHIIIGoHJJJ\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,H^2,I<1,Ev2,A>1\n"]}} {"board": "ooBBBCoDDDECoAAFECGGGFEooooHHHoooIII", "size": 6, "moves": 6, "solution": ["H<3", "Fv1", "I<2", "Cv3", "Dv2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBCoDDDECoAAFECGGGFEooooHHHoooIII\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nH<3,Fv1,I<2,Cv3,Dv2,A>3\n"]}} {"board": "BoCCCDBEEEFDGGGoFooooHooAAoHoooIIHoo", "size": 6, "moves": 7, "solution": ["G>1", "A>1", "Bv3", "D<1", "F<1", "H^2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoCCCDBEEEFDGGGoFooooHooAAoHoooIIHoo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nG>1,A>1,Bv3,D<1,F<1,H^2,A>3\n"]}} {"board": "ooooooooBooooCBDDDoCBooEoCAAoEoooooE", "size": 6, "moves": 5, "solution": ["A>1", "Bv2", "C<1", "E^2", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooBooooCBDDDoCBooEoCAAoEoooooE\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,Bv2,C<1,E^2,A>1\n"]}} {"board": "oooBBBooCoooDoCEEEDoAAFoDoooFGooHHFG", "size": 6, "moves": 8, "solution": ["B<2", "D^2", "A<2", "H<2", "Dv3", "D<2", "E^3", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBooCoooDoCEEEDoAAFoDoooFGooHHFG\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,D^2,A<2,H<2,Dv3,D<2,E^3,A>4\n"]}} {"board": "oooooooBoooCDBoooCDBEEEoDooFoooAAFoo", "size": 6, "moves": 5, "solution": ["B^1", "D^2", "E<2", "F^1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooBoooCDBoooCDBEEEoDooFoooAAFoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,D^2,E<2,F^1,A>3\n"]}} {"board": "ooooooAAooBooooCBooooCDDEEFFFoooooGG", "size": 6, "moves": 5, "solution": ["C^1", "D<3", "Bv1", "Bv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooAAooBooooCBooooCDDEEFFFoooooGG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D<3,Bv1,Bv1,A>4\n"]}} {"board": "oBBBoCAAoooCoooooCooDoooEoDFFFEoDooo", "size": 6, "moves": 5, "solution": ["A>3", "D^2", "F<1", "Cv2", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBoCAAoooCoooooCooDoooEoDFFFEoDooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>3,D^2,F<1,Cv2,A>1\n"]}} {"board": "BoAACDBoEoCDBoEoFFGHooooGHooooIIoooo", "size": 6, "moves": 5, "solution": ["Ev2", "E<2", "Cv1", "Cv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoAACDBoEoCDBoEoFFGHooooGHooooIIoooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv2,E<2,Cv1,Cv1,A>2\n"]}} {"board": "BoooooBooCCCBAAoDooEooDooEooDooEoFFF", "size": 6, "moves": 5, "solution": ["A>1", "E^1", "F<2", "Ev1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoooooBooCCCBAAoDooEooDooEooDooEoFFF\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,E^1,F<2,Ev1,A>2\n"]}} {"board": "oooBBBoAAoCDoEFFCDGEHooDGEHIIIGoHJJJ", "size": 6, "moves": 8, "solution": ["Cv1", "A>2", "Dv1", "D<2", "H^2", "I<1", "Dv1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBoAAoCDoEFFCDGEHooDGEHIIIGoHJJJ\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>2,Dv1,D<2,H^2,I<1,Dv1,A>1\n"]}} {"board": "ooooBooAAoBoooooBooCoDDDoCoooooCoooo", "size": 6, "moves": 5, "solution": ["A>1", "C^3", "D<2", "Cv2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBooAAoBoooooBooCoDDDoCoooooCoooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,C^3,D<2,Cv2,A>2\n"]}} {"board": "oooooooooBBBoAAooCDooEoCDooEoCDooEFF", "size": 6, "moves": 5, "solution": ["E^1", "F<3", "Cv1", "Cv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBBBoAAooCDooEoCDooEoCDooEFF\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,F<3,Cv1,Cv1,A>3\n"]}} {"board": "BoooooBooCCCBoDEooAADEoooooEoooooooo", "size": 6, "moves": 6, "solution": ["Dv2", "A>1", "Bv2", "B<3", "D^2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoooooBooCCCBoDEooAADEoooooEoooooooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv2,A>1,Bv2,B<3,D^2,A>3\n"]}} {"board": "oooooBoooooBooAAoBCCDoEEooDFFFooDooo", "size": 6, "moves": 6, "solution": ["A>1", "D^2", "E<1", "F<1", "Bv3", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoooooBooAAoBCCDoEEooDFFFooDooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,D^2,E<1,F<1,Bv3,A>1\n"]}} {"board": "oBCCCDEBFFFDEoGHooEoGHIoooGJIooAAJIo", "size": 6, "moves": 7, "solution": ["Bv2", "Dv1", "D<2", "H^1", "I^1", "J^1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBCCCDEBFFFDEoGHooEoGHIoooGJIooAAJIo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,Dv1,D<2,H^1,I^1,J^1,A>3\n"]}} {"board": "BooCCCBooDDDBoEEEFGAAoHFGIIIHFooJJJo", "size": 6, "moves": 6, "solution": ["C<1", "D<1", "F^2", "J<1", "Hv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BooCCCBooDDDBoEEEFGAAoHFGIIIHFooJJJo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,D<1,F^2,J<1,Hv1,A>3\n"]}} {"board": "ooBoooooBCCCooBooooAAooDoooooDoooooD", "size": 6, "moves": 5, "solution": ["A>2", "Bv2", "B<1", "D^3", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoooooBCCCooBooooAAooDoooooDoooooD\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,Bv2,B<1,D^3,A>1\n"]}} {"board": "oBoCCCoBoooooDoooooDAAEFooooEFoGGoEF", "size": 6, "moves": 6, "solution": ["Dv1", "Bv1", "B<2", "E^3", "F^3", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoCCCoBoooooDoooooDAAEFooooEFoGGoEF\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,Bv1,B<2,E^3,F^3,A>2\n"]}} {"board": "oBoCCCoBDEEEFBDoooFGAAoHFGooIHoGJJIH", "size": 6, "moves": 6, "solution": ["C<1", "A>1", "Dv1", "D<1", "H^3", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoCCCoBDEEEFBDoooFGAAoHFGooIHoGJJIH\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,A>1,Dv1,D<1,H^3,A>1\n"]}} {"board": "oooBoCoAABDCoEEBDFGHHHDFGoIIIoGJJoKK", "size": 6, "moves": 9, "solution": ["G^3", "H<1", "I<2", "Cv2", "Dv1", "K<1", "Gv2", "Cv2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoCoAABDCoEEBDFGHHHDFGoIIIoGJJoKK\nOptimal length (moves): 9\nReturn only the and blocks.", "\nShortest path found.\n\n\nG^3,H<1,I<2,Cv2,Dv1,K<1,Gv2,Cv2,A>3\n"]}} {"board": "oooBBBoooCoDAAoCEDoFFCEDoGGGEoooooHH", "size": 6, "moves": 6, "solution": ["G<1", "H<3", "Cv2", "Cv2", "Cv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBoooCoDAAoCEDoFFCEDoGGGEoooooHH\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,H<3,Cv2,Cv2,Cv1,A>4\n"]}} {"board": "ooBBBCoooooCDEEEFCDooGFooAAGFooooGHH", "size": 6, "moves": 5, "solution": ["D^2", "E<1", "F^1", "G^2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBCoooooCDEEEFCDooGFooAAGFooooGHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,E<1,F^1,G^2,A>3\n"]}} {"board": "oooBBBCCCoDoooAADEooooDEooooFFoooGGo", "size": 6, "moves": 5, "solution": ["F<2", "Ev1", "G<1", "Dv2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBCCCoDoooAADEooooDEooooFFoooGGo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<2,Ev1,G<1,Dv2,A>2\n"]}} {"board": "AABoCoooBDCEooBDoEFGGGoEFoHHIoFoooIo", "size": 6, "moves": 9, "solution": ["Cv1", "E^1", "G>2", "Bv1", "A>3", "C^1", "G<1", "Cv1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AABoCoooBDCEooBDoEFGGGoEFoHHIoFoooIo\nOptimal length (moves): 9\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,E^1,G>2,Bv1,A>3,C^1,G<1,Cv1,A>1\n"]}} {"board": "BBBCCCooooDooAAoDoooEoDFooEGGFHHHooo", "size": 6, "moves": 6, "solution": ["A<1", "E^1", "G<3", "Dv2", "Dv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBCCCooooDooAAoDoooEoDFooEGGFHHHooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<1,E^1,G<3,Dv2,Dv1,A>4\n"]}} {"board": "oBAAoCoBoooCoBDDoCoEFGGGHEFIJJHEFIKK", "size": 6, "moves": 6, "solution": ["A>1", "D>1", "F^3", "G<1", "Dv1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBAAoCoBoooCoBDDoCoEFGGGHEFIJJHEFIKK\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,D>1,F^3,G<1,Dv1,A>1\n"]}} {"board": "oooBoCAAoBoCoooBooooDDEEoooooooooooo", "size": 6, "moves": 6, "solution": ["D<1", "E<1", "Cv4", "D>1", "Bv2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoCAAoBoCoooBooooDDEEoooooooooooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,E<1,Cv4,D>1,Bv2,A>4\n"]}} {"board": "oooBoCoAABoCDDoEECFoGoHHFoGoooFooooo", "size": 6, "moves": 6, "solution": ["Gv1", "G<3", "Cv3", "D>1", "Bv2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoCoAABoCDDoEECFoGoHHFoGoooFooooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nGv1,G<3,Cv3,D>1,Bv2,A>3\n"]}} {"board": "BooCCCBoooooooooooAADooEFoDGoEFoDGoE", "size": 6, "moves": 6, "solution": ["D^3", "A>3", "Cv1", "C<1", "E^3", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BooCCCBoooooooooooAADooEFoDGoEFoDGoE\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^3,A>3,Cv1,C<1,E^3,A>1\n"]}} {"board": "oBCCCDoBoAADoBEooDFoEGGGFHHIIIFJJJKK", "size": 6, "moves": 7, "solution": ["E^1", "F^2", "G<1", "H<1", "I<1", "Dv2", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBCCCDoBoAADoBEooDFoEGGGFHHIIIFJJJKK\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,F^2,G<1,H<1,I<1,Dv2,A>1\n"]}} {"board": "BBBooCAAoooCoooooCDEEEFFDoooGGDooooo", "size": 6, "moves": 8, "solution": ["B>1", "A>1", "D^3", "E<1", "F<1", "G<1", "Dv2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBooCAAoooCoooooCDEEEFFDoooGGDooooo\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nB>1,A>1,D^3,E<1,F<1,G<1,Dv2,A>3\n"]}} {"board": "oooooooBoCCCDBEEEoDFFFGHDoooGHAAooGH", "size": 6, "moves": 5, "solution": ["B^1", "E<1", "G^1", "H^1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooBoCCCDBEEEoDFFFGHDoooGHAAooGH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,E<1,G^1,H^1,A>4\n"]}} {"board": "oooooooooooooBBBooooCDoEAACDoEoooooE", "size": 6, "moves": 6, "solution": ["B>2", "C^3", "C<3", "D^1", "E^2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooooBBBooooCDoEAACDoEoooooE\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nB>2,C^3,C<3,D^1,E^2,A>4\n"]}} {"board": "oBCDDDoBCEoFGBCEoFGHAAoFGHooIIoHooJJ", "size": 6, "moves": 5, "solution": ["A>1", "Cv1", "C<1", "F^1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBCDDDoBCEoFGBCEoFGHAAoFGHooIIoHooJJ\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,Cv1,C<1,F^1,A>1\n"]}} {"board": "ooBooCAABoDCoEEoDCFFooooooGGooHHHIIo", "size": 6, "moves": 5, "solution": ["Cv2", "Cv1", "C<1", "Bv2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBooCAABoDCoEEoDCFFooooooGGooHHHIIo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,Cv1,C<1,Bv2,A>4\n"]}} {"board": "ooBCCCDEBoooDEoFFFooooGHAAooGHIIJJGH", "size": 6, "moves": 5, "solution": ["E^1", "F<2", "G^2", "H^2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBCCCDEBoooDEoFFFooooGHAAooGHIIJJGH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,F<2,G^2,H^2,A>4\n"]}} {"board": "ooooBCoAAoBCoDEooooDEFFoGoooooGHHIII", "size": 6, "moves": 7, "solution": ["Cv2", "G^1", "H<1", "Dv2", "F<1", "Bv2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBCoAAoBCoDEooooDEFFoGoooooGHHIII\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,G^1,H<1,Dv2,F<1,Bv2,A>3\n"]}} {"board": "AAoBoooCDBoooCDEEEoCDoFGooooFGooooFG", "size": 6, "moves": 5, "solution": ["Cv2", "Cv2", "C<3", "Bv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoBoooCDBoooCDEEEoCDoFGooooFGooooFG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,Cv2,C<3,Bv1,A>4\n"]}} {"board": "ooooooooooooAAoooBCooDoBCooDoBoooDEE", "size": 6, "moves": 5, "solution": ["D^1", "E<3", "Bv1", "Bv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooooAAoooBCooDoBCooDoBoooDEE\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E<3,Bv1,Bv1,A>4\n"]}} {"board": "ooBoCoAABoCoooDDooooooEEooooooooFFFo", "size": 6, "moves": 5, "solution": ["D<2", "E<4", "Bv2", "Bv2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoCoAABoCoooDDooooooEEooooooooFFFo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<2,E<4,Bv2,Bv2,A>4\n"]}} {"board": "oooBBBoooooooooCCCDooEEEDooFGoDAAFGo", "size": 6, "moves": 5, "solution": ["D^3", "E<3", "F^1", "G^1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBoooooooooCCCDooEEEDooFGoDAAFGo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^3,E<3,F^1,G^1,A>3\n"]}} {"board": "BooCCCBooDoEoAADFEoooDFooooGGGoHHHoo", "size": 6, "moves": 6, "solution": ["G<3", "Ev2", "Ev1", "H<1", "Dv2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BooCCCBooDoEoAADFEoooDFooooGGGoHHHoo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<3,Ev2,Ev1,H<1,Dv2,A>3\n"]}} {"board": "oAABCDoooBCDoooEFFooGEoHIoGooHIoGJJH", "size": 6, "moves": 6, "solution": ["Ev1", "E<3", "Bv1", "Bv1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAABCDoooBCDoooEFFooGEoHIoGooHIoGJJH\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,E<3,Bv1,Bv1,Bv1,A>3\n"]}} {"board": "oooBBBoooCCCAADooooEDoFFoEDooGoEHHHG", "size": 6, "moves": 5, "solution": ["F<1", "G^1", "H>1", "Dv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBoooCCCAADooooEDoFFoEDooGoEHHHG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,G^1,H>1,Dv1,A>4\n"]}} {"board": "oooBBBoCCCoDoEEEoDAAFooooGFoHHoGFIII", "size": 6, "moves": 8, "solution": ["H<1", "Dv2", "C>2", "D>2", "E^3", "I<1", "Fv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBoCCCoDoEEEoDAAFooooGFoHHoGFIII\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nH<1,Dv2,C>2,D>2,E^3,I<1,Fv1,A>4\n"]}} {"board": "AAoBoCooDBoCEFDBooEFoGGGEoooooHHoIIo", "size": 6, "moves": 7, "solution": ["A>1", "Cv1", "E^2", "F^1", "G<3", "Cv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoBoCooDBoCEFDBooEFoGGGEoooooHHoIIo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,Cv1,E^2,F^1,G<3,Cv1,A>3\n"]}} {"board": "ooooBoooooBoooAABooCooooDCEFFoDoEooo", "size": 6, "moves": 5, "solution": ["A<2", "E^4", "F<1", "Cv3", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoooooBoooAABooCooooDCEFFoDoEooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<2,E^4,F<1,Cv3,A>4\n"]}} {"board": "oooAABoCCooBDDEooBFGEHHHFGEooIFoJJJI", "size": 6, "moves": 5, "solution": ["C<1", "E^2", "H<1", "Cv1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooAABoCCooBDDEooBFGEHHHFGEooIFoJJJI\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,E^2,H<1,Cv1,A>1\n"]}} {"board": "ooooBoooooBoCAAoBoCoooDDCoEoFFooEooo", "size": 6, "moves": 7, "solution": ["Cv1", "A<1", "E^4", "E<2", "F<2", "Cv3", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoooooBoCAAoBoCoooDDCoEoFFooEooo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A<1,E^4,E<2,F<2,Cv3,A>4\n"]}} {"board": "BAAoCoBDDoCooEEoCooFoGHHoFoGIJoKKGIJ", "size": 6, "moves": 7, "solution": ["G^3", "K>1", "Gv1", "G<3", "Cv1", "Cv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BAAoCoBDDoCooEEoCooFoGHHoFoGIJoKKGIJ\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nG^3,K>1,Gv1,G<3,Cv1,Cv1,A>3\n"]}} {"board": "ooAAoBCCCooBoooooBoDEEFFoDoooGoDoooG", "size": 6, "moves": 6, "solution": ["C>2", "D^3", "E<1", "F<1", "Cv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAAoBCCCooBoooooBoDEEFFoDoooGoDoooG\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nC>2,D^3,E<1,F<1,Cv1,A>2\n"]}} {"board": "ooooBooAAoBoooooCCooDDEEooFooGooFooG", "size": 6, "moves": 5, "solution": ["C<2", "D<2", "E<2", "Bv2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBooAAoBoooooCCooDDEEooFooGooFooG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,D<2,E<2,Bv2,A>3\n"]}} {"board": "ooooooAABoooCoBDDDCEFFGooEooGooooHHH", "size": 6, "moves": 5, "solution": ["Cv2", "Dv1", "D<2", "Bv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooAABoooCoBDDDCEFFGooEooGooooHHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,Dv1,D<2,Bv1,A>4\n"]}} {"board": "BBBooooAAooCoDDEECFGoooCFGHIIIFGHooo", "size": 6, "moves": 5, "solution": ["D<1", "H^2", "I<1", "Cv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBooooAAooCoDDEECFGoooCFGHIIIFGHooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,H^2,I<1,Cv1,A>3\n"]}} {"board": "BoCCCoBDoooooDEEEoAAooFoGoHHFoGoooFo", "size": 6, "moves": 6, "solution": ["C<1", "A>2", "Dv2", "D<1", "F^3", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoCCCoBDoooooDEEEoAAooFoGoHHFoGoooFo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,A>2,Dv2,D<1,F^3,A>2\n"]}} {"board": "oooooooAABCDoooBCDoooEoooooEooooFFoo", "size": 6, "moves": 6, "solution": ["Cv1", "Cv1", "F<1", "Ev1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooAABCDoooBCDoooEoooooEooooFFoo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Cv1,F<1,Ev1,Bv1,A>3\n"]}} {"board": "BooCCCBDDDooBEEEooAAoFGHoIJFGHoIJFoH", "size": 6, "moves": 9, "solution": ["A>1", "Bv3", "B<3", "C<1", "D<1", "F^3", "G^2", "H^3", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BooCCCBDDDooBEEEooAAoFGHoIJFGHoIJFoH\nOptimal length (moves): 9\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,Bv3,B<3,C<1,D<1,F^3,G^2,H^3,A>3\n"]}} {"board": "AAoBooCDoBEECDFGGGHHFoooIJJJooIoooKK", "size": 6, "moves": 9, "solution": ["A>1", "C^1", "J>2", "Fv2", "G>2", "Dv2", "E<3", "Cv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoBooCDoBEECDFGGGHHFoooIJJJooIoooKK\nOptimal length (moves): 9\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,C^1,J>2,Fv2,G>2,Dv2,E<3,Cv1,A>3\n"]}} {"board": "oooBBBoooCCCoooDDDEoAAFoEGooFoEGooFo", "size": 6, "moves": 5, "solution": ["B<2", "C<2", "D<2", "F^3", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBoooCCCoooDDDEoAAFoEGooFoEGooFo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,C<2,D<2,F^3,A>2\n"]}} {"board": "BAACooBooCooDDDEEFGoHHoFGIIoJJGooKKK", "size": 6, "moves": 5, "solution": ["J<1", "Fv1", "E>1", "Cv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BAACooBooCooDDDEEFGoHHoFGIIoJJGooKKK\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nJ<1,Fv1,E>1,Cv1,A>3\n"]}} {"board": "BoCCCoBDEFFFBDEooGoDEooGoHAAoGoHIIIo", "size": 6, "moves": 5, "solution": ["A>1", "Ev1", "E<1", "G^1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoCCCoBDEFFFBDEooGoDEooGoHAAoGoHIIIo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,Ev1,E<1,G^1,A>1\n"]}} {"board": "BBBooCoAAoDCoooEDoFFoEGGoooooHooIIoH", "size": 6, "moves": 6, "solution": ["I<1", "Ev2", "F<2", "Cv2", "Cv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBooCoAAoDCoooEDoFFoEGGoooooHooIIoH\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nI<1,Ev2,F<2,Cv2,Cv1,A>3\n"]}} {"board": "BooooCBDDDoCAAEFoCoGEFHHIGEJJoIGoKKK", "size": 6, "moves": 11, "solution": ["Ev1", "A>1", "Bv2", "C<1", "E^2", "A>2", "G^1", "H<1", "K<1", "Cv3", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BooooCBDDDoCAAEFoCoGEFHHIGEJJoIGoKKK\nOptimal length (moves): 11\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,A>1,Bv2,C<1,E^2,A>2,G^1,H<1,K<1,Cv3,A>1\n"]}} {"board": "BoAACDBEEECDFooGCDFHoGIIFHoJJooHKKKo", "size": 6, "moves": 8, "solution": ["H^1", "J>1", "K<2", "Hv2", "H<2", "Cv1", "Cv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoAACDBEEECDFooGCDFHoGIIFHoJJooHKKKo\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nH^1,J>1,K<2,Hv2,H<2,Cv1,Cv1,A>2\n"]}} {"board": "oooBBBooAACoDoooCoDoEoCoooEFFoooEGGo", "size": 6, "moves": 6, "solution": ["A<2", "E^2", "F<3", "Cv1", "Cv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBooAACoDoooCoDoEoCoooEFFoooEGGo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<2,E^2,F<3,Cv1,Cv1,A>4\n"]}} {"board": "oBoCoDoBoCoDAAoCEDooooEoFoooGGFooHHH", "size": 6, "moves": 7, "solution": ["E^2", "F^1", "G<3", "H<3", "Cv3", "Dv3", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoCoDoBoCoDAAoCEDooooEoFoooGGFooHHH\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^2,F^1,G<3,H<3,Cv3,Dv3,A>4\n"]}} {"board": "oooBBBoCDooooCDEEEooDooFGAAooFGoHHoo", "size": 6, "moves": 6, "solution": ["A>2", "H>1", "Dv2", "D<1", "F^1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBoCDooooCDEEEooDooFGAAooFGoHHoo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,H>1,Dv2,D<1,F^1,A>1\n"]}} {"board": "oBBBooCCCoDEoFFFDEGooHDIGooHoIGAAHoI", "size": 6, "moves": 5, "solution": ["E^1", "F<1", "H^1", "I^1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBooCCCoDEoFFFDEGooHDIGooHoIGAAHoI\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,F<1,H^1,I^1,A>3\n"]}} {"board": "AAoBoCoooBoCoooBooDooEEEDoooooDooFFo", "size": 6, "moves": 6, "solution": ["A>1", "Cv1", "D^3", "E<3", "Cv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoBoCoooBoCoooBooDooEEEDoooooDooFFo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,Cv1,D^3,E<3,Cv1,A>3\n"]}} {"board": "ooBCCCooBDoooooDooEEEDFGHooIFGHAAIFo", "size": 6, "moves": 6, "solution": ["Bv1", "B<3", "D^1", "F^1", "I^1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBCCCooBDoooooDooEEEDFGHooIFGHAAIFo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,B<3,D^1,F^1,I^1,A>3\n"]}} {"board": "oooBooAAoBCDEEoBCDooFFFDoGGGHoooooHo", "size": 6, "moves": 6, "solution": ["Dv1", "F<2", "Cv1", "G<1", "Bv2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBooAAoBCDEEoBCDooFFFDoGGGHoooooHo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,F<2,Cv1,G<1,Bv2,A>4\n"]}} {"board": "ooAAoBoCDooBoCDEEEoooFFGHHIIoGoooooG", "size": 6, "moves": 5, "solution": ["A>1", "D^1", "E<1", "Cv1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAAoBoCDooBoCDEEEoooFFGHHIIoGoooooG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,D^1,E<1,Cv1,A>1\n"]}} {"board": "BBBooCAADooCooDoECFoGoEoFHGoooFHIIJJ", "size": 6, "moves": 7, "solution": ["Cv2", "F^1", "H^1", "I<2", "Hv1", "Cv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBooCAADooCooDoECFoGoEoFHGoooFHIIJJ\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,F^1,H^1,I<2,Hv1,Cv1,A>4\n"]}} {"board": "ooBBBooooooooooCDoAAECDoooEoFFooEooo", "size": 6, "moves": 5, "solution": ["B>1", "C^1", "D^1", "E^3", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBooooooooooCDoAAECDoooEoFFooEooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB>1,C^1,D^1,E^3,A>4\n"]}} {"board": "oBBBoooCoAADoCEooDooEFFFGGEHHHoooIII", "size": 6, "moves": 5, "solution": ["B>2", "E^2", "F<1", "Ev1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBoooCoAADoCEooDooEFFFGGEHHHoooIII\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB>2,E^2,F<1,Ev1,A>1\n"]}} {"board": "oBBBooAAoCDooooCDoEFFCoGEHHHIGEJJJIo", "size": 6, "moves": 6, "solution": ["A>1", "Dv1", "E^2", "H<1", "Dv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBooAAoCDooooCDoEFFCoGEHHHIGEJJJIo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,Dv1,E^2,H<1,Dv1,A>3\n"]}} {"board": "ooBCCCAABoDEooBoDEFFoGoEoHHGooooooII", "size": 6, "moves": 5, "solution": ["Dv1", "Dv1", "H<1", "Bv2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBCCCAABoDEooBoDEFFoGoEoHHGooooooII\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,Dv1,H<1,Bv2,A>4\n"]}} {"board": "oBoooCoBoAACooDDDCEFFGGGEHHIIIEoJJKK", "size": 6, "moves": 7, "solution": ["E^3", "F<1", "G<1", "H<1", "I<1", "Dv2", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoooCoBoAACooDDDCEFFGGGEHHIIIEoJJKK\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^3,F<1,G<1,H<1,I<1,Dv2,A>1\n"]}} {"board": "ooBBBooCCCooooDDDEFoAAGEFHIoGEFHIoGo", "size": 6, "moves": 5, "solution": ["B<1", "D<1", "E^2", "G^3", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBooCCCooooDDDEFoAAGEFHIoGEFHIoGo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,D<1,E^2,G^3,A>2\n"]}} {"board": "AAoooBoooCoBDDoCEEoooFFooooGGGoooHHH", "size": 6, "moves": 6, "solution": ["F<2", "G<3", "Cv2", "D<1", "Bv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoooBoooCoBDDoCEEoooFFooooGGGoooHHH\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<2,G<3,Cv2,D<1,Bv1,A>4\n"]}} {"board": "oooBBBAAoooCDooEoCDooEFFDGGooooHHHoo", "size": 6, "moves": 5, "solution": ["E^1", "F<3", "Cv1", "Cv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBAAoooCDooEoCDooEFFDGGooooHHHoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,F<3,Cv1,Cv1,A>4\n"]}} {"board": "oBoooCDBoAACDEEEoCDooFFFoGGGHHIIoJJJ", "size": 6, "moves": 5, "solution": ["F<1", "G<1", "H<1", "Cv2", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoooCDBoAACDEEEoCDooFFFoGGGHHIIoJJJ\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,G<1,H<1,Cv2,A>1\n"]}} {"board": "BoCCCoBoDEEEooDFFFoAAGHooooGHooooGHo", "size": 6, "moves": 9, "solution": ["Bv4", "B<2", "A<1", "Cv3", "C<3", "D<3", "E^3", "F^3", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoCCCoBoDEEEooDFFFoAAGHooooGHooooGHo\nOptimal length (moves): 9\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv4,B<2,A<1,Cv3,C<3,D<3,E^3,F^3,A>4\n"]}} {"board": "oAABoooooBoCDEEFFCDGGGHHIIJoooKKJoLL", "size": 6, "moves": 7, "solution": ["D^1", "G<1", "H<1", "Dv2", "E>1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAABoooooBoCDEEFFCDGGGHHIIJoooKKJoLL\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,G<1,H<1,Dv2,E>1,Bv1,A>3\n"]}} {"board": "AABooCDDBooCooBooCEEEooooooooFoooooF", "size": 6, "moves": 7, "solution": ["E>3", "Bv1", "A>3", "D^1", "E<1", "Cv1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AABooCDDBooCooBooCEEEooooooooFoooooF\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nE>3,Bv1,A>3,D^1,E<1,Cv1,A>1\n"]}} {"board": "oooooooooooooooooooBBBooooCDooAACDoo", "size": 6, "moves": 5, "solution": ["B<1", "D^3", "C>3", "D^1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooooooooooBBBooooCDooAACDoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,D^3,C>3,D^1,A>4\n"]}} {"board": "oAABCDoooBCDoEoFFDGEooHHGEIIIoGooJJJ", "size": 6, "moves": 7, "solution": ["Ev1", "E<2", "Bv1", "Bv1", "H<1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAABCDoooBCDoEoFFDGEooHHGEIIIoGooJJJ\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,E<2,Bv1,Bv1,H<1,Bv1,A>3\n"]}} {"board": "BBBoCDAAooCDooEooDooEFFoooEooooooGGG", "size": 6, "moves": 8, "solution": ["Cv1", "Cv2", "B>3", "D^2", "F<3", "Bv2", "Cv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBoCDAAooCDooEooDooEFFoooEooooooGGG\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Cv2,B>3,D^2,F<3,Bv2,Cv1,A>4\n"]}} {"board": "oooooBoCCCDBAAoEDoooFEDoooFoGGooHHHo", "size": 6, "moves": 7, "solution": ["F^1", "G<4", "Ev1", "Ev1", "H<1", "Dv2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoCCCDBAAoEDoooFEDoooFoGGooHHHo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,G<4,Ev1,Ev1,H<1,Dv2,A>4\n"]}} {"board": "oooooBCAAooBCoooooooDEEEooDoooFFDooo", "size": 6, "moves": 5, "solution": ["A>2", "D^3", "E<1", "Cv2", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBCAAooBCoooooooDEEEooDoooFFDooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,D^3,E<1,Cv2,A>1\n"]}} {"board": "BooAACBoDEoCBoDEFFGHDIIIGHoJJoKKKoLL", "size": 6, "moves": 10, "solution": ["D^1", "H^2", "J<2", "K>1", "Hv1", "H<3", "Fv2", "F<1", "Dv1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BooAACBoDEoCBoDEFFGHDIIIGHoJJoKKKoLL\nOptimal length (moves): 10\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,H^2,J<2,K>1,Hv1,H<3,Fv2,F<1,Dv1,A>1\n"]}} {"board": "oooAABCCDDDBoooEEFGGoHIFJJJHIFKKoHLL", "size": 6, "moves": 6, "solution": ["E<2", "H^1", "L<1", "Gv1", "Bv1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooAABCCDDDBoooEEFGGoHIFJJJHIFKKoHLL\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<2,H^1,L<1,Gv1,Bv1,A>1\n"]}} {"board": "oooBBBooooCoooooCoooooDoooAADEooFFFE", "size": 6, "moves": 5, "solution": ["B<2", "C^1", "D^1", "E^2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBooooCoooooCoooooDoooAADEooFFFE\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,C^1,D^1,E^2,A>2\n"]}} {"board": "oooBoCAAoBDCoooBDCooooDoooEEEooooooo", "size": 6, "moves": 5, "solution": ["Cv2", "E<2", "Bv2", "Bv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoCAAoBDCoooBDCooooDoooEEEooooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,E<2,Bv2,Bv1,A>4\n"]}} {"board": "oooBBBooCDDDooCEEEAACFGoHHHFGooooIIo", "size": 6, "moves": 5, "solution": ["C^1", "I<2", "Fv1", "Fv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBooCDDDooCEEEAACFGoHHHFGooooIIo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,I<2,Fv1,Fv1,A>4\n"]}} {"board": "oooooooooooooAAooBCDDooBCooooBCEEEFF", "size": 6, "moves": 5, "solution": ["C^1", "E<1", "F<1", "Cv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooooAAooBCDDooBCooooBCEEEFF\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,E<1,F<1,Cv1,A>3\n"]}} {"board": "BoAACDBEoFCDoEoFCDoGoHHHIGJJoKIooooK", "size": 6, "moves": 5, "solution": ["Gv1", "G<2", "Cv1", "Cv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoAACDBEoFCDoEoFCDoGoHHHIGJJoKIooooK\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nGv1,G<2,Cv1,Cv1,A>2\n"]}} {"board": "oAABCoDoEBCoDoEoFFDGEooooGooHHoGoIII", "size": 6, "moves": 5, "solution": ["Bv3", "Dv2", "D<2", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAABCoDoEBCoDoEoFFDGEooooGooHHoGoIII\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv3,Dv2,D<2,Bv1,A>3\n"]}} {"board": "AABooCDDBEECFGBooCFGoHHHIoooJJIoKKKo", "size": 6, "moves": 6, "solution": ["Bv1", "A>3", "D^1", "H<1", "Cv1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AABooCDDBEECFGBooCFGoHHHIoooJJIoKKKo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3,D^1,H<1,Cv1,A>1\n"]}} {"board": "oooooooooooooBCCCooBooDooBooDoAAooDo", "size": 6, "moves": 5, "solution": ["A>2", "Bv1", "B<1", "D^1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooooBCCCooBooDooBooDoAAooDo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,Bv1,B<1,D^1,A>2\n"]}} {"board": "BoCCCoBDooEoFDooEoFAAGEoFHoGoooHoGII", "size": 6, "moves": 6, "solution": ["Fv1", "Bv1", "B<2", "E^1", "G^3", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoCCCoBDooEoFDooEoFAAGEoFHoGoooHoGII\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nFv1,Bv1,B<2,E^1,G^3,A>3\n"]}} {"board": "BoCCCoBDDDEFoAAGEFoooGHFoIJJHooIooHo", "size": 6, "moves": 7, "solution": ["Bv2", "B<2", "C<1", "D^1", "Ev2", "F^2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoCCCoBDDDEFoAAGEFoooGHFoIJJHooIooHo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,B<2,C<1,D^1,Ev2,F^2,A>3\n"]}} {"board": "oooBBBooooCooAAoCooDooCEoDoooEoDoFFF", "size": 6, "moves": 5, "solution": ["A>1", "D^1", "F<2", "Cv2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBooooCooAAoCooDooCEoDoooEoDoFFF\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,D^1,F<2,Cv2,A>2\n"]}} {"board": "oooooooBBBCoooAACoDDDoCoooEEFFooooGG", "size": 6, "moves": 5, "solution": ["E<2", "F<2", "G<2", "Cv2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooBBBCoooAACoDDDoCoooEEFFooooGG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<2,F<2,G<2,Cv2,A>2\n"]}} {"board": "oooBBBooCCCoooooDooAAoDEooooDEoooooE", "size": 6, "moves": 5, "solution": ["B<2", "C<1", "D^2", "E^3", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBooCCCoooooDooAAoDEooooDEoooooE\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,C<1,D^2,E^3,A>3\n"]}} {"board": "ooBBBooCCCoDEAAFoDEoGFHHEoGIIIJJGKKo", "size": 6, "moves": 5, "solution": ["B<2", "C<1", "D^1", "F^2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBooCCCoDEAAFoDEoGFHHEoGIIIJJGKKo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,C<1,D^1,F^2,A>3\n"]}} {"board": "ooBoooooBCCCAABoooDooEFFDGGEooDooHHH", "size": 6, "moves": 5, "solution": ["E^1", "G>3", "Bv3", "Cv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoooooBCCCAABoooDooEFFDGGEooDooHHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,G>3,Bv3,Cv1,A>4\n"]}} {"board": "oAABoCDDDBoCoooEFFGHIEJJGHIoKKGHIooo", "size": 6, "moves": 5, "solution": ["Ev1", "E<3", "Bv1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAABoCDDDBoCoooEFFGHIEJJGHIoKKGHIooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,E<3,Bv1,Bv1,A>3\n"]}} {"board": "ooAABooCCoBooooDBooEoDFooEooFooEoGGG", "size": 6, "moves": 5, "solution": ["E^1", "G<2", "Fv1", "Bv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAABooCCoBooooDBooEoDFooEooFooEoGGG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,G<2,Fv1,Bv1,A>2\n"]}} {"board": "oooooooBoooooBoCCCoAAoDEFFGGDEooooDo", "size": 6, "moves": 5, "solution": ["B^1", "C<2", "D^3", "E^2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooBoooooBoCCCoAAoDEFFGGDEooooDo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,C<2,D^3,E^2,A>3\n"]}} {"board": "BCCCooBooDDDBAAooEFGHHHEFGoIoEoGoIJJ", "size": 6, "moves": 9, "solution": ["C>1", "A>1", "Fv1", "F^3", "G<2", "I^1", "J<1", "Fv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BCCCooBooDDDBAAooEFGHHHEFGoIoEoGoIJJ\nOptimal length (moves): 9\nReturn only the and blocks.", "\nShortest path found.\n\n\nC>1,A>1,Fv1,F^3,G<2,I^1,J<1,Fv1,A>2\n"]}} {"board": "ooooBooAACBoDooCBoDEEoooooFGGGooFooo", "size": 6, "moves": 7, "solution": ["Cv1", "C^1", "E<1", "F^2", "G<2", "Bv2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBooAACBoDooCBoDEEoooooFGGGooFooo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,C^1,E<1,F^2,G<2,Bv2,A>3\n"]}} {"board": "ooBCCCooBoDEooBoDEAAoooEFGooooFGoHHH", "size": 6, "moves": 5, "solution": ["A>3", "Bv1", "B<1", "E^1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBCCCooBoDEooBoDEAAoooEFGooooFGoHHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>3,Bv1,B<1,E^1,A>1\n"]}} {"board": "ooAABoCoDoBoCoDEFFoGoEoooGoHHHoGIIIo", "size": 6, "moves": 7, "solution": ["A<1", "Dv2", "D^2", "E<3", "Bv1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAABoCoDoBoCoDEFFoGoEoooGoHHHoGIIIo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<1,Dv2,D^2,E<3,Bv1,Bv1,A>3\n"]}} {"board": "AAoBCooDDBCoEooFFFEoGGoooHHoIoooJJIo", "size": 6, "moves": 5, "solution": ["Ev1", "E<3", "Bv1", "Bv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoBCooDDBCoEooFFFEoGGoooHHoIoooJJIo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,E<3,Bv1,Bv1,A>4\n"]}} {"board": "AAooBoooCCBoDDEoBFGoEHIFGoEHIFGooHJJ", "size": 6, "moves": 5, "solution": ["H^1", "J<2", "Iv1", "Bv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAooBoooCCBoDDEoBFGoEHIFGoEHIFGooHJJ\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nH^1,J<2,Iv1,Bv1,A>4\n"]}} {"board": "ooBoooooBCCCoooooDooAAoDooEEoDoFFooo", "size": 6, "moves": 5, "solution": ["A>1", "Bv2", "B<1", "D^2", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoooooBCCCoooooDooAAoDooEEoDoFFooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,Bv2,B<1,D^2,A>1\n"]}} {"board": "BCooDoBCooDoooAADoEFGGooEFooHHEFIIIo", "size": 6, "moves": 5, "solution": ["F^1", "H<2", "I<1", "Dv3", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BCooDoBCooDoooAADoEFGGooEFooHHEFIIIo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,H<2,I<1,Dv3,A>2\n"]}} {"board": "ooooooAAooBoCoooBoCDoEEECDoFFooDoooo", "size": 6, "moves": 5, "solution": ["A>2", "D^3", "E<2", "Cv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooAAooBoCoooBoCDoEEECDoFFooDoooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,D^3,E<2,Cv1,A>2\n"]}} {"board": "BAACoDBEFCoDoEFooDoGFHHHoGoIIJoGKKoJ", "size": 6, "moves": 6, "solution": ["Cv1", "A>2", "E^1", "H<1", "Dv1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BAACoDBEFCoDoEFooDoGFHHHoGoIIJoGKKoJ\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>2,E^1,H<1,Dv1,A>1\n"]}} {"board": "AABoCoooBoCoDEEFooDGoFHIDGJJHIoGoKKK", "size": 6, "moves": 5, "solution": ["Cv1", "Dv1", "D<1", "Bv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AABoCoooBoCoDEEFooDGoFHIDGJJHIoGoKKK\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Dv1,D<1,Bv1,A>4\n"]}} {"board": "oooooBooAAoBooCDDDEECoFFooCGGooooooo", "size": 6, "moves": 5, "solution": ["Cv1", "C<1", "F<1", "Bv2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBooAAoBooCDDDEECoFFooCGGooooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,C<1,F<1,Bv2,A>2\n"]}} {"board": "ooooooooooooAAoBooCooBooCooBDDCooEEE", "size": 6, "moves": 5, "solution": ["A>1", "C^1", "E<3", "Cv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooooAAoBooCooBooCooBDDCooEEE\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,C^1,E<3,Cv1,A>3\n"]}} {"board": "AAoooBoCDooBoCDEEEoCDoFFoGooHHoGIIJJ", "size": 6, "moves": 8, "solution": ["A>2", "C^1", "G^1", "I<2", "Dv2", "D<1", "Cv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoooBoCDooBoCDEEEoCDoFFoGooHHoGIIJJ\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,C^1,G^1,I<2,Dv2,D<1,Cv1,A>2\n"]}} {"board": "BBBCoDoAACoDoooCoDooEEEooooFFFoGGooo", "size": 6, "moves": 5, "solution": ["E<2", "F<3", "Cv2", "Cv2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBCoDoAACoDoooCoDooEEEooooFFFoGGooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<2,F<3,Cv2,Cv2,A>3\n"]}} {"board": "AAoooBCCCooBDEEFFFDGGGoHDooooHoIIIoH", "size": 6, "moves": 5, "solution": ["Dv1", "D<1", "E<1", "Bv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoooBCCCooBDEEFFFDGGGoHDooooHoIIIoH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,D<1,E<1,Bv1,A>4\n"]}} {"board": "AAooBoooCoBoooCoBoooCoDDooEEEoFFoGGG", "size": 6, "moves": 5, "solution": ["C^1", "D<4", "Bv1", "Bv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAooBoooCoBoooCoBoooCoDDooEEEoFFoGGG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D<4,Bv1,Bv1,A>4\n"]}} {"board": "ooBBBoCoooDoCoAADooEFFDoGEHIIJGEHooJ", "size": 6, "moves": 12, "solution": ["B<1", "C^1", "D^1", "A<2", "F>1", "H^3", "G<1", "I<1", "Dv3", "C>2", "D^1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBoCoooDoCoAADooEFFDoGEHIIJGEHooJ\nOptimal length (moves): 12\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,C^1,D^1,A<2,F>1,H^3,G<1,I<1,Dv3,C>2,D^1,A>4\n"]}} {"board": "BooCCCBooDooAAoDooEEEFoooooFoooooooo", "size": 6, "moves": 5, "solution": ["A>1", "Bv1", "B<3", "D^1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BooCCCBooDooAAoDooEEEFoooooFoooooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,Bv1,B<3,D^1,A>3\n"]}} {"board": "oAABCooooBCoooDBEEFoDooGFHIIoGFHoooo", "size": 6, "moves": 8, "solution": ["F^2", "H^2", "I<2", "Bv3", "Ev1", "E<2", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAABCooooBCoooDBEEFoDooGFHIIoGFHoooo\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^2,H^2,I<2,Bv3,Ev1,E<2,Bv1,A>3\n"]}} {"board": "BooCCCBoDEEEBoDFFFooDooooAAooGoooooG", "size": 6, "moves": 5, "solution": ["A>2", "Dv2", "E<1", "G^2", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BooCCCBoDEEEBoDFFFooDooooAAooGoooooG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,Dv2,E<1,G^2,A>1\n"]}} {"board": "AABooCooBooCDooooCDoEEFFoGGooooooooo", "size": 6, "moves": 5, "solution": ["Bv1", "E<1", "F<1", "Bv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AABooCooBooCDooooCDoEEFFoGGooooooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,E<1,F<1,Bv1,A>4\n"]}} {"board": "oooBCooDEBCooDEBoooDEFFFAAooGHoIIoGH", "size": 6, "moves": 6, "solution": ["D^1", "E^1", "F<2", "G^2", "H^2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBCooDEBCooDEBoooDEFFFAAooGHoIIoGH\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E^1,F<2,G^2,H^2,A>4\n"]}} {"board": "oAAooBoooCDBoEECDFoGGGDFoooHIIoooHoo", "size": 6, "moves": 9, "solution": ["C^1", "G<1", "H^2", "I<3", "Fv1", "Bv1", "Fv1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAooBoooCDBoEECDFoGGGDFoooHIIoooHoo\nOptimal length (moves): 9\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,G<1,H^2,I<3,Fv1,Bv1,Fv1,Bv1,A>3\n"]}} {"board": "oooooooAAoBoooCoBoooCDDDooCEEooooFFF", "size": 6, "moves": 9, "solution": ["A<1", "C^2", "D<2", "E<3", "F<2", "Cv3", "C>2", "Bv2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooAAoBoooCoBoooCDDDooCEEooooFFF\nOptimal length (moves): 9\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<1,C^2,D<2,E<3,F<2,Cv3,C>2,Bv2,A>4\n"]}} {"board": "oooBBBoCDDDooCoEEEFCAAGoFoooGHFoooGH", "size": 6, "moves": 6, "solution": ["B<2", "Cv2", "C<1", "D<2", "G^3", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBoCDDDooCoEEEFCAAGoFoooGHFoooGH\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,Cv2,C<1,D<2,G^3,A>2\n"]}} {"board": "BBBooCDooAACDEFFGGHEIJJJHEIoKKHoIoLL", "size": 6, "moves": 11, "solution": ["B>1", "D^1", "Ev1", "E<2", "F<1", "Dv1", "C>2", "I^3", "J<1", "Ev1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBooCDooAACDEFFGGHEIJJJHEIoKKHoIoLL\nOptimal length (moves): 11\nReturn only the and blocks.", "\nShortest path found.\n\n\nB>1,D^1,Ev1,E<2,F<1,Dv1,C>2,I^3,J<1,Ev1,A>1\n"]}} {"board": "ooooooBoCCCoBooDDDAAoEooooFEooooFEoo", "size": 6, "moves": 6, "solution": ["A>1", "Bv2", "B<2", "C<3", "E^3", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooBoCCCoBooDDDAAoEooooFEooooFEoo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,Bv2,B<2,C<3,E^3,A>3\n"]}} {"board": "oooBoooooBoCoAABoCooooooDEooooDEFFFo", "size": 6, "moves": 6, "solution": ["C^1", "D^1", "E^1", "F<2", "Bv3", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoooooBoCoAABoCooooooDEooooDEFFFo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^1,E^1,F<2,Bv3,A>3\n"]}} {"board": "BoooooBooCCCoooDDDEoAAFGEHHoFGooooFo", "size": 6, "moves": 5, "solution": ["C<2", "D<2", "F^3", "G^2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoooooBooCCCoooDDDEoAAFGEHHoFGooooFo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,D<2,F^3,G^2,A>2\n"]}} {"board": "oooooooooooBCAADoBCooDoBCEoDoooEFFFo", "size": 6, "moves": 5, "solution": ["Bv2", "E^1", "F<2", "Cv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooBCAADoBCooDoBCEoDoooEFFFo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,E^1,F<2,Cv1,A>3\n"]}} {"board": "ooBoCDooBoCDAABooDoooooooooooooEEEoo", "size": 6, "moves": 7, "solution": ["E>2", "Bv3", "A>3", "D^1", "E<1", "Cv3", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoCDooBoCDAABooDoooooooooooooEEEoo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nE>2,Bv3,A>3,D^1,E<1,Cv3,A>1\n"]}} {"board": "ooooBoooAABCoDDEECoooFooGGoFHHoIIFoo", "size": 6, "moves": 5, "solution": ["Cv1", "C<1", "D<1", "Bv2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoooAABCoDDEECoooFooGGoFHHoIIFoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,C<1,D<1,Bv2,A>2\n"]}} {"board": "BBBoCooAAoCoDDEECFGoHIIFGJHooFGJKKoo", "size": 6, "moves": 5, "solution": ["K>1", "Hv1", "H<1", "Cv2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBoCooAAoCoDDEECFGoHIIFGJHooFGJKKoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nK>1,Hv1,H<1,Cv2,A>3\n"]}} {"board": "BCCCDoBoooDEAAooDEoFoooooFGGHHIIoJJo", "size": 6, "moves": 8, "solution": ["E^1", "A>2", "F^1", "G<2", "H<2", "J<1", "Dv3", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BCCCDoBoooDEAAooDEoFoooooFGGHHIIoJJo\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,A>2,F^1,G<2,H<2,J<1,Dv3,A>2\n"]}} {"board": "oBBBooooAAoCDDDEoCoFFEGGoooEHHoIIIoo", "size": 6, "moves": 9, "solution": ["B<1", "A<1", "E^2", "G<1", "H<3", "Dv3", "F>1", "Cv2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBooooAAoCDDDEoCoFFEGGoooEHHoIIIoo\nOptimal length (moves): 9\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,A<1,E^2,G<1,H<3,Dv3,F>1,Cv2,A>3\n"]}} {"board": "oAABCoDDDBCoEooBFGEoHHFGIIJooGooJKKo", "size": 6, "moves": 5, "solution": ["Fv1", "Cv1", "G<1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAABCoDDDBCoEooBFGEoHHFGIIJooGooJKKo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nFv1,Cv1,G<1,Bv1,A>3\n"]}} {"board": "ooooBoooooBoCAAoBoCDoEEECDFGGGooFooo", "size": 6, "moves": 9, "solution": ["Cv1", "A<1", "F^4", "A>2", "E^2", "F<2", "G<2", "Cv3", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoooooBoCAAoBoCDoEEECDFGGGooFooo\nOptimal length (moves): 9\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A<1,F^4,A>2,E^2,F<2,G<2,Cv3,A>2\n"]}} {"board": "oooooBCCCooBDEAAoBDEFoooooFoooooFGGG", "size": 6, "moves": 5, "solution": ["A>1", "F^1", "G<1", "Bv3", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBCCCooBDEAAoBDEFoooooFoooooFGGG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,F^1,G<1,Bv3,A>1\n"]}} {"board": "oooBoooooBooCCCoDEFGGGDEFooHoEAAoHoo", "size": 6, "moves": 5, "solution": ["C>1", "F^2", "G<1", "H^1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoooooBooCCCoDEFGGGDEFooHoEAAoHoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC>1,F^2,G<1,H^1,A>4\n"]}} {"board": "BoAACoBooDCoBooDEEFooGHHFooGooFIIGoo", "size": 6, "moves": 6, "solution": ["A<1", "D^1", "E<3", "Cv1", "Cv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoAACoBooDCoBooDEEFooGHHFooGooFIIGoo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<1,D^1,E<3,Cv1,Cv1,A>3\n"]}} {"board": "oBoooCoBoooCoDEAACoDEFFFGGEooooooHHH", "size": 6, "moves": 5, "solution": ["E^2", "F<1", "H<1", "Dv3", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoooCoBoooCoDEAACoDEFFFGGEooooooHHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^2,F<1,H<1,Dv3,A>1\n"]}} {"board": "AAoBoCoooBDCooEFDCGGEFDoHoEIIJHoKKKJ", "size": 6, "moves": 6, "solution": ["Cv1", "E^1", "I<2", "Fv1", "Bv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoBoCoooBDCooEFDCGGEFDoHoEIIJHoKKKJ\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,E^1,I<2,Fv1,Bv1,A>4\n"]}} {"board": "ooBBBCoooDECAAoDECooFFEoGHIIIoGHoJJJ", "size": 6, "moves": 9, "solution": ["B<2", "D^1", "A>2", "H^2", "I<1", "J<2", "Dv3", "Dv2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBCoooDECAAoDECooFFEoGHIIIoGHoJJJ\nOptimal length (moves): 9\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,D^1,A>2,H^2,I<1,J<2,Dv3,Dv2,A>2\n"]}} {"board": "oooBBBCCCDoEoFoDoEGFooHIGAAoHIoJJKKK", "size": 6, "moves": 5, "solution": ["B<1", "E^1", "H^1", "I^1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBCCCDoEoFoDoEGFooHIGAAoHIoJJKKK\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,E^1,H^1,I^1,A>3\n"]}} {"board": "oAABoooooBCCoDEEEoFDooGoFDHHGooIIoGo", "size": 6, "moves": 5, "solution": ["I>1", "Dv1", "D<2", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAABoooooBCCoDEEEoFDooGoFDHHGooIIoGo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nI>1,Dv1,D<2,Bv1,A>3\n"]}} {"board": "oooBoCAAoBoCooDDoooooEEEFFFooooooooo", "size": 6, "moves": 5, "solution": ["D<1", "E<3", "Bv2", "Bv2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoCAAoBoCooDDoooooEEEFFFooooooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,E<3,Bv2,Bv2,A>4\n"]}} {"board": "BooooCBooAACoDDooCEoFoooEoFGGGEoFHHo", "size": 6, "moves": 5, "solution": ["D<1", "F^2", "G<1", "Cv2", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BooooCBooAACoDDooCEoFoooEoFGGGEoFHHo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,F^2,G<1,Cv2,A>1\n"]}} {"board": "oooBoooCDBoooCDEEEoooFooAAoFoGoooooG", "size": 6, "moves": 6, "solution": ["C^1", "D^1", "E<3", "F^1", "G^2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoooCDBoooCDEEEoooFooAAoFoGoooooG\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^1,E<3,F^1,G^2,A>4\n"]}} {"board": "BBBooooooCCCoDDDoEoAAFoEGGGFoooooFoo", "size": 6, "moves": 5, "solution": ["C<3", "D<1", "E^1", "F^3", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBooooooCCCoDDDoEoAAFoEGGGFoooooFoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<3,D<1,E^1,F^3,A>3\n"]}} {"board": "BoCCCDBEFFFDoEGGGoHoooIoHAAoIoHoooIo", "size": 6, "moves": 6, "solution": ["A>1", "Ev2", "E<1", "F<1", "I^2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoCCCDBEFFFDoEGGGoHoooIoHAAoIoHoooIo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,Ev2,E<1,F<1,I^2,A>2\n"]}} {"board": "oAABoCoooBoCDEEEooDFoGGGDFoooHIIIooH", "size": 6, "moves": 6, "solution": ["Cv1", "I>1", "Dv1", "D<1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAABoCoooBoCDEEEooDFoGGGDFoooHIIIooH\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,I>1,Dv1,D<1,Bv1,A>3\n"]}} {"board": "ooBBBoooooooAACDEoooCDEFGGCHEFoooHoF", "size": 6, "moves": 5, "solution": ["B<2", "Cv1", "C^2", "Dv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBoooooooAACDEoooCDEFGGCHEFoooHoF\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,Cv1,C^2,Dv1,A>4\n"]}} {"board": "ooBCDoAABCDoooBCDooooooooEoFFooEoGGG", "size": 6, "moves": 6, "solution": ["E^2", "F<3", "Bv2", "Bv2", "Bv2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBCDoAABCDoooBCDooooooooEoFFooEoGGG\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^2,F<3,Bv2,Bv2,Bv2,A>4\n"]}} {"board": "BoooCoBoooCDooAAoDoEEEoDFGGHHHFoooII", "size": 6, "moves": 6, "solution": ["F^2", "G<1", "H<1", "I<1", "Dv2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoooCoBoooCDooAAoDoEEEoDFGGHHHFoooII\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^2,G<1,H<1,I<1,Dv2,A>2\n"]}} {"board": "oooBBBoooooCoooooCoDDDoCAAEoooooEooo", "size": 6, "moves": 5, "solution": ["B<1", "C^1", "D>2", "E^2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBoooooCoooooCoDDDoCAAEoooooEooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,C^1,D>2,E^2,A>4\n"]}} {"board": "oooooBooCDEBAACDEoooCFFFoooooooGGooo", "size": 6, "moves": 5, "solution": ["D^1", "E^1", "G<1", "Ev2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBooCDEBAACDEoooCFFFoooooooGGooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E^1,G<1,Ev2,A>4\n"]}} {"board": "oooBBBooAACDooEECDoFGGHDoFIIHooFoJJJ", "size": 6, "moves": 6, "solution": ["Dv1", "F^1", "J<2", "Hv1", "Cv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBooAACDooEECDoFGGHDoFIIHooFoJJJ\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,F^1,J<2,Hv1,Cv1,A>2\n"]}} {"board": "oooooBAAooCBooooCoooDEEEooDFFFooGGHH", "size": 6, "moves": 6, "solution": ["G<2", "Dv1", "D<2", "Bv2", "Bv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBAAooCBooooCoooDEEEooDFFFooGGHH\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<2,Dv1,D<2,Bv2,Bv1,A>4\n"]}} {"board": "BooooCBAAooCoooooCooDoooooDEEEooDooo", "size": 6, "moves": 5, "solution": ["A>2", "D^2", "E<1", "Cv2", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BooooCBAAooCoooooCooDoooooDEEEooDooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,D^2,E<1,Cv2,A>1\n"]}} {"board": "BBBoCoAAoDCoEEoDFFGHHIIoGJJJoooooKKK", "size": 6, "moves": 11, "solution": ["D^1", "F<2", "Gv1", "G<1", "H<1", "K<2", "Dv4", "E>2", "G>2", "Cv2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBoCoAAoDCoEEoDFFGHHIIoGJJJoooooKKK\nOptimal length (moves): 11\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,F<2,Gv1,G<1,H<1,K<2,Dv4,E>2,G>2,Cv2,A>4\n"]}} {"board": "BooCCCBooDooBoEDooAAEDoooooFFFoooooo", "size": 6, "moves": 6, "solution": ["E^1", "A>1", "Bv1", "B<3", "E^1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BooCCCBooDooBoEDooAAEDoooooFFFoooooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,A>1,Bv1,B<3,E^1,A>3\n"]}} {"board": "BooCCCBooDDDBoEoooAAEoFGoHoIFGoHoIFG", "size": 6, "moves": 6, "solution": ["C<2", "D<2", "Ev2", "E^3", "F^3", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BooCCCBooDDDBoEoooAAEoFGoHoIFGoHoIFG\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,D<2,Ev2,E^3,F^3,A>4\n"]}} {"board": "oooBoCAAoBoCDDoEECoooFooGHoFooGHoIII", "size": 6, "moves": 8, "solution": ["G^1", "H^1", "I<3", "Cv3", "D>1", "Gv1", "Bv2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoCAAoBoCDDoEECoooFooGHoFooGHoIII\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nG^1,H^1,I<3,Cv3,D>1,Gv1,Bv2,A>4\n"]}} {"board": "oooBBBCooDDDCAAEoFCGoEHFoGIJHFoGIJHo", "size": 6, "moves": 6, "solution": ["B<3", "Cv1", "C<3", "E^2", "Fv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBCooDDDCAAEoFCGoEHFoGIJHFoGIJHo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<3,Cv1,C<3,E^2,Fv1,A>3\n"]}} {"board": "BoCoDoBECoDFBEoAAFGooHoFGooHIIJJJooo", "size": 6, "moves": 6, "solution": ["E^1", "A<2", "H^3", "I<1", "Gv2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoCoDoBECoDFBEoAAFGooHoFGooHIIJJJooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,A<2,H^3,I<1,Gv2,A>3\n"]}} {"board": "oAABoCooDBoCooDBEEooDoooooFFGHooooGH", "size": 6, "moves": 5, "solution": ["F<1", "Bv3", "D<1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAABoCooDBoCooDBEEooDoooooFFGHooooGH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Bv3,D<1,Bv1,A>3\n"]}} {"board": "oBBBCDoAAoCDoEEFFDGGHHooIooJooIooJKK", "size": 6, "moves": 5, "solution": ["Dv2", "D<1", "E<1", "Cv2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBCDoAAoCDoEEFFDGGHHooIooJooIooJKK\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv2,D<1,E<1,Cv2,A>3\n"]}} {"board": "ooBoooAABCDooEECDoFGooHHFGIIJKFGooJK", "size": 6, "moves": 15, "solution": ["C^1", "D^1", "E>3", "Bv2", "Bv2", "A>2", "F^2", "G^2", "I<2", "Ev2", "Ev2", "E<2", "F<2", "Bv2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoooAABCDooEECDoFGooHHFGIIJKFGooJK\nOptimal length (moves): 15\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^1,E>3,Bv2,Bv2,A>2,F^2,G^2,I<2,Ev2,Ev2,E<2,F<2,Bv2,A>2\n"]}} {"board": "ooBCCCooBDoooooDoEoAADoEoooooEoFFFoo", "size": 6, "moves": 5, "solution": ["Bv1", "B<3", "D^1", "E^2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBCCCooBDoooooDoEoAADoEoooooEoFFFoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,B<3,D^1,E^2,A>3\n"]}} {"board": "oBoooooBoCCCoooooooooDooAAoDEoFFoDEo", "size": 6, "moves": 5, "solution": ["Bv2", "B<3", "D^2", "E^2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoooooBoCCCoooooooooDooAAoDEoFFoDEo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,B<3,D^2,E^2,A>4\n"]}} {"board": "oooooBoooooBoAAooBooooCCoDDEEEoooFFo", "size": 6, "moves": 5, "solution": ["C<1", "D<1", "E<1", "Bv3", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoooooBoAAooBooooCCoDDEEEoooFFo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,D<1,E<1,Bv3,A>3\n"]}} {"board": "ooBoooAABCoDooBCoDoooCoDoooEEooFFFoo", "size": 6, "moves": 5, "solution": ["Dv1", "E<3", "Bv2", "Bv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoooAABCoDooBCoDoooCoDoooEEooFFFoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,E<3,Bv2,Bv1,A>4\n"]}} {"board": "oooooooAAooBoooCCBoDEFFFoDEooooDEooo", "size": 6, "moves": 5, "solution": ["A>2", "E^3", "F<1", "Cv1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooAAooBoooCCBoDEFFFoDEooooDEooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,E^3,F<1,Cv1,A>1\n"]}} {"board": "oooBoooAABoCoDoooCoDEooCooEFFFooEoGG", "size": 6, "moves": 6, "solution": ["Bv2", "A>2", "E^2", "F<1", "Cv1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoooAABoCoDoooCoDEooCooEFFFooEoGG\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>2,E^2,F<1,Cv1,A>1\n"]}} {"board": "AABooCooBoDCEoBoDFEGooDFEGHIIFoGHoJJ", "size": 6, "moves": 5, "solution": ["Bv1", "J<1", "Fv1", "Bv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AABooCooBoDCEoBoDFEGooDFEGHIIFoGHoJJ\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,J<1,Fv1,Bv1,A>4\n"]}} {"board": "oooooBoCCCDBoAAoDooEFoDooEFooooEoGGG", "size": 6, "moves": 5, "solution": ["A>1", "E^1", "G<2", "Dv2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoCCCDBoAAoDooEFoDooEFooooEoGGG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,E^1,G<2,Dv2,A>2\n"]}} {"board": "oooooBAAoooBooooooooCDDDooCoooooCEEo", "size": 6, "moves": 5, "solution": ["A>3", "C^3", "D<1", "Cv2", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBAAoooBooooooooCDDDooCoooooCEEo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>3,C^3,D<1,Cv2,A>1\n"]}} {"board": "ooooBooooCBooAACBoDooCEEDFoooooFGGGo", "size": 6, "moves": 11, "solution": ["F^1", "G<2", "Cv2", "A>1", "D^3", "A<1", "E^3", "F<3", "Cv3", "Cv3", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBooooCBooAACBoDooCEEDFoooooFGGGo\nOptimal length (moves): 11\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,G<2,Cv2,A>1,D^3,A<1,E^3,F<3,Cv3,Cv3,A>3\n"]}} {"board": "oBBBooCoooooCDDDEoAAoFEGoooFEGoooFoG", "size": 6, "moves": 8, "solution": ["B<1", "E^2", "A>1", "Dv2", "D<1", "F^3", "G^3", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBooCoooooCDDDEoAAoFEGoooFEGoooFoG\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,E^2,A>1,Dv2,D<1,F^3,G^3,A>3\n"]}} {"board": "oBBBooCoDoooCoDEEECooFGooooFGooAAFoo", "size": 6, "moves": 5, "solution": ["Cv2", "Cv2", "C<3", "F^1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBooCoDoooCoDEEECooFGooooFGooAAFoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,Cv2,C<3,F^1,A>3\n"]}} {"board": "oBBBoCoooooCoAAooCDooEEEDooFFFDooGGG", "size": 6, "moves": 5, "solution": ["E<1", "F<1", "G<1", "Cv3", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBoCoooooCoAAooCDooEEEDooFFFDooGGG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,F<1,G<1,Cv3,A>3\n"]}} {"board": "ooooBoooooBoAAooBooCooDDoCoEEooCoFFF", "size": 6, "moves": 7, "solution": ["A>2", "C^1", "D<2", "E<1", "F<2", "Bv3", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoooooBoAAooBooCooDDoCoEEooCoFFF\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,C^1,D<2,E<1,F<2,Bv3,A>2\n"]}} {"board": "oBBBCoAAooCDEFFoGDEoHHGDEooIIIooJJoo", "size": 6, "moves": 5, "solution": ["I<2", "Dv1", "Fv2", "Cv2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBCoAAooCDEFFoGDEoHHGDEooIIIooJJoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nI<2,Dv1,Fv2,Cv2,A>4\n"]}} {"board": "ooBAACooBooCoDEooCoDEFGGoooFHHoooFoo", "size": 6, "moves": 9, "solution": ["D^1", "Ev2", "Bv1", "A<2", "E^3", "F<3", "Bv1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBAACooBooCoDEooCoDEFGGoooFHHoooFoo\nOptimal length (moves): 9\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,Ev2,Bv1,A<2,E^3,F<3,Bv1,Bv1,A>3\n"]}} {"board": "oooooBooCooBAACooBoooDDDooEEoooooFFF", "size": 6, "moves": 5, "solution": ["C^1", "D<1", "F<1", "Cv3", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBooCooBAACooBoooDDDooEEoooooFFF\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D<1,F<1,Cv3,A>4\n"]}} {"board": "oooBCoAAoBCDEoooFDEGGGFDEooHHooooooo", "size": 6, "moves": 9, "solution": ["A>1", "Dv1", "D^2", "G<1", "Cv2", "H<1", "Ev2", "Cv2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBCoAAoBCDEoooFDEGGGFDEooHHooooooo\nOptimal length (moves): 9\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,Dv1,D^2,G<1,Cv2,H<1,Ev2,Cv2,A>3\n"]}} {"board": "BCCCDEBoAADEooooFFGooHHHGIIIJoGKKKJo", "size": 6, "moves": 5, "solution": ["F<2", "H<2", "Dv2", "Dv2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BCCCDEBoAADEooooFFGooHHHGIIIJoGKKKJo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<2,H<2,Dv2,Dv2,A>2\n"]}} {"board": "BooCCCBooDDDBoEFFFGoEAAHGIoooHGIoJJH", "size": 6, "moves": 6, "solution": ["C<1", "D<1", "Ev1", "E<1", "H^3", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BooCCCBooDDDBoEFFFGoEAAHGIoooHGIoJJH\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,D<1,Ev1,E<1,H^3,A>1\n"]}} {"board": "AAoBCDoEoBCDFEooCDFEoGGGHoIoJJHoIKKo", "size": 6, "moves": 7, "solution": ["Bv1", "A>2", "D^1", "G<2", "Cv1", "Cv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoBCDoEoBCDFEooCDFEoGGGHoIoJJHoIKKo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2,D^1,G<2,Cv1,Cv1,A>2\n"]}} {"board": "oBoCCCoBoDDDEoAAFGEoHHFGIIJJKGooooKo", "size": 6, "moves": 6, "solution": ["Bv2", "B<2", "C<2", "F^2", "Gv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoCCCoBoDDDEoAAFGEoHHFGIIJJKGooooKo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,B<2,C<2,F^2,Gv1,A>2\n"]}} {"board": "oooooBAAoCoBoooCDDoEoCooFEoGGoFooooo", "size": 6, "moves": 5, "solution": ["G>1", "Cv2", "C<1", "Bv2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBAAoCoBoooCDDoEoCooFEoGGoFooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nG>1,Cv2,C<1,Bv2,A>4\n"]}} {"board": "ooooBooCCCBooAADBEFooDoEFGGDoHooIIIH", "size": 6, "moves": 5, "solution": ["E^2", "I<2", "Bv3", "Dv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBooCCCBooAADBEFooDoEFGGDoHooIIIH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^2,I<2,Bv3,Dv1,A>3\n"]}} {"board": "BCCCooBDoEEEoDoFFFoDooGHooAAGHoIIoGH", "size": 6, "moves": 7, "solution": ["I>1", "Dv2", "D<2", "E<2", "G^2", "H^2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BCCCooBDoEEEoDoFFFoDooGHooAAGHoIIoGH\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nI>1,Dv2,D<2,E<2,G^2,H^2,A>2\n"]}} {"board": "oooooooAAooBoooCoBDDoCoBoooCEEoooooo", "size": 6, "moves": 5, "solution": ["C^1", "E<3", "Bv1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooAAooBoooCoBDDoCoBoooCEEoooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,E<3,Bv1,Bv1,A>3\n"]}} {"board": "oBBBooCoDEEECoDooFCooooFoooAAGHHoooG", "size": 6, "moves": 5, "solution": ["Dv1", "D<1", "F^2", "G^2", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBooCoDEEECoDooFCooooFoooAAGHHoooG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,D<1,F^2,G^2,A>1\n"]}} {"board": "ooooooooooooBCCCooBooDoEBAADoEoooDoo", "size": 6, "moves": 5, "solution": ["Bv1", "B<1", "D^2", "E^1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooooBCCCooBooDoEBAADoEoooDoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,B<1,D^2,E^1,A>3\n"]}} {"board": "oBoCCCDBEEEFDBGooFAAGooFooHIIoooHJJJ", "size": 6, "moves": 9, "solution": ["C<1", "Fv1", "E>1", "F^1", "A>3", "Ev1", "E<1", "G^2", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoCCCDBEEEFDBGooFAAGooFooHIIoooHJJJ\nOptimal length (moves): 9\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,Fv1,E>1,F^1,A>3,Ev1,E<1,G^2,A>1\n"]}} {"board": "ooAABooCooBooCDEEEFCDGGGFooooHoooooH", "size": 6, "moves": 5, "solution": ["Cv2", "Cv1", "C<2", "Bv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAABooCooBooCDEEEFCDGGGFooooHoooooH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,Cv1,C<2,Bv1,A>2\n"]}} {"board": "ooBoooAABooCDoBooCDooEEEoooooooooooo", "size": 6, "moves": 5, "solution": ["E<1", "Cv3", "D>1", "Bv2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoooAABooCDoBooCDooEEEoooooooooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Cv3,D>1,Bv2,A>4\n"]}} {"board": "BBBooCoDDDoCoAAooCEoFGooEoFGoooooGHH", "size": 6, "moves": 5, "solution": ["G^1", "H<3", "Cv3", "Dv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBooCoDDDoCoAAooCEoFGooEoFGoooooGHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nG^1,H<3,Cv3,Dv1,A>3\n"]}} {"board": "BAACooBDoCooBDoEEFoDoooFoGGoHHoooooo", "size": 6, "moves": 5, "solution": ["G>1", "Dv2", "D<2", "Cv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BAACooBDoCooBDoEEFoDoooFoGGoHHoooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nG>1,Dv2,D<2,Cv1,A>3\n"]}} {"board": "ooBAACooBDoCoooDEEFooDoGFoHHHGFooooG", "size": 6, "moves": 6, "solution": ["F^2", "H<2", "Ev2", "E<1", "Cv1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBAACooBDoCoooDEEFooDoGFoHHHGFooooG\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^2,H<2,Ev2,E<1,Cv1,A>1\n"]}} {"board": "AAooBooCCCBooDDoEoFFooEoGHHoIIGooJJo", "size": 6, "moves": 7, "solution": ["F>1", "G^2", "H<1", "I<2", "Fv1", "Bv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAooBooCCCBooDDoEoFFooEoGHHoIIGooJJo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nF>1,G^2,H<1,I<2,Fv1,Bv1,A>4\n"]}} {"board": "ooooBooAACBDEEoCBDooFCooooFGGoooFHHH", "size": 6, "moves": 8, "solution": ["A<1", "Dv1", "F^2", "G<3", "Bv2", "Bv1", "Bv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBooAACBDEEoCBDooFCooooFGGoooFHHH\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<1,Dv1,F^2,G<3,Bv2,Bv1,Bv1,A>4\n"]}} {"board": "ooooooBoooooBCDEEEBCDooooCAAFGoHHHFG", "size": 6, "moves": 8, "solution": ["D^2", "F^1", "H>1", "Dv1", "D<2", "F^1", "G^2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooBoooooBCDEEEBCDooooCAAFGoHHHFG\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,F^1,H>1,Dv1,D<2,F^1,G^2,A>2\n"]}} {"board": "ooooBoCoooBoCAAoBoDEFoGGDEFHHHDEIIoo", "size": 6, "moves": 9, "solution": ["C^1", "A<1", "F^3", "A>2", "F^2", "G<2", "H<2", "Dv3", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoCoooBoCAAoBoDEFoGGDEFHHHDEIIoo\nOptimal length (moves): 9\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A<1,F^3,A>2,F^2,G<2,H<2,Dv3,A>2\n"]}} {"board": "oBBBoooooCoDAAoCEDoFFoEoooGGGooooooo", "size": 6, "moves": 5, "solution": ["B<1", "C^1", "D^1", "E^2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBoooooCoDAAoCEDoFFoEoooGGGooooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,C^1,D^1,E^2,A>4\n"]}} {"board": "oBoooCDBAAoCDEoFFFoEGHHHoEGIJoKKKIJo", "size": 6, "moves": 6, "solution": ["A>1", "G^3", "G<1", "H<1", "Dv2", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoooCDBAAoCDEoFFFoEGHHHoEGIJoKKKIJo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,G^3,G<1,H<1,Dv2,A>1\n"]}} {"board": "AAoooBCooooBCooooBCoDEEEooDFFFGGDoHH", "size": 6, "moves": 5, "solution": ["A>3", "D^3", "E<1", "Cv1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoooBCooooBCooooBCoDEEEooDFFFGGDoHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>3,D^3,E<1,Cv1,A>1\n"]}} {"board": "ooBoooAABoooooBooooCCCoDoooooDoooooD", "size": 6, "moves": 8, "solution": ["D^3", "D>2", "Bv2", "A>3", "C^2", "D<1", "Cv2", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoooAABoooooBooooCCCoDoooooDoooooD\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^3,D>2,Bv2,A>3,C^2,D<1,Cv2,A>1\n"]}} {"board": "ooBCDoEoBCDFEoBGDFHAAGoFHooIIIoooooo", "size": 6, "moves": 6, "solution": ["E^1", "F^1", "H^1", "I<3", "Hv2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBCDoEoBCDFEoBGDFHAAGoFHooIIIoooooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,F^1,H^1,I<3,Hv2,A>3\n"]}} {"board": "oooAABCCCDoBoooDEEoFoGGGHFIoooHFIJJJ", "size": 6, "moves": 6, "solution": ["A<2", "D^1", "E<3", "Bv1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooAABCCCDoBoooDEEoFoGGGHFIoooHFIJJJ\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<2,D^1,E<3,Bv1,Bv1,A>3\n"]}} {"board": "BoCCCDBooAADEFFGGGEHIIIoEHJKKKoHJooo", "size": 6, "moves": 5, "solution": ["Ev1", "E<1", "F<1", "Dv2", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoCCCDBooAADEFFGGGEHIIIoEHJKKKoHJooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,E<1,F<1,Dv2,A>1\n"]}} {"board": "AABoooooBooCoDDDoCoooooCoooEEEoooooo", "size": 6, "moves": 5, "solution": ["E<1", "Cv2", "C>2", "Bv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AABoooooBooCoDDDoCoooooCoooEEEoooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Cv2,C>2,Bv1,A>4\n"]}} {"board": "oBBBCoAAooCoDEFFCoDEGGGoooHHooIIJJKK", "size": 6, "moves": 5, "solution": ["A>2", "E^1", "G<1", "Cv2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBCoAAooCoDEFFCoDEGGGoooHHooIIJJKK\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,E^1,G<1,Cv2,A>2\n"]}} {"board": "AABoCDEoBoCDEoBFGGEHoFoIoHoooIoHJJJo", "size": 6, "moves": 7, "solution": ["Fv1", "J>1", "Bv3", "E<2", "Bv1", "Bv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AABoCDEoBoCDEoBFGGEHoFoIoHoooIoHJJJo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nFv1,J>1,Bv3,E<2,Bv1,Bv1,A>4\n"]}} {"board": "oAABCoDDDBCooEFBGGoEFoHooEooHooooIII", "size": 6, "moves": 6, "solution": ["Fv1", "I<3", "Bv3", "E<2", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAABCoDDDBCooEFBGGoEFoHooEooHooooIII\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nFv1,I<3,Bv3,E<2,Bv1,A>3\n"]}} {"board": "oooBBBoooooCoAADoCoooDoCoEEFFFoGGGoo", "size": 6, "moves": 6, "solution": ["B<3", "D^2", "E<1", "F<1", "Dv2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBoooooCoAADoCoooDoCoEEFFFoGGGoo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<3,D^2,E<1,F<1,Dv2,A>3\n"]}} {"board": "ooooBoooAABooooCDDEFFCGGEooCHHooIIIo", "size": 6, "moves": 13, "solution": ["A<1", "E^2", "F<1", "I<2", "Dv1", "D<3", "F^3", "G<2", "H<3", "Cv4", "F>2", "Bv2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoooAABooooCDDEFFCGGEooCHHooIIIo\nOptimal length (moves): 13\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<1,E^2,F<1,I<2,Dv1,D<3,F^3,G<2,H<3,Cv4,F>2,Bv2,A>3\n"]}} {"board": "BooCCCBooDoooAADEooFFDEoGHHHEIGoJJoI", "size": 6, "moves": 6, "solution": ["Ev1", "G^2", "H<1", "J<1", "Dv2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BooCCCBooDoooAADEooFFDEoGHHHEIGoJJoI\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,G^2,H<1,J<1,Dv2,A>3\n"]}} {"board": "BBBCoDoAACoDoEEFFDoGHoIoJGHoIoJGHKKK", "size": 6, "moves": 7, "solution": ["E<1", "H^1", "K<1", "Dv3", "F>1", "Cv2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBCoDoAACoDoEEFFDoGHoIoJGHoIoJGHKKK\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,H^1,K<1,Dv3,F>1,Cv2,A>3\n"]}} {"board": "oBCCCooBDDDooBEEEooAAoFoooooFooGGoFo", "size": 6, "moves": 8, "solution": ["A>1", "G>1", "Bv3", "B<1", "C<1", "D<1", "F^3", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBCCCooBDDDooBEEEooAAoFoooooFooGGoFo\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,G>1,Bv3,B<1,C<1,D<1,F^3,A>2\n"]}} {"board": "oAAoBCDEEEBCDFoooGDFoHIGJKKHIGJooLLL", "size": 6, "moves": 5, "solution": ["Bv1", "L<1", "Gv1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAoBCDEEEBCDFoooGDFoHIGJKKHIGJooLLL\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,L<1,Gv1,Bv1,A>3\n"]}} {"board": "oooooBoooAABoooooBCCDDDoooEFFFooEooo", "size": 6, "moves": 6, "solution": ["D>1", "E^3", "E<1", "F<1", "Bv2", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoooAABoooooBCCDDDoooEFFFooEooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nD>1,E^3,E<1,F<1,Bv2,A>1\n"]}} {"board": "BCooooBCDDDEBCFFFEAAGooEooGHHIJJJooI", "size": 6, "moves": 9, "solution": ["E^1", "I^1", "J>3", "Gv1", "A>3", "H^1", "J<1", "Hv1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BCooooBCDDDEBCFFFEAAGooEooGHHIJJJooI\nOptimal length (moves): 9\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,I^1,J>3,Gv1,A>3,H^1,J<1,Hv1,A>1\n"]}} {"board": "oooBBBCCCDooAAEDooooEFFFooEGGGHHHooo", "size": 6, "moves": 5, "solution": ["B<3", "D^1", "H>3", "Ev1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBCCCDooAAEDooooEFFFooEGGGHHHooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<3,D^1,H>3,Ev1,A>4\n"]}} {"board": "ooBCooAABCooDoEEEoDFooGGDFoHHHoFoIII", "size": 6, "moves": 6, "solution": ["Dv1", "D>1", "Bv3", "C<3", "Bv2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBCooAABCooDoEEEoDFooGGDFoHHHoFoIII\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,D>1,Bv3,C<3,Bv2,A>4\n"]}} {"board": "oBoooooBCCCDoBoooDoAAoEoooooEoooooEo", "size": 6, "moves": 5, "solution": ["A>1", "Bv2", "B<1", "E^3", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoooooBCCCDoBoooDoAAoEoooooEoooooEo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,Bv2,B<1,E^3,A>2\n"]}} {"board": "oAAooBoooooBoCoDDBoCEEFFoCooGGoooooo", "size": 6, "moves": 6, "solution": ["A>1", "C^2", "E<1", "F<1", "Cv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAooBoooooBoCoDDBoCEEFFoCooGGoooooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,C^2,E<1,F<1,Cv1,A>2\n"]}} {"board": "oBoooooBoCCCoBooDooAAoDoooooDooEEFFF", "size": 6, "moves": 5, "solution": ["A>1", "Bv2", "B<2", "D^2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoooooBoCCCoBooDooAAoDoooooDooEEFFF\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,Bv2,B<2,D^2,A>2\n"]}} {"board": "oooBBBAAooCoooDoCoooDoEEooDFFFoooGGG", "size": 6, "moves": 5, "solution": ["D^2", "E<4", "Bv2", "Cv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBAAooCoooDoCoooDoEEooDFFFoooGGG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,E<4,Bv2,Cv1,A>4\n"]}} {"board": "oooBoooAABCoDDoBCoEEooCoFoGHHoFoGooo", "size": 6, "moves": 5, "solution": ["G^2", "H<2", "Bv2", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoooAABCoDDoBCoEEooCoFoGHHoFoGooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nG^2,H<2,Bv2,Bv1,A>3\n"]}} {"board": "AAoooBCDDDoBCEEEFFCGHHIooGJJIooGoKKK", "size": 6, "moves": 5, "solution": ["Cv2", "D<1", "E<1", "Bv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoooBCDDDoBCEEEFFCGHHIooGJJIooGoKKK\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,D<1,E<1,Bv1,A>4\n"]}} {"board": "BoCCCoBoDoooBoDoooooDEEEooooFoAAooFo", "size": 6, "moves": 5, "solution": ["C>1", "D^1", "E<2", "F^1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoCCCoBoDoooBoDoooooDEEEooooFoAAooFo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC>1,D^1,E<2,F^1,A>4\n"]}} {"board": "oooooooooooBCCCooBoDDDoBooEoFoAAEoFo", "size": 6, "moves": 5, "solution": ["B^1", "F^3", "E>2", "F^1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooBCCCooBoDDDoBooEoFoAAEoFo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,F^3,E>2,F^1,A>4\n"]}} {"board": "BBBCooDAACoEDFFFGEDHHoGEooIIoooooJJJ", "size": 6, "moves": 5, "solution": ["Dv2", "Dv1", "D<1", "Cv2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBCooDAACoEDFFFGEDHHoGEooIIoooooJJJ\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv2,Dv1,D<1,Cv2,A>3\n"]}} {"board": "ooAABoooooBoCoDEFFCoDEoooooEGooHHHGo", "size": 6, "moves": 6, "solution": ["Dv1", "H<1", "Dv1", "D<2", "Bv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAABoooooBoCoDEFFCoDEoooooEGooHHHGo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,H<1,Dv1,D<2,Bv1,A>2\n"]}} {"board": "ooBBBooooooooooCooAADCoEooDCoEoooooE", "size": 6, "moves": 5, "solution": ["B<2", "C^2", "D^2", "E^3", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBooooooooooCooAADCoEooDCoEoooooE\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,C^2,D^2,E^3,A>4\n"]}} {"board": "BBBooCooDooCooDEEEoFFFoooAAGoooHHGoo", "size": 6, "moves": 11, "solution": ["F>2", "A<1", "H<1", "Dv3", "D<3", "E<3", "G^4", "E>3", "F>3", "G^2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBooCooDooCooDEEEoFFFoooAAGoooHHGoo\nOptimal length (moves): 11\nReturn only the and blocks.", "\nShortest path found.\n\n\nF>2,A<1,H<1,Dv3,D<3,E<3,G^4,E>3,F>3,G^2,A>4\n"]}} {"board": "ooBCCCooBoDoEEEoDoAAooDooooFFoGGoooo", "size": 6, "moves": 8, "solution": ["F<3", "Dv2", "D>3", "Bv4", "B<2", "C<2", "D^3", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBCCCooBoDoEEEoDoAAooDooooFFoGGoooo\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<3,Dv2,D>3,Bv4,B<2,C<2,D^3,A>4\n"]}} {"board": "oooooBoCCCDBoAAoDBoEEFFFGooHHHGoIIoo", "size": 6, "moves": 6, "solution": ["D^1", "E<1", "F<1", "H<1", "Cv3", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoCCCDBoAAoDBoEEFFFGooHHHGoIIoo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E<1,F<1,H<1,Cv3,A>3\n"]}} {"board": "oooBoCoAABoCoooBooDDDoEEooooFooGGoFo", "size": 6, "moves": 5, "solution": ["E<1", "Cv4", "D>1", "Bv2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoCoAABoCoooBooDDDoEEooooFooGGoFo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Cv4,D>1,Bv2,A>3\n"]}} {"board": "ooooBCDDDEBCAAoEFCooGEFoHHGoFoooGoII", "size": 6, "moves": 7, "solution": ["G^1", "I<4", "Cv3", "Dv2", "Dv1", "Dv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBCDDDEBCAAoEFCooGEFoHHGoFoooGoII\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nG^1,I<4,Cv3,Dv2,Dv1,Dv1,A>4\n"]}} {"board": "oBBBCDoAAECDoooECFoGHooFIGHoooIGHJJJ", "size": 6, "moves": 7, "solution": ["Cv2", "Dv1", "H^1", "J<1", "Gv2", "Cv2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBCDoAAECDoooECFoGHooFIGHoooIGHJJJ\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,Dv1,H^1,J<1,Gv2,Cv2,A>3\n"]}} {"board": "oBCCCDoBoooDoooEFDGAAEFoGooEFHGIIIoH", "size": 6, "moves": 5, "solution": ["Bv1", "B<2", "E^2", "F^2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBCCCDoBoooDoooEFDGAAEFoGooEFHGIIIoH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,B<2,E^2,F^2,A>3\n"]}} {"board": "oooBCooAABCDooooCDEoooooEFooGGEFHHoo", "size": 6, "moves": 5, "solution": ["Bv2", "Cv1", "G<2", "Bv2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBCooAABCDooooCDEoooooEFooGGEFHHoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,Cv1,G<2,Bv2,A>3\n"]}} {"board": "oooBBBAAooCooDoECoFDoEGGFDHoIIFoHJJJ", "size": 6, "moves": 10, "solution": ["E^1", "H^3", "H<2", "I<2", "J<2", "Ev3", "G>2", "Cv1", "Cv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBAAooCooDoECoFDoEGGFDHoIIFoHJJJ\nOptimal length (moves): 10\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,H^3,H<2,I<2,J<2,Ev3,G>2,Cv1,Cv1,A>4\n"]}} {"board": "AAoBCoDDoBCooooBEoFGooEoFGHHHIFoJJJI", "size": 6, "moves": 6, "solution": ["Bv1", "G^1", "H<1", "Fv1", "Bv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoBCoDDoBCooooBEoFGooEoFGHHHIFoJJJI\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,G^1,H<1,Fv1,Bv1,A>4\n"]}} {"board": "oBoooCoBAAoCoBoDDCoEEEFFoooGGGHHHIII", "size": 6, "moves": 5, "solution": ["E<1", "F<1", "G<1", "Cv2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoooCoBAAoCoBoDDCoEEEFFoooGGGHHHIII\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,F<1,G<1,Cv2,A>2\n"]}} {"board": "oooooBooAAoBCCoDoBoooDEEoooDooFFFGGG", "size": 6, "moves": 6, "solution": ["A<1", "D^2", "E<3", "Bv2", "Bv2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBooAAoBCCoDoBoooDEEoooDooFFFGGG\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<1,D^2,E<3,Bv2,Bv2,A>3\n"]}} {"board": "BoCCCDBAAooDBEEEoDFFooGGoHHIIIoooJJJ", "size": 6, "moves": 5, "solution": ["G<1", "H<1", "I<1", "Dv2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoCCCDBAAooDBEEEoDFFooGGoHHIIIoooJJJ\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,H<1,I<1,Dv2,A>3\n"]}} {"board": "BooCCCBoooooDEEEooDooFooAAoFooooooGG", "size": 6, "moves": 5, "solution": ["A>1", "Dv1", "D<1", "F^1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BooCCCBoooooDEEEooDooFooAAoFooooooGG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,Dv1,D<1,F^1,A>3\n"]}} {"board": "BoCoDoBoCEDFBoCEDFAAGEoFooGoHIooJJHI", "size": 6, "moves": 5, "solution": ["E^1", "F^1", "J<2", "Gv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoCoDoBoCEDFBoCEDFAAGEoFooGoHIooJJHI\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,F^1,J<2,Gv1,A>4\n"]}} {"board": "BBBooooCAADEoCooDEFCGHHHFoGoIIFJJKKK", "size": 6, "moves": 9, "solution": ["B>2", "C^1", "F^1", "J<1", "Gv1", "G<2", "Dv1", "Dv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBooooCAADEoCooDEFCGHHHFoGoIIFJJKKK\nOptimal length (moves): 9\nReturn only the and blocks.", "\nShortest path found.\n\n\nB>2,C^1,F^1,J<1,Gv1,G<2,Dv1,Dv1,A>2\n"]}} {"board": "oooBoCDEoBoCDEAAoCDFGHHHoFGIIIoFGJJJ", "size": 6, "moves": 7, "solution": ["A>1", "G^3", "H<1", "I<1", "J<1", "Dv3", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoCDEoBoCDEAAoCDFGHHHoFGIIIoFGJJJ\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,G^3,H<1,I<1,J<1,Dv3,A>1\n"]}} {"board": "oooBBBoooooCooAAoCDoooECDFFoEoDGGGHH", "size": 6, "moves": 5, "solution": ["D^1", "G<1", "H<1", "Cv2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBoooooCooAAoCDoooECDFFoEoDGGGHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,G<1,H<1,Cv2,A>2\n"]}} {"board": "ooBBBoooAACooDDDCooooECooooEFFoooGGG", "size": 6, "moves": 5, "solution": ["D<1", "E^1", "F<2", "Cv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBoooAACooDDDCooooECooooEFFoooGGG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,E^1,F<2,Cv1,A>2\n"]}} {"board": "ooAAoBoooooBCCoooBDoEFFFDoEoooDoEoGG", "size": 6, "moves": 5, "solution": ["A>1", "E^3", "F<1", "Cv1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAAoBoooooBCCoooBDoEFFFDoEoooDoEoGG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,E^3,F<1,Cv1,A>1\n"]}} {"board": "oBAACoDBEECoDBoFGGDHHFoIoooJJIoKKooI", "size": 6, "moves": 5, "solution": ["J<2", "Fv1", "F<2", "Cv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBAACoDBEECoDBoFGGDHHFoIoooJJIoKKooI\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nJ<2,Fv1,F<2,Cv1,A>2\n"]}} {"board": "oooooBoAAooBCCoooBDDEFFFGoEoooGoEooo", "size": 6, "moves": 5, "solution": ["A>2", "E^3", "F<1", "Cv2", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoAAooBCCoooBDDEFFFGoEoooGoEooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,E^3,F<1,Cv2,A>1\n"]}} {"board": "oBBBCooAAoCoDooECoDFoEooGFoHHHGFoooo", "size": 6, "moves": 5, "solution": ["A>1", "F^2", "H<2", "Cv2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBCooAAoCoDooECoDFoEooGFoHHHGFoooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,F^2,H<2,Cv2,A>2\n"]}} {"board": "oooBBBCDooooCDoEoFoAAEGFHHoEGFoIIIGo", "size": 6, "moves": 5, "solution": ["B<3", "E^2", "F^2", "G^3", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBCDooooCDoEoFoAAEGFHHoEGFoIIIGo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<3,E^2,F^2,G^3,A>3\n"]}} {"board": "ooAAoBooCCCBDDDooBEoFGGGEoFHHIEJJKKI", "size": 6, "moves": 7, "solution": ["D>1", "E^1", "J<1", "Fv1", "F<1", "Bv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAAoBooCCCBDDDooBEoFGGGEoFHHIEJJKKI\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nD>1,E^1,J<1,Fv1,F<1,Bv1,A>2\n"]}} {"board": "oooBCoAAoBCoDoEFCoDGEFooHGEoooHGoIII", "size": 6, "moves": 9, "solution": ["Cv2", "A>1", "C^1", "G^1", "H^1", "I<3", "Fv2", "Bv2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBCoAAoBCoDoEFCoDGEFooHGEoooHGoIII\nOptimal length (moves): 9\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,A>1,C^1,G^1,H^1,I<3,Fv2,Bv2,A>3\n"]}} {"board": "ooooBoooooBooAACBooooCDDooEFFFooEooo", "size": 6, "moves": 7, "solution": ["A<1", "C^2", "D<4", "E^4", "F<2", "Dv3", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoooooBooAACBooooCDDooEFFFooEooo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<1,C^2,D<4,E^4,F<2,Dv3,A>4\n"]}} {"board": "ooAAoBCDDEoBCooEoBCooEFFooooooGGGooo", "size": 6, "moves": 6, "solution": ["A<1", "E^1", "F<3", "Bv1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAAoBCDDEoBCooEoBCooEFFooooooGGGooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<1,E^1,F<3,Bv1,Bv1,A>3\n"]}} {"board": "BoCCCoBooDDDBEoooFoEAAGFHHHoGFoIIIGo", "size": 6, "moves": 5, "solution": ["C<1", "D<2", "F^2", "G^3", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoCCCoBooDDDBEoooFoEAAGFHHHoGFoIIIGo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,D<2,F^2,G^3,A>2\n"]}} {"board": "ooAAoBooCooBDECFGBDEoFGHDIIFGHoJJKKK", "size": 6, "moves": 5, "solution": ["J<1", "K<1", "Hv1", "Bv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAAoBooCooBDECFGBDEoFGHDIIFGHoJJKKK\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nJ<1,K<1,Hv1,Bv1,A>2\n"]}} {"board": "oooooooBoCCCoBoooDoBEooDAAEooDFFEooo", "size": 6, "moves": 6, "solution": ["E^2", "A>3", "Cv1", "C<1", "E^1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooBoCCCoBoooDoBEooDAAEooDFFEooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^2,A>3,Cv1,C<1,E^1,A>1\n"]}} {"board": "oooooBCCCDoBooEDooooEoooAAEooooooooo", "size": 6, "moves": 5, "solution": ["Bv2", "Cv1", "B>3", "C^1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBCCCDoBooEDooooEoooAAEooooooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,Cv1,B>3,C^1,A>4\n"]}} {"board": "ooAABoCCCoBoooooBDooooEDooFoEoooFoGG", "size": 6, "moves": 5, "solution": ["F^1", "G<2", "Fv1", "Bv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAABoCCCoBoooooBDooooEDooFoEoooFoGG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,G<2,Fv1,Bv1,A>2\n"]}} {"board": "ooooBooAACBoDooCBoDooEEoFoooGGFooooo", "size": 6, "moves": 5, "solution": ["E<2", "Cv1", "G<2", "Bv2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBooAACBoDooCBoDooEEoFoooGGFooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<2,Cv1,G<2,Bv2,A>3\n"]}} {"board": "oooooBAACooBooCoDDEEFoooGoFHHHGooooo", "size": 6, "moves": 5, "solution": ["D<1", "Bv2", "Fv1", "Bv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBAACooBooCoDDEEFoooGoFHHHGooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv2,Fv1,Bv1,A>4\n"]}} {"board": "oAABCooooBCDEEoBCDFGGGoDFoHoIIFoHooo", "size": 6, "moves": 6, "solution": ["Cv1", "E>1", "F^3", "G<1", "Cv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAABCooooBCDEEoBCDFGGGoDFoHoIIFoHooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,E>1,F^3,G<1,Cv1,A>3\n"]}} {"board": "oBoCCCoBoDoooooDoooooDoooooEooAAoEoo", "size": 6, "moves": 5, "solution": ["Bv1", "B<3", "D^1", "E^1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoCCCoBoDoooooDoooooDoooooEooAAoEoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,B<3,D^1,E^1,A>4\n"]}} {"board": "oooooooooBBBAACooDooCEFDoooEFDoooEGG", "size": 6, "moves": 6, "solution": ["C^2", "E^1", "G<3", "Dv1", "Dv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBBBAACooDooCEFDoooEFDoooEGG\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,E^1,G<3,Dv1,Dv1,A>4\n"]}} {"board": "BoAACDBEEoCDBFooCDGFHHHoGoIIoJGoKKKJ", "size": 6, "moves": 5, "solution": ["Dv1", "Fv2", "G<1", "Cv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoAACDBEEoCDBFooCDGFHHHoGoIIoJGoKKKJ\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,Fv2,G<1,Cv1,A>2\n"]}} {"board": "oooooooooooBooAAoBoooooBCoDEFFCoDEoo", "size": 6, "moves": 5, "solution": ["A<1", "E^4", "F<1", "Cv2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooBooAAoBoooooBCoDEFFCoDEoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<1,E^4,F<1,Cv2,A>3\n"]}} {"board": "oooAABCoDooBCoDooBEoFGGGEoFHoIEJJHoI", "size": 6, "moves": 7, "solution": ["C^1", "E^1", "J<1", "Fv1", "F<1", "Cv1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooAABCoDooBCoDooBEoFGGGEoFHoIEJJHoI\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,E^1,J<1,Fv1,F<1,Cv1,A>1\n"]}} {"board": "oooAABooooCBDEEECBDoFGHHDIFGoooIoGoo", "size": 6, "moves": 9, "solution": ["A<2", "Dv1", "D<1", "Fv1", "F^3", "G<3", "Bv1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooAABooooCBDEEECBDoFGHHDIFGoooIoGoo\nOptimal length (moves): 9\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<2,Dv1,D<1,Fv1,F^3,G<3,Bv1,Bv1,A>3\n"]}} {"board": "oooBCoDAABCoDEoBoooEoFFGooHoIGJJHoIG", "size": 6, "moves": 11, "solution": ["Dv1", "A<1", "H^3", "J>2", "Ev2", "Ev2", "E<3", "Bv2", "Bv2", "Bv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBCoDAABCoDEoBoooEoFFGooHoIGJJHoIG\nOptimal length (moves): 11\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,A<1,H^3,J>2,Ev2,Ev2,E<3,Bv2,Bv2,Bv1,A>4\n"]}} {"board": "ooAAoBoooooBCCoDoEoFFDoEGGoDHHoooooo", "size": 6, "moves": 5, "solution": ["D^1", "H<1", "Ev1", "Bv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAAoBoooooBCCoDoEoFFDoEGGoDHHoooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,H<1,Ev1,Bv1,A>2\n"]}} {"board": "BoooooBCDDDEBCFooEoCFoooAAGooHooGooH", "size": 6, "moves": 11, "solution": ["Ev1", "D>1", "E^2", "G^2", "A>3", "Fv2", "Cv2", "D<1", "F^2", "H^2", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoooooBCDDDEBCFooEoCFoooAAGooHooGooH\nOptimal length (moves): 11\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,D>1,E^2,G^2,A>3,Fv2,Cv2,D<1,F^2,H^2,A>1\n"]}} {"board": "oBBBooooCCCooDDDooAAEooFooEooFooEooF", "size": 6, "moves": 11, "solution": ["B>2", "C>1", "D>2", "E^3", "A>3", "Bv3", "B<1", "C<1", "D<1", "F^3", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBooooCCCooDDDooAAEooFooEooFooEooF\nOptimal length (moves): 11\nReturn only the and blocks.", "\nShortest path found.\n\n\nB>2,C>1,D>2,E^3,A>3,Bv3,B<1,C<1,D<1,F^3,A>1\n"]}} {"board": "ooooBCDooEBCDAAEoCooooFFGGGooooooHHH", "size": 6, "moves": 5, "solution": ["E^1", "F<1", "H<1", "Dv3", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBCDooEBCDAAEoCooooFFGGGooooooHHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,F<1,H<1,Dv3,A>3\n"]}} {"board": "BCCCooBoDDDEAAoooEoooFoEGGoFoooooFHH", "size": 6, "moves": 5, "solution": ["F^1", "H<3", "Ev2", "Ev1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BCCCooBoDDDEAAoooEoooFoEGGoFoooooFHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,H<3,Ev2,Ev1,A>4\n"]}} {"board": "oooooBoooooBooCCCBAAoDEFoooDEFoooDoo", "size": 6, "moves": 5, "solution": ["C<2", "D^3", "E^2", "Fv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoooooBooCCCBAAoDEFoooDEFoooDoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,D^3,E^2,Fv1,A>4\n"]}} {"board": "oBoooooBCCCoooooDooooEDooAAEDooFFoGG", "size": 6, "moves": 5, "solution": ["Bv2", "B<1", "D^1", "E^1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoooooBCCCoooooDooooEDooAAEDooFFoGG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,B<1,D^1,E^1,A>3\n"]}} {"board": "oooBoooooBooAAoBooCoDDDoCoooooCooooo", "size": 6, "moves": 5, "solution": ["A>1", "C^3", "D<2", "Cv3", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoooooBooAAoBooCoDDDoCoooooCooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,C^3,D<2,Cv3,A>3\n"]}} {"board": "AAooBCooooBCDDDoBCEEooFoooooFoooooGG", "size": 6, "moves": 5, "solution": ["Cv1", "G<2", "Fv1", "Bv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAooBCooooBCDDDoBCEEooFoooooFoooooGG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,G<2,Fv1,Bv1,A>4\n"]}} {"board": "AAoooBCCoDDBEFFGGGEHIoooEHIoJJooIooo", "size": 6, "moves": 5, "solution": ["Ev1", "E<1", "F<1", "Bv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoooBCCoDDBEFFGGGEHIoooEHIoJJooIooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,E<1,F<1,Bv1,A>4\n"]}} {"board": "oooooBAAoooBooCCooDEEEFFDoGHHHDoGIII", "size": 6, "moves": 6, "solution": ["A>1", "D^3", "E<1", "F<1", "Cv2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBAAoooBooCCooDEEEFFDoGHHHDoGIII\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,D^3,E<1,F<1,Cv2,A>3\n"]}} {"board": "ooooooooooooBBBoooooooooAACDEoooCDEo", "size": 6, "moves": 5, "solution": ["D^4", "E^4", "D>3", "E^2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooooBBBoooooooooAACDEoooCDEo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^4,E^4,D>3,E^2,A>4\n"]}} {"board": "oAABCDEEoBCDooFFoDoGHHHooGIIIooGoJJJ", "size": 6, "moves": 5, "solution": ["Cv1", "Cv1", "F<1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAABCDEEoBCDooFFoDoGHHHooGIIIooGoJJJ\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Cv1,F<1,Bv1,A>3\n"]}} {"board": "oBBBoCooDooCoEDAACFEGGHHFEooIIFoJJoo", "size": 6, "moves": 7, "solution": ["B>1", "E^2", "G<1", "H<1", "I<1", "Dv3", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBoCooDooCoEDAACFEGGHHFEooIIFoJJoo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nB>1,E^2,G<1,H<1,I<1,Dv3,A>1\n"]}} {"board": "ooBBBooooCoDoAACoDEEoooDooFoooooFGGG", "size": 6, "moves": 5, "solution": ["Cv2", "F^1", "G<1", "Cv2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBooooCoDoAACoDEEoooDooFoooooFGGG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,F^1,G<1,Cv2,A>3\n"]}} {"board": "oooooBoAAooBoCCoooooDEEEooDFFFGGDoHH", "size": 6, "moves": 6, "solution": ["A>2", "C<1", "D^3", "E<1", "Cv2", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoAAooBoCCoooooDEEEooDFFFGGDoHH\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,C<1,D^3,E<1,Cv2,A>1\n"]}} {"board": "oBBBoCoDoAACoDEEoCFooGGGFHIJKKoHIJoo", "size": 6, "moves": 9, "solution": ["B>1", "D^1", "E<1", "F^2", "G<3", "J^2", "K<1", "Dv2", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBoCoDoAACoDEEoCFooGGGFHIJKKoHIJoo\nOptimal length (moves): 9\nReturn only the and blocks.", "\nShortest path found.\n\n\nB>1,D^1,E<1,F^2,G<3,J^2,K<1,Dv2,A>1\n"]}} {"board": "oooBooAACBooDDCoEEoFGGGooFoHHHoooooo", "size": 6, "moves": 6, "solution": ["Fv1", "F>1", "Cv3", "E<3", "Bv2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBooAACBooDDCoEEoFGGGooFoHHHoooooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nFv1,F>1,Cv3,E<3,Bv2,A>4\n"]}} {"board": "ooooBoAACDBoEFCDBoEFCGHHoooGoooooIIo", "size": 6, "moves": 10, "solution": ["C^1", "Ev2", "Ev2", "I>1", "Ev1", "E<4", "Bv2", "Bv2", "Bv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoAACDBoEFCDBoEFCGHHoooGoooooIIo\nOptimal length (moves): 10\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,Ev2,Ev2,I>1,Ev1,E<4,Bv2,Bv2,Bv1,A>4\n"]}} {"board": "BCCCooBooooooDDDooAAoEoooooEoooooEoo", "size": 6, "moves": 6, "solution": ["A>1", "Bv3", "B<1", "C<1", "E^3", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BCCCooBooooooDDDooAAoEoooooEoooooEoo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,Bv3,B<1,C<1,E^3,A>3\n"]}} {"board": "AABoCoooBoCooDBEEEFDoGoHFooGIHFJJoIH", "size": 6, "moves": 7, "solution": ["Dv1", "E^1", "J<1", "Bv3", "D<2", "Bv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AABoCoooBoCooDBEEEFDoGoHFooGIHFJJoIH\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,E^1,J<1,Bv3,D<2,Bv1,A>4\n"]}} {"board": "ooooooooooBoAAooBCDDEFBCooEFGGooEFoo", "size": 6, "moves": 8, "solution": ["C^2", "E^2", "F^2", "G<4", "Cv2", "Cv2", "Cv2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooBoAAooBCDDEFBCooEFGGooEFoo\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,E^2,F^2,G<4,Cv2,Cv2,Cv2,A>4\n"]}} {"board": "BoooCoBoAACoBoDoCooEDFFoGEHHHoGEoIII", "size": 6, "moves": 8, "solution": ["E^3", "H>1", "Ev2", "E<3", "G^2", "H<2", "Dv2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoooCoBoAACoBoDoCooEDFFoGEHHHoGEoIII\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^3,H>1,Ev2,E<3,G^2,H<2,Dv2,A>2\n"]}} {"board": "ooAABoooooBCoDooECoDoFECoooFGGHHHooo", "size": 6, "moves": 5, "solution": ["F^1", "G<2", "Fv1", "Bv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAABoooooBCoDooECoDoFECoooFGGHHHooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,G<2,Fv1,Bv1,A>2\n"]}} {"board": "oBCCCooBDEEEAADoFooGGHFoIIoHFoooJJJo", "size": 6, "moves": 5, "solution": ["C>1", "D^1", "J<1", "Fv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBCCCooBDEEEAADoFooGGHFoIIoHFoooJJJo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC>1,D^1,J<1,Fv1,A>4\n"]}} {"board": "BAACDoBooCDoBEooFFoEGGHoooIIHooooJJJ", "size": 6, "moves": 5, "solution": ["Ev1", "E<3", "Cv1", "Cv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BAACDoBooCDoBEooFFoEGGHoooIIHooooJJJ\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,E<3,Cv1,Cv1,A>3\n"]}} {"board": "BooCDoBAACDoBoooDooEEFFooGGGooooHHHo", "size": 6, "moves": 8, "solution": ["E<1", "F>1", "G<1", "H<2", "Cv4", "E<2", "Cv2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BooCDoBAACDoBoooDooEEFFooGGGooooHHHo\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,F>1,G<1,H<2,Cv4,E<2,Cv2,A>3\n"]}} {"board": "oBCDDDoBCooEAACoFEoooGFooooGHHoIIGoo", "size": 6, "moves": 8, "solution": ["G^2", "H<4", "Ev2", "Ev2", "Ev1", "I<1", "Cv3", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBCDDDoBCooEAACoFEoooGFooooGHHoIIGoo\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nG^2,H<4,Ev2,Ev2,Ev1,I<1,Cv3,A>4\n"]}} {"board": "ooooooooooBCDoEoBCDoEFFFAAEooGoooooG", "size": 6, "moves": 5, "solution": ["C^1", "E^2", "F<1", "G^2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooBCDoEoBCDoEFFFAAEooGoooooG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,E^2,F<1,G^2,A>4\n"]}} {"board": "oooooooBBBoooooCooDDDCEFAAoCEFGGGoEF", "size": 6, "moves": 5, "solution": ["B<1", "C^1", "E^2", "F^2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooBBBoooooCooDDDCEFAAoCEFGGGoEF\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,C^1,E^2,F^2,A>4\n"]}} {"board": "oAAooBooooCBDDooCBEFFGCHEooGoHEooGII", "size": 6, "moves": 5, "solution": ["G^1", "I<1", "Hv1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAooBooooCBDDooCBEFFGCHEooGoHEooGII\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nG^1,I<1,Hv1,Bv1,A>3\n"]}} {"board": "ooooBooAAoBooCCoBooDEEEFGDoooFGDoooF", "size": 6, "moves": 6, "solution": ["A>1", "C>1", "D^3", "E<1", "Cv2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBooAAoBooCCoBooDEEEFGDoooFGDoooF\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,C>1,D^3,E<1,Cv2,A>2\n"]}} {"board": "BCCCooBAADoooooDEEooFGooooFGHHooFIII", "size": 6, "moves": 5, "solution": ["F^1", "I<3", "Gv1", "Dv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BCCCooBAADoooooDEEooFGooooFGHHooFIII\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,I<3,Gv1,Dv1,A>3\n"]}} {"board": "BBBCDoEAACDoEoooDFoGoooFHGIIIFHJJJoo", "size": 6, "moves": 5, "solution": ["Cv2", "G^1", "I<1", "Cv2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBCDoEAACDoEoooDFoGoooFHGIIIFHJJJoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,G^1,I<1,Cv2,A>3\n"]}} {"board": "BCCCooBooDEFoooDEFGAADEoGHHIIIGJJooo", "size": 6, "moves": 5, "solution": ["Bv1", "B<1", "D^1", "E^1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BCCCooBooDEFoooDEFGAADEoGHHIIIGJJooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,B<1,D^1,E^1,A>3\n"]}} {"board": "ooBoooCoBDDDCoBEEECAAooFoooooFooGGoF", "size": 6, "moves": 7, "solution": ["A>2", "G<2", "Bv3", "C<1", "D<1", "F^3", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoooCoBDDDCoBEEECAAooFoooooFooGGoF\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,G<2,Bv3,C<1,D<1,F^3,A>1\n"]}} {"board": "oooBBBCooDDDCEEEFoCAAGFooooGoooooGoo", "size": 6, "moves": 7, "solution": ["B<3", "Cv2", "C<3", "D<1", "E^1", "G^3", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBCooDDDCEEEFoCAAGFooooGoooooGoo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<3,Cv2,C<3,D<1,E^1,G^3,A>3\n"]}} {"board": "ooBBBCooooDCAAooDCEoooDoEoFFGGEoooHH", "size": 6, "moves": 8, "solution": ["A>1", "E^2", "F<2", "G<2", "H<2", "Cv3", "Dv2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBCooooDCAAooDCEoooDoEoFFGGEoooHH\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,E^2,F<2,G<2,H<2,Cv3,Dv2,A>3\n"]}} {"board": "ooooBoAAooBCDEEoBCDFGGoooFoHHHoIIIoo", "size": 6, "moves": 6, "solution": ["Cv1", "D>1", "F^1", "H<2", "Bv2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoAAooBCDEEoBCDFGGoooFoHHHoIIIoo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,D>1,F^1,H<2,Bv2,A>4\n"]}} {"board": "oooooBooAAoBoooCCBoDEooooDEFFFooEGGo", "size": 6, "moves": 5, "solution": ["A>1", "E^2", "F<1", "Bv2", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBooAAoBoooCCBoDEooooDEFFFooEGGo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,E^2,F<1,Bv2,A>1\n"]}} {"board": "oooBBBoCCCDEAAooDEooFFDEGHoIIIGHooJJ", "size": 6, "moves": 7, "solution": ["A>2", "H^2", "I<2", "J<2", "Dv2", "Dv2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBoCCCDEAAooDEooFFDEGHoIIIGHooJJ\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,H^2,I<2,J<2,Dv2,Dv2,A>2\n"]}} {"board": "ooooBoooAABoooooooooCoDDooCooooEEooo", "size": 6, "moves": 5, "solution": ["E<1", "Cv1", "C<2", "Bv2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoooAABoooooooooCoDDooCooooEEooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Cv1,C<2,Bv2,A>2\n"]}} {"board": "ooooBoooooBoAAooBoooCDDEoFCooEoFCooE", "size": 6, "moves": 5, "solution": ["C^3", "D<3", "Bv3", "Bv3", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoooooBoAAooBoooCDDEoFCooEoFCooE\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^3,D<3,Bv3,Bv3,A>4\n"]}} {"board": "oAAooBoooooBoCCooBDooEFFDooEGGDooEoo", "size": 6, "moves": 5, "solution": ["E^3", "F<3", "Bv1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAooBoooooBoCCooBDooEFFDooEGGDooEoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^3,F<3,Bv1,Bv1,A>3\n"]}} {"board": "oBoooooBoCDoAAoCDoEoFoDoEoFGGGEooooo", "size": 6, "moves": 5, "solution": ["C^1", "F^3", "G<2", "Ev2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoooooBoCDoAAoCDoEoFoDoEoFGGGEooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,F^3,G<2,Ev2,A>4\n"]}} {"board": "ooooooBoooooBooCCCDDDoEooAAFEooooFEo", "size": 6, "moves": 5, "solution": ["B^1", "C<3", "E^2", "F^2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooBoooooBooCCCDDDoEooAAFEooooFEo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,C<3,E^2,F^2,A>3\n"]}} {"board": "BBBCCCoAADEoooFDEoGHFDEoGHoIIIJJKKKo", "size": 6, "moves": 6, "solution": ["G^1", "H^1", "I<3", "Dv1", "Dv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBCCCoAADEoooFDEoGHFDEoGHoIIIJJKKKo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nG^1,H^1,I<3,Dv1,Dv1,A>3\n"]}} {"board": "BooCCCBoooDEoAAFDEoooFoEoGGFoooooHHH", "size": 6, "moves": 5, "solution": ["Dv2", "H<3", "Dv2", "Dv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BooCCCBoooDEoAAFDEoooFoEoGGFoooooHHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv2,H<3,Dv2,Dv1,A>3\n"]}} {"board": "ooooBooAAoBooCooooDCEFFFDCEoooGGGooo", "size": 6, "moves": 7, "solution": ["A>1", "C^2", "G>3", "Ev1", "E<2", "Cv2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBooAAoBooCooooDCEFFFDCEoooGGGooo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,C^2,G>3,Ev1,E<2,Cv2,A>2\n"]}} {"board": "oAABCDooEBCDFFEoGDoHEoGooHIIGooHooJJ", "size": 6, "moves": 6, "solution": ["Bv1", "Cv1", "J<2", "Gv1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAABCDooEBCDFFEoGDoHEoGooHIIGooHooJJ\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Cv1,J<2,Gv1,Bv1,A>3\n"]}} {"board": "oBBBooCCCDDDooAAoEFGHooEFGHIIEFGHJJJ", "size": 6, "moves": 5, "solution": ["A>1", "H^1", "J<1", "Fv1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBooCCCDDDooAAoEFGHooEFGHIIEFGHJJJ\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,H^1,J<1,Fv1,A>1\n"]}} {"board": "oBCooooBCooooBoDDDooooooEAAoFoEoooFo", "size": 6, "moves": 5, "solution": ["A>1", "Bv3", "C<2", "F^2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBCooooBCooooBoDDDooooooEAAoFoEoooFo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,Bv3,C<2,F^2,A>2\n"]}} {"board": "oAAoBoooCCBoDDooBooEFFFooEGGGooEoooo", "size": 6, "moves": 6, "solution": ["A>1", "D>2", "E^3", "F<1", "Cv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAoBoooCCBoDDooBooEFFFooEGGGooEoooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,D>2,E^3,F<1,Cv1,A>2\n"]}} {"board": "oBCCCooBoDoooooDooEAADFoEoooFoEGGGHH", "size": 6, "moves": 5, "solution": ["Bv1", "B<2", "D^1", "F^2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBCCCooBoDoooooDooEAADFoEoooFoEGGGHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,B<2,D^1,F^2,A>3\n"]}} {"board": "oBBBCoDoAACoDEooFFoEoGGGoEoHHHIIIoJJ", "size": 6, "moves": 7, "solution": ["F<2", "Cv1", "B>1", "E^2", "G<2", "Ev1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBCoDoAACoDEooFFoEoGGGoEoHHHIIIoJJ\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<2,Cv1,B>1,E^2,G<2,Ev1,A>2\n"]}} {"board": "oBBBoooCoooooCDEooooDEooAAFEooooFoGG", "size": 6, "moves": 5, "solution": ["B>2", "D^2", "E^1", "F^2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBoooCoooooCDEooooDEooAAFEooooFoGG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB>2,D^2,E^1,F^2,A>4\n"]}} {"board": "AAoBCDoooBCDEoFBCoEoFoGGoHFIIJoHoooJ", "size": 6, "moves": 8, "solution": ["Dv1", "E^1", "F^2", "G<4", "Bv1", "Bv1", "Bv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoBCDoooBCDEoFBCoEoFoGGoHFIIJoHoooJ\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,E^1,F^2,G<4,Bv1,Bv1,Bv1,A>4\n"]}} {"board": "ooooooooAABCoDDDBCoooEFFGGGEoooooEoo", "size": 6, "moves": 8, "solution": ["A<1", "D<1", "E^3", "F<3", "Bv2", "Bv1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooAABCoDDDBCoooEFFGGGEoooooEoo\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<1,D<1,E^3,F<3,Bv2,Bv1,Bv1,A>3\n"]}} {"board": "AABoCoooBoCoDDBEFFoooEGoooHHGooIIJJJ", "size": 6, "moves": 7, "solution": ["H<2", "Ev1", "I<1", "Bv3", "D<2", "Bv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AABoCoooBoCoDDBEFFoooEGoooHHGooIIJJJ\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nH<2,Ev1,I<1,Bv3,D<2,Bv1,A>4\n"]}} {"board": "oAABCooooBCoooooDoooooDooooEEEoooooo", "size": 6, "moves": 5, "solution": ["Bv1", "E<2", "Dv1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAABCooooBCoooooDoooooDooooEEEoooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,E<2,Dv1,Bv1,A>3\n"]}} {"board": "BBBoooooAACDooooCDEEooCFGHHIIFGJJKKK", "size": 6, "moves": 10, "solution": ["E>1", "G^2", "H<1", "I<1", "Cv1", "J<1", "K<1", "Gv1", "Cv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBoooooAACDooooCDEEooCFGHHIIFGJJKKK\nOptimal length (moves): 10\nReturn only the and blocks.", "\nShortest path found.\n\n\nE>1,G^2,H<1,I<1,Cv1,J<1,K<1,Gv1,Cv1,A>2\n"]}} {"board": "oooooooooBCoAAoBCooooBCoooDDoooooEEo", "size": 6, "moves": 5, "solution": ["D<1", "E<2", "Bv2", "Bv2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBCoAAoBCooooBCoooDDoooooEEo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,E<2,Bv2,Bv2,A>4\n"]}} {"board": "ooooBoooooBCoAAoBCDooEECDooFooDooFGG", "size": 6, "moves": 6, "solution": ["E<2", "F^1", "G<2", "Bv3", "Bv2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoooooBCoAAoBCDooEECDooFooDooFGG\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<2,F^1,G<2,Bv3,Bv2,A>3\n"]}} {"board": "oooBBBooCoDoAACEDooooEooooFFFGHHoooG", "size": 6, "moves": 5, "solution": ["C^1", "F<2", "Dv2", "Dv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBooCoDoAACEDooooEooooFFFGHHoooG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,F<2,Dv2,Dv1,A>4\n"]}} {"board": "oooBBBooCCCooooDDDoAAEoFoooEoFGGGEoF", "size": 6, "moves": 6, "solution": ["B<3", "C<2", "D<3", "E^3", "F^3", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBooCCCooooDDDoAAEoFoooEoFGGGEoF\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<3,C<2,D<3,E^3,F^3,A>3\n"]}} {"board": "ooBooCAABooCoooooCDDDooooooooooooooo", "size": 6, "moves": 5, "solution": ["D>3", "Bv4", "C<1", "Bv2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBooCAABooCoooooCDDDooooooooooooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD>3,Bv4,C<1,Bv2,A>4\n"]}} {"board": "AAoooBoooooBCooooDCEEooDCooooDoFFFGG", "size": 6, "moves": 5, "solution": ["F<1", "G<1", "Dv1", "Bv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoooBoooooBCooooDCEEooDCooooDoFFFGG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,G<1,Dv1,Bv1,A>4\n"]}} {"board": "oooooooooBBBoooooooAACDEoooCDEoFFCDE", "size": 6, "moves": 5, "solution": ["B<3", "C^3", "D^3", "E^3", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBBBoooooooAACDEoooCDEoFFCDE\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<3,C^3,D^3,E^3,A>3\n"]}} {"board": "oBBBoCDAAoECDooFECDGGFooooHIIIooHooo", "size": 6, "moves": 7, "solution": ["D^1", "Ev1", "G<1", "H^2", "I<1", "Dv2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBoCDAAoECDooFECDGGFooooHIIIooHooo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,Ev1,G<1,H^2,I<1,Dv2,A>3\n"]}} {"board": "oBCCCooBDDDooAAEooFooEGGFHIEJJoHIKKK", "size": 6, "moves": 5, "solution": ["H^1", "I^1", "K<3", "Ev1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBCCCooBDDDooAAEooFooEGGFHIEJJoHIKKK\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nH^1,I^1,K<3,Ev1,A>3\n"]}} {"board": "ooBBBooooooCoAAoDCooEoDCFFEGHHooEGoo", "size": 6, "moves": 6, "solution": ["B<2", "D^2", "G^4", "H<1", "Ev2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBooooooCoAAoDCooEoDCFFEGHHooEGoo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,D^2,G^4,H<1,Ev2,A>3\n"]}} {"board": "BBBooCoDoAACEDFFoCEDGHooIoGHJJIoGoKK", "size": 6, "moves": 6, "solution": ["Dv2", "E<1", "H^1", "J<1", "Cv2", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBooCoDoAACEDFFoCEDGHooIoGHJJIoGoKK\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv2,E<1,H^1,J<1,Cv2,A>1\n"]}} {"board": "oBBBoCoAAooCoooDDDEFFGHHEooGIIEooGoo", "size": 6, "moves": 9, "solution": ["B<1", "D<3", "G^3", "H<1", "I<3", "Dv4", "G>1", "Cv2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBoCoAAooCoooDDDEFFGHHEooGIIEooGoo\nOptimal length (moves): 9\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,D<3,G^3,H<1,I<3,Dv4,G>1,Cv2,A>3\n"]}} {"board": "AAoBCoooDBCEFFDBCEooDGGEoHHIIIoJJJoo", "size": 6, "moves": 6, "solution": ["D^1", "G<3", "Bv1", "Bv1", "Bv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoBCoooDBCEFFDBCEooDGGEoHHIIIoJJJoo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,G<3,Bv1,Bv1,Bv1,A>4\n"]}} {"board": "ooBoooooBCCCooooooDAAoEoDoooEoDoooEo", "size": 6, "moves": 6, "solution": ["D^3", "A<1", "Cv4", "C<2", "D^3", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoooooBCCCooooooDAAoEoDoooEoDoooEo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^3,A<1,Cv4,C<2,D^3,A>4\n"]}} {"board": "ooooBCooDoBCAADooCooDoooEEoFFFoooooo", "size": 6, "moves": 6, "solution": ["Dv2", "A>3", "D^2", "F<1", "Cv3", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBCooDoBCAADooCooDoooEEoFFFoooooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv2,A>3,D^2,F<1,Cv3,A>1\n"]}} {"board": "BBBoCooDAACooDooooEDoFFFEGoooooGoHHo", "size": 6, "moves": 6, "solution": ["Cv1", "B>2", "C^1", "F<2", "Dv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBoCooDAACooDooooEDoFFFEGoooooGoHHo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,B>2,C^1,F<2,Dv1,A>2\n"]}} {"board": "oooBBBooCDDDEoCAAFEGooHFEGooHIooJJHI", "size": 6, "moves": 5, "solution": ["B<1", "Cv1", "C<1", "F^2", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBooCDDDEoCAAFEGooHFEGooHIooJJHI\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,Cv1,C<1,F^2,A>1\n"]}} {"board": "oooBoooooBoooooCCCAAoDoEoooDoEFFFGGE", "size": 6, "moves": 5, "solution": ["C<1", "E^3", "G>1", "Ev1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoooooBoooooCCCAAoDoEoooDoEFFFGGE\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,E^3,G>1,Ev1,A>4\n"]}} {"board": "BBBoooCoooooCoDEEECoDoFGooAAFGooooFG", "size": 6, "moves": 6, "solution": ["B>3", "D^2", "E<2", "F^2", "G^2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBoooCoooooCoDEEECoDoFGooAAFGooooFG\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nB>3,D^2,E<2,F^2,G^2,A>2\n"]}} {"board": "AABoCDooBoCDEEooCDoooFFFooGoHIJJGoHI", "size": 6, "moves": 5, "solution": ["Bv1", "F<2", "Bv1", "Bv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AABoCDooBoCDEEooCDoooFFFooGoHIJJGoHI\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,F<2,Bv1,Bv1,A>4\n"]}} {"board": "BooCCCBoDDDEFoGGGEFoooHEIIIoHJooAAHJ", "size": 6, "moves": 6, "solution": ["C<1", "E^1", "G<1", "H^1", "J^1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BooCCCBoDDDEFoGGGEFoooHEIIIoHJooAAHJ\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,E^1,G<1,H^1,J^1,A>2\n"]}} {"board": "oBCDDDoBCooEoBoAAEFFGooEoHGoIIoHGJJJ", "size": 6, "moves": 5, "solution": ["G^1", "I<1", "J<1", "Ev2", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBCDDDoBCooEoBoAAEFFGooEoHGoIIoHGJJJ\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nG^1,I<1,J<1,Ev2,A>1\n"]}} {"board": "BooooCBooooCBDoAACEDFFGGEDoHHoEoIIoo", "size": 6, "moves": 5, "solution": ["D^2", "F<1", "G<1", "Dv3", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BooooCBooooCBDoAACEDFFGGEDoHHoEoIIoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,F<1,G<1,Dv3,A>1\n"]}} {"board": "AABCooooBCDDooEEEooooooooooFFFoooGGG", "size": 6, "moves": 5, "solution": ["E>1", "Bv3", "D<3", "Bv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AABCooooBCDDooEEEooooooooooFFFoooGGG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE>1,Bv3,D<3,Bv1,A>4\n"]}} {"board": "oooBBBAACDooooCDEoFGHHEoFGIooJFGIKKJ", "size": 6, "moves": 13, "solution": ["E^1", "F^1", "G^1", "H>1", "I^1", "K<3", "Hv1", "H<1", "Ev3", "G>2", "Cv1", "Cv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBAACDooooCDEoFGHHEoFGIooJFGIKKJ\nOptimal length (moves): 13\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,F^1,G^1,H>1,I^1,K<3,Hv1,H<1,Ev3,G>2,Cv1,Cv1,A>4\n"]}} {"board": "oAABoCDooBoCDEEEoFGooooFGoooHFGIIoHo", "size": 6, "moves": 6, "solution": ["D^1", "E<1", "Cv1", "Fv1", "Cv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAABoCDooBoCDEEEoFGooooFGoooHFGIIoHo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E<1,Cv1,Fv1,Cv1,A>3\n"]}} {"board": "oooAABoooCoBDDoCoEFFFooEoooGGEoHHHII", "size": 6, "moves": 5, "solution": ["H<1", "I<1", "Ev1", "Bv1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooAABoooCoBDDoCoEFFFooEoooGGEoHHHII\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nH<1,I<1,Ev1,Bv1,A>1\n"]}} {"board": "oooooBoAAoCBooooCoooDDCoooEFFFooEooo", "size": 6, "moves": 6, "solution": ["Bv2", "D<2", "E^2", "F<2", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoAAoCBooooCoooDDCoooEFFFooEooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,D<2,E^2,F<2,Bv1,A>3\n"]}} {"board": "BCDEEEBCDooFBCoGoFoAAGoFHooIIIHooJJJ", "size": 6, "moves": 5, "solution": ["Dv1", "D<1", "F^1", "G^1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BCDEEEBCDooFBCoGoFoAAGoFHooIIIHooJJJ\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,D<1,F^1,G^1,A>3\n"]}} {"board": "oBBBooooCDDDooCEEEFoCooGFooAAGFooooG", "size": 6, "moves": 5, "solution": ["Cv2", "C<1", "D<1", "G^2", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBooooCDDDooCEEEFoCooGFooAAGFooooG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,C<1,D<1,G^2,A>1\n"]}} {"board": "AABoCDooBoCDooBooDEoFFooEGooooEGoHHH", "size": 6, "moves": 5, "solution": ["Cv1", "Cv1", "F>1", "Bv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AABoCDooBoCDooBooDEoFFooEGooooEGoHHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Cv1,F>1,Bv1,A>4\n"]}} {"board": "oBBBooCooDDDCooooooooEoooAAEFooooEFo", "size": 6, "moves": 5, "solution": ["Cv1", "C<3", "E^2", "F^2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBooCooDDDCooooooooEoooAAEFooooEFo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,C<3,E^2,F^2,A>3\n"]}} {"board": "oooooooooooooBBBooooooooAACDooooCDoo", "size": 6, "moves": 5, "solution": ["B<1", "D^4", "C>3", "D^2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooooBBBooooooooAACDooooCDoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,D^4,C>3,D^2,A>4\n"]}} {"board": "ooooBoooooBoAAooBoooCoDDooCoEEoooooo", "size": 6, "moves": 5, "solution": ["C^3", "D<2", "E<2", "Cv3", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoooooBoAAooBoooCoDDooCoEEoooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^3,D<2,E<2,Cv3,A>4\n"]}} {"board": "oAAooBooCDDBEoCFGBEHoFGIEHJFGIoHJKKK", "size": 6, "moves": 5, "solution": ["J^1", "K<1", "Jv1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAooBooCDDBEoCFGBEHoFGIEHJFGIoHJKKK\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nJ^1,K<1,Jv1,Bv1,A>3\n"]}} {"board": "ooAAoBooCCCBoooooBDEoFGGDEoFHHDEIIoo", "size": 6, "moves": 5, "solution": ["C<2", "F^2", "G<1", "Bv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAAoBooCCCBoooooBDEoFGGDEoFHHDEIIoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,F^2,G<1,Bv1,A>2\n"]}} {"board": "oooooBoooooBoooCDBAAoCDEFFGCDEooGoHH", "size": 6, "moves": 5, "solution": ["C^2", "D^2", "H<1", "Ev1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoooooBoooCDBAAoCDEFFGCDEooGoHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,D^2,H<1,Ev1,A>4\n"]}} {"board": "AAooBooCCoBooDoEEEoDFGGGHHFIoJKKFIoJ", "size": 6, "moves": 6, "solution": ["A>2", "C>1", "D^2", "E<2", "Cv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAooBooCCoBooDoEEEoDFGGGHHFIoJKKFIoJ\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,C>1,D^2,E<2,Cv1,A>2\n"]}} {"board": "AAoBCDoooBCDEEEBCFGoHooFGoHoIIGoHJJJ", "size": 6, "moves": 6, "solution": ["Bv1", "Bv1", "I<1", "Fv1", "Bv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoBCDoooBCDEEEBCFGoHooFGoHoIIGoHJJJ\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,I<1,Fv1,Bv1,A>4\n"]}} {"board": "ooBBBooCCCooDDDEoFoAAEGFHIIEGFHJJJGo", "size": 6, "moves": 6, "solution": ["B<2", "C<1", "E^2", "F^2", "G^3", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBooCCCooDDDEoFoAAEGFHIIEGFHJJJGo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,C<1,E^2,F^2,G^3,A>3\n"]}} {"board": "ooAABCoooDBCoEEDBCoooDFFGGGooHooIIIH", "size": 6, "moves": 7, "solution": ["A<1", "D^1", "F<3", "Bv1", "Bv1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAABCoooDBCoEEDBCoooDFFGGGooHooIIIH\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<1,D^1,F<3,Bv1,Bv1,Bv1,A>3\n"]}} {"board": "oooBoCAAoBoCDoooooDEoFFFDEGHHHooGooo", "size": 6, "moves": 7, "solution": ["A>1", "D^2", "Ev1", "E<3", "Cv2", "Cv2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoCAAoBoCDoooooDEoFFFDEGHHHooGooo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,D^2,Ev1,E<3,Cv2,Cv2,A>3\n"]}} {"board": "BoooCoBoAACoBoDEEoooDFGoooDFGooooooo", "size": 6, "moves": 5, "solution": ["Dv1", "D<1", "Gv1", "Cv2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoooCoBoAACoBoDEEoooDFGoooDFGooooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,D<1,Gv1,Cv2,A>2\n"]}} {"board": "oooAABoooCoBoooCDDEooCooEFGGGoEFoHHH", "size": 6, "moves": 8, "solution": ["E^2", "F^2", "G<2", "H<3", "Dv2", "E<1", "Bv1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooAABoooCoBoooCDDEooCooEFGGGoEFoHHH\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^2,F^2,G<2,H<3,Dv2,E<1,Bv1,A>1\n"]}} {"board": "oAABoooooBooCooBDDCEEFoGHIIFJGHKKKJG", "size": 6, "moves": 6, "solution": ["C^1", "H^1", "K<1", "Gv1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAABoooooBooCooBDDCEEFoGHIIFJGHKKKJG\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,H^1,K<1,Gv1,Bv1,A>3\n"]}} {"board": "ooBoooAABooCoooooCDEFFGoDEHHGoDEooGo", "size": 6, "moves": 12, "solution": ["Cv1", "G^3", "G>1", "Bv2", "A>2", "E^2", "F^2", "H<2", "Ev2", "F<1", "Bv2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoooAABooCoooooCDEFFGoDEHHGoDEooGo\nOptimal length (moves): 12\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,G^3,G>1,Bv2,A>2,E^2,F^2,H<2,Ev2,F<1,Bv2,A>2\n"]}} {"board": "BoooCDBoAACDBooooooEFFGGHEoIIIHEoooo", "size": 6, "moves": 6, "solution": ["E^3", "F<2", "G<2", "Dv2", "Dv2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoooCDBoAACDBooooooEFFGGHEoIIIHEoooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^3,F<2,G<2,Dv2,Dv2,A>2\n"]}} {"board": "ooBCCCooBoooooooDoooAADEooooDEoFFooE", "size": 6, "moves": 5, "solution": ["Bv1", "B<2", "D^2", "E^3", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBCCCooBoooooooDoooAADEooooDEoFFooE\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,B<2,D^2,E^3,A>2\n"]}} {"board": "BoooooBoooooooCDDDEFCGoHEFoGIHAAoGIH", "size": 6, "moves": 6, "solution": ["C^2", "D<3", "G^1", "H^1", "I^1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoooooBoooooooCDDDEFCGoHEFoGIHAAoGIH\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,D<3,G^1,H^1,I^1,A>4\n"]}} {"board": "ooAABCoDEEBCoDooBCFDoGGGFoHoIIooHJJo", "size": 6, "moves": 5, "solution": ["D^1", "G<2", "Cv1", "Cv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAABCoDEEBCoDooBCFDoGGGFoHoIIooHJJo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,G<2,Cv1,Cv1,A>2\n"]}} {"board": "oBBBoCAAoooCDDDooooooEFFoooEGHoooEGH", "size": 6, "moves": 6, "solution": ["B<1", "E^3", "F<3", "Cv2", "Cv2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBoCAAoooCDDDooooooEFFoooEGHoooEGH\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,E^3,F<3,Cv2,Cv2,A>4\n"]}} {"board": "ooooBooAAoBoooooCCoDoEEEoDoooooDoFFF", "size": 6, "moves": 6, "solution": ["A>1", "C<2", "D^3", "E<2", "Cv2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBooAAoBoooooCCoDoEEEoDoooooDoFFF\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,C<2,D^3,E<2,Cv2,A>2\n"]}} {"board": "AAoBCooDDBCoooEFGHooEFGHooEFooooIIoo", "size": 6, "moves": 6, "solution": ["Gv1", "Cv1", "I<1", "Fv1", "Bv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoBCooDDBCoooEFGHooEFGHooEFooooIIoo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nGv1,Cv1,I<1,Fv1,Bv1,A>4\n"]}} {"board": "ooooooooBoooAABooCooBooCooDDDCooEEoo", "size": 6, "moves": 9, "solution": ["C^1", "D>1", "E<2", "Bv2", "A>3", "C^2", "D<1", "Cv2", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooBoooAABooCooBooCooDDDCooEEoo\nOptimal length (moves): 9\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D>1,E<2,Bv2,A>3,C^2,D<1,Cv2,A>1\n"]}} {"board": "AAoBooCooBDDCooBEECooFFFGHoooIGHJJJI", "size": 6, "moves": 5, "solution": ["A>1", "C^1", "F<3", "Cv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoBooCooBDDCooBEECooFFFGHoooIGHJJJI\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,C^1,F<3,Cv1,A>3\n"]}} {"board": "oBCDDDoBCEEEFBoGGGFoAAoHFoooIHoJJJIH", "size": 6, "moves": 7, "solution": ["A>1", "Cv3", "C<1", "D<1", "F<1", "H^3", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBCDDDoBCEEEFBoGGGFoAAoHFoooIHoJJJIH\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,Cv3,C<1,D<1,F<1,H^3,A>1\n"]}} {"board": "oBoCCCDBEEEoDoooFGDAAoFGHIJJFGHIoKKK", "size": 6, "moves": 7, "solution": ["A>1", "Bv2", "B<2", "D<1", "F^2", "G^2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoCCCDBEEEoDoooFGDAAoFGHIJJFGHIoKKK\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,Bv2,B<2,D<1,F^2,G^2,A>2\n"]}} {"board": "oooooooBCCCooBooDooBooDoAAooDoooooEE", "size": 6, "moves": 5, "solution": ["A>2", "Bv1", "B<1", "D^1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooBCCCooBooDooBooDoAAooDoooooEE\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,Bv1,B<1,D^1,A>2\n"]}} {"board": "AAoBoCDooBoCDoEEECDoooFFooGGGooooooo", "size": 6, "moves": 6, "solution": ["Dv2", "D<2", "Bv1", "F<1", "Bv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoBoCDooBoCDoEEECDoooFFooGGGooooooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv2,D<2,Bv1,F<1,Bv1,A>4\n"]}} {"board": "ooBCCCooBoooooDDDEAAoooEoooFoEoooFoo", "size": 6, "moves": 7, "solution": ["Ev1", "D>1", "Bv4", "B<1", "C<1", "D^3", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBCCCooBoooooDDDEAAoooEoooFoEoooFoo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,D>1,Bv4,B<1,C<1,D^3,A>4\n"]}} {"board": "BBBooCDAAooCDEEooCDFFFGGHoooIIHooJJJ", "size": 6, "moves": 7, "solution": ["B>1", "D^1", "F<1", "G<1", "I<1", "Dv2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBooCDAAooCDEEooCDFFFGGHoooIIHooJJJ\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nB>1,D^1,F<1,G<1,I<1,Dv2,A>3\n"]}} {"board": "AABoooooBCooooBCooDoEEEFDooGGFDooHHF", "size": 6, "moves": 8, "solution": ["F^3", "F>1", "Bv1", "A>3", "C^1", "F<1", "Cv1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AABoooooBCooooBCooDoEEEFDooGGFDooHHF\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^3,F>1,Bv1,A>3,C^1,F<1,Cv1,A>1\n"]}} {"board": "BooAACBooDDCBEEooCoooFGGoooFoooooFoo", "size": 6, "moves": 7, "solution": ["A<2", "D<2", "F^3", "G<3", "Cv1", "Cv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BooAACBooDDCBEEooCoooFGGoooFoooooFoo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<2,D<2,F^3,G<3,Cv1,Cv1,A>3\n"]}} {"board": "oBCDDDEBCooFEBAAoFEGGGHHIIoJJKoooooK", "size": 6, "moves": 5, "solution": ["A>1", "Cv1", "C<1", "F^1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBCDDDEBCooFEBAAoFEGGGHHIIoJJKoooooK\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,Cv1,C<1,F^1,A>1\n"]}} {"board": "ooooBoooAABooCoooooCDDEEFFooGoHHHoGo", "size": 6, "moves": 5, "solution": ["C^1", "D<2", "E<2", "Bv2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoooAABooCoooooCDDEEFFooGoHHHoGo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D<2,E<2,Bv2,A>2\n"]}} {"board": "oooBCDoAABCDooEEoDFooGGGFHoIIoFHoJJJ", "size": 6, "moves": 7, "solution": ["E<1", "F^3", "G<3", "Cv2", "Cv2", "Cv2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBCDoAABCDooEEoDFooGGGFHoIIoFHoJJJ\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,F^3,G<3,Cv2,Cv2,Cv2,A>3\n"]}} {"board": "BooCooBDoCoooDEEEoooFFFGAAooHGoIIoHG", "size": 6, "moves": 6, "solution": ["D^1", "E<1", "F<1", "G^2", "H^2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BooCooBDoCoooDEEEoooFFFGAAooHGoIIoHG\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E<1,F<1,G^2,H^2,A>4\n"]}} {"board": "oooAABooCCoBoooooBoDEFFFoDEooooDEooo", "size": 6, "moves": 5, "solution": ["C<2", "E^3", "F<1", "Cv1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooAABooCCoBoooooBoDEFFFoDEooooDEooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,E^3,F<1,Cv1,A>1\n"]}} {"board": "ooooBoAAooBoooCCDDoEoFFFoEGHooooGHoo", "size": 6, "moves": 6, "solution": ["C<2", "D<2", "Ev1", "E<2", "Bv2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoAAooBoooCCDDoEoFFFoEGHooooGHoo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,D<2,Ev1,E<2,Bv2,A>4\n"]}} {"board": "ooAABoooooBoooooBoooCDEEooCDFFooCDoo", "size": 6, "moves": 8, "solution": ["A<2", "C^3", "D^3", "E<4", "Bv1", "Bv1", "Bv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAABoooooBoooooBoooCDEEooCDFFooCDoo\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<2,C^3,D^3,E<4,Bv1,Bv1,Bv1,A>4\n"]}} {"board": "oAAoBCDDDEBCoFoEBCoFGHHoIFGJJJIKKKoo", "size": 6, "moves": 6, "solution": ["Cv1", "K>2", "Gv1", "G<1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAoBCDDDEBCoFoEBCoFGHHoIFGJJJIKKKoo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,K>2,Gv1,G<1,Bv1,A>3\n"]}} {"board": "oooBBBCoDDDoCooEEEAAooFGooHoFGIIHoFG", "size": 6, "moves": 6, "solution": ["B<2", "D<1", "E<2", "F^3", "G^3", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBCoDDDoCooEEEAAooFGooHoFGIIHoFG\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,D<1,E<2,F^3,G^3,A>4\n"]}} {"board": "BBBooooooooCooDooCAADooCoEDFFooEoooo", "size": 6, "moves": 7, "solution": ["B>3", "D^2", "A>3", "Bv1", "B<1", "D^1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBooooooooCooDooCAADooCoEDFFooEoooo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nB>3,D^2,A>3,Bv1,B<1,D^1,A>1\n"]}} {"board": "oAAoBoCoooBoCDDEEFoGHHHFoGooIIoGoooo", "size": 6, "moves": 5, "solution": ["C^1", "D<1", "E<1", "Cv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAoBoCoooBoCDDEEFoGHHHFoGooIIoGoooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D<1,E<1,Cv1,A>3\n"]}} {"board": "ooBBBCooDooCooDAACooDoEEFGGoHHFIIJJJ", "size": 6, "moves": 7, "solution": ["E<1", "F^1", "H<1", "I<1", "J<1", "Cv3", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBCooDooCooDAACooDoEEFGGoHHFIIJJJ\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,F^1,H<1,I<1,J<1,Cv3,A>1\n"]}} {"board": "AAoooBCoDooBCoDooBCoDEEEoFFFooGGGoHH", "size": 6, "moves": 5, "solution": ["A>3", "D^1", "E<1", "Cv1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoooBCoDooBCoDooBCoDEEEoFFFooGGGoHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>3,D^1,E<1,Cv1,A>1\n"]}} {"board": "ooooBooCCCBoAAooBooooooooDoEEEoDoooo", "size": 6, "moves": 5, "solution": ["A>2", "D^2", "E<2", "Bv3", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBooCCCBoAAooBooooooooDoEEEoDoooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,D^2,E<2,Bv3,A>2\n"]}} {"board": "oooooBooAAoBCCCoDDoEEFFFGGGooHoooIIH", "size": 6, "moves": 5, "solution": ["D<1", "E<1", "F<1", "Bv2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBooAAoBCCCoDDoEEFFFGGGooHoooIIH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,E<1,F<1,Bv2,A>2\n"]}} {"board": "oooooooooBBBoooCooAADCoEooDooEooDooE", "size": 6, "moves": 7, "solution": ["Cv2", "C^3", "A>3", "Bv2", "B<1", "D^3", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBBBoooCooAADCoEooDooEooDooE\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,C^3,A>3,Bv2,B<1,D^3,A>1\n"]}} {"board": "ooooBoooooBooAAoBoooCoooooCDDDooEEEo", "size": 6, "moves": 6, "solution": ["A<1", "C^3", "D<2", "E<1", "Cv3", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoooooBooAAoBoooCoooooCDDDooEEEo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<1,C^3,D<2,E<1,Cv3,A>4\n"]}} {"board": "oooBoCAAoBDCoEEoDCFooGGGFHHIIIFooJJJ", "size": 6, "moves": 9, "solution": ["A>1", "F^3", "G<3", "Cv2", "Dv1", "H<1", "I<1", "Cv2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoCAAoBDCoEEoDCFooGGGFHHIIIFooJJJ\nOptimal length (moves): 9\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,F^3,G<3,Cv2,Dv1,H<1,I<1,Cv2,A>3\n"]}} {"board": "BCCCDoBAAoDoooooDooEoFFooEGHHHoEGooo", "size": 6, "moves": 10, "solution": ["A>1", "F<1", "Dv1", "C>1", "E^3", "F<2", "G^2", "H<2", "Ev1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BCCCDoBAAoDoooooDooEoFFooEGHHHoEGooo\nOptimal length (moves): 10\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,F<1,Dv1,C>1,E^3,F<2,G^2,H<2,Ev1,A>2\n"]}} {"board": "ooBAACoDBEECFDGHHCFIGJJJoIoKKKoILLLo", "size": 6, "moves": 5, "solution": ["L>1", "Gv2", "I<1", "Cv1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBAACoDBEECFDGHHCFIGJJJoIoKKKoILLLo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nL>1,Gv2,I<1,Cv1,A>1\n"]}} {"board": "ooooooAAooBCoDooBCoDEEECFFooooooooGG", "size": 6, "moves": 6, "solution": ["A>2", "Cv1", "C^1", "E<1", "Cv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooAAooBCoDooBCoDEEECFFooooooooGG\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,Cv1,C^1,E<1,Cv1,A>2\n"]}} {"board": "oooBBBoooCDooAACDoooooDoEEooFFGGoooo", "size": 6, "moves": 5, "solution": ["B<3", "C^1", "F<2", "Dv2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBoooCDooAACDoooooDoEEooFFGGoooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<3,C^1,F<2,Dv2,A>3\n"]}} {"board": "ooooooBCooooBCooDoooEoDFooEoGFAAEoGF", "size": 6, "moves": 5, "solution": ["D^1", "E^1", "F^1", "G^1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooBCooooBCooDoooEoDFooEoGFAAEoGF\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E^1,F^1,G^1,A>4\n"]}} {"board": "oBoCCCoBooooAAoooDoEEFoDoooFoDoooFGG", "size": 6, "moves": 5, "solution": ["F^1", "G<3", "Dv1", "Dv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoCCCoBooooAAoooDoEEFoDoooFoDoooFGG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,G<3,Dv1,Dv1,A>4\n"]}} {"board": "ooAABCDDDoBCEFFGGoEHoooIoHJKKIoHJooI", "size": 6, "moves": 6, "solution": ["Cv1", "Ev1", "E<1", "F<1", "Bv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAABCDDDoBCEFFGGoEHoooIoHJKKIoHJooI\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Ev1,E<1,F<1,Bv1,A>2\n"]}} {"board": "ooooBoooooBoAACoBoooCDDoooCEEooooooo", "size": 6, "moves": 6, "solution": ["C^2", "D<3", "E<3", "Bv3", "Bv3", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoooooBoAACoBoooCDDoooCEEooooooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,D<3,E<3,Bv3,Bv3,A>4\n"]}} {"board": "ooooBoCDDDBoCAAoBoCoEEEoFFooGGoooHHo", "size": 6, "moves": 5, "solution": ["E<1", "G<2", "H<1", "Bv3", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoCDDDBoCAAoBoCoEEEoFFooGGoooHHo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,G<2,H<1,Bv3,A>3\n"]}} {"board": "ooAABCDDoEBCoooEFFGGGooooooHHHIIJJoo", "size": 6, "moves": 6, "solution": ["H<3", "Ev2", "E<2", "Bv1", "Bv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAABCDDoEBCoooEFFGGGooooooHHHIIJJoo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nH<3,Ev2,E<2,Bv1,Bv1,A>2\n"]}} {"board": "ooBoooAABCooooBCoooDDDoEoooooEFFFooE", "size": 6, "moves": 10, "solution": ["D<1", "Cv3", "D^3", "D>3", "Bv2", "A>3", "C^2", "D<1", "Cv2", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoooAABCooooBCoooDDDoEoooooEFFFooE\nOptimal length (moves): 10\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Cv3,D^3,D>3,Bv2,A>3,C^2,D<1,Cv2,A>1\n"]}} {"board": "ooooooooBoooooBCCCooBooDoAAooDoooooo", "size": 6, "moves": 5, "solution": ["A>2", "Bv2", "B<1", "D^1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooBoooooBCCCooBooDoAAooDoooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,Bv2,B<1,D^1,A>1\n"]}} {"board": "BCCCoDBoAAoDBoEEoDooooFFoGGGHHIIIooo", "size": 6, "moves": 5, "solution": ["F<1", "G<1", "H<1", "Dv2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BCCCoDBoAAoDBoEEoDooooFFoGGGHHIIIooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,G<1,H<1,Dv2,A>2\n"]}} {"board": "oooBBBAACoooooCoDDEoCFFFEGHHIooGooIo", "size": 6, "moves": 5, "solution": ["E^1", "G^2", "H<2", "Cv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBAACoooooCoDDEoCFFFEGHHIooGooIo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,G^2,H<2,Cv1,A>4\n"]}} {"board": "ooBCCCooBDDDoooooEoFAAoEoFoooEoFoooo", "size": 6, "moves": 6, "solution": ["A>1", "Bv2", "B<1", "C<1", "E^2", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBCCCooBDDDoooooEoFAAoEoFoooEoFoooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,Bv2,B<1,C<1,E^2,A>1\n"]}} {"board": "ooooooBoCDDDBoCEEEFoGGGoFAAoHoFoooHo", "size": 6, "moves": 5, "solution": ["C^1", "E<2", "G<1", "H^2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooBoCDDDBoCEEEFoGGGoFAAoHoFoooHo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,E<2,G<1,H^2,A>3\n"]}} {"board": "oooBoCoAABDCEEEoDoooFFFoooooGGoHHHoo", "size": 6, "moves": 5, "solution": ["Cv2", "F<2", "Bv2", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoCoAABDCEEEoDoooFFFoooooGGoHHHoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,F<2,Bv2,Bv1,A>3\n"]}} {"board": "BoooCDBooECDBAAECoFGHHooFGooIIFGJJJo", "size": 6, "moves": 7, "solution": ["E^1", "A>1", "G^1", "I<2", "J<1", "Dv3", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoooCDBooECDBAAECoFGHHooFGooIIFGJJJo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,A>1,G^1,I<2,J<1,Dv3,A>2\n"]}} {"board": "BBBCCCoDDDEoooAAEoFooGEoFooGooFooGHH", "size": 6, "moves": 6, "solution": ["A<1", "G^1", "H<3", "Ev2", "Ev1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBCCCoDDDEoooAAEoFooGEoFooGooFooGHH\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<1,G^1,H<3,Ev2,Ev1,A>3\n"]}} {"board": "ooooBoooooBoAAooBoooooCCooooDDooooEE", "size": 6, "moves": 5, "solution": ["C<2", "D<2", "E<2", "Bv3", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoooooBoAAooBoooooCCooooDDooooEE\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,D<2,E<2,Bv3,A>4\n"]}} {"board": "ooooBooAACBoDEECFFDoooGoDHooGooHIIIo", "size": 6, "moves": 9, "solution": ["Cv2", "Cv1", "C<1", "D<2", "H^1", "I<1", "Hv1", "Bv2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBooAACBoDEECFFDoooGoDHooGooHIIIo\nOptimal length (moves): 9\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,Cv1,C<1,D<2,H^1,I<1,Hv1,Bv2,A>3\n"]}} {"board": "oBBBCoAAooCoooooCoDooEEEDoFGGHDoFooH", "size": 6, "moves": 8, "solution": ["A>1", "D^2", "F^2", "G<3", "Ev2", "E<2", "Cv2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBCoAAooCoooooCoDooEEEDoFGGHDoFooH\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,D^2,F^2,G<3,Ev2,E<2,Cv2,A>3\n"]}} {"board": "BAAoCoBDDDCoEFGHHHEFGIIJoooKKJLLLooJ", "size": 6, "moves": 5, "solution": ["Fv1", "Fv1", "F<2", "Cv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BAAoCoBDDDCoEFGHHHEFGIIJoooKKJLLLooJ\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nFv1,Fv1,F<2,Cv1,A>3\n"]}} {"board": "oooooooBCCCooBooDoEAAoDoEFoGGGEFoHHH", "size": 6, "moves": 5, "solution": ["A>1", "Bv1", "B<1", "D^1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooBCCCooBooDoEAAoDoEFoGGGEFoHHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,Bv1,B<1,D^1,A>2\n"]}} {"board": "BooCCCBooDEoBAADEooFFFoGHIJJoGHIoKKK", "size": 6, "moves": 5, "solution": ["Bv1", "B<3", "D^1", "E^1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BooCCCBooDEoBAADEooFFFoGHIJJoGHIoKKK\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,B<3,D^1,E^1,A>3\n"]}} {"board": "BCCCDoBAAoDoBoEoFFooEGGGooHHHoooIIoo", "size": 6, "moves": 7, "solution": ["H>1", "I<2", "Ev2", "E<2", "F<2", "Dv2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BCCCDoBAAoDoBoEoFFooEGGGooHHHoooIIoo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nH>1,I<2,Ev2,E<2,F<2,Dv2,A>3\n"]}} {"board": "oooooooooBBBoooCoooooCoDoAACEDFFFoED", "size": 6, "moves": 5, "solution": ["B<3", "C^1", "D^2", "E^2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBBBoooCoooooCoDoAACEDFFFoED\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<3,C^1,D^2,E^2,A>3\n"]}} {"board": "oooooBoAAoCBooooCoDEFGGoDEFoooDEFHHH", "size": 6, "moves": 10, "solution": ["Bv2", "A<1", "E^1", "F^3", "G<1", "H<2", "Cv3", "F>1", "Bv2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoAAoCBooooCoDEFGGoDEFoooDEFHHH\nOptimal length (moves): 10\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A<1,E^1,F^3,G<1,H<2,Cv3,F>1,Bv2,A>4\n"]}} {"board": "ooBCCCAABooDEoooFDEGHHFIJGooFIJGooKK", "size": 6, "moves": 11, "solution": ["Bv1", "B<2", "F^2", "H>1", "Dv3", "G<1", "Cv2", "K<1", "Hv1", "Cv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBCCCAABooDEoooFDEGHHFIJGooFIJGooKK\nOptimal length (moves): 11\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,B<2,F^2,H>1,Dv3,G<1,Cv2,K<1,Hv1,Cv1,A>4\n"]}} {"board": "BBBoCoooooCooAAoCoooooooooDEEoooDFFo", "size": 6, "moves": 7, "solution": ["A<1", "D^2", "E<3", "Dv1", "F<1", "Cv3", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBoCoooooCooAAoCoooooooooDEEoooDFFo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<1,D^2,E<3,Dv1,F<1,Cv3,A>4\n"]}} {"board": "oooooBooCAABDDCooBEooFGGEHHFoooooIII", "size": 6, "moves": 5, "solution": ["I<3", "Fv1", "F<1", "Bv2", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBooCAABDDCooBEooFGGEHHFoooooIII\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nI<3,Fv1,F<1,Bv2,A>1\n"]}} {"board": "ooBoooooBoooooCoooAACoDEFFFoDEoGGGoE", "size": 6, "moves": 6, "solution": ["D^2", "E^3", "F>3", "G>2", "Ev2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoooooBoooooCoooAACoDEFFFoDEoGGGoE\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,E^3,F>3,G>2,Ev2,A>4\n"]}} {"board": "BoooooBCDDDoBCooEooCooEooAAoEooooooo", "size": 6, "moves": 5, "solution": ["A>1", "Cv1", "C<1", "E^1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoooooBCDDDoBCooEooCooEooAAoEooooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,Cv1,C<1,E^1,A>2\n"]}} {"board": "BBBoooooooCoooAACoooooCooDoEEEoDoFFF", "size": 6, "moves": 5, "solution": ["D^2", "E<2", "F<2", "Cv2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBoooooooCoooAACoooooCooDoEEEoDoFFF\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,E<2,F<2,Cv2,A>2\n"]}} {"board": "oooooooBBBooooooooooCDDDooCAAEooCooE", "size": 6, "moves": 5, "solution": ["B>2", "C^3", "D<1", "E^2", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooBBBooooooooooCDDDooCAAEooCooE\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB>2,C^3,D<1,E^2,A>1\n"]}} {"board": "BCoooDBCoAADBooooDEFGoHHEFGIIIEFGJJJ", "size": 6, "moves": 5, "solution": ["G^2", "H<1", "I<1", "Dv2", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BCoooDBCoAADBooooDEFGoHHEFGIIIEFGJJJ\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nG^2,H<1,I<1,Dv2,A>1\n"]}} {"board": "ooooooAAoBoCoooBoCDEEFGCDHHFGoDIIIoo", "size": 6, "moves": 6, "solution": ["Cv1", "D^1", "I<1", "Fv1", "Bv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooAAoBoCoooBoCDEEFGCDHHFGoDIIIoo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,D^1,I<1,Fv1,Bv1,A>4\n"]}} {"board": "oAAoBoooooBooCCoBoDEoFFFDEooooDEoooo", "size": 6, "moves": 6, "solution": ["A>1", "C>1", "E^3", "F<2", "Cv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAoBoooooBooCCoBoDEoFFFDEooooDEoooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,C>1,E^3,F<2,Cv1,A>2\n"]}} {"board": "oooBBBCoAADECoooDECFGGHHoFIIooJJJKKK", "size": 6, "moves": 7, "solution": ["C^1", "F^2", "G<2", "H<2", "Ev1", "Ev1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBCoAADECoooDECFGGHHoFIIooJJJKKK\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,F^2,G<2,H<2,Ev1,Ev1,A>2\n"]}} {"board": "oBBBCDAAooCDoooooDoEoFFFGEoHHoGEoooo", "size": 6, "moves": 8, "solution": ["Cv1", "B>1", "A>2", "E^3", "F<2", "Dv2", "Dv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBCDAAooCDoooooDoEoFFFGEoHHoGEoooo\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,B>1,A>2,E^3,F<2,Dv2,Dv1,A>2\n"]}} {"board": "ooooBoooooBoooAABooCooDDoCoooEoCFFFE", "size": 6, "moves": 5, "solution": ["C^1", "D<2", "F<1", "Bv3", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoooooBoooAABooCooDDoCoooEoCFFFE\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D<2,F<1,Bv3,A>2\n"]}} {"board": "ooooooooooooAAoooBooCDEBFFCDEBoooDGG", "size": 6, "moves": 5, "solution": ["D^1", "G<3", "Bv1", "Bv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooooAAoooBooCDEBFFCDEBoooDGG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,G<3,Bv1,Bv1,A>4\n"]}} {"board": "AAooBCDDoEBCoFGEoHoFGEoHoFGIIHoooJJJ", "size": 6, "moves": 5, "solution": ["Bv1", "J<1", "Hv1", "Bv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAooBCDDoEBCoFGEoHoFGEoHoFGIIHoooJJJ\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,J<1,Hv1,Bv1,A>4\n"]}} {"board": "ooooooooBCCCDoBEEEDFAAoGoFoooGoFHHoG", "size": 6, "moves": 6, "solution": ["A>1", "Bv2", "B<1", "D<1", "G^3", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooBCCCDoBEEEDFAAoGoFoooGoFHHoG\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,Bv2,B<1,D<1,G^3,A>1\n"]}} {"board": "ooBoooooBoCDAABoCDooooCooooEEooooooo", "size": 6, "moves": 5, "solution": ["D^1", "E<3", "Bv3", "Cv2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoooooBoCDAABoCDooooCooooEEooooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E<3,Bv3,Cv2,A>4\n"]}} {"board": "oBBBoooooooCAAoooCDDEooCooEoooooEFFF", "size": 6, "moves": 5, "solution": ["A>3", "E^1", "F<1", "Cv2", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBoooooooCAAoooCDDEooCooEoooooEFFF\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>3,E^1,F<1,Cv2,A>1\n"]}} {"board": "ooooooAAoooBoooooBCDDEFFCooEooCooEoo", "size": 6, "moves": 6, "solution": ["E^3", "F<1", "Cv3", "E>1", "Bv2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooAAoooBoooooBCDDEFFCooEooCooEoo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^3,F<1,Cv3,E>1,Bv2,A>4\n"]}} {"board": "AABooooCBooDoCBooDoEEEoDoooooooooFFF", "size": 6, "moves": 8, "solution": ["D^1", "E>2", "Bv1", "A>3", "D^1", "E<1", "Cv1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AABooooCBooDoCBooDoEEEoDoooooooooFFF\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E>2,Bv1,A>3,D^1,E<1,Cv1,A>1\n"]}} {"board": "oBBBCoAADoCooEDFFFGEDooHGEoIIHGooooH", "size": 6, "moves": 5, "solution": ["Dv2", "Dv1", "D<2", "Cv2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBCoAADoCooEDFFFGEDooHGEoIIHGooooH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv2,Dv1,D<2,Cv2,A>4\n"]}} {"board": "ooooBCAAoDBCEooDBCEooDoooFGoHHoFGIII", "size": 6, "moves": 7, "solution": ["F^2", "G^2", "H<3", "Bv2", "Bv2", "Bv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBCAAoDBCEooDBCEooDoooFGoHHoFGIII\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^2,G^2,H<3,Bv2,Bv2,Bv1,A>4\n"]}} {"board": "ooooooAABoooooBoooooBooCoDDDoCEEEooC", "size": 6, "moves": 8, "solution": ["C^2", "D>2", "Bv1", "A>3", "C^1", "D<1", "Cv1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooAABoooooBoooooBooCoDDDoCEEEooC\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,D>2,Bv1,A>3,C^1,D<1,Cv1,A>1\n"]}} {"board": "AABCooDoBCoEDFFGoEoHHGoEIIoJJoKKKooo", "size": 6, "moves": 8, "solution": ["H<1", "J>1", "Gv1", "F>2", "Bv3", "E<2", "Bv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AABCooDoBCoEDFFGoEoHHGoEIIoJJoKKKooo\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nH<1,J>1,Gv1,F>2,Bv3,E<2,Bv1,A>4\n"]}} {"board": "AAoBCooooBCDoEEFCDooGFoDooGFoooHHHoo", "size": 6, "moves": 5, "solution": ["Cv1", "H<1", "Fv1", "Bv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoBCooooBCDoEEFCDooGFoDooGFoooHHHoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,H<1,Fv1,Bv1,A>4\n"]}} {"board": "oBBBoooAAoCDooooCDoEFFFDoEooGGooHHHo", "size": 6, "moves": 6, "solution": ["Ev1", "E<1", "Cv1", "G<1", "Cv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBoooAAoCDooooCDoEFFFDoEooGGooHHHo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,E<1,Cv1,G<1,Cv1,A>3\n"]}} {"board": "BooCDoBAACDooooCooooooooooEFFFooEoGG", "size": 6, "moves": 5, "solution": ["Dv2", "E^2", "F<3", "Cv2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BooCDoBAACDooooCooooooooooEFFFooEoGG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv2,E^2,F<3,Cv2,A>3\n"]}} {"board": "ooooBoAAooBoooooBoooooCCoDDoEEoooooo", "size": 6, "moves": 5, "solution": ["C<2", "D<1", "E<2", "Bv2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoAAooBoooooBoooooCCoDDoEEoooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,D<1,E<2,Bv2,A>4\n"]}} {"board": "ooBCCCooBoooooDoooAADEooFFoEoooooEoo", "size": 6, "moves": 5, "solution": ["Dv2", "Bv1", "B<3", "D^3", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBCCCooBoooooDoooAADEooFFoEoooooEoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv2,Bv1,B<3,D^3,A>4\n"]}} {"board": "ooBCCCDoBooEDFFFoEAAoooEoooooooooooo", "size": 6, "moves": 7, "solution": ["Ev2", "E>2", "Bv4", "B<1", "D<1", "E^3", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBCCCDoBooEDFFFoEAAoooEoooooooooooo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv2,E>2,Bv4,B<1,D<1,E^3,A>4\n"]}} {"board": "ooBoCoooBoCooAAoCooDoEEEoDoooooDoooo", "size": 6, "moves": 5, "solution": ["A>1", "D^3", "E<2", "Dv3", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoCoooBoCooAAoCooDoEEEoDoooooDoooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,D^3,E<2,Dv3,A>2\n"]}} {"board": "AAooBoCoDDBoCEoFBoCEGFHHooGIIoJJooKK", "size": 6, "moves": 6, "solution": ["D<1", "F^1", "Gv1", "G<2", "Bv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAooBoCoDDBoCEoFBoCEGFHHooGIIoJJooKK\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,F^1,Gv1,G<2,Bv1,A>4\n"]}} {"board": "ooBCCCooBDDDAAoooEoFFGoEHHoGIIoJJGKK", "size": 6, "moves": 6, "solution": ["F<1", "Bv3", "B<1", "C<1", "D^2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBCCCooBDDDAAoooEoFFGoEHHoGIIoJJGKK\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Bv3,B<1,C<1,D^2,A>4\n"]}} {"board": "ooooooooooBoCoooBoCDDDEoCAAFEoGGoFoo", "size": 6, "moves": 6, "solution": ["B^1", "C^2", "D<1", "E^1", "F^2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooBoCoooBoCDDDEoCAAFEoGGoFoo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,C^2,D<1,E^1,F^2,A>3\n"]}} {"board": "ooBoCoooBoCooAAoCooooDDooEEEoooFFoGG", "size": 6, "moves": 5, "solution": ["D<1", "F<1", "G<2", "Cv3", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoCoooBoCooAAoCooooDDooEEEoooFFoGG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,F<1,G<2,Cv3,A>3\n"]}} {"board": "ooooooAABoooooBCCCoDDDoEFooooEFooGGG", "size": 6, "moves": 5, "solution": ["G<1", "Ev1", "D>2", "Bv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooAABoooooBCCCoDDDoEFooooEFooGGG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,Ev1,D>2,Bv1,A>4\n"]}} {"board": "oBBBCooAADCEoooDoEFoGDooFoGHHHFoIIJJ", "size": 6, "moves": 7, "solution": ["Cv2", "Dv1", "F^2", "G^1", "H<3", "Dv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBCooAADCEoooDoEFoGDooFoGHHHFoIIJJ\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,Dv1,F^2,G^1,H<3,Dv1,A>3\n"]}} {"board": "oooBBBoAAoCDooEECDFGGGCHFIIooHooJJKK", "size": 6, "moves": 6, "solution": ["Cv1", "J<1", "K<1", "Hv1", "Cv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBoAAoCDooEECDFGGGCHFIIooHooJJKK\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,J<1,K<1,Hv1,Cv1,A>3\n"]}} {"board": "ooooooooBBBCDDDEoCoooEoCFFFGHIoAAGHI", "size": 6, "moves": 7, "solution": ["B<2", "C^1", "E^1", "G^1", "H^1", "I^1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooBBBCDDDEoCoooEoCFFFGHIoAAGHI\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,C^1,E^1,G^1,H^1,I^1,A>3\n"]}} {"board": "ooBooCDoBAACDoBEoCFooEGGFHHHoooooIII", "size": 6, "moves": 8, "solution": ["D^1", "F^1", "H<1", "I<3", "Fv2", "F<1", "Dv2", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBooCDoBAACDoBEoCFooEGGFHHHoooooIII\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,F^1,H<1,I<3,Fv2,F<1,Dv2,A>1\n"]}} {"board": "BoooooBoooCDEEEFCDooGFCoAAGFoooooooo", "size": 6, "moves": 9, "solution": ["Cv2", "C^1", "Ev1", "D>3", "E^3", "E<3", "F^2", "G^2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoooooBoooCDEEEFCDooGFCoAAGFoooooooo\nOptimal length (moves): 9\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,C^1,Ev1,D>3,E^3,E<3,F^2,G^2,A>4\n"]}} {"board": "AABCoooDBCooEDBFFFEDoooooooooooooGGo", "size": 6, "moves": 6, "solution": ["Bv3", "Cv2", "Cv1", "C<3", "Bv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AABCoooDBCooEDBFFFEDoooooooooooooGGo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv3,Cv2,Cv1,C<3,Bv1,A>4\n"]}} {"board": "oooooBCAAooBCoooooCoDEEEFFDoooooDGGG", "size": 6, "moves": 5, "solution": ["A>2", "D^3", "E<1", "Cv2", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBCAAooBCoooooCoDEEEFFDoooooDGGG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,D^3,E<1,Cv2,A>1\n"]}} {"board": "BoCCCDBooooDooEooDAAEoooooEoooooFFFo", "size": 6, "moves": 8, "solution": ["Dv1", "C>1", "E^2", "A>3", "Cv1", "C<1", "E^1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoCCCDBooooDooEooDAAEoooooEoooooFFFo\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,C>1,E^2,A>3,Cv1,C<1,E^1,A>1\n"]}} {"board": "BoooooBoAAoCBooooCDEFGGCDEFHHHDoFooo", "size": 6, "moves": 5, "solution": ["A>1", "F^2", "H<1", "Dv1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoooooBoAAoCBooooCDEFGGCDEFHHHDoFooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,F^2,H<1,Dv1,A>1\n"]}} {"board": "ooBBBooooooooAACDEoooCDEooFFoooGGHHH", "size": 6, "moves": 5, "solution": ["B<2", "C^2", "D^2", "E^2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBooooooooAACDEoooCDEooFFoooGGHHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,C^2,D^2,E^2,A>3\n"]}} {"board": "oBBBoCoooDoCoAADoCEFGGooEFoHHoEFoIII", "size": 6, "moves": 5, "solution": ["B<1", "D^1", "I<1", "Dv3", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBoCoooDoCoAADoCEFGGooEFoHHoEFoIII\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,D^1,I<1,Dv3,A>3\n"]}} {"board": "ooooBooAAoBoooooBoCDDEEoCoooooCFFooo", "size": 6, "moves": 5, "solution": ["C^3", "D<1", "E<1", "Cv2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBooAAoBoooooBoCDDEEoCoooooCFFooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^3,D<1,E<1,Cv2,A>3\n"]}} {"board": "oBBBCoooAACoDDooooEoFGGGEoFooHEoFooH", "size": 6, "moves": 9, "solution": ["Cv1", "B>2", "A<2", "F^3", "G<2", "Dv3", "F>2", "Bv2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBCoooAACoDDooooEoFGGGEoFooHEoFooH\nOptimal length (moves): 9\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,B>2,A<2,F^3,G<2,Dv3,F>2,Bv2,A>4\n"]}} {"board": "BBBooooCoooooCoDDDoooEoFoooEGFoAAEGo", "size": 6, "moves": 5, "solution": ["Cv2", "C<3", "E^1", "G^1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBooooCoooooCoDDDoooEoFoooEGFoAAEGo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,C<3,E^1,G^1,A>3\n"]}} {"board": "BBBooCooooDCAAooDoEFFFDoEoGHooEoGHII", "size": 6, "moves": 14, "solution": ["B>1", "D^1", "A>1", "E^3", "F<1", "H^3", "G>3", "H^1", "I<4", "Gv1", "G<3", "Dv3", "Ev2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBooCooooDCAAooDoEFFFDoEoGHooEoGHII\nOptimal length (moves): 14\nReturn only the and blocks.", "\nShortest path found.\n\n\nB>1,D^1,A>1,E^3,F<1,H^3,G>3,H^1,I<4,Gv1,G<3,Dv3,Ev2,A>3\n"]}} {"board": "oooooooooBBBooCDDDAACoEoooooEFoGGGEF", "size": 6, "moves": 8, "solution": ["B<2", "Cv1", "C<2", "E^3", "F^3", "G>2", "Fv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBBBooCDDDAACoEoooooEFoGGGEF\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,Cv1,C<2,E^3,F^3,G>2,Fv1,A>4\n"]}} {"board": "ooBBBoAAooCDoooECDoFFEGHIooEGHIooooo", "size": 6, "moves": 5, "solution": ["Gv1", "Cv1", "Gv1", "Cv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBoAAooCDoooECDoFFEGHIooEGHIooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nGv1,Cv1,Gv1,Cv1,A>4\n"]}} {"board": "ooooBoooooBooAAoBooCoooooCoDDDoooooo", "size": 6, "moves": 5, "solution": ["A>1", "C^1", "D<2", "Bv3", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoooooBooAAoBooCoooooCoDDDoooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,C^1,D<2,Bv3,A>2\n"]}} {"board": "ooAABCooooBCoDoEEEoDooFoGDooFoGoooFo", "size": 6, "moves": 5, "solution": ["Dv1", "D<2", "Bv1", "Bv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAABCooooBCoDoEEEoDooFoGDooFoGoooFo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,D<2,Bv1,Bv1,A>2\n"]}} {"board": "ooAAoBCooooBCoDDDBCEEEFFoGGHHHIIJJoo", "size": 6, "moves": 5, "solution": ["C^1", "E<1", "F<1", "Cv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAAoBCooooBCoDDDBCEEEFFoGGHHHIIJJoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,E<1,F<1,Cv1,A>2\n"]}} {"board": "ooooooAAoooBooCDDBooCEEEFFGGGoHHHIII", "size": 6, "moves": 5, "solution": ["A>3", "C^1", "E<1", "Cv1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooAAoooBooCDDBooCEEEFFGGGoHHHIII\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>3,C^1,E<1,Cv1,A>1\n"]}} {"board": "BooooCBoAAoCBooDEEFGGDooFooHHHFooIIo", "size": 6, "moves": 6, "solution": ["A<1", "D^2", "E<3", "Cv2", "Cv2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BooooCBoAAoCBooDEEFGGDooFooHHHFooIIo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<1,D^2,E<3,Cv2,Cv2,A>3\n"]}} {"board": "oooBBBCCCoDEoAAFDEGGoFooHHIJJJKKILLo", "size": 6, "moves": 5, "solution": ["B<3", "D^1", "E^1", "F^2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBCCCoDEoAAFDEGGoFooHHIJJJKKILLo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<3,D^1,E^1,F^2,A>3\n"]}} {"board": "AAoBCDoooBCDoEEoCoFooGGGFoHHIIFooJJJ", "size": 6, "moves": 5, "solution": ["Bv1", "Cv1", "G<2", "Bv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoBCDoooBCDoEEoCoFooGGGFoHHIIFooJJJ\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Cv1,G<2,Bv1,A>4\n"]}} {"board": "oBBBooooCoooAACoDEooooDEoFFFDEooooGG", "size": 6, "moves": 6, "solution": ["B>2", "C^1", "G<2", "Dv1", "Dv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBooooCoooAACoDEooooDEoFFFDEooooGG\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nB>2,C^1,G<2,Dv1,Dv1,A>4\n"]}} {"board": "oooAABCCCDoBEEoDFFoGoHHHIGJJooIGKKoo", "size": 6, "moves": 8, "solution": ["A<2", "D^1", "F<1", "H<1", "Cv3", "E>1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooAABCCCDoBEEoDFFoGoHHHIGJJooIGKKoo\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<2,D^1,F<1,H<1,Cv3,E>1,Bv1,A>3\n"]}} {"board": "ooooBoAAooBCoooooCDoEEFFDGGGoooooooo", "size": 6, "moves": 6, "solution": ["Dv1", "D<2", "E<2", "Bv2", "Bv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoAAooBCoooooCDoEEFFDGGGoooooooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,D<2,E<2,Bv2,Bv1,A>4\n"]}} {"board": "oAABoCoooBoCoooBoDoooooDooooEEoooFFo", "size": 6, "moves": 5, "solution": ["Bv1", "E<1", "Dv1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAABoCoooBoCoooBoDoooooDooooEEoooFFo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,E<1,Dv1,Bv1,A>3\n"]}} {"board": "oooooBooCCCBAAoooBoDEEFFoDoooooDooGG", "size": 6, "moves": 7, "solution": ["A>2", "D^3", "E<1", "F<1", "G<1", "Cv3", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBooCCCBAAoooBoDEEFFoDoooooDooGG\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,D^3,E<1,F<1,G<1,Cv3,A>2\n"]}} {"board": "BooCDoBooCDooAAoDoEEFFoooGoHHHoGoIII", "size": 6, "moves": 10, "solution": ["A>1", "F>2", "E>2", "G^3", "F<2", "G<2", "H<2", "I<2", "Dv3", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BooCDoBooCDooAAoDoEEFFoooGoHHHoGoIII\nOptimal length (moves): 10\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,F>2,E>2,G^3,F<2,G<2,H<2,I<2,Dv3,A>2\n"]}} {"board": "oBoCCCoBoDDDEBoFFFEooAAGEHHooGIIJJJG", "size": 6, "moves": 5, "solution": ["C<1", "D<1", "F<1", "G^3", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoCCCoBoDDDEBoFFFEooAAGEHHooGIIJJJG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,D<1,F<1,G^3,A>1\n"]}} {"board": "BoooCDBEEECDBAAooDoFoGGoHFIJJJHFIooo", "size": 6, "moves": 5, "solution": ["A>2", "I^2", "J<1", "Dv3", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoooCDBEEECDBAAooDoFoGGoHFIJJJHFIooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,I^2,J<1,Dv3,A>1\n"]}} {"board": "oAAoBCDDooBCoEEEBoFoooGHFoooGHFoIIIH", "size": 6, "moves": 5, "solution": ["Cv1", "I<1", "Gv1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAoBCDDooBCoEEEBoFoooGHFoooGHFoIIIH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,I<1,Gv1,Bv1,A>3\n"]}} {"board": "ooooBoAAooBoooooooooCDDDooCoooooCooo", "size": 6, "moves": 6, "solution": ["C^3", "D<2", "Cv4", "C>2", "Bv2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoAAooBoooooooooCDDDooCoooooCooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^3,D<2,Cv4,C>2,Bv2,A>4\n"]}} {"board": "oooBBBoCoooooCDDDooooooooAAEFooooEFo", "size": 6, "moves": 5, "solution": ["C^1", "D<2", "E^2", "F^2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBoCoooooCDDDooooooooAAEFooooEFo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D<2,E^2,F^2,A>3\n"]}} {"board": "oBBBCooooDCooAADCEoFFGoEHHHGoIoooGoI", "size": 6, "moves": 5, "solution": ["B<1", "Cv3", "C^1", "D^2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBCooooDCooAADCEoFFGoEHHHGoIoooGoI\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,Cv3,C^1,D^2,A>3\n"]}} {"board": "oooBBBooCoDoAACoDooECooooEFFFooEGGGo", "size": 6, "moves": 6, "solution": ["B<2", "D^1", "F>1", "G>1", "Dv2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBooCoDoAACoDooECooooEFFFooEGGGo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,D^1,F>1,G>1,Dv2,A>4\n"]}} {"board": "ooAABCoDDDBCooooBCEooFGGEHoFoooHoIII", "size": 6, "moves": 6, "solution": ["D<1", "F^2", "G<2", "Bv1", "Bv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAABCoDDDBCooooBCEooFGGEHoFoooHoIII\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,F^2,G<2,Bv1,Bv1,A>2\n"]}} {"board": "oBBBoooooooCAAooDCoEooDCFEooooFEGGHH", "size": 6, "moves": 7, "solution": ["A>2", "D^2", "E^1", "G<1", "H<1", "Dv2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBoooooooCAAooDCoEooDCFEooooFEGGHH\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,D^2,E^1,G<1,H<1,Dv2,A>2\n"]}} {"board": "ooooooBAAooCBDDDoCEEoFGGHHHFIooooFIo", "size": 6, "moves": 8, "solution": ["B^1", "D<1", "F^3", "G<1", "Dv3", "F>1", "Cv2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooBAAooCBDDDoCEEoFGGHHHFIooooFIo\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,D<1,F^3,G<1,Dv3,F>1,Cv2,A>3\n"]}} {"board": "oooooBAAooCBDDDoCBEoFFFoEGGoHHEooooo", "size": 6, "moves": 5, "solution": ["F<1", "Cv1", "H<1", "Bv2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBAAooCBDDDoCBEoFFFoEGGoHHEooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Cv1,H<1,Bv2,A>4\n"]}} {"board": "BoooCoBAADCooEFDGGoEFDHHoooIIoooJJJo", "size": 6, "moves": 14, "solution": ["Ev1", "Ev1", "I>1", "J<2", "Dv2", "D<3", "G^3", "J>3", "Fv1", "Fv1", "F<3", "Cv2", "Cv2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoooCoBAADCooEFDGGoEFDHHoooIIoooJJJo\nOptimal length (moves): 14\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,Ev1,I>1,J<2,Dv2,D<3,G^3,J>3,Fv1,Fv1,F<3,Cv2,Cv2,A>3\n"]}} {"board": "BoCoooBoCoooAACoooDDDooEoFFooEoooooE", "size": 6, "moves": 9, "solution": ["E^3", "E>3", "F<1", "Cv3", "A>3", "D^3", "E<1", "Dv3", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoCoooBoCoooAACoooDDDooEoFFooEoooooE\nOptimal length (moves): 9\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^3,E>3,F<1,Cv3,A>3,D^3,E<1,Dv3,A>1\n"]}} {"board": "ooBoCoAABoCDoEEoCDFoooooFoGGHHoooIII", "size": 6, "moves": 9, "solution": ["Dv1", "F^1", "G<2", "H<2", "I<2", "Cv3", "D>2", "Bv2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoCoAABoCDoEEoCDFoooooFoGGHHoooIII\nOptimal length (moves): 9\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,F^1,G<2,H<2,I<2,Cv3,D>2,Bv2,A>4\n"]}} {"board": "ooAABCDEooBCDEoFFFGEHHIoGoJJIKGooooK", "size": 6, "moves": 5, "solution": ["Ev2", "E<2", "Bv1", "Bv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAABCDEooBCDEoFFFGEHHIoGoJJIKGooooK\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv2,E<2,Bv1,Bv1,A>2\n"]}} {"board": "ooooBoooooBooCAABoDCoEEEDCFFooDooGGG", "size": 6, "moves": 5, "solution": ["C^2", "E<2", "G<2", "Cv3", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoooooBooCAABoDCoEEEDCFFooDooGGG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,E<2,G<2,Cv3,A>2\n"]}} {"board": "oooBBBAAooCoDDooCooEoFGGoEoFoHoEIIIH", "size": 6, "moves": 7, "solution": ["D>2", "E^1", "I<2", "Fv1", "F<2", "Cv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBAAooCoDDooCooEoFGGoEoFoHoEIIIH\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nD>2,E^1,I<2,Fv1,F<2,Cv1,A>4\n"]}} {"board": "ooooBoAAooBoCCooooooDEFFoGDEoooGDEoo", "size": 6, "moves": 7, "solution": ["D^3", "E^3", "F<4", "Bv2", "Bv2", "Bv2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoAAooBoCCooooooDEFFoGDEoooGDEoo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^3,E^3,F<4,Bv2,Bv2,Bv2,A>4\n"]}} {"board": "BBBoCDooooCDoooEooAAFEooGGFHHHooFIII", "size": 6, "moves": 6, "solution": ["Cv1", "Cv1", "B>3", "E^1", "F^3", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBoCDooooCDoooEooAAFEooGGFHHHooFIII\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Cv1,B>3,E^1,F^3,A>4\n"]}} {"board": "ooBCCCooBoDoAABoDooooEEEooooooooFFFo", "size": 6, "moves": 5, "solution": ["F>1", "Bv3", "B<2", "C^1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBCCCooBoDoAABoDooooEEEooooooooFFFo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nF>1,Bv3,B<2,C^1,A>4\n"]}} {"board": "ooAABoCoDDBoCoooBoCooEFFoooEoooooEGG", "size": 6, "moves": 7, "solution": ["A<1", "D<1", "E^3", "F<3", "Bv1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAABoCoDDBoCoooBoCooEFFoooEoooooEGG\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<1,D<1,E^3,F<3,Bv1,Bv1,A>3\n"]}} {"board": "oBBBoCAAoooCoDDEEEoFFGGGoHIIJKoHLLJK", "size": 6, "moves": 6, "solution": ["D<1", "E<1", "F<1", "G<1", "Cv2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBoCAAoooCoDDEEEoFFGGGoHIIJKoHLLJK\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,E<1,F<1,G<1,Cv2,A>4\n"]}} {"board": "BBBooCAAoDoCoEEDFFGoooooGHHIIIGoJJJo", "size": 6, "moves": 10, "solution": ["A>1", "D^1", "F<1", "G^2", "H<1", "I<1", "Dv3", "F>1", "Cv2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBooCAAoDoCoEEDFFGoooooGHHIIIGoJJJo\nOptimal length (moves): 10\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,D^1,F<1,G^2,H<1,I<1,Dv3,F>1,Cv2,A>3\n"]}} {"board": "oooooBCooooBCAAooBooDoooEEDFFFooDGGo", "size": 6, "moves": 5, "solution": ["A>2", "D^2", "F<1", "Bv3", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBCooooBCAAooBooDoooEEDFFFooDGGo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,D^2,F<1,Bv3,A>1\n"]}} {"board": "oooBBBoCDDDooCoEEEoCFooGooFooGAAFooG", "size": 6, "moves": 6, "solution": ["F^1", "A>3", "Ev1", "E<1", "G^1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBoCDDDooCoEEEoCFooGooFooGAAFooG\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,A>3,Ev1,E<1,G^1,A>1\n"]}} {"board": "oBBBoCDoAAECDFFFEGoooHHGooooIooJJJIo", "size": 6, "moves": 5, "solution": ["Gv2", "Cv2", "G<1", "Dv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBoCDoAAECDFFFEGoooHHGooooIooJJJIo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nGv2,Cv2,G<1,Dv1,A>2\n"]}} {"board": "ooBoCoAABoCDoEEEoDoooFFFooGoHHooGooo", "size": 6, "moves": 13, "solution": ["D^1", "E>2", "G^2", "H<4", "Ev2", "E<2", "F<2", "Cv4", "Cv4", "C>2", "D>2", "Bv2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoCoAABoCDoEEEoDoooFFFooGoHHooGooo\nOptimal length (moves): 13\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E>2,G^2,H<4,Ev2,E<2,F<2,Cv4,Cv4,C>2,D>2,Bv2,A>4\n"]}} {"board": "BBBCoooAACoooDEFFFoDEoooGGEooooHHoII", "size": 6, "moves": 9, "solution": ["A<1", "E^1", "G>3", "Ev1", "H<1", "Dv2", "D<3", "Cv2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBCoooAACoooDEFFFoDEoooGGEooooHHoII\nOptimal length (moves): 9\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<1,E^1,G>3,Ev1,H<1,Dv2,D<3,Cv2,A>4\n"]}} {"board": "AAoBCooooBCDEoFFGDEHIoGJEHIKoJoHIKoJ", "size": 6, "moves": 5, "solution": ["F<1", "Bv1", "Gv1", "Bv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoBCooooBCDEoFFGDEHIoGJEHIKoJoHIKoJ\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Bv1,Gv1,Bv1,A>4\n"]}} {"board": "BBBoCoooooCoDoEEEoDooFoGDooFHGAAoFHG", "size": 6, "moves": 7, "solution": ["G^1", "H^1", "A>1", "Dv1", "D<2", "G^1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBoCoooooCoDoEEEoDooFoGDooFHGAAoFHG\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nG^1,H^1,A>1,Dv1,D<2,G^1,A>3\n"]}} {"board": "BAAooCBDDEoCBooEFFGGHIoJoKHIoJoKHIoJ", "size": 6, "moves": 5, "solution": ["E^1", "F<3", "Cv1", "Cv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BAAooCBDDEoCBooEFFGGHIoJoKHIoJoKHIoJ\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,F<3,Cv1,Cv1,A>3\n"]}} {"board": "oBBBCDooAACDooEEEoFoGGGoFHHoIIFooJJJ", "size": 6, "moves": 5, "solution": ["Dv2", "D<1", "G<1", "Cv2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBCDooAACDooEEEoFoGGGoFHHoIIFooJJJ\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv2,D<1,G<1,Cv2,A>2\n"]}} {"board": "BCoDDDBCoEEEFCGGGoFAAoHoooooHIooJJHI", "size": 6, "moves": 7, "solution": ["A>1", "Cv3", "C<2", "D<2", "F<1", "H^3", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BCoDDDBCoEEEFCGGGoFAAoHoooooHIooJJHI\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,Cv3,C<2,D<2,F<1,H^3,A>2\n"]}} {"board": "oooBooAAoBoCDDEEoCFoGooCFoGoHHooGoII", "size": 6, "moves": 6, "solution": ["H<1", "I<1", "Cv2", "D>2", "Bv2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBooAAoBoCDDEEoCFoGooCFoGoHHooGoII\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nH<1,I<1,Cv2,D>2,Bv2,A>4\n"]}} {"board": "ooooBCAAooBCooDoBoooDoooooDoEEooFFoo", "size": 6, "moves": 6, "solution": ["Cv2", "C^1", "E<4", "Bv2", "Bv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBCAAooBCooDoBoooDoooooDoEEooFFoo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,C^1,E<4,Bv2,Bv1,A>4\n"]}} {"board": "ooBooCooBooCoooAACoDEEFFoDoooooDoooo", "size": 6, "moves": 5, "solution": ["D^3", "E<1", "F<1", "Dv3", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBooCooBooCoooAACoDEEFFoDoooooDoooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^3,E<1,F<1,Dv3,A>1\n"]}} {"board": "BBBooCDooAACDEEEFFGHIoJJGHIKLoGHIKLo", "size": 6, "moves": 7, "solution": ["B>1", "D^1", "E<1", "F<1", "J<1", "Dv2", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBooCDooAACDEEEFFGHIoJJGHIKLoGHIKLo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nB>1,D^1,E<1,F<1,J<1,Dv2,A>1\n"]}} {"board": "oooAABooCDDBEECFFFooCGGGHHIIIooJJooo", "size": 6, "moves": 6, "solution": ["I>1", "J<1", "Cv2", "E<1", "Bv1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooAABooCDDBEECFFFooCGGGHHIIIooJJooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nI>1,J<1,Cv2,E<1,Bv1,A>1\n"]}} {"board": "oooBBBCooDoECoFDoECoFoGooAAoGHooooGH", "size": 6, "moves": 5, "solution": ["B<1", "E^1", "G^2", "H^2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBCooDoECoFDoECoFoGooAAoGHooooGH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,E^1,G^2,H^2,A>3\n"]}} {"board": "ooooooAABCDoooBCDooooCEEoooooooFFooo", "size": 6, "moves": 6, "solution": ["C^1", "E<4", "Bv2", "Bv1", "Bv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooAABCDoooBCDooooCEEoooooooFFooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,E<4,Bv2,Bv1,Bv1,A>4\n"]}} {"board": "BAACoDBooCEDBFFGEDooHGooooHGoooooIII", "size": 6, "moves": 5, "solution": ["Dv1", "I<3", "Gv1", "Cv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BAACoDBooCEDBFFGEDooHGooooHGoooooIII\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,I<3,Gv1,Cv1,A>3\n"]}} {"board": "oAAooBoCoooBoCoooBDCEFFFDGEoooDGEooo", "size": 6, "moves": 5, "solution": ["A>2", "E^3", "F<1", "Cv1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAooBoCoooBoCoooBDCEFFFDGEoooDGEooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,E^3,F<1,Cv1,A>1\n"]}} {"board": "oooooBoooooBooAAoCDDEooCooEooCooEFFF", "size": 6, "moves": 5, "solution": ["A>1", "E^1", "F<1", "Dv1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoooooBooAAoCDDEooCooEooCooEFFF\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,E^1,F<1,Dv1,A>1\n"]}} {"board": "oooBooAAoBCDoooBCDoEEECoooFFFooooGGG", "size": 6, "moves": 6, "solution": ["Dv1", "E<1", "F<2", "Bv2", "Bv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBooAAoBCDoooBCDoEEECoooFFFooooGGG\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,E<1,F<2,Bv2,Bv1,A>4\n"]}} {"board": "ooooooBoCCCoBoDoooBoDEEEooDoFooAAoFo", "size": 6, "moves": 5, "solution": ["C>1", "D^2", "E<2", "F^1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooBoCCCoBoDoooBoDEEEooDoFooAAoFo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC>1,D^2,E<2,F^1,A>3\n"]}} {"board": "ooBBBCoooAACoDoEEoFDGHHHFoGIIIFoGooo", "size": 6, "moves": 6, "solution": ["Cv1", "B>1", "G^3", "H<1", "Dv1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBCoooAACoDoEEoFDGHHHFoGIIIFoGooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,B>1,G^3,H<1,Dv1,A>1\n"]}} {"board": "ooooooooBBBoCooDDDCooEooAAoEoooooEFF", "size": 6, "moves": 6, "solution": ["B<2", "A>1", "Cv1", "C<3", "E^2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooBBBoCooDDDCooEooAAoEoooooEFF\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,A>1,Cv1,C<3,E^2,A>3\n"]}} {"board": "BooooCBAAoDCBoooDCEoFoooEGFHHHoGoIII", "size": 6, "moves": 5, "solution": ["Dv1", "F^1", "H<1", "Cv2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BooooCBAAoDCBoooDCEoFoooEGFHHHoGoIII\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,F^1,H<1,Cv2,A>3\n"]}} {"board": "oooBCoAADBCoooDEEEoFooGHoFooGHoooooH", "size": 6, "moves": 6, "solution": ["Dv2", "D<3", "Bv2", "Gv1", "Bv2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBCoAADBCoooDEEEoFooGHoFooGHoooooH\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv2,D<3,Bv2,Gv1,Bv2,A>4\n"]}} {"board": "oooBBBooooCooAAoCDooEFFDGGEooDooEHHH", "size": 6, "moves": 7, "solution": ["B<2", "C^1", "A>2", "E^1", "H<1", "Ev1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBooooCooAAoCDooEFFDGGEooDooEHHH\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,C^1,A>2,E^1,H<1,Ev1,A>1\n"]}} {"board": "oBAACooBoDCooooDEoFFGDEoooGHHIJJJooI", "size": 6, "moves": 5, "solution": ["G^1", "H<1", "Fv1", "Cv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBAACooBoDCooooDEoFFGDEoooGHHIJJJooI\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nG^1,H<1,Fv1,Cv1,A>2\n"]}} {"board": "oooooooooBBBooCCCDoAAEoDoFFEoDoooEoo", "size": 6, "moves": 5, "solution": ["B<3", "C<2", "D^2", "E^3", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBBBooCCCDoAAEoDoFFEoDoooEoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<3,C<2,D^2,E^3,A>3\n"]}} {"board": "oBBBCoooAACoooDoCoEoDFGGEooFoooooFoo", "size": 6, "moves": 8, "solution": ["B<1", "A<1", "Dv2", "E^3", "F<3", "Cv2", "Cv2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBCoooAACoooDoCoEoDFGGEooFoooooFoo\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,A<1,Dv2,E^3,F<3,Cv2,Cv2,A>3\n"]}} {"board": "oBoooooBoCCCoBoooooAAoDEooooDEoFFFDE", "size": 6, "moves": 6, "solution": ["A>1", "Bv2", "B<2", "D^3", "E^3", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoooooBoCCCoBoooooAAoDEooooDEoFFFDE\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,Bv2,B<2,D^3,E^3,A>2\n"]}} {"board": "oAAooBoCDEEBoCDFFBoCDGGGHHIooJKKILLJ", "size": 6, "moves": 5, "solution": ["A>2", "D^1", "G<1", "Cv1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAooBoCDEEBoCDFFBoCDGGGHHIooJKKILLJ\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,D^1,G<1,Cv1,A>1\n"]}} {"board": "AAooBoCDDEBoCoFEGGHIFooJHIKKKJHIoooJ", "size": 6, "moves": 9, "solution": ["E^1", "G<1", "J^2", "K>1", "Gv1", "G<2", "Bv1", "Bv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAooBoCDDEBoCoFEGGHIFooJHIKKKJHIoooJ\nOptimal length (moves): 9\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,G<1,J^2,K>1,Gv1,G<2,Bv1,Bv1,A>4\n"]}} {"board": "ooBooCooBooCAAoooCoDDEEEFFooooGGGoHH", "size": 6, "moves": 5, "solution": ["D<1", "E<1", "H<1", "Cv3", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBooCooBooCAAoooCoDDEEEFFooooGGGoHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,E<1,H<1,Cv3,A>4\n"]}} {"board": "oAAoBoCCDEBFooDEBFGoDEHHGoooooIIoooo", "size": 6, "moves": 10, "solution": ["A<1", "D^1", "E^1", "I>1", "Gv1", "G<4", "Bv1", "Bv1", "Bv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAoBoCCDEBFooDEBFGoDEHHGoooooIIoooo\nOptimal length (moves): 10\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<1,D^1,E^1,I>1,Gv1,G<4,Bv1,Bv1,Bv1,A>4\n"]}} {"board": "ooBCooAABCoDoEECoDoooFFooGGooooooooo", "size": 6, "moves": 6, "solution": ["Dv1", "D<1", "F<3", "Bv2", "Bv2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBCooAABCoDoEECoDoooFFooGGooooooooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,D<1,F<3,Bv2,Bv2,A>4\n"]}} {"board": "oooooBoooAABCCoDoBoEEDoooooDFFoooooo", "size": 6, "moves": 6, "solution": ["A<2", "D^1", "F<3", "Bv2", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoooAABCCoDoBoEEDoooooDFFoooooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<2,D^1,F<3,Bv2,Bv1,A>3\n"]}} {"board": "oBoCCCoBDEEEoBDoFoGoooFoGoAAFooHHoII", "size": 6, "moves": 5, "solution": ["Bv2", "Cv1", "C<2", "F^1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoCCCoBDEEEoBDoFoGoooFoGoAAFooHHoII\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,Cv1,C<2,F^1,A>2\n"]}} {"board": "BoooooBoooooBooooooooCCCooDoEFAADoEF", "size": 6, "moves": 5, "solution": ["D^3", "D<2", "E^1", "F^1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoooooBoooooBooooooooCCCooDoEFAADoEF\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^3,D<2,E^1,F^1,A>4\n"]}} {"board": "AAoooBoCDDDBECoFFBECGGHHoooIIIJJoKKo", "size": 6, "moves": 6, "solution": ["A>2", "C^1", "G<1", "H<1", "Cv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoooBoCDDDBECoFFBECGGHHoooIIIJJoKKo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,C^1,G<1,H<1,Cv1,A>2\n"]}} {"board": "ooooooAAooBooCDDBooCooBooCoEEEoFFoGG", "size": 6, "moves": 5, "solution": ["A>2", "C^1", "E<2", "Cv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooAAooBooCDDBooCooBooCoEEEoFFoGG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,C^1,E<2,Cv1,A>2\n"]}} {"board": "oAAoBoCCooBoooDDEFoooGEFHHoGIIJJJKKK", "size": 6, "moves": 6, "solution": ["D<1", "G^1", "I<2", "Fv1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAoBoCCooBoooDDEFoooGEFHHoGIIJJJKKK\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,G^1,I<2,Fv1,Bv1,A>3\n"]}} {"board": "ooooooooooooBAAoCoBooDCoBooDCooooDEE", "size": 6, "moves": 5, "solution": ["D^1", "E<3", "Cv1", "Cv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooooBAAoCoBooDCoBooDCooooDEE\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E<3,Cv1,Cv1,A>3\n"]}} {"board": "ooooooAAooBoCoDDBoCoEFFFooEoooooEooo", "size": 6, "moves": 8, "solution": ["Cv1", "C<2", "E^3", "F<2", "Cv3", "E>2", "Bv2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooAAooBoCoDDBoCoEFFFooEoooooEooo\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,C<2,E^3,F<2,Cv3,E>2,Bv2,A>4\n"]}} {"board": "oooooooooBBBoooooCoooDoCAAoDoEoooDoE", "size": 6, "moves": 5, "solution": ["B<3", "C^2", "D^2", "E^2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBBBoooooCoooDoCAAoDoEoooDoE\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<3,C^2,D^2,E^2,A>4\n"]}} {"board": "oAABoooooBooooCDDDooCooooEEEooooFFFo", "size": 6, "moves": 5, "solution": ["E>2", "Cv1", "C<3", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAABoooooBooooCDDDooCooooEEEooooFFFo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE>2,Cv1,C<3,Bv1,A>3\n"]}} {"board": "ooBooCAABooCooBDDDEooFooEooFGHoIIFGH", "size": 6, "moves": 5, "solution": ["I<1", "Bv3", "C<1", "Bv2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBooCAABooCooBDDDEooFooEooFGHoIIFGH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nI<1,Bv3,C<1,Bv2,A>4\n"]}} {"board": "oooBBBCoooooCDDDoECooFoEoAAFoEoooooo", "size": 6, "moves": 5, "solution": ["Cv2", "C<1", "D^1", "F^1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBCoooooCDDDoECooFoEoAAFoEoooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,C<1,D^1,F^1,A>3\n"]}} {"board": "oBBBoCDoAAoCDoEEECDFFGGGHoooooHooooo", "size": 6, "moves": 5, "solution": ["D^1", "F<1", "G<1", "Dv2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBoCDoAAoCDoEEECDFFGGGHoooooHooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,F<1,G<1,Dv2,A>2\n"]}} {"board": "ooooBoAAooBoCoooBoCoDoEECoDoFFoGGHHH", "size": 6, "moves": 9, "solution": ["A>1", "C^1", "D^1", "F<4", "G<1", "Dv2", "D<2", "Bv2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoAAooBoCoooBoCoDoEECoDoFFoGGHHH\nOptimal length (moves): 9\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,C^1,D^1,F<4,G<1,Dv2,D<2,Bv2,A>3\n"]}} {"board": "oooBooAAoBoooCoooooCoDDDooooooEEEooo", "size": 6, "moves": 5, "solution": ["E>2", "Cv2", "C<3", "Bv2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBooAAoBoooCoooooCoDDDooooooEEEooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE>2,Cv2,C<3,Bv2,A>4\n"]}} {"board": "oooBooAAoBCoooDDCoooEEoooFoGGooFoooo", "size": 6, "moves": 5, "solution": ["Cv1", "C<1", "E<1", "Bv2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBooAAoBCoooDDCoooEEoooFoGGooFoooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,C<1,E<1,Bv2,A>4\n"]}} {"board": "BBBooCoooooCooAAoCDEEoooDooFFoDGGHHH", "size": 6, "moves": 5, "solution": ["D^1", "G<1", "H<1", "Cv3", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBooCoooooCooAAoCDEEoooDooFFoDGGHHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,G<1,H<1,Cv3,A>2\n"]}} {"board": "oooBBBoooooooCCCoooooooDAAoEFDGGoEFD", "size": 6, "moves": 5, "solution": ["C<1", "D^2", "E^2", "F^2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBoooooooCCCoooooooDAAoEFDGGoEFD\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,D^2,E^2,F^2,A>4\n"]}} {"board": "BBBooooooooCoAAooCDooEECDFFFGGDooHHH", "size": 6, "moves": 6, "solution": ["D^2", "F<1", "G<1", "H<1", "Dv2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBooooooooCoAAooCDooEECDFFFGGDooHHH\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,F<1,G<1,H<1,Dv2,A>3\n"]}} {"board": "oooooooAABoooooBoooCDDoEoCoooEoCoooE", "size": 6, "moves": 6, "solution": ["E^3", "E>2", "Cv3", "D<1", "Bv2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooAABoooooBoooCDDoEoCoooEoCoooE\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^3,E>2,Cv3,D<1,Bv2,A>3\n"]}} {"board": "ooBoooooBCCCoDDDoEAAoFoEoooFoEoooFoo", "size": 6, "moves": 8, "solution": ["Ev1", "D>2", "Bv4", "B<3", "C<3", "D^3", "E^3", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoooooBCCCoDDDoEAAoFoEoooFoEoooFoo\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,D>2,Bv4,B<3,C<3,D^3,E^3,A>4\n"]}} {"board": "BCAAoDBCEFFDBCEooDGHEIIIGHJKKKGoJLLL", "size": 6, "moves": 5, "solution": ["A>1", "E^1", "I<1", "Ev1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BCAAoDBCEFFDBCEooDGHEIIIGHJKKKGoJLLL\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,E^1,I<1,Ev1,A>1\n"]}} {"board": "oAABoCDoEBoCDoEooCoFFGGGooHHIIJJJooo", "size": 6, "moves": 5, "solution": ["Bv1", "F<1", "G<1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAABoCDoEBoCDoEooCoFFGGGooHHIIJJJooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,F<1,G<1,Bv1,A>3\n"]}} {"board": "oooooooooBoooAABooCooBooCoDDDoCoEEoo", "size": 6, "moves": 5, "solution": ["C^2", "D<2", "E<1", "Cv2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBoooAABooCooBooCoDDDoCoEEoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,D<2,E<1,Cv2,A>3\n"]}} {"board": "ooBCoDAABCoDoEFFFoGEooHHGoIIoJoooooJ", "size": 6, "moves": 9, "solution": ["Ev2", "E>1", "I>1", "Bv4", "D<3", "F<3", "Bv2", "Bv2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBCoDAABCoDoEFFFoGEooHHGoIIoJoooooJ\nOptimal length (moves): 9\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv2,E>1,I>1,Bv4,D<3,F<3,Bv2,Bv2,A>4\n"]}} {"board": "BAAooCBooDoCoEEDFFGooDooGHIIooGHooJJ", "size": 6, "moves": 5, "solution": ["I>2", "Dv2", "E<1", "Cv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BAAooCBooDoCoEEDFFGooDooGHIIooGHooJJ\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nI>2,Dv2,E<1,Cv1,A>3\n"]}} {"board": "BAAoCoBooDCoBooDEEooFGHoooFGHIJJFGHI", "size": 6, "moves": 5, "solution": ["D^1", "E<3", "Cv1", "Cv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BAAoCoBooDCoBooDEEooFGHoooFGHIJJFGHI\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E<3,Cv1,Cv1,A>3\n"]}} {"board": "AABCooooBCDoEFFoDGEoHHHGoooIoGJJJIKK", "size": 6, "moves": 5, "solution": ["Cv1", "Ev1", "E<1", "Bv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AABCooooBCDoEFFoDGEoHHHGoooIoGJJJIKK\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Ev1,E<1,Bv1,A>4\n"]}} {"board": "AAoBCoDEoBCoDEooFFoEGGHHooIIIoooooJJ", "size": 6, "moves": 5, "solution": ["Ev2", "E<3", "Bv1", "Bv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoBCoDEoBCoDEooFFoEGGHHooIIIoooooJJ\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv2,E<3,Bv1,Bv1,A>4\n"]}} {"board": "oBoCCCoBoDEooBoDEooAAoEFGooooFGooooF", "size": 6, "moves": 6, "solution": ["A>1", "Bv1", "B<2", "E^1", "F^3", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoCCCoBoDEooBoDEooAAoEFGooooFGooooF\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,Bv1,B<2,E^1,F^3,A>2\n"]}} {"board": "oBCDDDoBCooEAAoFoEGHoFIIGHooJJoHoKKK", "size": 6, "moves": 5, "solution": ["Cv3", "C<1", "D^1", "Ev1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBCDDDoBCooEAAoFoEGHoFIIGHooJJoHoKKK\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv3,C<1,D^1,Ev1,A>4\n"]}} {"board": "oooooBoooAABCDooooCDEEFFCDooGGoooHHH", "size": 6, "moves": 5, "solution": ["D^2", "E<1", "F<1", "Cv2", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoooAABCDooooCDEEFFCDooGGoooHHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,E<1,F<1,Cv2,A>1\n"]}} {"board": "AABoooooBCCDEFGGGDEFHIJKEFHIJKoooIoK", "size": 6, "moves": 8, "solution": ["D^1", "G>1", "Bv1", "A>3", "C^1", "G<1", "Cv1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AABoooooBCCDEFGGGDEFHIJKEFHIJKoooIoK\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,G>1,Bv1,A>3,C^1,G<1,Cv1,A>1\n"]}} {"board": "oooooooooooooBBBCDoooECDAAoECDoooEoo", "size": 6, "moves": 5, "solution": ["B<1", "C^1", "D^1", "E^2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooooBBBCDoooECDAAoECDoooEoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,C^1,D^1,E^2,A>4\n"]}} {"board": "oBBBCoooooCDoAAoCDEEFFoDooGHIIooGHJJ", "size": 6, "moves": 13, "solution": ["B<1", "D^1", "A<1", "F>2", "G^2", "H^4", "I<4", "J<4", "Fv2", "G<2", "Dv3", "Dv3", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBCoooooCDoAAoCDEEFFoDooGHIIooGHJJ\nOptimal length (moves): 13\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,D^1,A<1,F>2,G^2,H^4,I<4,J<4,Fv2,G<2,Dv3,Dv3,A>4\n"]}} {"board": "oooBoooAABooooCDDDooCoooooEEooooooFF", "size": 6, "moves": 5, "solution": ["E<2", "Cv1", "C<3", "Bv2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoooAABooooCDDDooCoooooEEooooooFF\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<2,Cv1,C<3,Bv2,A>3\n"]}} {"board": "oAAoBoCoooBoCDooBooDEFFFooEoooGGGooo", "size": 6, "moves": 5, "solution": ["D^1", "E^2", "F<2", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAoBoCoooBoCDooBooDEFFFooEoooGGGooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E^2,F<2,Bv1,A>3\n"]}} {"board": "BBBooCAAooDCoEEEDCFGooHoFGooHooGooII", "size": 6, "moves": 5, "solution": ["Cv2", "I<2", "Hv1", "Cv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBooCAAooDCoEEEDCFGooHoFGooHooGooII\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,I<2,Hv1,Cv1,A>4\n"]}} {"board": "oooAABoooCoBoooCoBDEoCFFDEoGGGDooHHH", "size": 6, "moves": 7, "solution": ["A<2", "C^1", "E^2", "F<3", "Bv1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooAABoooCoBoooCoBDEoCFFDEoGGGDooHHH\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<2,C^1,E^2,F<3,Bv1,Bv1,A>3\n"]}} {"board": "ooooBoooooBoooAABooooCDDoooCoEoFFFoE", "size": 6, "moves": 5, "solution": ["A<1", "C^3", "D<2", "Cv3", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoooooBoooAABooooCDDoooCoEoFFFoE\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<1,C^3,D<2,Cv3,A>3\n"]}} {"board": "BooCCCBDEooFBDEooFoDGHIFAAGHIooJJHIo", "size": 6, "moves": 5, "solution": ["E^1", "G^1", "H^2", "I^2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BooCCCBDEooFBDEooFoDGHIFAAGHIooJJHIo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,G^1,H^2,I^2,A>4\n"]}} {"board": "oooooBoooCoBAAoCoBDEECooDFooooDFoGGG", "size": 6, "moves": 15, "solution": ["C^1", "A>1", "D^1", "E>3", "F^1", "G<3", "Bv3", "A>1", "D^3", "A<1", "E^3", "F<3", "Cv3", "Cv3", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoooCoBAAoCoBDEECooDFooooDFoGGG\nOptimal length (moves): 15\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>1,D^1,E>3,F^1,G<3,Bv3,A>1,D^3,A<1,E^3,F<3,Cv3,Cv3,A>3\n"]}} {"board": "ooooBooAAoBCoDoooCEDFFFCEDoGGGHHHIIo", "size": 6, "moves": 7, "solution": ["A>1", "D^2", "F<1", "Cv2", "G<1", "Cv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBooAAoBCoDoooCEDFFFCEDoGGGHHHIIo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,D^2,F<1,Cv2,G<1,Cv1,A>2\n"]}} {"board": "ooBoooooBooCAABooCDDDooCoooEEEooFFFo", "size": 6, "moves": 11, "solution": ["C^1", "D>3", "F>1", "Bv3", "A>3", "C^3", "D<1", "E<1", "F<1", "Cv3", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoooooBooCAABooCDDDooCoooEEEooFFFo\nOptimal length (moves): 11\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D>3,F>1,Bv3,A>3,C^3,D<1,E<1,F<1,Cv3,A>1\n"]}} {"board": "BooooCBDDDoCAAoooCEoFoGGEHFIJJoHFIoo", "size": 6, "moves": 9, "solution": ["A>1", "Ev1", "Bv2", "C<1", "I^4", "G<1", "J<1", "Cv3", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BooooCBDDDoCAAoooCEoFoGGEHFIJJoHFIoo\nOptimal length (moves): 9\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,Ev1,Bv2,C<1,I^4,G<1,J<1,Cv3,A>3\n"]}} {"board": "BCCCoDBAAoEDooFFEDoGoHHHoGoooooooooo", "size": 6, "moves": 5, "solution": ["Gv1", "G<2", "Dv2", "Dv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BCCCoDBAAoEDooFFEDoGoHHHoGoooooooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nGv1,G<2,Dv2,Dv1,A>3\n"]}} {"board": "oooooooBBBoCoooooCAADooCooDoooooDEEE", "size": 6, "moves": 8, "solution": ["Cv1", "B>2", "D^3", "A>3", "Bv2", "B<1", "D^2", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooBBBoCoooooCAADooCooDoooooDEEE\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,B>2,D^3,A>3,Bv2,B<1,D^2,A>1\n"]}} {"board": "oBBBoCooDooCAADoECoFFFEoooGGEoHHoooo", "size": 6, "moves": 5, "solution": ["Cv3", "B>2", "C^1", "Dv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBoCooDooCAADoECoFFFEoooGGEoHHoooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv3,B>2,C^1,Dv1,A>4\n"]}} {"board": "ooBBBooAAoCDooEoCDooEoCDFFoGHHoIIGJJ", "size": 6, "moves": 5, "solution": ["G^2", "H<2", "Cv1", "Cv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBooAAoCDooEoCDooEoCDFFoGHHoIIGJJ\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nG^2,H<2,Cv1,Cv1,A>3\n"]}} {"board": "AAoBooooCBDDoECFFFoEoooGoEoooGoooooG", "size": 6, "moves": 5, "solution": ["Cv2", "Dv1", "D<3", "Bv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoBooooCBDDoECFFFoEoooGoEoooGoooooG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,Dv1,D<3,Bv1,A>4\n"]}} {"board": "BCCCooBoDEoFooDEoFoAAEoFGGHHooIIoJJJ", "size": 6, "moves": 5, "solution": ["Bv1", "B<1", "E^1", "F^1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BCCCooBoDEoFooDEoFoAAEoFGGHHooIIoJJJ\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,B<1,E^1,F^1,A>3\n"]}} {"board": "ooooooBAAooCBooooCBoDEEEooDoooooDooo", "size": 6, "moves": 5, "solution": ["A>2", "D^3", "E<1", "Dv1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooBAAooCBooooCBoDEEEooDoooooDooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,D^3,E<1,Dv1,A>1\n"]}} {"board": "oooooooooooBAAoCoBoooCoBoDoCEEoDoFFF", "size": 6, "moves": 11, "solution": ["D^1", "F<3", "Cv1", "A>2", "C^3", "A<1", "D^2", "E<3", "Cv2", "Cv2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooBAAoCoBoooCoBoDoCEEoDoFFF\nOptimal length (moves): 11\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,F<3,Cv1,A>2,C^3,A<1,D^2,E<3,Cv2,Cv2,A>3\n"]}} {"board": "oooooooooBCoAAoBCoDEEoCoDoFoGGDoFoHH", "size": 6, "moves": 9, "solution": ["B^1", "C^1", "E>2", "F^4", "F<1", "G<2", "H<2", "Dv3", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBCoAAoBCoDEEoCoDoFoGGDoFoHH\nOptimal length (moves): 9\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,C^1,E>2,F^4,F<1,G<2,H<2,Dv3,A>4\n"]}} {"board": "BBBCoooAACDEFFFCDEoGHooIoGHooIoGoJJo", "size": 6, "moves": 5, "solution": ["Cv2", "Cv1", "Iv1", "Cv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBCoooAACDEFFFCDEoGHooIoGHooIoGoJJo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,Cv1,Iv1,Cv1,A>3\n"]}} {"board": "ooBoooAABoCDEFBGCDEFoGCDoooGHHoIIIoo", "size": 6, "moves": 7, "solution": ["G^1", "H<4", "Bv2", "Bv1", "Bv1", "Bv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoooAABoCDEFBGCDEFoGCDoooGHHoIIIoo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nG^1,H<4,Bv2,Bv1,Bv1,Bv1,A>4\n"]}} {"board": "BoCDDDBoCoooooEoooAAEoFGoHHHFGIIooFo", "size": 6, "moves": 8, "solution": ["F^2", "G^2", "H>2", "Gv2", "Cv1", "C<2", "E^1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoCDDDBoCoooooEoooAAEoFGoHHHFGIIooFo\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^2,G^2,H>2,Gv2,Cv1,C<2,E^1,A>4\n"]}} {"board": "ooBoCoAABoCDooooCDooooEEFFoGoooooGoo", "size": 6, "moves": 5, "solution": ["Bv4", "D<2", "Bv2", "Bv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoCoAABoCDooooCDooooEEFFoGoooooGoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv4,D<2,Bv2,Bv1,A>4\n"]}} {"board": "oBoooCoBoooCAAoooCooooooooDEEEooDoFF", "size": 6, "moves": 5, "solution": ["D^4", "E<1", "F<1", "Dv3", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoooCoBoooCAAoooCooooooooDEEEooDoFF\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^4,E<1,F<1,Dv3,A>4\n"]}} {"board": "BBBooCoAAooCoooDoCoEoDoooEoDFFooooGG", "size": 6, "moves": 6, "solution": ["D^1", "E^1", "F<3", "Cv2", "Cv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBooCoAAooCoooDoCoEoDoooEoDFFooooGG\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E^1,F<3,Cv2,Cv1,A>3\n"]}} {"board": "BoCCCDBoAAoDoooEooFFGEHHIoGEooIoGooo", "size": 6, "moves": 9, "solution": ["Bv1", "B<2", "A<1", "E^2", "H<1", "Dv4", "G>1", "Cv2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoCCCDBoAAoDoooEooFFGEHHIoGEooIoGooo\nOptimal length (moves): 9\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,B<2,A<1,E^2,H<1,Dv4,G>1,Cv2,A>3\n"]}} {"board": "BoAACDBEEECDFoooCDFooGHHIIoGoooJJooo", "size": 6, "moves": 5, "solution": ["Gv1", "G<2", "Cv1", "Cv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoAACDBEEECDFoooCDFooGHHIIoGoooJJooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nGv1,G<2,Cv1,Cv1,A>2\n"]}} {"board": "oBBBooCCCooDoEEEoDAAoFoDoooFGGoooFoo", "size": 6, "moves": 5, "solution": ["B<1", "D^1", "E<1", "F^3", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBooCCCooDoEEEoDAAoFoDoooFGGoooFoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,D^1,E<1,F^3,A>4\n"]}} {"board": "ooooooBBBooooooCCCooDooEAADooEooDooE", "size": 6, "moves": 8, "solution": ["B>3", "D^2", "A>3", "Bv2", "B<1", "C<1", "E^2", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooBBBooooooCCCooDooEAADooEooDooE\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nB>3,D^2,A>3,Bv2,B<1,C<1,E^2,A>1\n"]}} {"board": "oBAACDoBEECDoBFFCDooGGHHooIoJJKKIooo", "size": 6, "moves": 5, "solution": ["G<2", "H<2", "Cv1", "Cv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBAACDoBEECDoBFFCDooGGHHooIoJJKKIooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<2,H<2,Cv1,Cv1,A>2\n"]}} {"board": "oooBBBCCCDooooEDFGAAEoFGoooHHGoooooo", "size": 6, "moves": 5, "solution": ["B<1", "Ev2", "E^1", "F^2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBCCCDooooEDFGAAEoFGoooHHGoooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,Ev2,E^1,F^2,A>4\n"]}} {"board": "oBCCCoDBEEEoDAAoFoGHHoFoGoIoJJGoIooo", "size": 6, "moves": 7, "solution": ["A>1", "H>1", "Bv2", "B<1", "D<1", "F^2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBCCCoDBEEEoDAAoFoGHHoFoGoIoJJGoIooo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,H>1,Bv2,B<1,D<1,F^2,A>2\n"]}} {"board": "ooBooooCBDDDoCoooooCooEoAAooEoooooEo", "size": 6, "moves": 6, "solution": ["Bv2", "A>2", "Bv1", "B<2", "E^2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBooooCBDDDoCoooooCooEoAAooEoooooEo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>2,Bv1,B<2,E^2,A>2\n"]}} {"board": "oooooBooAAoBCooDDDCEEFFFCoooGoooooGo", "size": 6, "moves": 6, "solution": ["C^2", "D<1", "E<1", "F<1", "Cv2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBooAAoBCooDDDCEEFFFCoooGoooooGo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,D<1,E<1,F<1,Cv2,A>2\n"]}} {"board": "oooBBBooooooCoDEFoCoDEFoAADGoHoooGoH", "size": 6, "moves": 6, "solution": ["B<3", "D^1", "E^2", "G^2", "H^2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBooooooCoDEFoCoDEFoAADGoHoooGoH\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<3,D^1,E^2,G^2,H^2,A>4\n"]}} {"board": "oBBBCooDAACooDooEEoDFFFoooGoHoIIGoHo", "size": 6, "moves": 7, "solution": ["E<2", "Cv1", "B>1", "C^1", "F<1", "Dv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBCooDAACooDooEEoDFFFoooGoHoIIGoHo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<2,Cv1,B>1,C^1,F<1,Dv1,A>2\n"]}} {"board": "oBBBoooooCoooooCooooDEooooDEooAADEoo", "size": 6, "moves": 5, "solution": ["B<1", "C^1", "D^1", "E^1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBoooooCoooooCooooDEooooDEooAADEoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,C^1,D^1,E^1,A>4\n"]}} {"board": "oooBBBCCCooooooDoEoAADFEGGoDFoooooFo", "size": 6, "moves": 5, "solution": ["B<3", "D^2", "E^1", "F^3", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBCCCooooooDoEoAADFEGGoDFoooooFo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<3,D^2,E^1,F^3,A>3\n"]}} {"board": "oBBBCoooAACooDDoCoEoooFFEGoHHHEGooII", "size": 6, "moves": 6, "solution": ["D>1", "F<2", "G^2", "H<2", "Cv2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBCoooAACooDDoCoEoooFFEGoHHHEGooII\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nD>1,F<2,G^2,H<2,Cv2,A>2\n"]}} {"board": "AAoBooCooBooCooDDDEEFGHoooFGHIoooGoI", "size": 6, "moves": 5, "solution": ["A>1", "C^1", "D<3", "Cv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoBooCooBooCooDDDEEFGHoooFGHIoooGoI\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,C^1,D<3,Cv1,A>3\n"]}} {"board": "BBBooCDAAooCDoEFFFooEoGGoooHIIJJJHoo", "size": 6, "moves": 5, "solution": ["Ev1", "E<1", "G<1", "Cv2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBooCDAAooCDoEFFFooEoGGoooHIIJJJHoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,E<1,G<1,Cv2,A>3\n"]}} {"board": "oAAoBCooooBCDoEEBoDoFoGGoHFIJJoHFIKK", "size": 6, "moves": 9, "solution": ["A<1", "Cv1", "Dv2", "D<2", "E^3", "F<4", "Bv1", "Bv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAoBCooooBCDoEEBoDoFoGGoHFIJJoHFIKK\nOptimal length (moves): 9\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<1,Cv1,Dv2,D<2,E^3,F<4,Bv1,Bv1,A>4\n"]}} {"board": "oAAoBooCCCBoDooEFoDoGEFHDIGEFHoIGJJo", "size": 6, "moves": 5, "solution": ["G^1", "J<1", "Gv1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAoBooCCCBoDooEFoDoGEFHDIGEFHoIGJJo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nG^1,J<1,Gv1,Bv1,A>3\n"]}} {"board": "ooooooAAooBooCooBooCooBooCoDDDoooooo", "size": 6, "moves": 5, "solution": ["A>2", "C^1", "D<2", "Cv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooAAooBooCooBooCooBooCoDDDoooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,C^1,D<2,Cv1,A>2\n"]}} {"board": "ooBBBoCDDDooCoooooooEFFFAAEoGoooEoGo", "size": 6, "moves": 6, "solution": ["B>1", "D>2", "E^3", "F<2", "G^2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBoCDDDooCoooooooEFFFAAEoGoooEoGo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nB>1,D>2,E^3,F<2,G^2,A>4\n"]}} {"board": "oooBBBCoDDDoCEEEFGCAAoFGoHHHFGoIIIoo", "size": 6, "moves": 5, "solution": ["B<2", "D<1", "F^2", "G^2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBCoDDDoCEEEFGCAAoFGoHHHFGoIIIoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,D<1,F^2,G^2,A>3\n"]}} {"board": "oooooBAAoooBoooooooooCDDooECooooECoo", "size": 6, "moves": 5, "solution": ["C^3", "D<3", "Bv2", "Bv2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBAAoooBoooooooooCDDooECooooECoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^3,D<3,Bv2,Bv2,A>4\n"]}} {"board": "oooooooooooBAACDoBooCDoBooooEEoooooo", "size": 6, "moves": 5, "solution": ["C^2", "D^2", "E<1", "Dv2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooBAACDoBooCDoBooooEEoooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,D^2,E<1,Dv2,A>4\n"]}} {"board": "BBBoooCCCoooooDEEEFoDGoHFooGoHFAAGoH", "size": 6, "moves": 5, "solution": ["Dv1", "D<3", "G^1", "H^1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBoooCCCoooooDEEEFoDGoHFooGoHFAAGoH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,D<3,G^1,H^1,A>3\n"]}} {"board": "ooBBBCoAAoDCooooDoooEoDoooEoFFGGEooo", "size": 6, "moves": 7, "solution": ["Cv2", "A<1", "E^2", "F<4", "Cv1", "Cv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBCoAAoDCooooDoooEoDoooEoFFGGEooo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,A<1,E^2,F<4,Cv1,Cv1,A>4\n"]}} {"board": "ooooBooAAoBoooooCCooDEEoooDFFoooDGGG", "size": 6, "moves": 7, "solution": ["A<1", "C<4", "D^3", "E<3", "Bv2", "Bv2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBooAAoBoooooCCooDEEoooDFFoooDGGG\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<1,C<4,D^3,E<3,Bv2,Bv2,A>4\n"]}} {"board": "oAAoBCoooDBCEEEDBCoooDFFGGoHHHIIIoJJ", "size": 6, "moves": 6, "solution": ["D^1", "F<3", "Bv1", "Bv1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAoBCoooDBCEEEDBCoooDFFGGoHHHIIIoJJ\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,F<3,Bv1,Bv1,Bv1,A>3\n"]}} {"board": "AABooCDEBooCDEoFFFoEGHIoJJGHIoKKoHIo", "size": 6, "moves": 5, "solution": ["F<1", "Cv3", "E>1", "Bv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AABooCDEBooCDEoFFFoEGHIoJJGHIoKKoHIo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Cv3,E>1,Bv1,A>4\n"]}} {"board": "BBBCoDEooCoDEAACooFooGGoFHHIIoFooJJJ", "size": 6, "moves": 9, "solution": ["G<2", "Cv1", "B>1", "D^1", "F^1", "I>1", "J<3", "Ev2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBCoDEooCoDEAACooFooGGoFHHIIoFooJJJ\nOptimal length (moves): 9\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<2,Cv1,B>1,D^1,F^1,I>1,J<3,Ev2,A>3\n"]}} {"board": "oAABooCooBooCDEEEoCDFoGooDFoGoooFoGo", "size": 6, "moves": 5, "solution": ["Cv2", "Cv1", "C<2", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAABooCooBooCDEEEoCDFoGooDFoGoooFoGo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,Cv1,C<2,Bv1,A>3\n"]}} {"board": "BooooCBoAAoCDDDEFFGHHEoIGooEoIoooJJJ", "size": 6, "moves": 6, "solution": ["J<3", "Ev1", "E<1", "Iv1", "Cv2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BooooCBoAAoCDDDEFFGHHEoIGooEoIoooJJJ\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nJ<3,Ev1,E<1,Iv1,Cv2,A>2\n"]}} {"board": "ooooooooooBoooooBoooCDEoooCDEoAACDEo", "size": 6, "moves": 5, "solution": ["B^1", "C^1", "D^1", "E^1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooBoooooBoooCDEoooCDEoAACDEo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,C^1,D^1,E^1,A>4\n"]}} {"board": "oooooooooBBBoooooooooCDEAAoCDEoooCDE", "size": 6, "moves": 5, "solution": ["B<3", "C^2", "D^2", "E^2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBBBoooooooooCDEAAoCDEoooCDE\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<3,C^2,D^2,E^2,A>4\n"]}} {"board": "ooBooCooBDoCAABDoCooooEEooooooFFoGGG", "size": 6, "moves": 8, "solution": ["Bv3", "C^1", "A>3", "D^1", "E<1", "G<1", "Cv3", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBooCooBDoCAABDoCooooEEooooooFFoGGG\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv3,C^1,A>3,D^1,E<1,G<1,Cv3,A>1\n"]}} {"board": "oBBBooCoDDDoCoAAEFCoooEFoGHHEFoGoIII", "size": 6, "moves": 5, "solution": ["G^1", "I<2", "Ev1", "Ev1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBooCoDDDoCoAAEFCoooEFoGHHEFoGoIII\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nG^1,I<2,Ev1,Ev1,A>2\n"]}} {"board": "BBBooCDooooCDAAoECFFGHEoooGHIIooGHJJ", "size": 6, "moves": 12, "solution": ["B>1", "D^1", "A<1", "E^2", "G^2", "H^2", "I<4", "J<4", "Ev3", "Ev2", "Ev2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBooCDooooCDAAoECFFGHEoooGHIIooGHJJ\nOptimal length (moves): 12\nReturn only the and blocks.", "\nShortest path found.\n\n\nB>1,D^1,A<1,E^2,G^2,H^2,I<4,J<4,Ev3,Ev2,Ev2,A>4\n"]}} {"board": "ooAABCooDoBCooDoBEoooooEoFoGGGoFoooo", "size": 6, "moves": 5, "solution": ["Bv1", "G<1", "Ev1", "Bv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAABCooDoBCooDoBEoooooEoFoGGGoFoooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,G<1,Ev1,Bv1,A>2\n"]}} {"board": "oBBBoCoooooCoooooCoAADEFoooDEFoooDEo", "size": 6, "moves": 5, "solution": ["B<1", "D^3", "E^3", "Fv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBoCoooooCoooooCoAADEFoooDEFoooDEo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,D^3,E^3,Fv1,A>3\n"]}} {"board": "ooBBBoCCCoDoEoooDoEooFFFAAoGHooIIGHo", "size": 6, "moves": 8, "solution": ["B<1", "C>1", "D^1", "E^1", "F<3", "G^2", "H^2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBoCCCoDoEoooDoEooFFFAAoGHooIIGHo\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,C>1,D^1,E^1,F<3,G^2,H^2,A>4\n"]}} {"board": "oAABCDoooBCDEEEBoFoGHHoFoGooIIoGoJJJ", "size": 6, "moves": 8, "solution": ["Cv1", "I<1", "J<1", "Fv2", "Cv1", "G>2", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAABCDoooBCDEEEBoFoGHHoFoGooIIoGoJJJ\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,I<1,J<1,Fv2,Cv1,G>2,Bv1,A>3\n"]}} {"board": "BBBooCoooDoCoAADECoFGoEooFGooooFooHH", "size": 6, "moves": 5, "solution": ["D^1", "E^2", "H<1", "Ev3", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBooCoooDoCoAADECoFGoEooFGooooFooHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E^2,H<1,Ev3,A>3\n"]}} {"board": "oooooBoooCDBAAoCDooEECoFoGGGoFooHHHF", "size": 6, "moves": 5, "solution": ["D^1", "G<1", "H<2", "Dv2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoooCDBAAoCDooEECoFoGGGoFooHHHF\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,G<1,H<2,Dv2,A>4\n"]}} {"board": "ooooBooAAoBoooooooooCDDDooCoooooCooo", "size": 6, "moves": 7, "solution": ["A<1", "C^3", "D<2", "Cv4", "C>2", "Bv2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBooAAoBoooooooooCDDDooCoooooCooo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<1,C^3,D<2,Cv4,C>2,Bv2,A>4\n"]}} {"board": "oBBBoooCoDDDoCooEoooooEFoAAoEFoooGGF", "size": 6, "moves": 5, "solution": ["Cv1", "C<2", "E^1", "F^2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBoooCoDDDoCooEoooooEFoAAoEFoooGGF\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,C<2,E^1,F^2,A>3\n"]}} {"board": "ooBBBoooCCCooooooooAADEoFFoDEoGGGDHH", "size": 6, "moves": 5, "solution": ["B<2", "C<2", "D^3", "E^2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBoooCCCooooooooAADEoFFoDEoGGGDHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,C<2,D^3,E^2,A>3\n"]}} {"board": "oooooBoooooBoooAABooCDDDooCoooooCEEE", "size": 6, "moves": 5, "solution": ["C^3", "D<1", "E<1", "Cv3", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoooooBoooAABooCDDDooCoooooCEEE\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^3,D<1,E<1,Cv3,A>1\n"]}} {"board": "ooooooooooooooAABCoooDBCoooDoCoooDEE", "size": 6, "moves": 7, "solution": ["A<1", "B^2", "D^1", "E<3", "Cv1", "Cv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooooooAABCoooDBCoooDoCoooDEE\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<1,B^2,D^1,E<3,Cv1,Cv1,A>3\n"]}} {"board": "BBBoCDEoAACDEoooCDEFoGGGoFHHIIoJJooo", "size": 6, "moves": 7, "solution": ["F^2", "G<2", "H<2", "I<2", "Cv2", "Cv2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBoCDEoAACDEoooCDEFoGGGoFHHIIoJJooo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^2,G<2,H<2,I<2,Cv2,Cv2,A>2\n"]}} {"board": "oAAooBCCDDDBoEFFGGoEHIIIoEHJJJooHKKK", "size": 6, "moves": 5, "solution": ["Ev1", "E<1", "F<1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAooBCCDDDBoEFFGGoEHIIIoEHJJJooHKKK\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,E<1,F<1,Bv1,A>3\n"]}} {"board": "ooooooooBoooAABooCooBooCoooooCoooDDD", "size": 6, "moves": 6, "solution": ["Bv2", "A>3", "C^1", "D<1", "Cv1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooBoooAABooCooBooCoooooCoooDDD\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>3,C^1,D<1,Cv1,A>1\n"]}} {"board": "oooooBooooCBAAooCBDEoFFFDEooGGDEoooo", "size": 6, "moves": 5, "solution": ["C^1", "F<1", "G<1", "Cv3", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBooooCBAAooCBDEoFFFDEooGGDEoooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,F<1,G<1,Cv3,A>4\n"]}} {"board": "ooBCCCooBDDDoEEEoooAAoFGHoooFGHoIIFo", "size": 6, "moves": 11, "solution": ["E>2", "A<1", "Bv3", "B<2", "C<2", "D<2", "F^3", "G^2", "I>1", "Gv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBCCCooBDDDoEEEoooAAoFGHoooFGHoIIFo\nOptimal length (moves): 11\nReturn only the and blocks.", "\nShortest path found.\n\n\nE>2,A<1,Bv3,B<2,C<2,D<2,F^3,G^2,I>1,Gv1,A>4\n"]}} {"board": "oooooooooooooooBBBoCCCDEoooFDEAAoFDo", "size": 6, "moves": 5, "solution": ["B<2", "C<1", "D^1", "F^1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooooooBBBoCCCDEoooFDEAAoFDo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,C<1,D^1,F^1,A>4\n"]}} {"board": "oooBCoAAoBCooDDDooEFooGGEFoHHHEoIIoo", "size": 6, "moves": 6, "solution": ["D<1", "Fv1", "F<3", "Bv2", "Bv2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBCoAAoBCooDDDooEFooGGEFoHHHEoIIoo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Fv1,F<3,Bv2,Bv2,A>4\n"]}} {"board": "oBoooooBoCCCDBoEEEDAAoFoDGGoFHIIooFH", "size": 6, "moves": 8, "solution": ["A>1", "G>1", "I>2", "Bv3", "B<2", "D<2", "F^3", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoooooBoCCCDBoEEEDAAoFoDGGoFHIIooFH\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,G>1,I>2,Bv3,B<2,D<2,F^3,A>2\n"]}} {"board": "ooBCCCooBooooooDDDEooAAFEooooFEoGGGF", "size": 6, "moves": 5, "solution": ["Bv3", "B<1", "C<1", "F^3", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBCCCooBooooooDDDEooAAFEooooFEoGGGF\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv3,B<1,C<1,F^3,A>1\n"]}} {"board": "BoooooBoCDDDooCoEoooooEoooooFooAAoFo", "size": 6, "moves": 5, "solution": ["Cv1", "C<2", "E^1", "F^1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoooooBoCDDDooCoEoooooEoooooFooAAoFo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,C<2,E^1,F^1,A>3\n"]}} {"board": "AAooBoooooBoCDEFGGCDEFoHCDEIIHoooJJo", "size": 6, "moves": 7, "solution": ["Dv1", "Dv1", "D^2", "E<3", "Bv1", "Bv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAooBoooooBoCDEFGGCDEFoHCDEIIHoooJJo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,Dv1,D^2,E<3,Bv1,Bv1,A>4\n"]}} {"board": "ooooBooAAoBooCooBooCoDDDoooEEEoooooo", "size": 6, "moves": 6, "solution": ["A>1", "C^1", "D<2", "E<2", "Bv2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBooAAoBooCooBooCoDDDoooEEEoooooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,C^1,D<2,E<2,Bv2,A>2\n"]}} {"board": "oooBBBCooDDDCAAoEFCGGGEFoHIIIooHoJJJ", "size": 6, "moves": 5, "solution": ["B<2", "D<2", "E^2", "F^2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBCooDDDCAAoEFCGGGEFoHIIIooHoJJJ\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,D<2,E^2,F^2,A>3\n"]}} {"board": "BBBoCoooAACDoEEoCDoFFGGoHIJJooHIoKKK", "size": 6, "moves": 5, "solution": ["Dv1", "F<1", "G<1", "Cv2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBoCoooAACDoEEoCDoFFGGoHIJJooHIoKKK\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,F<1,G<1,Cv2,A>2\n"]}} {"board": "ooooBoCCCDBooAADBoEEooooFGoHHHFGIIoo", "size": 6, "moves": 7, "solution": ["D^1", "A>1", "E>2", "G^2", "H<2", "Cv3", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoCCCDBooAADBoEEooooFGoHHHFGIIoo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>1,E>2,G^2,H<2,Cv3,A>2\n"]}} {"board": "AABCoDEEBCoDooBooDoooFFFoooooooooooo", "size": 6, "moves": 7, "solution": ["Bv1", "Bv1", "A>3", "D^1", "F<1", "Cv1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AABCoDEEBCoDooBooDoooFFFoooooooooooo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>3,D^1,F<1,Cv1,A>1\n"]}} {"board": "oBAAoCoBooDCEFooDCEFGHHHoFGIoJooGIoJ", "size": 6, "moves": 5, "solution": ["A>1", "G^3", "H<1", "Dv1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBAAoCoBooDCEFooDCEFGHHHoFGIoJooGIoJ\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,G^3,H<1,Dv1,A>1\n"]}} {"board": "oooooooBoCCCoBoooooAAoDEooFFDEoooGGE", "size": 6, "moves": 5, "solution": ["C<1", "E^3", "G<1", "Ev1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooBoCCCoBoooooAAoDEooFFDEoooGGE\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,E^3,G<1,Ev1,A>3\n"]}} {"board": "oooooooooooooooBBBoooCoDoAACEDoooCED", "size": 6, "moves": 5, "solution": ["B<3", "C^2", "D^2", "E^2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooooooBBBoooCoDoAACEDoooCED\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<3,C^2,D^2,E^2,A>3\n"]}} {"board": "BCooooBCoDDDoCEEEooAAFoGoooFoGoHHHoG", "size": 6, "moves": 5, "solution": ["D<1", "G^3", "H<1", "Gv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BCooooBCoDDDoCEEEooAAFoGoooFoGoHHHoG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,G^3,H<1,Gv1,A>3\n"]}} {"board": "BAACoDBooCoDoEFoGHoEFoGHIEJJJHIKKLLL", "size": 6, "moves": 7, "solution": ["Cv1", "I^1", "K<1", "L<1", "Hv1", "Cv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BAACoDBooCoDoEFoGHoEFoGHIEJJJHIKKLLL\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,I^1,K<1,L<1,Hv1,Cv1,A>3\n"]}} {"board": "BBBoCoooAACooDDoCoooEFFFGoEoHHGIIooo", "size": 6, "moves": 10, "solution": ["B>1", "G^4", "E<1", "F^1", "H<4", "I<1", "Fv2", "F<2", "Dv2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBoCoooAACooDDoCoooEFFFGoEoHHGIIooo\nOptimal length (moves): 10\nReturn only the and blocks.", "\nShortest path found.\n\n\nB>1,G^4,E<1,F^1,H<4,I<1,Fv2,F<2,Dv2,A>2\n"]}} {"board": "oAAoBooCDDBoECooBoECoFFFEooooooooooo", "size": 6, "moves": 5, "solution": ["A>1", "C^1", "F<2", "Cv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAoBooCDDBoECooBoECoFFFEooooooooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,C^1,F<2,Cv1,A>2\n"]}} {"board": "BoooooBooooCBDDDoCoooEFCAAoEFooooEFo", "size": 6, "moves": 6, "solution": ["F^2", "A>1", "Bv3", "D<1", "F^2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoooooBooooCBDDDoCoooEFCAAoEFooooEFo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^2,A>1,Bv3,D<1,F^2,A>3\n"]}} {"board": "ooooBoAAoCBooooCoooooCDDoEEoFFoooooo", "size": 6, "moves": 5, "solution": ["C^1", "D<3", "Bv2", "Bv2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoAAoCBooooCoooooCDDoEEoFFoooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D<3,Bv2,Bv2,A>4\n"]}} {"board": "AAoBCooooBCoooDoEEooDFFFoGGoooHHHooo", "size": 6, "moves": 6, "solution": ["D^2", "E<4", "Bv1", "Bv1", "Bv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoBCooooBCoooDoEEooDFFFoGGoooHHHooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,E<4,Bv1,Bv1,Bv1,A>4\n"]}} {"board": "oBAAoCoBoooCDoEEECDFFGGGoHoooooHIIoo", "size": 6, "moves": 5, "solution": ["D^1", "F<1", "G<1", "Cv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBAAoCoBoooCDoEEECDFFGGGoHoooooHIIoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,F<1,G<1,Cv1,A>2\n"]}} {"board": "oAABoooCCBDooooEDooooEFFoGHEoooGHIII", "size": 6, "moves": 6, "solution": ["G^1", "H^1", "I<3", "Ev1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAABoooCCBDooooEDooooEFFoGHEoooGHIII\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nG^1,H^1,I<3,Ev1,Bv1,A>3\n"]}} {"board": "oooooBoooooBAAoooBooCDDoooCEEEooCooo", "size": 6, "moves": 5, "solution": ["A>3", "C^2", "E<1", "Bv3", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoooooBAAoooBooCDDoooCEEEooCooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>3,C^2,E<1,Bv3,A>1\n"]}} {"board": "ooAABCooDDBCooooECFFFoEoGGoHHoIIJJKK", "size": 6, "moves": 5, "solution": ["Cv1", "H<1", "Ev1", "Bv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAABCooDDBCooooECFFFoEoGGoHHoIIJJKK\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,H<1,Ev1,Bv1,A>2\n"]}} {"board": "ooooooBoCDDDBoCoooooCooEAAoooEoooooE", "size": 6, "moves": 5, "solution": ["A>3", "Cv1", "C<1", "E^2", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooBoCDDDBoCoooooCooEAAoooEoooooE\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>3,Cv1,C<1,E^2,A>1\n"]}} {"board": "oooooBCoAAoBCoDooBCoDEEEFFDooooooooo", "size": 6, "moves": 5, "solution": ["A>1", "D^2", "E<1", "Cv2", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBCoAAoBCoDooBCoDEEEFFDooooooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,D^2,E<1,Cv2,A>1\n"]}} {"board": "ooooBCooAABCooooBooDooEEoDoFFooDoooo", "size": 6, "moves": 5, "solution": ["E<2", "Cv2", "F<1", "Bv2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBCooAABCooooBooDooEEoDoFFooDoooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<2,Cv2,F<1,Bv2,A>2\n"]}} {"board": "ooBoooooBCCCooooDoAAooDEooooDEoooooE", "size": 6, "moves": 5, "solution": ["Bv4", "B<2", "C^2", "D^3", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoooooBCCCooooDoAAooDEooooDEoooooE\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv4,B<2,C^2,D^3,A>4\n"]}} {"board": "oBBBCoooooCoAAooCoDEoFFoDEGHHIDoGooI", "size": 6, "moves": 7, "solution": ["G^3", "G<1", "H<1", "Cv3", "B>2", "C^1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBCoooooCoAAooCoDEoFFoDEGHHIDoGooI\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nG^3,G<1,H<1,Cv3,B>2,C^1,A>4\n"]}} {"board": "ooooooooAABoooooBCoDDoBCEoFGGCEoFooo", "size": 6, "moves": 5, "solution": ["D<1", "F^2", "G<1", "Bv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooAABoooooBCoDDoBCEoFGGCEoFooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,F^2,G<1,Bv1,A>2\n"]}} {"board": "AABCooDoBCEoDFFFEoooGGHooIIoHoooJJHo", "size": 6, "moves": 11, "solution": ["E^1", "F>2", "G<2", "I<1", "Bv3", "A>1", "D^1", "E<3", "Cv1", "Cv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AABCooDoBCEoDFFFEoooGGHooIIoHoooJJHo\nOptimal length (moves): 11\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,F>2,G<2,I<1,Bv3,A>1,D^1,E<3,Cv1,Cv1,A>3\n"]}} {"board": "ooooBoAAooBoooCCooDDEoFoGoEoFoGoEHHo", "size": 6, "moves": 6, "solution": ["C<2", "E^1", "H<1", "Fv1", "Bv2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoAAooBoooCCooDDEoFoGoEoFoGoEHHo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,E^1,H<1,Fv1,Bv2,A>4\n"]}} {"board": "oAAoBoooooBooCCoBoDEoFFFDEGoHHDEGooo", "size": 6, "moves": 6, "solution": ["A>1", "C>1", "E^3", "F<2", "Cv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAoBoooooBooCCoBoDEoFFFDEGoHHDEGooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,C>1,E^3,F<2,Cv1,A>2\n"]}} {"board": "oooooBooCAABDDCEoBooCEFFGGHHHoIIoJJJ", "size": 6, "moves": 13, "solution": ["H>1", "Cv1", "A<3", "D^2", "E^1", "F<4", "Bv2", "Cv1", "A>3", "D^1", "H<1", "Bv2", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBooCAABDDCEoBooCEFFGGHHHoIIoJJJ\nOptimal length (moves): 13\nReturn only the and blocks.", "\nShortest path found.\n\n\nH>1,Cv1,A<3,D^2,E^1,F<4,Bv2,Cv1,A>3,D^1,H<1,Bv2,A>1\n"]}} {"board": "AABCooooBCooooDDDoEooFFFEoooGGHHHIIo", "size": 6, "moves": 5, "solution": ["D>1", "Bv3", "C<3", "Bv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AABCooooBCooooDDDoEooFFFEoooGGHHHIIo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD>1,Bv3,C<3,Bv1,A>4\n"]}} {"board": "AAoBCDEooBCDEooFCoEGGFHHooooooooIIJJ", "size": 6, "moves": 10, "solution": ["A>1", "Dv1", "D^1", "G<1", "I<1", "Fv2", "Cv1", "G<2", "Cv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoBCDEooBCDEooFCoEGGFHHooooooooIIJJ\nOptimal length (moves): 10\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,Dv1,D^1,G<1,I<1,Fv2,Cv1,G<2,Cv1,A>3\n"]}} {"board": "oAAoBCDoEEBCDooFFCDooGGGooooHHIIIooo", "size": 6, "moves": 5, "solution": ["F<1", "Bv1", "G<1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAoBCDoEEBCDooFFCDooGGGooooHHIIIooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Bv1,G<1,Bv1,A>3\n"]}} {"board": "ooooooooAAoBoooooBoooCDDEEECoooFFCoo", "size": 6, "moves": 6, "solution": ["A<1", "C^3", "D<3", "Bv2", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooAAoBoooooBoooCDDEEECoooFFCoo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<1,C^3,D<3,Bv2,Bv1,A>3\n"]}} {"board": "ooBoooAABoooooBooCDEEooCDFFFoCDooooo", "size": 6, "moves": 9, "solution": ["C^1", "E>2", "F>2", "Bv2", "A>3", "C^1", "F<1", "Cv1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoooAABoooooBooCDEEooCDFFFoCDooooo\nOptimal length (moves): 9\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,E>2,F>2,Bv2,A>3,C^1,F<1,Cv1,A>1\n"]}} {"board": "oBBBoCooAADCEooFDoEooFGGEHHoIIoooooo", "size": 6, "moves": 5, "solution": ["Fv2", "F<2", "Cv2", "Cv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBoCooAADCEooFDoEooFGGEHHoIIoooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nFv2,F<2,Cv2,Cv1,A>2\n"]}} {"board": "ooBoooAABCooooBCoooooCoDEFFoGDEHHHGD", "size": 6, "moves": 5, "solution": ["Cv1", "E^2", "F<1", "Bv2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoooAABCooooBCoooooCoDEFFoGDEHHHGD\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,E^2,F<1,Bv2,A>4\n"]}} {"board": "ooAABCoDDoBCoEEoBoFGGoHHFooIIIFoJJJo", "size": 6, "moves": 6, "solution": ["Cv1", "F^3", "G<1", "H<2", "Cv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAABCoDDoBCoEEoBoFGGoHHFooIIIFoJJJo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,F^3,G<1,H<2,Cv1,A>2\n"]}} {"board": "BoCCCoBoooDoooooDooooEEEoAAoFoGGooFo", "size": 6, "moves": 5, "solution": ["C<1", "D^1", "E<2", "F^2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoCCCoBoooDoooooDooooEEEoAAoFoGGooFo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,D^1,E<2,F^2,A>3\n"]}} {"board": "ooAABCooDEBCFFDEoCGHHIIIGoJKKKGoJLLo", "size": 6, "moves": 9, "solution": ["Bv1", "A>1", "C^1", "F>1", "G^3", "H<1", "I<1", "Dv1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAABCooDEBCFFDEoCGHHIIIGoJKKKGoJLLo\nOptimal length (moves): 9\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>1,C^1,F>1,G^3,H<1,I<1,Dv1,A>1\n"]}} {"board": "oBCCCDEBoooDEoFooGAAFoHGIJJJHoIoKKHo", "size": 6, "moves": 6, "solution": ["Bv1", "B<1", "F^1", "Gv2", "G^3", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBCCCDEBoooDEoFooGAAFoHGIJJJHoIoKKHo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,B<1,F^1,Gv2,G^3,A>4\n"]}} {"board": "oAAoBCooooBCoooDDCoEEoFFGGoHHHoooIIo", "size": 6, "moves": 5, "solution": ["D<1", "Bv1", "F<1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAoBCooooBCoooDDCoEEoFFGGoHHHoooIIo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv1,F<1,Bv1,A>3\n"]}} {"board": "AAooBCDEFFBCDEoGGCHIIIJKHLLoJKHoooJo", "size": 6, "moves": 5, "solution": ["G<1", "Bv1", "Kv1", "Bv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAooBCDEFFBCDEoGGCHIIIJKHLLoJKHoooJo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,Bv1,Kv1,Bv1,A>4\n"]}} {"board": "oBoCCCoBDEEEooDFFFoGAAoHIGooJHIoooJH", "size": 6, "moves": 7, "solution": ["C<1", "A>1", "Dv2", "D<1", "E<1", "H^3", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoCCCoBDEEEooDFFFoGAAoHIGooJHIoooJH\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,A>1,Dv2,D<1,E<1,H^3,A>1\n"]}} {"board": "oAABoooooBCCoDEFFFoDEoooGDHHHoGIIooo", "size": 6, "moves": 7, "solution": ["H>1", "Ev1", "I>1", "Dv1", "D<3", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAABoooooBCCoDEFFFoDEoooGDHHHoGIIooo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nH>1,Ev1,I>1,Dv1,D<3,Bv1,A>3\n"]}} {"board": "oooBBBAAoooCoooDoCEooDoCEFFGGGEooHHH", "size": 6, "moves": 6, "solution": ["A>1", "E^2", "F<1", "G<1", "Dv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBAAoooCoooDoCEooDoCEFFGGGEooHHH\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,E^2,F<1,G<1,Dv1,A>3\n"]}} {"board": "AAoBoCooDBoCooDEFFoooEoGoHHEIGJJooIo", "size": 6, "moves": 7, "solution": ["D^1", "Ev1", "E<4", "Bv1", "Bv1", "Bv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoBoCooDBoCooDEFFoooEoGoHHEIGJJooIo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,Ev1,E<4,Bv1,Bv1,Bv1,A>4\n"]}} {"board": "ooBooCooBoDCoAAoDCEEFFDoGHoIIIGHooJJ", "size": 6, "moves": 12, "solution": ["D^1", "A>1", "F>2", "E>2", "H^3", "F<2", "G<2", "I<2", "J<2", "Cv3", "Cv3", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBooCooBoDCoAAoDCEEFFDoGHoIIIGHooJJ\nOptimal length (moves): 12\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>1,F>2,E>2,H^3,F<2,G<2,I<2,J<2,Cv3,Cv3,A>2\n"]}} {"board": "oooooooooBBBoCCCDoooooDoAAoEDooooEFF", "size": 6, "moves": 5, "solution": ["B<2", "C<1", "D^1", "E^2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBBBoCCCDoooooDoAAoEDooooEFF\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,C<1,D^1,E^2,A>4\n"]}} {"board": "ooooBCoAAoBCDoEoBCDFEGGGoFoooooFHHoo", "size": 6, "moves": 8, "solution": ["A>1", "F^3", "H<2", "Fv2", "F<2", "Cv2", "Cv2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBCoAAoBCDoEoBCDFEGGGoFoooooFHHoo\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,F^3,H<2,Fv2,F<2,Cv2,Cv2,A>2\n"]}} {"board": "oooooBoCoooBoCAAoBoooDEEFFoDooooGGoo", "size": 6, "moves": 5, "solution": ["G<1", "Dv1", "D<1", "Bv3", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoCoooBoCAAoBoooDEEFFoDooooGGoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,Dv1,D<1,Bv3,A>2\n"]}} {"board": "AAoBooooCBoooDCEEEoDCoFFoooooooooooo", "size": 6, "moves": 5, "solution": ["Cv2", "Cv1", "C<3", "Bv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoBooooCBoooDCEEEoDCoFFoooooooooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,Cv1,C<3,Bv1,A>4\n"]}} {"board": "oooooBooAAoBoooooBCoDEEECoDFFFCoDoGG", "size": 6, "moves": 6, "solution": ["A>1", "D^3", "E<1", "F<1", "Cv2", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBooAAoBoooooBCoDEEECoDFFFCoDoGG\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,D^3,E<1,F<1,Cv2,A>1\n"]}} {"board": "BBBoooAACoDEooCoDEoFFFoooGGoHHooIIoo", "size": 6, "moves": 7, "solution": ["G<1", "H<2", "Dv3", "Dv3", "D>2", "Cv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBoooAACoDEooCoDEoFFFoooGGoHHooIIoo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,H<2,Dv3,Dv3,D>2,Cv1,A>4\n"]}} {"board": "ooooooooooBooAAoBoooooBooCoDDDoCEEoo", "size": 6, "moves": 5, "solution": ["A>1", "C^2", "D<2", "Bv2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooBooAAoBoooooBooCoDDDoCEEoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,C^2,D<2,Bv2,A>2\n"]}} {"board": "ooAAoBoooooBCCDEEEFGDoHHFGIJJJoGIooo", "size": 6, "moves": 5, "solution": ["A>1", "D^2", "E<1", "Cv1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAAoBoooooBCCDEEEFGDoHHFGIJJJoGIooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,D^2,E<1,Cv1,A>1\n"]}} {"board": "oooBoooooBoooAABooooCCooDoEEEoDoooFF", "size": 6, "moves": 5, "solution": ["C<1", "D^2", "E<2", "Bv3", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoooooBoooAABooooCCooDoEEEoDoooFF\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,D^2,E<2,Bv3,A>3\n"]}} {"board": "BooCCCBoooDoBoooDoooEoFGAAEoFGHHoooG", "size": 6, "moves": 6, "solution": ["C<2", "D^1", "E^1", "F^1", "G^2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BooCCCBoooDoBoooDoooEoFGAAEoFGHHoooG\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,D^1,E^1,F^1,G^2,A>4\n"]}} {"board": "oAAoBoooCoBoooCoBoooCDDoEooFFFEooGGo", "size": 6, "moves": 6, "solution": ["A<1", "C^1", "D<3", "Bv1", "Bv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAoBoooCoBoooCoBoooCDDoEooFFFEooGGo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<1,C^1,D<3,Bv1,Bv1,A>4\n"]}} {"board": "BoCDooBoCDoooAADEFooGGEFHoIIJFHKKoJo", "size": 6, "moves": 6, "solution": ["E^2", "Fv1", "F<1", "I<1", "Dv3", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoCDooBoCDoooAADEFooGGEFHoIIJFHKKoJo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^2,Fv1,F<1,I<1,Dv3,A>3\n"]}} {"board": "oBoCoooBoCoDAAoCoDoEEEoooFFFGHIIJJGH", "size": 6, "moves": 8, "solution": ["D^1", "E<1", "F<1", "G^1", "H^1", "J>2", "Cv3", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoCoooBoCoDAAoCoDoEEEoooFFFGHIIJJGH\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E<1,F<1,G^1,H^1,J>2,Cv3,A>4\n"]}} {"board": "oAABoCoooBoCoDDDoCoooEEEFoGHHHFoGoII", "size": 6, "moves": 5, "solution": ["D<1", "Bv1", "E<1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAABoCoooBoCoDDDoCoooEEEFoGHHHFoGoII\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv1,E<1,Bv1,A>3\n"]}} {"board": "oooooBAACooBooCDoBoooDEEoooDoooooooo", "size": 6, "moves": 6, "solution": ["Cv3", "C^2", "D<3", "Bv2", "Bv2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBAACooBooCDoBoooDEEoooDoooooooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv3,C^2,D<3,Bv2,Bv2,A>4\n"]}} {"board": "oAAoBoooCDBoooCDBoEECDFoooooFoooGGHH", "size": 6, "moves": 5, "solution": ["G<2", "H<2", "Fv1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAoBoooCDBoooCDBoEECDFoooooFoooGGHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<2,H<2,Fv1,Bv1,A>3\n"]}} {"board": "oooBBBAAoCDEooFCDEoGFoDoHGFoIIHooJJo", "size": 6, "moves": 9, "solution": ["Cv1", "Dv1", "D^1", "G^1", "H^2", "I<4", "Cv1", "Cv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBAAoCDEooFCDEoGFoDoHGFoIIHooJJo\nOptimal length (moves): 9\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Dv1,D^1,G^1,H^2,I<4,Cv1,Cv1,A>4\n"]}} {"board": "AAooBoCCooBoooooBooooDEEoFFDoooooDoo", "size": 6, "moves": 5, "solution": ["D^3", "E<3", "Bv1", "Bv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAooBoCCooBoooooBooooDEEoFFDoooooDoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^3,E<3,Bv1,Bv1,A>4\n"]}} {"board": "BAAooCBoDDDCBoEFFFGHEoooGHEIIIGoJJoo", "size": 6, "moves": 5, "solution": ["J>1", "Ev1", "E<1", "Cv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BAAooCBoDDDCBoEFFFGHEoooGHEIIIGoJJoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nJ>1,Ev1,E<1,Cv1,A>3\n"]}} {"board": "ooooBooAAoBooooooooCoDDDoCoooooCoEEo", "size": 6, "moves": 5, "solution": ["A>1", "C^3", "D<2", "Cv2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBooAAoBooooooooCoDDDoCoooooCoEEo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,C^3,D<2,Cv2,A>2\n"]}} {"board": "ooBoooAABCooDDDCoooooEEooFooGGoFoooo", "size": 6, "moves": 5, "solution": ["E<3", "Cv2", "C>3", "Bv2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoooAABCooDDDCoooooEEooFooGGoFoooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<3,Cv2,C>3,Bv2,A>4\n"]}} {"board": "oAABCooDDBCoooEEFGHHHIFGJJJIFKoooIoK", "size": 6, "moves": 5, "solution": ["E<1", "Bv1", "Fv1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAABCooDDBCoooEEFGHHHIFGJJJIFKoooIoK\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv1,Fv1,Bv1,A>3\n"]}} {"board": "ooooooooBCCCDoBoooDoAAoEDooooEoooooE", "size": 6, "moves": 5, "solution": ["A>1", "Bv1", "B<1", "E^3", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooBCCCDoBoooDoAAoEDooooEoooooE\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,Bv1,B<1,E^3,A>1\n"]}} {"board": "oooBooooCBooAACBooDDooooEoooooEooFFF", "size": 6, "moves": 6, "solution": ["C^1", "D>1", "E^1", "F<3", "Cv3", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBooooCBooAACBooDDooooEoooooEooFFF\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D>1,E^1,F<3,Cv3,A>4\n"]}} {"board": "ooBoooooBoooooBCCCoooooDooAAoDoooooD", "size": 6, "moves": 5, "solution": ["A>1", "Bv3", "B<1", "D^2", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoooooBoooooBCCCoooooDooAAoDoooooD\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,Bv3,B<1,D^2,A>1\n"]}} {"board": "ooooooAABoCDooBECDoFFEoGoooHHGoooIII", "size": 6, "moves": 7, "solution": ["Cv1", "F<1", "Bv1", "I<1", "Gv1", "Bv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooAABoCDooBECDoFFEoGoooHHGoooIII\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,F<1,Bv1,I<1,Gv1,Bv1,A>4\n"]}} {"board": "AAooBoCDEEBoCDFFFoCGoHHHoGIIIooooJJo", "size": 6, "moves": 5, "solution": ["A>2", "D^1", "F<1", "Cv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAooBoCDEEBoCDFFFoCGoHHHoGIIIooooJJo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,D^1,F<1,Cv1,A>2\n"]}} {"board": "oooooooBBBooooCCCoooooDoAAEoDoooEFFo", "size": 6, "moves": 5, "solution": ["C<1", "D^3", "D>2", "E^2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooBBBooooCCCoooooDoAAEoDoooEFFo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,D^3,D>2,E^2,A>4\n"]}} {"board": "oooBBBoooooCoooooCDooEoCDooEoFDAAEoF", "size": 6, "moves": 5, "solution": ["B<1", "C^1", "E^1", "F^1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBoooooCoooooCDooEoCDooEoFDAAEoF\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,C^1,E^1,F^1,A>3\n"]}} {"board": "BAAoCoBoDDCoBoooCoEFooGoEFoHGoEFoHII", "size": 6, "moves": 5, "solution": ["H^1", "I<2", "Hv1", "Cv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BAAoCoBoDDCoBoooCoEFooGoEFoHGoEFoHII\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nH^1,I<2,Hv1,Cv1,A>3\n"]}} {"board": "oooooBAAoCoBDooCooDEECFFoooGGGooooHH", "size": 6, "moves": 8, "solution": ["C^1", "F<1", "G<3", "H<1", "Cv4", "E>1", "Bv2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBAAoCoBDooCooDEECFFoooGGGooooHH\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,F<1,G<3,H<1,Cv4,E>1,Bv2,A>4\n"]}} {"board": "oooooBooCAABDoCoooDEEFFFDGGoHHoooIII", "size": 6, "moves": 5, "solution": ["D^2", "E<1", "F<1", "Cv2", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBooCAABDoCoooDEEFFFDGGoHHoooIII\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,E<1,F<1,Cv2,A>1\n"]}} {"board": "BoooCoBoAACoBoooCoDooEEEDFGGGoDFHHII", "size": 6, "moves": 5, "solution": ["F^3", "F<2", "G<1", "Cv2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoooCoBoAACoBoooCoDooEEEDFGGGoDFHHII\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^3,F<2,G<1,Cv2,A>2\n"]}} {"board": "oAABCoDEEBCoDooFFFGHHIJJGooIooGoooKK", "size": 6, "moves": 5, "solution": ["D^1", "F<3", "Cv1", "Cv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAABCoDEEBCoDooFFFGHHIJJGooIooGoooKK\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,F<3,Cv1,Cv1,A>3\n"]}} {"board": "oBoooooBCCCoAAooDEooooDEFFFGGEooHHoo", "size": 6, "moves": 6, "solution": ["A>2", "Bv2", "B<1", "D^2", "Ev1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoooooBCCCoAAooDEooooDEFFFGGEooHHoo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,Bv2,B<1,D^2,Ev1,A>2\n"]}} {"board": "oooBBBooooCDoAAoCDooEooDooEFFFooEooo", "size": 6, "moves": 7, "solution": ["B<2", "C^1", "A>2", "E^2", "F<1", "Ev2", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBooooCDoAAoCDooEooDooEFFFooEooo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,C^1,A>2,E^2,F<1,Ev2,A>1\n"]}} {"board": "oBoCCCoBoDDDEBoFFFEooAAGHHHIoGoJJIoG", "size": 6, "moves": 5, "solution": ["C<1", "D<1", "F<1", "G^3", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoCCCoBoDDDEBoFFFEooAAGHHHIoGoJJIoG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,D<1,F<1,G^3,A>1\n"]}} {"board": "AAooBoooCoBoDoCEFFDooEoGDooEoGHHoooo", "size": 6, "moves": 5, "solution": ["Cv2", "Dv1", "D<2", "Bv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAooBoooCoBoDoCEFFDooEoGDooEoGHHoooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,Dv1,D<2,Bv1,A>4\n"]}} {"board": "ooBBBoCooooDCoEEEDAAoFGDoooFGoHHooGo", "size": 6, "moves": 6, "solution": ["B<1", "D^1", "E<1", "Fv1", "F^3", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBoCooooDCoEEEDAAoFGDoooFGoHHooGo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,D^1,E<1,Fv1,F^3,A>4\n"]}} {"board": "oooBCooAABCoDoooooDoEEEooooFFooooooo", "size": 6, "moves": 5, "solution": ["D^1", "E<2", "Bv2", "Bv2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBCooAABCoDoooooDoEEEooooFFooooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E<2,Bv2,Bv2,A>3\n"]}} {"board": "BBBoCooAADCEoFGDoEoFGDoooFoHHoIIIooo", "size": 6, "moves": 5, "solution": ["Cv2", "Dv1", "H>1", "Cv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBoCooAADCEoFGDoEoFGDoooFoHHoIIIooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,Dv1,H>1,Cv1,A>3\n"]}} {"board": "BAACooBDoCEFBDGGEFHoIoJJHKIoLLHKIooo", "size": 6, "moves": 8, "solution": ["E^1", "F^1", "G>2", "Cv3", "F<2", "Cv1", "Cv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BAACooBDoCEFBDGGEFHoIoJJHKIoLLHKIooo\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,F^1,G>2,Cv3,F<2,Cv1,Cv1,A>3\n"]}} {"board": "ooBoooAABoCoooooCDoEFFCDoEoooDoooooo", "size": 6, "moves": 5, "solution": ["Cv1", "Ev1", "E<2", "Bv2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoooAABoCoooooCDoEFFCDoEoooDoooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Ev1,E<2,Bv2,A>4\n"]}} {"board": "oooBBBooCCCDoooooDAAoEoDoooEFFoooEoo", "size": 6, "moves": 5, "solution": ["B<3", "C<2", "D^1", "E^3", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBooCCCDoooooDAAoEoDoooEFFoooEoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<3,C<2,D^1,E^3,A>4\n"]}} {"board": "oBooCooBAACDEEFFoDoGGoHHIIoooJoKKKoJ", "size": 6, "moves": 5, "solution": ["G<1", "H<2", "Cv2", "Cv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBooCooBAACDEEFFoDoGGoHHIIoooJoKKKoJ\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,H<2,Cv2,Cv1,A>2\n"]}} {"board": "oBoCCCoBooDoEoAADoEFFoDoEooGGooHHoII", "size": 6, "moves": 5, "solution": ["G<1", "H<1", "I<2", "Dv2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoCCCoBooDoEoAADoEFFoDoEooGGooHHoII\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,H<1,I<2,Dv2,A>2\n"]}} {"board": "BoCCCoBDooooBDoEEEoDooFooAAoFoooGGoo", "size": 6, "moves": 5, "solution": ["A>1", "Dv2", "D<2", "F^1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoCCCoBDooooBDoEEEoDooFooAAoFoooGGoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,Dv2,D<2,F^1,A>2\n"]}} {"board": "ooBoCoAABoCoooooCooDDDooooEEoooooooo", "size": 6, "moves": 6, "solution": ["D>2", "E<2", "Bv4", "C<2", "Bv2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoCoAABoCoooooCooDDDooooEEoooooooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nD>2,E<2,Bv4,C<2,Bv2,A>4\n"]}} {"board": "ooooBCooooBCAAooBCoDEoFFoDEGGGHHHooo", "size": 6, "moves": 8, "solution": ["E^3", "A>2", "E^1", "F<2", "G<2", "Cv3", "Cv3", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBCooooBCAAooBCoDEoFFoDEGGGHHHooo\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^3,A>2,E^1,F<2,G<2,Cv3,Cv3,A>2\n"]}} {"board": "ooAABoCoooBoCooDEoCoFDEoGGFDHHooFooo", "size": 6, "moves": 6, "solution": ["D^1", "F^2", "H<2", "Fv1", "Bv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAABoCoooBoCooDEoCoFDEoGGFDHHooFooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,F^2,H<2,Fv1,Bv1,A>2\n"]}} {"board": "oBBBCoAAooCoooooCoDEFFGGDEHHHoDooIII", "size": 6, "moves": 8, "solution": ["A>2", "D^3", "E^2", "F<2", "G<2", "H<1", "Dv2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBCoAAooCoooooCoDEFFGGDEHHHoDooIII\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,D^3,E^2,F<2,G<2,H<1,Dv2,A>2\n"]}} {"board": "oAABoooCoBoDoCEEEDoCoooDoFFFooooGGHH", "size": 6, "moves": 5, "solution": ["F>1", "Cv2", "D<2", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAABoooCoBoDoCEEEDoCoooDoFFFooooGGHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nF>1,Cv2,D<2,Bv1,A>3\n"]}} {"board": "oooAABoCCooBoDEooBoDEFFFooEGooHHHGoo", "size": 6, "moves": 5, "solution": ["C<1", "E^2", "F<1", "Cv1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooAABoCCooBoDEooBoDEFFFooEGooHHHGoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,E^2,F<1,Cv1,A>1\n"]}} {"board": "BooCCCBooDDDBoEooFAAEGoFHooGoFHoooII", "size": 6, "moves": 6, "solution": ["C<1", "D<1", "Ev2", "E^2", "Fv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BooCCCBooDDDBoEooFAAEGoFHooGoFHoooII\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,D<1,Ev2,E^2,Fv1,A>4\n"]}} {"board": "ooBCooAABCoooDBoEEoDoooFooGGGFHHoooF", "size": 6, "moves": 12, "solution": ["Dv1", "D<1", "F^2", "G>1", "Bv3", "D<3", "Bv2", "A>3", "F^2", "G<1", "Cv1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBCooAABCoooDBoEEoDoooFooGGGFHHoooF\nOptimal length (moves): 12\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,D<1,F^2,G>1,Bv3,D<3,Bv2,A>3,F^2,G<1,Cv1,A>1\n"]}} {"board": "AAoBCDoooBCDEooBoDEooFFoGHHHooGooIII", "size": 6, "moves": 5, "solution": ["Cv1", "Cv1", "F<2", "Bv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoBCDoooBCDEooBoDEooFFoGHHHooGooIII\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Cv1,F<2,Bv1,A>4\n"]}} {"board": "BoooooBoooCoAADoCoooDoCoooDoEEoooFFo", "size": 6, "moves": 6, "solution": ["D^1", "E<4", "F<3", "Cv2", "Cv2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoooooBoooCoAADoCoooDoCoooDoEEoooFFo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E<4,F<3,Cv2,Cv2,A>4\n"]}} {"board": "BooooCBDoooCBDAAoCooooooEEFGGGooFHHH", "size": 6, "moves": 6, "solution": ["A>1", "F^2", "G<1", "H<1", "Cv3", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BooooCBDoooCBDAAoCooooooEEFGGGooFHHH\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,F^2,G<1,H<1,Cv3,A>1\n"]}} {"board": "ooooBooCCCBoooooDoooAADooooEFFoooEGG", "size": 6, "moves": 7, "solution": ["C<1", "A<1", "E^3", "F<2", "G<2", "Ev2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBooCCCBoooooDoooAADooooEFFoooEGG\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,A<1,E^3,F<2,G<2,Ev2,A>3\n"]}} {"board": "oBBBooooCDDDooCoooooCEFoooGEFoAAGoFo", "size": 6, "moves": 5, "solution": ["B>2", "C^1", "F^1", "G^1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBooooCDDDooCoooooCEFoooGEFoAAGoFo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB>2,C^1,F^1,G^1,A>4\n"]}} {"board": "oooooooBoCCCoBoDDDooEoooAAEoFoooooFo", "size": 6, "moves": 5, "solution": ["B^1", "E^3", "E<2", "F^2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooBoCCCoBoDDDooEoooAAEoFoooooFo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,E^3,E<2,F^2,A>4\n"]}} {"board": "ooooooooooBoooAABoCoooBoCoDDEECooooo", "size": 6, "moves": 5, "solution": ["C^2", "D<2", "E<2", "Cv2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooooooBoooAABoCoooBoCoDDEECooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,D<2,E<2,Cv2,A>2\n"]}} {"board": "oAABCDEEEBCDFoGoCDFoGoHHIIoooooJJKKK", "size": 6, "moves": 7, "solution": ["Bv1", "J<1", "Gv2", "G<2", "Bv1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAABCDEEEBCDFoGoCDFoGoHHIIoooooJJKKK\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,J<1,Gv2,G<2,Bv1,Bv1,A>3\n"]}} {"board": "oBBBCoDoAACoDooEEEoFFoGGHHHoIJooooIJ", "size": 6, "moves": 5, "solution": ["E<2", "F<1", "G<2", "Cv2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBCoDoAACoDooEEEoFFoGGHHHoIJooooIJ\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<2,F<1,G<2,Cv2,A>2\n"]}} {"board": "oooBBBooCCCDoooEoDoAAEoDoooEFFoGGGoo", "size": 6, "moves": 5, "solution": ["B<3", "C<2", "D^1", "E^2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBooCCCDoooEoDoAAEoDoooEFFoGGGoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<3,C<2,D^1,E^2,A>3\n"]}} {"board": "BCCCoDBoEEEDFooooDFoGGGoAAoHooIIoHJJ", "size": 6, "moves": 6, "solution": ["A>1", "I>1", "Fv2", "F<2", "H^2", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BCCCoDBoEEEDFooooDFoGGGoAAoHooIIoHJJ\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,I>1,Fv2,F<2,H^2,A>3\n"]}} {"board": "oooooBoooooBCCCDoooooDEoAAFDEoooFoEo", "size": 6, "moves": 7, "solution": ["Dv1", "C>3", "F^4", "D<3", "E^2", "F^2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBoooooBCCCDoooooDEoAAFDEoooFoEo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,C>3,F^4,D<3,E^2,F^2,A>4\n"]}} {"board": "oooooBCDoAABCDooEoFDoGEHFIIGoHFooGJJ", "size": 6, "moves": 5, "solution": ["G^1", "J<1", "Hv1", "Bv2", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooBCDoAABCDooEoFDoGEHFIIGoHFooGJJ\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nG^1,J<1,Hv1,Bv2,A>1\n"]}} {"board": "oBBBCoooAACDEEooCDooFGoDooFGHHIIIGoo", "size": 6, "moves": 8, "solution": ["A<1", "F^1", "G^2", "H<3", "Cv2", "Cv1", "Cv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBCoooAACDEEooCDooFGoDooFGHHIIIGoo\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<1,F^1,G^2,H<3,Cv2,Cv1,Cv1,A>3\n"]}} {"board": "ooBBBooAACDooooCDoEooCDoEooFFFEooGGG", "size": 6, "moves": 5, "solution": ["E^2", "F<3", "Dv1", "Dv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBooAACDooooCDoEooCDoEooFFFEooGGG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^2,F<3,Dv1,Dv1,A>3\n"]}} {"board": "oBBBoCoooDECoAADEFGHHHoFGIoooFoIJJJo", "size": 6, "moves": 5, "solution": ["B<1", "D^1", "E^1", "Fv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBoCoooDECoAADEFGHHHoFGIoooFoIJJJo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,D^1,E^1,Fv1,A>3\n"]}} {"board": "oBBBoCAAoooCooDDDEFooGoEFooGHHFIIoJJ", "size": 6, "moves": 7, "solution": ["D<2", "G^1", "H<1", "J<1", "Fv2", "Cv2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBoCAAoooCooDDDEFooGoEFooGHHFIIoJJ\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<2,G^1,H<1,J<1,Fv2,Cv2,A>4\n"]}} {"board": "ooooBoooooBooCAABDECoooDEooFFDEoooGG", "size": 6, "moves": 5, "solution": ["F<1", "G<2", "Bv3", "Cv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoooooBooCAABDECoooDEooFFDEoooGG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,G<2,Bv3,Cv1,A>2\n"]}} {"board": "ooooBoAAooBCooooBCDEooooDEFGHHDoFGoo", "size": 6, "moves": 6, "solution": ["Cv1", "F^2", "G^2", "H<2", "Bv2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoAAooBCooooBCDEooooDEFGHHDoFGoo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,F^2,G^2,H<2,Bv2,A>4\n"]}} {"board": "oooBoCAAoBoCoDDEEoFoooGHFIIoGHFJJJGo", "size": 6, "moves": 6, "solution": ["E>1", "Bv3", "D<1", "Hv1", "Bv2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBoCAAoBoCoDDEEoFoooGHFIIoGHFJJJGo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nE>1,Bv3,D<1,Hv1,Bv2,A>4\n"]}} {"board": "oAABoCoooBoCDDooEEFooGGGFHoIIIFHJJoo", "size": 6, "moves": 7, "solution": ["E<1", "G<1", "I<1", "Cv3", "D>1", "Bv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAABoCoooBoCDDooEEFooGGGFHoIIIFHJJoo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,G<1,I<1,Cv3,D>1,Bv1,A>3\n"]}} {"board": "oooooooooooooooBBBoooCDEAAoCDEoooCDE", "size": 6, "moves": 5, "solution": ["B<3", "C^2", "D^2", "E^2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooooooBBBoooCDEAAoCDEoooCDE\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<3,C^2,D^2,E^2,A>4\n"]}} {"board": "ooooBoCAAoBoCoDDBoCooooooEFGGGoEFooo", "size": 6, "moves": 8, "solution": ["Cv2", "A>1", "E^4", "D<2", "F^2", "G<2", "Cv2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoCAAoBoCoDDBoCooooooEFGGGoEFooo\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,A>1,E^4,D<2,F^2,G<2,Cv2,A>2\n"]}} {"board": "oAAoBCooDDBCooooBooEoFFFoEGHHHoEGIIo", "size": 6, "moves": 6, "solution": ["A>1", "Cv1", "E^3", "F<2", "Cv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAoBCooDDBCooooBooEoFFFoEGHHHoEGIIo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,Cv1,E^3,F<2,Cv1,A>2\n"]}} {"board": "oBooCooBoDCoAAoDCoEooDFFEoooGGoooHHH", "size": 6, "moves": 7, "solution": ["D^1", "F<3", "G<3", "H<3", "Cv3", "Cv3", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBooCooBoDCoAAoDCoEooDFFEoooGGoooHHH\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,F<3,G<3,H<3,Cv3,Cv3,A>4\n"]}} {"board": "ooAABCooooBCooDEECoFDooooFDooooFoGGo", "size": 6, "moves": 5, "solution": ["Cv1", "Dv1", "D<1", "Bv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAABCooooBCooDEECoFDooooFDooooFoGGo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Dv1,D<1,Bv1,A>2\n"]}} {"board": "ooBoooCoBoooCooDDDCooEoFoAAEoFoooEGG", "size": 6, "moves": 5, "solution": ["Cv2", "C<3", "E^2", "F^1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBoooCoBoooCooDDDCooEoFoAAEoFoooEGG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,C<3,E^2,F^1,A>3\n"]}} {"board": "ooooBoooAABoCoooooCoDoEoCoDoEoooDFFF", "size": 6, "moves": 5, "solution": ["D^1", "F<2", "Ev1", "Bv2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooBoooAABoCoooooCoDoEoCoDoEoooDFFF\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,F<2,Ev1,Bv2,A>2\n"]}} {"board": "oooBBBoooCoooooCoDAAEooDooEooDooEFFo", "size": 6, "moves": 6, "solution": ["E^3", "A>3", "Bv1", "B<1", "E^2", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBoooCoooooCoDAAEooDooEooDooEFFo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^3,A>3,Bv1,B<1,E^2,A>1\n"]}} {"board": "ooooooBoooooBooCCCBooDEFAAoDEFoooDoo", "size": 6, "moves": 7, "solution": ["A>1", "Bv2", "B<3", "D^2", "E^1", "F^1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooBoooooBooCCCBooDEFAAoDEFoooDoo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,Bv2,B<3,D^2,E^1,F^1,A>3\n"]}} {"board": "oooBCDAAoBCDEEEoCDoFFoooGooHIIGooHJJ", "size": 6, "moves": 7, "solution": ["H^2", "I<3", "Cv2", "Cv2", "Dv2", "Bv2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBCDAAoBCDEEEoCDoFFoooGooHIIGooHJJ\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nH^2,I<3,Cv2,Cv2,Dv2,Bv2,A>4\n"]}} {"board": "BooCCCBDoEEEBDAAFoGoHHFIGJooKIGJooKo", "size": 6, "moves": 5, "solution": ["C<2", "Dv1", "D<2", "F^2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BooCCCBDoEEEBDAAFoGoHHFIGJooKIGJooKo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,Dv1,D<2,F^2,A>2\n"]}} {"board": "AAooBoooooBoooooBooCoDDDoCooEEoCoooo", "size": 6, "moves": 5, "solution": ["A>2", "C^3", "D<2", "Cv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAooBoooooBoooooBooCoDDDoCooEEoCoooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,C^3,D<2,Cv1,A>2\n"]}} {"board": "ooBBBoooCCCDAAoooDEoFooDEoFoooEoFGGG", "size": 6, "moves": 5, "solution": ["A>3", "F^1", "G<1", "Dv2", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBoooCCCDAAoooDEoFooDEoFoooEoFGGG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>3,F^1,G<1,Dv2,A>1\n"]}} {"board": "AAoooBCCDEEBFGDHHHFGDIIIJooKKKJLLLoo", "size": 6, "moves": 5, "solution": ["L>2", "Dv2", "G<1", "Bv1", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: AAoooBCCDEEBFGDHHHFGDIIIJooKKKJLLLoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nL>2,Dv2,G<1,Bv1,A>4\n"]}} {"board": "BoCCCoBoAADoBoEEDooFGHIIoFGHooJJJHoo", "size": 6, "moves": 12, "solution": ["Bv1", "B<2", "A<1", "E<1", "H^3", "J>3", "Gv1", "Gv1", "G<3", "Cv2", "Dv1", "A>3"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoCCCoBoAADoBoEEDooFGHIIoFGHooJJJHoo\nOptimal length (moves): 12\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,B<2,A<1,E<1,H^3,J>3,Gv1,Gv1,G<3,Cv2,Dv1,A>3\n"]}}