{"board": "ooooAAooBCCoBDDD", "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: ooooAAooBCCoBDDD\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "oAAooooBCCoBoDDB", "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: oAAooooBCCoBoDDB\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "oAAoBCCoBDEEoDoo", "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: oAAoBCCoBDEEoDoo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "ooBoAABoCDoECDoE", "size": 4, "moves": 2, "solution": ["Bv2", "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: ooBoAABoCDoECDoE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>2\n"]}} {"board": "ooooAAooooooBBoo", "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: ooooAAooooooBBoo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "BCCCBoooDAAoDEEo", "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: BCCCBoooDAAoDEEo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "oooooBCDoBCDAAoo", "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: oooooBCDoBCDAAoo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "BAAoBoCoBoCDEEoD", "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: BAAoBoCoBoCDEEoD\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "BoooBAAooCCCDDDo", "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: BoooBAAooCCCDDDo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "BoCDBoCDEFFFEAAo", "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: BoCDBoCDEFFFEAAo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "BBBoCAAoCooDCEED", "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: BBBoCAAoCooDCEED\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "AABooCBoDCooDEEE", "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: AABooCBoDCooDEEE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "AAoooBCooBCoDDDo", "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: AAoooBCooBCoDDDo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "BAAoBooooCCoDDDo", "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: BAAoBooooCCoDDDo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "AABCDDBCooBoEEoo", "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: AABCDDBCooBoEEoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>2\n"]}} {"board": "BBBoAAoCDDDCoEEE", "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: BBBoAAoCDDDCoEEE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Cv1,A>2\n"]}} {"board": "AABoCCBoDDBEoFFE", "size": 4, "moves": 3, "solution": ["F<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: AABoCCBoDDBEoFFE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Bv1,A>2\n"]}} {"board": "BoooBAACDooCDoEE", "size": 4, "moves": 3, "solution": ["E<1", "Cv1", "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: BoooBAACDooCDoEE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Cv1,A>1\n"]}} {"board": "oBBBoCCCDooEDAAE", "size": 4, "moves": 3, "solution": ["C<1", "E^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: oBBBoCCCDooEDAAE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,E^1,A>1\n"]}} {"board": "oBBBCDEFCDEFCAAF", "size": 4, "moves": 3, "solution": ["B<1", "F^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: oBBBCDEFCDEFCAAF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,F^1,A>1\n"]}} {"board": "AAoBCCoBooDDoEEE", "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: AAoBCCoBooDDoEEE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv1,A>2\n"]}} {"board": "AABCooBCooBooooo", "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: AABCooBCooBooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>2\n"]}} {"board": "AAoBoCCBooDDEEEo", "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: AAoBoCCBooDDEEEo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv1,A>2\n"]}} {"board": "oBBBoAACoooCoDDD", "size": 4, "moves": 3, "solution": ["D<1", "Cv1", "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: oBBBoAACoooCoDDD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Cv1,A>1\n"]}} {"board": "BAACBoDCEEDCoFFF", "size": 4, "moves": 3, "solution": ["F<1", "Cv1", "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: BAACBoDCEEDCoFFF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Cv1,A>1\n"]}} {"board": "AAoBoooBooCCDDEE", "size": 4, "moves": 3, "solution": ["C<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: AAoBoooBooCCDDEE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,Bv1,A>2\n"]}} {"board": "oAABCDDBCooBCEEE", "size": 4, "moves": 4, "solution": ["C^1", "E<1", "Cv1", "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: oAABCDDBCooBCEEE\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,E<1,Cv1,A>1\n"]}} {"board": "oooBAACBooCoDDoo", "size": 4, "moves": 3, "solution": ["Bv2", "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: oooBAACBooCoDDoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,Bv1,A>2\n"]}} {"board": "oBBBCDDDCooEAAoE", "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: oBBBCDDDCooEAAoE\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": "BBBCAAoCDoEEDFFF", "size": 4, "moves": 6, "solution": ["A>1", "D^1", "E<1", "F<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: BBBCAAoCDoEEDFFF\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,D^1,E<1,F<1,Cv2,A>1\n"]}} {"board": "BoooBCCCAAoDoooD", "size": 4, "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 (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: BoooBCCCAAoDoooD\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": "BBBoCDDDCAAEFFoE", "size": 4, "moves": 5, "solution": ["F>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: BBBoCDDDCAAEFFoE\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nF>1,Cv1,C<1,E^2,A>1\n"]}} {"board": "BCCCBooDAAoDoooo", "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: BCCCBooDAAoDoooo\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": "AAoBCCoBDEEEDFFo", "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: AAoBCCoBDEEEDFFo\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": "oBBBAAoCDEECDFFF", "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: oBBBAAoCDEECDFFF\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": "oooBAAoBCDDDCoEE", "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: oooBAAoBCDDDCoEE\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": "AABCooBCoDBCoDEE", "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: AABCooBCoDBCoDEE\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E<2,Bv1,Bv1,A>2\n"]}} {"board": "BoooBCCCoooDAAoD", "size": 4, "moves": 5, "solution": ["A>1", "Bv2", "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: BoooBCCCoooDAAoD\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,Bv2,B<1,D^1,A>1\n"]}} {"board": "AAoBoCCBDEEEDFFF", "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: AAoBoCCBDEEEDFFF\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": "AABCooBCoDBooDEE", "size": 4, "moves": 5, "solution": ["Cv1", "D^1", "E<2", "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: AABCooBCoDBooDEE\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,D^1,E<2,Bv1,A>2\n"]}} {"board": "AABCDDBCoEECooFF", "size": 4, "moves": 5, "solution": ["E<1", "Bv1", "F<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: AABCDDBCoEECooFF\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv1,F<1,Bv1,A>2\n"]}} {"board": "oooBCAABCDDDoEEE", "size": 4, "moves": 5, "solution": ["C^1", "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: oooBCAABCDDDoEEE\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D<1,E<1,Cv2,A>1\n"]}} {"board": "oBAACDBooCDEoooDEFFFoGGGo", "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: oBAACDBooCDEoooDEFFFoGGGo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>1\n"]}} {"board": "AAoooBoCCCBDDEFoGGEFoHHHo", "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: AAoooBoCCCBDDEFoGGEFoHHHo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>3\n"]}} {"board": "ooAAoBBBoCDEEECDooooFFGGo", "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: ooAAoBBBoCDEEECDooooFFGGo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "BoAACBooDCEEFDoGHFDIGHJJI", "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: BoAACBooDCEEFDoGHFDIGHJJI\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>1\n"]}} {"board": "BCCCoBoAADEoFFDEoGHoooGHo", "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: BCCCoBoAADEoFFDEoGHoooGHo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,A>1\n"]}} {"board": "oBAAooBCCoDBEEoDFGooDFGoo", "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: oBAAooBCCoDBEEoDFGooDFGoo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "AAooBCCDDBoooEBoFFEooGGoo", "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: AAooBCCDDBoooEBoFFEooGGoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "BBBooAAoooCoDDDCooEEFFooo", "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: BBBooAAoooCoDDDCooEEFFooo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>3\n"]}} {"board": "oBCoooBCoDAAooDoooEFGGoEF", "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: oBCoooBCoDAAooDoooEFGGoEF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>3\n"]}} {"board": "BooooBCDoEBCDFEoCoFoAAooo", "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: BooooBCDoEBCDFEoCoFoAAooo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>3\n"]}} {"board": "ooAAoBBoCDoooCDoooooEEooo", "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: ooAAoBBoCDoooCDoooooEEooo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "BCAADBCoEDFooEoFooGHIIoGH", "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: BCAADBCoEDFooEoFooGHIIoGH\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,A>1\n"]}} {"board": "AAooooBoCCoBDooEEDFFoGGGo", "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: AAooooBoCCoBDooEEDFFoGGGo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>3\n"]}} {"board": "BCDDDBCAAEoFoGEoFoGoHHIIo", "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: BCDDDBCAAEoFoGEoFoGoHHIIo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,A>1\n"]}} {"board": "AAoooooBCCDEBooDEBooDEFFF", "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: AAoooooBCCDEBooDEBooDEFFF\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>3\n"]}} {"board": "BoAAoBCooooCDoEFFDoEooDGG", "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: BoAAoBCooooCDoEFFDoEooDGG\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "AABooooBCoDDBCEFFooEGGHHH", "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: AABooooBCoDDBCEFFooEGGHHH\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "BCAADBCooDBCEEooooFGoooFG", "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: BCAADBCooDBCEEooooFGoooFG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,A>1\n"]}} {"board": "oBAAooBCCCDBEEoDFFooooGGG", "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: oBAAooBCCCDBEEoDFFooooGGG\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "oAAooBoCooBoCoDEEFoDGGFoo", "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: oAAooBoCooBoCoDEEFoDGGFoo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "oBCCCoBDEoFBDEGFoooGFoAAo", "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: oBCCCoBDEoFBDEGFoooGFoAAo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "BCAAoBCDooEEDooFGGooFHHII", "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: BCAAoBCDooEEDooFGGooFHHII\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "AAoooBBCCCDEFFoDEGHooEGHo", "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: AAoooBBCCCDEFFoDEGHooEGHo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>3\n"]}} {"board": "BoCCCBoAAoooDDEFFoGEoHHGo", "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: BoCCCBoAAoooDDEFFoGEoHHGo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "AAoBooooBoCDEoFCDEoFCoGGo", "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: AAoBooooBoCDEoFCDEoFCoGGo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "ooAAoBBoCCDDEEooooFFoGGHH", "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: ooAAoBBoCCDDEEooooFFoGGHH\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "AAooBCCoDBEFFDBEGGDoHHHoo", "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: AAooBCCoDBEFFDBEGGDoHHHoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "BCAAoBCDDDEFFGHEIoGHEIooo", "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: BCAAoBCDDDEFFGHEIoGHEIooo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "BAAooBCoDDECFFGEHHHGIIIJJ", "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: BAAooBCoDDECFFGEHHHGIIIJJ\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "AAoooBoCDDBoCoEoFooEoFooE", "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: AAoooBoCDDBoCoEoFooEoFooE\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>3\n"]}} {"board": "AAoooBBoCCDDDoEooooEoFFGG", "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: AAoooBBoCCDDDoEooooEoFFGG\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>3\n"]}} {"board": "ooAAoBBCCoDEEooDFoGHDFoGH", "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: ooAAoBBCCoDEEooDFoGHDFoGH\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "ooAAoBCDEoBCDEoooFFooGGGo", "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: ooAAoBCDEoBCDEoooFFooGGGo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "BoAAoBCCooDEoFFDEGooDoGHH", "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: BoAAoBCCooDEoFFDEGooDoGHH\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "BoCCCBoAAoBDDDEFFooEGGooo", "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: BoCCCBoAAoBDDDEFFooEGGooo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "BAAooBCCCooDooooDoooEEEFF", "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: BAAooBCCCooDooooDoooEEEFF\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "BoCDEBFCDEoFGGGooooooAAoo", "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: BoCDEBFCDEoFGGGooooooAAoo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "BBBoooAAoooCDEEFCDoGFoHHG", "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: BBBoooAAoooCDEEFCDoGFoHHG\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "BCAADBCEoDBFEooGFHHoGFIII", "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: BCAADBCEoDBFEooGFHHoGFIII\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,A>1\n"]}} {"board": "AAoooBBBooCoDDDCoEEoCFFGG", "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: AAoooBBBooCoDDDCoEEoCFFGG\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>3\n"]}} {"board": "BCoooBCDoEBCDFEAAoFoooGGG", "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: BCoooBCDoEBCDFEAAoFoooGGG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,A>3\n"]}} {"board": "BCDooBCDooBEoFooEoFGoEAAG", "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: BCDooBCDooBEoFooEoFGoEAAG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nG^1,A>1\n"]}} {"board": "AAoooBBoCCDoEFoDGEFooGEoo", "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: AAoooBBoCCDoEFoDGEFooGEoo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>3\n"]}} {"board": "oBooCoBooCDoAAoDooooDoEEo", "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: oBooCoBooCDoAAoDooooDoEEo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "BCDoEBCDFEBooFoGGGoooAAoo", "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: BCDoEBCDFEBooFoGGGoooAAoo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "BooCoBooCoBooCooAAoDEEEoD", "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: BooCoBooCoBooCooAAoDEEEoD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,A>2\n"]}} {"board": "BCAADBCoEDFFoEooGHHHoGIIo", "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: BCAADBCoEDFFoEooGHHHoGIIo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,A>1\n"]}} {"board": "oBAAoCBDDoCEEFooooFoGGHHo", "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: oBAAoCBDDoCEEFooooFoGGHHo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "BCCCoBDAAooDoooEFoGGEFooo", "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: BCCCoBDAAooDoooEFoGGEFooo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "BCDEoBCDEoFooEGFoooGFoAAG", "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: BCDEoBCDEoFooEGFoooGFoAAG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nG^1,A>1\n"]}} {"board": "AAooBooooBCDDDoCooooCEEEo", "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: AAooBooooBCDDDoCooooCEEEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "oAAooBooCoBoDCEBoDCEFFoGG", "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: oAAooBooCoBoDCEBoDCEFFoGG\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "BAAoCBDEECBDFFoGDoHoGIIHo", "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: BAAoCBDEECBDFFoGDoHoGIIHo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>2\n"]}} {"board": "oAAoBCDDEBCoFEBCoFEoooooo", "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: oAAoBCDDEBCoFEBCoFEoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "AAoBoCCoBoDEEooDFGooDFGHH", "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: AAoBoCCoBoDEEooDFGooDFGHH\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "BBBCDEooCDEoAAFGGHoFIIHoo", "size": 5, "moves": 2, "solution": ["Fv1", "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: BBBCDEooCDEoAAFGGHoFIIHoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nFv1,A>1\n"]}} {"board": "oBCoooBCooDAAooDEEoFooGGF", "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: oBCoooBCooDAAooDEEoFooGGF\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "BoAAoBooooooCCCoooDDEEFFo", "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: BoAAoBooooooCCCoooDDEEFFo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "oAAoooBBoCDDooCEFGGoEFoHH", "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: oAAoooBBoCDDooCEFGGoEFoHH\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "oAAooBCDEEBCDFFGGHHoooIIo", "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: oAAooBCDEEBCDFFGGHHoooIIo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "BBBooCoDoECoDFEooDFEoAAoo", "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: BBBooCoDoECoDFEooDFEoAAoo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "BoAAoBCCoooDDDooEoFFoEGGG", "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: BoAAoBCCoooDDDooEoFFoEGGG\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "BCCCoBoDDDBEFooGEFooGEAAo", "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: BCCCoBoDDDBEFooGEFooGEAAo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "BBBoCDDDoCoAAooEEEFFoGGGo", "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: BBBoCDDDoCoAAooEEEFFoGGGo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "BAAooBCooDBCooDooooDoEEoo", "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: BAAooBCooDBCooDooooDoEEoo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "oBooooBAAoCoooDCEooDCEoFF", "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: oBooooBAAoCoooDCEooDCEoFF\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "ooBBBooCCCooAAoooDDooEEoo", "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: ooBBBooCCCooAAoooDDooEEoo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "BoAAoBooCCooDDEoFFGEoHHGE", "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: BoAAoBooCCooDDEoFFGEoHHGE\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "oBCDEFBCDEFooooGoAAoGoHHH", "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: oBCDEFBCDEFooooGoAAoGoHHH\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "BCooDBCAADECoFoEGGFoEHHII", "size": 5, "moves": 2, "solution": ["Dv2", "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: BCooDBCAADECoFoEGGFoEHHII\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv2,A>1\n"]}} {"board": "AAooooBoooCBDoECoDoEoFFoo", "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: AAooooBoooCBDoECoDoEoFFoo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>3\n"]}} {"board": "BoAAoBCCDooooDEoFooEoFGGE", "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: BoAAoBCCDooooDEoFooEoFGGE\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "ooAAooBooooBCCDEoooDEFFoo", "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: ooAAooBooooBCCDEoooDEFFoo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "oBoooCBAADCBEEDoFGGooFooo", "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: oBoooCBAADCBEEDoFGGooFooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,A>1\n"]}} {"board": "oAAooBoCCCBoDDEBFFoEoGGHH", "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: oAAooBoCCCBoDDEBFFoEoGGHH\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "AABoooCBDoECoDoEoFFFGGooo", "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: AABoooCBDoECoDoEoFFFGGooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "AAoBooooBoCCCBooooooooooo", "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: AAoBooooBoCCCBooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "BAACoBDDCEFGHoEFGHIJoGoIJ", "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: BAACoBDDCEFGHoEFGHIJoGoIJ\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>2\n"]}} {"board": "oBAACoBoDCEFFDoEooDooooGG", "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: oBAACoBoDCEFFDoEooDooooGG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>1\n"]}} {"board": "BCAAoBCoDDECFooEoFGGEHHHo", "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: BCAAoBCoDDECFooEoFGGEHHHo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "BAAooBCCDEFooDEFoGGoFoHHH", "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: BAAooBCCDEFooDEFoGGoFoHHH\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "oBooCDBAACDEFFCoEGGooHHoo", "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: oBooCDBAACDEFFCoEGGooHHoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,A>1\n"]}} {"board": "oAAooooooooooBBoCCCDEEFFD", "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: oAAooooooooooBBoCCCDEEFFD\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "BBBoooCooDECAADEFFooEGGoo", "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: BBBoooCooDECAADEFFooEGGoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>1\n"]}} {"board": "ooAAoBoCCDBoooDBooEFoooEF", "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: ooAAoBoCCDBoooDBooEFoooEF\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "BoAACBDooCoDooooEEEFooooF", "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: BoAACBDooCoDooooEEEFooooF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>1\n"]}} {"board": "ooAABCoDDBCEoooFEGGoFEooo", "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: ooAABCoDDBCEoooFEGGoFEooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>1\n"]}} {"board": "AAooooooBCDDDBCEFFFoEoGGo", "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: AAooooooBCDDDBCEFFFoEoGGo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>3\n"]}} {"board": "ooAABCCDDBooEFoooEFGoooFG", "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: ooAABCCDDBooEFoooEFGoooFG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>1\n"]}} {"board": "BCoooBCoDoBCoDoEFGGGEFAAo", "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: BCoooBCoDoBCoDoEFGGGEFAAo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "oAAooBBBCCooooooDDEoFFFEo", "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: oAAooBBBCCooooooDDEoFFFEo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "ooAAooBooCoBooCoBooCoooDD", "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: ooAAooBooCoBooCoBooCoooDD\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "oBAAoCBooDCBooDEFGHoEFGHo", "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: oBAAoCBooDCBooDEFGHoEFGHo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "BAAooBoCoDEECoDFFGGDoHHHo", "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: BAAooBoCoDEECoDFFGGDoHHHo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "BAAooBoooCDEFoCDEFGGoEHHo", "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: BAAooBoooCDEFoCDEFGGoEHHo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "BCoooBCoooBCooDooooDooAAD", "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: BCoooBCoooBCooDooooDooAAD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>1\n"]}} {"board": "BAAooBCoooDCEEEDFGGHoFooH", "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: BAAooBCoooDCEEEDFGGHoFooH\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "ooAAoBBCCCDDEFGHoEFGHoooo", "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: ooAAoBBCCCDDEFGHoEFGHoooo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "oAAoooBBBCDDEFCGGEFoHHIIo", "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: oAAoooBBBCDDEFCGGEFoHHIIo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "BCAAoBCoooDoooEDoFoEGGFoo", "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: BCAAoBCoooDoooEDoFoEGGFoo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "AAooooBCCooBoDDEFGGoEFooo", "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: AAooooBCCooBoDDEFGGoEFooo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>3\n"]}} {"board": "ooBBBoCAAoDCEEoDooooDFFFo", "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: ooBBBoCAAoDCEEoDooooDFFFo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "BoAAoBCDDEBCFGEooFGoHHooo", "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: BoAAoBCDDEBCFGEooFGoHHooo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "oBooooBAACDooECDFoEooFoGG", "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: oBooooBAACDooECDFoEooFoGG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>1\n"]}} {"board": "BCoooBCAAoBoDooEEDoFooDoF", "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: BCoooBCAAoBoDooEEDoFooDoF\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "BCCCDBoAADoEEEoooooooooFF", "size": 5, "moves": 2, "solution": ["Dv2", "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: BCCCDBoAADoEEEoooooooooFF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv2,A>1\n"]}} {"board": "oBoCooBDCoooDEoooDEFoAAoF", "size": 5, "moves": 2, "solution": ["F^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: oBoCooBDCoooDEoooDEFoAAoF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,A>2\n"]}} {"board": "AAoBooooBoCDoooCDoooEEFFo", "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: AAoBooooBoCDoooCDoooEEFFo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "BCCCoBoAAoBDDooooEooooEoo", "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: BCCCoBoAAoBDDooooEooooEoo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "BAAooBCCCoBooDoEEEDooFFGG", "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: BAAooBCCCoBooDoEEEDooFFGG\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "BooCoBDECoBDEooFDAAoFoGGG", "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: BooCoBDECoBDEooFDAAoFoGGG\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "BCoooBCDDDEFAAoEFGGHooIIH", "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: BCoooBCDDDEFAAoEFGGHooIIH\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "BoAAoBCCoDEooFDEooFoGGooo", "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: BoAAoBCCoDEooFDEooFoGGooo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "oBCooDBCooDoCooooooooAAoo", "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: oBCooDBCooDoCooooooooAAoo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "BBBooAAoCooDDCoooECoooEoo", "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: BBBooAAoCooDDCoooECoooEoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>3\n"]}} {"board": "ooAAoBoCDDBoCEoFGGEoFHHII", "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: ooAAoBoCDDBoCEoFGGEoFHHII\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "ooAAooBBoooooooCoDEECoDFF", "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: ooAAooBBoooooooCoDEECoDFF\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "BoCCCBDoEooDoEooFFFGoAAoG", "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: BoCCCBDoEooDoEooFFFGoAAoG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nG^1,A>2\n"]}} {"board": "oBoooCBAAoCBDDECoooEFFGGE", "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: oBoooCBAAoCBDDECoooEFFGGE\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "oooBCoDEBCFDEBCFDAAoGGoHH", "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: oooBCoDEBCFDEBCFDAAoGGoHH\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "oAAooBBoooCDDEoCooEoFFFEo", "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: oAAooBBoooCDDEoCooEoFFFEo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "BoAAoBCDEEBCDoooCDFFoGGGo", "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: BoAAoBCDEEBCDoooCDFFoGGGo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "oBBBoAAooooooooCooDDCoooo", "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: oBBBoAAooooooooCooDDCoooo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>3\n"]}} {"board": "oAAooBBCooooCooDEFGGDEFHH", "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: oAAooBBCooooCooDEFGGDEFHH\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "AAoooBBoooooCCDEFFFDEoooo", "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: AAoooBBoooooCCDEFFFDEoooo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>3\n"]}} {"board": "BCDDDBCAAoECooFEooGFoooGo", "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: BCDDDBCAAoECooFEooGFoooGo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "BAAooBCCDDEoFFFEGGooHHooo", "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: BAAooBCCDDEoFFFEGGooHHooo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "oooooAAoBoCDDBECoooEooooE", "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: oooooAAoBoCDDBECoooEooooE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "ooBCDEoBCDEoooDoAAooooFFF", "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: ooBCDEoBCDEoooDoAAooooFFF\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "AAoBoCDDBoCEoBoFEGooFEGHH", "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: AAoBoCDDBoCEoBoFEGooFEGHH\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "BAAooBoooCBDEECoDooCoDFFo", "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: BAAooBoooCBDEECoDooCoDFFo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "ooBBBoAAoooCoDooCoDoEEFFo", "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: ooBBBoAAoooCoDooCoDoEEFFo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "BAAoCBDDoCEFFFoEGGooooHHo", "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: BAAoCBDDoCEFFFoEGGooooHHo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>2\n"]}} {"board": "BoAAoBCCCDooooDEFFGoEooGo", "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: BoAAoBCCCDooooDEFFGoEooGo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "ooAAoBCCCoBDDoEooFFEGGGHH", "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: ooAAoBCCCoBDDoEooFFEGGGHH\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "BCDEoBCDEFAAooFoooooGGoHH", "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: BCDEoBCDEFAAooFoooooGGoHH\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,A>3\n"]}} {"board": "AAooooBBCCDooEoDFFEoDGGGo", "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: AAooooBBCCDooEoDFFEoDGGGo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>3\n"]}} {"board": "BoCooBoCoooAAoDEFGGDEFHHH", "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: BoCooBoCoooAAoDEFGGDEFHHH\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,A>2\n"]}} {"board": "oBBBCoDDDCEAAooEFoGGEFHHH", "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: oBBBCoDDDCEAAooEFoGGEFHHH\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "oAAoBCoDDBCooooCEEEFGGooF", "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: oAAoBCoDDBCooooCEEEFGGooF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "oBAAooBCCCoDDDoEEFFooGGHH", "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: oBAAooBCCCoDDDoEEFFooGGHH\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "ooooBCooDBCooDoEAADoEFFFo", "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: ooooBCooDBCooDoEAADoEFFFo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>2\n"]}} {"board": "BoAAoBCDDDBCEFFooEGooooGo", "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: BoAAoBCDDDBCEFFooEGooooGo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "oooBCDDDBCoAAoEoooFEGGGFo", "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: oooBCDDDBCoAAoEoooFEGGGFo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,A>2\n"]}} {"board": "BAAooBCCCoDEFooDEFGGDoHHo", "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: BAAooBCCCoDEFooDEFGGDoHHo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "oAABooCDBEoCDBEoFDoEoFGGG", "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: oAABooCDBEoCDBEoFDoEoFGGG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "BoAACBoDDCooooooooooooEEE", "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: BoAACBoDDCooooooooooooEEE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>1\n"]}} {"board": "oBAAooBooooooCCDoooEDoFFE", "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: oBAAooBooooooCCDoooEDoFFE\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "AAoooooBooCCBoDooooDoEEoo", "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: AAoooooBooCCBoDooooDoEEoo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>3\n"]}} {"board": "oBAAoCBDooCoDEEoFFFoooooo", "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: oBAAoCBDooCoDEEoFFFoooooo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "AAooBCDEEBCDFFoGDHHIGoooI", "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: AAooBCDEEBCDFFoGDHHIGoooI\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "oBCCCoBoooDBEFGDoEFGDAAFo", "size": 5, "moves": 2, "solution": ["F^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: oBCCCoBoooDBEFGDoEFGDAAFo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,A>2\n"]}} {"board": "ooAAooBCooDBCEEDBoooDFFGG", "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: ooAAooBCooDBCEEDBoooDFFGG\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "BoCooBDCEFGDoEFGoHHHAAooo", "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: BoCooBDCEFGDoEFGoHHHAAooo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>3\n"]}} {"board": "oAAoBoCCDBEEEDoFFGHoooGHo", "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: oAAoBoCCDBEEEDoFFGHoooGHo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "BBBooCooooCAAooooooDooooD", "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: BBBooCooooCAAooooooDooooD\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "BAAooBCDDoBCEoooCEFoGGoFo", "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: BAAooBCDDoBCEoooCEFoGGoFo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "BCoooBCAAoBoDDDoEFFGoEooG", "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: BCoooBCAAoBoDDDoEFFGoEooG\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "ooAAooooBoCCCBDEEFGDHHFGo", "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: ooAAooooBoCCCBDEEFGDHHFGo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "BoAAoBoCCCoooDDEEFFFGGGoo", "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: BoAAoBoCCCoooDDEEFFFGGGoo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "AAoooBBCCCooooDooooDoEEED", "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: AAoooBBCCCooooDooooDoEEED\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>3\n"]}} {"board": "oBooooBAACoDDDCoooECFFFEo", "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: oBooooBAACoDDDCoooECFFFEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>1\n"]}} {"board": "BoAAoBoCCCDDDooEEFooooFGG", "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: BoAAoBoCCCDDDooEEFooooFGG\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "ooooBCAAoBCoooBDDDooEEEoo", "size": 5, "moves": 2, "solution": ["Bv2", "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: ooooBCAAoBCoooBDDDooEEEoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>2\n"]}} {"board": "oooooooAABCDooBCDEEoFFGGG", "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: oooooooAABCDooBCDEEoFFGGG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>1\n"]}} {"board": "oAAoooooBBoCDooECDooEFFGG", "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: oAAoooooBBoCDooECDooEFFGG\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "BAAooBoCCCoDooEoDoFEoooFE", "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: BAAooBoCCCoDooEoDoFEoooFE\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "oAAooBBCCCDEooFDEooFDGGoF", "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: oAAooBBCCCDEooFDEooFDGGoF\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "AAoooBooooBoCCoooDooEEDoo", "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: AAoooBooooBoCCoooDooEEDoo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>3\n"]}} {"board": "oAAooBCoDEBCFDEoCFGHIIFGH", "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: oAAooBCoDEBCFDEoCFGHIIFGH\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "ooooooAABoCCoBDEEFoDooFoD", "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: ooooooAABoCCoBDEEFoDooFoD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "oBooCoBDoCoBDoooEAAooEooo", "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: oBooCoBDoCoBDoooEAAooEooo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "oAAooBBCDEooCDEooFFoooGGo", "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: oAAooBBCDEooCDEooFFoooGGo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "AAoooBCCCoBooDoEEEDoFFooo", "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: AAoooBCCCoBooDoEEEDoFFooo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>3\n"]}} {"board": "BBBoooAAoooCDoooCDooEEEoo", "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: BBBoooAAoooCDoooCDooEEEoo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "oooBoCCCBooDoBoEDoooEoAAo", "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: oooBoCCCBooDoBoEDoooEoAAo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "oBAAooBCDEooCDEooFFoooooo", "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: oBAAooBCDEooCDEooFFoooooo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "BAAoCBDDoCBooEooooEooFFFo", "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: BAAoCBDDoCBooEooooEooFFFo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>2\n"]}} {"board": "oBBBooCooooCoDooooDoAAoDo", "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: oBBBooCooooCoDooooDoAAoDo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>3\n"]}} {"board": "oooBCDEoBCDEFooAAFooGGGoo", "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: oooBCDEoBCDEFooAAFooGGGoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,A>3\n"]}} {"board": "BAAooBCCDDooEEEFFGGGooHHH", "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: BAAooBCCDDooEEEFFGGGooHHH\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "ooooooBBBCoDDDCoAAoCEEFFF", "size": 5, "moves": 2, "solution": ["C^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: ooooooBBBCoDDDCoAAoCEEFFF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>2\n"]}} {"board": "BooooBCAAoBCoooooDEoFFDEo", "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: BooooBCAAoBCoooooDEoFFDEo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "BAAooBCDEEoCDFooCoFGoHHoG", "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: BAAooBCDEEoCDFooCoFGoHHoG\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "ooAAoooBBBCDEFGCDEFGCDooo", "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: ooAAoooBBBCDEFGCDEFGCDooo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "oBoCDEBoCDEAAooEFFGooooGo", "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: oBoCDEBoCDEAAooEFFGooooGo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "AAooooBCCDoBEoDoBEooooEoo", "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: AAooooBCCDoBEoDoBEooooEoo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>3\n"]}} {"board": "AAoooBBooCDDooCooooCoEEoo", "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: AAoooBBooCDDooCooooCoEEoo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>3\n"]}} {"board": "oAAooBCCCoBoDDDEFFFoEooGG", "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: oAAooBCCCoBoDDDEFFFoEooGG\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "oooooBoAACBDEECBDFFCoDGGo", "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: oooooBoAACBDEECBDFFCoDGGo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>1\n"]}} {"board": "BCDDDBCAAEoFGHEoFGHEooGHo", "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: BCDDDBCAAEoFGHEoFGHEooGHo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,A>1\n"]}} {"board": "BoCCCBDAAooDooEoDooEoFFGG", "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: BoCCCBDAAooDooEoDooEoFFGG\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "ooAAoBBCCCoooDEooFDEooFDo", "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: ooAAoBBCCCoooDEooFDEooFDo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "oBooooBooooBooCDEEECDAAoo", "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: oBooooBooooBooCDEEECDAAoo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "ooAABCDDDBCEFFoGEHHoGoIIo", "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: ooAABCDDDBCEFFoGEHHoGoIIo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>1\n"]}} {"board": "BBBooCAAooCDDEEoFFGoHHHGo", "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: BBBooCAAooCDDEEoFFGoHHHGo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "ooAAoooBBBoCooooCDEoFFDEo", "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: ooAAoooBBBoCooooCDEoFFDEo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "ooBBBoCDoooCDooAAoEoFFoEo", "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: ooBBBoCDoooCDooAAoEoFFoEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^2,A>3\n"]}} {"board": "ooAAoooBBCDEEoCDoFoCGGFoo", "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: ooAAoooBBCDEEoCDoFoCGGFoo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "ooooBCCCDBoEoDooEFFFoEAAo", "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: ooooBCCCDBoEoDooEFFFoEAAo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "BBBooCooooCoAAoDoEEoDFFoo", "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: BBBooCooooCoAAoDoEEoDFFoo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "AAoooBCCCDBoEEDoFFoooGGHH", "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: AAoooBCCCDBoEEDoFFoooGGHH\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>3\n"]}} {"board": "BoCDEBoCDEAAoFoGGGFoHHHoo", "size": 5, "moves": 2, "solution": ["Fv1", "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: BoCDEBoCDEAAoFoGGGFoHHHoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nFv1,A>3\n"]}} {"board": "oAAoBCCDDBoEEFooGGFoHHIII", "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: oAAoBCCDDBoEEFooGGFoHHIII\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "oBAAooBooooBoCoDEECoDFFoo", "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: oBAAooBooooBoCoDEECoDFFoo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "oAAoBCCDDBEEFoBooFoooGGHH", "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: oAAoBCCDDBEEFoBooFoooGGHH\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "oBAAoCBDDoCBoEECFFFGHHHoG", "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: oBAAoCBDDoCBoEECFFFGHHHoG\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "ooAAoBBBoooCCDEoooDEoFFDo", "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: ooAAoBBBoooCCDEoooDEoFFDo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "BCCCDBAAoDBoEEooooooooFFF", "size": 5, "moves": 2, "solution": ["Dv2", "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: BCCCDBAAoDBoEEooooooooFFF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv2,A>2\n"]}} {"board": "AAooBooCDBEoCDoEoCFFGGoHH", "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: AAooBooCDBEoCDoEoCFFGGoHH\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "AAoooBoCooBoCooooooDooooD", "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: AAoooBoCooBoCooooooDooooD\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>3\n"]}} {"board": "oBooooBAACoBoDCEEEDCoFFoo", "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: oBooooBAACoBoDCEEEDCoFFoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>1\n"]}} {"board": "BBBooCDEooCDEoFooAAFGGGoF", "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: BBBooCDEooCDEoFooAAFGGGoF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^2,A>1\n"]}} {"board": "oBCCCoBAADoBooDEEFFooooGG", "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: oBCCCoBAADoBooDEEFFooooGG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,A>1\n"]}} {"board": "BoAAoBCDEoFCDEGFooEGoHHHG", "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: BoAAoBCDEoFCDEGFooEGoHHHG\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "BCCCoBDAAoEDFGoEDFGoEoHHH", "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: BCCCoBDAAoEDFGoEDFGoEoHHH\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "oAAoBCooDBCEEDBoooDoooooo", "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: oAAoBCooDBCEEDBoooDoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "oAAoBCCDDBEFFGoEHoGIoHooI", "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: oAAoBCCDDBEFFGoEHoGIoHooI\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "oooooAABooCoBDECooDECFFoo", "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: oooooAABooCoBDECooDECFFoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "oBCCCoBooooooooDooEoDAAEo", "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: oBCCCoBooooooooDooEoDAAEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,A>2\n"]}} {"board": "BAAoCBoDDCoEEEooooFFGGoHH", "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: BAAoCBoDDCoEEEooooFFGGoHH\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>2\n"]}} {"board": "AABoooCBDDoCoEooFFEoGGoEo", "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: AABoooCBDDoCoEooFFEoGGoEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "oBBBoCDEEECDFFFoAAooooooo", "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: oBBBoCDEEECDFFFoAAooooooo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "ooAAoBoCooBDCooBDoEEoDFFo", "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: ooAAoBoCooBDCooBDoEEoDFFo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "BoAAoBCDooBCDooooEEFoGGGF", "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: BoAAoBCDooBCDooooEEFoGGGF\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "AAoooBoCDEBoCDEFooDoFoGGG", "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: AAoooBoCDEBoCDEFooDoFoGGG\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>3\n"]}} {"board": "BoAAoBoCCoDoEEEDoFFFGGooo", "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: BoAAoBoCCoDoEEEDoFFFGGooo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "BBBCDEEECDooFFFooGGGooAAo", "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: BBBCDEEECDooFFFooGGGooAAo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "BCAAoBCDDoBEoFFoEGGoHHHoo", "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: BCAAoBCDDoBEoFFoEGGoHHHoo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "oooooBCCCoBDDDoBEEEFooAAF", "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: oooooBCCCoBDDDoBEEEFooAAF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,A>1\n"]}} {"board": "ooAAooBBBooCoDDECFGoECFGo", "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: ooAAooBBBooCoDDECFGoECFGo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "oAAooooBBoCCDDDoooEEoFFFo", "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: oAAooooBBoCCDDDoooEEoFFFo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "oBooooBAAoCoDDDCEFGoCEFGo", "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: oBooooBAAoCoDDDCEFGoCEFGo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "oooBooCDBEoCDoEAADooFFoGG", "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: oooBooCDBEoCDoEAADooFFoGG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>3\n"]}} {"board": "ooAAoooBBooCCoDEFFFDEoGGo", "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: ooAAoooBBooCCoDEFFFDEoGGo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "AABooCCBDooooDEFGGGEFoHHH", "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: AABooCCBDooooDEFGGGEFoHHH\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "AAoooBCCooBDDDoBEEFFoGGHH", "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: AAoooBCCooBDDDoBEEFFoGGHH\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>3\n"]}} {"board": "oAAoooBBBoCoDoECoDFEooDFo", "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: oAAoooBBBoCoDoECoDFEooDFo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "AABooCoBooCooDECFFDEoooDE", "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: AABooCoBooCooDECFFDEoooDE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "BoCCCBooooAAoDoEEEDFGGooF", "size": 5, "moves": 2, "solution": ["Dv1", "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: BoCCCBooooAAoDoEEEDFGGooF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,A>3\n"]}} {"board": "ooAAoBBoCCDDEEoooFGGHHFII", "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: ooAAoBBoCCDDEEoooFGGHHFII\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "AAooBCCoDBoooDoEooFoEGGFo", "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: AAooBCCoDBoooDoEooFoEGGFo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "BBBooooAACDDDoCEFFGCEooGo", "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: BBBooooAACDDDoCEFFGCEooGo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>1\n"]}} {"board": "oooooooAAoBBBCDoooCDoEEEo", "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: oooooooAAoBBBCDoooCDoEEEo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "BoAACBoooCBoooooDEEFoDGGF", "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: BoAACBoooCBoooooDEEFoDGGF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>1\n"]}} {"board": "oBAAooBCCCoDDEEoFFFGoHHHG", "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: oBAAooBCCCoDDEEoFFFGoHHHG\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "oAAoooBooooBCCDEEooDooFFo", "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: oAAoooBooooBCCDEEooDooFFo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "BooCoBDECFoDECFoDAAooooGG", "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: BooCoBDECFoDECFoDAAooooGG\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "AAoooBBoCCooDDDEoFFoEGGHH", "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: AAoooBBoCCooDDDEoFFoEGGHH\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>3\n"]}} {"board": "oAAooBBBCCoDDEEooFooooFoo", "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: oAAooBBBCCoDDEEooFooooFoo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "ooAAoBBBoCoDDoCoEEFFGGooo", "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: ooAAoBBBoCoDDoCoEEFFGGooo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "BCAADBCooDBoEFDooEFoGGHHH", "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: BCAADBCooDBoEFDooEFoGGHHH\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,A>1\n"]}} {"board": "oAAooooBBBoCoDDoCEEoFFFoo", "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: oAAooooBBBoCoDDoCEEoFFFoo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "oooooAAooooBBBCooooCoooDD", "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: oooooAAooooBBBCooooCoooDD\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>3\n"]}} {"board": "oAAoBCCooBoDDDooEFGHoEFGH", "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: oAAoBCCooBoDDDooEFGHoEFGH\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "ooAAoBBCDDooCoEFFGGEooHHE", "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: ooAAoBBCDDooCoEFFGGEooHHE\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "BAAooBoCCCBDDoooooEooFFEo", "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: BAAooBoCCCBDDoooooEooFFEo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "BBBooAAooCDEEoCDFFoooGGHH", "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: BBBooAAooCDEEoCDFFoooGGHH\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>3\n"]}} {"board": "BCAADBCEoDBCEFoGoEFoGoooo", "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: BCAADBCEoDBCEFoGoEFoGoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,A>1\n"]}} {"board": "oooooBAAooBCCDEoooDEoFFFo", "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: oooooBAAooBCCDEoooDEoFFFo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "ooBBBoAAooooooCooDDCEEooo", "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: ooBBBoAAooooooCooDDCEEooo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "BCDDDBCAAoEEEoooooFFoGGHH", "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: BCDDDBCAAoEEEoooooFFoGGHH\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "AAoooBBBCDEFoCDEFGHIJJGHI", "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: AAoooBBBCDEFoCDEFGHIJJGHI\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>3\n"]}} {"board": "ooBooooBooooooooCooooCAAo", "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: ooBooooBooooooooCooooCAAo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "oooBooooBCDoAACDEEooFFFoo", "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: oooBooooBCDoAACDEEooFFFoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>1\n"]}} {"board": "oAAoooooBBCCCDoEEFDGooFoG", "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: oAAoooooBBCCCDoEEFDGooFoG\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "oAAooBBoCCDEFFoDEGGHoEooH", "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: oAAooBBoCCDEFFoDEGGHoEooH\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "BooooBAAoooCCooDooooDoooo", "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: BooooBAAoooCCooDooooDoooo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "BooooBAAooBCCoDooooDooEEo", "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: BooooBAAooBCCoDooooDooEEo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "BCoDEBCoDEoCFDEGHFooGHAAo", "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: BCoDEBCoDEoCFDEGHFooGHAAo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "ooAABoooCBoooCBoDDooEEFFF", "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: ooAABoooCBoooCBoDDooEEFFF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>1\n"]}} {"board": "AAoooBCCoDBEoFDoEGFoooGFo", "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: AAoooBCCoDBEoFDoEGFoooGFo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>3\n"]}} {"board": "oooooAAoooBCDooBCDoEFFDoE", "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: oooooAAoooBCDooBCDoEFFDoE\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>3\n"]}} {"board": "BBBooCAADoCEEDoCoFDGHHFoG", "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: BBBooCAADoCEEDoCoFDGHHFoG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,A>2\n"]}} {"board": "ooAAoBBCCCDDooEoFFoEooGGE", "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: ooAAoBBCCCDDooEoFFoEooGGE\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "AAoooooooooBoooCBDDECFFFE", "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: AAoooooooooBoooCBDDECFFFE\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>3\n"]}} {"board": "BCAADBCEoDBCEFooGGFooooHH", "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: BCAADBCEoDBCEFooGGFooooHH\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,A>1\n"]}} {"board": "ooAAoBBBCCooDooEEDoFoGGoF", "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: ooAAoBBBCCooDooEEDoFoGGoF\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "ooAABoCooBoCoooDCoooDEEoo", "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: ooAABoCooBoCoooDCoooDEEoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>1\n"]}} {"board": "oAAoooooBBCDEEFCDGGFCHHoo", "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: oAAoooooBBCDEEFCDGGFCHHoo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "BoAAoBCCCooDDDoEoFFFEoooo", "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: BoAAoBCCCooDDDoEoFFFEoooo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "oAABoCDEBFCDEoFoGooFoGoHH", "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: oAABoCDEBFCDEoFoGooFoGoHH\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "BooCoBooCDEFoGDEFoGDEoAAo", "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: BooCoBooCDEFoGDEFoGDEoAAo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "BoAAoBoCCoBooooDDooooEEoo", "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: BoAAoBoCCoBooooDDooooEEoo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "oBCDEoBCDEFFFooooAAoGGoHH", "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: oBCDEoBCDEFFFooooAAoGGoHH\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "oBAAoCBoDECFFDEGGooEoHHHo", "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: oBAAoCBoDECFFDEGGooEoHHHo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "AAooooBooooBCCCoDDoEooooE", "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: AAooooBooooBCCCoDDoEooooE\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>3\n"]}} {"board": "BCoooBCAADBEEEDooFGDooFGo", "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: BCoooBCAADBEEEDooFGDooFGo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,A>1\n"]}} {"board": "ooAAoBCDDEBCooEFCoGGFHHII", "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: ooAAoBCDDEBCooEFCoGGFHHII\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "oAAoooBBBoCDooECDFFEoGGoE", "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: oAAoooBBBoCDooECDFFEoGGoE\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "ooAABoooCBoDoCoEDFFFEooGG", "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: ooAABoooCBoDoCoEDFFFEooGG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>1\n"]}} {"board": "oAAoooBBBoCDDEECooooFFFGG", "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: oAAoooBBBoCDDEECooooFFFGG\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "ooAAoBCCooBooooDDEEEoooFF", "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: ooAAoBCCooBooooDDEEEoooFF\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "oooooooAABCCDDBEEFFooGGGo", "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: oooooooAABCCDDBEEFFooGGGo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>1\n"]}} {"board": "AAoooooBCoooBCooDDDEFFFoE", "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: AAoooooBCoooBCooDDDEFFFoE\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>3\n"]}} {"board": "AAoooBooooBCCDDBooEEoFFoo", "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: AAoooBooooBCCDDBooEEoFFoo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>3\n"]}} {"board": "oooooAAoBoooCBoooCBoDDCoo", "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: oooooAAoBoooCBoooCBoDDCoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "oAABoCDDBoCoEBFoGEoFoGHHo", "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: oAABoCDDBoCoEBFoGEoFoGHHo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "BBBCoooDCEooDCEFoAAoFGGGo", "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: BBBCoooDCEooDCEFoAAoFGGGo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "oBCCCDBooEDBooEFoAAoFooGG", "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: oBCCCDBooEDBooEFoAAoFooGG\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "AAooooBBCooDECooDEoFGGGoF", "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: AAooooBBCooDECooDEoFGGGoF\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>3\n"]}} {"board": "oAAoooBCoDEBCFDEBoFoGGGFo", "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: oAAoooBCoDEBCFDEBoFoGGGFo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "oAAooBBooCooDDCEEEoooooFF", "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: oAAooBBooCooDDCEEEoooooFF\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "BoAACBoooCoDoooEDFFoEDGGo", "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: BoAACBoooCoDoooEDFFoEDGGo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>1\n"]}} {"board": "BoCooBoCDEBooDEoAAoooFFoo", "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: BoCooBoCDEBooDEoAAoooFFoo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "ooAAoBBBCDoooCDoEECFooGGF", "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: ooAAoBBBCDoooCDoEECFooGGF\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "AAooooBBBooCDoEoCDoEFFooE", "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: AAooooBBBooCDoEoCDoEFFooE\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>3\n"]}} {"board": "BAAooBCoooDCEEoDFFFoGGHHo", "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: BAAooBCoooDCEEoDFFFoGGHHo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "oAAoBoCCCBDooooDEFooDEFGG", "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: oAAoBoCCCBDooooDEFooDEFGG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "BoCooBoCoDooCEDFAAEoFoGGG", "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: BoCooBoCoDooCEDFAAEoFoGGG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,A>2\n"]}} {"board": "BBBooooooCDDDoCEFAAoEFooo", "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: BBBooooooCDDDoCEFAAoEFooo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "oBBBCAAooCDDDoooEEEooFFGG", "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: oBBBCAAooCDDDoooEEEooFFGG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,A>3\n"]}} {"board": "oBAAooBCCoDDEFFooEGoooEGo", "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: oBAAooBCCoDDEFFooEGoooEGo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "AAoooooBBCDDDoCEoFFoEoGGo", "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: AAoooooBBCDDDoCEoFFoEoGGo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>3\n"]}} {"board": "oBooooBooooBAACDDEECFFGGG", "size": 5, "moves": 2, "solution": ["C^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: oBooooBooooBAACDDEECFFGGG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>1\n"]}} {"board": "ooAABCCooBoooooDDDoEFFGGE", "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: ooAABCCooBoooooDDDoEFFGGE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>1\n"]}} {"board": "AAooBCoooBCDDoooEEEFoGGoF", "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: AAooBCoooBCDDoooEEEFoGGoF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "oBAAooBoCCoDoEEoDoFFoDooo", "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: oBAAooBoCCoDoEEoDoFFoDooo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "AAooBCDoEBCDoEBooFooooFoo", "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: AAooBCDoEBCDoEBooFooooFoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "BBBooAAoooCCCoDEEEoDoFFFD", "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: BBBooAAoooCCCoDEEEoDoFFFD\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>3\n"]}} {"board": "BooooBoAAoCCoDDEEEFFGGGoo", "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: BooooBoAAoCCoDDEEEFFGGGoo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "oBAACDBooCDBEoCFGEooFGHHH", "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: oBAACDBooCDBEoCFGEooFGHHH\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>1\n"]}} {"board": "AAooBoCCCBDEFFoDEGGGooooo", "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: AAooBoCCCBDEFFoDEGGGooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "ooAAooBBCooooCDEEooDFFooD", "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: ooAAooBBCooooCDEEooDFFooD\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "oBCCCDBAAoDEoFFoEGHIJJGHI", "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: oBCCCDBAAoDEoFFoEGHIJJGHI\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "AAoooBBBCCDEEFFDooGGoooHH", "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: AAoooBBBCCDEEFFDooGGoooHH\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>3\n"]}} {"board": "BAAooBCoooBCoDooooDEoFFoE", "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: BAAooBCoooBCoDooooDEoFFoE\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "oBoCDoBoCDAAEooFFEGGooHHo", "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: oBoCDoBoCDAAEooFFEGGooHHo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^2,A>3\n"]}} {"board": "oBBBoAAoooCooDDCEoFFoEGGo", "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: oBBBoAAoooCooDDCEoFFoEGGo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>3\n"]}} {"board": "ooAAoBoCCDBoEEDFooooFooGG", "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: ooAAoBoCCDBoEEDFooooFooGG\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "BCAAoBCoooDDEFoGHEFIGHoFI", "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: BCAAoBCoooDDEFoGHEFIGHoFI\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "oAAoooBBCCDDEEoFooooFGGGo", "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: oAAoooBBCCDDEEoFooooFGGGo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "BCoDoBCoDEFCAAEFGGHHooIIo", "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: BCoDoBCoDEFCAAEFGGHHooIIo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,A>1\n"]}} {"board": "oooBCoDoBCoDEFoooEFooAAoo", "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: oooBCoDoBCoDEFoooEFooAAoo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "BBBooCCCoDAAooDEoFGoEoFGo", "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: BBBooCCCoDAAooDEoFGoEoFGo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>3\n"]}} {"board": "oAAooBBCoDooCEDooCEFoGGEF", "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: oAAooBBCoDooCEDooCEFoGGEF\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "oBCCCDBAAoDooooEoFGGEoFHH", "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: oBCCCDBAAoDooooEoFGGEoFHH\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "AAooBCDooBCDoooEoooFEoooF", "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: AAooBCDooBCDoooEoooFEoooF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "BCCCoBAAooooDDoEEFFooGGHH", "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: BCCCoBAAooooDDoEEFFooGGHH\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "BBBooooAACDDEoCoFEGCoFEGo", "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: BBBooooAACDDEoCoFEGCoFEGo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>1\n"]}} {"board": "oBBBooAAooCooDDCoEEoCoFFo", "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: oBBBooAAooCooDDCoEEoCoFFo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "BoCDEBoCDEBFCDEoFAAooFooo", "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: BoCDEBoCDEBFCDEoFAAooFooo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "BAAooBoCDEFFCDEoGGDoHHooo", "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: BAAooBoCDEFFCDEoGGDoHHooo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "oBAACoBDECFoDEoFoDEGHHooG", "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: oBAACoBDECFoDEoFoDEGHHooG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>1\n"]}} {"board": "BAAooBCCCoBooDEoooDEFFFDo", "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: BAAooBCCCoBooDEoooDEFFFDo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "BoCoDBECFDGEHFIGEHoIAAooo", "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: BoCoDBECFDGEHFIGEHoIAAooo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>3\n"]}} {"board": "oBAAooBCCCoBDooEEDooooDFF", "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: oBAAooBCCCoBDooEEDooooDFF\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "BooCDBEoCDoEAAoFFGGoooHHH", "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: BooCDBEoCDoEAAoFFGGoooHHH\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "oooooAAoBooCoBDoCooDEEFFD", "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: oooooAAoBooCoBDoCooDEEFFD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "ooAAoBBBoCoooDCEFoDoEFooo", "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: ooAAoBBBoCoooDCEFoDoEFooo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "oAAoBCDDDBCEEEBFGGooFoHHH", "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: oAAoBCDDDBCEEEBFGGooFoHHH\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "BAAoCBoDDCoEEoCFFoooGGGHH", "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: BAAoCBoDDCoEEoCFFoooGGGHH\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>2\n"]}} {"board": "AAooooBCDEoBCDEoBCooFFGGG", "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: AAooooBCDEoBCDEoBCooFFGGG\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>3\n"]}} {"board": "BooCoBDoCEoDooEFDoGoFAAGo", "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: BooCoBDoCEoDooEFDoGoFAAGo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nG^1,A>2\n"]}} {"board": "oAAooooBooCoBDDCoBooCoooo", "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: oAAooooBooCoBDDCoBooCoooo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "BCDooBCDooBoooEooAAEFFooo", "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: BCDooBCDooBoooEooAAEFFooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,A>1\n"]}} {"board": "AAooooBoCCoBDEFGGDEFooDEo", "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: AAooooBoCCoBDEFGGDEFooDEo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>3\n"]}} {"board": "oBooCoBAACooDDoEFoooEFGGG", "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: oBooCoBAACooDDoEFoooEFGGG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,A>1\n"]}} {"board": "AAoBoCDDBoCEEBFGHHoFGoooF", "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: AAoBoCDDBoCEEBFGHHoFGoooF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "BBBCoDoECoDoEooooFFFAAooo", "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: BBBCoDoECoDoEooooFFFAAooo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>3\n"]}} {"board": "BBBoooCDoooCDoEFoAAEFoGGo", "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: BBBoooCDoooCDoEFoAAEFoGGo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,A>1\n"]}} {"board": "oBooCoBAACDBEooDoEFoGGEFo", "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: oBooCoBAACDBEooDoEFoGGEFo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,A>1\n"]}} {"board": "oAAoBooCoBooCoooDoEooDoEo", "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: oAAoBooCoBooCoooDoEooDoEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "AABooCDBooCDBooCDoEFoGGEF", "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: AABooCDBooCDBooCDoEFoGGEF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "AAooooooBCDEEBCDooBFDGGGF", "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: AAooooooBCDEEBCDooBFDGGGF\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>3\n"]}} {"board": "ooAABoCDoBoCDoBEEDFooooFo", "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: ooAABoCDoBoCDoBEEDFooooFo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>1\n"]}} {"board": "ooBBBCDooECDFGEoDFGEooAAo", "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: ooBBBCDooECDFGEoDFGEooAAo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "BAAooBoCCDEEFoDoGFHHoGIIo", "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: BAAooBoCCDEEFoDoGFHHoGIIo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "BCoDEBCoDEFFFooooAAoooooo", "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: BCoDEBCoDEFFFooooAAoooooo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "oAAoooBooooBooCooDDCEEooC", "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: oAAoooBooooBooCooDDCEEooC\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "AAoooooooBoCDoBECDFFECDoo", "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: AAoooooooBoCDoBECDFFECDoo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>3\n"]}} {"board": "oBAAooBooCDEFFCDEoooDGGoo", "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: oBAAooBooCDEFFCDEoooDGGoo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "ooAAoBBBCCDEoFFDEGooDoGHH", "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: ooAAoBBBCCDEoFFDEGooDoGHH\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "oBAAooBoooooCCoDEooFDEooF", "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: oBAAooBoooooCCoDEooFDEooF\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "BCAADBCEEDFGoHoFGIHoFoIHo", "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: BCAADBCEEDFGoHoFGIHoFoIHo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,A>1\n"]}} {"board": "oBBBCDDDoCoEFoGoEFoGAAooo", "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: oBBBCDDDoCoEFoGoEFoGAAooo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>3\n"]}} {"board": "AAooBCCooBDDDEooFoEGoFooG", "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: AAooBCCooBDDDEooFoEGoFooG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "ooAAoBBoCDoEFCDGEFooGEFHH", "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: ooAAoBBoCDoEFCDGEFooGEFHH\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "oBBBCDEooCDEAAFGGGoFHHHoo", "size": 5, "moves": 2, "solution": ["Fv1", "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: oBBBCDEooCDEAAFGGGoFHHHoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nFv1,A>1\n"]}} {"board": "BCCCoBDAAooDooEoDooEoooFF", "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: BCCCoBDAAooDooEoDooEoooFF\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "BCAAoBCooDoEEEDFooGGFHHII", "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: BCAAoBCooDoEEEDFooGGFHHII\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "ooBoooCBDEoCoDEFAAoEFoooo", "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: ooBoooCBDEoCoDEFAAoEFoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,A>2\n"]}} {"board": "BAAooBoCCoDooooDEEFFGGoHH", "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: BAAooBoCCoDooooDEEFFGGoHH\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "BAAoCBoDECFFDECGoHHoGooII", "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: BAAoCBoDECFFDECGoHHoGooII\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>2\n"]}} {"board": "BCDDDBCAAoBEEEFGGooFoHHII", "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: BCDDDBCAAoBEEEFGGooFoHHII\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "oBoCoDBoCEDoAAEFGGHHFooII", "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: oBoCoDBoCEDoAAEFGGHHFooII\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,A>1\n"]}} {"board": "oAABooCCBDEFFBDEGGoHEIIoH", "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: oAABooCCBDEFFBDEGGoHEIIoH\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "ooBBBAAooooooCCooDDDEEFFF", "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: ooBBBAAooooooCCooDDDEEFFF\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>3\n"]}} {"board": "BooooBoAACBoDDCEooFoEGGFo", "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: BooooBoAACBoDDCEooFoEGGFo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>1\n"]}} {"board": "BAACoBoDCoooDCoEEDoooooFF", "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: BAACoBoDCoooDCoEEDoooooFF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>2\n"]}} {"board": "BCCCDBEEEDBoAAooFFoGooHHG", "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: BCCCDBEEEDBoAAooFFoGooHHG\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "BAACoBoDCEFGDoEFGHoEIIHJJ", "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: BAACoBoDCEFGDoEFGHoEIIHJJ\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>2\n"]}} {"board": "BAAooBooCCBoDDDooEEooFFFo", "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: BAAooBooCCBoDDDooEEooFFFo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "BAAoCBDDoCBoEEooFGGooFoHH", "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: BAAoCBDDoCBoEEooFGGooFoHH\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>2\n"]}} {"board": "oBCDoEBCDoEoCoFoooGFAAoGo", "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: oBCDoEBCDoEoCoFoooGFAAoGo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nG^1,A>3\n"]}} {"board": "AAooBCCCDBEEoDooFFFoooGGo", "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: AAooBCCCDBEEoDooFFFoooGGo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "BoooCBAAoCBDEFooDEFooGGHH", "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: BoooCBAAoCBDEFooDEFooGGHH\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,A>2\n"]}} {"board": "AAoooBCCDEBFFDEBGoHHoGoII", "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: AAoooBCCDEBFFDEBGoHHoGoII\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>3\n"]}} {"board": "ooBBBAAoooCCoDoEFFDGEoHHG", "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: ooBBBAAoooCCoDoEFFDGEoHHG\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>3\n"]}} {"board": "BAAooBoCDEBoCDEoFGHIoFGHI", "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: BAAooBoCDEBoCDEoFGHIoFGHI\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "oBAAooBoooCooooCooooooooo", "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: oBAAooBoooCooooCooooooooo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "BBBCoDDDCEAAooEFGooHFGooH", "size": 5, "moves": 2, "solution": ["E^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: BBBCoDDDCEAAooEFGooHFGooH\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,A>3\n"]}} {"board": "ooBBBooAAooCCCoDooooDEEoo", "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: ooBBBooAAooCCCoDooooDEEoo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "BCCCDBEooDBEoooFAAooFGGGo", "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: BCCCDBEooDBEoooFAAooFGGGo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "BooooBAAooBoCCCoooooDDooo", "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: BooooBAAooBoCCCoooooDDooo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "AAoBoCooBDCooBDoEEoFGGHHF", "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: AAoBoCooBDCooBDoEEoFGGHHF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "BBBooCDEFoCDEFoCDEFooAAoo", "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: BBBooCDEFoCDEFoCDEFooAAoo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "oBCCCDBAAoDEEoFGGHHFooIII", "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: oBCCCDBAAoDEEoFGGHHFooIII\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "oooooBAAooBCDEEoCDoFGGDoF", "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: oooooBAAooBCDEEoCDoFGGDoF\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "oAAooBBBCCDEoooDEoFoDGGFo", "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: oAAooBBBCCDEoooDEoFoDGGFo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2\n"]}} {"board": "AAooBCDEFBCDEFBCDGGoooHHo", "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: AAooBCDEFBCDEFBCDGGoooHHo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "BCAAoBCDEEBCDoooFoGooFoGo", "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: BCAAoBCDEEBCDoooFoGooFoGo\nOptimal length (moves): 1\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1\n"]}} {"board": "oAABoooCBoDoCBoDEFooDEFoo", "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: oAABoooCBoDoCBoDEFooDEFoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "BAACoBooCoDEoFFDEoGHoooGH", "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: BAACoBooCoDEoFFDEoGHoooGH\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,E<2,Cv1,A>2\n"]}} {"board": "BoAACBDDDCEEoFFoooooGGGHH", "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: BoAACBDDDCEEoFFoooooGGGHH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Cv1,A>1\n"]}} {"board": "BBBoCDEAACDEFFFoooGooooGo", "size": 5, "moves": 4, "solution": ["Ev2", "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: BBBoCDEAACDEFFFoooGooooGo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv2,E<1,Cv2,A>1\n"]}} {"board": "oBBBCoooDCoAADEFFGoEooGoo", "size": 5, "moves": 3, "solution": ["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: oBBBCoooDCoAADEFFGoEooGoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv2,Dv1,A>2\n"]}} {"board": "BAACDBooCDoEEEoooFFFGGooo", "size": 5, "moves": 4, "solution": ["Dv1", "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: BAACDBooCDoEEEoooFFFGGooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,E<1,Cv1,A>2\n"]}} {"board": "oAAoBCCooBDEoFFDEoGGDHHHo", "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: oAAoBCCooBDEoFFDEoGGDHHHo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Bv1,A>2\n"]}} {"board": "oAABCDDEBCooEFooooFoGGooo", "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: oAABCDDEBCooEFooooFoGGooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Fv1,Bv1,A>2\n"]}} {"board": "oAABCDooBCDooEEFFGGoooHHH", "size": 5, "moves": 4, "solution": ["E<2", "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: oAABCDooBCDooEEFFGGoooHHH\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<2,Bv1,Bv1,A>2\n"]}} {"board": "ooAABCoDoBCEDFGoEHFGooHoo", "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: ooAABCoDoBCEDFGoEHFGooHoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nGv1,Bv1,A>1\n"]}} {"board": "BBBoCoAADCEEoDooooooFFFGG", "size": 5, "moves": 3, "solution": ["Cv2", "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: BBBoCoAADCEEoDooooooFFFGG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,Cv1,A>2\n"]}} {"board": "oAAoBCCCoBDooEEDooFFDoGGo", "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: oAAoBCCCoBDooEEDooFFDoGGo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv1,A>2\n"]}} {"board": "AAoBooooBCoDDDCoEEECFFGGo", "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: AAoBooooBCoDDDCoEEECFFGGo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv1,A>3\n"]}} {"board": "BBBCDoEoCDoEoooFooGHFAAGH", "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: BBBCDoEoCDoEoooFooGHFAAGH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nG^1,H^1,A>2\n"]}} {"board": "oBooooBCCCoBDooEoDFGEAAFG", "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: oBooooBCCCoBDooEoDFGEAAFG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,G^1,A>2\n"]}} {"board": "BBBCoAAoCDooooDoooEEoFFoo", "size": 5, "moves": 4, "solution": ["E<2", "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: BBBCoAAoCDooooDoooEEoFFoo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<2,Cv2,Cv1,A>3\n"]}} {"board": "BCCCDBEAADFEoooFEoGGoHHHo", "size": 5, "moves": 3, "solution": ["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: BCCCDBEAADFEoooFEoGGoHHHo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,Dv2,A>1\n"]}} {"board": "AABooCCBDDoEEooooFFFGGHHH", "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: AABooCCBDDoEEooooFFFGGHHH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv1,A>3\n"]}} {"board": "oAABCoDDBCooooCEFoooEFGGG", "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: oAABCoDDBCooooCEFoooEFGGG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>2\n"]}} {"board": "ooBooCDBoECDBFEoDoFGAAoFG", "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: ooBooCDBoECDBFEoDoFGAAoFG\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,F^1,G^1,A>3\n"]}} {"board": "BoCCCBoooDooAADEooFFEooGG", "size": 5, "moves": 3, "solution": ["C<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: BoCCCBoooDooAADEooFFEooGG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,D^1,A>1\n"]}} {"board": "BCCCoBAADEooFDEoGFoooGooo", "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: BCCCoBAADEooFDEoGFoooGooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,Dv1,A>2\n"]}} {"board": "oBBBoAACDoEoCDFEoCoFEGGoo", "size": 5, "moves": 4, "solution": ["Dv1", "G>2", "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: oBBBoAACDoEoCDFEoCoFEGGoo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,G>2,Cv1,A>3\n"]}} {"board": "ooAABCCooBDEooBDEoFFoEGGG", "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: ooAABCCooBDEooBDEoFFoEGGG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Bv1,A>1\n"]}} {"board": "oAABCDDoBCooEBooFEoooFGGG", "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: oAABCDDoBCooEBooFEoooFGGG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>2\n"]}} {"board": "AAooBoCDDBECooFECooFEGGoo", "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: AAooBoCDDBECooFECooFEGGoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nFv1,Bv1,A>3\n"]}} {"board": "BAAoCBoDDCoEEFGHIJFGHIJoo", "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: BAAoCBoDDCoEEFGHIJFGHIJoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nGv1,Cv1,A>2\n"]}} {"board": "BBBoooCCCDEooFDEAAFoGGGHH", "size": 5, "moves": 3, "solution": ["C<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: BBBoooCCCDEooFDEAAFoGGGHH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,F^1,A>2\n"]}} {"board": "AAoBCoDDBCooEooooEFFGGEoo", "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: AAoBCoDDBCooEooooEFFGGEoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>3\n"]}} {"board": "BCAADBCEFDGCEFHGIIIHGoooo", "size": 5, "moves": 3, "solution": ["Hv1", "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: BCAADBCEFDGCEFHGIIIHGoooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nHv1,Dv1,A>1\n"]}} {"board": "BAAoCBDEoCBDEoFGDooFGHHHo", "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: BAAoCBDEoCBDEoFGDooFGHHHo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nFv1,Cv1,A>2\n"]}} {"board": "BBBCooAACooDoCoEDooFEGGGF", "size": 5, "moves": 4, "solution": ["E^1", "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: BBBCooAACooDoCoEDooFEGGGF\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,G<1,Cv2,A>2\n"]}} {"board": "BAACoBDDCoBoEEFoGooFoGHHo", "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: BAACoBDDCoBoEEFoGooFoGHHo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Cv1,A>2\n"]}} {"board": "oAABoCCCBDoEoFDoEGFDHHGoo", "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: oAABoCCCBDoEoFDoEGFDHHGoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nFv1,Bv1,A>2\n"]}} {"board": "AAoBCoDDBCEFFooEooGooHHGo", "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: AAoBCoDDBCEFFooEooGooHHGo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>3\n"]}} {"board": "AAooBCDooBCDoEEoFGGooFHHo", "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: AAooBCDooBCDoEEoFGGooFHHo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv1,A>3\n"]}} {"board": "BCAADBCooDBCooEFFFoEGGGoo", "size": 5, "moves": 3, "solution": ["Ev1", "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: BCAADBCooDBCooEFFFoEGGGoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,Dv1,A>1\n"]}} {"board": "ooooooAABooooBooooBooooCC", "size": 5, "moves": 3, "solution": ["C<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: ooooooAABooooBooooBooooCC\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,Bv1,A>2\n"]}} {"board": "BAAoCBDDDCoooEEFFGHHIIGoo", "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: BAAoCBDDDCoooEEFFGHHIIGoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Cv1,A>2\n"]}} {"board": "BCDDDBCEEEFCGooFoGHIoAAHI", "size": 5, "moves": 3, "solution": ["H^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: BCDDDBCEEEFCGooFoGHIoAAHI\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nH^1,I^1,A>2\n"]}} {"board": "AABoCDDBECFFoECGHIJoGHIJo", "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: AABoCDDBECFFoECGHIJoGHIJo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>3\n"]}} {"board": "ooBBBooCoDooCEDFGoEHFGAAH", "size": 5, "moves": 4, "solution": ["B<1", "D^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: ooBBBooCoDooCEDFGoEHFGAAH\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,D^1,H^1,A>1\n"]}} {"board": "oooBCDAABCDEEBCDooFFGGGoo", "size": 5, "moves": 4, "solution": ["F<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: oooBCDAABCDEEBCDooFFGGGoo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<2,Bv2,Bv2,A>2\n"]}} {"board": "oAAoBoCCoBDDoEEoooFFGGGHH", "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: oAAoBoCCoBDDoEEoooFFGGGHH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv1,A>2\n"]}} {"board": "oAABCoDoBCEDooCEooFFEGGHH", "size": 5, "moves": 4, "solution": ["Bv1", "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: oAABCoDoBCEDooCEooFFEGGHH\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,F<1,Bv1,A>2\n"]}} {"board": "ooBBBoAACooDDCooooEEFFGGo", "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: ooBBBoAACooDDCooooEEFFGGo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<2,Cv1,A>2\n"]}} {"board": "oBAACoBoDCoEFDCoEFGGHHIIo", "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: oBAACoBoDCoEFDCoEFGGHHIIo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,G<1,Cv1,A>1\n"]}} {"board": "oBBBCAAoDCEooDoEFFoooGGHH", "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: oBBBCAAoDCEooDoEFFoooGGHH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,Cv1,A>3\n"]}} {"board": "ooAABCCDDBEooFFEGGoHIIJJH", "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: ooAABCCDDBEooFFEGGoHIIJJH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Bv1,A>1\n"]}} {"board": "ooooBCoAABCoDDDooEEEoooFF", "size": 5, "moves": 4, "solution": ["D<1", "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: ooooBCoAABCoDDDooEEEoooFF\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,E<1,Bv2,A>1\n"]}} {"board": "BBBoCDAAECDooECDoFEoooFoo", "size": 5, "moves": 3, "solution": ["Cv2", "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: BBBoCDAAECDooECDoFEoooFoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,Dv1,A>2\n"]}} {"board": "AAoBoCCCBoDDoEoFFoEooGGGo", "size": 5, "moves": 4, "solution": ["G<1", "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: AAoBoCCCBoDDoEoFFoEooGGGo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,Ev1,Bv1,A>3\n"]}} {"board": "BooooBCoDoBCoDEFFFGEAAoGo", "size": 5, "moves": 3, "solution": ["D^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: BooooBCoDoBCoDEFFFGEAAoGo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,G^1,A>3\n"]}} {"board": "BBBooCAADoCEEDFCGGDFoHHHo", "size": 5, "moves": 3, "solution": ["H<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: BBBooCAADoCEEDFCGGDFoHHHo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nH<1,Dv1,A>2\n"]}} {"board": "BAAoCBDDDCBoEFFGHEooGHooo", "size": 5, "moves": 4, "solution": ["Ev1", "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: BAAoCBDDDCBoEFFGHEooGHooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,E<1,Cv1,A>2\n"]}} {"board": "BCoooBCDoEAADoEFFGGoHHIII", "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: BCoooBCDoEAADoEFFGGoHHIII\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E^1,A>3\n"]}} {"board": "ooBBBAAoCDEooCDEooFFooGGG", "size": 5, "moves": 4, "solution": ["F<2", "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: ooBBBAAoCDEooCDEooFFooGGG\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<2,Cv1,Cv1,A>3\n"]}} {"board": "oBBBCoDDDCAAoEFGHHEFGooII", "size": 5, "moves": 4, "solution": ["I<2", "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: oBBBCoDDDCAAoEFGHHEFGooII\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nI<2,Ev1,Ev1,A>3\n"]}} {"board": "ooAABooCCBDDooBoooEEFFooo", "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: ooAABooCCBDDooBoooEEFFooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv1,A>1\n"]}} {"board": "AAoBCDDEBCooEBCFFEoooooGG", "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: AAoBCDDEBCooEBCFFEoooooGG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>3\n"]}} {"board": "oBBBCAADECFoDECFGooooGooo", "size": 5, "moves": 4, "solution": ["Cv2", "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: oBBBCAADECFoDECFGooooGooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,Cv1,Cv1,A>3\n"]}} {"board": "oAABCoDEBCoDEoCoFFFoGGoHH", "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: oAABCoDEBCoDEoCoFFFoGGoHH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>2\n"]}} {"board": "BooooBAACooDDCoEooCFEoGGF", "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: BooooBAACooDDCoEooCFEoGGF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,Cv1,A>2\n"]}} {"board": "AAoBoCCCBDEEFGDooFGooHHoo", "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: AAoBoCCCBDEEFGDooFGooHHoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nGv1,Bv1,A>3\n"]}} {"board": "oAABCDDDBCooEEooooFoGGoFo", "size": 5, "moves": 4, "solution": ["Cv1", "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: oAABCDDDBCooEEooooFoGGoFo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,E<1,Bv1,A>2\n"]}} {"board": "BCooDBCAADBoooDoEEEoooFFF", "size": 5, "moves": 3, "solution": ["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: BCooDBCAADBoooDoEEEoooFFF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Dv2,A>1\n"]}} {"board": "AAoBCDDoBCEEoBoooFooooFGG", "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: AAoBCDDoBCEEoBoooFooooFGG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>3\n"]}} {"board": "oAABCDoEBCDoEBooFEoooFooo", "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: oAABCDoEBCDoEBooFEoooFooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>2\n"]}} {"board": "BBBooooCCCoAADEoooDEoooFF", "size": 5, "moves": 4, "solution": ["C<2", "D^2", "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: BBBooooCCCoAADEoooDEoooFF\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,D^2,E^2,A>2\n"]}} {"board": "BAAoCBDDECFooEGFHIIGoHoJJ", "size": 5, "moves": 4, "solution": ["J<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: BAAoCBDDECFooEGFHIIGoHoJJ\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nJ<1,Gv1,Cv1,A>2\n"]}} {"board": "AABooooBCCDDEFFooEoGooooG", "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: AABooooBCCDDEFFooEoGooooG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,Bv1,A>3\n"]}} {"board": "BCAADBCoEDFFoEGHooEGHoIII", "size": 5, "moves": 4, "solution": ["I<1", "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: BCAADBCoEDFFoEGHooEGHoIII\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nI<1,Gv1,Dv1,A>1\n"]}} {"board": "AAoBoCCCBoDEEEoDFFGooHHGo", "size": 5, "moves": 4, "solution": ["Dv1", "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: AAoBoCCCBoDEEEoDFFGooHHGo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,D<1,Bv1,A>3\n"]}} {"board": "oBooCoBAACDBoooDEoFFDEGGG", "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: oBooCoBAACDBoooDEoFFDEGGG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Cv2,A>1\n"]}} {"board": "oBBBooCDooECDFGEAAFGEHHoo", "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: oBBBooCDooECDFGEAAFGEHHoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,G^1,A>2\n"]}} {"board": "oBBBCDoAACDoEEEoFoGGoFHHH", "size": 5, "moves": 4, "solution": ["E<1", "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: oBBBCDoAACDoEEEoFoGGoFHHH\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,G<1,Cv2,A>1\n"]}} {"board": "oAABCDEEBCDoFooDoFooGGGHH", "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: oAABCDEEBCDoFooDoFooGGGHH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>2\n"]}} {"board": "BCDooBCDEFooDEFoAAEFoGGGo", "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: BCDooBCDEFooDEFoAAEFoGGGo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,F^1,A>2\n"]}} {"board": "AAooBCCCoBoDDDEFooGEFHHGo", "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: AAooBCCCoBoDDDEFooGEFHHGo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,Bv1,A>3\n"]}} {"board": "oBBBooAACoDDoCoEoFFGEHHoG", "size": 5, "moves": 3, "solution": ["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: oBBBooAACoDDoCoEoFFGEHHoG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Cv1,A>2\n"]}} {"board": "AABoCDoBoCDooooDEEooooooo", "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: AABoCDoBoCDooooDEEooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>3\n"]}} {"board": "ooAABoCooBoCoDEFCoDEFooGG", "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: ooAABoCooBoCoDEFCoDEFooGG\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,Ev1,Bv1,A>1\n"]}} {"board": "oBooCDBAACDooEEFFFooGGHHo", "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: oBooCDBAACDooEEFFFooGGHHo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Cv2,A>1\n"]}} {"board": "ooAABCCCoBDEFGGDEFHIDooHI", "size": 5, "moves": 4, "solution": ["Fv1", "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: ooAABCCCoBDEFGGDEFHIDooHI\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nFv1,F<1,Bv1,A>1\n"]}} {"board": "BBBoCAAooCoDDDCEoFFFEooGG", "size": 5, "moves": 4, "solution": ["F<1", "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: BBBoCAAooCoDDDCEoFFFEooGG\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,G<1,Cv2,A>3\n"]}} {"board": "oBoCoDBECFDBEoFooEGHAAoGH", "size": 5, "moves": 4, "solution": ["F^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: oBoCoDBECFDBEoFooEGHAAoGH\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,G^1,H^1,A>3\n"]}} {"board": "BoAACBDEoCBDEoCoDFFFGGHHo", "size": 5, "moves": 4, "solution": ["D^1", "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: BoAACBDEoCBDEoCoDFFFGGHHo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,F<1,Dv1,A>1\n"]}} {"board": "oAABCDDEBCFoEooFooGGFoHHH", "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: oAABCDDEBCFoEooFooGGFoHHH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>2\n"]}} {"board": "oooBoooCBDAACoDoEEoFoGGGF", "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: oooBoooCBDAACoDoEEoFoGGGF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^1,A>3\n"]}} {"board": "AAoBCDDDBCEFooGEFoHGoIIHo", "size": 5, "moves": 4, "solution": ["Bv1", "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: AAoBCDDDBCEFooGEFoHGoIIHo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Gv1,Bv1,A>3\n"]}} {"board": "BAAoCBDDECBFFEGHooEGHIIoo", "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: BAAoCBDDECBFFEGHooEGHIIoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nGv1,Cv1,A>2\n"]}} {"board": "BooooBAAoCDDEECFFGGCooHHH", "size": 5, "moves": 3, "solution": ["H<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: BooooBAAoCDDEECFFGGCooHHH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nH<1,Cv1,A>2\n"]}} {"board": "ooAABoCCCBDoEEEDFFFGooooG", "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: ooAABoCCCBDoEEEDFFFGooooG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv1,A>1\n"]}} {"board": "BooCoBAACooooDDoEEooFFFGG", "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: BooCoBAACooooDDoEEooFFFGG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<2,Cv2,A>2\n"]}} {"board": "BCCCoBooooooDEFAADEFoGGGo", "size": 5, "moves": 4, "solution": ["D^1", "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: BCCCoBooooooDEFAADEFoGGGo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E^1,F^1,A>3\n"]}} {"board": "AABooooBoCoDDoCooEFGooEFG", "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: AABooooBoCoDDoCooEFGooEFG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv1,A>3\n"]}} {"board": "BCDooBCDoooooEoooFEoAAFEo", "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: BCDooBCDoooooEoooFEoAAFEo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,F^1,A>3\n"]}} {"board": "AAoBCoooBCDDoBoEEEoFGGHHF", "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: AAoBCoooBCDDoBoEEEoFGGHHF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>3\n"]}} {"board": "BBBoCDDDoCoAAEFoooEFooGGo", "size": 5, "moves": 3, "solution": ["E^2", "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: BBBoCDDDoCoAAEFoooEFooGGo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^2,Fv1,A>2\n"]}} {"board": "oAABoCCCBoooDDoooEEEooFFo", "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: oAABoCCCBoooDDoooEEEooFFo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv1,A>2\n"]}} {"board": "oooooooBBBCooDECAADEFFoDo", "size": 5, "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 (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oooooooBBBCooDECAADEFFoDo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,D^2,E^1,A>2\n"]}} {"board": "BCCCDBAAEDoooEDFFoEoGGGoo", "size": 5, "moves": 3, "solution": ["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: BCCCDBAAEDoooEDFFoEoGGGoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv2,Dv1,A>2\n"]}} {"board": "oooooBCoDoBCEDooCEFoAAEFo", "size": 5, "moves": 4, "solution": ["D^1", "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: oooooBCoDoBCEDooCEFoAAEFo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E^1,F^1,A>3\n"]}} {"board": "BBBoooAACDEEECDooFooGGFoo", "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: BBBoooAACDEEECDooFooGGFoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Cv1,A>2\n"]}} {"board": "BCAADBCEFDBoEFGHooFGHoIIo", "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: BCAADBCEFDBoEFGHooFGHoIIo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nGv1,Dv1,A>1\n"]}} {"board": "BAACoBDDCEFGGHEFIIHooJJJo", "size": 5, "moves": 4, "solution": ["J<1", "Hv1", "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: BAACoBDDCEFGGHEFIIHooJJJo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nJ<1,Hv1,Cv1,A>2\n"]}} {"board": "ooBBBCoooDCEooDFEAADFGGHH", "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: ooBBBCoooDCEooDFEAADFGGHH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,D^1,A>1\n"]}} {"board": "oAABCDDoBCooEEEoFGGHoFIIH", "size": 5, "moves": 4, "solution": ["E<2", "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: oAABCDDoBCooEEEoFGGHoFIIH\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<2,Bv1,Bv1,A>2\n"]}} {"board": "AAoBCoDDBCEooBFEoooFEGGGo", "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: AAoBCoDDBCEooBFEoooFEGGGo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Fv1,Bv1,A>3\n"]}} {"board": "oBAACoBDDCoEEFFGGoHIJJoHI", "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: oBAACoBDDCoEEFFGGoHIJJoHI\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,F<1,Cv1,A>1\n"]}} {"board": "oAABCoDoBCEDoFoEDoFGHHooG", "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: oAABCoDoBCEDoFoEDoFGHHooG\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Fv1,Bv1,A>2\n"]}} {"board": "AAooBCCooBDoooBDooEEFFFGG", "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: AAooBCCooBDoooBDooEEFFFGG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv1,A>3\n"]}} {"board": "oAAoBoCCoBDEFFGDEHoGDoHoo", "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: oAAoBoCCoBDEFFGDEHoGDoHoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nGv1,Bv1,A>2\n"]}} {"board": "ooAABCDDDBCoEEEFGGoHFoIIH", "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: ooAABCDDDBCoEEEFGGoHFoIIH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv1,A>1\n"]}} {"board": "oAAoBCDDDBCEEFGHIIFGHJJoo", "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: oAAoBCDDDBCEEFGHIIFGHJJoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nGv1,Bv1,A>2\n"]}} {"board": "oBBBCAADoCEEDFoGGoFooooHH", "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: oBBBCAADoCEEDFoGGoFooooHH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,Cv1,A>3\n"]}} {"board": "BBBoCoAAoCDEFGCDEFGooooHH", "size": 5, "moves": 3, "solution": ["H<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: BBBoCoAAoCDEFGCDEFGooooHH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nH<1,Cv2,A>2\n"]}} {"board": "AABooCCBDDEoBooEoFFoGGooo", "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: AABooCCBDDEoBooEoFFoGGooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF>1,Bv1,A>3\n"]}} {"board": "ooBCoooBCDooBoDEoooFEAAoF", "size": 5, "moves": 3, "solution": ["D^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: ooBCoooBCDooBoDEoooFEAAoF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,F^1,A>2\n"]}} {"board": "AABoCooBoCDDoEoooFEGooFoG", "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: AABoCooBoCDDoEoooFEGooFoG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>3\n"]}} {"board": "BBBooAAoCoDDECoFFECoooGGG", "size": 5, "moves": 3, "solution": ["G<2", "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: BBBooAAoCoDDECoFFECoooGGG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<2,Cv1,A>3\n"]}} {"board": "BCCCoBoDEFGoDEFGHHHIGAAoI", "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: BCCCoBoDEFGoDEFGHHHIGAAoI\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,I^1,A>2\n"]}} {"board": "oBooooBoCDEFoCDEFoGDoAAGo", "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: oBooooBoCDEFoCDEFoGDoAAGo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,G^1,A>2\n"]}} {"board": "ooAABCDooBCDEEECFFFoGGoHH", "size": 5, "moves": 4, "solution": ["D^1", "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: ooAABCDooBCDEEECFFFoGGoHH\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E<1,Cv1,A>1\n"]}} {"board": "BCooDBCAADooEEooFFGGoHHHo", "size": 5, "moves": 4, "solution": ["F<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: BCooDBCAADooEEooFFGGoHHHo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,G<1,Dv2,A>1\n"]}} {"board": "AABoCDDBoCoEooooEoFFGGHHH", "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: AABoCDDBoCoEooooEoFFGGHHH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>3\n"]}} {"board": "oAABCDEoBCDEoBoDEooFGGHHF", "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: oAABCDEoBCDEoBoDEooFGGHHF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>2\n"]}} {"board": "BCDoEBCDoEoCAAFoGGGFoooHH", "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: BCDoEBCDoEoCAAFoGGGFoooHH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nH<1,Fv1,A>1\n"]}} {"board": "oBooCoBDECAADEoFoGHIFoGHI", "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: oBooCoBDECAADEoFoGHIFoGHI\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E^1,A>3\n"]}} {"board": "oooBoAAoBoCCooDEoFFDEGGoo", "size": 5, "moves": 3, "solution": ["F<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: oooBoAAoBoCCooDEoFFDEGGoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Bv2,A>3\n"]}} {"board": "ooBooAABoCDDBECoFoEooFoGG", "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: ooBooAABoCDDBECoFoEooFoGG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,Bv1,A>3\n"]}} {"board": "BCoooBCoooBooDoooEDFAAEoF", "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: BCoooBCoooBooDoooEDFAAEoF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,F^1,A>3\n"]}} {"board": "oAABCoooBCDDoooEEooooFFFo", "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: oAABCoooBCDDoooEEooooFFFo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>2\n"]}} {"board": "AABCoDDBCoooEEFGGGoFHHoII", "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: AABCoDDBCoooEEFGGGoFHHoII\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<2,Bv1,Bv1,A>3\n"]}} {"board": "oAABCoooBCoDDBCEFGooEFGHH", "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: oAABCoooBCoDDBCEFGooEFGHH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>2\n"]}} {"board": "BBBooCAADoCEEDFCoGGFoHHHo", "size": 5, "moves": 3, "solution": ["G<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: BBBooCAADoCEEDFCoGGFoHHHo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,Dv1,A>2\n"]}} {"board": "oBoooCBDDDCoAAEFFFoEoGGHH", "size": 5, "moves": 4, "solution": ["G<1", "H<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: oBoooCBDDDCoAAEFFFoEoGGHH\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,H<1,Ev1,A>1\n"]}} {"board": "ooooBoAAoBoCooBoCoDDooEEo", "size": 5, "moves": 3, "solution": ["D<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: ooooBoAAoBoCooBoCoDDooEEo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv2,A>2\n"]}} {"board": "ooBBBCAADECFFDECGooEoGooo", "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: ooBBBCAADECFFDECGooEoGooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,Dv1,A>2\n"]}} {"board": "oAABCooDBCooDooEFDooEFooo", "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: oAABCooDBCooDooEFDooEFooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>2\n"]}} {"board": "ooAABCoooBCoDDBoEEFFoooGG", "size": 5, "moves": 4, "solution": ["E<1", "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: ooAABCoooBCoDDBoEEFFoooGG\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,F<1,Bv1,A>1\n"]}} {"board": "oooooBooCDBAACDEoFGHEoFGH", "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: oooooBooCDBAACDEoFGHEoFGH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^1,A>2\n"]}} {"board": "BCAADBCooDoCooEFFFoEooGGo", "size": 5, "moves": 3, "solution": ["Ev1", "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: BCAADBCooDoCooEFFFoEooGGo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,Dv1,A>1\n"]}} {"board": "ooAABoCCDBEFFDGEoHHGEooII", "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: ooAABoCCDBEFFDGEoHHGEooII\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nI<1,Gv1,Bv1,A>1\n"]}} {"board": "ooAABCCCoBDEFFGDEHHGoEIIo", "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: ooAABCCCoBDEFFGDEHHGoEIIo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nGv1,Bv1,A>1\n"]}} {"board": "oAAoBoCCDBEooDFEooDFooGGG", "size": 5, "moves": 4, "solution": ["G<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: oAAoBoCCDBEooDFEooDFooGGG\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,Fv1,Bv1,A>2\n"]}} {"board": "ooAABooooBCoDDBCEoFFoEGGG", "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: ooAABooooBCoDDBCEoFFoEGGG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Bv1,A>1\n"]}} {"board": "oBBBooCoDEFCGDEFCGoHAAooH", "size": 5, "moves": 3, "solution": ["E^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: oBBBooCoDEFCGDEFCGoHAAooH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,H^1,A>3\n"]}} {"board": "AAooBCCDDBoooEEooFFFoGGGo", "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: AAooBCCDDBoooEEooFFFoGGGo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv1,A>3\n"]}} {"board": "oooooooBCDEFBCDEFBCGoFAAG", "size": 5, "moves": 3, "solution": ["D^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: oooooooBCDEFBCDEFBCGoFAAG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,G^1,A>1\n"]}} {"board": "AAoBCDDoBCoEFBooEFoooEGGG", "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: AAoBCDDoBCoEFBooEFoooEGGG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>3\n"]}} {"board": "AABooooBoCoDDoCoEFoCoEFoo", "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: AABooooBoCoDDoCoEFoCoEFoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv1,A>3\n"]}} {"board": "AABoCooBDCoooDCEEEFooooFo", "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: AABoCooBDCoooDCEEEFooooFo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>3\n"]}} {"board": "AABooCCBoooDEEooDooFoDGGF", "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: AABooCCBoooDEEooDooFoDGGF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE>1,Bv1,A>3\n"]}} {"board": "BAAoCBDDDCEEFFCGHoIIGHoJJ", "size": 5, "moves": 3, "solution": ["I<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: BAAoCBDDDCEEFFCGHoIIGHoJJ\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nI<1,Cv1,A>2\n"]}} {"board": "ooAABooCoBoDCoBoDEEEoDoFF", "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: ooAABooCoBoDCoBoDEEEoDoFF\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,E<1,Cv1,A>1\n"]}} {"board": "ooBBBAAoCDEEoCDFoGCoFoGoo", "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: ooBBBAAoCDEEoCDFoGCoFoGoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Cv1,A>3\n"]}} {"board": "oAABCDDoBCoEEooFGoooFGooo", "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: oAABCDDoBCoEEooFGoooFGooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>2\n"]}} {"board": "AABoCDDBoCoooECFGoEoFGooo", "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: AABoCDDBoCoooECFGoEoFGooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>3\n"]}} {"board": "AAooBCCCoBooDDBoEEFFGGGHH", "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: AAooBCCCoBooDDBoEEFFGGGHH\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,F<1,Bv1,A>3\n"]}} {"board": "ooBBBoCCCDEAAoDEooFFEGGGo", "size": 5, "moves": 3, "solution": ["B<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: ooBBBoCCCDEAAoDEooFFEGGGo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,D^1,A>2\n"]}} {"board": "BCCCDBEAADFEGoDFHGoooHoII", "size": 5, "moves": 3, "solution": ["I<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: BCCCDBEAADFEGoDFHGoooHoII\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nI<1,Dv2,A>1\n"]}} {"board": "ooBooAABoooCCDDEEoFGHHoFG", "size": 5, "moves": 3, "solution": ["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: ooBooAABoooCCDDEEoFGHHoFG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,Bv2,A>3\n"]}} {"board": "AAooBCCooBoDoEEoDooFGGGoF", "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: AAooBCCooBoDoEEoDooFGGGoF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv1,A>3\n"]}} {"board": "oAAoBooCCBDDEEBFoGGGFoooo", "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: oAAoBooCCBDDEEBFoGGGFoooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,Bv1,A>2\n"]}} {"board": "AAooBCCooBooDDDooEEoFFooo", "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: AAooBCCooBooDDDooEEoFFooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv1,A>3\n"]}} {"board": "BooooBAACooDDCoooEEoFFFoo", "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: BooooBAACooDDCoooEEoFFFoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Cv1,A>2\n"]}} {"board": "BBBooCoAADCEEoDooooDoooFF", "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: BBBooCoAADCEEoDooooDoooFF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Dv1,A>1\n"]}} {"board": "oBBBoAACoDoECFDoEoFoGGHHo", "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: oBBBoAACoDoECFDoEoFoGGHHo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Cv1,A>3\n"]}} {"board": "ooBBBoooooCCCDoEAADoEooDo", "size": 5, "moves": 3, "solution": ["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: ooBBBoooooCCCDoEAADoEooDo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,D^2,A>2\n"]}} {"board": "AABooCCBoooDDoooEEFFoooGG", "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: AABooCCBoooDDoooEEFFoooGG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv1,A>3\n"]}} {"board": "oAABoCCoBooDDDoEEoFFGGHHo", "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: oAABoCCoBooDDDoEEoFFGGHHo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv1,A>2\n"]}} {"board": "BBBooAAoCDEooCDEFFooGGHHo", "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: BBBooAAoCDEooCDEFFooGGHHo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Cv1,A>3\n"]}} {"board": "oAABoCDDBECFFFEGHHHEGIIoo", "size": 5, "moves": 4, "solution": ["C^1", "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: oAABoCDDBECFFFEGHHHEGIIoo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,F<1,Cv1,A>2\n"]}} {"board": "ooAABCCooBDEEoFDGGHFIIIHo", "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: ooAABCCooBDEEoFDGGHFIIIHo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nFv1,Bv1,A>1\n"]}} {"board": "BooooBoCCCBDDDEooAAEFFGGG", "size": 5, "moves": 3, "solution": ["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: BooooBoCCCBDDDEooAAEFFGGG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,E^1,A>1\n"]}} {"board": "oAABCoooBCoDDooEEFGHIIFGH", "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: oAABCoooBCoDDooEEFGHIIFGH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>2\n"]}} {"board": "oooooooBooAABCDoEECDFFFoo", "size": 5, "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 (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oooooooBooAABCDoEECDFFFoo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,C^2,D^2,A>3\n"]}} {"board": "oAABoCDEBoCDEFGHDIFGHoIoG", "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: oAABoCDEBoCDEFGHDIFGHoIoG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nFv1,Bv1,A>2\n"]}} {"board": "oAAoBooCCBDoooBDEoFFDEGGo", "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: oAAoBooCCBDoooBDEoFFDEGGo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Bv1,A>2\n"]}} {"board": "BAACDBoECDFGEoDFGoHHIIIJJ", "size": 5, "moves": 4, "solution": ["Cv1", "H<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: BAACDBoECDFGEoDFGoHHIIIJJ\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,H<1,Cv1,A>2\n"]}} {"board": "oAABCDDDBCoEEEoFooooFGGHH", "size": 5, "moves": 4, "solution": ["Cv1", "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: oAABCDDDBCoEEEoFooooFGGHH\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,E<1,Bv1,A>2\n"]}} {"board": "AABCoooBCDEEFoDooFGGHHooo", "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: AABCoooBCDEEFoDooFGGHHooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Fv1,Bv1,A>3\n"]}} {"board": "oAABCDDoBCEEoBoooooFoGGoF", "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: oAABCDDoBCEEoBoooooFoGGoF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>2\n"]}} {"board": "AAooBoCCoBDEoFFDEGHHDoGII", "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: AAooBoCCoBDEoFFDEGHHDoGII\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Bv1,A>3\n"]}} {"board": "BCCCDBoAADBEEoDFoGGoFooHH", "size": 5, "moves": 3, "solution": ["H<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: BCCCDBoAADBEEoDFoGGoFooHH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nH<1,Dv2,A>1\n"]}} {"board": "BCDDDBCooooCoEoFAAEGFHHHG", "size": 5, "moves": 3, "solution": ["E^1", "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: BCDDDBCooooCoEoFAAEGFHHHG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,G^2,A>2\n"]}} {"board": "BCDDDBCAAEooooEFFoGGHHIIo", "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: BCDDDBCAAEooooEFFoGGHHIIo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,Ev1,A>1\n"]}} {"board": "BCCCoBoooooAADEoFFDEoGGoo", "size": 5, "moves": 3, "solution": ["Dv1", "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: BCCCoBoooooAADEoFFDEoGGoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,D^2,A>2\n"]}} {"board": "BooooBoCoDAACoDEEFFoGGHHH", "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: BooooBoCoDAACoDEEFFoGGHHH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^1,A>3\n"]}} {"board": "oAABCDoEBCDoEoFDoEGFoHHGo", "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: oAABCDoEBCDoEoFDoEGFoHHGo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Fv1,Bv1,A>2\n"]}} {"board": "AAooBCCooBDDEEFooGGFoHHHo", "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: AAooBCCooBDDEEFooGGFoHHHo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nFv1,Bv1,A>3\n"]}} {"board": "BBBoCoDAACoDoECooFEoGGFHH", "size": 5, "moves": 4, "solution": ["F^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: BBBoCoDAACoDoECooFEoGGFHH\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,H<1,Cv2,A>1\n"]}} {"board": "BBBCDoEoCDoEAAFooGGFHHoII", "size": 5, "moves": 3, "solution": ["I<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: BBBCDoEoCDoEAAFooGGFHHoII\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nI<1,Fv1,A>1\n"]}} {"board": "oooooBAAoCBoDDCEoFFCEoGGG", "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: oooooBAAoCBoDDCEoFFCEoGGG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,Cv1,A>2\n"]}} {"board": "ooooBAAooBCoDDDCooooEEEoo", "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: ooooBAAooBCoDDDCooooEEEoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv2,A>3\n"]}} {"board": "oooooBAACDBooCDooooooEEEo", "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: oooooBAACDBooCDooooooEEEo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Cv1,A>2\n"]}} {"board": "BAACDBEFCDBEFoDGHHHoGoooo", "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: BAACDBEFCDBEFoDGHHHoGoooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Cv1,A>2\n"]}} {"board": "BAACoBDoCEBDoCEoFFFEGGooo", "size": 5, "moves": 3, "solution": ["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: BAACoBDoCEBDoCEoFFFEGGooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Cv1,A>2\n"]}} {"board": "ooBBBoCoDEoCoDEAAoDEFFFoo", "size": 5, "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 (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooBBBoCoDEoCoDEAAoDEFFFoo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,D^1,E^1,A>3\n"]}} {"board": "BAACDBooCDooEooFGEoHFGIIH", "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: BAACDBooCDooEooFGEoHFGIIH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Cv1,A>2\n"]}} {"board": "oBooCoBAACooDDooooEEFFooo", "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: oBooCoBAACooDDooooEEFFooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Cv2,A>1\n"]}} {"board": "oBAACoBooCoDEECoDoFFGGHHH", "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: oBAACoBooCoDEECoDoFFGGHHH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Cv1,A>1\n"]}} {"board": "ooAABoCooBDCooEDoFFEoGGGo", "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: ooAABoCooBDCooEDoFFEoGGGo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,Bv1,A>1\n"]}} {"board": "BoAACBDEFCoDEFGHoEoGHoooo", "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: BoAACBDEFCoDEFGHoEoGHoooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nGv1,Cv1,A>1\n"]}} {"board": "BBBoCDoEFCDoEFGHoEIGHAAIo", "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: BBBoCDoEFCDoEFGHoEIGHAAIo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,I^1,A>2\n"]}} {"board": "ooooBCCCDBoAADEoFFFEooooo", "size": 5, "moves": 3, "solution": ["D^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: ooooBCCCDBoAADEoFFFEooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,Ev1,A>2\n"]}} {"board": "oBBBCAAooCoDDECoFFEoooGGG", "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: oBBBCAAooCoDDECoFFEoooGGG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,Cv2,A>3\n"]}} {"board": "oAAoBoooCBoDDCEFGGGEFoHHH", "size": 5, "moves": 4, "solution": ["H<1", "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: oAAoBoooCBoDDCEFGGGEFoHHH\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nH<1,Ev1,Bv1,A>2\n"]}} {"board": "AAoBCDEoBCDEoBooooFFoGGHH", "size": 5, "moves": 4, "solution": ["Cv1", "F<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: AAoBCDEoBCDEoBooooFFoGGHH\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,F<2,Bv1,A>3\n"]}} {"board": "ooBBBCAADECoFDEooFooGGoHH", "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: ooBBBCAADECoFDEooFooGGoHH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,Dv1,A>2\n"]}} {"board": "BCCCoBoAADEEFFDoooGGooHHo", "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: BCCCoBoAADEEFFDoooGGooHHo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,Dv1,A>1\n"]}} {"board": "BAACDBEECDFooCoFoGGoHHIII", "size": 5, "moves": 4, "solution": ["Dv1", "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: BAACDBEECDFooCoFoGGoHHIII\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,G<1,Cv1,A>2\n"]}} {"board": "oooBoAACBoooCBoooooDEEEoD", "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: oooBoAACBoooCBoooooDEEEoD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,Bv1,A>3\n"]}} {"board": "BCAADBCooDBoEEEFooGoFHHGo", "size": 5, "moves": 3, "solution": ["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: BCAADBCooDBoEEEFooGoFHHGo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Dv1,A>1\n"]}} {"board": "BooCoBooCDooECDAAEoDFFFoo", "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: BooCoBooCDooECDAAEoDFFFoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E^1,A>3\n"]}} {"board": "BoAACBDDoCBoEEEFooGGFHHHo", "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: BoAACBDDoCBoEEEFooGGFHHHo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Cv1,A>1\n"]}} {"board": "AAooBCoDDBCEFGHCEFGHIIoGo", "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: AAooBCoDDBCEFGHCEFGHIIoGo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nHv1,Bv1,A>3\n"]}} {"board": "AABooooBooCCDDoEEFooooFGG", "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: AABooooBooCCDDoEEFooooFGG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD>1,Bv1,A>3\n"]}} {"board": "BoAACBoDDCBEooCoEoFFoGGoo", "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: BoAACBoDDCBEooCoEoFFoGGoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Cv1,A>1\n"]}} {"board": "ooBBBCCCDooooDEoAAoEFFFoE", "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: ooBBBCCCDooooDEoAAoEFFFoE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,E^2,A>2\n"]}} {"board": "BCoooBCAADBEEFDoGGFDoHHII", "size": 5, "moves": 4, "solution": ["H<1", "I<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: BCoooBCAADBEEFDoGGFDoHHII\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nH<1,I<1,Dv1,A>1\n"]}} {"board": "AABCoDDBCoEEoooFFGGGooHHo", "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: AABCoDDBCoEEoooFFGGGooHHo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>3\n"]}} {"board": "AAooBooooBCoDDDCEFoGoEFoG", "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: AAooBooooBCoDDDCEFoGoEFoG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv1,A>3\n"]}} {"board": "BCAADBCooDEooFFEGGooEoHHH", "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: BCAADBCooDEooFFEGGooEoHHH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Dv1,A>1\n"]}} {"board": "AABoCDDBECoooEoooFFGoHHHG", "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: AABoCDDBECoooEoooFFGoHHHG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>3\n"]}} {"board": "AAoBoCooBDCEEFDCGGFHIIIoH", "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: AAoBoCooBDCEEFDCGGFHIIIoH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nFv1,Bv1,A>3\n"]}} {"board": "oBBBoCCCDoAAoDooooEEFFFGG", "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: oBBBoCCCDoAAoDooooEEFFFGG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,D^1,A>3\n"]}} {"board": "AABCoDDBCEFGHCEFGHooFooII", "size": 5, "moves": 4, "solution": ["Cv1", "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: AABCoDDBCEFGHCEFGHooFooII\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Hv1,Bv1,A>3\n"]}} {"board": "BAACoBooCooDDCoooEEoFFFGG", "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: BAACoBooCooDDCoooEEoFFFGG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Cv1,A>2\n"]}} {"board": "BAAoCBoDDCBEFGHoEFGHooooo", "size": 5, "moves": 3, "solution": ["Hv1", "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: BAAoCBoDDCBEFGHoEFGHooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nHv1,Cv1,A>2\n"]}} {"board": "BBBooCAADECFoDECFooEoFooo", "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: BBBooCAADECFoDECFooEoFooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,Dv1,A>2\n"]}} {"board": "oAABCoooBCDEEoCDFFFoDooGG", "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: oAABCoooBCDEEoCDFFFoDooGG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>2\n"]}} {"board": "BCAADBCEEDooFFFoooGHoooGH", "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: BCAADBCEEDooFFFoooGHoooGH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Dv1,A>1\n"]}} {"board": "BooCDBooCDBoEEEoFFFGooAAG", "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: BooCDBooCDBoEEEoFFFGooAAG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,G^1,A>1\n"]}} {"board": "oBAACoBooCoDooCEDoFFEDGGo", "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: oBAACoBooCoDooCEDoFFEDGGo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Cv1,A>1\n"]}} {"board": "BAAoCBDEECBDFFCoooGGoHHHo", "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: BAAoCBDEECBDFFCoooGGoHHHo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,Cv1,A>2\n"]}} {"board": "oAAoBooooBoooCCDDDoEFFooE", "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: oAAoBooooBoooCCDDDoEFFooE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,Bv1,A>2\n"]}} {"board": "BoAACBoooCooDDEFGGoEFHHHo", "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: BoAACBoooCooDDEFGGoEFHHHo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,Cv1,A>1\n"]}} {"board": "BoooCBDAACBDEEEFGGooFHHHo", "size": 5, "moves": 4, "solution": ["D^1", "E<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: BoooCBDAACBDEEEFGGooFHHHo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E<1,Dv2,A>1\n"]}} {"board": "oooooAAooBCDooBCDoEECooFF", "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: oooooAAooBCDooBCDoEECooFF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv1,A>3\n"]}} {"board": "ooooooAAoBCCooBoDDEEoFFoo", "size": 5, "moves": 4, "solution": ["D<1", "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: ooooooAAoBCCooBoDDEEoFFoo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,E<1,Bv1,A>2\n"]}} {"board": "oBBBCDEEECDAAFGDHoFGoHooo", "size": 5, "moves": 3, "solution": ["Fv1", "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: oBBBCDEEECDAAFGDHoFGoHooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nFv1,Fv1,A>2\n"]}} {"board": "BoCCCBoooDEoooDEoooFEAAoF", "size": 5, "moves": 4, "solution": ["C<1", "D^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: BoCCCBoooDEoooDEoooFEAAoF\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,D^1,F^1,A>2\n"]}} {"board": "BCCCDBooEDoAAEooFFFGooooG", "size": 5, "moves": 3, "solution": ["F<1", "Ev2", "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: BCCCDBooEDoAAEooFFFGooooG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Ev2,A>2\n"]}} {"board": "oBBBoAAoCoDDDCooEEEooooFF", "size": 5, "moves": 3, "solution": ["E<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: oBBBoAAoCoDDDCooEEEooooFF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Cv1,A>3\n"]}} {"board": "BCoDoBCoDEoAAFEGGHFIooHoI", "size": 5, "moves": 3, "solution": ["E^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: BCoDoBCoDEoAAFEGGHFIooHoI\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,Fv1,A>2\n"]}} {"board": "oAABCDDEBCFFEBGooooGHHIIo", "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: oAABCDDEBCFFEBGooooGHHIIo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Gv1,Bv1,A>2\n"]}} {"board": "oBBBoCooDECAADEFFooGHHHoG", "size": 5, "moves": 3, "solution": ["Dv2", "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: oBBBoCooDECAADEFFooGHHHoG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv2,D^1,A>2\n"]}} {"board": "AAooBoCCCBooDDDoEFFooEoGG", "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: AAooBoCCCBooDDDoEFFooEoGG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv1,A>3\n"]}} {"board": "AAooBoCCDBEooDFEGGDFooHHo", "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: AAooBoCCDBEooDFEGGDFooHHo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nFv1,Bv1,A>3\n"]}} {"board": "BAACDBEECDFoGooFoGHHFooII", "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: BAACDBEECDFoGooFoGHHFooII\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Cv1,A>2\n"]}} {"board": "oAABoCooBDCEoBDCEFFoooGGo", "size": 5, "moves": 4, "solution": ["E^1", "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: oAABoCooBDCEoBDCEFFoooGGo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,F<1,Bv1,A>2\n"]}} {"board": "ooooBCoAABCDEFFoDEGoHHoGo", "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: ooooBCoAABCDEFFoDEGoHHoGo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,E<1,Bv2,A>1\n"]}} {"board": "AAoBCDDoBCEEooFGGooFHHooo", "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: AAoBCDDoBCEEooFGGooFHHooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Fv1,Bv1,A>3\n"]}} {"board": "ooAABCCDEBFFDEGHHIEGooIoo", "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: ooAABCCDEBFFDEGHHIEGooIoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nGv1,Bv1,A>1\n"]}} {"board": "oAAoBCoDDBCooEECoFFoooGGo", "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: oAAoBCoDDBCooEECoFFoooGGo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv1,A>2\n"]}} {"board": "AABoCoDBECoDoEFoooEFGGHHo", "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: AABoCoDBECoDoEFoooEFGGHHo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Fv1,Bv1,A>3\n"]}} {"board": "oAAoBoCCoBoDDEEFGGooFooHH", "size": 5, "moves": 4, "solution": ["D<1", "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: oAAoBoCCoBoDDEEFGGooFooHH\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,E<1,Bv1,A>2\n"]}} {"board": "AABoCDDBoCoooEEFFooGoHHHG", "size": 5, "moves": 4, "solution": ["E<3", "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: AABoCDDBoCoooEEFFooGoHHHG\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<3,Bv1,Bv1,A>3\n"]}} {"board": "BBBCDAAoCDoooooooEEEooFFo", "size": 5, "moves": 4, "solution": ["E<2", "Cv2", "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: BBBCDAAoCDoooooooEEEooFFo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<2,Cv2,Cv2,A>3\n"]}} {"board": "ooAABCoDoBCEDFGHEDFGHooII", "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: ooAABCoDoBCEDFGHEDFGHooII\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nI<1,Gv1,Bv1,A>1\n"]}} {"board": "ooAABoCDDBoCEEEoFGHooFGHo", "size": 5, "moves": 4, "solution": ["C^1", "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: ooAABoCDDBoCEEEoFGHooFGHo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,E<1,Cv1,A>1\n"]}} {"board": "oAAoBoooCBooDCEFoDoEFooGG", "size": 5, "moves": 4, "solution": ["G<1", "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: oAAoBoooCBooDCEFoDoEFooGG\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,Ev1,Bv1,A>2\n"]}} {"board": "AAoBooooBCoDoBCoDEEoFFGGG", "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: AAoBooooBCoDoBCoDEEoFFGGG\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E<1,Bv1,A>3\n"]}} {"board": "oAABoooCBoooCDooEEDoooooo", "size": 5, "moves": 3, "solution": ["Dv1", "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: oAABoooCBoooCDooEEDoooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,Bv1,A>2\n"]}} {"board": "BBBCDAAoCDooEEDFFoooGGooo", "size": 5, "moves": 4, "solution": ["Dv2", "D<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: BBBCDAAoCDooEEDFFoooGGooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv2,D<1,Cv2,A>3\n"]}} {"board": "oBooCoBoDCEFoDoEFGDHAAGoH", "size": 5, "moves": 3, "solution": ["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: oBooCoBoDCEFoDoEFGDHAAGoH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nG^1,H^1,A>3\n"]}} {"board": "oBBBoooooooAACoDooCoDoEEo", "size": 5, "moves": 3, "solution": ["B<1", "C^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: oBBBoooooooAACoDooCoDoEEo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,C^2,A>2\n"]}} {"board": "ooBoCAABoCooBDoEEoDoFFooo", "size": 5, "moves": 3, "solution": ["Bv2", "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: ooBoCAABoCooBDoEEoDoFFooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,Bv2,A>3\n"]}} {"board": "BAACDBEFCDoEFCDoGGGoHHoII", "size": 5, "moves": 4, "solution": ["Dv1", "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: BAACDBEFCDoEFCDoGGGoHHoII\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,G<1,Cv1,A>2\n"]}} {"board": "oBAACoBDoCEFDGHEFoGHoIIIo", "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: oBAACoBDoCEFDGHEFoGHoIIIo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nHv1,Cv1,A>1\n"]}} {"board": "ooooooBooooBCDEAACDEFFFDE", "size": 5, "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 (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: ooooooBooooBCDEAACDEFFFDE\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^2,E^2,A>3\n"]}} {"board": "AAooBooCCBoDDEEFooGoFooGo", "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: AAooBooCCBoDDEEFooGoFooGo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,E<1,Bv1,A>3\n"]}} {"board": "AAoBooooBooCCCoDDDooEEFFo", "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: AAoBooooBooCCCoDDDooEEFFo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,Bv1,A>3\n"]}} {"board": "ooAABCDDDBCEFFGHEoIGHJJIo", "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: ooAABCDDDBCEFFGHEoIGHJJIo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nGv1,Bv1,A>1\n"]}} {"board": "ooBBBoAACDEEoCDFGGooFHHoo", "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: ooBBBoAACDEEoCDFGGooFHHoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Cv1,A>2\n"]}} {"board": "AAooBCDDoBCoEEEFFFoGoHHoG", "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: AAooBCDDoBCoEEEFFFoGoHHoG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv1,A>3\n"]}} {"board": "AAoBCDDoBCEooBoEFFooGGooo", "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: AAoBCDDoBCEooBoEFFooGGooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>3\n"]}} {"board": "oBBBoooCCCDAAEFDGGEFDooHH", "size": 5, "moves": 4, "solution": ["H<2", "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: oBBBoooCCCDAAEFDGGEFDooHH\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nH<2,Ev1,Ev1,A>2\n"]}} {"board": "ooBBBoCooDoCoEDFAAEDFGGHH", "size": 5, "moves": 4, "solution": ["B<1", "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: ooBBBoCooDoCoEDFAAEDFGGHH\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,D^1,E^1,A>2\n"]}} {"board": "AABCoDDBCoEoooFEoGGFHHHII", "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: AABCoDDBCoEoooFEoGGFHHHII\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>3\n"]}} {"board": "BAACDBoECDooEFoGGGFoHHooo", "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: BAACDBoECDooEFoGGGFoHHooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,Fv1,Cv1,A>2\n"]}} {"board": "BAAoCBDDDCoEEFFGHHoIGJJoI", "size": 5, "moves": 4, "solution": ["E<1", "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: BAAoCBDDDCoEEFFGHHoIGJJoI\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,F<1,Cv1,A>2\n"]}} {"board": "BoooCBoAACDDDoooEEFFooooo", "size": 5, "moves": 4, "solution": ["E<1", "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: BoooCBoAACDDDoooEEFFooooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,F<1,Cv2,A>1\n"]}} {"board": "BBBooAAoCooDDCooEECooooFF", "size": 5, "moves": 3, "solution": ["F<2", "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: BBBooAAoCooDDCooEECooooFF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<2,Cv1,A>3\n"]}} {"board": "AABooooBoooCCDEFooDEFooDo", "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: AABooooBoooCCDEFooDEFooDo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,Bv1,A>3\n"]}} {"board": "BBBoCoAAoCooDDDEEEFooGGFo", "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: BBBoCoAAoCooDDDEEEFooGGFo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Cv2,A>2\n"]}} {"board": "oAAoBooCCBoooDDEEEoFGGooF", "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: oAAoBooCCBoooDDEEEoFGGooF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv1,A>2\n"]}} {"board": "BAACDBooCDoooEEFFFoGooooG", "size": 5, "moves": 4, "solution": ["E<2", "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: BAACDBooCDoooEEFFFoGooooG\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<2,Cv1,Cv1,A>2\n"]}} {"board": "oBBBCDDDECoAAEooFGGHoFooH", "size": 5, "moves": 3, "solution": ["B<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: oBBBCDDDECoAAEooFGGHoFooH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,E^1,A>2\n"]}} {"board": "ooAABCoDoBCEDoFGEDoFGHHHo", "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: ooAABCoDoBCEDoFGEDoFGHHHo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nFv1,Bv1,A>1\n"]}} {"board": "BooooBoCCCoDDDoAAooEFFGGE", "size": 5, "moves": 3, "solution": ["C<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: BooooBoCCCoDDDoAAooEFFGGE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,E^2,A>3\n"]}} {"board": "BAAoCBDDoCBEEoFGHHoFGIIIo", "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: BAAoCBDDoCBEEoFGHHoFGIIIo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nFv1,Cv1,A>2\n"]}} {"board": "oAABooooBCDoEECDoFFCDoGGo", "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: oAABooooBCDoEECDoFFCDoGGo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv1,A>2\n"]}} {"board": "BBBCooAACoooDDooooooEEFFo", "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: BBBCooAACoooDDooooooEEFFo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Cv2,A>2\n"]}} {"board": "oAAoBCDDEBCFFEBCoGGGoHHHo", "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: oAAoBCDDEBCFFEBCoGGGoHHHo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,Bv1,A>2\n"]}} {"board": "AABCDEEBCDFGoCDFGHooFGHII", "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: AABCDEEBCDFGoCDFGHooFGHII\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,Bv1,A>3\n"]}} {"board": "oBBBoCAADECoFDECGFDEoGooo", "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: oBBBoCAADECoFDECGFDEoGooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,Dv1,A>2\n"]}} {"board": "BBBCoAADCooEDCooEoooooFFF", "size": 5, "moves": 4, "solution": ["Dv1", "F<2", "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: BBBCoAADCooEDCooEoooooFFF\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,F<2,Cv2,A>3\n"]}} {"board": "ooAABCDDDBCoEFFGHEooGHoII", "size": 5, "moves": 4, "solution": ["Ev1", "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: ooAABCDDDBCoEFFGHEooGHoII\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,E<1,Bv1,A>1\n"]}} {"board": "oAABCDEFBCDEFooDoGHoooGHo", "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: oAABCDEFBCDEFooDoGHoooGHo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>2\n"]}} {"board": "ooBBBCCCoooDDDoEEEFoAAoFo", "size": 5, "moves": 3, "solution": ["D<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: ooBBBCCCoooDDDoEEEFoAAoFo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,F^1,A>3\n"]}} {"board": "oBCCCoBooooooDEAAoDEooooo", "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: oBCCCoBooooooDEAAoDEooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E^1,A>3\n"]}} {"board": "BoCCCBoDDDoEAAFGEooFGEHHH", "size": 5, "moves": 4, "solution": ["C<1", "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: BoCCCBoDDDoEAAFGEooFGEHHH\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,D<1,F^2,A>1\n"]}} {"board": "AAooBoCCDBoEEDFGGooFooHHH", "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: AAooBoCCDBoEEDFGGooFooHHH\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nH<1,Fv1,Bv1,A>3\n"]}} {"board": "BCAADBCEEDoFFGHIIIGHoooJJ", "size": 5, "moves": 4, "solution": ["J<1", "Hv1", "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: BCAADBCEEDoFFGHIIIGHoooJJ\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nJ<1,Hv1,Dv1,A>1\n"]}} {"board": "ooAABoCDDBECoFGECoFGEoHHo", "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: ooAABoCDDBECoFGECoFGEoHHo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nGv1,Bv1,A>1\n"]}} {"board": "ooBBBoCCCDoAAoDEEEoFGGooF", "size": 5, "moves": 3, "solution": ["B<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: ooBBBoCCCDoAAoDEEEoFGGooF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,D^1,A>2\n"]}} {"board": "ooAABoCDoBoCDEEoCoFFoooGG", "size": 5, "moves": 4, "solution": ["Dv2", "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: ooAABoCDoBoCDEEoCoFFoooGG\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv2,D<1,Bv1,A>1\n"]}} {"board": "oBCooDBCooDoooEoAAFEoGGFE", "size": 5, "moves": 3, "solution": ["E^2", "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: oBCooDBCooDoooEoAAFEoGGFE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^2,F^2,A>2\n"]}} {"board": "AABCooDBCoEDoooEoooFEoooF", "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: AABCooDBCoEDoooEoooFEoooF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>3\n"]}} {"board": "BAACoBDECoBDECooFFFGooooG", "size": 5, "moves": 3, "solution": ["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: BAACoBDECoBDECooFFFGooooG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Cv1,A>2\n"]}} {"board": "oBoooCBDooCEDoooEoFGAAoFG", "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: oBoooCBDooCEDoooEoFGAAoFG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,G^1,A>3\n"]}} {"board": "AABCoDoBCoDoooooEEEFoGGGF", "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: AABCoDoBCoDoooooEEEFoGGGF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>3\n"]}} {"board": "AAoBCoooBCooDDooEEFFooGGG", "size": 5, "moves": 4, "solution": ["Cv1", "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: AAoBCoooBCooDDooEEFFooGGG\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,D<1,Bv1,A>3\n"]}} {"board": "AAoBoCCoBDoEFGDHEFGoHIIoo", "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: AAoBoCCoBDoEFGDHEFGoHIIoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nGv1,Bv1,A>3\n"]}} {"board": "AAooBCCCoBDDEEFGGHHFooIII", "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: AAooBCCCoBDDEEFGGHHFooIII\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nI<1,Fv1,Bv1,A>3\n"]}} {"board": "BoooCBoAACDDDoCoEooooEoFF", "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: BoooCBoAACDDDoCoEooooEoFF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Cv2,A>1\n"]}} {"board": "BBBoooCCCDoooEDFFFEGooAAG", "size": 5, "moves": 3, "solution": ["D^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: BBBoooCCCDoooEDFFFEGooAAG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,G^1,A>1\n"]}} {"board": "ooooBoAAoBoCCCBooDDooEEFF", "size": 5, "moves": 4, "solution": ["E<1", "F<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: ooooBoAAoBoCCCBooDDooEEFF\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,F<1,Bv2,A>2\n"]}} {"board": "BoCCCBoDDDBEEEFAAooFooGGo", "size": 5, "moves": 3, "solution": ["D<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: BoCCCBoDDDBEEEFAAooFooGGo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,F^1,A>3\n"]}} {"board": "AABoooCBDDoCBoEooFFEGGooo", "size": 5, "moves": 3, "solution": ["F<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: AABoooCBDDoCBoEooFFEGGooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<2,Bv1,A>3\n"]}} {"board": "oooBoCCCBDoAAEDFFoEGooooG", "size": 5, "moves": 3, "solution": ["D^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: oooBoCCCBDoAAEDFFoEGooooG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,Ev1,A>2\n"]}} {"board": "oAABCDooBCDoEooDoEFooooFo", "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: oAABCDooBCDoEooDoEFooooFo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>2\n"]}} {"board": "AABoCDEBFCDEoFoGGGFHooIIH", "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: AABoCDEBFCDEoFoGGGFHooIIH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>3\n"]}} {"board": "ooooooBBBCAAoDCEooDFEoGGF", "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: ooooooBBBCAAoDCEooDFEoGGF\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,C^1,D^2,A>3\n"]}} {"board": "ooAABoCDDBECFFFEGGooHHIIo", "size": 5, "moves": 4, "solution": ["C^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: ooAABoCDDBECFFFEGGooHHIIo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,F<1,Cv1,A>1\n"]}} {"board": "ooAABCooDBCEEDFCGGoFHHIIo", "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: ooAABCooDBCEEDFCGGoFHHIIo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nFv1,Bv1,A>1\n"]}} {"board": "AAoBooooBCoooBCDEEECDFFoo", "size": 5, "moves": 4, "solution": ["D^2", "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: AAoBooooBCoooBCDEEECDFFoo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,E<1,Bv1,A>3\n"]}} {"board": "oBBBCDoAACDoEECFFoGGoHHHo", "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: oBBBCDoAACDoEECFFoGGoHHHo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,Cv2,A>1\n"]}} {"board": "oooBCoooBCAAoDEFFFDEGGGoo", "size": 5, "moves": 3, "solution": ["Dv1", "Dv1", "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: oooBCoooBCAAoDEFFFDEGGGoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,Dv1,A>3\n"]}} {"board": "AAooBCDDoBCooEEoFGGooFoHH", "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: AAooBCDDoBCooEEoFGGooFoHH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv1,A>3\n"]}} {"board": "oooooBoAACBDDDCEEoFFoGGGo", "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: oooooBoAACBDDDCEEoFFoGGGo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Cv1,A>1\n"]}} {"board": "AAooBooCCBooDDDooEEEFFooo", "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: AAooBooCCBooDDDooEEEFFooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv1,A>3\n"]}} {"board": "BCDooBCDEooAAEFGGHoFooHII", "size": 5, "moves": 3, "solution": ["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: BCDooBCDEooAAEFGGHoFooHII\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,F^2,A>2\n"]}} {"board": "oAAoBoCCCBDDoEFGGoEFHHHEo", "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: oAAoBoCCCBDDoEFGGoEFHHHEo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nFv1,Bv1,A>2\n"]}} {"board": "BBBoCDAAoCDEoFFGEoooGEoHH", "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: BBBoCDAAoCDEoFFGEoooGEoHH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Cv2,A>2\n"]}} {"board": "BooooBCCCDoAAEDFFFEoooGGG", "size": 5, "moves": 4, "solution": ["D^1", "G<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: BooooBCCCDoAAEDFFFEoooGGG\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,G<2,Ev1,A>2\n"]}} {"board": "AAooBCDooBCDooEoFFoEGGooo", "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: AAooBCDooBCDooEoFFoEGGooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,Bv1,A>3\n"]}} {"board": "BCCCDBEEEDFoGGGFHooIFHAAI", "size": 5, "moves": 3, "solution": ["G<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: BCCCDBEEEDFoGGGFHooIFHAAI\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,I^1,A>1\n"]}} {"board": "BBBooooAACoDDoCEoFFFEGGHH", "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: BBBooooAACoDDoCEoFFFEGGHH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Cv1,A>1\n"]}} {"board": "BCAADBCooDEFoGGEFHoIoFHoI", "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: BCAADBCooDEFoGGEFHoIoFHoI\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,Dv1,A>1\n"]}} {"board": "AAoBooCCBooooDoEEoDoooooo", "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: AAoBooCCBooooDoEEoDoooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,Bv1,A>3\n"]}} {"board": "AAoBCDoEBCDoEFoGHHFoGIIoo", "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: AAoBCDoEBCDoEFoGHHFoGIIoo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Fv1,Bv1,A>3\n"]}} {"board": "oAABCDEEBCDFFBooGGGoHHIIo", "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: oAABCDEEBCDFFBooGGGoHHIIo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,G<1,Bv1,A>2\n"]}} {"board": "AABCooDBCooDooEFFGGEooooE", "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: AABCooDBCooDooEFFGGEooooE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>3\n"]}} {"board": "AAooBCDDoBCooEECFFGooHHGo", "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: AAooBCDDoBCooEECFFGooHHGo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv1,A>3\n"]}} {"board": "oBoooCBoDECoFDEAAFoEooooo", "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: oBoooCBoDECoFDEAAFoEooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,F^1,A>3\n"]}} {"board": "BooCoBooCooDEoFoDEGFAAEGo", "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: BooCoBooCooDEoFoDEGFAAEGo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,G^1,A>3\n"]}} {"board": "ooAABoCCCBDDEEBFFoGGoHHHo", "size": 5, "moves": 3, "solution": ["G<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: ooAABoCCCBDDEEBFFoGGoHHHo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,Bv1,A>1\n"]}} {"board": "AAooBoCooBoCoDDoEFGGoEFHH", "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: AAooBoCooBoCoDDoEFGGoEFHH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv1,A>3\n"]}} {"board": "BCDEoBCDEooFFFooooGHAAoGH", "size": 5, "moves": 4, "solution": ["F<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: BCDEoBCDEooFFFooooGHAAoGH\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,G^1,H^1,A>3\n"]}} {"board": "ooooBCCCoBAADooEoDooEFFoo", "size": 5, "moves": 3, "solution": ["F>2", "Dv1", "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: ooooBCCCoBAADooEoDooEFFoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF>2,Dv1,A>3\n"]}} {"board": "ooAABCCDDBEooFFEooGGEoHHo", "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: ooAABCCDDBEooFFEooGGEoHHo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Bv1,A>1\n"]}} {"board": "ooBBBAAoCDEFFCDEGHCoEGHoo", "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: ooBBBAAoCDEFFCDEGHCoEGHoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Cv1,A>3\n"]}} {"board": "ooooooAAoBCDDEBCooEBCooFF", "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: ooooooAAoBCDDEBCooEBCooFF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Bv1,A>2\n"]}} {"board": "oAAoBoCooBoCoDEooFDEooFDo", "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: oAAoBoCooBoCoDEooFDEooFDo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,Bv1,A>2\n"]}} {"board": "AAoBoCCoBDoEFFDoEooooooGG", "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: AAoBoCCoBDoEFFDoEooooooGG\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,E<1,Bv1,A>3\n"]}} {"board": "BBBoCDoEFCDoEFCDooGoAAoGo", "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: BBBoCDoEFCDoEFCDooGoAAoGo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,G^1,A>3\n"]}} {"board": "ooAABCoooBCooDDEFGGHEFIIH", "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: ooAABCoooBCooDDEFGGHEFIIH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv1,A>1\n"]}} {"board": "BoCCCBoDoEFoDGEFoDGHFAAoH", "size": 5, "moves": 4, "solution": ["C<1", "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: BoCCCBoDoEFoDGEFoDGHFAAoH\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,E^1,H^1,A>2\n"]}} {"board": "oAABCDDoBCoEooCFEoGGFEHHH", "size": 5, "moves": 4, "solution": ["Bv1", "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: oAABCDDoBCoEooCFEoGGFEHHH\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,G<1,Bv1,A>2\n"]}} {"board": "BAAoCBoooCoDoEEoDoFGHHHFG", "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: BAAoCBoooCoDoEEoDoFGHHHFG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Cv1,A>2\n"]}} {"board": "ooAABCDooBCDEEBFDoGGFoooo", "size": 5, "moves": 3, "solution": ["G<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: ooAABCDooBCDEEBFDoGGFoooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,Bv1,A>1\n"]}} {"board": "AAooBoooCBDooCBDoEEEDooFF", "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: AAooBoooCBDooCBDoEEEDooFF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv1,A>3\n"]}} {"board": "BooooBoCoDBoCEDooCEFoAAoF", "size": 5, "moves": 3, "solution": ["D^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: BooooBoCoDBoCEDooCEFoAAoF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,F^1,A>2\n"]}} {"board": "AAooBoooCBoDDCBoooEEooFFo", "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: AAooBoooCBoDDCBoooEEooFFo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv1,A>3\n"]}} {"board": "BooooBAACoDEECFDoGGFoooHH", "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: BooooBAACoDEECFDoGGFoooHH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,Cv1,A>2\n"]}} {"board": "oBBBoAAoCoooDCEFoDCEFoGGE", "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: oBBBoAAoCoooDCEFoDCEFoGGE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,Cv1,A>3\n"]}} {"board": "oooBoAAoBCooDBCEEDooooFFo", "size": 5, "moves": 4, "solution": ["Cv1", "F<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: oooBoAAoBCooDBCEEDooooFFo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,F<1,Bv2,A>3\n"]}} {"board": "oBBBoCDEEECDAAFGGooFHHoII", "size": 5, "moves": 3, "solution": ["I<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: oBBBoCDEEECDAAFGGooFHHoII\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nI<1,Fv1,A>1\n"]}} {"board": "BoCCCBDooEoDFGEAAFGoHHIII", "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: BoCCCBDooEoDFGEAAFGoHHIII\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,G^1,A>3\n"]}} {"board": "oAABCDooBCDooooDEFFFoEooo", "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: oAABCDooBCDooooDEFFFoEooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>2\n"]}} {"board": "oBooooBoooooCooAACDEFFFDE", "size": 5, "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 (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oBooooBoooooCooAACDEFFFDE\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^2,E^2,A>3\n"]}} {"board": "AAooBCCDDBEEooFGHIJFGHIJo", "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: AAooBCCDDBEEooFGHIJFGHIJo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nFv1,Bv1,A>3\n"]}} {"board": "oAAoBooCCBDooEEDFFFGHHHoG", "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: oAAoBooCCBDooEEDFFFGHHHoG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv1,A>2\n"]}} {"board": "BoCCCBAAoDBoooDoEEFFoooGG", "size": 5, "moves": 4, "solution": ["E<1", "F<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: BoCCCBAAoDBoooDoEEFFoooGG\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,F<1,Dv1,A>2\n"]}} {"board": "BAAoCBDDoCEoFFFEoGGoooHHo", "size": 5, "moves": 3, "solution": ["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: BAAoCBDDoCEoFFFEoGGoooHHo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Cv1,A>2\n"]}} {"board": "BBBooCoDDDCEAAFGEHHFGIIJJ", "size": 5, "moves": 3, "solution": ["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: BBBooCoDDDCEAAFGEHHFGIIJJ\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,F^2,A>1\n"]}} {"board": "AABooooBoCoDDoCEEFoCooFGG", "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: AABooooBoCoDDoCEEFoCooFGG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv1,A>3\n"]}} {"board": "oAABCoooBCDoEEoDFFFoDoGGo", "size": 5, "moves": 4, "solution": ["Cv1", "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: oAABCoooBCDoEEoDFFFoDoGGo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,E<1,Bv1,A>2\n"]}} {"board": "ooooBoCAABoCDDooEEFFoGGGo", "size": 5, "moves": 4, "solution": ["E<1", "F<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: ooooBoCAABoCDDooEEFFoGGGo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,F<1,Bv2,A>1\n"]}} {"board": "BoAACBDDoCEooFFEGGHHooIIo", "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: BoAACBDDoCEooFFEGGHHooIIo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Cv1,A>1\n"]}} {"board": "BCooDBCAADoCooDoEEoooFFGG", "size": 5, "moves": 4, "solution": ["F<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: BCooDBCAADoCooDoEEoooFFGG\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,G<1,Dv2,A>1\n"]}} {"board": "BBBoooCAADoCoEDFooEDFoGGG", "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: BBBoooCAADoCoEDFooEDFoGGG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,Dv1,A>1\n"]}} {"board": "AAoBoCDDBoCooEEFooooFGGoo", "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: AAoBoCDDBoCooEEFooooFGGoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<2,Bv1,A>3\n"]}} {"board": "ooooooBCCCoBDEFooDEFoAAEo", "size": 5, "moves": 4, "solution": ["Bv1", "B<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: ooooooBCCCoBDEFooDEFoAAEo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,B<2,E^1,A>2\n"]}} {"board": "oAAoBCCoDBEEEDFoGGoFHHHoo", "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: oAAoBCCoDBEEEDFoGGoFHHHoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nFv1,Bv1,A>2\n"]}} {"board": "ooBBBCooDoCAADoEoFFoEGGoo", "size": 5, "moves": 3, "solution": ["B<2", "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: ooBBBCooDoCAADoEoFFoEGGoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,D^1,A>2\n"]}} {"board": "ooAABCDEoBCDEFGoHoFGoHooo", "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: ooAABCDEoBCDEFGoHoFGoHooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nGv1,Bv1,A>1\n"]}} {"board": "BBBoCDAAoCDooECoFFEooooGG", "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: BBBoCDAAoCDooECoFFEooooGG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,Cv2,A>2\n"]}} {"board": "AAoBCoDoBCoDoECFFoEoGGooo", "size": 5, "moves": 4, "solution": ["Cv1", "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: AAoBCoDoBCoDoECFFoEoGGooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Ev1,Bv1,A>3\n"]}} {"board": "oAAoBoCooBDCoEEDCooFDGGGF", "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: oAAoBoCooBDCoEEDCooFDGGGF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv1,A>2\n"]}} {"board": "oAABoCCoBoooDDEFFFGEoHHGo", "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: oAABoCCoBoooDDEFFFGEoHHGo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv1,A>2\n"]}} {"board": "oAABoooCBDEFCBDEFGGoHHHII", "size": 5, "moves": 4, "solution": ["F^1", "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: oAABoooCBDEFCBDEFGGoHHHII\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,G<1,Bv1,A>2\n"]}} {"board": "BoAACBDDDCoEFGGHEFooHooII", "size": 5, "moves": 4, "solution": ["Fv1", "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: BoAACBDDDCoEFGGHEFooHooII\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nFv1,F<1,Cv1,A>1\n"]}} {"board": "BAACoBooCoBooDDEFFFGEoooG", "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: BAACoBooCoBooDDEFFFGEoooG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<2,Cv1,A>2\n"]}} {"board": "oAABoooCBoDECBoDEoFFooGGo", "size": 5, "moves": 4, "solution": ["E^1", "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: oAABoooCBoDECBoDEoFFooGGo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,F<2,Bv1,A>2\n"]}} {"board": "ooAABoooCBoDDCEooooEoooFF", "size": 5, "moves": 4, "solution": ["F<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: ooAABoooCBoDDCEooooEoooFF\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Ev1,Bv1,A>1\n"]}} {"board": "AAooBooCCBDDoEEooFFFoGGHH", "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: AAooBooCCBDDoEEooFFFoGGHH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv1,A>3\n"]}} {"board": "AAooBoCDoBoCDoEooFFEGGoHH", "size": 5, "moves": 4, "solution": ["H<1", "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: AAooBoCDoBoCDoEooFFEGGoHH\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nH<1,Ev1,Bv1,A>3\n"]}} {"board": "AAoBCooDBCooDoCEEoFFooooo", "size": 5, "moves": 4, "solution": ["Bv1", "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: AAoBCooDBCooDoCEEoFFooooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,F<1,Bv1,A>3\n"]}} {"board": "oBCDoEBCDFEBGHFEIGHJoIAAJ", "size": 5, "moves": 3, "solution": ["F^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: oBCDoEBCDFEBGHFEIGHJoIAAJ\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,J^1,A>1\n"]}} {"board": "oAAoBCDooBCDoEECDoFFoGGHH", "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: oAAoBCDooBCDoEECDoFFoGGHH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv1,A>2\n"]}} {"board": "BoCCCBDooEBDooEAAoFEoGGFo", "size": 5, "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 (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BoCCCBDooEBDooEAAoFEoGGFo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,E^1,F^2,A>3\n"]}} {"board": "BAACoBooCooDDDEFoGHEFoGHE", "size": 5, "moves": 3, "solution": ["D<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: BAACoBooCooDDDEFoGHEFoGHE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Cv1,A>2\n"]}} {"board": "AABCDEFBCDEFoCoEFGooooGHH", "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: AABCDEFBCDEFoCoEFGooooGHH\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,Bv1,A>3\n"]}} {"board": "AABooCCBDEooBDEoFFDoGGooo", "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: AABooCCBDEooBDEoFFDoGGooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Bv1,A>3\n"]}} {"board": "oAABooCDBoECDBFEoGGFHHooo", "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: oAABooCDBoECDBFEoGGFHHooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,Bv1,A>2\n"]}} {"board": "AAooBoCCCBoDDEEooFFFGGGoo", "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: AAooBoCCCBoDDEEooFFFGGGoo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,E<1,Bv1,A>3\n"]}} {"board": "ooAABCCDoBoEDoFGEDoFGEoHH", "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: ooAABCCDoBoEDoFGEDoFGEoHH\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nH<1,Fv1,Bv1,A>1\n"]}} {"board": "AABCDEoBCDEooooFGHHoFGIII", "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: AABCDEoBCDEooooFGHHoFGIII\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,Bv1,A>3\n"]}} {"board": "AABoCooBDCoEEDoooFFFGGHHH", "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: AABoCooBDCoEEDoooFFFGGHHH\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,E<1,Bv1,A>3\n"]}} {"board": "AAoBCoDDBCEEEoFooGGFooHHH", "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: AAoBCoDDBCEEEoFooGGFooHHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,H<1,Fv1,Bv1,A>3\n"]}} {"board": "BAACDBooCDEFoCDEFoGGoooHH", "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: BAACDBooCDEFoCDEFoGGoooHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,G<2,Cv1,Cv1,A>2\n"]}} {"board": "AABoCDDBoCooBoEFoooEFooGG", "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: AABoCDDBoCooBoEFoooEFooGG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,G<1,Ev1,Bv1,A>3\n"]}} {"board": "BAACDBEECDFFooDooGHHooGII", "size": 5, "moves": 9, "solution": ["Cv1", "F>1", "Bv3", "C<1", "E<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: BAACDBEECDFFooDooGHHooGII\nOptimal length (moves): 9\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,F>1,Bv3,C<1,E<1,G^2,H<1,Bv1,A>2\n"]}} {"board": "BAAoCBDEECoDFGGooFoHooIIH", "size": 5, "moves": 5, "solution": ["I<2", "Fv1", "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: BAAoCBDEECoDFGGooFoHooIIH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nI<2,Fv1,F<1,Cv1,A>2\n"]}} {"board": "BBBooCDDDoCEEEFoooGFAAoGF", "size": 5, "moves": 6, "solution": ["B>1", "C^1", "E<1", "F^1", "G^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: BBBooCDDDoCEEEFoooGFAAoGF\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nB>1,C^1,E<1,F^1,G^1,A>3\n"]}} {"board": "oBCCCDBoooDAAEoFooEGFHHHG", "size": 5, "moves": 5, "solution": ["D^1", "F^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: oBCCCDBoooDAAEoFooEGFHHHG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,F^1,H<1,Fv1,A>2\n"]}} {"board": "AABCoooBCDEFFGDEHHGooIIoo", "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: AABCoooBCDEFFGDEHHGooIIoo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,E<1,Bv1,Fv1,Bv1,A>3\n"]}} {"board": "BBBoCDAAoCDEooooEFFFGGHHH", "size": 5, "moves": 5, "solution": ["A>1", "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: BBBoCDAAoCDEooooEFFFGGHHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,E^1,F<1,Cv2,A>1\n"]}} {"board": "AAoBCDDoBCooEBCFoEGGFHHoo", "size": 5, "moves": 5, "solution": ["E^1", "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: AAoBCDDoBCooEBCFoEGGFHHoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,G<2,Bv1,Bv1,A>3\n"]}} {"board": "AAoBCDEoBCDEFoGHHFoGooIII", "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: AAoBCDEoBCDEFoGHHFoGooIII\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,I<1,Gv1,Bv1,A>3\n"]}} {"board": "BoAACBDDoCEoFGGEoFHHoIIoo", "size": 5, "moves": 5, "solution": ["I<1", "Fv1", "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: BoAACBDDoCEoFGGEoFHHoIIoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nI<1,Fv1,F<1,Cv1,A>1\n"]}} {"board": "ooAABoCDoBoCDEEFGGooFHHII", "size": 5, "moves": 7, "solution": ["F^1", "G>2", "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: ooAABoCDoBoCDEEFGGooFHHII\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,G>2,H<1,Dv2,E<1,Bv1,A>1\n"]}} {"board": "BAACoBDoCooDEEoFGGoHFoooH", "size": 5, "moves": 5, "solution": ["G>1", "Dv2", "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: BAACoBDoCooDEEoFGGoHFoooH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nG>1,Dv2,D<1,Cv1,A>2\n"]}} {"board": "oBAACoBooCooDEEFFDGGoHHoo", "size": 5, "moves": 5, "solution": ["H<1", "Dv1", "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: oBAACoBooCooDEEFFDGGoHHoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nH<1,Dv1,D<1,Cv1,A>1\n"]}} {"board": "oBAACoBooCDEEFGDoHFGooHII", "size": 5, "moves": 7, "solution": ["D^2", "E<1", "H^1", "I<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: oBAACoBooCDEEFGDoHFGooHII\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,E<1,H^1,I<1,Hv1,Dv1,A>1\n"]}} {"board": "ooooBoAAoBoCDDDECoooEFFGG", "size": 5, "moves": 5, "solution": ["A>1", "C^2", "D<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: ooooBoAAoBoCDDDECoooEFFGG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,C^2,D<1,Cv2,A>1\n"]}} {"board": "AABCDooBCDoEEooooooFGGHHF", "size": 5, "moves": 5, "solution": ["Cv1", "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: AABCDooBCDoEEooooooFGGHHF\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Cv1,E<1,Bv1,A>3\n"]}} {"board": "AABCoooBCDEoBoDEFFoGHHooG", "size": 5, "moves": 5, "solution": ["Cv1", "E^1", "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: AABCoooBCDEoBoDEFFoGHHooG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,E^1,F<1,Bv1,A>3\n"]}} {"board": "BBBCoooDCEAADFEGGoFHooIIH", "size": 5, "moves": 5, "solution": ["E^1", "I<2", "Ev2", "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: BBBCoooDCEAADFEGGoFHooIIH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,I<2,Ev2,Ev1,A>3\n"]}} {"board": "BAACDBEFCDBEFCGoHHHGoooII", "size": 5, "moves": 6, "solution": ["H<1", "Cv1", "I<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: BAACDBEFCDBEFCGoHHHGoooII\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nH<1,Cv1,I<1,Gv1,Cv1,A>2\n"]}} {"board": "oAABCDDDBCooEFoooEFGooHHG", "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: oAABCDDDBCooEFoooEFGooHHG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,H<1,Fv1,Bv1,A>2\n"]}} {"board": "BAACDBoECDFGEHIFGoHIFGJJo", "size": 5, "moves": 7, "solution": ["G^1", "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: BAACDBoECDFGEHIFGoHIFGJJo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nG^1,Iv1,Dv1,J<1,Hv1,Cv1,A>2\n"]}} {"board": "AABCDooBCDoEEoFGHIJFGHIJo", "size": 5, "moves": 6, "solution": ["Cv1", "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: AABCDooBCDoEEoFGHIJFGHIJo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,E<1,Bv1,Fv1,Bv1,A>3\n"]}} {"board": "AABCDEEBCDFFBoooGGHHIIJJJ", "size": 5, "moves": 5, "solution": ["Cv1", "Cv1", "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: AABCDEEBCDFFBoooGGHHIIJJJ\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Cv1,G<1,Bv1,A>3\n"]}} {"board": "BBBoooCCCDoEFGDoEFGHAAoGH", "size": 5, "moves": 5, "solution": ["C<1", "D^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: BBBoooCCCDoEFGDoEFGHAAoGH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,D^1,G^1,H^1,A>3\n"]}} {"board": "AABCoDDBCooEECoFooGGFoooo", "size": 5, "moves": 5, "solution": ["E<1", "Bv1", "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: AABCoDDBCooEECoFooGGFoooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv1,G<2,Bv1,A>3\n"]}} {"board": "oAABCDoEBCDoEFFDooGGooHHo", "size": 5, "moves": 6, "solution": ["H<2", "Ev2", "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: oAABCDoEBCDoEFFDooGGooHHo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nH<2,Ev2,E<2,Bv1,Bv1,A>2\n"]}} {"board": "AABCDEEBCDooFFDGGoooHHIII", "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: AABCDEEBCDooFFDGGoooHHIII\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,F<2,Bv1,Bv1,A>3\n"]}} {"board": "AAoBCoooBCDDoBEooFFEGGGoo", "size": 5, "moves": 5, "solution": ["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: AAoBCoooBCDDoBEooFFEGGGoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,Cv1,E<1,Bv1,A>3\n"]}} {"board": "ooBBBAAoCDEEECDoFFFDGGoHH", "size": 5, "moves": 5, "solution": ["F<1", "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: ooBBBAAoCDEEECDoFFFDGGoHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Cv1,H<1,Cv1,A>3\n"]}} {"board": "BAAoCBoooCBoDoEFFDoEoGGHH", "size": 5, "moves": 5, "solution": ["G<1", "H<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: BAAoCBoooCBoDoEFFDoEoGGHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,H<1,Ev1,Cv1,A>2\n"]}} {"board": "oBCCCoBooDoAAoDEFGGGEFoHH", "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: oBCCCoBooDoAAoDEFGGGEFoHH\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": "BAACDBoECDBoEFGoHIFGoHIoo", "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: BAACDBoECDBoEFGoHIFGoHIoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nFv1,Cv1,Fv1,Cv1,A>2\n"]}} {"board": "AAoBCoDDBCEEoFGHHIFGooIJJ", "size": 5, "moves": 7, "solution": ["I^1", "J<2", "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: AAoBCoDDBCEEoFGHHIFGooIJJ\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nI^1,J<2,Gv1,Bv1,Gv1,Bv1,A>3\n"]}} {"board": "AABCoDDBCoEoFFGEHHIGoooIo", "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: AABCoDDBCoEoFFGEHHIGoooIo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,E<2,Bv1,Bv1,A>3\n"]}} {"board": "oAABCDEFBCDEFBGDoHHGIIoJJ", "size": 5, "moves": 6, "solution": ["H<1", "Bv1", "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: oAABCDEFBCDEFBGDoHHGIIoJJ\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nH<1,Bv1,J<1,Gv1,Bv1,A>2\n"]}} {"board": "BCCCDBAAoDEEoooFGHHHFGoII", "size": 5, "moves": 6, "solution": ["A>1", "E>2", "G^2", "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: BCCCDBAAoDEEoooFGHHHFGoII\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,E>2,G^2,H<1,Dv2,A>1\n"]}} {"board": "oAABCDEoBCDEoFFDoGGGHHHoo", "size": 5, "moves": 6, "solution": ["H>2", "Ev2", "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: oAABCDEoBCDEoFFDoGGGHHHoo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nH>2,Ev2,E<2,Bv1,Bv1,A>2\n"]}} {"board": "AAoBoCooBoCoDDDEFFooEGGGo", "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: AAoBoCooBoCoDDDEFFooEGGGo\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": "AABCDooBCDEooCoEoFFoooooo", "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: AABCDooBCDEooCoEoFFoooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Cv1,F<1,Bv1,A>3\n"]}} {"board": "AAoBooooBoCDEFoCDEFGCDHHG", "size": 5, "moves": 5, "solution": ["D^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: AAoBooooBoCDEFoCDEFGCDHHG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,H<1,Fv1,Bv1,A>3\n"]}} {"board": "ooBBBCAAoDCEFFDGEHHDGIIJJ", "size": 5, "moves": 6, "solution": ["C^1", "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: ooBBBCAAoDCEFFDGEHHDGIIJJ\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,G^1,I<1,J<1,Dv1,A>2\n"]}} {"board": "oooBCoooBCAAoDEFooDEFGGGo", "size": 5, "moves": 6, "solution": ["A>1", "Ev1", "E^1", "G<1", "Ev1", "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: oooBCoooBCAAoDEFooDEFGGGo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,Ev1,E^1,G<1,Ev1,A>2\n"]}} {"board": "BoCooBoCDEBFGDEoFGHIAAoHI", "size": 5, "moves": 5, "solution": ["D^1", "E^1", "H^1", "I^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: BoCooBoCDEBFGDEoFGHIAAoHI\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E^1,H^1,I^1,A>3\n"]}} {"board": "AABCDooBCDEoBCoEFGGooFHHo", "size": 5, "moves": 7, "solution": ["Dv1", "E^1", "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: AABCDooBCDEoBCoEFGGooFHHo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,E^1,F^2,G<2,Bv1,Bv1,A>3\n"]}} {"board": "AABoCDDBoCEoFFCEooooooGGG", "size": 5, "moves": 5, "solution": ["Cv1", "Ev1", "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: AABoCDDBoCEoFFCEooooooGGG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Ev1,E<2,Bv1,A>3\n"]}} {"board": "AAooBoCDoBoCDEEFFoGGoHHII", "size": 5, "moves": 5, "solution": ["H<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: AAooBoCDoBoCDEEFFoGGoHHII\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nH<1,Dv2,D<1,Bv1,A>3\n"]}} {"board": "AAoBCDoEBCDoEBCDoFFFGGooo", "size": 5, "moves": 6, "solution": ["A>1", "D^1", "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: AAoBCDoEBCDoEBCDoFFFGGooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,D^1,F<2,Cv1,Cv1,A>2\n"]}} {"board": "BooooBoCoDoECFDoEGFHAAGFH", "size": 5, "moves": 6, "solution": ["C^1", "D^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: BooooBoCoDoECFDoEGFHAAGFH\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^1,F^1,G^1,H^1,A>3\n"]}} {"board": "AAoBCDDoBCEFGGoEFHHHooIII", "size": 5, "moves": 5, "solution": ["Cv1", "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: AAoBCDDoBCEFGGoEFHHHooIII\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Fv1,F<1,Bv1,A>3\n"]}} {"board": "oAABooooBCDEoFCDEoFCDoGGG", "size": 5, "moves": 5, "solution": ["D^1", "G<2", "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: oAABooooBCDEoFCDEoFCDoGGG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,G<2,Fv1,Bv1,A>2\n"]}} {"board": "BooooBCDDDBCooEAAooEFFooE", "size": 5, "moves": 5, "solution": ["A>2", "Cv1", "C<1", "E^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: BooooBCDDDBCooEAAooEFFooE\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,Cv1,C<1,E^2,A>1\n"]}} {"board": "BAACDBEFCDBEFGHIIFGHJJooo", "size": 5, "moves": 5, "solution": ["Gv1", "Cv1", "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: BAACDBEFCDBEFGHIIFGHJJooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nGv1,Cv1,Gv1,Cv1,A>2\n"]}} {"board": "AAoBCoDEBCoDEBFoDooFGGoHH", "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: AAoBCoDEBCoDEBFoDooFGGoHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,H<1,Fv1,Bv1,A>3\n"]}} {"board": "oAABCDDEBCooEoCooEFFGGHHH", "size": 5, "moves": 7, "solution": ["A<1", "Bv1", "D^1", "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: oAABCDDEBCooEoCooEFFGGHHH\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<1,Bv1,D^1,F<3,Bv1,Bv1,A>3\n"]}} {"board": "BCCCoBDDDoBooEFoooEFAAoEF", "size": 5, "moves": 6, "solution": ["F^1", "A>1", "Bv2", "C<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: BCCCoBDDDoBooEFoooEFAAoEF\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,A>1,Bv2,C<1,F^1,A>2\n"]}} {"board": "BAAoCBDDECFooEGFHoEGoHIII", "size": 5, "moves": 5, "solution": ["H^1", "I<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: BAAoCBDDECFooEGFHoEGoHIII\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nH^1,I<1,Hv1,Cv1,A>2\n"]}} {"board": "BooooBCDEFoCDEFoCGHoAAGHo", "size": 5, "moves": 5, "solution": ["D^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: BooooBCDEFoCDEFoCGHoAAGHo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E^1,G^1,H^1,A>3\n"]}} {"board": "oBAACoBDoCEBDoCEFFGGoooHH", "size": 5, "moves": 5, "solution": ["E^1", "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: oBAACoBDoCEBDoCEFFGGoooHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,F<1,G<1,Cv1,A>1\n"]}} {"board": "AAooBoCDDBoCEEEFFFooGGoHH", "size": 5, "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 (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAooBoCDDBoCEEEFFFooGGoHH\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": "oooBCAADBCooDooooDoooEEFF", "size": 5, "moves": 5, "solution": ["Bv2", "Bv2", "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: oooBCAADBCooDooooDoooEEFF\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,Bv2,E<1,Bv1,A>3\n"]}} {"board": "ooAABCoDoBCoDEEFFFooGGoHH", "size": 5, "moves": 8, "solution": ["A<2", "D^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: ooAABCoDoBCoDEEFFFooGGoHH\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<2,D^1,E<1,H<1,Cv3,D>1,Bv1,A>3\n"]}} {"board": "oBBBCoAAoCDEEFFDGGGooHHoo", "size": 5, "moves": 5, "solution": ["D^2", "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: oBBBCoAAoCDEEFFDGGGooHHoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,E<1,F<1,Dv2,A>2\n"]}} {"board": "AAoBCDooBCDoEEFoGGGFoHHoo", "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: AAoBCDooBCDoEEFoGGGFoHHoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv1,Fv1,Bv1,A>3\n"]}} {"board": "AAoBCDDoBCEFFBCEoGGGEooHH", "size": 5, "moves": 7, "solution": ["A>1", "D>1", "E^2", "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: AAoBCDDoBCEFFBCEoGGGEooHH\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,D>1,E^2,G<2,Cv1,Cv1,A>2\n"]}} {"board": "AAoBCoDDBCoEFFCoEGooooGHH", "size": 5, "moves": 5, "solution": ["Cv1", "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: AAoBCoDDBCoEFFCoEGooooGHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Ev1,E<1,Bv1,A>3\n"]}} {"board": "AABCDEEBCDFoGHoFIGHoFIooo", "size": 5, "moves": 6, "solution": ["Dv1", "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: AABCDEEBCDFoGHoFIGHoFIooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,Gv1,Bv1,Gv1,Bv1,A>3\n"]}} {"board": "oAAoBCCooBoDooBEDFFFEDoGG", "size": 5, "moves": 6, "solution": ["A>1", "C>2", "D^2", "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: oAAoBCCooBoDooBEDFFFEDoGG\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,C>2,D^2,F<1,Cv1,A>1\n"]}} {"board": "oooBoAAoBoooCCoDEEEFDGGoF", "size": 5, "moves": 6, "solution": ["A>1", "C<1", "D^2", "E<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: oooBoAAoBoooCCoDEEEFDGGoF\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,C<1,D^2,E<1,Bv2,A>2\n"]}} {"board": "AAoBCDEoBCDEFGooEFGooooHH", "size": 5, "moves": 5, "solution": ["Cv1", "H<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: AAoBCDEoBCDEFGooEFGooooHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,H<2,Gv1,Bv1,A>3\n"]}} {"board": "AABCooDBCEFDGGEFoHoEooHoo", "size": 5, "moves": 6, "solution": ["Dv2", "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: AABCooDBCEFDGGEFoHoEooHoo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv2,Ev1,E<2,Bv1,Bv1,A>3\n"]}} {"board": "AABCoDoBCoDEECFGGooFoHHII", "size": 5, "moves": 6, "solution": ["Cv1", "G>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: AABCoDoBCoDEECFGGooFoHHII\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,G>1,Cv2,D<1,Bv1,A>3\n"]}} {"board": "AAoBCDooBCDEEECoFFooooGGo", "size": 5, "moves": 5, "solution": ["Cv1", "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: AAoBCDooBCDEEECoFFooooGGo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Cv2,D<1,Bv1,A>3\n"]}} {"board": "ooooBCAAoBCoDEECoDooooFFo", "size": 5, "moves": 5, "solution": ["F<2", "Dv1", "D<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: ooooBCAAoBCoDEECoDooooFFo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<2,Dv1,D<1,Bv2,A>2\n"]}} {"board": "AAoBCoDoBCoDooCEFGHHEFGoo", "size": 5, "moves": 5, "solution": ["Bv1", "G^2", "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: AAoBCoDoBCoDooCEFGHHEFGoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,G^2,H<1,Bv1,A>3\n"]}} {"board": "AABCoDDBCEFGHoEFGHIIFoJJo", "size": 5, "moves": 5, "solution": ["Cv1", "J>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: AABCoDDBCEFGHoEFGHIIFoJJo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,J>1,Hv1,Bv1,A>3\n"]}} {"board": "oooBCoDoBCoDAAEFoGoEFoGHH", "size": 5, "moves": 6, "solution": ["D^1", "A<2", "G^3", "H<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: oooBCoDoBCoDAAEFoGoEFoGHH\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A<2,G^3,H<1,Fv1,A>3\n"]}} {"board": "ooAABCooDBCEEDFGHHoFGIIJJ", "size": 5, "moves": 7, "solution": ["C^1", "G^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: ooAABCooDBCEEDFGHHoFGIIJJ\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,G^1,I<1,J<1,Gv1,Cv1,A>1\n"]}} {"board": "BAACDBoECDBFEGGHFoooHooII", "size": 5, "moves": 6, "solution": ["Ev2", "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: BAACDBoECDBFEGGHFoooHooII\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv2,Ev1,E<2,Cv1,Cv1,A>2\n"]}} {"board": "oooBoAAoBCDEEoCDoFFFDooGG", "size": 5, "moves": 6, "solution": ["A>1", "D^2", "F<2", "Cv2", "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: oooBoAAoBCDEEoCDoFFFDooGG\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,D^2,F<2,Cv2,Cv1,A>2\n"]}} {"board": "BCoooBCDoooEDoooEFGHAAFGH", "size": 5, "moves": 5, "solution": ["D^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: BCoooBCDoooEDoooEFGHAAFGH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,F^1,G^1,H^1,A>3\n"]}} {"board": "oAAoBooooBCDEFFCDEooCGGoo", "size": 5, "moves": 5, "solution": ["G>2", "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: oAAoBooooBCDEFFCDEooCGGoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nG>2,Ev1,E<1,Bv1,A>2\n"]}} {"board": "oAAoBooCoBDoCEEDFFooDoGGG", "size": 5, "moves": 8, "solution": ["A<1", "C^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: oAAoBooCoBDoCEEDFFooDoGGG\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<1,C^1,E<1,G<1,Cv3,D>1,Bv1,A>3\n"]}} {"board": "oBCCCDBoEoDoFEGDoFHGoAAHG", "size": 5, "moves": 6, "solution": ["Bv1", "B<2", "E^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: oBCCCDBoEoDoFEGDoFHGoAAHG\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,B<2,E^1,G^1,H^1,A>2\n"]}} {"board": "AAooBooooBCCoDEooFDEGGFHH", "size": 5, "moves": 5, "solution": ["F^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: AAooBooooBCCoDEooFDEGGFHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,H<1,Fv1,Bv1,A>3\n"]}} {"board": "AABoCDDBoCEFoGGEFoooooHHo", "size": 5, "moves": 5, "solution": ["G<1", "Cv3", "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: AABoCDDBoCEFoGGEFoooooHHo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,Cv3,F>1,Bv1,A>3\n"]}} {"board": "BBBCDAAECDFFECDGGoooooHHo", "size": 5, "moves": 5, "solution": ["Dv2", "Dv1", "H<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: BBBCDAAECDFFECDGGoooooHHo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv2,Dv1,H<1,Cv2,A>3\n"]}} {"board": "AABooCDBoECDFFECoGGGoHHoo", "size": 5, "moves": 5, "solution": ["G<1", "Ev2", "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: AABooCDBoECDFFECoGGGoHHoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,Ev2,E>1,Bv1,A>3\n"]}} {"board": "ooooBCAAoBCDDEEFooooFGGoo", "size": 5, "moves": 5, "solution": ["C^1", "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: ooooBCAAoBCDDEEFooooFGGoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D<1,E<1,Cv2,A>2\n"]}} {"board": "oAABCDooBCDoEFFDoEGHIIoGH", "size": 5, "moves": 5, "solution": ["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: oAABCDooBCDoEFFDoEGHIIoGH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,E<2,Bv1,Bv1,A>2\n"]}} {"board": "oAAoBCDooBCDEEECFFFoooGGo", "size": 5, "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 (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAAoBCDooBCDEEECFFFoooGGo\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": "AABoCoDBoCEDFFGEDoHGoIIHo", "size": 5, "moves": 7, "solution": ["Gv1", "F>1", "I<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: AABoCoDBoCEDFFGEDoHGoIIHo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nGv1,F>1,I<1,Bv3,E<1,Bv1,A>3\n"]}} {"board": "ooAABCDEoBCDEFFCGGHoIIIHo", "size": 5, "moves": 7, "solution": ["A<2", "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: ooAABCDEoBCDEFFCGGHoIIIHo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<2,E^1,F<1,Cv3,E>1,Bv1,A>3\n"]}} {"board": "BAACDBooCDBEoFFoEooGooooG", "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: BAACDBooCDBEoFFoEooGooooG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,E<2,Cv1,Cv1,A>2\n"]}} {"board": "BBBCDAAoCDoooEEooFFFGGGoo", "size": 5, "moves": 5, "solution": ["E<2", "F<2", "Cv2", "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: BBBCDAAoCDoooEEooFFFGGGoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<2,F<2,Cv2,Cv2,A>3\n"]}} {"board": "oooBooAABoCDEEoCDoooCFFFo", "size": 5, "moves": 5, "solution": ["F>1", "Dv1", "D<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: oooBooAABoCDEEoCDoooCFFFo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nF>1,Dv1,D<1,Bv2,A>2\n"]}} {"board": "BAACDBEECDooFGGHoFIIHJJoo", "size": 5, "moves": 6, "solution": ["J>2", "Fv1", "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: BAACDBEECDooFGGHoFIIHJJoo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nJ>2,Fv1,F<2,Cv1,Cv1,A>2\n"]}} {"board": "AABCDEEBCDFGHooFGHoIoJJoI", "size": 5, "moves": 6, "solution": ["Cv1", "Cv1", "J<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: AABCDEEBCDFGHooFGHoIoJJoI\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Cv1,J<1,Hv1,Bv1,A>3\n"]}} {"board": "oooBoAAoBoCDDBECoFFECoGGG", "size": 5, "moves": 6, "solution": ["A>1", "C^1", "F<1", "G<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: oooBoAAoBoCDDBECoFFECoGGG\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,C^1,F<1,G<2,Bv2,A>2\n"]}} {"board": "AAoBCDooBCDooBoDEFFooEGGo", "size": 5, "moves": 5, "solution": ["Cv1", "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: AAoBCDooBCDooBoDEFFooEGGo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,E^2,F<1,Bv1,A>3\n"]}} {"board": "AAoBooooBCooDECFGDECFGoHH", "size": 5, "moves": 5, "solution": ["G^1", "H<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: AAoBooooBCooDECFGDECFGoHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nG^1,H<2,Fv1,Bv1,A>3\n"]}} {"board": "AAoBooooBCDEFBCDEFGGDoooo", "size": 5, "moves": 5, "solution": ["E^1", "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: AAoBooooBCDEFBCDEFGGDoooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,F^1,G<2,Bv1,A>3\n"]}} {"board": "BoooCBAAoCDDDoCoEEFFGGoHH", "size": 5, "moves": 5, "solution": ["E<1", "F<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: BoooCBAAoCDDDoCoEEFFGGoHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,F<1,H<1,Cv2,A>2\n"]}} {"board": "oBCCCoBooDEBoFDEAAFDGGHHH", "size": 5, "moves": 6, "solution": ["F^1", "A>1", "Bv1", "B<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: oBCCCoBooDEBoFDEAAFDGGHHH\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,A>1,Bv1,B<1,E^1,A>1\n"]}} {"board": "AAooBooCoBDECFFDEGGHDoooH", "size": 5, "moves": 8, "solution": ["A>1", "D^2", "E^1", "G<2", "Ev2", "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: AAooBooCoBDECFFDEGGHDoooH\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,D^2,E^1,G<2,Ev2,E<1,Cv1,A>2\n"]}} {"board": "AABooCCBDoEFFDoEooGGHHooo", "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: AABooCCBDoEFFDoEooGGHHooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<2,Dv2,E>2,Bv1,A>3\n"]}} {"board": "oBBBoCDDDECooFEoooFGoAAFG", "size": 5, "moves": 6, "solution": ["Cv1", "C<1", "D^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: oBBBoCDDDECooFEoooFGoAAFG\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,C<1,D^1,F^1,G^1,A>2\n"]}} {"board": "oAAoBCCCoBDDEFFGHEIIGHJJo", "size": 5, "moves": 5, "solution": ["J>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: oAAoBCCCoBDDEFFGHEIIGHJJo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nJ>1,Ev1,E<1,Bv1,A>2\n"]}} {"board": "AABoCDDBoCEEoFFGoHIoGoHIo", "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: AABoCDDBoCEEoFFGoHIoGoHIo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Cv3,E>1,Bv1,A>3\n"]}} {"board": "AABoCDoBoCDEFFCoEoooGGooo", "size": 5, "moves": 7, "solution": ["Cv1", "G>2", "Cv2", "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: AABoCDoBoCDEFFCoEoooGGooo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,G>2,Cv2,Dv1,D<2,Bv1,A>3\n"]}} {"board": "BAACDBEFCDGEFCHGoooHGoIII", "size": 5, "moves": 5, "solution": ["Cv1", "I<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: BAACDBEFCDGEFCHGoooHGoIII\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,I<1,Hv1,Cv1,A>2\n"]}} {"board": "BCCCoBDEFoBDEFooDEGHoAAGH", "size": 5, "moves": 6, "solution": ["Bv1", "B<1", "F^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: BCCCoBDEFoBDEFooDEGHoAAGH\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,B<1,F^1,G^1,H^1,A>2\n"]}} {"board": "AAoBCDooBCDooBEoFFFEoGGGo", "size": 5, "moves": 5, "solution": ["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: AAoBCDooBCDooBEoFFFEoGGGo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,Cv1,E<1,Bv1,A>3\n"]}} {"board": "ooAABCCDDBoEooFoEGoFHHGII", "size": 5, "moves": 5, "solution": ["G^1", "I<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: ooAABCCDDBoEooFoEGoFHHGII\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nG^1,I<1,Gv1,Bv1,A>1\n"]}} {"board": "BAACDBEECDooFFDGooHHGIIoo", "size": 5, "moves": 5, "solution": ["F<1", "Cv1", "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: BAACDBEECDooFFDGooHHGIIoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Cv1,H<1,Cv1,A>2\n"]}} {"board": "AAoBoCoDBoCoDEEooooFoGGoF", "size": 5, "moves": 5, "solution": ["G<1", "Dv2", "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: AAoBoCoDBoCoDEEooooFoGGoF\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,Dv2,D<2,Bv1,A>3\n"]}} {"board": "ooooBoCCCBAADEoFoDEGFHHoG", "size": 5, "moves": 12, "solution": ["G^1", "H>2", "Dv1", "A>1", "F^3", "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: ooooBoCCCBAADEoFoDEGFHHoG\nOptimal length (moves): 12\nReturn only the and blocks.", "\nShortest path found.\n\n\nG^1,H>2,Dv1,A>1,F^3,A<1,G^1,H<3,Ev1,Ev1,Ev1,A>3\n"]}} {"board": "BCCCDBoooDBAAEoFFFEoGGHHH", "size": 5, "moves": 6, "solution": ["E^1", "F>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: BCCCDBoooDBAAEoFFFEoGGHHH\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,F>1,Bv1,B<1,E^1,A>2\n"]}} {"board": "oAABoCDDBoCoEFGHIEFGHIJJo", "size": 5, "moves": 5, "solution": ["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: oAABoCDDBoCoEFGHIEFGHIJJo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nI^1,J<1,Gv1,Bv1,A>2\n"]}} {"board": "AABoCDoBECDoBEFoGHHFoGIIo", "size": 5, "moves": 6, "solution": ["Fv1", "Cv1", "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: AABoCDoBECDoBEFoGHHFoGIIo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nFv1,Cv1,F^2,G<2,Bv1,A>3\n"]}} {"board": "AABooCCBDoEFFDoEoooGEoHHG", "size": 5, "moves": 5, "solution": ["H<1", "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: AABooCCBDoEFFDoEoooGEoHHG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nH<1,Dv2,E>2,Bv1,A>3\n"]}} {"board": "AABooCoBoDCEEoDCFGoooFGHH", "size": 5, "moves": 11, "solution": ["D^1", "E>2", "F^1", "G^1", "H<3", "Fv1", "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: AABooCoBoDCEEoDCFGoooFGHH\nOptimal length (moves): 11\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E>2,F^1,G^1,H<3,Fv1,F<1,Cv3,E>1,Bv1,A>3\n"]}} {"board": "AAooBoooCBDDECFGoEoFGoEHH", "size": 5, "moves": 5, "solution": ["E^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: AAooBoooCBDDECFGoEoFGoEHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,H<1,Fv1,Bv1,A>3\n"]}} {"board": "BCoDEBCoDEBAAoFoGHHFoGIII", "size": 5, "moves": 5, "solution": ["A>1", "G^1", "I<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: BCoDEBCoDEBAAoFoGHHFoGIII\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,G^1,I<1,Gv1,A>1\n"]}} {"board": "AABooCoBooCDDoEFGooEFGoHH", "size": 5, "moves": 5, "solution": ["H<1", "Ev1", "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: AABooCoBooCDDoEFGooEFGoHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nH<1,Ev1,D>2,Bv1,A>3\n"]}} {"board": "oAABoooCBoDoCEEDoFFGDHHHG", "size": 5, "moves": 10, "solution": ["A<1", "C^1", "D^1", "E<2", "F<1", "H<1", "Cv3", "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: oAABoooCBoDoCEEDoFFGDHHHG\nOptimal length (moves): 10\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<1,C^1,D^1,E<2,F<1,H<1,Cv3,D>2,Bv1,A>3\n"]}} {"board": "BCCCoBDDDooEEEooAAFGoHHFG", "size": 5, "moves": 6, "solution": ["Bv3", "C<1", "D<1", "F^2", "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: BCCCoBDDDooEEEooAAFGoHHFG\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv3,C<1,D<1,F^2,G^2,A>2\n"]}} {"board": "oBBBooCDDDECFGHEoFGHAAoGH", "size": 5, "moves": 5, "solution": ["Cv1", "C<2", "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: oBBBooCDDDECFGHEoFGHAAoGH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,C<2,G^1,H^1,A>3\n"]}} {"board": "ooBoCAABDCooBDCoEEoooFFoo", "size": 5, "moves": 6, "solution": ["Cv2", "Cv1", "E<1", "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: ooBoCAABDCooBDCoEEoooFFoo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,Cv1,E<1,F<1,Bv2,A>3\n"]}} {"board": "BCDDDBCoEFBoGEFAAGEFHHHoo", "size": 5, "moves": 8, "solution": ["Cv1", "G^1", "A>1", "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: BCDDDBCoEFBoGEFAAGEFHHHoo\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,G^1,A>1,Bv1,B<2,F^1,G^1,A>2\n"]}} {"board": "AABCoDoBCoDoBooDoEEFooGGF", "size": 5, "moves": 5, "solution": ["Cv1", "F^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: AABCoDoBCoDoBooDoEEFooGGF\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,F^2,F>1,Bv1,A>3\n"]}} {"board": "BBBoCooAACoooDDEFFGGEoHHH", "size": 5, "moves": 6, "solution": ["D<1", "E^2", "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: BBBoCooAACoooDDEFFGGEoHHH\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,E^2,F<1,G<1,Cv2,A>1\n"]}} {"board": "AABCoDEBCFDEGHFDoGHooooII", "size": 5, "moves": 6, "solution": ["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: AABCoDEBCFDEGHFDoGHooooII\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nI<3,Gv1,Bv1,Gv1,Bv1,A>3\n"]}} {"board": "AABoCDDBECoFGECoFGooooHHo", "size": 5, "moves": 5, "solution": ["Cv1", "H<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: AABoCDDBECoFGECoFGooooHHo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,H<2,Gv1,Bv1,A>3\n"]}} {"board": "oAABCDDDBCEFooGEFHHGooIII", "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: oAABCDDDBCEFooGEFHHGooIII\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,I<1,Gv1,Bv1,A>2\n"]}} {"board": "ooBooAABCooDBCoEDoCoEooFF", "size": 5, "moves": 5, "solution": ["E^1", "F<3", "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: ooBooAABCooDBCoEDoCoEooFF\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,F<3,Bv2,Bv1,A>3\n"]}} {"board": "AABCoDoBCoDoEEFDoGGFoHHII", "size": 5, "moves": 9, "solution": ["F^2", "F>1", "G>1", "H<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: AABCoDoBCoDoEEFDoGGFoHHII\nOptimal length (moves): 9\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^2,F>1,G>1,H<1,Bv3,E<2,Bv1,Bv1,A>3\n"]}} {"board": "BBBCDoAACDEEEoDoFFFoooGGG", "size": 5, "moves": 5, "solution": ["F<1", "Cv2", "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: BBBCDoAACDEEEoDoFFFoooGGG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Cv2,G<1,Cv2,A>2\n"]}} {"board": "AAooBoCDoBECDFFEGGooHHoII", "size": 5, "moves": 5, "solution": ["G>2", "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: AAooBoCDoBECDFFEGGooHHoII\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nG>2,Dv2,E<1,Bv1,A>3\n"]}} {"board": "AAoBCoDoBCEDoFCEooFoEoGGG", "size": 5, "moves": 6, "solution": ["Cv1", "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: AAoBCoDoBCEDoFCEooFoEoGGG\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,E^1,G<2,Fv1,Bv1,A>3\n"]}} {"board": "AAoBoCDDBECFFFEGGGoEHHHII", "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: AAoBoCDDBECFFFEGGGoEHHHII\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": "AAoBooCDBooCDEFGHHEFGoIII", "size": 5, "moves": 5, "solution": ["G^1", "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: AAoBooCDBooCDEFGHHEFGoIII\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nG^1,I<2,Fv1,Bv1,A>3\n"]}} {"board": "BAACDBEFCDBEFGHoooGHooIII", "size": 5, "moves": 6, "solution": ["I<2", "Gv1", "Cv1", "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: BAACDBEFCDBEFGHoooGHooIII\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nI<2,Gv1,Cv1,Gv1,Cv1,A>2\n"]}} {"board": "BCCCoBooooAAoDEFFFDEGGoHH", "size": 5, "moves": 6, "solution": ["A>1", "Bv1", "B<1", "D^2", "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: BCCCoBooooAAoDEFFFDEGGoHH\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,Bv1,B<1,D^2,E^2,A>2\n"]}} {"board": "oooooooBBBooCCCoAADEoooDE", "size": 5, "moves": 5, "solution": ["B<2", "C<2", "D^2", "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: oooooooBBBooCCCoAADEoooDE\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,C<2,D^2,E^2,A>2\n"]}} {"board": "ooooooAABCoooBCooDEEFFDGG", "size": 5, "moves": 7, "solution": ["A<1", "D^2", "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: ooooooAABCoooBCooDEEFFDGG\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<1,D^2,E<3,Bv1,Bv1,Bv1,A>3\n"]}} {"board": "oAABoCCDBoooDEEFGHoIFGHoI", "size": 5, "moves": 6, "solution": ["A<1", "D^1", "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: oAABoCCDBoooDEEFGHoIFGHoI\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<1,D^1,E<3,Bv1,Bv1,A>3\n"]}} {"board": "BBBCDEAACDEoooDEoooooFFGG", "size": 5, "moves": 5, "solution": ["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: BBBCDEAACDEoooDEoooooFFGG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,F<1,G<1,Cv2,A>2\n"]}} {"board": "oAABCDEEBCDooBFDGGGFooHHo", "size": 5, "moves": 6, "solution": ["D^1", "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: oAABCDEEBCDooBFDGGGFooHHo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,Fv1,Dv1,F<1,Cv1,A>2\n"]}} {"board": "oAAoBCoDDBCEEFFooGGoHHHoo", "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: oAAoBCoDDBCEEFFooGGoHHHoo\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": "BooooBoCCCoooDEAAoDEooFFE", "size": 5, "moves": 6, "solution": ["A>1", "Bv2", "B<2", "D^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: BooooBoCCCoooDEAAoDEooFFE\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,Bv2,B<2,D^1,E^2,A>2\n"]}} {"board": "oAABCDDoBCEoFFGEHIIGEHJJo", "size": 5, "moves": 5, "solution": ["F<1", "Bv1", "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: oAABCDDoBCEoFFGEHIIGEHJJo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Bv1,Gv1,Bv1,A>2\n"]}} {"board": "oAABCDooBCDoEEEoFFFooGGoo", "size": 5, "moves": 5, "solution": ["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: oAABCDooBCDoEEEoFFFooGGoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E<2,Cv1,Cv1,A>2\n"]}} {"board": "AABoCoDBoCEDooFEGGoFEoHHH", "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: AABoCoDBoCEDooFEGGoFEoHHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,H<1,Fv1,Bv1,A>3\n"]}} {"board": "AAoBooCDBoECDFFEGGooHHHoo", "size": 5, "moves": 9, "solution": ["D^1", "G>1", "H>2", "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: AAoBooCDBoECDFFEGGooHHHoo\nOptimal length (moves): 9\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,G>1,H>2,Dv2,Dv1,D<3,Bv1,Bv1,A>3\n"]}} {"board": "ooAABooooBooCDDooCEEooFFF", "size": 5, "moves": 6, "solution": ["A<2", "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: ooAABooooBooCDDooCEEooFFF\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<2,C^2,D<3,Bv1,Bv1,A>3\n"]}} {"board": "BCCCoBDoEoBDFEGoDFHGAAFHG", "size": 5, "moves": 7, "solution": ["Bv1", "B<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: BCCCoBDoEoBDFEGoDFHGAAFHG\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,B<1,E^1,F^1,G^1,H^1,A>3\n"]}} {"board": "BBBoCDEAACDEFFCDGGHHoIIJJ", "size": 5, "moves": 8, "solution": ["B>1", "D^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 (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BBBoCDEAACDEFFCDGGHHoIIJJ\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nB>1,D^1,G<1,H<1,I<1,J<1,Dv2,A>1\n"]}} {"board": "AAoBoCDDBoCEEEoFFFGGHHIII", "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: AAoBoCDDBoCEEEoFFFGGHHIII\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": "BoAACBDDDCEEoFGHHIFGooIJJ", "size": 5, "moves": 5, "solution": ["I^1", "J<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: BoAACBDDDCEEoFGHHIFGooIJJ\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nI^1,J<1,Hv1,Cv1,A>1\n"]}} {"board": "ooBBBoooCDAAECDFFEoooGGoo", "size": 5, "moves": 5, "solution": ["Cv2", "Cv2", "G<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: ooBBBoooCDAAECDFFEoooGGoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,Cv2,G<1,Cv1,A>3\n"]}} {"board": "BAACoBDDCEFoGHEFIGHEFIoJJ", "size": 5, "moves": 5, "solution": ["I^1", "J<2", "Iv1", "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: BAACoBDDCEFoGHEFIGHEFIoJJ\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nI^1,J<2,Iv1,Cv1,A>2\n"]}} {"board": "AAooBooCoBooCDDooEooFFEoo", "size": 5, "moves": 5, "solution": ["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: AAooBooCoBooCDDooEooFFEoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D<3,Bv1,Bv1,A>3\n"]}} {"board": "oAABCDDEBCFFEGooHHGIooJJI", "size": 5, "moves": 5, "solution": ["Cv1", "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: oAABCDDEBCFFEGooHHGIooJJI\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,J<1,Gv1,Bv1,A>2\n"]}} {"board": "AABCDooBCDooEooFoEGoFHHGo", "size": 5, "moves": 7, "solution": ["Cv1", "Cv1", "F^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: AABCDooBCDooEooFoEGoFHHGo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Cv1,F^1,H<1,Fv1,Bv1,A>3\n"]}} {"board": "oBBBoAAooCooDoCooDEEFFFGG", "size": 5, "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 (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oBBBoAAooCooDoCooDEEFFFGG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E<3,Cv1,Cv1,A>3\n"]}} {"board": "oAABoCDDBoCoEFGCHEFGoHIII", "size": 5, "moves": 5, "solution": ["H^1", "I<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: oAABoCDDBoCoEFGCHEFGoHIII\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nH^1,I<2,Gv1,Bv1,A>2\n"]}} {"board": "BCDDDBCEooooEFooAAFooooFo", "size": 5, "moves": 5, "solution": ["Bv1", "Bv1", "B<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: BCDDDBCEooooEFooAAFooooFo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,B<2,F^2,A>2\n"]}} {"board": "oBAACoBDoCooDoEooFoEooFGG", "size": 5, "moves": 10, "solution": ["Bv1", "A<2", "D^1", "F^1", "G<3", "Ev1", "Bv1", "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: oBAACoBDoCooDoEooFoEooFGG\nOptimal length (moves): 10\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A<2,D^1,F^1,G<3,Ev1,Bv1,Ev1,Bv1,A>3\n"]}} {"board": "BAAoCBoooCoDooEoDFFEoGGHH", "size": 5, "moves": 5, "solution": ["G<1", "H<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: BAAoCBoooCoDooEoDFFEoGGHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,H<1,Ev1,Cv1,A>2\n"]}} {"board": "AAoBooooBCDDEFCGGEFCooEHH", "size": 5, "moves": 5, "solution": ["E^1", "H<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: AAoBooooBCDDEFCGGEFCooEHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,H<2,Fv1,Bv1,A>3\n"]}} {"board": "AABCDooBCDEoooDEFoGGoFoHH", "size": 5, "moves": 5, "solution": ["Bv1", "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: AABCDooBCDEoooDEFoGGoFoHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,G<1,Bv1,A>3\n"]}} {"board": "BCCCoBooDoAAoDEoFFGEoHHGo", "size": 5, "moves": 6, "solution": ["A>1", "Bv1", "B<1", "D^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: BCCCoBooDoAAoDEoFFGEoHHGo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,Bv1,B<1,D^1,E^2,A>2\n"]}} {"board": "AABoCDoBoCDEFFooEGGGooHHH", "size": 5, "moves": 6, "solution": ["Cv1", "Cv2", "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: AABoCDoBoCDEFFooEGGGooHHH\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Cv2,Dv1,D<2,Bv1,A>3\n"]}} {"board": "AABCoDoBCoDEBCFoEGGFoHHoo", "size": 5, "moves": 5, "solution": ["E^1", "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: AABCoDoBCoDEBCFoEGGFoHHoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,G<2,Bv1,Bv1,A>3\n"]}} {"board": "BoAACBDEECFDGHHFoGoIoJJoI", "size": 5, "moves": 5, "solution": ["J<1", "Gv1", "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: BoAACBDEECFDGHHFoGoIoJJoI\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nJ<1,Gv1,G<1,Cv1,A>1\n"]}} {"board": "BoooCBDDDCAAoEFGooEFGoHHH", "size": 5, "moves": 6, "solution": ["A>1", "G^1", "H<2", "Fv1", "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: BoooCBDDDCAAoEFGooEFGoHHH\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,G^1,H<2,Fv1,Fv1,A>2\n"]}} {"board": "oAAoBoooCBoDDCEFFGoEooGHH", "size": 5, "moves": 6, "solution": ["D<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: oAAoBoooCBoDDCEFFGoEooGHH\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,G^1,H<1,Fv1,Bv1,A>2\n"]}} {"board": "BAACDBEFCDGEFoDGEHHHGIIIo", "size": 5, "moves": 6, "solution": ["Cv1", "A>1", "D^1", "H<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: BAACDBEFCDGEFoDGEHHHGIIIo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>1,D^1,H<1,Dv1,A>1\n"]}} {"board": "oBCCCoBDEFoBDEFooDEGAAooG", "size": 5, "moves": 5, "solution": ["Bv1", "B<1", "F^1", "G^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: oBCCCoBDEFoBDEFooDEGAAooG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,B<1,F^1,G^1,A>3\n"]}} {"board": "BAACoBoDCoEFDGGEFHHIoJJoI", "size": 5, "moves": 15, "solution": ["Ev1", "Bv1", "A<1", "D^1", "F<1", "I^3", "G>1", "I>1", "J>2", "Bv3", "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: BAACoBoDCoEFDGGEFHHIoJJoI\nOptimal length (moves): 15\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,Bv1,A<1,D^1,F<1,I^3,G>1,I>1,J>2,Bv3,Ev1,E<2,Bv1,Bv1,A>3\n"]}} {"board": "BoAACBoooCooDEEooDFFooGGG", "size": 5, "moves": 7, "solution": ["Bv3", "A<2", "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: BoAACBoooCooDEEooDFFooGGG\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv3,A<2,C^2,D<3,Bv1,Bv1,A>3\n"]}} {"board": "AABoCooBDCEEoDFGHHoFGoIII", "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: AABoCooBDCEEoDFGHHoFGoIII\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,I<1,Fv1,Bv1,A>3\n"]}} {"board": "oAABoCDoBoCDEEEoooFFooGGG", "size": 5, "moves": 5, "solution": ["C^1", "Dv2", "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: oAABoCDoBoCDEEEoooFFooGGG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,Dv2,D<2,Cv1,A>2\n"]}} {"board": "ooAABoCCoBDDDoEoFFoEoGGHH", "size": 5, "moves": 5, "solution": ["G<1", "H<1", "Ev1", "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: ooAABoCCoBDDDoEoFFoEoGGHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,H<1,Ev1,Bv1,A>1\n"]}} {"board": "AABoCDoBECDFFEoDGGHooIIHo", "size": 5, "moves": 12, "solution": ["Cv3", "D^1", "E>2", "Bv1", "A>1", "C^1", "F<1", "I<1", "Dv2", "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: AABoCDoBECDFFEoDGGHooIIHo\nOptimal length (moves): 12\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv3,D^1,E>2,Bv1,A>1,C^1,F<1,I<1,Dv2,D<2,Cv1,A>2\n"]}} {"board": "ooAABCCCoBoDEFGHDEFGHIIJJ", "size": 5, "moves": 6, "solution": ["H^1", "I<1", "J<1", "Hv1", "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: ooAABCCCoBoDEFGHDEFGHIIJJ\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nH^1,I<1,J<1,Hv1,Bv1,A>1\n"]}} {"board": "BAACDBEECDFoGGGFoHHIJJooI", "size": 5, "moves": 6, "solution": ["J>1", "Fv1", "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: BAACDBEECDFoGGGFoHHIJJooI\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nJ>1,Fv1,F<2,Cv1,Cv1,A>2\n"]}} {"board": "oAAoBCCCoBDEFGGDEFHHoEIIo", "size": 5, "moves": 5, "solution": ["I>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: oAAoBCCCoBDEFGGDEFHHoEIIo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nI>1,Fv1,F<1,Bv1,A>2\n"]}} {"board": "oAABCDDoBCooooEooooEooFFF", "size": 5, "moves": 5, "solution": ["Bv1", "F<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: oAABCDDoBCooooEooooEooFFF\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,F<1,Ev1,Bv1,A>2\n"]}} {"board": "oAABCDDEBCooEFGoooFGoHHoo", "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: oAABCDDEBCooEFGoooFGoHHoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nFv1,Bv1,Fv1,Bv1,A>2\n"]}} {"board": "BCCCoBDoEFoDGEFoDGHooAAHo", "size": 5, "moves": 5, "solution": ["Bv1", "B<1", "E^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: BCCCoBDoEFoDGEFoDGHooAAHo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,B<1,E^1,H^1,A>2\n"]}} {"board": "oBBBooAACDEFFCDEGGGDooHHo", "size": 5, "moves": 5, "solution": ["Dv1", "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: oBBBooAACDEFFCDEGGGDooHHo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,D^1,G<1,Dv1,A>2\n"]}} {"board": "oBBBCoAAoCDEEoCDFFGGoHHII", "size": 5, "moves": 7, "solution": ["D^1", "F<1", "G<1", "H<1", "I<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: oBBBCoAAoCDEEoCDFFGGoHHII\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,F<1,G<1,H<1,I<1,Cv2,A>2\n"]}} {"board": "AABoCDoBECDooEFDooEFoGGHH", "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: AABoCDoBECDooEFDooEFoGGHH\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": "oAABoCCoBoDEFFFDEGGHooooH", "size": 5, "moves": 5, "solution": ["Dv1", "Dv1", "D<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: oAABoCCoBoDEFFFDEGGHooooH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,Dv1,D<2,Bv1,A>2\n"]}} {"board": "AABCoooBCooDDCoooEEFoGGGF", "size": 5, "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 (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AABCoooBCooDDCoooEEFoGGGF\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv1,E<1,Bv1,A>3\n"]}} {"board": "oAAoBoCCCBDoEEBDFFGGHHHII", "size": 5, "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 (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAAoBoCCCBDoEEBDFFGGHHHII\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": "BoAACBooDCEEFDGoHFDGoHFII", "size": 5, "moves": 5, "solution": ["F^1", "I<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: BoAACBooDCEEFDGoHFDGoHFII\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,I<1,Gv1,Cv1,A>1\n"]}} {"board": "AABoCooBoCDEEoCDFFFoooGGo", "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: AABoCooBoCDEEoCDFFFoooGGo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Dv1,D<1,Bv1,A>3\n"]}} {"board": "oBBBoooCCCoDDDooAAEFGGoEF", "size": 5, "moves": 5, "solution": ["C<2", "D<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: oBBBoooCCCoDDDooAAEFGGoEF\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,D<1,E^2,F^2,A>2\n"]}} {"board": "AAoBCDDEBCooEFFGHHHoGoIIo", "size": 5, "moves": 6, "solution": ["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: AAoBCDDEBCooEFFGHHHoGoIIo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,F<3,Bv1,Bv1,Bv1,A>3\n"]}} {"board": "AABoCDDBoCoEEFFGGoHHIIoJJ", "size": 5, "moves": 5, "solution": ["E<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: AABoCDDBoCoEEFFGGoHHIIoJJ\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv3,E<1,Bv1,A>3\n"]}} {"board": "oAABoCooBDCoEFDGGEFoooEHH", "size": 5, "moves": 5, "solution": ["E^1", "H<2", "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: oAABoCooBDCoEFDGGEFoooEHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,H<2,Fv1,Bv1,A>2\n"]}} {"board": "oBBBCoDDDCEFFFoEAAGoHHoGo", "size": 5, "moves": 6, "solution": ["D<1", "H>1", "Ev1", "E<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: oBBBCoDDDCEFFFoEAAGoHHoGo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,H>1,Ev1,E<1,G^2,A>2\n"]}} {"board": "oAABCoooBCDooBEDoooEFFoGG", "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: oAABCoooBCDooBEDoooEFFoGG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,G<1,Ev1,Bv1,A>2\n"]}} {"board": "oooooAABCDooBCDEEoCooooFF", "size": 5, "moves": 5, "solution": ["Bv1", "Cv1", "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: oooooAABCDooBCDEEoCooooFF\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Cv1,F<2,Bv1,A>3\n"]}} {"board": "BCAADBCooDEFFGGEoHHoooooo", "size": 5, "moves": 5, "solution": ["Ev1", "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: BCAADBCooDEFFGGEoHHoooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,E<1,F<1,Dv1,A>1\n"]}} {"board": "BAACoBooCoBDoCooDEFFGGEoo", "size": 5, "moves": 5, "solution": ["D^1", "E^2", "F<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: BAACoBooCoBDoCooDEFFGGEoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E^2,F<2,Cv1,A>2\n"]}} {"board": "AABCDEEBCDFFoGooooGooooHH", "size": 5, "moves": 6, "solution": ["Bv1", "Cv1", "H<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: AABCDEEBCDFFoGooooGooooHH\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Cv1,H<2,Gv1,Bv1,A>3\n"]}} {"board": "AAoBooCDBooCDEEoFFoooGGGo", "size": 5, "moves": 8, "solution": ["D^1", "F>1", "G>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: AAoBooCDBooCDEEoFFoooGGGo\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,F>1,G>1,Dv2,D<3,Bv1,Bv1,A>3\n"]}} {"board": "BBBoCDAAECDooECFooEoFGGGo", "size": 5, "moves": 7, "solution": ["B>1", "Cv2", "C^1", "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: BBBoCDAAECDooECFooEoFGGGo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nB>1,Cv2,C^1,F^1,G<1,Dv1,A>2\n"]}} {"board": "AAoBoCCCBDoEoFDoEGFDooGHH", "size": 5, "moves": 5, "solution": ["G^1", "H<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: AAoBoCCCBDoEoFDoEGFDooGHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nG^1,H<2,Gv1,Bv1,A>3\n"]}} {"board": "oBBBCoAADCoEEDCFFGDoooGHH", "size": 5, "moves": 6, "solution": ["E<1", "G^1", "H<2", "Cv2", "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: oBBBCoAADCoEEDCFFGDoooGHH\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,G^1,H<2,Cv2,Cv1,A>2\n"]}} {"board": "AAoBCDDDBCoEFFGHEIJGHoIJo", "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: AAoBCDDDBCoEFFGHEIJGHoIJo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,E<1,Bv1,Fv1,Bv1,A>3\n"]}} {"board": "ooAABoCCoBoooDEFGGDEFHHII", "size": 5, "moves": 6, "solution": ["F^1", "H<1", "I<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: ooAABoCCoBoooDEFGGDEFHHII\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,H<1,I<1,Fv1,Bv1,A>1\n"]}} {"board": "oAABCoDEBCFDEGGFooHHIIooo", "size": 5, "moves": 7, "solution": ["I>3", "Dv2", "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: oAABCoDEBCFDEGGFooHHIIooo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nI>3,Dv2,Dv2,E<2,Bv1,Bv1,A>2\n"]}} {"board": "BoAACBoDoCooDEEFFGGooHHoo", "size": 5, "moves": 6, "solution": ["G>1", "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: BoAACBoDoCooDEEFFGGooHHoo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nG>1,H<1,Dv2,D<1,Cv1,A>1\n"]}} {"board": "AAooBooooBooCoBoDCEEoDCoo", "size": 5, "moves": 6, "solution": ["C^2", "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: AAooBooooBooCoBoDCEEoDCoo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,D^2,E<3,Bv1,Bv1,A>3\n"]}} {"board": "ooAABCoooBCoDDEFFGoEooGHH", "size": 5, "moves": 7, "solution": ["C^1", "D<2", "G^1", "H<1", "Fv1", "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: ooAABCoooBCoDDEFFGoEooGHH\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D<2,G^1,H<1,Fv1,Cv1,A>1\n"]}} {"board": "oAABCoDoBCoDEEoFFooooGGGo", "size": 5, "moves": 7, "solution": ["Cv1", "F>2", "G>1", "Cv2", "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: oAABCoDoBCoDEEoFFooooGGGo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,F>2,G>1,Cv2,D<1,Bv1,A>2\n"]}} {"board": "BBBoCoDAACEDFFFEoGGoEHHHo", "size": 5, "moves": 5, "solution": ["H>1", "Dv2", "E<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: BBBoCoDAACEDFFFEoGGoEHHHo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nH>1,Dv2,E<1,Cv2,A>1\n"]}} {"board": "oAABCoDDBCEoFFFEoGGGoooHH", "size": 5, "moves": 5, "solution": ["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: oAABCoDDBCEoFFFEoGGGoooHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^2,F<2,Cv1,Cv1,A>2\n"]}} {"board": "AAooBoCooBoCDDDooEEoFFFGG", "size": 5, "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 (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAooBoCooBoCDDDooEEoFFFGG\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": "BooooBAAoCBoDDCoEFFFoEGGo", "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: BooooBAAoCBoDDCoEFFFoEGGo\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": "AAoBCooDBCEFDGoEFDGHEIIIH", "size": 5, "moves": 6, "solution": ["Cv1", "E^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: AAoBCooDBCEFDGoEFDGHEIIIH\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,E^1,I<1,Gv1,Bv1,A>3\n"]}} {"board": "AABooCDBEoCDFEGoHFEGoHIIG", "size": 5, "moves": 5, "solution": ["G^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: AABooCDBEoCDFEGoHFEGoHIIG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nG^1,I>1,Gv1,Bv1,A>3\n"]}} {"board": "AAooBoCDDBoCEEEFFoooGGGoo", "size": 5, "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 (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAooBoCDDBoCEEEFFoooGGGoo\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": "oAABCoooBCDEEoCDFFGGHHooo", "size": 5, "moves": 6, "solution": ["Bv1", "D^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: oAABCoooBCDEEoCDFFGGHHooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,D^1,F<1,G<1,Bv1,A>2\n"]}} {"board": "oAAoBoCDDBoCEFFooEGooHHGo", "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: oAAoBoCDDBoCEFFooEGooHHGo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nH<1,Ev1,E<1,Bv1,A>2\n"]}} {"board": "AABCDEFBCDEFBoGoFooGooHHo", "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: AABCDEFBCDEFBoGoFooGooHHo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,Gv1,Bv1,A>3\n"]}} {"board": "oAABCDEEBCDFGGCDFHHooooII", "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: oAABCDEEBCDFGGCDFHHooooII\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Fv1,F<1,Bv1,A>2\n"]}} {"board": "oooBoAAoBCoDDDCooEEEFFGGo", "size": 5, "moves": 5, "solution": ["D<1", "E<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: oooBoAAoBCoDDDCooEEEFFGGo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,E<2,Bv2,Bv1,A>3\n"]}} {"board": "oBBBCAAooCDEEFFDGGHHooIII", "size": 5, "moves": 8, "solution": ["A>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: oBBBCAAooCDEEFFDGGHHooIII\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,D^2,E<1,F<1,G<1,H<1,Dv2,A>2\n"]}} {"board": "AABoCoDBECFDBEoFGGHooooHo", "size": 5, "moves": 5, "solution": ["Cv1", "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: AABoCoDBECFDBEoFGGHooooHo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,F^1,G<1,Bv1,A>3\n"]}} {"board": "oBCCCDBooEDAAoEoFFGGHHoII", "size": 5, "moves": 5, "solution": ["A>1", "Bv1", "B<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: oBCCCDBooEDAAoEoFFGGHHoII\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,Bv1,B<1,E^1,A>1\n"]}} {"board": "oBAACDBEECDFGGGoFHHHoIIoo", "size": 5, "moves": 5, "solution": ["I>1", "Fv1", "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: oBAACDBEECDFGGGoFHHHoIIoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nI>1,Fv1,F<1,Cv1,A>1\n"]}} {"board": "oAABooCDBEoCDBEooDFFGGHHo", "size": 5, "moves": 6, "solution": ["A<1", "D^1", "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: oAABooCDBEoCDBEooDFFGGHHo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<1,D^1,F<3,Bv1,Bv1,A>3\n"]}} {"board": "BBBoCooAACooooCDEEFFDooGG", "size": 5, "moves": 6, "solution": ["D^2", "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: BBBoCooAACooooCDEEFFDooGG\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,E<1,F<1,G<1,Cv2,A>1\n"]}} {"board": "BCCCoBooooDEFFFDEAAGHHHoG", "size": 5, "moves": 5, "solution": ["C>1", "E^2", "F<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: BCCCoBooooDEFFFDEAAGHHHoG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC>1,E^2,F<1,G^2,A>1\n"]}} {"board": "oAAoBCoDDBCEFFFoEGooHHGII", "size": 5, "moves": 5, "solution": ["A>1", "E^2", "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: oAAoBCoDDBCEFFFoEGooHHGII\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,E^2,F<1,Cv1,A>1\n"]}} {"board": "BBBooCDEEECDooFoAAoFGGooo", "size": 5, "moves": 5, "solution": ["A>1", "Dv1", "D<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: BBBooCDEEECDooFoAAoFGGooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,Dv1,D<1,F^1,A>1\n"]}} {"board": "AAooBCDDoBCEFFFCEoGHIIIGH", "size": 5, "moves": 6, "solution": ["A>2", "D>1", "E^2", "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: AAooBCDDoBCEFFFCEoGHIIIGH\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,D>1,E^2,F<1,Cv1,A>1\n"]}} {"board": "oBAACoBooCDoEFGDoEFGDoEHH", "size": 5, "moves": 5, "solution": ["E^1", "H<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: oBAACoBooCDoEFGDoEFGDoEHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,H<1,Gv1,Cv1,A>1\n"]}} {"board": "AABooCoBoDCEFFDCEGGooHHII", "size": 5, "moves": 6, "solution": ["H<1", "I<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: AABooCoBoDCEFFDCEGGooHHII\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nH<1,I<1,Dv2,E>1,Bv1,A>3\n"]}} {"board": "ooBBBAAoCoDooCoDoEEEDFFFo", "size": 5, "moves": 5, "solution": ["A>1", "D^2", "E<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: ooBBBAAoCoDooCoDoEEEDFFFo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,D^2,E<2,Dv1,A>2\n"]}} {"board": "BoAACBoooCDEFGGDEFooHHHoo", "size": 5, "moves": 10, "solution": ["H>1", "Dv1", "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: BoAACBoooCDEFGGDEFooHHHoo\nOptimal length (moves): 10\nReturn only the and blocks.", "\nShortest path found.\n\n\nH>1,Dv1,Bv1,A<2,E^2,F<1,Cv3,E>1,Bv1,A>3\n"]}} {"board": "oAAoBCDooBCDEEECFFFGHHooG", "size": 5, "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 (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAAoBCDooBCDEEECFFFGHHooG\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": "AABCDEEBCDFFooDoGGHHoIIJJ", "size": 5, "moves": 6, "solution": ["Bv1", "Bv1", "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: AABCDEEBCDFFooDoGGHHoIIJJ\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,G<1,H<1,Bv1,A>3\n"]}} {"board": "AAoBCoDEBCoDEFCoDGFoooGHH", "size": 5, "moves": 9, "solution": ["Cv1", "D^1", "G^1", "H<3", "Fv1", "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: AAoBCoDEBCoDEFCoDGFoooGHH\nOptimal length (moves): 9\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,D^1,G^1,H<3,Fv1,Bv1,Fv1,Bv1,A>3\n"]}} {"board": "AAoBCDDDBCoEoFFoEGGooHHHo", "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: AAoBCDDDBCoEoFFoEGGooHHHo\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": "oooooBCCCoBooDEAAoDEoooDE", "size": 5, "moves": 6, "solution": ["E^2", "A>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: oooooBCCCoBooDEAAoDEoooDE\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^2,A>1,Cv1,C<1,E^2,A>2\n"]}} {"board": "AABCoooBCooDEEFGDoHFGooHo", "size": 5, "moves": 5, "solution": ["Dv1", "D<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: AABCoooBCooDEEFGDoHFGooHo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,D<2,Bv1,Bv1,A>3\n"]}} {"board": "AABCoDDBCoEEoFoGGHFoooHII", "size": 5, "moves": 7, "solution": ["H^1", "I<3", "Fv1", "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: AABCoDDBCoEEoFoGGHFoooHII\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nH^1,I<3,Fv1,Bv1,Fv1,Bv1,A>3\n"]}} {"board": "BAACoBooCoDoEEEDoFFFGGooo", "size": 5, "moves": 5, "solution": ["G>1", "Dv1", "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: BAACoBooCoDoEEEDoFFFGGooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nG>1,Dv1,D<2,Cv1,A>2\n"]}} {"board": "AAoBCDEEBCDoFFFGooHHGoooo", "size": 5, "moves": 6, "solution": ["A>1", "D^1", "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: AAoBCDEEBCDoFFFGooHHGoooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,D^1,F<2,Cv1,Cv1,A>2\n"]}} {"board": "BAACDBEECDoFFFGHHHoGIIoJJ", "size": 5, "moves": 6, "solution": ["F<1", "Cv1", "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: BAACDBEECDoFFFGHHHoGIIoJJ\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Cv1,J<1,Gv1,Cv1,A>2\n"]}} {"board": "ooBooAABoCoDEECFDoooFGGHH", "size": 5, "moves": 7, "solution": ["F^1", "G<1", "H<1", "Cv2", "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: ooBooAABoCoDEECFDoooFGGHH\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,G<1,H<1,Cv2,E>1,Bv2,A>3\n"]}} {"board": "AAoBCoDDBCEFFFGEoHHGoIIIo", "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: AAoBCoDDBCEFFFGEoHHGoIIIo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,E<1,Bv1,Fv1,Bv1,A>3\n"]}} {"board": "BBBoCAAooCDDEECoFFGGooHHH", "size": 5, "moves": 5, "solution": ["F<1", "G<1", "H<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: BBBoCAAooCDDEECoFFGGooHHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,G<1,H<1,Cv2,A>3\n"]}} {"board": "AAoBCDooBCDEEoCoFFGGooHHo", "size": 5, "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 (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAoBCDooBCDEEoCoFFGGooHHo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,F<1,G<1,Bv1,A>3\n"]}} {"board": "BBBoCAAooCDooEEDFFGGDooHH", "size": 5, "moves": 8, "solution": ["B>1", "A>1", "D^2", "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: BBBoCAAooCDooEEDFFGGDooHH\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nB>1,A>1,D^2,E<1,F<1,G<1,Dv2,A>2\n"]}} {"board": "AAoBCDDDBCoEoFFoEGGHIIooH", "size": 5, "moves": 6, "solution": ["I>2", "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: AAoBCDDDBCoEoFFoEGGHIIooH\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nI>2,Ev1,E<2,Bv1,Bv1,A>3\n"]}} {"board": "AAoBCoDDBCoEoFFoEooooGGoo", "size": 5, "moves": 6, "solution": ["G>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: AAoBCoDDBCoEoFFoEooooGGoo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nG>1,Ev1,E<2,Bv1,Bv1,A>3\n"]}} {"board": "oAABCoooBCooooDEFFFDEGGHH", "size": 5, "moves": 7, "solution": ["Bv1", "E^1", "G<1", "H<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: oAABCoooBCooooDEFFFDEGGHH\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,E^1,G<1,H<1,Ev1,Bv1,A>2\n"]}} {"board": "oBBBoAACDEooCDEFooDEFGGGo", "size": 5, "moves": 6, "solution": ["Cv1", "Dv1", "F^1", "G<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: oBBBoAACDEooCDEFooDEFGGGo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Dv1,F^1,G<1,Cv1,A>3\n"]}} {"board": "AABCoDEBCoDEoFFooGGHIIIoH", "size": 5, "moves": 9, "solution": ["F<1", "H^1", "I>2", "Dv2", "Dv2", "D<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: AABCoDEBCoDEoFFooGGHIIIoH\nOptimal length (moves): 9\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,H^1,I>2,Dv2,Dv2,D<2,Bv1,Bv1,A>3\n"]}} {"board": "oBBBooCDDDECAAFEGGoFHHIII", "size": 5, "moves": 5, "solution": ["G>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: oBBBooCDDDECAAFEGGoFHHIII\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nG>1,Cv1,C<1,F^2,A>1\n"]}} {"board": "oAABoCooBoCDoBoCDEEEFFFoo", "size": 5, "moves": 5, "solution": ["C^1", "D^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: oAABoCooBoCDoBoCDEEEFFFoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^1,E<2,Cv1,A>2\n"]}} {"board": "BooooBCCCDoooEDAAoEDFFoEo", "size": 5, "moves": 6, "solution": ["D^1", "A>1", "Bv2", "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: BooooBCCCDoooEDAAoEDFFoEo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>1,Bv2,C<1,E^2,A>2\n"]}} {"board": "ooAABCCoDBooEDFoGEDFoGHHH", "size": 5, "moves": 5, "solution": ["G^1", "H<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: ooAABCCoDBooEDFoGEDFoGHHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nG^1,H<1,Gv1,Bv1,A>1\n"]}} {"board": "ooBoCooBoCoAAoDEFFoDEGGHH", "size": 5, "moves": 5, "solution": ["E^1", "G<1", "H<1", "Ev1", "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: ooBoCooBoCoAAoDEFFoDEGGHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,G<1,H<1,Ev1,A>2\n"]}} {"board": "AABCooDBCEoDFCEooFoooGGoo", "size": 5, "moves": 5, "solution": ["Cv1", "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: AABCooDBCEoDFCEooFoooGGoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,G<1,Fv1,Bv1,A>3\n"]}} {"board": "ooAABoCDDBoCoEFoGGEFoHHII", "size": 5, "moves": 5, "solution": ["H<1", "I<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: ooAABoCDDBoCoEFoGGEFoHHII\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nH<1,I<1,Fv1,Bv1,A>1\n"]}} {"board": "ooooBoAACBDoECoDFECoDFoGG", "size": 5, "moves": 5, "solution": ["Bv2", "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: ooooBoAACBDoECoDFECoDFoGG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,F^1,G<2,Bv1,A>2\n"]}} {"board": "ooooBAAooBCDEEECDFFFoGGoo", "size": 5, "moves": 6, "solution": ["A>2", "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: ooooBAAooBCDEEECDFFFoGGoo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,D^2,E<1,F<1,Cv2,A>1\n"]}} {"board": "oooBoCAABDCoEEDoFFFDGGGoo", "size": 5, "moves": 5, "solution": ["Dv1", "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: oooBoCAABDCoEEDoFFFDGGGoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,D<1,F<1,Bv2,A>2\n"]}} {"board": "oAABoCoDBoCoDEEFooGoFHHGo", "size": 5, "moves": 7, "solution": ["C^1", "F^1", "H<1", "Dv2", "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: oAABoCoDBoCoDEEFooGoFHHGo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,F^1,H<1,Dv2,E<2,Cv1,A>2\n"]}} {"board": "AABCoooBCooDEEooDooFoGGoF", "size": 5, "moves": 6, "solution": ["G>1", "Dv1", "D<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: AABCoooBCooDEEooDooFoGGoF\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nG>1,Dv1,D<2,Bv1,Bv1,A>3\n"]}} {"board": "AABoCDDBoCEoFFoEGGooHHoII", "size": 5, "moves": 5, "solution": ["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: AABoCDDBoCEoFFoEGGooHHoII\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nI<1,Cv3,E>1,Bv1,A>3\n"]}} {"board": "oAABCDDoBCoEEEFoGGGFoHHHo", "size": 5, "moves": 5, "solution": ["E<1", "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: oAABCDDoBCoEEEFoGGGFoHHHo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv1,Fv1,Bv1,A>2\n"]}} {"board": "BAACDBooCDEFooDEFGGGEoHHo", "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: BAACDBooCDEFooDEFGGGEoHHo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,F^1,G<1,Cv1,A>2\n"]}} {"board": "AABooCCBooDEFFGDEHHGIIooG", "size": 5, "moves": 6, "solution": ["I>2", "Dv1", "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: AABooCCBooDEFFGDEHHGIIooG\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nI>2,Dv1,Dv1,D<2,Bv1,A>3\n"]}} {"board": "oAAoBCooDBCEEDFCGGGFoHHII", "size": 5, "moves": 5, "solution": ["H<1", "I<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: oAAoBCooDBCEEDFCGGGFoHHII\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nH<1,I<1,Fv1,Bv1,A>2\n"]}} {"board": "AABCoooBCDoEBCDFEGGDFHHoo", "size": 5, "moves": 6, "solution": ["E^1", "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: AABCoooBCDoEBCDFEGGDFHHoo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,F^2,G<2,Bv1,Bv1,A>3\n"]}} {"board": "oBBBoooooooCDDDoCoEoAAoEo", "size": 5, "moves": 5, "solution": ["B>1", "C^2", "D<2", "E^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: oBBBoooooooCDDDoCoEoAAoEo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB>1,C^2,D<2,E^1,A>3\n"]}} {"board": "oAABCoDEBCoDEoCoDFFFooGGo", "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: oAABCoDEBCoDEoCoDFFFooGGo\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": "ooAABoCCDBoooDEooFoEGGFHH", "size": 5, "moves": 5, "solution": ["F^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: ooAABoCCDBoooDEooFoEGGFHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,H<1,Fv1,Bv1,A>1\n"]}} {"board": "AAoBoCooBoCDDDEooFFEGGGHH", "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: AAoBoCooBoCDDDEooFFEGGGHH\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": "AABCoooBCDEoBFDEooFoEGGGo", "size": 5, "moves": 6, "solution": ["Bv1", "E^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: AABCoooBCDEoBFDEooFoEGGGo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,E^1,G<1,Fv1,Bv1,A>3\n"]}} {"board": "BoCCCBAADoooEDFGHEDFGHIII", "size": 5, "moves": 5, "solution": ["G^1", "H^1", "I<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: BoCCCBAADoooEDFGHEDFGHIII\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nG^1,H^1,I<2,Dv1,A>2\n"]}} {"board": "oBBBoCDEEECDFGoCoFGHoAAGH", "size": 5, "moves": 6, "solution": ["Cv1", "Cv1", "C<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: oBBBoCDEEECDFGoCoFGHoAAGH\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Cv1,C<2,G^1,H^1,A>2\n"]}} {"board": "oAABoCCoBoDEFFoDEGGGoHHoo", "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: oAABoCCoBoDEFFoDEGGGoHHoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nH>1,Ev1,E<1,Bv1,A>2\n"]}} {"board": "oBBBCDoooCDEFFFDEooGoAAoG", "size": 5, "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 (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oBBBCDoooCDEFFFDEooGoAAoG\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": "BCCCoBDEFooDEFoGooHoGAAHo", "size": 5, "moves": 5, "solution": ["Bv1", "B<1", "F^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: BCCCoBDEFooDEFoGooHoGAAHo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,B<1,F^1,H^1,A>2\n"]}} {"board": "BCoooBCAADBEEoDoFooDoFGGG", "size": 5, "moves": 5, "solution": ["E>1", "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: BCoooBCAADBEEoDoFooDoFGGG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE>1,F^1,G<1,Dv1,A>1\n"]}} {"board": "AAoBooCCBoDEoFFDEoGGDHHoo", "size": 5, "moves": 5, "solution": ["H>1", "Ev1", "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: AAoBooCCBoDEoFFDEoGGDHHoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nH>1,Ev1,E<2,Bv1,A>3\n"]}} {"board": "AAoBCoDoBCoDooEoDooEoooFF", "size": 5, "moves": 5, "solution": ["Bv1", "F<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: AAoBCoDoBCoDooEoDooEoooFF\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,F<1,Ev1,Bv1,A>3\n"]}} {"board": "AABCoooBCooDBCEoDFFEooGGG", "size": 5, "moves": 5, "solution": ["D^1", "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: AABCoooBCooDBCEoDFFEooGGG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,F<2,Bv1,Bv1,A>3\n"]}} {"board": "AABoCooBoCDDEEoFFoGGoooHH", "size": 5, "moves": 5, "solution": ["E>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: AABoCooBoCDDEEoFFoGGoooHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE>1,Bv3,D<1,Bv1,A>3\n"]}} {"board": "AAoBooCCBoDDoBoEoFGGEoFHH", "size": 5, "moves": 5, "solution": ["C<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: AAoBooCCBoDDoBoEoFGGEoFHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,F^2,G<2,Bv1,A>3\n"]}} {"board": "AABCoDEBCoDEFCGHoFoGHIIoo", "size": 5, "moves": 5, "solution": ["Cv1", "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: AABCoDEBCoDEFCGHoFoGHIIoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,I>2,Fv1,Bv1,A>3\n"]}} {"board": "ooBCDAABCDooEEoFFoooGGoHH", "size": 5, "moves": 5, "solution": ["Dv2", "D<2", "Bv2", "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: ooBCDAABCDooEEoFFoooGGoHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv2,D<2,Bv2,Bv2,A>3\n"]}} {"board": "ooAABCCoDBEFFDBEGGHHooIII", "size": 5, "moves": 6, "solution": ["C>1", "E^1", "G<1", "H<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: ooAABCCoDBEFFDBEGGHHooIII\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nC>1,E^1,G<1,H<1,Bv1,A>1\n"]}} {"board": "oBCCCDBooEDAAFEoGGFHooIIH", "size": 5, "moves": 7, "solution": ["I<1", "Fv1", "A>1", "Bv1", "B<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: oBCCCDBooEDAAFEoGGFHooIIH\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nI<1,Fv1,A>1,Bv1,B<1,E^1,A>1\n"]}} {"board": "BCCCoBoAADEFooDEFGGGEFoHH", "size": 5, "moves": 5, "solution": ["C>1", "F^2", "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: BCCCoBoAADEFooDEFGGGEFoHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC>1,F^2,G<1,Ev1,A>1\n"]}} {"board": "AAoBCDDDBCEoFFGEoooGEooHH", "size": 5, "moves": 6, "solution": ["F<1", "Bv1", "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: AAoBCDDDBCEoFFGEoooGEooHH\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Bv1,H<1,Gv1,Bv1,A>3\n"]}} {"board": "AABCoooBCDEoFCDEoFoDoGGoo", "size": 5, "moves": 5, "solution": ["Cv1", "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: AABCoooBCDEoFCDEoFoDoGGoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,G<1,Fv1,Bv1,A>3\n"]}} {"board": "AAoBCoDDBCoooECFFFEooooGG", "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: AAoBCoDDBCoooECFFFEooooGG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,G<2,Ev1,Bv1,A>3\n"]}} {"board": "oAABCoooBCDEooCDEFGGDoFoo", "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: oAABCoooBCDEooCDEFGGDoFoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,F^2,G<1,Bv1,A>2\n"]}} {"board": "BoAACBDooCoDEFFoDEGGoHHII", "size": 5, "moves": 5, "solution": ["H<1", "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: BoAACBDooCoDEFFoDEGGoHHII\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nH<1,Ev1,E<1,Cv1,A>1\n"]}} {"board": "oBBBoCDEEECDooFGAAoFGHHHF", "size": 5, "moves": 5, "solution": ["A>1", "Dv1", "D<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: oBBBoCDEEECDooFGAAoFGHHHF\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,Dv1,D<1,F^2,A>1\n"]}} {"board": "AAoBCoooBCDEoFFDEoooDGGGo", "size": 5, "moves": 6, "solution": ["G>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: AAoBCoooBCDEoFFDEoooDGGGo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nG>1,Ev1,E<2,Bv1,Bv1,A>3\n"]}} {"board": "AABoCooBDCEFFDoEGGHHEIIoo", "size": 5, "moves": 12, "solution": ["D^1", "F>2", "Bv1", "A>1", "E^2", "G<1", "I<1", "Ev2", "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: AABoCooBDCEFFDoEGGHHEIIoo\nOptimal length (moves): 12\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,F>2,Bv1,A>1,E^2,G<1,I<1,Ev2,E<2,Cv1,Cv1,A>2\n"]}} {"board": "BBBoCAAooCDEEEoDFFGGooHHH", "size": 5, "moves": 6, "solution": ["A>1", "D^1", "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: BBBoCAAooCDEEEoDFFGGooHHH\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,D^1,F<1,G<1,Cv2,A>2\n"]}} {"board": "oBBBCAADoCooDooEoDooEFFGG", "size": 5, "moves": 5, "solution": ["Cv2", "E^1", "F<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: oBBBCAADoCooDooEoDooEFFGG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,E^1,F<1,Cv1,A>3\n"]}} {"board": "BooooBoCCCBooDooAADoEEooo", "size": 5, "moves": 5, "solution": ["E>1", "Bv2", "B<2", "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: BooooBoCCCBooDooAADoEEooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE>1,Bv2,B<2,D^1,A>2\n"]}} {"board": "BBBoCAAoDCEFFDoEGGGoEHHII", "size": 5, "moves": 7, "solution": ["B>1", "Cv2", "A>1", "D^2", "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: BBBoCAAoDCEFFDoEGGGoEHHII\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nB>1,Cv2,A>1,D^2,G<1,Dv1,A>2\n"]}} {"board": "BCCCoBoDDDAAoEooFFEoGGHHo", "size": 5, "moves": 6, "solution": ["A>1", "Bv2", "B<1", "C<2", "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: BCCCoBoDDDAAoEooFFEoGGHHo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,Bv2,B<1,C<2,E^2,A>2\n"]}} {"board": "AAoBCDoEBCDFEGGHFoooHIIoo", "size": 5, "moves": 7, "solution": ["I>2", "Ev2", "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: AAoBCDoEBCDFEGGHFoooHIIoo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nI>2,Ev2,Ev1,E<2,Bv1,Bv1,A>3\n"]}} {"board": "BBBCDAAoCDoooCoEFFooEoGGG", "size": 5, "moves": 5, "solution": ["Dv2", "E^1", "G<2", "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: BBBCDAAoCDoooCoEFFooEoGGG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv2,E^1,G<2,Cv2,A>3\n"]}} {"board": "BoCCCBoDDDBAAEooFFEGHHIIG", "size": 5, "moves": 9, "solution": ["G^1", "I>1", "H>1", "Bv2", "B<2", "C<2", "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: BoCCCBoDDDBAAEooFFEGHHIIG\nOptimal length (moves): 9\nReturn only the and blocks.", "\nShortest path found.\n\n\nG^1,I>1,H>1,Bv2,B<2,C<2,E^2,F^2,A>2\n"]}} {"board": "AABCDooBCDoEoCooEFFoGGoHH", "size": 5, "moves": 6, "solution": ["Bv1", "Cv1", "E^1", "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: AABCDooBCDoEoCooEFFoGGoHH\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Cv1,E^1,F<1,Bv1,A>3\n"]}} {"board": "oAABoooCBoooCDDEEFFFGGGHH", "size": 5, "moves": 6, "solution": ["A<1", "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: oAABoooCBoooCDDEEFFFGGGHH\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<1,C^1,D<3,Bv1,Bv1,A>3\n"]}} {"board": "AAoBoCCCBooDoEEoDoooFFooo", "size": 5, "moves": 5, "solution": ["F>2", "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: AAoBoCCCBooDoEEoDoooFFooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nF>2,Dv1,D<2,Bv1,A>3\n"]}} {"board": "oBCCCoBAADEFFGDEoHGDIIHJJ", "size": 5, "moves": 6, "solution": ["E^2", "F<1", "H^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: oBCCCoBAADEFFGDEoHGDIIHJJ\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^2,F<1,H^1,J<1,Ev1,A>1\n"]}} {"board": "AABoCoDBoCEDoFFEoGGoooHHH", "size": 5, "moves": 6, "solution": ["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: AABoCoDBoCEDoFFEoGGoooHHH\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv2,Dv1,D<3,Bv1,Bv1,A>3\n"]}} {"board": "ooooooAAoBoCCCBDEFFFDEoGG", "size": 5, "moves": 8, "solution": ["A>1", "B^1", "C>1", "E^3", "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: ooooooAAoBoCCCBDEFFFDEoGG\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,B^1,C>1,E^3,D<1,F<1,Cv2,A>1\n"]}} {"board": "BAACoBDDCoBEoFFoEoooGGGoo", "size": 5, "moves": 5, "solution": ["G>2", "Ev1", "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: BAACoBDDCoBEoFFoEoooGGGoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nG>2,Ev1,E<2,Cv1,A>2\n"]}} {"board": "oAABCDDEBCooEFFoGGoooooHH", "size": 5, "moves": 6, "solution": ["G<1", "Ev2", "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: oAABCDDEBCooEFFoGGoooooHH\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,Ev2,E<2,Bv1,Bv1,A>2\n"]}} {"board": "oAABCooDBCEEDBCooDFFooGGG", "size": 5, "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 (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: oAABCooDBCEEDBCooDFFooGGG\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": "AAoBCooDBCEoDFoEooFoooGGG", "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: AAoBCooDBCEoDFoEooFoooGGG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,G<2,Fv1,Bv1,A>3\n"]}} {"board": "AABooCoBoDCEEFDGGoFDoooFo", "size": 5, "moves": 5, "solution": ["G>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: AABooCoBoDCEEFDGGoFDoooFo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nG>1,Cv2,D<1,Bv1,A>3\n"]}} {"board": "oAABoCCDBooEDFFoEGHIooGHI", "size": 5, "moves": 7, "solution": ["A<1", "D^1", "Ev1", "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: oAABoCCDBooEDFFoEGHIooGHI\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<1,D^1,Ev1,E<3,Bv1,Bv1,A>3\n"]}} {"board": "BBBCooAACoDEEEoDoFFoooGGG", "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: BBBCooAACoDEEEoDoFFoooGGG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,D<1,F<1,Cv2,A>2\n"]}} {"board": "AAoBCDooBCDooEFoooEFoooGG", "size": 5, "moves": 6, "solution": ["G<2", "Ev1", "Bv1", "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: AAoBCDooBCDooEFoooEFoooGG\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<2,Ev1,Bv1,Ev1,Bv1,A>3\n"]}} {"board": "BBBoooCDDDoCEEEFoAAGFHHoG", "size": 5, "moves": 6, "solution": ["H>1", "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: BBBoooCDDDoCEEEFoAAGFHHoG\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nH>1,Cv2,C<1,D<1,G^2,A>1\n"]}} {"board": "AAoBCDDEBCFoEGHFIJGHoIJoo", "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: AAoBCDDEBCFoEGHFIJGHoIJoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nGv1,Bv1,Gv1,Bv1,A>3\n"]}} {"board": "AABoCDEBoCDEoFFDGGHHoIIoo", "size": 5, "moves": 9, "solution": ["Bv1", "A>1", "C^1", "G<1", "I<1", "Ev2", "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: AABoCDEBoCDEoFFDGGHHoIIoo\nOptimal length (moves): 9\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>1,C^1,G<1,I<1,Ev2,E<1,Cv1,A>2\n"]}} {"board": "AAoBCoDEBCoDEFCGHHFoGoIII", "size": 5, "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 (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: AAoBCoDEBCoDEFCGHHFoGoIII\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": "AABoCDDBoCooEEFoGGoFHHIIo", "size": 5, "moves": 5, "solution": ["E<2", "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: AABoCDDBoCooEEFoGGoFHHIIo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<2,Bv1,Fv1,Bv1,A>3\n"]}} {"board": "BAAoCBoDoCBEDFFoEoGGooHHo", "size": 5, "moves": 5, "solution": ["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: BAAoCBoDoCBEDFFoEoGGooHHo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nH<2,Dv2,E<1,Cv1,A>2\n"]}} {"board": "oBBBoAAoCoDEECFDGGGFHHIIF", "size": 5, "moves": 5, "solution": ["A>1", "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: oBBBoAAoCoDEECFDGGGFHHIIF\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,D^1,G<1,Dv1,A>2\n"]}} {"board": "ooooBAACDBooCDBoEoDooEFFo", "size": 5, "moves": 6, "solution": ["Bv2", "Bv1", "E^1", "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: ooooBAACDBooCDBoEoDooEFFo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,Bv1,E^1,F<1,Bv1,A>3\n"]}} {"board": "AABCoDoBCoDEBCooEoFFGGGoo", "size": 5, "moves": 5, "solution": ["E^1", "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: AABCoDoBCoDEBCooEoFFGGGoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,F<3,Bv1,Bv1,A>3\n"]}} {"board": "AAoBoCooBDCoEFDGHEFoGHEII", "size": 5, "moves": 6, "solution": ["E^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: AAoBoCooBDCoEFDGHEFoGHEII\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,H^1,I<2,Gv1,Bv1,A>3\n"]}} {"board": "AABCDEEBCDooooFooooFooGGG", "size": 5, "moves": 6, "solution": ["Bv1", "Bv1", "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: AABCDEEBCDooooFooooFooGGG\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,G<1,Fv1,Bv1,A>3\n"]}} {"board": "AABoCoDBoCoDoEEooooooFFFo", "size": 5, "moves": 5, "solution": ["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: AABoCoDBoCoDoEEooooooFFFo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Cv3,D>1,Bv1,A>3\n"]}} {"board": "BBBoCooooCDAAoEDFGGEoFHHH", "size": 5, "moves": 5, "solution": ["A>1", "F^1", "H<1", "Fv1", "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: BBBoCooooCDAAoEDFGGEoFHHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,F^1,H<1,Fv1,A>1\n"]}} {"board": "AABoCDoBoCDoEFGDHEFGoHoFo", "size": 5, "moves": 5, "solution": ["Ev1", "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: AABoCDoBoCDoEFGDHEFGoHoFo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,Bv1,Fv1,Bv1,A>3\n"]}} {"board": "AABoCoDBoCEDFooEDFGGEoHHo", "size": 5, "moves": 5, "solution": ["Cv1", "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: AABoCoDBoCEDFooEDFGGEoHHo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,H>1,Fv1,Bv1,A>3\n"]}} {"board": "AABCDEoBCDEoFoDooFoooGGHH", "size": 5, "moves": 6, "solution": ["Cv1", "Cv1", "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: AABCDEoBCDEoFoDooFoooGGHH\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Cv1,G<1,Fv1,Bv1,A>3\n"]}} {"board": "AABCDooBCDEEooDFooGGFHHoo", "size": 5, "moves": 5, "solution": ["Bv1", "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: AABCDooBCDEEooDFooGGFHHoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,G<1,Bv1,A>3\n"]}} {"board": "oBoooCBDEoCBDEFooGHFAAGHo", "size": 5, "moves": 5, "solution": ["D^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: oBoooCBDEoCBDEFooGHFAAGHo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E^1,G^1,H^1,A>3\n"]}} {"board": "AAoBooCCBoDEEEFDGGoFHHooo", "size": 5, "moves": 5, "solution": ["A>1", "D^2", "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: AAoBooCCBoDEEEFDGGoFHHooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,D^2,E<1,Cv1,A>2\n"]}} {"board": "oooBCAAoBCDEEECDooFFGGGoo", "size": 5, "moves": 7, "solution": ["A>1", "D^2", "E<1", "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: oooBCAAoBCDEEECDooFFGGGoo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,D^2,E<1,F<2,Cv2,Cv2,A>2\n"]}} {"board": "oAAoBoCDDBoCEEEFFoGoHHoGo", "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: oAAoBoCDDBoCEEEFFoGoHHoGo\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": "AABCDEoBCDEFFoDooGGoooHHH", "size": 5, "moves": 6, "solution": ["Cv1", "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: AABCDEoBCDEFFoDooGGoooHHH\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Cv1,Cv2,E<1,Bv1,A>3\n"]}} {"board": "oAABCoDEBCFDEGoFoEGoFoHHo", "size": 5, "moves": 5, "solution": ["Cv1", "H<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: oAABCoDEBCFDEGoFoEGoFoHHo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,H<1,Gv1,Bv1,A>2\n"]}} {"board": "AABCDEoBCDEooCDFooGGFooHH", "size": 5, "moves": 5, "solution": ["Bv1", "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: AABCDEoBCDEooCDFooGGFooHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,G<2,Bv1,Bv1,A>3\n"]}} {"board": "ooooBCAADBCEEDoFGGDoFoHHH", "size": 5, "moves": 6, "solution": ["Bv2", "B^1", "F^1", "H<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: ooooBCAADBCEEDoFGGDoFoHHH\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,B^1,F^1,H<2,Cv1,A>2\n"]}} {"board": "BCDDDBCoEFoooEFoGooHoGAAH", "size": 5, "moves": 5, "solution": ["Cv1", "C<1", "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: BCDDDBCoEFoooEFoGooHoGAAH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,C<1,F^1,H^1,A>1\n"]}} {"board": "AABCDooBCDoooCEFGGGEFHHII", "size": 5, "moves": 9, "solution": ["Bv1", "F^2", "G<1", "Bv1", "H<1", "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: AABCDooBCDoooCEFGGGEFHHII\nOptimal length (moves): 9\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,F^2,G<1,Bv1,H<1,I<1,Fv1,Bv1,A>3\n"]}} {"board": "AABCoDDBCooEFGHoEFGHIIooo", "size": 5, "moves": 5, "solution": ["Fv1", "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: AABCoDDBCooEFGHoEFGHIIooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nFv1,Bv1,Fv1,Bv1,A>3\n"]}} {"board": "BCAADBCooDECFGGEoFoooHHoo", "size": 5, "moves": 5, "solution": ["H<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: BCAADBCooDECFGGEoFoooHHoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nH<1,Fv1,F<1,Dv1,A>1\n"]}} {"board": "oBAACoBDDCEBFoCEoFGGoHHHo", "size": 5, "moves": 7, "solution": ["H>1", "Bv2", "C<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: oBAACoBDDCEBFoCEoFGGoHHHo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nH>1,Bv2,C<2,F^1,G<1,Bv1,A>1\n"]}} {"board": "AABCooDBCooDoEEFFooGHHHoG", "size": 5, "moves": 9, "solution": ["E<1", "F>2", "G^1", "H>2", "Dv2", "D<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: AABCooDBCooDoEEFFooGHHHoG\nOptimal length (moves): 9\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,F>2,G^1,H>2,Dv2,D<2,Bv1,Bv1,A>3\n"]}} {"board": "AAooBoCCCBDEEFFDGGoHIIJJH", "size": 5, "moves": 6, "solution": ["A>1", "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: AAooBoCCCBDEEFFDGGoHIIJJH\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,D^2,E<1,F<1,Cv1,A>2\n"]}} {"board": "ooBBBooooCAADECFGDEoFGHHo", "size": 5, "moves": 6, "solution": ["B<2", "C^1", "E^2", "H>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: ooBBBooooCAADECFGDEoFGHHo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,C^1,E^2,H>1,Ev1,A>3\n"]}} {"board": "oAAoBoCDoBoCDoBEFFGGEooHH", "size": 5, "moves": 5, "solution": ["E^2", "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: oAAoBoCDoBoCDoBEFFGGEooHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^2,F<1,G<1,Bv1,A>2\n"]}} {"board": "oAABCooDBCooDEFooDEFoooGG", "size": 5, "moves": 6, "solution": ["G<2", "Ev1", "Bv1", "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: oAABCooDBCooDEFooDEFoooGG\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<2,Ev1,Bv1,Ev1,Bv1,A>2\n"]}} {"board": "AABCDEEBCDoFBoooFGGooHHoo", "size": 5, "moves": 5, "solution": ["Cv1", "Cv1", "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: AABCDEEBCDoFBoooFGGooHHoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Cv1,G>1,Bv1,A>3\n"]}} {"board": "BCoooBCAADoEEFDGooFDGHHII", "size": 5, "moves": 5, "solution": ["G^1", "H<1", "I<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: BCoooBCAADoEEFDGooFDGHHII\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nG^1,H<1,I<1,Dv1,A>1\n"]}} {"board": "oAABCDEEBCDFFFoGHHoIGJJoI", "size": 5, "moves": 5, "solution": ["Cv1", "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: oAABCDEEBCDFFFoGHHoIGJJoI\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,C^1,F<1,Cv1,A>2\n"]}} {"board": "oAABCoooBCoDDDEFGooEFGoHH", "size": 5, "moves": 6, "solution": ["D<1", "Bv1", "H<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: oAABCoooBCoDDDEFGooEFGoHH\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv1,H<1,Ev1,Bv1,A>2\n"]}} {"board": "BCDooBCDEFGoDEFGooHIAAoHI", "size": 5, "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 (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BCDooBCDEFGoDEFGooHIAAoHI\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": "BoooCBoAACDEEooDFGGGDFHHH", "size": 5, "moves": 5, "solution": ["E>1", "F^2", "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: BoooCBoAACDEEooDFGGGDFHHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE>1,F^2,G<1,Cv2,A>1\n"]}} {"board": "oBCCCoBDoEAADoEooFFGHHooG", "size": 5, "moves": 7, "solution": ["F<2", "Dv2", "A>2", "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: oBCCCoBDoEAADoEooFFGHHooG\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<2,Dv2,A>2,Bv1,B<1,D^1,A>1\n"]}} {"board": "AAoBoCooBoCDEBooDEFFGGooo", "size": 5, "moves": 5, "solution": ["D^1", "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: AAoBoCooBoCDEBooDEFFGGooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E^1,F<2,Bv1,A>3\n"]}} {"board": "AAoBCDEoBCDEFFoGoHHHGoIII", "size": 5, "moves": 5, "solution": ["Cv1", "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: AAoBCDEoBCDEFFoGoHHHGoIII\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Dv2,E<1,Bv1,A>3\n"]}} {"board": "oAABooCCBoDooEoDooEFDGGGF", "size": 5, "moves": 5, "solution": ["D^1", "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: oAABooCCBoDooEoDooEFDGGGF\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,G<1,Ev1,Bv1,A>2\n"]}} {"board": "oAABCoooBCDDoBEoFGoEoFGHH", "size": 5, "moves": 6, "solution": ["Bv1", "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: oAABCoooBCDDoBEoFGoEoFGHH\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,G^1,H<1,Fv1,Bv1,A>2\n"]}} {"board": "BCCCoBoAADoEoFDGEoFDGHHII", "size": 5, "moves": 5, "solution": ["G^1", "H<1", "I<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: BCCCoBoAADoEoFDGEoFDGHHII\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nG^1,H<1,I<1,Dv1,A>1\n"]}} {"board": "BCooDBCAADoCooDEooFFEGGHH", "size": 5, "moves": 6, "solution": ["E^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: BCooDBCAADoCooDEooFFEGGHH\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,F<1,G<1,H<1,Dv2,A>1\n"]}} {"board": "ooAABCDDoBCEEFFooGGGHHIII", "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: ooAABCDDoBCEEFFooGGGHHIII\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": "ooBBBCAADoCooDoEooDoEFFFo", "size": 5, "moves": 5, "solution": ["C^1", "E^1", "F<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: ooBBBCAADoCooDoEooDoEFFFo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,E^1,F<1,Dv1,A>2\n"]}} {"board": "AAoBCoDEBCFDEGoFHHGIoJJJI", "size": 5, "moves": 5, "solution": ["Cv1", "J<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: AAoBCoDEBCFDEGoFHHGIoJJJI\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,J<1,Gv1,Bv1,A>3\n"]}} {"board": "AABCoooBCoDEFGGDEFHHoooII", "size": 5, "moves": 7, "solution": ["Dv1", "Dv1", "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: AABCoooBCoDEFGGDEFHHoooII\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,Dv1,Dv1,D<3,Bv1,Bv1,A>3\n"]}} {"board": "AABCoDDBCEFGGoEFoHHHoIIoo", "size": 5, "moves": 5, "solution": ["Cv1", "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: AABCoDDBCEFGGoEFoHHHoIIoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Fv1,F<1,Bv1,A>3\n"]}} {"board": "AABCDooBCDEoBooEFFGHIIoGH", "size": 5, "moves": 6, "solution": ["Cv1", "Cv1", "E^1", "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: AABCDooBCDEoBooEFFGHIIoGH\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Cv1,E^1,F<1,Bv1,A>3\n"]}} {"board": "AAoBoooCBoooCDDoEFFFoEGGG", "size": 5, "moves": 5, "solution": ["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: AAoBoooCBoooCDDoEFFFoEGGG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D<3,Bv1,Bv1,A>3\n"]}} {"board": "BAAoCBDEECoDFFFGHIooGHIoo", "size": 5, "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 (5×5) solver.\n\nInput: 25-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 5x5\nBoard: BAAoCBDEECoDFFFGHIooGHIoo\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": "BBBoCoAAoCDooEEDFFGGDoHHH", "size": 5, "moves": 7, "solution": ["B>1", "D^2", "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: BBBoCoAAoCDooEEDFFGGDoHHH\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nB>1,D^2,E<1,F<1,G<1,Dv2,A>2\n"]}} {"board": "BAACoBoDCoBoDEEoooFFGGGoo", "size": 5, "moves": 9, "solution": ["Bv1", "A<1", "D^1", "E<2", "F<2", "Cv3", "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: BAACoBoDCoBoDEEoooFFGGGoo\nOptimal length (moves): 9\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A<1,D^1,E<2,F<2,Cv3,D>2,Bv1,A>3\n"]}} {"board": "BBBoCAAooCooooCDEEFFDGGoo", "size": 5, "moves": 6, "solution": ["A>1", "D^2", "E<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: BBBoCAAooCooooCDEEFFDGGoo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,D^2,E<1,F<1,Cv2,A>2\n"]}} {"board": "BCCCDBoAADBooEEoFFGGHHIII", "size": 5, "moves": 5, "solution": ["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: BCCCDBoAADBooEEoFFGGHHIII\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,F<1,G<1,Dv2,A>1\n"]}} {"board": "oAABCDDoBCoEFFCoEoooooGGo", "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: oAABCDDoBCoEFFCoEoooooGGo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Ev1,E<1,Bv1,A>2\n"]}} {"board": "AAoBoCooBoCDDDEFFGoEooGHH", "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: AAoBoCooBoCDDDEFFGoEooGHH\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": "AABCoDDBCEFGHHEFGooEooIIo", "size": 5, "moves": 6, "solution": ["Fv1", "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: AABCoDDBCEFGHHEFGooEooIIo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nFv1,Fv1,F<2,Bv1,Bv1,A>3\n"]}} {"board": "AABCDooBCDoEEFooGoFHoGooH", "size": 5, "moves": 6, "solution": ["Dv1", "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: AABCDooBCDoEEFooGoFHoGooH\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,E<1,Bv1,Fv1,Bv1,A>3\n"]}} {"board": "BAACoBDoCoEDFFFEoGHHooGII", "size": 5, "moves": 5, "solution": ["Dv2", "Dv1", "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: BAACoBDoCoEDFFFEoGHHooGII\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv2,Dv1,D<2,Cv1,A>2\n"]}} {"board": "BBBCooAACDooEEDooooDFFoGG", "size": 5, "moves": 5, "solution": ["E<1", "Cv2", "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: BBBCooAACDooEEDooooDFFoGG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Cv2,G<1,Cv1,A>2\n"]}} {"board": "BCCCDBooEDAAoEoFFFoooGGHH", "size": 5, "moves": 5, "solution": ["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: BCCCDBooEDAAoEoFFFoooGGHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,Bv1,B<1,E^1,A>2\n"]}} {"board": "oBCCCDBEFoDoEFoAAoFGHHooG", "size": 5, "moves": 5, "solution": ["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: oBCCCDBEFoDoEFoAAoFGHHooG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,B<2,F^1,G^2,A>3\n"]}} {"board": "BBBooAAoCDEFFCDEoGGGooHHH", "size": 5, "moves": 6, "solution": ["A>1", "E^1", "G<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: BBBooAAoCDEFFCDEoGGGooHHH\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,E^1,G<2,Dv1,Dv1,A>2\n"]}} {"board": "BCCCDBoEFDAAEFGoooHGoIIHo", "size": 5, "moves": 8, "solution": ["Gv1", "I<1", "Ev2", "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: BCCCDBoEFDAAEFGoooHGoIIHo\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nGv1,I<1,Ev2,A>1,Bv1,B<1,E^1,A>2\n"]}} {"board": "oBBBCDoAACDoEEEDFFGGoooHH", "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: oBBBCDoAACDoEEEDFFGGoooHH\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": "AABCoooBCDEFFoDEGGGDoHHII", "size": 5, "moves": 5, "solution": ["Cv1", "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: AABCoooBCDEFFoDEGGGDoHHII\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Ev1,E<1,Bv1,A>3\n"]}} {"board": "oBooCoBAACDEEFFDoGHoIIGHo", "size": 5, "moves": 5, "solution": ["D^2", "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: oBooCoBAACDEEFFDoGHoIIGHo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,E<1,F<1,Dv2,A>1\n"]}} {"board": "AABCoooBCooDEEoFDoGHFooGH", "size": 5, "moves": 5, "solution": ["Dv1", "D<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: AABCoooBCooDEEoFDoGHFooGH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,D<2,Bv1,Bv1,A>3\n"]}} {"board": "AAooBoCooBoCDDBEEFGGooFoo", "size": 5, "moves": 7, "solution": ["A>2", "C^1", "D<2", "F^2", "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: AAooBoCooBoCDDBEEFGGooFoo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,C^1,D<2,F^2,G<1,Cv1,A>1\n"]}} {"board": "AABCoDDBCoooEFFGGEoHooooH", "size": 5, "moves": 5, "solution": ["Ev1", "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: AABCoDDBCoooEFFGGEoHooooH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,E<3,Bv1,Bv1,A>3\n"]}} {"board": "oBoCCCoBoooooooooooooooooooooDooAAoD", "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: oBoCCCoBoooooooooooooooooooooDooAAoD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>2\n"]}} {"board": "ooAAoBoCCCoBDDDooBEEoFGoooHFGoooHFII", "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: ooAAoBoCCCoBDDDooBEEoFGoooHFGoooHFII\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "ooBCCCooBDDDoooAAEFFoooEoooGoEoooGoo", "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: ooBCCCooBDDDoooAAEFFoooEoooGoEoooGoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,A>1\n"]}} {"board": "ooooBoooooBoooooBoCAADooCEFDooCEFDGG", "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: ooooBoooooBoooooBoCAADooCEFDooCEFDGG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^3,A>3\n"]}} {"board": "BCCCooBoDDDEoFFFoEooAAoEGGoHIIoJJHoo", "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: BCCCooBoDDDEoFFFoEooAAoEGGoHIIoJJHoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,A>2\n"]}} {"board": "BBBooooooCoooAACoooooooooooooDoooooD", "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: BBBooooooCoooAACoooooooooooooDoooooD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>3\n"]}} {"board": "oBoooooBoooCooAAoCoooooCoDoEEooDoooo", "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: oBoooooBoooCooAAoCoooooCoDoEEooDoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,A>2\n"]}} {"board": "ooBBBooooooooooooCoDoAACoDooEEoDoooo", "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: ooBBBooooooooooooCoDoAACoDooEEoDoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>1\n"]}} {"board": "oBoooooBCCCooAADoooEoDoFoEoooFoGGGoF", "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: oBoooooBCCCooAADoooEoDoFoEoooFoGGGoF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,A>3\n"]}} {"board": "AABoooCoBoooCoooooooDDEoooooEooooooo", "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: AABoooCoBoooCoooooooDDEoooooEooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "BoAACoBDDECoBooEoFoooEGFHHHoGIoJJoGI", "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: BoAACoBDDECoBooEoFoooEGFHHHoGIoJJoGI\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>2\n"]}} {"board": "oooooooBBBoooooooooooooCoAAooCDDDooC", "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: oooooooBBBoooooooooooooCoAAooCDDDooC\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>3\n"]}} {"board": "oooooooooooBCoAAoBCoooooDDEEEooooooo", "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: oooooooooooBCoAAoBCoooooDDEEEooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,A>2\n"]}} {"board": "oooBBBoooooCDoooECDFooECDFAAEooFoooo", "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: oooBBBoooooCDoooECDFooECDFAAEooFoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,A>2\n"]}} {"board": "AAoooBooCooBDDCoooEECooooFooGGoFooHH", "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: AAoooBooCooBDDCoooEECooooFooGGoFooHH\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "ooooBooooCBoAAoCoooooCoooooooooooooo", "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: ooooBooooCBoAAoCoooooCoooooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,A>4\n"]}} {"board": "ooAAoBooooCBooooCBooooooooooDDoEEooo", "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: ooAAoBooooCBooooCBooooooooooDDoEEooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "AAoBoooooBooooooooooooooCCooooooDDoo", "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: AAoBoooooBooooooooooooooCCooooooDDoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "ooAAoBCDoEEBCDFFooGHoooIGHJJJIGKKKoI", "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: ooAAoBCDoEEBCDFFooGHoooIGHJJJIGKKKoI\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "oAAooBoooCCBoooDoBEEEDFoooooFoooooFo", "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: oAAooBoooCCBoooDoBEEEDFoooooFoooooFo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "oooAABooooCBoDDoCBoEEoCooooFoooGGFHH", "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: oooAABooooCBoDDoCBoEEoCooooFoooGGFHH\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>1\n"]}} {"board": "ooooooooooooooooooBAAoCoBoooCoDDooCo", "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: ooooooooooooooooooBAAoCoBoooCoDDooCo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^3,A>3\n"]}} {"board": "BBBoooCooDDDCooooooooEoooooEoFoooAAF", "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: BBBoooCooDDDCooooooooEoooooEoFoooAAF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,A>1\n"]}} {"board": "ooooooooooooooAAoBCoDDoBCooooBCooooo", "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: ooooooooooooooAAoBCoDDoBCooooBCooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "ooBoooooBoooooBooCoooooCoAAooCDDoooo", "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: ooBoooooBoooooBooCoooooCoAAooCDDoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>3\n"]}} {"board": "oBAAoCoBoooCDDEEEoFFoGGGoHHIIooJJKKo", "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: oBAAoCoBoooCDDEEEoFFoGGGoHHIIooJJKKo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>2\n"]}} {"board": "oooBBBAAoCooooDCooEFDCGGEFDoHIEJJJHI", "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: oooBBBAAoCooooDCooEFDCGGEFDoHIEJJJHI\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>4\n"]}} {"board": "oooooooAAooBoCoooBDCooooDEEEooDooooo", "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: oooooooAAooBoCoooBDCooooDEEEooDooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "oooBooAAoBoooooBCCDoooEEDoFoooDoFoGG", "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: oooBooAAoBoooooBCCDoooEEDoFoooDoFoGG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>4\n"]}} {"board": "oooooooooooooooooooBoooCoBoAACoooooo", "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: oooooooooooooooooooBoooCoBoAACoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>1\n"]}} {"board": "oooBoooAABooCCoBDoooooDooooooooooooo", "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: oooBoooAABooCCoBDoooooDooooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>3\n"]}} {"board": "BCCCDoBEoFDooEoFooGEAAoHGIIIoHGoJJJH", "size": 6, "moves": 2, "solution": ["H^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: BCCCDoBEoFDooEoFooGEAAoHGIIIoHGoJJJH\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nH^3,A>2\n"]}} {"board": "AABoooooBooooooCCCDDEFFoooEoooooEooo", "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: AABoooooBooooooCCCDDEFFoooEoooooEooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "ooBCCCooBDooEoBDooEoooFoAAooFoGGoooo", "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: ooBCCCooBDooEoBDooEoooFoAAooFoGGoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,A>4\n"]}} {"board": "oooBBBoAAooCoDEEoCoDoooCoDFFFooooooo", "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: oooBBBoAAooCoDEEoCoDoooCoDFFFooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>3\n"]}} {"board": "oBBBoCAAoooCoooDooooEDooooEDooooEFFF", "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: oBBBoCAAoooCoooDooooEDooooEDooooEFFF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,A>4\n"]}} {"board": "oooooBoAAooBoooCoooooCoooooCDDoooooo", "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: oooooBoAAooBoooCoooooCoooooCDDoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>3\n"]}} {"board": "AAoooBoCCCoBDDoooBoEEooooooFFFoGGGoo", "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: AAoooBoCCCoBDDoooBoEEooooooFFFoGGGoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oooBBBoCDooooCDoEooCDoEoooAAEoFFoooo", "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: oooBBBoCDooooCDoEooCDoEoooAAEoFFoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,A>2\n"]}} {"board": "ooBCCCooBooooooAADoooooDoooooooEEEoo", "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: ooBCCCooBooooooAADoooooDoooooooEEEoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,A>1\n"]}} {"board": "ooooooooBoooooBoooAABoooCCCooDoooEED", "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: ooooooooBoooooBoooAABoooCCCooDoooEED\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,A>4\n"]}} {"board": "oAAooBoooooBCoooooCoDoooooDoooooDooo", "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: oAAooBoooooBCoooooCoDoooooDoooooDooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "ooAAoBoooooBooCCoBDEEEooDoooooDoooFF", "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: ooAAoBoooooBooCCoBDEEEooDoooooDoooFF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "oooooooooooBoooAABCoDDEBCoooEoooooEo", "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: oooooooooooBoooAABCoDDEBCoooEoooooEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>1\n"]}} {"board": "ooooooooooooooAAoBooCooBooCoooooCooo", "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: ooooooooooooooAAoBooCooBooCoooooCooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^2,A>2\n"]}} {"board": "ooooooAAooBoooooBooooCoooDoCoooDoooo", "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: ooooooAAooBoooooBooooCoooDoCoooDoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "ooBoooooBoCoooAACoooooDDoooEEooooooo", "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: ooBoooooBoCoooAACoooooDDoooEEooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>2\n"]}} {"board": "BoooCoBoDoCoooDoEooooFEoGoHFoIGoHAAI", "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: BoooCoBoDoCoooDoEooooFEoGoHFoIGoHAAI\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nI^1,A>1\n"]}} {"board": "oooBBBCDDDoECooAAECooooEoooFFoGGoooo", "size": 6, "moves": 2, "solution": ["Ev2", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBCDDDoECooAAECooooEoooFFoGGoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv2,A>1\n"]}} {"board": "ooBBBCoAAooCoooooooDoooooDooEEoDoooo", "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: ooBBBCoAAooCoooooooDoooooDooEEoDoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,A>3\n"]}} {"board": "oooooooooBoooooBoooooBoooCCCDoooAADo", "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: oooooooooBoooooBoooooBoooCCCDoooAADo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>2\n"]}} {"board": "oooBBBooooCoAAooCooooDoEooFDoEooFDoo", "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: oooBBBooooCoAAooCooooDoEooFDoEooFDoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,A>4\n"]}} {"board": "ooooBoooooBooAAoBoooooooCCCooooooooo", "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: ooooBoooooBooAAoBoooooooCCCooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv3,A>3\n"]}} {"board": "oooAABCCCDoBoEEDooFFFGGGHHoIoooooIJJ", "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: oooAABCCCDoBoEEDooFFFGGGHHoIoooooIJJ\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>1\n"]}} {"board": "oooooBooAAoBoCoDDBoCoooooooooooooooo", "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: oooooBooAAoBoCoDDBoCoooooooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>2\n"]}} {"board": "ooooooooAAoBoooooBooCCDoooooDoEEEoDo", "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: ooooooooAAoBoooooBooCCDoooooDoEEEoDo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "oooooooooAABoooooBCooooBCoDoooCoDEEE", "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: oooooooooAABoooooBCooooBCoDoooCoDEEE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>1\n"]}} {"board": "oBBBoooooCoooooCoooDoCoEoDoooEoDAAoE", "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: oBBBoooooCoooooCoooDoCoEoDoooEoDAAoE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,A>2\n"]}} {"board": "AAoBooCCoBDEFooBDEFGGoHoFoooHIooooHI", "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: AAoBooCCoBDEFooBDEFGGoHoFoooHIooooHI\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "BoAACoBDooCoBDoECooooEoooooFGGHHoFoo", "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: BoAACoBDooCoBDoECooooEoooooFGGHHoFoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>2\n"]}} {"board": "oooooooooooooAAoBoCoooBoCoooooCooooo", "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: oooooooooooooAAoBoCoooBoCoooooCooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^2,A>3\n"]}} {"board": "ooBBBoooAAoCoooooCoDEFFoGDEHHHGDoooo", "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: ooBBBoooAAoCoooooCoDEFFoGDEHHHGDoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>2\n"]}} {"board": "AABoooooBoooCCoDDDEoFGooEoFGHHEoFGII", "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: AABoooooBoooCCoDDDEoFGooEoFGHHEoFGII\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "ooooooooBAACooBDoCEooDooEooFFoEooooo", "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: ooooooooBAACooBDoCEooDooEooFFoEooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>1\n"]}} {"board": "oBBBooooooCoooAACoooDDDEoooooEoFFooE", "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: oBBBooooooCoooAACoooDDDEoooooEoFFooE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>2\n"]}} {"board": "ooAABoooooBoooooooooooCCoDDDEFooooEF", "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: ooAABoooooBoooooooooooCCoDDDEFooooEF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "BoooooBoooooBooooCoooooCAAoooCooDDDo", "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: BoooooBoooooBooooCoooooCAAoooCooDDDo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>4\n"]}} {"board": "oBoAACoBDDoCoBEEFoGGoHFIJJoHoIooKKKo", "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: oBoAACoBDDoCoBEEFoGGoHFIJJoHoIooKKKo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>1\n"]}} {"board": "ooooooAAoooBoooooBoooooooooooooCCDDD", "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: ooooooAAoooBoooooBoooooooooooooCCDDD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "ooooBCoDooBCoDooBooDAAEoooooEooooooo", "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: ooooBCoDooBCoDooBooDAAEoooooEooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,A>2\n"]}} {"board": "ooooBoooooBoooCCCDoEAAoDoEoooDoEoooo", "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: ooooBoooooBoooCCCDoEAAoDoEoooDoEoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,A>2\n"]}} {"board": "ooooooooAAoBCoooDBCEEEDoooFFoooooGGG", "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: ooooooooAAoBCoooDBCEEEDoooFFoooooGGG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "oooooBCCCooBoAAooBooooooooooDoooooDo", "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: oooooBCCCooBoAAooBooooooooooDoooooDo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv3,A>3\n"]}} {"board": "AAoBoooooBCCoooBooooDoEEooDFFoGGGooo", "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: AAoBoooooBCCoooBooooDoEEooDFFoGGGooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oooooooooooooAAooBCooooBCooooBoooooo", "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: oooooooooooooAAooBCooooBCooooBoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "oAABoooCCBoooDDBoEoooooEFFFoooooGGGo", "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: oAABoooCCBoooDDBoEoooooEFFFoooooGGGo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "ooooBCooooBCoAAoBooooooooooooooooooo", "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: ooooBCooooBCoAAoBooooooooooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv3,A>3\n"]}} {"board": "oooooooAAoBoCoooBoCoDDBoCoooooooEEoo", "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: oooooooAAoBoCoooBoCoDDBoCoooooooEEoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "BBBCoooooCooooooooooooooAAoooDoooooD", "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: BBBCoooooCooooooooooooooAAoooDoooooD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,A>4\n"]}} {"board": "oooBoooooBooCooDoECooDFEGGGDFEoAAoFo", "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: oooBoooooBooCooDoECooDFEGGGDFEoAAoFo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,A>3\n"]}} {"board": "AABoooooBooooooooooooooooCCoDoooooDo", "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: AABoooooBooooooooooooooooCCoDoooooDo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "BoooooBoooooBooooooCAAoDoCoooDoCoooD", "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: BoooooBoooooBooooooCAAoDoCoooDoCoooD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^3,A>2\n"]}} {"board": "ooooooooooBoooooBoAAooBooooooooCCCoo", "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: ooooooooooBoooooBoAAooBooooooooCCCoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,A>4\n"]}} {"board": "ooooBoooooBoooooooooooooCCCoDooAAoDo", "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: ooooBoooooBoooooooooooooCCCoDooAAoDo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>3\n"]}} {"board": "oooooooooooooooBBBoooAACoooooCDDDooo", "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: oooooooooooooooBBBoooAACoooooCDDDooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>1\n"]}} {"board": "ooBCCCAABooooooDDoEFooGoEFHHGoEFIIIo", "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: ooBCCCAABooooooDDoEFooGoEFHHGoEFIIIo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>4\n"]}} {"board": "oAABoooooBooooooooCCCoDoooEEDoooooDo", "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: oAABoooooBooooooooCCCoDoooEEDoooooDo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "oooAABoooCCBoDDDoBEoooooEooFFoEGGHHH", "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: oooAABoooCCBoDDDoBEoooooEooFFoEGGHHH\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>1\n"]}} {"board": "ooooBoCoAABoCoooBoooooooDoooooDEEooo", "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: ooooBoCoAABoCoooBoooooooDoooooDEEooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>2\n"]}} {"board": "oooooooooooooooBBBooAACoDDDoCooooooo", "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: oooooooooooooooBBBooAACoDDDoCooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>2\n"]}} {"board": "oooooooBCDDDEBCoooEFoooGEFAAoGoFoHHH", "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: oooooooBCDDDEBCoooEFoooGEFAAoGoFoHHH\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nG^1,A>2\n"]}} {"board": "ooBooooCBAADoCBooDoooooDooooooEEoooo", "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: ooBooooCBAADoCBooDoooooDooooooEEoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,A>1\n"]}} {"board": "oAAooBooooCBooooCoooooCoooDDDoooEEoo", "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: oAAooBooooCBooooCoooooCoooDDDoooEEoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "ooooooooooooooooBooooCBoAAoCooooooDD", "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: ooooooooooooooooBooooCBoAAoCooooooDD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>4\n"]}} {"board": "oooAABoooooBoooooooooooooooCCCoooooo", "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: oooAABoooooBoooooooooooooooCCCoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>1\n"]}} {"board": "AABooooCBooooCBDDDoCooEEooFoooooFooo", "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: AABooooCBooooCBDDDoCooEEooFoooooFooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "AAoooBCCCooBooooooooooooDoooooDooooo", "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: AAoooBCCCooBooooooooooooDoooooDooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oAAooBoCCooBooooooooDoooooDoooooDooo", "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: oAAooBoCCooBooooooooDoooooDoooooDooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "AAoooBCDoooBCDEEEBCDFFFoooGHHoooGoII", "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: AAoooBCDoooBCDEEEBCDFFFoooGHHoooGoII\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "ooooBooCCCBoDDDoooooooEoooooEooAAoEo", "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: ooooBooCCCBoDDDoooooooEoooooEooAAoEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,A>3\n"]}} {"board": "ooBBBoooooooAAooCoooooCDoEFFoDoEGGGD", "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: ooBBBoooooooAAooCoooooCDoEFFoDoEGGGD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>4\n"]}} {"board": "oBoCoooBoCoDoooooDEooAADEFoGGGEFHHHo", "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: oBoCoooBoCoDoooooDEooAADEFoGGGEFHHHo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>1\n"]}} {"board": "oBoooCoBDooCoBDoooooDoEoFFFoEoAAooEo", "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: oBoooCoBDooCoBDoooooDoEoFFFoEoAAooEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,A>4\n"]}} {"board": "oooBoooAABooooooCCoooooooooooooDDooo", "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: oooBoooAABooooooCCoooooooooooooDDooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>3\n"]}} {"board": "ooooBoooooBoCCCooooooDoooooDoooAADoo", "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: ooooBoooooBoCCCooooooDoooooDoooAADoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>3\n"]}} {"board": "ooooooBoooooBooAACBooooCooooooooDDDo", "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: ooooooBoooooBooAACBooooCooooooooDDDo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>1\n"]}} {"board": "BBBoooooooooooooooAAoooCooooDCEEooDC", "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: BBBoooooooooooooooAAoooCooooDCEEooDC\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^3,A>4\n"]}} {"board": "oooooooooooooAABooCDDBEECoooFoCoooFo", "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: oooooooooooooAABooCDDBEECoooFoCoooFo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^2,A>3\n"]}} {"board": "ooooooooBBBooCDooEFCDoGEFoooGEFoAAGo", "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: ooooooooBBBooCDooEFCDoGEFoooGEFoAAGo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nG^1,A>2\n"]}} {"board": "AAoooBoooooBooooooCoooooCoooDDCooooo", "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: AAoooBoooooBooooooCoooooCoooDDCooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oooooooooooBCooooBCAADooCooDoooooEEo", "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: oooooooooooBCooooBCAADooCooDoooooEEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,A>3\n"]}} {"board": "oooooBooCAABooCooBooCoooooooDoooooDo", "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: oooooBooCAABooCooBooCoooooooDoooooDo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>1\n"]}} {"board": "BBBoooooooooAAoooCooDooCooDooEooDooE", "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: BBBoooooooooAAoooCooDooCooDooEooDooE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>4\n"]}} {"board": "oooooooBBBCoooAACooDDoCoEoFFooEooooo", "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: oooooooBBBCoooAACooDDoCoEoFFooEooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,A>2\n"]}} {"board": "oooooooooooooBBBCoooAACooDDoCooooooo", "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: oooooooooooooBBBCoooAACooDDoCooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>2\n"]}} {"board": "BBBoooooooooooooooCooDooCooDooCAADoo", "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: BBBoooooooooooooooCooDooCooDooCAADoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>3\n"]}} {"board": "oooooooooooooAAoBoooooBoCCCooooooooo", "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: oooooooooooooAAoBoooooBoCCCooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^2,A>3\n"]}} {"board": "BAACooBooCooooooooDoEEooDoFoGGDoFooo", "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: BAACooBooCooooooooDoEEooDoFoGGDoFooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>3\n"]}} {"board": "BBBooooooooooooooCAAoooCooDDoCoooEEo", "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: BBBooooooooooooooCAAoooCooDDoCoooEEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>4\n"]}} {"board": "ooooooooooooAAooBoooCoBoooCoooooCooo", "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: ooooooooooooAAooBoooCoBoooCoooooCooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^2,A>4\n"]}} {"board": "oooBBBCCCoooooDoooooDEooooDEoooAAEoo", "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: oooBBBCCCoooooDoooooDEooooDEoooAAEoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,A>3\n"]}} {"board": "oAABoooooBCCDoooooDooEEEDooooooFFFoo", "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: oAABoooooBCCDoooooDooEEEDooooooFFFoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "BCoDDDBCAAoEBCoooEFoGGoEFHHHooFooooo", "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: BCoDDDBCAAoEBCoooEFoGGoEFHHHooFooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,A>2\n"]}} {"board": "ooooooooooBooAAoBoCDooooCDooooCDoooo", "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: ooooooooooBooAAoBoCDooooCDooooCDoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,A>3\n"]}} {"board": "ooooooooooooAABoooooBCCCDDDoEoooooEo", "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: ooooooooooooAABoooooBCCCDDDoEoooooEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^2,A>4\n"]}} {"board": "ooooooBCoDooBCoDooBooDEooAAoEooFFoEo", "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: ooooooBCoDooBCoDooBooDEooAAoEooFFoEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^2,A>3\n"]}} {"board": "oooooooBoooooBAACoDoooCoDEEEFFDooGGG", "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: oooooooBoooooBAACoDoooCoDEEEFFDooGGG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>2\n"]}} {"board": "ooooooooAAoBoCCCoBoDEFoooDEFoooDEFGG", "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: ooooooooAAoBoCCCoBoDEFoooDEFoooDEFGG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "ooooooooooBoooooBoooAABoooCDooooCDoo", "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: ooooooooooBoooooBoooAABoooCDooooCDoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,A>2\n"]}} {"board": "ooAAoBoooooBoooooBoCCCoooooooooooooo", "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: ooAAoBoooooBoooooBoCCCoooooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "ooAABoCoDDBoCooooooEEEFFoooGGGooHHII", "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: ooAABoCoDDBoCooooooEEEFFoooGGGooHHII\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "ooooooooooooBCooooBCAADoBCooDoooooDo", "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: ooooooooooooBCooooBCAADoBCooDoooooDo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^3,A>2\n"]}} {"board": "oooooBoAAooBoCCooBoooDDooooooooooEEo", "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: oooooBoAAooBoCCooBoooDDooooooooooEEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>3\n"]}} {"board": "oooBBBoooCooAAoCooDDoooooooooooooooo", "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: oooBBBoooCooAAoCooDDoooooooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,A>4\n"]}} {"board": "oooBooAAoBooCDDBEECFoooooFooGGoFHHII", "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: oooBooAAoBooCDDBEECFoooooFooGGoFHHII\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>4\n"]}} {"board": "AAoooBCoDDDBCoEEFBGGGoFoHHIIFJKKKooJ", "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: AAoooBCoDDDBCoEEFBGGGoFoHHIIFJKKKooJ\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oooooBCDoooBCDEoFBCDEGFHooEGoHAAoGoo", "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: oooooBCDoooBCDEoFBCDEGFHooEGoHAAoGoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nG^1,A>4\n"]}} {"board": "ooooooooooooAABoooooBCCDoooooDoooooD", "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: ooooooooooooAABoooooBCCDoooooDoooooD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^2,A>4\n"]}} {"board": "oooooooBoooCoBAAoCoBooDDooooooEEoooo", "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: oooooooBoooCoBAAoCoBooDDooooooEEoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>2\n"]}} {"board": "oAABooCooBooCDooEEoDFoGGoDFHHHooFIII", "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: oAABooCooBooCDooEEoDFoGGoDFHHHooFIII\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "oooooBoooAABoooooooooCCoDoooooDooooo", "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: oooooBoooAABoooooooooCCoDoooooDooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>1\n"]}} {"board": "oAAoBoooooBooooooooooooCoooooCoooDDD", "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: oAAoBoooooBooooooooooooCoooooCoooDDD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "AAoBoooooBCDEFFoCDEGHHCDEGIJJJoGIKKK", "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: AAoBoooooBCDEFFoCDEGHHCDEGIJJJoGIKKK\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "BoooooBCCCDoAAooDoEEFFFoGGGooooooHHH", "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: BoooooBCCCDoAAooDoEEFFFoGGGooooooHHH\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>4\n"]}} {"board": "oBoooooBoooooBooooAAoCoooDoCoooDoCoo", "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: oBoooooBoooooBooooAAoCoooDoCoooDoCoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^3,A>4\n"]}} {"board": "oooooooooooooAAoBoooooBCoDDooCoooooo", "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: oooooooooooooAAoBoooooBCoDDooCoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^2,A>3\n"]}} {"board": "oBoooooBoooooooCCCooDEooooDEooAADooo", "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: oBoooooBoooooooCCCooDEooooDEooAADooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>4\n"]}} {"board": "oBBBooooooooooooooooooooAAoooCoooooC", "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: oBBBooooooooooooooooooooAAoooCoooooC\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>4\n"]}} {"board": "oAABooCCCBDDoEoBoooEoooooooooooooooo", "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: oAABooCCCBDDoEoBoooEoooooooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "BBBoooCCCDDDooooooAAoooEoooooEoooooo", "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: BBBoooCCCDDDooooooAAoooEoooooEoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,A>4\n"]}} {"board": "BBBoooooAAoCDooooCDEEoooFoooGGFooHHH", "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: BBBoooooAAoCDooooCDEEoooFoooGGFooHHH\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>2\n"]}} {"board": "BoooooBoCAADBoCEoDFFCEooGoooooGooooo", "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: BoooooBoCAADBoCEoDFFCEooGoooooGooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,A>1\n"]}} {"board": "ooAABoooooBoooooBooooooooooooooCCDDo", "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: ooAABoooooBoooooBooooooooooooooCCDDo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "AAoooBoooCCBDEEFGBDooFGoHIIIJJHKKKoo", "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: AAoooBoooCCBDEEFGBDooFGoHIIIJJHKKKoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "ooooooooooooooooooAAooBooCCCBoooDDoo", "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: ooooooooooooooooooAAooBooCCCBoooDDoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^2,A>4\n"]}} {"board": "oooooBCooooBCDDDEBCAAoEoFFGHHHooGIII", "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: oooooBCooooBCDDDEBCAAoEoFFGHHHooGIII\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,A>3\n"]}} {"board": "oooooooooooooBoooCoBoAACoooooooooooo", "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: oooooooooooooBoooCoBoAACoooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>1\n"]}} {"board": "oooooBoooooBCoooooCoAAoDCooEoDoooEoo", "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: oooooBoooooBCoooooCoAAoDCooEoDoooEoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,A>2\n"]}} {"board": "ooooooooooBoAAooBoCoDoEECoDoooooFFFo", "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: ooooooooooBoAAooBoCoDoEECoDoooooFFFo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,A>4\n"]}} {"board": "ooooooAAoooBoooCCBoooooBooooooooDDoo", "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: ooooooAAoooBoooCCBoooooBooooooooDDoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "BBBooooooooCAAoooCoooooooooooDoooooD", "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: BBBooooooooCAAoooCoooooooooooDoooooD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>4\n"]}} {"board": "ooooBooAAoBoCoooooCooDooCEEDoooooDoo", "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: ooooBooAAoBoCoooooCooDooCEEDoooooDoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>3\n"]}} {"board": "oooooooooBoooooBoooAAooCoooDoCoooDoC", "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: oooooooooBoooooBoooAAooCoooDoCoooDoC\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^3,A>3\n"]}} {"board": "ooBBBoooAACoDDDoCooEEFoGooHFIGJJHoIG", "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: ooBBBoooAACoDDDoCooEEFoGooHFIGJJHoIG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>2\n"]}} {"board": "ooooooAAooBooCCCBoDooEBoDooEoooooEoo", "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: ooooooAAooBooCCCBoDooEBoDooEoooooEoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oooBoooooBoooooooooAAoCoooooCooooDDo", "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: oooBoooooBoooooooooAAoCoooooCooooDDo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>3\n"]}} {"board": "oooooooBooooCBooooCBoAADCooooDoEEEoD", "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: oooooooBooooCBooooCBoAADCooooDoEEEoD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^3,A>1\n"]}} {"board": "ooooooBooCooBAACooBooDDDoooEEEooFFoo", "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: ooooooBooCooBAACooBooDDDoooEEEooFFoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>3\n"]}} {"board": "oooooooooBBBoooooooCDDDEFCAAoEFCoGGG", "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: oooooooooBBBoooooooCDDDEFCAAoEFCoGGG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,A>2\n"]}} {"board": "oooooBoCoooBoCooooooooooDoooEoDoAAEo", "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: oooooBoCoooBoCooooooooooDoooEoDoAAEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,A>2\n"]}} {"board": "BCCCooBoDDDoBoAAoEoFFFoEoGGooEoooHHo", "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: BCCCooBoDDDoBoAAoEoFFFoEoGGooEoooHHo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,A>2\n"]}} {"board": "oAABooCDDBoECooooEoooFFFoooGHHoooGoo", "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: oAABooCDDBoECooooEoooFFFoooGHHoooGoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "oBBBooCoooooCoDDDEoFGAAEHFGooEHFGoII", "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: oBBBooCoooooCoDDDEoFGAAEHFGooEHFGoII\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^2,A>1\n"]}} {"board": "ooooooBoooooBAACooBooCoooooCooooooDD", "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: ooooooBoooooBAACooBooCoooooCooooooDD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>3\n"]}} {"board": "BoooooBooooooCCCDoooooDoooAADooooooo", "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: BoooooBooooooCCCDoooooDoooAADooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>2\n"]}} {"board": "BBBoCoooooCoDDDoCoEAAooFEooooFEooooF", "size": 6, "moves": 2, "solution": ["F^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: BBBoCoooooCoDDDoCoEAAooFEooooFEooooF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^3,A>3\n"]}} {"board": "ooooooooooooBoAACoBDooCEBDoooEoDFFoo", "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: ooooooooooooBoAACoBDooCEBDoooEoDFFoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>2\n"]}} {"board": "AAoooBooCCoBDEEooBDFooooDFGHHHooGIIo", "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: AAoooBooCCoBDEEooBDFooooDFGHHHooGIIo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oBBBooooCCCDoooooDooAAoDoooooooEEEoo", "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: oBBBooooCCCDoooooDooAAoDoooooooEEEoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>2\n"]}} {"board": "oooooooBoooooBooCooAAoCoDooEEEDooFFF", "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: oooooooBoooooBooCooAAoCoDooEEEDooFFF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>3\n"]}} {"board": "oAAoBoooCoBoooCoBooDEooooDEoFFoDGGoo", "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: oAAoBoooCoBoooCoBooDEooooDEoFFoDGGoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "oooBoCDDDBoCEooBooEFFFGoEHAAGooHIIGo", "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: oooBoCDDDBoCEooBooEFFFGoEHAAGooHIIGo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nG^2,A>2\n"]}} {"board": "ooAABoooooBoCCCooooooDDDEoooFFEGGGoo", "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: ooAABoooooBoCCCooooooDDDEoooFFEGGGoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "oooooooAABooCCCBooDEEoFGDoHHFGDIIIFG", "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: oooooooAABooCCCBooDEEoFGDoHHFGDIIIFG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "BBBooooooCooAAoCooDooCooDoooEEDooooo", "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: BBBooooooCooAAoCooDooCooDoooEEDooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,A>4\n"]}} {"board": "oooooooooBoooAABoooooBCCooooooDDDooo", "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: oooooooooBoooAABoooooBCCooooooDDDooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>3\n"]}} {"board": "BBBoooooooCDooooCDAAooCooooEEEooFFoo", "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: BBBoooooooCDooooCDAAooCooooEEEooFFoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>4\n"]}} {"board": "BBBooooCCCoooAAoDoEEFFDoooooooGGGHHH", "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: BBBooooCCCoooAAoDoEEFFDoooooooGGGHHH\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,A>3\n"]}} {"board": "ooAABoCCoDBooEFDoGoEFooGHEFooGHooIII", "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: ooAABoCCoDBooEFDoGoEFooGHEFooGHooIII\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "oBBBoooCAADoECooDFECGooFoHGIIooHGJJJ", "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: oBBBoooCAADoECooDFECGooFoHGIIooHGJJJ\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,A>2\n"]}} {"board": "oooooooooooooBCooooBCooDoBEEEDAAoooD", "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: oooooooooooooBCooooBCooDoBEEEDAAoooD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>4\n"]}} {"board": "oooBBBoCCCoooAADoooooDEFGoooEFGoooEo", "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: oooBBBoCCCoooAADoooooDEFGoooEFGoooEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,A>3\n"]}} {"board": "ooAABoooCoBoooCDBooEFDoooEFDGGooFooo", "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: ooAABoooCoBoooCDBooEFDoooEFDGGooFooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "oooooooooBBBooAACoooDECoFGDECoFGoEoo", "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: oooooooooBBBooAACoooDECoFGDECoFGoEoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>2\n"]}} {"board": "AAoBoooooBCoDDDBCoEoooFFEooGGGEoHHoo", "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: AAoBoooooBCoDDDBCoEoooFFEooGGGEoHHoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oooooooBoAACoBDooCooDooCoEoFFooEooGG", "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: oooooooBoAACoBDooCooDooCoEoFFooEooGG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>1\n"]}} {"board": "ooooooAAoBooCCoBoooooBoDoooooDoooEEo", "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: ooooooAAoBooCCoBoooooBoDoooooDoooEEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oooAABoooooBCooooBCoooooCooooooDDDoo", "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: oooAABoooooBCooooBCoooooCooooooDDDoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>1\n"]}} {"board": "ooAABoCCDoBoooDoBoooEEoooooooooooooo", "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: ooAABoCCDoBoooDoBoooEEoooooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "oooooooooBoooooBooCooooDCooAADCooooD", "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: oooooooooBoooooBooCooooDCooAADCooooD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,A>1\n"]}} {"board": "BooooCBoAAoCDDDooCEoooooEoooooEFFFoo", "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: BooooCBoAAoCDDDooCEoooooEoooooEFFFoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,A>2\n"]}} {"board": "ooooBooAAoBoooCoooDoCEooDoCEoFDooEoF", "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: ooooBooAAoBoooCoooDoCEooDoCEoFDooEoF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>3\n"]}} {"board": "oooBBBoooooCAAoooCoooooCDoooooDooooo", "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: oooBBBoooooCAAoooCoooooCDoooooDooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,A>4\n"]}} {"board": "BooCCCBAADooBooDoooooooooEEFFFoGGooo", "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: BooCCCBAADooBooDoooooooooEEFFFoGGooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,A>3\n"]}} {"board": "oooBBBCooDooCooDooEooDoFEoAAoFoooooF", "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: oooBBBCooDooCooDooEooDoFEoAAoFoooooF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^2,A>2\n"]}} {"board": "oooooBoAAooBCCoDooEEEDooFFoDoooooGGG", "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: oooooBoAAooBCCoDooEEEDooFFoDoooooGGG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>3\n"]}} {"board": "oBBBooooCCCoAAoooDEooooDEoooFFEoGGoo", "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: oBBBooooCCCoAAoooDEooooDEoooFFEoGGoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,A>4\n"]}} {"board": "oooooooBoooooBooooooooCoooooCoooAACo", "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: oooooooBoooooBooooooooCoooooCoooAACo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>2\n"]}} {"board": "BBBoooooooooooooCoAAooCoooDoooooDooo", "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: BBBoooooooooooooCoAAooCoooDoooooDooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>4\n"]}} {"board": "oooAABoCCooBooooooooooDDoooooooooooo", "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: oooAABoCCooBooooooooooDDoooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>1\n"]}} {"board": "ooooooooooooooBooCooBooCDoAAoCDooooo", "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: ooooooooooooooBooCooBooCDoAAoCDooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>2\n"]}} {"board": "oooBBBAAoooCoDoooCoDoooooDooooooEEoo", "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: oooBBBAAoooCoDoooCoDoooooDooooooEEoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>4\n"]}} {"board": "oooooooBBBooAAoooCoooooCoooooCoooooo", "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: oooooooBBBooAAoooCoooooCoooooCoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>4\n"]}} {"board": "oBBBoooAAoCoooooCoooooooooooooooDDDo", "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: oBBBoooAAoCoooooCoooooooooooooooDDDo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>3\n"]}} {"board": "ooooooooooBoooAABoooCDBEooCDoEooCooE", "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: ooooooooooBoooAABoooCDBEooCDoEooCooE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>2\n"]}} {"board": "AAooBooCCCBoDDDoooEooooFEoGGGFEHHooF", "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: AAooBooCCCBoDDDoooEooooFEoGGGFEHHooF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "ooooooooooooooAAoBoooooBooCoDDooCooo", "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: ooooooooooooooAAoBoooooBooCoDDooCooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^2,A>2\n"]}} {"board": "ooooooBBBooooooooooooAACDEEooCDFFooo", "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: ooooooBBBooooooooooooAACDEEooCDFFooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>1\n"]}} {"board": "ooooooooooooooBBBCooAAoCoooooCoooDDD", "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: ooooooooooooooBBBCooAAoCoooooCoooDDD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>2\n"]}} {"board": "ooooooooBoooooBCCCooAADoooooDoooEEoo", "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: ooooooooBoooooBCCCooAADoooooDoooEEoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,A>2\n"]}} {"board": "oooooooAAoBoooooBoooooooooCooDooCooD", "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: oooooooAAoBoooooBoooooooooCooDooCooD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "ooooooAAoooBCCDDoBEFGHHoEFGoooEFGooo", "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: ooooooAAoooBCCDDoBEFGHHoEFGoooEFGooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oBoooCoBoAACoBDDoCEEEooooFooGooFooGo", "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: oBoooCoBoAACoBDDoCEEEooooFooGooFooGo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,A>1\n"]}} {"board": "ooooooAABooooCBDDDoCoooooCEoooooEooo", "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: ooooooAABooooCBDDDoCoooooCEoooooEooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "BoAAoCBoDDECFFFoEooGGoEooHoIIIoHooJJ", "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: BoAAoCBoDDECFFFoEooGGoEooHoIIIoHooJJ\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>2\n"]}} {"board": "ooooooooAAoBoCoooBoCDoEBooDFEoooDFEo", "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: ooooooooAAoBoCoooBoCDoEBooDFEoooDFEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "oooooBoooCoBoAACoooooCDDoooooooooooo", "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: oooooBoooCoBoAACoooooCDDoooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,A>3\n"]}} {"board": "oooooooAAooBoooooBCDoEEBCDoFGoCDoFGo", "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: oooooooAAooBoooooBCDoEEBCDoFGoCDoFGo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "oooooooooooooBoooooBoAACooooDCooooDC", "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: oooooooooooooBoooooBoAACooooDCooooDC\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^3,A>1\n"]}} {"board": "ooooBoAAooBoooooooooooooCCoDDDoooooo", "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: ooooBoAAooBoooooooooooooCCoDDDoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>4\n"]}} {"board": "oAAooBoCDDoBoCoooBoCoooooooooEoooooE", "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: oAAooBoCDDoBoCoooBoCoooooooooEoooooE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "ooooooAAoBoooooBCoooooCoooooCoDDoooo", "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: ooooooAAoBoooooBCoooooCoooooCoDDoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oooooBoooooBoooAABooCoooooCDDooooEEo", "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: oooooBoooooBoooAABooCoooooCDDooooEEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv3,A>1\n"]}} {"board": "AABoooooBCCDoEBoFDoEooFooooooooooooo", "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: AABoooooBCCDoEBoFDoEooFooooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "BBBooooooCoooooCDooooCDoooAADoooEEoo", "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: BBBooooooCoooooCDooooCDoooAADoooEEoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>2\n"]}} {"board": "oooooooooooBoAAooBCDooEECDooooCDoFFF", "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: oooooooooooBoAAooBCDooEECDooooCDoFFF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,A>3\n"]}} {"board": "ooooooAABoooCoBoooCooDDDCEEEoFoooGGF", "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: ooooooAABoooCoBoooCooDDDCEEEoFoooGGF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oooooooooooooAAooBooCCoBoooDDDoooEEE", "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: oooooooooooooAAooBooCCoBoooDDDoooEEE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^2,A>3\n"]}} {"board": "ooooooooooBooAAoBooCooBooCDooooCDooo", "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: ooooooooooBooAAoBooCooBooCDooooCDooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>3\n"]}} {"board": "ooBBBooooooCoooooCDAAooCDooEEEDFFGGG", "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: ooBBBooooooCoooooCDAAooCDooEEEDFFGGG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>3\n"]}} {"board": "ooooooBoAACoBoooCooDDDCooooooooooEEo", "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: ooooooBoAACoBoooCooDDDCooooooooooEEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>2\n"]}} {"board": "ooooooBCoDooBCoDoooCEoooAAEoooooEooo", "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: ooooooBCoDooBCoDoooCEoooAAEoooooEooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^2,A>4\n"]}} {"board": "oBCooooBCDDDoBCooooAAoEooFFFEooooooo", "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: oBCooooBCDDDoBCooooAAoEooFFFEooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,A>3\n"]}} {"board": "oooooooBoooCoBoooCoBooooooDoooAADooo", "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: oooooooBoooCoBoooCoBooooooDoooAADooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>4\n"]}} {"board": "oooooooooBoCoooBoCoooAACDoooooDooooo", "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: oooooooooBoCoooBoCoooAACDoooooDooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>1\n"]}} {"board": "ooooooBoooooBooooooooooooooAACoooDDC", "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: ooooooBoooooBooooooooooooooAACoooDDC\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>1\n"]}} {"board": "BBBooooooooCooAAoCoooooDoooooDoooooD", "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: BBBooooooooCooAAoCoooooDoooooDoooooD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>2\n"]}} {"board": "BBBCoooooCoooAAooDoooooDEEEooooFFooo", "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: BBBCoooooCoooAAooDoooooDEEEooooFFooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,A>3\n"]}} {"board": "ooooooooooooBooCooBooCooooDCooAADooo", "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: ooooooooooooBooCooBooCooooDCooAADooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>4\n"]}} {"board": "ooooooAABoooooBoCooDBoCooDoooooDoooo", "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: ooooooAABoooooBoCooDBoCooDoooooDoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oooooooAABoooooBoooooBCCooooooDDoooo", "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: oooooooAABoooooBoooooBCCooooooDDoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "oooooBoooooBooooCoAAooCoooDDooooEEoo", "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: oooooBoooooBooooCoAAooCoooDDooooEEoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>4\n"]}} {"board": "AAoBooCCoBoooooBoooooooDooEEoDoFFooD", "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: AAoBooCCoBoooooBoooooooDooEEoDoFFooD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "ooAABoCoDDBECFoooECFoooEGFHIIIGoHoJJ", "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: ooAABoCoDDBECFoooECFoooEGFHIIIGoHoJJ\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "oooooooooooooooooooAABoooooBoCDDoBoC", "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: oooooooooooooooooooAABoooooBoCDDoBoC\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^3,A>3\n"]}} {"board": "ooBoooooBoooooBoooCoooooCoAADoooooDo", "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: ooBoooooBoooooBoooCoooooCoAADoooooDo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,A>2\n"]}} {"board": "oooooooBBBooCDoEooCDoEoFoooEoFoAAooF", "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: oooooooBBBooCDoEooCDoEoFoooEoFoAAooF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,A>3\n"]}} {"board": "oAAoBooCooBDECFFoDECooGGooHoIJooHoIJ", "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: oAAoBooCooBDECFFoDECooGGooHoIJooHoIJ\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "oAAoBooooCBooDDCBoEooooFEooooFEooooF", "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: oAAoBooooCBooDDCBoEooooFEooooFEooooF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "ooooBoCoooBoCooooDooEAADFFEooDooEGGo", "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: ooooBoCoooBoCooooDooEAADFFEooDooEGGo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,A>1\n"]}} {"board": "ooAABoCoooBoCDDDooooEEEooooooooooooo", "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: ooAABoCoooBoCDDDooooEEEooooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "oBBBoCoooAACoooooCDooEooDooEooDooEoo", "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: oBBBoCoooAACoooooCDooEooDooEooDooEoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,A>1\n"]}} {"board": "oooooBoooooBoAAooBoCCoooooooDoooooDo", "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: oooooBoooooBoAAooBoCCoooooooDoooooDo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv3,A>3\n"]}} {"board": "oAAooBCCCooBoDoooBEDooFoEGGoFoEoHHFo", "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: oAAooBCCCooBoDoooBEDooFoEGGoFoEoHHFo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "oBBBoooooCCCooooooooooDoAAooDooEEFFF", "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: oBBBoooooCCCooooooooooDoAAooDooEEFFF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>4\n"]}} {"board": "BBBooooCooDEoCooDEFCoAAEFooooGFooooG", "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: BBBooooCooDEoCooDEFCoAAEFooooGFooooG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,A>1\n"]}} {"board": "oooooBoooAABooooooCCCooooDDEEEoooooo", "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: oooooBoooAABooooooCCCooooDDEEEoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>1\n"]}} {"board": "oBBBooAAooCooDDDCooooECooFFEoooooEGG", "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: oBBBooAAooCooDDDCooooECooFFEoooooEGG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>4\n"]}} {"board": "oooooooooooBCAAooBCDDoEBoFFoEoooGGEo", "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: oooooooooooBCAAooBCDDoEBoFFoEoooGGEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>3\n"]}} {"board": "oooooooooooooAAoBoCCooBDooEoBDooEooD", "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: oooooooooooooAAoBoCCooBDooEoBDooEooD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "oooooBooAAoBoCCooBoooDDooooEoooooEFF", "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: oooooBooAAoBoCCooBoooDDooooEoooooEFF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>2\n"]}} {"board": "oooBoooooBoooAABooCoooooCooooooooooo", "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: oooBoooooBoooAABooCoooooCooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv3,A>3\n"]}} {"board": "oAAooBooooCBoooDCoooEDFoooEoFoGGGooo", "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: oAAooBooooCBoooDCoooEDFoooEoFoGGGooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "ooBoooooBCCCooBoooooooDEoFooDEoFAAoE", "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: ooBoooooBCCCooBoooooooDEoFooDEoFAAoE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,A>2\n"]}} {"board": "oooooooooooooooooBAAoooBooooCCDDoooo", "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: oooooooooooooooooBAAoooBooooCCDDoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,A>4\n"]}} {"board": "oooooooooAABoCoooBoCooooooDDoooooooo", "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: oooooooooAABoCoooBoCooooooDDoooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>1\n"]}} {"board": "oooooooBoooCoBoAACoBoooooooooooooooo", "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: oooooooBoooCoBoAACoBoooooooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>1\n"]}} {"board": "ooAAoBoCCooBoDooooEDoooFEDGGGFEooooF", "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: ooAAoBoCCooBoDooooEDoooFEDGGGFEooooF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "oBCCCooBoooooBoooDoEoAADoEFFoDoEooGG", "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: oBCCCooBoooooBoooDoEoAADoEFFoDoEooGG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,A>1\n"]}} {"board": "ooooooooAABooCooBooCooBooDEooooDEooo", "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: ooooooooAABooCooBooCooBooDEooooDEooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "oooBoooAABooCCoBoooooooooDDooooEEEoo", "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: oooBoooAABooCCoBoooooooooDDooooEEEoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>3\n"]}} {"board": "ooooooooooooooBoooooBooCoAAooCDDDEEE", "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: ooooooooooooooBoooooBooCoAAooCDDDEEE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>3\n"]}} {"board": "AAooBoooCCBoooooBooooooDoooooDoooooo", "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: AAooBoooCCBoooooBooooooDoooooDoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "BoooooBoooooooooooCAAooDCooEoDCooEoD", "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: BoooooBoooooooooooCAAooDCooEoDCooEoD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^3,A>3\n"]}} {"board": "oBoooCDBoEoCDBoEooooFFFooAAooGoooHHG", "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: oBoooCDBoEoCDBoEooooFFFooAAooGoooHHG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nG^2,A>3\n"]}} {"board": "AAoooBCCCooBDooEooDooEoFDoooGFooooGo", "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: AAoooBCCCooBDooEooDooEoFDoooGFooooGo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "ooooBoooooBCoooooCoooAACooooooDDoooo", "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: ooooBoooooBCoooooCoooAACooooooDDoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>1\n"]}} {"board": "BoooooBoooooooooooooooCoooAACoDDooCo", "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: BoooooBoooooooooooooooCoooAACoDDooCo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>2\n"]}} {"board": "oAAooBooCooBooCooBoDCooooDoEEEoooooo", "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: oAAooBooCooBooCooBoDCooooDoEEEoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "oooBBBoooAACDDDooCEEEFGCHHHFGooooFGo", "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: oooBBBoooAACDDDooCEEEFGCHHHFGooooFGo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>1\n"]}} {"board": "oAAooBooooCBooooCBoooooooDEooooDEooo", "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: oAAooBooooCBooooCBoooooooDEooooDEooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "ooooooooooooBBBoooooAACoooDDCoEEooCo", "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: ooooooooooooBBBoooooAACoooDDCoEEooCo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^3,A>2\n"]}} {"board": "ooooBoooooBooooooCoooAACDDooooooEEoo", "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: ooooBoooooBooooooCoooAACDDooooooEEoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>1\n"]}} {"board": "oooBBBoooooooooooCoAAooCDoooooDooooo", "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: oooBBBoooooooooooCoAAooCDoooooDooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>3\n"]}} {"board": "oooooBoAAooBoooooBoooooooooCoooooCoo", "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: oooooBoAAooBoooooBoooooooooCoooooCoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>3\n"]}} {"board": "BoooooBooooCBAAooCooooDCEoooDoEoFFDo", "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: BoooooBooooCBAAooCooooDCEoooDoEoFFDo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,A>3\n"]}} {"board": "oBBBooooooCoooooCooAAoCooooDDDoooooo", "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: oBBBooooooCoooooCooAAoCooooDDDoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>3\n"]}} {"board": "oooBBBoooCCCoooooooooooDEEEoFDAAooFo", "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: oooBBBoooCCCoooooooooooDEEEoFDAAooFo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,A>4\n"]}} {"board": "oooooooooBoooCoBoooCoBoDAAoooDoooooD", "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: oooooooooBoooCoBoooCoBoDAAoooDoooooD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,A>4\n"]}} {"board": "oooooooBBBooCAAoDoCoooDEoooooEooFFFE", "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: oooooooBBBooCAAoDoCoooDEoooooEooFFFE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,A>3\n"]}} {"board": "oooBooAAoBoooCCBDDoEoooooEoooooEoooo", "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: oooBooAAoBoooCCBDDoEoooooEoooooEoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>4\n"]}} {"board": "AAoooBoooooBoooCoooooCDEFGGoDEFoooDE", "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: AAoooBoooooBoooCoooooCDEFGGoDEFoooDE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "AAoBoooooBCoDDDoCoooooEEooFFoooooooo", "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: AAoBoooooBCoDDDoCoooooEEooFFoooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "ooooooooAABooooCBoDDDCBooooCoooooooo", "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: ooooooooAABooooCBoDDDCBooooCoooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "oooooBoCDDDBECoAABECoFoooGoFoooGoFoo", "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: oooooBoCDDDBECoAABECoFoooGoFoooGoFoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv3,A>1\n"]}} {"board": "ooooBoooooBCDEooBCDEoFoCGEoFooGAAFoo", "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: ooooBoooooBCDEooBCDEoFoCGEoFooGAAFoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,A>3\n"]}} {"board": "oBooooCBooooCoooooCooooDoooooDoAAooD", "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: oBooooCBooooCoooooCooooDoooooDoAAooD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>3\n"]}} {"board": "ooBoooAABooooooCCCDDooEEoooFFFoooooo", "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: ooBoooAABooooooCCCDDooEEoooFFFoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>4\n"]}} {"board": "oooBoooooBCDoooBCDAAooCoooooooooEEEo", "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: oooBoooooBCDoooBCDAAooCoooooooooEEEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>4\n"]}} {"board": "ooooooooooooAAoBooCooBooCDooooCDoEEE", "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: ooooooooooooAAoBooCooBooCDooooCDoEEE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^2,A>4\n"]}} {"board": "oooooBCooAABCoooooCooooooooDDDooooEE", "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: oooooBCooAABCoooooCooooooooDDDooooEE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>1\n"]}} {"board": "oooAABoCCooBoDDooBoooooooEEFFooooooo", "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: oooAABoCCooBoDDooBoooooooEEFFooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>1\n"]}} {"board": "BCooooBCDooooCDoEooAAoEooooFFFoooooo", "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: BCooooBCDooooCDoEooAAoEooooFFFoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,A>3\n"]}} {"board": "oBCDDDoBCoEFGoooEFGHHHEooIoooJoIoAAJ", "size": 6, "moves": 2, "solution": ["J^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: oBCDDDoBCoEFGoooEFGHHHEooIoooJoIoAAJ\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nJ^1,A>1\n"]}} {"board": "AABooooCBoooDCoEEEDCooooFooGGoFoooHH", "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: AABooooCBoooDCoEEEDCooooFooGGoFoooHH\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "ooBoooCoBooDCoAAoDoooooDoooooooooooo", "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: ooBoooCoBooDCoAAoDoooooDoooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv2,A>2\n"]}} {"board": "ooAABooCCoBDEEEoBDoooooDFFGGoooooHHH", "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: ooAABooCCoBDEEEoBDoooooDFFGGoooooHHH\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "oooooBooooCBooooCBoAAoCooooDDDoooooo", "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: oooooBooooCBooooCBoAAoCooooDDDoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>3\n"]}} {"board": "ooooooooBoooooBoooAABooooCCoooooooDD", "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: ooooooooBoooooBoooAABooooCCoooooooDD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,A>4\n"]}} {"board": "oooooooooBoooAABooCDoEEoCDooooCooFFo", "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: oooooooooBoooAABooCDoEEoCDooooCooFFo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,A>3\n"]}} {"board": "ooAABoCoooBoCoDDBECooFoEoGoFoEoGoFHH", "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: ooAABoCoooBoCoDDBECooFoEoGoFoEoGoFHH\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "oBCCCooBooooooAAoDoooooDoooooooooooo", "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: oBCCCooBooooooAAoDoooooDoooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,A>2\n"]}} {"board": "oooAABCCoDDBoooooooooEoooFFEGGoooooo", "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: oooAABCCoDDBoooooooooEoooFFEGGoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>1\n"]}} {"board": "oooAABoooooBooCCCoooooDooooEDooooEDo", "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: oooAABoooooBooCCCoooooDooooEDooooEDo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>1\n"]}} {"board": "ooBoooooBooCDoBAACDooooooEEEoooooooo", "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: ooBoooooBooCDoBAACDooooooEEEoooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>1\n"]}} {"board": "ooooooooooooooooBCooooBCAAoooCoooooo", "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: ooooooooooooooooBCooooBCAAoooCoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>4\n"]}} {"board": "oooooBoooooBoooAABooooooCCoooooooooo", "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: oooooBoooooBoooAABooooooCCoooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv3,A>1\n"]}} {"board": "ooBoooooBooooAAoCooooDCooooDoooooDoo", "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: ooBoooooBooooAAoCooooDCooooDoooooDoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>3\n"]}} {"board": "AAoooBoooooBoooooBoCCDEooooDEooooDEo", "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: AAoooBoooooBoooooBoCCDEooooDEooooDEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oBBBoooooooooooooCoooooCAADoooooDooo", "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: oBBBoooooooooooooCoooooCAADoooooDooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,A>4\n"]}} {"board": "ooooooooBoooAABoooCoooooCoooDDEEEooo", "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: ooooooooBoooAABoooCoooooCoooDDEEEooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,A>4\n"]}} {"board": "ooooooooooooooooBoooAABoooooCCoooooo", "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: ooooooooooooooooBoooAABoooooCCoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,A>2\n"]}} {"board": "oooooooBBBooAAoooCDooooCDEooFoDEooFo", "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: oooooooBBBooAAoooCDooooCDEooFoDEooFo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>4\n"]}} {"board": "ooooBoAAooBoooooBoooooooooooooooCCDD", "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: ooooBoAAooBoooooBoooooooooooooooCCDD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>4\n"]}} {"board": "ooooooBoooooBoAAoCDoEEoCDFFFoCDGGGoo", "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: ooooooBoooooBoAAoCDoEEoCDFFFoCDGGGoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>2\n"]}} {"board": "oooooBoAAooBoooooBoCDDDooCoEoooCoEoo", "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: oooooBoAAooBoooooBoCDDDooCoEoooCoEoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>3\n"]}} {"board": "ooooooooooooooooooBBBoCoooAACoooDDoo", "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: ooooooooooooooooooBBBoCoooAACoooDDoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>2\n"]}} {"board": "ooooBoooooBooooCooDooCooDAACooDooooo", "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: ooooBoooooBooooCooDooCooDAACooDooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>3\n"]}} {"board": "oBBBoCoooooCoooooCAAooDooEEoDoooooDo", "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: oBBBoCoooooCoooooCAAooDooEEoDoooooDo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^3,A>4\n"]}} {"board": "ooooBooCCCBoDDDoBooooEooAAoEoooooFFF", "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: ooooBooCCCBoDDDoBooooEooAAoEoooooFFF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,A>4\n"]}} {"board": "ooBCooooBCooooooooooDEEEooDoooAADooo", "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: ooBCooooBCooooooooooDEEEooDoooAADooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>4\n"]}} {"board": "ooBCooooBCooAAoCooooooDoooooDoooooDo", "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: ooBCooooBCooAAoCooooooDoooooDoooooDo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv3,A>4\n"]}} {"board": "ooooooBoooCoBAAoCoBoooCooooooooooooo", "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: ooooooBoooCoBAAoCoBoooCooooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,A>3\n"]}} {"board": "ooBCCCooBoooooBooooooooDoooAADooooEE", "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: ooBCCCooBoooooBooooooooDoooAADooooEE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>1\n"]}} {"board": "ooooooooooooBBBooooooAACDDDooCoEEooC", "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: ooooooooooooBBBooooooAACDDDooCoEEooC\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^3,A>1\n"]}} {"board": "oAAoBoooooBooCCCBoooDDoooEEEFFoooGGG", "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: oAAoBoooooBooCCCBoooDDoooEEEFFoooGGG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "oooooooooBBBCoooooCoooooCooooDoAAooD", "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: oooooooooBBBCoooooCoooooCooooDoAAooD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>3\n"]}} {"board": "BoCCCDBoAAoDBEEFFDGooHHoGoooIoGJJJIo", "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: BoCCCDBoAAoDBEEFFDGooHHoGoooIoGJJJIo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv2,A>2\n"]}} {"board": "ooooooAAoBoooooBoooCCooooooooDoEEEoD", "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: ooooooAAoBoooooBoooCCooooooooDoEEEoD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "ooooooBBBooooooCooDEoCFoDEAAFooEooFo", "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: ooooooBBBooooooCooDEoCFoDEAAFooEooFo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^2,A>2\n"]}} {"board": "oooBBBoAAooCDDEooCFFEGHCoIoGHooIooHo", "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: oooBBBoAAooCDDEooCFFEGHCoIoGHooIooHo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>3\n"]}} {"board": "BBBooooooooooooooCooAAoCoooooCoDDooo", "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: BBBooooooooooooooCooAAoCoooooCoDDooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>2\n"]}} {"board": "oBoooooBoAACoBoooCooDDoooooooooooEEE", "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: oBoooooBoAACoBoooCooDDoooooooooooEEE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>1\n"]}} {"board": "ooooooooooooBoCoooBoCoooAACooooooooo", "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: ooooooooooooBoCoooBoCoooAACooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>4\n"]}} {"board": "oooooBoAAooBooCooBDECoooDECoooDEoFFo", "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: oooooBoAAooBooCooBDECoooDECoooDEoFFo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>3\n"]}} {"board": "oooBBBCooDDDCoAAoECFGoHEIFGoHEIFJJHo", "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: oooBBBCooDDDCoAAoECFGoHEIFGoHEIFJJHo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,A>2\n"]}} {"board": "oAAoBoooCCBoDDDEBFGHoEoFGHIIIJGHKKoJ", "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: oAAoBoooCCBoDDDEBFGHoEoFGHIIIJGHKKoJ\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "oooBoCoooBDCAAooDoooooooEEooooooFFoo", "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: oooBoCoooBDCAAooDoooooooEEooooooFFoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>4\n"]}} {"board": "oBBBooooooCooAAoCooDDDoEoFFFoEGGGooE", "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: oBBBooooooCooAAoCooDDDoEoFFFoEGGGooE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>3\n"]}} {"board": "ooAAoBoooooBoooooBoooooooooCCCoooDDD", "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: ooAAoBoooooBoooooBoooooooooCCCoooDDD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "oooBBBCooooDCooEoDooFEooooFEooAAFooo", "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: oooBBBCooooDCooEoDooFEooooFEooAAFooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,A>4\n"]}} {"board": "oooBBBCCCoooDoAAEoDFFGEHoIIGEHoooGoH", "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: oooBBBCCCoooDoAAEoDFFGEHoIIGEHoooGoH\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,A>2\n"]}} {"board": "oooooooBoooooBoooCoBoooCDAAooCDEEooo", "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: oooooooBoooooBoooCoBoooCDAAooCDEEooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>3\n"]}} {"board": "oooooooBoooCoBAAoCoBooooDDooooooooEE", "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: oooooooBoooCoBAAoCoBooooDDooooooooEE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>2\n"]}} {"board": "BAAooCBDDDoCBoEEooFGooHoFGooHIoJJoHI", "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: BAAooCBDDDoCBoEEooFGooHoFGooHIoJJoHI\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>3\n"]}} {"board": "ooooooooooooAAoooBooCooBDoCooBDoCooo", "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: ooooooooooooAAoooBooCooBDoCooBDoCooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "ooooBoCCCoBooDDDoEAAoooEoFoGoEoFoGoo", "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: ooooBoCCCoBooDDDoEAAoooEoFoGoEoFoGoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^2,A>4\n"]}} {"board": "oBoooCoBoooCAAoooCooooooooooooDDEEoo", "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: oBoooCoBoooCAAoooCooooooooooooDDEEoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv3,A>4\n"]}} {"board": "ooBooCDoBAACDoBoooDoooooEoFFFoEoGGHH", "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: ooBooCDoBAACDoBoooDoooooEoFFFoEoGGHH\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,A>1\n"]}} {"board": "oBBBooCCCoooAAoooDEooooDEoFFGGEooHHo", "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: oBBBooCCCoooAAoooDEooooDEoFFGGEooHHo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,A>4\n"]}} {"board": "ooAABooCCoBoooooBooooooooooooooooDDD", "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: ooAABooCCoBoooooBooooooooooooooooDDD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "ooAABooooCBoDooCooDEEEoooFooGGoFHHHo", "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: ooAABooooCBoDooCooDEEEoooFooGGoFHHHo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "BoooooBAACooooDCEEooDCFoGoDoFoGoooFo", "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: BoooooBAACooooDCEEooDCFoGoDoFoGoooFo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>3\n"]}} {"board": "oAAoBoooooBoooCoooooCoooDoCoooDooooo", "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: oAAoBoooooBoooCoooooCoooDoCoooDooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "ooooBooAAoBoCoooooCooDoooooDEEoooDoo", "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: ooooBooAAoBoCoooooCooDoooooDEEoooDoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>3\n"]}} {"board": "ooooBoAAooBoooooooCCCDoEFFoDoEoooDGG", "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: ooooBoAAooBoooooooCCCDoEFFoDoEoooDGG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>4\n"]}} {"board": "oAAooBooCoDBooCoDBEFCoDoEFoGGGEFooHH", "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: oAAooBooCoDBooCoDBEFCoDoEFoGGGEFooHH\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "ooooooAAoBoooooBoooooooooooooooooooo", "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: ooooooAAoBoooooBoooooooooooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "AAooBoCDooBoCDooBoCDEoooooEoFFoooooo", "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: AAooBoCDooBoCDooBoCDEoooooEoFFoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "ooBBBooCCCoDoooooDEoooFDEoAAFoooooFo", "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: ooBBBooCCCoDoooooDEoooFDEoAAFoooooFo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^2,A>2\n"]}} {"board": "AAoBoooooBoooooooooooCoooooCoooooooo", "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: AAoBoooooBoooooooooooCoooooCoooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oBoooooBoCCCoooAADoEEEFDGHHHFDGoooFo", "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: oBoooooBoCCCoooAADoEEEFDGHHHFDGoooFo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,A>1\n"]}} {"board": "ooBAACDDBEoCFGGEoCFooEooHHHIIIJJKKKo", "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: ooBAACDDBEoCFGGEoCFooEooHHHIIIJJKKKo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>1\n"]}} {"board": "ooooBooAAoBoooooBoCoDDooCEooooCEoFFF", "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: ooooBooAAoBoooooBoCoDDooCEooooCEoFFF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>3\n"]}} {"board": "ooooooooooooooAAoBooCooBooCoooooooDD", "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: ooooooooooooooAAoBooCooBooCoooooooDD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^2,A>2\n"]}} {"board": "oooooooooooBoAAooBooooCoDDEECFoooooF", "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: oooooooooooBoAAooBooooCoDDEECFoooooF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,A>3\n"]}} {"board": "BoooooBoooooBoooooooooCoooAACoooDDCo", "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: BoooooBoooooBoooooooooCoooAACoooDDCo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>2\n"]}} {"board": "oooooBooAAoBoCCDDooooooooooEEEoooFFF", "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: oooooBooAAoBoCCDDooooooooooEEEoooFFF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>2\n"]}} {"board": "ooooooooooooooAAoBCCCooBoooDoooEEDFF", "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: ooooooooooooooAAoBCCCooBoooDoooEEDFF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^2,A>2\n"]}} {"board": "oBoooooBoooooBoooCoooooCAAoooCDDooEE", "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: oBoooooBoooooBoooCoooooCAAoooCDDooEE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>4\n"]}} {"board": "oooooooooBoooAABoooooBCCDoooooDooooo", "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: oooooooooBoooAABoooooBCCDoooooDooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>3\n"]}} {"board": "oBoooCoBAAoCoooooooooDDooooooooooooo", "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: oBoooCoBAAoCoooooooooDDooooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,A>2\n"]}} {"board": "AAoBoooooBoooooBoooooooooooooooooCCC", "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: AAoBoooooBoooooBoooooooooooooooooCCC\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "ooAABoooooBoCCDoBooEDFoooEDFGGHHoFoo", "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: ooAABoooooBoCCDoBooEDFoooEDFGGHHoFoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "AABoooooBoCCoDBooooDoooEoFGHoEoFGHoE", "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: AABoooooBoCCoDBooooDoooEoFGHoEoFGHoE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "ooooooooAABoooCoBoDDCoBoooCooooooEEE", "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: ooooooooAABoooCoBoDDCoBoooCooooooEEE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "oooBBBoCoooooCoAADoCEFoDooEFGDooEFGo", "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: oooBBBoCoooooCoAADoCEFoDooEFGDooEFGo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,A>1\n"]}} {"board": "BCCCooBoAAoDoooooDEoooFoEGGGFoEoooFo", "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: BCCCooBoAAoDoooooDEoooFoEGGGFoEoooFo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,A>2\n"]}} {"board": "oooBooAAoBooooooooCDDoooCEEooooFFGGG", "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: oooBooAAoBooooooooCDDoooCEEooooFFGGG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>4\n"]}} {"board": "ooooooAABoooCCBDoooooDoooooDoooooooo", "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: ooooooAABoooCCBDoooooDoooooDoooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "BoCCCoBDDDoEBAAooEFFoGGoooHHHoIIIJJJ", "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: BoCCCoBDDDoEBAAooEFFoGGoooHHHoIIIJJJ\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,A>3\n"]}} {"board": "ooBCCCooBoooAABooooooooooooDDDEEoooo", "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: ooBCCCooBoooAABooooooooooooDDDEEoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv3,A>4\n"]}} {"board": "oBBBooooooooooooooAAoooCoooooCDDDooC", "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: oBBBooooooooooooooAAoooCoooooCDDDooC\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^3,A>4\n"]}} {"board": "BoCDooBoCDooBoCooooooooEAAoooEoooooE", "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: BoCDooBoCDooBoCooooooooEAAoooEoooooE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^2,A>4\n"]}} {"board": "AAooBoCoDoBoCoDoBooooooooEEEooooooFF", "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: AAooBoCoDoBoCoDoBooooooooEEEooooooFF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oooooooooooBoooAABooooooooCoooooCooo", "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: oooooooooooBoooAABooooooooCoooooCooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,A>1\n"]}} {"board": "ooooooBoooooBCCCooBDooooEDAAFoEGGoFo", "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: ooooooBoooooBCCCooBDooooEDAAFoEGGoFo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^2,A>2\n"]}} {"board": "oooooooAAooBoooooBoooooBCCCooooooDDo", "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: oooooooAAooBoooooBoooooBCCCooooooDDo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "oooooooooooBAAoooBooooooooooooooCCoo", "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: oooooooooooBAAoooBooooooooooooooCCoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,A>4\n"]}} {"board": "oooooooooooooBBBoCoDoooCoDAAoCoDoooo", "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: oooooooooooooBBBoCoDoooCoDAAoCoDoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>2\n"]}} {"board": "ooooooooooooooAABooCCoBooooooooooooo", "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: ooooooooooooooAABooCCoBooooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^2,A>2\n"]}} {"board": "ooooooooooBoooooBooAAooCoDDooCoooooo", "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: ooooooooooBoooooBooAAooCoDDooCoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>3\n"]}} {"board": "oooooBAAoooBoCCoooooDoooooDEEEoooooo", "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: oooooBAAoooBoCCoooooDoooooDEEEoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>4\n"]}} {"board": "oooooooBooooCBooooCBoooDoEEEoDAAoooD", "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: oooooooBooooCBooooCBoooDoEEEoDAAoooD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>4\n"]}} {"board": "BoooooBooAACoooDECFFoDECoooDEooooGGo", "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: BoooooBooAACoooDECFFoDECoooDEooooGGo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>1\n"]}} {"board": "ooooooooooooooBoooAABooooooCoDoooCoD", "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: ooooooooooooooBoooAABooooooCoDoooCoD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,A>4\n"]}} {"board": "AABoooCDBoooCDBEEECDoFFFGHIIooGHooJJ", "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: AABoooCDBoooCDBEEECDoFFFGHIIooGHooJJ\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "ooBoooAABoooooooooCoooooCoDDDoooEEEo", "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: ooBoooAABoooooooooCoooooCoDDDoooEEEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>4\n"]}} {"board": "ooooooooooooooooooAAoooBoooooBooooCC", "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: ooooooooooooooooooAAoooBoooooBooooCC\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^2,A>4\n"]}} {"board": "ooBooCooBooCooBAACoooDDoooooooEEFFFo", "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: ooBooCooBooCooBAACoooDDoooooooEEFFFo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv3,A>1\n"]}} {"board": "oBAAoCoBoDoCoooDECooFDEoGHFIIIGHFJJJ", "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: oBAAoCoBoDoCoooDECooFDEoGHFIIIGHFJJJ\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>2\n"]}} {"board": "oooBoooCoBoooCoBooooAAoDEooooDEooooD", "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: oooBoooCoBoooCoBooooAAoDEooooDEooooD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^3,A>2\n"]}} {"board": "AAoBooCCoBDDoEEoFoGHIIFoGHJJFKoooooK", "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: AAoBooCCoBDDoEEoFoGHIIFoGHJJFKoooooK\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oooooBoCAAoBoCoDDoEEEooooFFFooGGGHHH", "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: oooooBoCAAoBoCoDDoEEEooooFFFooGGGHHH\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>2\n"]}} {"board": "oooooooooooooBBBooCooAADCooooDCooooD", "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: oooooooooooooBBBooCooAADCooooDCooooD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^3,A>1\n"]}} {"board": "oooBBBoooooooCoooooCoooooCoooDoooAAD", "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: oooBBBoooooooCoooooCoooooCoooDoooAAD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>1\n"]}} {"board": "oooooooooBoooAABoooooooCoDDooCoooooC", "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: oooooooooBoooAABoooooooCoDDooCoooooC\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,A>3\n"]}} {"board": "ooooooBCooooBCoooDBooooDoooAADoooooo", "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: ooooooBCooooBCoooDBooooDoooAADoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>1\n"]}} {"board": "oAAooBoooooBooCooBooCDEoooCDEooooDEo", "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: oAAooBoooooBooCooBooCDEoooCDEooooDEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "ooAAoBoCoooBDCEEEBDoooFoooooFoooooFo", "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: ooAAoBoCoooBDCEEEBDoooFoooooFoooooFo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "BCooooBCDoooooDoooooAAEooFooEooFGGoo", "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: BCooooBCDoooooDoooooAAEooFooEooFGGoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^2,A>2\n"]}} {"board": "oBBBoooooCCCoooDooAAoDooooooooEEoooo", "size": 6, "moves": 2, "solution": ["Dv2", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBoooooCCCoooDooAAoDooooooooEEoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv2,A>4\n"]}} {"board": "ooooBoooAABoooooBooCCCooooooooDDDooo", "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: ooooBoooAABoooooBooCCCooooooooDDDooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>2\n"]}} {"board": "ooooooooBoooCoBooDCooooDCAAoEoooooEo", "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: ooooooooBoooCoBooDCooooDCAAoEoooooEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^2,A>3\n"]}} {"board": "oBCCCooBooooooooooooooDoooooDoooAADo", "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: oBCCCooBooooooooooooooDoooooDoooAADo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>2\n"]}} {"board": "oooBBBCoooooCooooDoAAooDEEoooFooGGGF", "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: oooBBBCoooooCooooDoAAooDEEoooFooGGGF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>3\n"]}} {"board": "ooooooooAABoCCCoBoooooBooooooooDDEEo", "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: ooooooooAABoCCCoBoooooBooooooooDDEEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "AAoBooCCCBoDEEooFDGGHoFDoIHJoooIHJKK", "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: AAoBooCCCBoDEEooFDGGHoFDoIHJoooIHJKK\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "ooBCCCooBooDooBooDoAAoEoFFoGEoHHoGII", "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: ooBCCCooBooDooBooDoAAoEoFFoGEoHHoGII\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^2,A>3\n"]}} {"board": "ooBBBoCCCDooEFGDoHEFGDIHoJJJIHAAooIo", "size": 6, "moves": 2, "solution": ["I^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: ooBBBoCCCDooEFGDoHEFGDIHoJJJIHAAooIo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nI^1,A>4\n"]}} {"board": "BCooooBCoooDoCoooDooAAoDoEEEoooooFFF", "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: BCooooBCoooDoCoooDooAAoDoEEEoooooFFF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>2\n"]}} {"board": "BooCCCBAADooEEEDFFGHHoIoGoJJIKGLLLIK", "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: BooCCCBAADooEEEDFFGHHoIoGoJJIKGLLLIK\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,A>3\n"]}} {"board": "oAABoooooBooCoooooCoDoooooDooooEEEoo", "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: oAABoooooBooCoooooCoDoooooDooooEEEoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "BBBCCCAAooDoEEEoDoFFFGDHoooGoHoIIGoH", "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: BBBCCCAAooDoEEEoDoFFFGDHoooGoHoIIGoH\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,A>4\n"]}} {"board": "oooAABCCoooBDooooBDEooooDEooFFoEoooo", "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: oooAABCCoooBDooooBDEooooDEooFFoEoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>1\n"]}} {"board": "BoooCoBoooCooAAoCooooDoEoooDoEoooDoE", "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: BoooCoBoooCooAAoCooooDoEoooDoEoooDoE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv3,A>3\n"]}} {"board": "BCooooBCooDoooooDooAAooEoooooEFFoooE", "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: BCooooBCooDoooooDooAAooEoooooEFFoooE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^3,A>3\n"]}} {"board": "oooooooBoooooBoooooBoooCDooooCDooAAC", "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: oooooooBoooooBoooooBoooCDooooCDooAAC\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>1\n"]}} {"board": "AABoooCoBDooCooDooooooooooEEEooooooo", "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: AABoooCoBDooCooDooooooooooEEEooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "BAAoCoBDDDCoooEoCoooEooooooFFFoooooo", "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: BAAoCoBDDDCoooEoCoooEooooooFFFoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>3\n"]}} {"board": "ooBBBooooooooooooooAAoCoooooCoooDDDo", "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: ooBBBooooooooooooooAAoCoooooCoooDDDo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>3\n"]}} {"board": "oooooooooooBooAAoBCCCDDoEEEooooooooo", "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: oooooooooooBooAAoBCCCDDoEEEooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,A>2\n"]}} {"board": "ooooooooBBBoooooooCoooDoCEooDFCEoAAF", "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: ooooooooBBBoooooooCoooDoCEooDFCEoAAF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,A>1\n"]}} {"board": "AAoooBoooooBoooooBooooCoDDDoCoooooEE", "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: AAoooBoooooBoooooBooooCoDDDoCoooooEE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "ooBoooAABoooooBooooooooooooCCooooooo", "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: ooBoooAABoooooBooooooooooooCCooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>4\n"]}} {"board": "oooooooAAooBoCoooBoCDooBooDoooooEEoo", "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: oooooooAAooBoCoooBoCDooBooDoooooEEoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "AAooBoooooBoCCoooooDDDoooooooooooooo", "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: AAooBoooooBoCCoooooDDDoooooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oAAoBoCCDEBFGoDEoFGoDEHFoIIIHooJJoHo", "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: oAAoBoCCDEBFGoDEoFGoDEHFoIIIHooJJoHo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "ooBBBooooooooooooooooAACooDDDCoEEEoC", "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: ooBBBooooooooooooooooAACooDDDCoEEEoC\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^3,A>1\n"]}} {"board": "ooooooooooBoooooBooAAoBoooooooCCCoDD", "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: ooooooooooBoooooBooAAoBoooooooCCCoDD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,A>3\n"]}} {"board": "oooooooBoooooBoAACooDDoCoooooCoooEEo", "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: oooooooBoooooBoAACooDDoCoooooCoooEEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>1\n"]}} {"board": "oooBBBoAAooCDDoooCoooooooooooooEEooo", "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: oooBBBoAAooCDDoooCoooooooooooooEEooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>3\n"]}} {"board": "oooooooooooooooooooBooooCBooDoCBAADo", "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: oooooooooooooooooooBooooCBooDoCBAADo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>2\n"]}} {"board": "oBBBooooCoooAACooooooDEEoooDFoGGGDFo", "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: oBBBooooCoooAACooooooDEEoooDFoGGGDFo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,A>4\n"]}} {"board": "oooBBBoooooCoooAACooooooooDoooooDooo", "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: oooBBBoooooCoooAACooooooooDoooooDooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,A>1\n"]}} {"board": "BCCCDoBoooDoEEEoDoAAoFooGGGFHHoIIoJJ", "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: BCCCDoBoooDoEEEoDoAAoFooGGGFHHoIIoJJ\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^2,A>4\n"]}} {"board": "oooAABoCCCoBoDDEEBoFFGooHoIGJJHoIKKK", "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: oooAABoCCCoBoDDEEBoFFGooHoIGJJHoIKKK\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>1\n"]}} {"board": "oooooBooAAoBCoooooCooDDooooooEoooooE", "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: oooooBooAAoBCoooooCooDDooooooEoooooE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>2\n"]}} {"board": "oooooooBBBooooooCoooooCoDooooEDAAooE", "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: oooooooBBBooooooCoooooCoDooooEDAAooE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,A>3\n"]}} {"board": "ooAAoBoCCCoBooDDDoEoooFFEGGoHHEoIIIo", "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: ooAAoBoCCCoBooDDDoEoooFFEGGoHHEoIIIo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "AAoBoooooBoCoooBoCoDDoECooooEoooooEo", "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: AAoBoooooBoCoooBoCoDDoECooooEoooooEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oooooooooooBooAAoBooCDoEooCDFEooCoFE", "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: oooooooooooBooAAoBooCDoEooCDFEooCoFE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,A>2\n"]}} {"board": "oBoooCoBDDDCoooAAEoooooEooooooFFFGGo", "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: oBoooCoBDDDCoooAAEoooooEooooooFFFGGo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,A>1\n"]}} {"board": "BoooooBoooooBoooCoooooCoAADoooooDEEE", "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: BoooooBoooooBoooCoooooCoAADoooooDEEE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,A>4\n"]}} {"board": "oBBBoooooooCoAAooCooDDDCoooooooooooo", "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: oBBBoooooooCoAAooCooDDDCoooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,A>3\n"]}} {"board": "BoooooBoooooBoooooooooCoDDDoCoooAACo", "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: BoooooBoooooBoooooooooCoDDDoCoooAACo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>2\n"]}} {"board": "oooooBAAoooBooCCCooooooooDDooooooooo", "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: oooooBAAoooBooCCCooooooooDDooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>4\n"]}} {"board": "ooBBBooooooCAAoooCoooooCooooDoooooDo", "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: ooBBBooooooCAAoooCoooooCooooDoooooDo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,A>4\n"]}} {"board": "oooooBoAAooBoooooBooCCCoooooooDDoooo", "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: oooooBoAAooBoooooBooCCCoooooooDDoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>3\n"]}} {"board": "oooooooooooBooCAABooCooBDoCoooDEEooo", "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: oooooooooooBooCAABooCooBDoCoooDEEooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>1\n"]}} {"board": "ooooooooooooooooooooBooCDoBooCDAAooC", "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: ooooooooooooooooooooBooCDoBooCDAAooC\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>3\n"]}} {"board": "oBoooooBooooooooooCoAADoCoooDoEEEoDo", "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: oBoooooBooooooooooCoAADoCoooDoEEEoDo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^3,A>2\n"]}} {"board": "oooooooAAooBoooooBoooooooCoooooCDDoo", "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: oooooooAAooBoooooBoooooooCoooooCDDoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "ooBBBooCoooooCoooDoCoooDAAoooDoooooo", "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: ooBBBooCoooooCoooDoCoooDAAoooDoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>4\n"]}} {"board": "oooooooooooooooAABoCCCoBoooooBoooooo", "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: oooooooooooooooAABoCCCoBoooooBoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>1\n"]}} {"board": "AABoooooBCCCooBDDDoEooFGHEooFGHEoooG", "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: AABoooooBCCCooBDDDoEooFGHEooFGHEoooG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oBBBoooooCooAAoCoooooCoooDDooooooooo", "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: oBBBoooooCooAAoCoooooCoooDDooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,A>4\n"]}} {"board": "oAAoBooCCCBooooooooDDoEEooooFFoooGGG", "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: oAAoBooCCCBooooooooDDoEEooooFFoooGGG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "ooooBoooooBoAACoooooCoooooDDDooooooo", "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: ooooBoooooBoAACoooooCoooooDDDooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>4\n"]}} {"board": "ooooooBCooDoBCooDEoCoAAEooooooFFFooo", "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: ooooooBCooDoBCooDEoCoAAEooooooFFFooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,A>1\n"]}} {"board": "ooooBoCDDDBECoAAoECooFGEoHHFGooIIFGo", "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: ooooBoCDDDBECoAAoECooFGEoHHFGooIIFGo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv2,A>2\n"]}} {"board": "oooBBBCoAAoDCooEEDCooFFDoGGGHoooooHo", "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: oooBBBCoAAoDCooEEDCooFFDoGGGHoooooHo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,A>2\n"]}} {"board": "AAoooBoCCCDBEEFFDooGHoDooGHIJJoGHIoo", "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: AAoooBoCCCDBEEFFDooGHoDooGHIJJoGHIoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "BBBooCoAAooCooDDDCooEoooFoEGooFoEGoo", "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: BBBooCoAAooCooDDDCooEoooFoEGooFoEGoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,A>3\n"]}} {"board": "oooooBooCCCBooooooDoooooDooAAEDFFooE", "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: oooooBooCCCBooooooDoooooDooAAEDFFooE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^2,A>1\n"]}} {"board": "BoooooBooooCoooooCoAAooCooooDooEEoDo", "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: BoooooBooooCoooooCoAAooCooooDooEEoDo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>3\n"]}} {"board": "oooooooooBooCooBooCooAADCooooDoEEooD", "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: oooooooooBooCooBooCooAADCooooDoEEooD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^3,A>1\n"]}} {"board": "BoooooBoCoooooCoooAACooooDDDoooooooo", "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: BoooooBoCoooooCoooAACooooDDDoooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>4\n"]}} {"board": "ooAABoooooBooooCBooDoCoooDoooooDoooo", "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: ooAABoooooBooooCBooDoCoooDoooooDoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "oooBoooooBooooAACoooooCoooooooDDoooo", "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: oooBoooooBooooAACoooooCoooooooDDoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>2\n"]}} {"board": "BoooooBoAACoooooCoDEooCFDEGooFDoGoHH", "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: BoooooBoAACoooooCoDEooCFDEGooFDoGoHH\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>2\n"]}} {"board": "oAABoooooBooooooooooCCCoooooDoooEEDo", "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: oAABoooooBooooooooooCCCoooooDoooEEDo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "oBAACooBooCoooooooooooooDoooooDooooo", "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: oBAACooBooCoooooooooooooDoooooDooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>2\n"]}} {"board": "BBBCCCAAooDoooooDoooooDoEEoooooFFFoo", "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: BBBCCCAAooDoooooDoooooDoEEoooooFFFoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,A>4\n"]}} {"board": "oBoooooBCCCDoBoooDoooAADoEooFFoEoGGo", "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: oBoooooBCCCDoBoooDoooAADoEooFFoEoGGo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>1\n"]}} {"board": "oooAABCCCooBoooooooDDDooEoooooEooooo", "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: oooAABCCCooBoooooooDDDooEoooooEooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>1\n"]}} {"board": "oooBBBoCCCooDEooooDEooooDEAAFoooooFo", "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: oooBBBoCCCooDEooooDEooooDEAAFoooooFo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^2,A>2\n"]}} {"board": "oooooooooooooBoooooBAAoCoBoDoCoooDoC", "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: oooooooooooooBoooooBAAoCoBoDoCoooDoC\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^3,A>2\n"]}} {"board": "oAAoBoooooBoooooBoooooooCCoooooooDDo", "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: oAAoBoooooBoooooBoooooooCCoooooooDDo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "oooooooooooooooBBBAAoooCoooooCooDDoo", "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: oooooooooooooooBBBAAoooCoooooCooDDoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>4\n"]}} {"board": "oBoCCCoBoooooBoooDooAAoDoooEEEoooooo", "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: oBoCCCoBoooooBoooDooAAoDoooEEEoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>2\n"]}} {"board": "oBBBoCoDAAoCoDEEECoDoFFoGoHIIoGoHoJJ", "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: oBBBoCoDAAoCoDEEECoDoFFoGoHIIoGoHoJJ\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,A>2\n"]}} {"board": "oooooooooAABCooDoBCoEDooooEDoooooooo", "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: oooooooooAABCooDoBCoEDooooEDoooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>1\n"]}} {"board": "BBBooCAAoooCoDDDoCooooEooooFEooGGFEo", "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: BBBooCAAoooCoDDDoCooooEooooFEooGGFEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,A>4\n"]}} {"board": "AAoooBoCCCoBooDDoBooEEFooGHoFooGHoFo", "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: AAoooBoCCCoBooDDoBooEEFooGHoFooGHoFo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "ooooooooooooooooooBoooooBooooCBoAAoC", "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: ooooooooooooooooooBoooooBooooCBoAAoC\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>2\n"]}} {"board": "BoooCoBoDECoBoDEoFoGAAoFoGHHIoJJooIo", "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: BoooCoBoDECoBoDEoFoGAAoFoGHHIoJJooIo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,A>2\n"]}} {"board": "oBBBooCCCoDooAAoDoooooDEoFoooEoFoooE", "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: oBBBooCCCoDooAAoDoooooDEoFoooEoFoooE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv2,A>3\n"]}} {"board": "oooBooAAoBoooooBooooooooCoooDoCoEEDo", "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: oooBooAAoBoooooBooooooooCoooDoCoEEDo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>4\n"]}} {"board": "oBoooooBoCCCoBooooooooooDDDooEoooAAE", "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: oBoooooBoCCCoBooooooooooDDDooEoooAAE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,A>1\n"]}} {"board": "oBoooooBoAACoBoooCoooooooooDoooooDoo", "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: oBoooooBoAACoBoooCoooooooooDoooooDoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>1\n"]}} {"board": "BBBooooooooCAAoooCooDDDCoooooooooooo", "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: BBBooooooooCAAoooCooDDDCoooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,A>4\n"]}} {"board": "oBBBooCooooDCooAADCEEFFGoHoIJGoHoIJG", "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: oBBBooCooooDCooAADCEEFFGoHoIJGoHoIJG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>1\n"]}} {"board": "oBoooooBooooooooooAAoooCDooooCDooooC", "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: oBoooooBooooooooooAAoooCDooooCDooooC\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^3,A>4\n"]}} {"board": "ooAABoooooBoCooDooCooDooEEEooooooooo", "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: ooAABoooooBoCooDooCooDooEEEooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "ooBBBooooCooAAoCoooooooooooooooooooo", "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: ooBBBooooCooAAoCoooooooooooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,A>4\n"]}} {"board": "ooooooBBBooCooAAoCDEEEoFDooooFDooooF", "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: ooooooBBBooCooAAoCDEEEoFDooooFDooooF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>2\n"]}} {"board": "ooooBoooooBooooooCoooAACoooooCoooooo", "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: ooooBoooooBooooooCoooAACoooooCoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>1\n"]}} {"board": "BBBoooooooooCoooooCooooDCoEEEDoooAAD", "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: BBBoooooooooCoooooCooooDCoEEEDoooAAD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>1\n"]}} {"board": "oooooBoooooBoAAooBoCDEoooCDEoooCoEoo", "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: oooooBoooooBoAAooBoCDEoooCDEoooCoEoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv3,A>3\n"]}} {"board": "oooooBCoAAoBCooooBooooDoooooDooEEEoo", "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: oooooBCoAAoBCooooBooooDoooooDooEEEoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>2\n"]}} {"board": "BBBCCCAAooDooEEEDFooGHDFIJGHoFIJGoKK", "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: BBBCCCAAooDooEEEDFooGHDFIJGHoFIJGoKK\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,A>4\n"]}} {"board": "oooBoooooBoooAAoCoooooCooooDCoEEoDoo", "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: oooBoooooBoooAAoCoooooCooooDCoEEoDoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>3\n"]}} {"board": "ooAABooCCoBDooEEoDFFFooGHHHooGooIIIG", "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: ooAABooCCoBDooEEoDFFFooGHHHooGooIIIG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "oooooBoooooBoAAooBCooDooCooDooCooDoo", "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: oooooBoooooBoAAooBCooDooCooDooCooDoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv3,A>3\n"]}} {"board": "BooCCCBoooooBoooooooooDooAAoDoEEoooo", "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: BooCCCBoooooBoooooooooDooAAoDoEEoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>3\n"]}} {"board": "ooooooooooooooooBoooooBCoAAooCoooooo", "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: ooooooooooooooooBoooooBCoAAooCoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>3\n"]}} {"board": "ooAAoBoooooBoooooooCoooooCoooooCooDD", "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: ooAAoBoooooBoooooooCoooooCoooooCooDD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "oooBooAAoBooooooooooooooooCCDDoooooo", "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: oooBooAAoBooooooooooooooooCCDDoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>4\n"]}} {"board": "oBBBoooAACoooooCoDooEooDooEoFFGGEooo", "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: oBBBoooAACoooooCoDooEooDooEoFFGGEooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>3\n"]}} {"board": "oooAABCCCoDBooEEDBooooDoooFooGooFooG", "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: oooAABCCCoDBooEEDBooooDoooFooGooFooG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>1\n"]}} {"board": "oooBoCoooBoCoAABoooooooDooooEDooooED", "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: oooBoCoooBoCoAABoooooooDooooEDooooED\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv3,A>3\n"]}} {"board": "ooAABoCoooBoCDDDooooooEEoooFFFGGoooo", "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: ooAABoCoooBoCDDDooooooEEoooFFFGGoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "oAAooBCooooBCooooBoooooooooooooooooo", "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: oAAooBCooooBCooooBoooooooooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "oooooooooooooAAooBoooooBoooooBooCCCo", "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: oooooooooooooAAooBoooooBoooooBooCCCo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "oAAooBooooCBooooCoooooooDDooooEEFFGG", "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: oAAooBooooCBooooCoooooooDDooooEEFFGG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "oooooooBBBoooooooooooCoooAACoooooooo", "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: oooooooBBBoooooooooooCoooAACoooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>3\n"]}} {"board": "ooooooBooooCBoDDDCoEoAACoEoooooEoFFF", "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: ooooooBooooCBoDDDCoEoAACoEoooooEoFFF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>1\n"]}} {"board": "ooooBoooooBoooAABoCCoooooooooooooooo", "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: ooooBoooooBoooAABoCCoooooooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv3,A>2\n"]}} {"board": "oAAoBoCCooBDEooooDEFoGGDHFIoooHFIJJo", "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: oAAoBoCCooBDEooooDEFoGGDHFIoooHFIJJo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "oooooooooooooooooBoooooBooAACoooooCo", "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: oooooooooooooooooBoooooBooAACoooooCo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>2\n"]}} {"board": "oooBBBoAAooCoooooCoooooCoooooooooDDo", "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: oooBBBoAAooCoooooCoooooCoooooooooDDo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>3\n"]}} {"board": "oooooooooooooooBCoDooBCEDAAooEDooooE", "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: oooooooooooooooBCoDooBCEDAAooEDooooE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^2,A>3\n"]}} {"board": "oBoooooBooCooAAoCooooooooooooooooooo", "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: oBoooooBooCooAAoCooooooooooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>3\n"]}} {"board": "ooBAACooBooCooooooDEooooDEFFoooEoooo", "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: ooBAACooBooCooooooDEooooDEFFoooEoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>1\n"]}} {"board": "ooooooBoooooBoooCooAAoCoDDDEEEooooFF", "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: ooooooBoooooBoooCooAAoCoDDDEEEooooFF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>3\n"]}} {"board": "BAAoCoBoooCoDoEECoDFFFoGDooHHGooIIIG", "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: BAAoCoBoooCoDoEECoDFFFoGDooHHGooIIIG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>3\n"]}} {"board": "oooooooooBoooAABooCoDoooCoDoEECoDFFo", "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: oooooooooBoooAABooCoDoooCoDoEECoDFFo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,A>3\n"]}} {"board": "ooBoooooBooooAACoooDoCoEoDoooEoooooo", "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: ooBoooooBooooAACoooDoCoEoDoooEoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>3\n"]}} {"board": "ooBooooCBDDDoCoooooCooooEoAAoFEooooF", "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: ooBooooCBDDDoCoooooCooooEoAAoFEooooF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^2,A>2\n"]}} {"board": "ooooooAAooBoooooBoooooBoCCooooDDDooo", "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: ooooooAAooBoooooBoooooBoCCooooDDDooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oooooBoCoooBoCooDEoCooDEAAooDooooooo", "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: oooooBoCoooBoCooDEoCooDEAAooDooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>4\n"]}} {"board": "oBoCCCoBDDDooBooooooAAoEoooooEoooooo", "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: oBoCCCoBDDDooBooooooAAoEoooooEoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^2,A>2\n"]}} {"board": "BoAAoCBDDooCBooooCEEEFGoHHoFGooooFoo", "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: BoAAoCBDDooCBooooCEEEFGoHHoFGooooFoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>2\n"]}} {"board": "oooooooBoooooBooooooAACoooooCoDDooCo", "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: oooooooBoooooBooooooAACoooooCoDDooCo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^3,A>2\n"]}} {"board": "ooooBoCCCDBoEAADooEoooFFGGGHHHoIIIJJ", "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: ooooBoCCCDBoEAADooEoooFFGGGHHHoIIIJJ\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>3\n"]}} {"board": "BoooooBoCoooAACoooooCooooooooooooDDD", "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: BoooooBoCoooAACoooooCooooooooooooDDD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,A>4\n"]}} {"board": "ooooooooooooooooooBAAooCBooooCBoDDoo", "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: ooooooooooooooooooBAAooCBooooCBoDDoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>3\n"]}} {"board": "BoooooBooCCCBooooDoooooDoooEoDAAoEoo", "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: BoooooBooCCCBooooDoooooDoooEoDAAoEoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,A>4\n"]}} {"board": "BAAoCoBDDoCEoooooEFGHHHoFGIIIJFGoooJ", "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: BAAoCoBDDoCEoooooEFGHHHoFGIIIJFGoooJ\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>3\n"]}} {"board": "ooAAoBCDDoEBCFFoEBGoooooGooHHHooIIoo", "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: ooAAoBCDDoEBCFFoEBGoooooGooHHHooIIoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "oooooBoooooBCAAooBCoooooCooooooooooo", "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: oooooBoooooBCAAooBCoooooCooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv3,A>3\n"]}} {"board": "oBoooCoBAAoCoBooooooooooDDDEoFGGoEoF", "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: oBoooCoBAAoCoBooooooooooDDDEoFGGoEoF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,A>2\n"]}} {"board": "oooooooooooooAAoBoooCoBoooCDDDooCEEo", "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: oooooooooooooAAoBoooCoBoooCDDDooCEEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^2,A>3\n"]}} {"board": "oooBoooooBCoAAooCooooDCEFooDoEFooDoE", "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: oooBoooooBCoAAooCooooDCEFooDoEFooDoE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,A>4\n"]}} {"board": "oAAooBoooooBCCCoooooooDoEEooDooFFFDo", "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: oAAooBoooooBCCCoooooooDoEEooDooFFFDo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "ooBBBooooooooCCCoDooAAoDooEEEDooooFF", "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: ooBBBooooooooCCCoDooAAoDooEEEDooooFF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,A>2\n"]}} {"board": "AAoooBoooooBoCooDooCoEDooCoEDoFFooGG", "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: AAoooBoooooBoCooDooCoEDooCoEDoFFooGG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oooBBBooCAADoECooDoECFoDoGoFoooGoFHH", "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: oooBBBooCAADoECooDoECFoDoGoFoooGoFHH\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,A>1\n"]}} {"board": "ooBooooCBDoooCBDooECAAFoEGGoFoEooooo", "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: ooBooooCBDoooCBDooECAAFoEGGoFoEooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^2,A>2\n"]}} {"board": "ooooooooooooBooCCCBoAAoDooEEoDoooooo", "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: ooooooooooooBooCCCBoAAoDooEEoDoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,A>2\n"]}} {"board": "ooAAoBoooooBCCoooBoooDEooooDEooooDEo", "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: ooAAoBoooooBCCoooBoooDEooooDEooooDEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "oooBoooooBCoAAooCoDoooooDEEEooDooooo", "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: oooBoooooBCoAAooCoDoooooDEEEooDooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>4\n"]}} {"board": "BBBCCCAAoDoooEEDFFGHHDoIGoJooIGoJKKK", "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: BBBCCCAAoDoooEEDFFGHHDoIGoJooIGoJKKK\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,A>4\n"]}} {"board": "BBBooooCCCDoooooDoooooDEAAoooEoooFFE", "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: BBBooooCCCDoooooDoooooDEAAoooEoooFFE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^2,A>4\n"]}} {"board": "oAAooBoooooBoCoooBoCoooooCoDoooooDoo", "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: oAAooBoooooBoCoooBoCoooooCoDoooooDoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "oooooooBoooooBAAoCoBoooCooDDoooEEEoo", "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: oooooooBoooooBAAoCoBoooCooDDoooEEEoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>2\n"]}} {"board": "oooooBooCCCBooAAoBoooooooDoooooDoooo", "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: oooooBooCCCBooAAoBoooooooDoooooDoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv3,A>2\n"]}} {"board": "oBoooooBoooCoAAooCooooooooooDEooooDE", "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: oBoooooBoooCoAAooCooooooooooDEooooDE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>3\n"]}} {"board": "BBBooooooooCooAAoCooooDEooooDEooooDo", "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: BBBooooooooCooAAoCooooDEooooDEooooDo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>2\n"]}} {"board": "ooAAoBoooooBoooooBoooCoooooCoooDDCoo", "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: ooAAoBoooooBoooooBoooCoooooCoooDDCoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "oooooooooooooooooooAABoooooBoCoooBoC", "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: oooooooooooooooooooAABoooooBoCoooBoC\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^3,A>3\n"]}} {"board": "BAAooCBDoooCoDEEEooooooooFFoooGGooHH", "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: BAAooCBDoooCoDEEEooooooooFFoooGGooHH\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>3\n"]}} {"board": "ooAABoooooBoooooBoCDEFooCDEFGGCoHHoo", "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: ooAABoooooBoooooBoCDEFooCDEFGGCoHHoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "AAoooBoooooBoCoooooCooDDoEEooooooooo", "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: AAoooBoooooBoCoooooCooDDoEEooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "AAoBoooCoBoooCoBoooDDoEEFoooooFooGGo", "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: AAoBoooCoBoooCoBoooDDoEEFoooooFooGGo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "BCooooBCooDoAAooDoooooDoEEEoooooFFoo", "size": 6, "moves": 2, "solution": ["Dv2", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BCooooBCooDoAAooDoooooDoEEEoooooFFoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv2,A>4\n"]}} {"board": "ooAABoCCoDBooooDBoEooDooEoooFFoooGGG", "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: ooAABoCCoDBooooDBoEooDooEoooFFoooGGG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "oooooooBCDoooBCDoooAADooooooEoooooEo", "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: oooooooBCDoooBCDoooAADooooooEoooooEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>3\n"]}} {"board": "ooBCCCAABoooooBooooooDEFoooDEFoooDEo", "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: ooBCCCAABoooooBooooooDEFoooDEFoooDEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>4\n"]}} {"board": "oooooooooooooooooBAAoooBoCDooooCDooo", "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: oooooooooooooooooBAAoooBoCDooooCDooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,A>4\n"]}} {"board": "BBBooooCooDooCooDooCAADooooEoooooEFF", "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: BBBooooCooDooCooDooCAADooooEoooooEFF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>2\n"]}} {"board": "ooAABoooCCBooDDoBoEEooooooooFFoooooo", "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: ooAABoooCCBooDDoBoEEooooooooFFoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "oooBoooooBooooooooAAooCooooDCooooDCo", "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: oooBoooooBooooooooAAooCooooDCooooDCo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^3,A>4\n"]}} {"board": "ooooooooooBoCoooBoCooDBoAAoDoooooDoo", "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: ooooooooooBoCoooBoCooDBoAAoDoooooDoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,A>4\n"]}} {"board": "oooBoooooBCoooAACoDoooCEDFFFoEDGGooE", "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: oooBoooooBCoooAACoDoooCEDFFFoEDGGooE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,A>2\n"]}} {"board": "ooooooooooooooAABoooooBCooooBCoooooC", "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: ooooooooooooooAABoooooBCooooBCoooooC\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "ooooooooooooooooooooooBoooAABoooooCC", "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: ooooooooooooooooooooooBoooAABoooooCC\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,A>2\n"]}} {"board": "ooAABooCCCBoooooooooooooooooooooooDD", "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: ooAABooCCCBoooooooooooooooooooooooDD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "BoooooBoAAoCoooooCooooooDDoEEooooooo", "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: BoooooBoAAoCoooooCooooooDDoEEooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>2\n"]}} {"board": "oBoooooBoooCoAAooCoDDDoooooEEoFFFGGG", "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: oBoooooBoooCoAAooCoDDDoooooEEoFFFGGG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>3\n"]}} {"board": "oooBooAAoBooCCoBoooDDooooooooooooooo", "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: oooBooAAoBooCCoBoooDDooooooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>4\n"]}} {"board": "AAooBoooooBooCCoBooDDDooEEoooooooooo", "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: AAooBoooooBooCCoBooDDDooEEoooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "ooooooooooooooAAoBoCoDEBoCFDEooCFDEo", "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: ooooooooooooooAAoBoCoDEBoCFDEooCFDEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^2,A>2\n"]}} {"board": "AAoooBoooooBCCDDooooooooooooEEoFFoGG", "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: AAoooBoooooBCCDDooooooooooooEEoFFoGG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oBBBooooCCCDooAAoDoEEoFGHHHIFGJJJIFo", "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: oBBBooooCCCDooAAoDoEEoFGHHHIFGJJJIFo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>2\n"]}} {"board": "ooBBBooooooCoDoooCoDAAoCoDEoooooEoFF", "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: ooBBBooooooCoDoooCoDAAoCoDEoooooEoFF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>2\n"]}} {"board": "oooBoooooBoooooooooooooCooAAoCDDDooo", "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: oooBoooooBoooooooooooooCooAAoCDDDooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>2\n"]}} {"board": "AAoooBooCCCBoooDDBoEEoFooGGGFoooHHFo", "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: AAoooBooCCCBoooDDBoEEoFooGGGFoooHHFo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oBBBooooAAoCoooDDCoEEEoCooooFoooooFo", "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: oBBBooooAAoCoooDDCoEEEoCooooFoooooFo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>2\n"]}} {"board": "oooooBCoAAoBCoooooCoooooooooDDoooooo", "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: oooooBCoAAoBCoooooCoooooooooDDoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>2\n"]}} {"board": "oooooooBBBoooooooooooooCoooAACoDDooC", "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: oooooooBBBoooooooooooooCoooAACoDDooC\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>1\n"]}} {"board": "BoCCCoBoooooBooooooAAoDooEooDooEoooo", "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: BoCCCoBoooooBooooooAAoDooEooDooEoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,A>3\n"]}} {"board": "ooooBoooooBCooDooCooDoECooooEoAAooEo", "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: ooooBoooooBCooDooCooDoECooooEoAAooEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,A>4\n"]}} {"board": "oooAABoCCCoBDDEoooooEFFFoGGoHHIIoooo", "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: oooAABoCCCoBDDEoooooEFFFoGGoHHIIoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>1\n"]}} {"board": "oBoAACoBoooCoBDDDooooooooEEFFooGGooo", "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: oBoAACoBoooCoBDDDooooooooEEFFooGGooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>1\n"]}} {"board": "oooBooooCBooooCoDoooAADoooooDooooEEo", "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: oooBooooCBooooCoDoooAADoooooDooooEEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,A>2\n"]}} {"board": "ooooooooooooBBBoooCooAADCooooDCooooo", "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: ooooooooooooBBBoooCooAADCooooDCooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,A>1\n"]}} {"board": "oooooooooooooooBBBoooooooooooCAAoooC", "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: oooooooooooooooBBBoooooooooooCAAoooC\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>4\n"]}} {"board": "ooooooooooBoooCoBoooCoBoAAoDoooooDoo", "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: ooooooooooBoooCoBoooCoBoAAoDoooooDoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,A>4\n"]}} {"board": "AAoooBoooooBoooooBoCoooooCoooooooooo", "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: AAoooBoooooBoooooBoCoooooCoooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oooooBooAAoBoCoooooCooooooooDoooooDo", "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: oooooBooAAoBoCoooooCooooooooDoooooDo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>2\n"]}} {"board": "ooBoooooBoooooBooooooooooooAACDDDEEC", "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: ooBoooooBoooooBooooooooooooAACDDDEEC\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>1\n"]}} {"board": "oooooooooBBBCAAooDCEoooDCEooFDooGGFo", "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: oooooooooBBBCAAooDCEoooDCEooFDooGGFo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,A>3\n"]}} {"board": "AABoooooBoooCoBoooCoooooCDDDoooooooo", "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: AABoooooBoooCoBoooCoooooCDDDoooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "BBBoooooooooooAACoooooCoDDooCooooooo", "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: BBBoooooooooooAACoooooCoDDooCooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>2\n"]}} {"board": "oooooooooBoooAABooCCDBooooDoooooDoEE", "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: oooooooooBoooAABooCCDBooooDoooooDoEE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>3\n"]}} {"board": "ooooBoooooBoooooBoCAAooDCoEooDFFEooD", "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: ooooBoooooBoooooBoCAAooDCoEooDFFEooD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^3,A>3\n"]}} {"board": "oooBBBoAAoCoDDDoCoEFGoooEFGHHHoFGIIo", "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: oooBBBoAAoCoDDDoCoEFGoooEFGHHHoFGIIo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>3\n"]}} {"board": "oAAoBoooCoBoooCoBDoECooDoEoooDoEoFFF", "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: oAAoBoooCoBoooCoBDoECooDoEoooDoEoFFF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "ooAAoBCoDDoBCoooooCooooooEoooooEoooo", "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: ooAAoBCoDDoBCoooooCooooooEoooooEoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "BooooCBoAAoCDDooooooooooEoooooEooooo", "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: BooooCBoAAoCDDooooooooooEoooooEooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,A>2\n"]}} {"board": "oBBBooooooooooooooCoooooCDAAEooDooEo", "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: oBBBooooooooooooooCoooooCDAAEooDooEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^2,A>2\n"]}} {"board": "BoooooBoooCoBooDCooAADoooooooooooEEo", "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: BoooooBoooCoBooDCooAADoooooooooooEEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>3\n"]}} {"board": "oBoooooBCoDooBCoDoooooDoooAAoEFFGGGE", "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: oBoooooBCoDooBCoDoooooDoooAAoEFFGGGE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^2,A>2\n"]}} {"board": "oooooooAABoooooBoooCDooooCDooooCDoEE", "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: oooooooAABoooooBoooCDooooCDooooCDoEE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "ooooooBBBoCooAAoCoDDDoooooooEoooooEo", "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: ooooooBBBoCooAAoCoDDDoooooooEoooooEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>3\n"]}} {"board": "oooooooooooooooooBoAAooBooCooBDDCEEE", "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: oooooooooooooooooBoAAooBooCooBDDCEEE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^2,A>3\n"]}} {"board": "ooBBBoCCCDooEEEDoFoGoDoFoGHAAFooHIIo", "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: ooBBBoCCCDooEEEDoFoGoDoFoGHAAFooHIIo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,A>1\n"]}} {"board": "oooBBBoooAACoooooCoooooCoooooooooooo", "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: oooBBBoooAACoooooCoooooCoooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>1\n"]}} {"board": "oAAoBoCCooBoooooBoDDDoooooEoFFooEooo", "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: oAAoBoCCooBoooooBoDDDoooooEoFFooEooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "oAABooCCCBoooooBDDoooooooooEoooFFEGG", "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: oAABooCCCBoooooBDDoooooooooEoooFFEGG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "ooooooooooooooooooooBAACooBDoCooBDoC", "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: ooooooooooooooooooooBAACooBDoCooBDoC\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^3,A>1\n"]}} {"board": "oooooooooooooooooBoooCoBoooCoBAAoCoo", "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: oooooooooooooooooBoooCoBoooCoBAAoCoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>4\n"]}} {"board": "oBCDDDoBCAAEoBFFoEGGooHooIIoHooJJJHo", "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: oBCDDDoBCAAEoBFFoEGGooHooIIoHooJJJHo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,A>1\n"]}} {"board": "oBoCoooBoCoooBooDooAAoDooooooooooooo", "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: oBoCoooBoCoooBooDooAAoDooooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>3\n"]}} {"board": "oBBBooCCCDEooFoDEoGFAAoHGFooIHGoooIo", "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: oBBBooCCCDEooFoDEoGFAAoHGFooIHGoooIo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nH^2,A>2\n"]}} {"board": "oooBoooCoBoooCoBDooCAADoooEFFFooEGGG", "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: oooBoooCoBoooCoBDooCAADoooEFFFooEGGG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>2\n"]}} {"board": "ooAAoBoooooBoCoooooCDDooooEoFFooEooo", "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: ooAAoBoooooBoCoooooCDDooooEoFFooEooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "oAAoBoCDEoBoCDEoBoCFFFooGHIIJJGHoKKK", "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: oAAoBoCDEoBoCDEoBoCFFFooGHIIJJGHoKKK\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "ooBoooAABoooooBooooCoooooCoooooooooo", "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: ooBoooAABoooooBooooCoooooCoooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>4\n"]}} {"board": "ooooBoooAABooooCooDEECooDFooooDFoooo", "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: ooooBoooAABooooCooDEECooDFooooDFoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>2\n"]}} {"board": "oooBooCCCBDooooBDEooooDEooFAAEooFooo", "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: oooBooCCCBDooooBDEooooDEooFAAEooFooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,A>1\n"]}} {"board": "ooBoooooBCooooBCoooDoCoooDooEoAAooEo", "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: ooBoooooBCooooBCoooDoCoooDooEoAAooEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,A>4\n"]}} {"board": "ooBBBoCooDooCooDooEoFFFGEooooGEoAAoG", "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: ooBBBoCooDooCooDooEoFFFGEooooGEoAAoG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nG^1,A>2\n"]}} {"board": "oooooooBBBooCCCooDoEooFDoEAAFooEGGFo", "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: oooooooBBBooCCCooDoEooFDoEAAFooEGGFo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^2,A>2\n"]}} {"board": "oAAoBoooooBoCCCoBoDoEEooDooFFFGGGoHH", "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: oAAoBoooooBoCCCoBoDoEEooDooFFFGGGoHH\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "ooBBBCoAAooCoooooCoooDoooooDoooooDoo", "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: ooBBBCoAAooCoooooCoooDoooooDoooooDoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,A>3\n"]}} {"board": "ooooooooooBoooAABoCoDDooCooEEECFFooo", "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: ooooooooooBoooAABoCoDDooCooEEECFFooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,A>2\n"]}} {"board": "ooooooooBooCooBAACooooDCooooDoooooDo", "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: ooooooooBooCooBAACooooDCooooDoooooDo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,A>1\n"]}} {"board": "oooBooCCCBooDoAAEoDooFEGoooFEGoHHFoG", "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: oooBooCCCBooDoAAEoDooFEGoooFEGoHHFoG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,A>2\n"]}} {"board": "oooBBBoAAooCooooDCooEEDoooooFFGGGoHH", "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: oooBBBoAAooCooooDCooEEDoooooFFGGGoHH\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>3\n"]}} {"board": "AAoooBoooooBoooooBCCooooDDoooooooooo", "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: AAoooBoooooBoooooBCCooooDDoooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "BBBCCCoAAoDoEEEoDoFoGHDIFoGHoIJJGHoo", "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: BBBCCCoAAoDoEEEoDoFoGHDIFoGHoIJJGHoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,A>3\n"]}} {"board": "BCCCooBooooooooooooooDoooAADoooEEDoo", "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: BCCCooBooooooooooooooDoooAADoooEEDoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,A>3\n"]}} {"board": "ooooBoooAABoCDDoBoCEEEooCooooooFFoGG", "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: ooooBoooAABoCDDoBoCEEEooCooooooFFoGG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>2\n"]}} {"board": "oAAooBCDEooBCDEFoBCDEFooooooGGoHHHoo", "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: oAAooBCDEooBCDEFoBCDEFooooooGGoHHHoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "oBoooooBoAACoBoooCooooDCooEEDoooooDo", "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: oBoooooBoAACoBoooCooooDCooEEDoooooDo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>1\n"]}} {"board": "ooBBBooooCCCoooooooooooooooooDoAAooD", "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: ooBBBooooCCCoooooooooooooooooDoAAooD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>3\n"]}} {"board": "oooBBBAAoCooDooCooDooooooooEEoooFFoo", "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: oooBBBAAoCooDooCooDooooooooEEoooFFoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>4\n"]}} {"board": "BoooCoBoooCoBoAACooooooooooooooooooo", "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: BoooCoBoooCoBoAACooooooooooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv3,A>2\n"]}} {"board": "BoAAoCBoDDDCoooooCooooEoooooEooooooo", "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: BoAAoCBoDDDCoooooCooooEoooooEooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>2\n"]}} {"board": "BooCDoBooCDoBooCoEFAAooEFGGHHHFIIooo", "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: BooCDoBooCDoBooCoEFAAooEFGGHHHFIIooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,A>3\n"]}} {"board": "ooooooBBBoooooooCoAAooCooDEEoooDoooo", "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: ooooooBBBoooooooCoAAooCooDEEoooDoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>4\n"]}} {"board": "BBBooooAAoCoooooCoooooooooooooDDoooo", "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: BBBooooAAoCoooooCoooooooooooooDDoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>3\n"]}} {"board": "AAoBoooooBoooooBCCDDDoEEoFoooooFoooo", "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: AAoBoooooBoooooBCCDDDoEEoFoooooFoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oBAACooBooCooBDDCEFGGooEFooooEHHHIII", "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: oBAACooBooCooBDDCEFGGooEFooooEHHHIII\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>2\n"]}} {"board": "oooooBooooCBoooDCooooDCoAAoDoooEEooo", "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: oooooBooooCBoooDCooooDCoAAoDoooEEooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>4\n"]}} {"board": "oooBoooooBooCCCooDAAoooDEEFFFDoooooo", "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: oooBoooooBooCCCooDAAoooDEEFFFDoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,A>4\n"]}} {"board": "ooBBBoCCCooooDDDooAAoEoooooEoooooooo", "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: ooBBBoCCCooooDDDooAAoEoooooEoooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,A>4\n"]}} {"board": "oAAoBoooooBooCCoBoDEooooDEoFooDEoFGG", "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: oAAoBoooooBooCCoBoDEooooDEoFooDEoFGG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "ooooooooBoooooBoooooBoooooAAoCoDDooC", "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: ooooooooBoooooBoooooBoooooAAoCoDDooC\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>2\n"]}} {"board": "ooooooBoooooBooooooooooCooAAoCoDDooC", "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: ooooooBoooooBooooooooooCooAAoCoDDooC\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>2\n"]}} {"board": "ooooooAAoBoooooBoooooBoCoooooCoooooC", "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: ooooooAAoBoooooBoooooBoCoooooCoooooC\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "AAoooBoCCCoBDoEFFoDoEoGHIIooGHoooJJJ", "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: AAoooBoCCCoBDoEFFoDoEoGHIIooGHoooJJJ\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "ooooooooooBoooooBoooooBoooCoooAACooo", "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: ooooooooooBoooooBoooooBoooCoooAACooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>4\n"]}} {"board": "oBoCCCoBoooDEBoAADEoFFFDooooooGGHHoo", "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: oBoCCCoBoooDEBoAADEoFFFDooooooGGHHoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv2,A>1\n"]}} {"board": "BoooooBooooooooooooooCoooAACoooooCDD", "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: BoooooBooooooooooooooCoooAACoooooCDD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>3\n"]}} {"board": "ooooBooCooBooCoooooCAAoDEooooDEoFFoD", "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: ooooBooCooBooCoooooCAAoDEooooDEoFFoD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^3,A>2\n"]}} {"board": "ooooooooooooooooBoooCoBDooCooDAAoooD", "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: ooooooooooooooooBoooCoBDooCooDAAoooD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>4\n"]}} {"board": "ooooooAABoooooBooCoooooCoooooooDDDoo", "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: ooooooAABoooooBooCoooooCoooooooDDDoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "ooAAoBoCCooBoooDDooooooooooooooooEEo", "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: ooAAoBoCCooBoooDDooooooooooooooooEEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "ooooooooooooooBooooCBAADoCoooDoCoooD", "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: ooooooooooooooBooooCBAADoCoooDoCoooD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^3,A>1\n"]}} {"board": "oAAooBCCCooBooooooooDDDoooooooEEoFFo", "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: oAAooBCCCooBooooooooDDDoooooooEEoFFo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "ooAABoCCCoBoDDDoooEFGHHHEFGIIIoFoJJJ", "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: ooAABoCCCoBoDDDoooEFGHHHEFGIIIoFoJJJ\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "oooooooBBBoooooooCAAoooCoooooCoooooo", "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: oooooooBBBoooooooCAAoooCoooooCoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>4\n"]}} {"board": "oooooooooooooAAoBoooooBooooooCoooooC", "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: oooooooooooooAAoBoooooBooooooCoooooC\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^2,A>3\n"]}} {"board": "ooooooAAooBoooooBoooooooooCCCoDDDooo", "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: ooooooAAooBoooooBoooooooooCCCoDDDooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "BBBoooooooooCoooooCooooDEEEooDooAAoD", "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: BBBoooooooooCoooooCooooDEEEooDooAAoD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>2\n"]}} {"board": "oooBooAAoBoooooBoCDDDooCooooEEFFFoGG", "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: oooBooAAoBoooooBoCDDDooCooooEEFFFoGG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>4\n"]}} {"board": "oooooooooooBCoAAoBCooooBCoDDoooooooo", "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: oooooooooooBCoAAoBCooooBCoDDoooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>2\n"]}} {"board": "oooooooooooooooooooBBBoCoooAACooDDoC", "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: oooooooooooooooooooBBBoCoooAACooDDoC\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>1\n"]}} {"board": "ooBCCCDoBEEEDAAFooGHHFIJGKooIJGKooIo", "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: ooBCCCDoBEEEDAAFooGHHFIJGKooIJGKooIo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nFv1,A>3\n"]}} {"board": "oooooooooooooAABoooooBoooCCDDDoooooo", "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: oooooooooooooAABoooooBoooCCDDDoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^2,A>3\n"]}} {"board": "oooBBBoCCCooooDDDoooEEEFoAAooFoooooF", "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: oooBBBoCCCooooDDDoooEEEFoAAooFoooooF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^2,A>3\n"]}} {"board": "ooooooooAAoBCCoooBoooDoBoooDooEEoDoo", "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: ooooooooAAoBCCoooBoooDoBoooDooEEoDoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "ooooooooBoCDooBoCDEFAAoDEFooGGoFoooo", "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: ooooooooBoCDooBoCDEFAAoDEFooGGoFoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>2\n"]}} {"board": "oBAAoCoBoDDCEEEoooFoGGHHFIIJJJooooKK", "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: oBAAoCoBoDDCEEEoooFoGGHHFIIJJJooooKK\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>2\n"]}} {"board": "oooBoooooBoooAAooCDooooCDooooCDoEEoo", "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: oooBoooooBoooAAooCDooooCDooooCDoEEoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>3\n"]}} {"board": "ooooBoooooBoooAABooooCoDoooCoDoEECoD", "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: ooooBoooooBoooAABooooCoDoooCoDoEECoD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv3,A>2\n"]}} {"board": "ooAABoooooBooooooCoDDoECFGHHEoFGooEo", "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: ooAABoooooBooooooCoDDoECFGHHEoFGooEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "oooooooooooooAABoooooBCCoDDEEEoFFooo", "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: oooooooooooooAABoooooBCCoDDEEEoFFooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^2,A>3\n"]}} {"board": "ooooooBooooCBooooCBoAADoEEooDoooooDo", "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: ooooooBooooCBooooCBoAADoEEooDoooooDo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^3,A>2\n"]}} {"board": "ooBoooooBoooooCCCoDEoooFDEAAoFDooooF", "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: ooBoooooBoooooCCCoDEoooFDEAAoFDooooF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^2,A>2\n"]}} {"board": "oooooooooooooooooooAABoooooBCCDDoBoo", "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: oooooooooooooooooooAABoooooBCCDDoBoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^3,A>3\n"]}} {"board": "oooooBoooAABoCCoooDoooEoDoooEoooooEo", "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: oooooBoooAABoCCoooDoooEoDoooEoooooEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>1\n"]}} {"board": "ooBooCooBooCoooooooAADoooooDoooooDoo", "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: ooBooCooBooCoooooooAADoooooDoooooDoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^3,A>3\n"]}} {"board": "oAAooBCCCooBoooooBoooooooooooooooDDo", "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: oAAooBCCCooBoooooBoooooooooooooooDDo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "oooBBBCDooEoCDooEooooFEooAAFoooooFoo", "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: oooBBBCDooEoCDooEooooFEooAAFoooooFoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^2,A>3\n"]}} {"board": "oAAooBCCCoDBEEEoDBFFFGDoHIIGooHJJJKK", "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: oAAooBCCCoDBEEEoDBFFFGDoHIIGooHJJJKK\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "ooooooBCoooDBCoooDoCEooDooEFFFAAEooo", "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: ooooooBCoooDBCoooDoCEooDooEFFFAAEooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,A>4\n"]}} {"board": "oooBBBoCCCoooooooooDDDEoooooEoooAAEo", "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: oooBBBoCCCoooooooooDDDEoooooEoooAAEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,A>2\n"]}} {"board": "ooooooooooooooooooooAAoBoooooBooCCoB", "size": 6, "moves": 2, "solution": ["B^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: ooooooooooooooooooooAAoBoooooBooCCoB\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^3,A>2\n"]}} {"board": "oooBoooooBooAAoBooCCooDDoooooooooooo", "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: oooBoooooBooAAoBooCCooDDoooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv3,A>4\n"]}} {"board": "AAoBoooooBCCDDDBoooEEooFooGGGFHHIIIF", "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: AAoBoooooBCCDDDBoooEEooFooGGGFHHIIIF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "BoooooBooooCBAAooCoDoooooDoooooooooo", "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: BoooooBooooCBAAooCoDoooooDoooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>3\n"]}} {"board": "oBoooooBooCooBDoCEooDAAEFFoGGGHHHIII", "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: oBoooooBooCooBDoCEooDAAEFFoGGGHHHIII\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,A>1\n"]}} {"board": "ooooBoooooBoooAABooooooooooooCoDDDoC", "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: ooooBoooooBoooAABooooooooooooCoDDDoC\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv3,A>2\n"]}} {"board": "BooCCCBooDDDoEEEooooooooooAAoFoooooF", "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: BooCCCBooDDDoEEEooooooooooAAoFoooooF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^2,A>2\n"]}} {"board": "oooooooooooooAABoooooBoCooDooCooDooC", "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: oooooooooooooAABoooooBoCooDooCooDooC\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^2,A>3\n"]}} {"board": "ooooBoooooBoCoAABoCoDDoooooooooooooo", "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: ooooBoooooBoCoAABoCoDDoooooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv3,A>2\n"]}} {"board": "oooooooooooBoAAooBCCDDooEEoooooooooo", "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: oooooooooooBoAAooBCCDDooEEoooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,A>3\n"]}} {"board": "oooooBoooooBCCCooooooooDoooAADooEEEo", "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: oooooBoooooBCCCooooooooDoooAADooEEEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>1\n"]}} {"board": "oooooBoooooBoCAADooCEoDoooEoDoooEooo", "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: oooooBoooooBoCAADooCEoDoooEoDoooEooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,A>2\n"]}} {"board": "oBBBoooAAooCoooooCDoooECDoooEoooooEo", "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: oBBBoooAAooCoooooCDoooECDoooEoooooEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>3\n"]}} {"board": "BoCDooBoCDEoBoooEooFGAAHoFGIIHoFGoJJ", "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: BoCDooBoCDEoBoooEooFGAAHoFGIIHoFGoJJ\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nH^2,A>1\n"]}} {"board": "oooooooooooBoooAABoooooBooooooCCoooo", "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: oooooooooooBoooAABoooooBooooooCCoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>1\n"]}} {"board": "ooooooooAAoBoooooBCCoDooooEDooooEDoo", "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: ooooooooAAoBoooooBCCoDooooEDooooEDoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "oAAooBCCoooBoooDooooEDooooEDoooooooo", "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: oAAooBCCoooBoooDooooEDooooEDoooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "oooooBooAAoBooCCooooDDoooEEEoooooFFo", "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: oooooBooAAoBooCCooooDDoooEEEoooooFFo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>2\n"]}} {"board": "BCCCooBDoooEBDFFFEGAAooEGHHHIIGooooo", "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: BCCCooBDoooEBDFFFEGAAooEGHHHIIGooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,A>3\n"]}} {"board": "oooAABooCCoBooDDoBoooooooEoFFFoEoooo", "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: oooAABooCCoBooDDoBoooooooEoFFFoEoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>1\n"]}} {"board": "oooBCoDDDBCoooooCoooAAoEFooGGEFHHHoE", "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: oooBCoDDDBCoooooCoooAAoEFooGGEFHHHoE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^3,A>2\n"]}} {"board": "oooooooooooBCooooBCooAABoooDDooooooo", "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: oooooooooooBCooooBCooAABoooDDooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,A>1\n"]}} {"board": "oAAoBoCCooBooDooBooDEooooDEoFFooEooo", "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: oAAoBoCCooBooDooBooDEooooDEoFFooEooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "BBBCoooDoCEoFDGoEHFDGoEHIooAAHIJJJKK", "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: BBBCoooDoCEoFDGoEHFDGoEHIooAAHIJJJKK\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nH^1,A>1\n"]}} {"board": "oooooooooooBoAAooBCCCoooooooDoooooDo", "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: oooooooooooBoAAooBCCCoooooooDoooooDo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,A>3\n"]}} {"board": "AAoBooooCBoDooCBEDooCoEoFFooEGoooooG", "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: AAoBooooCBoDooCBEDooCoEoFFooEGoooooG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oBoooooBAACooBooCDEFFooDEooGoDoooGHH", "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: oBoooooBAACooBooCDEFFooDEooGoDoooGHH\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>2\n"]}} {"board": "oooooBooCAABooCooBoooooooooooooooooo", "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: oooooBooCAABooCooBoooooooooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>1\n"]}} {"board": "AABoooooBCCoooBDDDoooooooooooooooooo", "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: AABoooooBCCoooBDDDoooooooooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oooooooooBoooAABooCoooooCoooooCooooo", "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: oooooooooBoooAABooCoooooCoooooCooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,A>3\n"]}} {"board": "oooBBBooAACoDDDoCEFFFGCEoooGoEoooHHH", "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: oooBBBooAACoDDDoCEFFFGCEoooGoEoooHHH\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>2\n"]}} {"board": "oooooooooAABoCoooBoCDDDBoooooooooooo", "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: oooooooooAABoCoooBoCDDDBoooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>1\n"]}} {"board": "BBBooCooDooCooDAACooDooooEEEoooooooo", "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: BBBooCooDooCooDAACooDooooEEEoooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv3,A>1\n"]}} {"board": "BBBoCoooAACoooDDooooooooooooEoooooEo", "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: BBBoCoooAACoooDDooooooooooooEoooooEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,A>2\n"]}} {"board": "BBBoooooooooCCCoDoAAooDoooEEDoooooFF", "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: BBBoooooooooCCCoDoAAooDoooEEDoooooFF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,A>4\n"]}} {"board": "oooBBBoooooCAAoooCoDDooCoooooooooooo", "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: oooBBBoooooCAAoooCoDDooCoooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,A>4\n"]}} {"board": "ooooooooooooooooooAAoooBooCooBooCooo", "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: ooooooooooooooooooAAoooBooCooBooCooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^2,A>4\n"]}} {"board": "BBBCooAAoCoooooCooDoooooDoooooDooooo", "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: BBBCooAAoCoooooCooDoooooDoooooDooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,A>4\n"]}} {"board": "oooooooooooooooBooAAoBoooooBooCCoooo", "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: oooooooooooooooBooAAoBoooooBooCCoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^2,A>4\n"]}} {"board": "oooooBooCooBooCoooDooooEDooAAEDFFFoo", "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: oooooBooCooBooCoooDooooEDooAAEDFFFoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,A>1\n"]}} {"board": "oooBBBCoooooCoooooAAooDoooooDooooooo", "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: oooBBBCoooooCoooooAAooDoooooDooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,A>4\n"]}} {"board": "BoCooDBoCoEDBooFEoGGGFEooAAFooooooHH", "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: BoCooDBoCoEDBooFEoGGGFEooAAFooooooHH\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,A>3\n"]}} {"board": "BoCCCoBoooooooooooAAoooDoooooDooEEoo", "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: BoCCCoBoooooooooooAAoooDoooooDooEEoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,A>4\n"]}} {"board": "oooBBBoooooCoooAACoooooCoDoooooDEEEo", "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: oooBBBoooooCoooAACoooooCoDoooooDEEEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,A>1\n"]}} {"board": "oooAABCCCDoBoooDoBEoFDooEoFGGoEoFHHH", "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: oooAABCCCDoBoooDoBEoFDooEoFGGoEoFHHH\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>1\n"]}} {"board": "oooBoooooBoooCoooooCAAoDECoooDEooooD", "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: oooBoooooBoooCoooooCAAoDECoooDEooooD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^3,A>2\n"]}} {"board": "oooooooooooooooooBooAAoBoCCooBoooooo", "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: oooooooooooooooooBooAAoBoCCooBoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^2,A>2\n"]}} {"board": "BoooooBCCCDoEEEoDooooAAFGHHIIFGoJJoo", "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: BoooooBCCCDoEEEoDooooAAFGHHIIFGoJJoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^2,A>1\n"]}} {"board": "oAABoooCoBDDoCEoooooEoooFoooGoFoooGo", "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: oAABoooCoBDDoCEoooooEoooFoooGoFoooGo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "oooooBooAAoBoCoooooCoooooooooooDDooo", "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: oooooBooAAoBoCoooooCoooooooooooDDooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>2\n"]}} {"board": "oAAooBoooCCBoDoooBoDEooooDEFFFGGEooo", "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: oAAooBoooCCBoDoooBoDEooooDEFFFGGEooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "oooooooooBBBooooCoooooCoooooCDoAAooD", "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: oooooooooBBBooooCoooooCoooooCDoAAooD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>3\n"]}} {"board": "ooooooooooooooooBoCCCDBoAAoDoooooEEo", "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: ooooooooooooooooBoCCCDBoAAoDoooooEEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>4\n"]}} {"board": "ooBooooCBooooCBoooDooEFoDooEFoAAooFo", "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: ooBooooCBooooCBoooDooEFoDooEFoAAooFo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,A>4\n"]}} {"board": "ooooBooAAoBooooooooooooooCCooooooDDD", "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: ooooBooAAoBooooooooooooooCCooooooDDD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>3\n"]}} {"board": "oooooooBCooDoBCAADoBCooDooooooEEoooo", "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: oooooooBCooDoBCAADoBCooDooooooEEoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv2,A>1\n"]}} {"board": "ooooBooAAoBooooCoooooCoDoooCoDoooooo", "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: ooooBooAAoBooooCoooooCoDoooCoDoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>3\n"]}} {"board": "oAAoBoCCCoBooooooooooDEEoFFDoooooDoo", "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: oAAoBoCCCoBooooooooooDEEoFFDoooooDoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "BoCoooBoCoooooCooDEoAAoDEooooDEoFFFo", "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: BoCoooBoCoooooCooDEoAAoDEooooDEoFFFo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,A>2\n"]}} {"board": "ooBBBooAACoooooCooDDEoooooEoFGooooFG", "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: ooBBBooAACoooooCooDDEoooooEoFGooooFG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>3\n"]}} {"board": "oooooooAAooBCooooBCoooooCooooooooooo", "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: oooooooAAooBCooooBCoooooCooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "oooBoooooBCoDDDoCoEAAoCoEooFFoEGGHHH", "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: oooBoooooBCoDDDoCoEAAoCoEooFFoEGGHHH\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>3\n"]}} {"board": "BCooooBCoooooCAAoDoEEEoDooFFoooooooo", "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: BCooooBCoooooCAAoDoEEEoDooFFoooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,A>2\n"]}} {"board": "oAAooBooCCCBDDooooooEoFoooEGFoooEGFo", "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: oAAooBooCCCBDDooooooEoFoooEGFoooEGFo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "ooBBBoooCCCoDoooooDoAAoEDooFFEGGGooE", "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: ooBBBoooCCCoDoooooDoAAoEDooFFEGGGooE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^3,A>2\n"]}} {"board": "oooBBBooooooooooooooAAoCoooDoCoooDoo", "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: oooBBBooooooooooooooAAoCoooDoCoooDoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>2\n"]}} {"board": "ooBBBooooooooooAACDoEooCDoEoooDoEFFF", "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: ooBBBooooooooooAACDoEooCDoEoooDoEFFF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>1\n"]}} {"board": "oooBBBAACoooDDCEEoFoCoGGFooHooFooHoo", "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: oooBBBAACoooDDCEEoFoCoGGFooHooFooHoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>4\n"]}} {"board": "ooBoooooBoooooBooooooooCooAAoCDDDooC", "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: ooBoooooBoooooBooooooooCooAAoCDDDooC\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>2\n"]}} {"board": "oBoAACoBoooCoBoooooDDoEFoGoHEFoGoHEo", "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: oBoAACoBoooCoBoooooDDoEFoGoHEFoGoHEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>1\n"]}} {"board": "oooBoooCoBDooCAADooooEEoooFFFooooooo", "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: oooBoooCoBDooCAADooooEEoooFFFooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>2\n"]}} {"board": "oBoAACoBoooCDBEEEoDoFGGGoHFIJooHFIJo", "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: oBoAACoBoooCDBEEEoDoFGGGoHFIJooHFIJo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>1\n"]}} {"board": "BoooooBCooooBCoooooCAAoDoooooDoooooD", "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: BoooooBCooooBCoooooCAAoDoooooDoooooD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^3,A>2\n"]}} {"board": "ooooooooBoooooBoooooBCoooooCoooAACoo", "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: ooooooooBoooooBoooooBCoooooCoooAACoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>3\n"]}} {"board": "oooooBoooooBoooooBoAAoCoooooCoooDDCo", "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: oooooBoooooBoooooBoAAoCoooooCoooDDCo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^3,A>3\n"]}} {"board": "ooooooBBBCoooAACooDDoCoooooooooooooo", "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: ooooooBBBCoooAACooDDoCoooooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,A>3\n"]}} {"board": "oooooooAAoBoooCCBoDoooBoDoooooDooooo", "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: oooooooAAoBoooCCBoDoooBoDoooooDooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "AABoooooBoooooooooooCCoooooooooooooo", "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: AABoooooBoooooooooooCCoooooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oooBBBoooooCAAoooCoDoooCoDoooooDoooo", "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: oooBBBoooooCAAoooCoDoooCoDoooooDoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,A>4\n"]}} {"board": "ooooooAABoooooBCCCoooooooooooooooDDD", "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: ooooooAABoooooBCCCoooooooooooooooDDD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oAAoBoooooBooCoooooCDDEEoCFGGGHHFIII", "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: oAAoBoooooBooCoooooCDDEEoCFGGGHHFIII\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "oooBoooooBoCoAAooCoDoooCoDoooooDEEEo", "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: oooBoooooBoCoAAooCoDoooCoDoooooDEEEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,A>3\n"]}} {"board": "oooooooooooooBBBoCooAAoCoDoooCoDoooo", "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: oooooooooooooBBBoCooAAoCoDoooCoDoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>2\n"]}} {"board": "BCCCooBoDDDoooAAEoooFoEoooFoooGGFooo", "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: BCCCooBoDDDoooAAEoooFoEoooFoooGGFooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,A>2\n"]}} {"board": "AAoooBoooooBCCCooBoooooooooooooooooo", "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: AAoooBoooooBCCCooBoooooooooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oooBoooooBoooooBooooooCoAAooCooooooo", "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: oooBoooooBoooooBooooooCoAAooCooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>4\n"]}} {"board": "ooooBoooooBoAACoooooCoooooCooooooDDo", "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: ooooBoooooBoAACoooooCoooooCooooooDDo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>4\n"]}} {"board": "ooBCDEooBCDEoooCDEooAAFoooooFooooooo", "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: ooBCDEooBCDEoooCDEooAAFoooooFooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nFv1,A>2\n"]}} {"board": "oooBBBCoooooCoAADoCoEoDoooEoooooEFFF", "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: oooBBBCoooooCoAADoCoEoDoooEoooooEFFF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,A>2\n"]}} {"board": "oAAoBooooCBoDDoCooooooooooooEoooooEo", "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: oAAoBooooCBoDDoCooooooooooooEoooooEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "AAoBooCCDBoEooDooEooDoFFGGHHIIJJJoKK", "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: AAoBooCCDBoEooDooEooDoFFGGHHIIJJJoKK\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oooBoooAABoooooBCCDDoooEoooooEoooooE", "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: oooBoooAABoooooBCCDDoooEoooooEoooooE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>3\n"]}} {"board": "ooAABoooooBoooCCooooooooDDoooooooooo", "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: ooAABoooooBoooCCooooooooDDoooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "oooooBoAAooBoCCooooooooooooooooooDDD", "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: oooooBoAAooBoCCooooooooooooooooooDDD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>3\n"]}} {"board": "oooooooBBBoooCCCoDAAoooDoooEEEFFFGGG", "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: oooooooBBBoooCCCoDAAoooDoooEEEFFFGGG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>4\n"]}} {"board": "oooooooooBoooooBCooooBCoooAACooooooo", "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: oooooooooBoooooBCooooBCoooAACooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>2\n"]}} {"board": "oooBBBCCCoooDDDoEooAAoEoFFFGGGooHHoo", "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: oooBBBCCCoooDDDoEooAAoEoFFFGGGooHHoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,A>3\n"]}} {"board": "oooBBBooooooooooooCoooDoCoAADoCoooDo", "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: oooBBBooooooooooooCoooDoCoAADoCoooDo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,A>2\n"]}} {"board": "ooAABoooooBoooooBoooCoooooCooooooooo", "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: ooAABoooooBoooooBoooCoooooCooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "ooooooooBoooooBooooooooCoooAACoooDDD", "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: ooooooooBoooooBooooooooCoooAACoooDDD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>1\n"]}} {"board": "oooAABoCCoDBEEEoDBooFoooGGFoooooFooo", "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: oooAABoCCoDBEEEoDBooFoooGGFoooooFooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>1\n"]}} {"board": "ooooooooBCCCooBoDooAAoDooooooooooooo", "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: ooooooooBCCCooBoDooAAoDooooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv2,A>3\n"]}} {"board": "oAAooBoooooBoooooBoooooooooCCoDDDEEo", "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: oAAooBoooooBoooooBoooooooooCCoDDDEEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "ooAAoBoooooBooCoooooCoooooCooooooooo", "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: ooAAoBoooooBooCoooooCoooooCooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "oAAooBooCCoBoooooBoooDDooooEEEoooooo", "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: oAAooBooCCoBoooooBoooDDooooEEEoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "oooBoooAABooooooooooooCoooooCoooooCo", "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: oooBoooAABooooooooooooCoooooCoooooCo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>3\n"]}} {"board": "oooooBoooooBoAAooBCDooEoCDooEooDoooo", "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: oooooBoooooBoAAooBCDooEoCDooEooDoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv3,A>3\n"]}} {"board": "oAAoBoCCooBoDDoooooooEoFoooEoFooGGGo", "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: oAAoBoCCooBoDDoooooooEoFoooEoFooGGGo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "oooBBBCDDDEoCoFoEoooFoEGooFAAGHHHIII", "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: oooBBBCDDDEoCoFoEoooFoEGooFAAGHHHIII\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nG^1,A>1\n"]}} {"board": "oooooooooAABoooooBoooooBooCoooooCDDo", "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: oooooooooAABoooooBoooooBooCoooooCDDo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>1\n"]}} {"board": "BoCoooBoCooDBoAAoDEEEooooooooooooooo", "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: BoCoooBoCooDBoAAoDEEEooooooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>2\n"]}} {"board": "AAoooBooCCCBoDDDEoFGoHEIFGoHEIFGoHoI", "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: AAoooBooCCCBoDDDEoFGoHEIFGoHEIFGoHoI\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oBAAoCoBoooCDBoEooDooEooDooFFFGGooHH", "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: oBAAoCoBoooCDBoEooDooEooDooFFFGGooHH\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>2\n"]}} {"board": "BBBooooCCCoDooAAoDoEoooFoEGGoFoEHHHF", "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: BBBooooCCCoDooAAoDoEoooFoEGGoFoEHHHF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>2\n"]}} {"board": "oooBoooooBoooAABoooCoooDoCoooDoCoooD", "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: oooBoooooBoooAABoooCoooDoCoooDoCoooD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv3,A>3\n"]}} {"board": "oBCCCooBDDDoEBAAoFEGoHoFoGoHoIoGoHoI", "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: oBCCCooBDDDoEBAAoFEGoHoFoGoHoIoGoHoI\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^2,A>2\n"]}} {"board": "oooBBBoooCCCAAoooDoEFooDoEFooDoEoooo", "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: oooBBBoooCCCAAoooDoEFooDoEFooDoEoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,A>4\n"]}} {"board": "oooooooBoooooBCooooBCooDooCAADEEEooD", "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: oooooooBoooooBCooooBCooDooCAADEEEooD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,A>1\n"]}} {"board": "oooAABoooCCBDDDoooEFooooEFoGGoEFoHHH", "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: oooAABoooCCBDDDoooEFooooEFoGGoEFoHHH\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>1\n"]}} {"board": "oooAABoooooBoooCoooooCoooooooooooDDo", "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: oooAABoooooBoooCoooooCoooooooooooDDo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>1\n"]}} {"board": "ooooooAAoooBoooCoBoooCoBoDDDoooooooo", "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: ooooooAAoooBoooCoBoooCoBoDDDoooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "ooooooooooooooooooBoooCDBoooCDBAAoCo", "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: ooooooooooooooooooBoooCDBoooCDBAAoCo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>3\n"]}} {"board": "BoooooBoooooooooCoooAACooDEEoooDoooo", "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: BoooooBoooooooooCoooAACooDEEoooDoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>2\n"]}} {"board": "oooBBBooooooooCoooooCooDooCooDAAoooD", "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: oooBBBooooooooCoooooCooDooCooDAAoooD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>4\n"]}} {"board": "ooAAoBCCCooBoooDDBEFFoooEooGGoEooHHH", "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: ooAAoBCCCooBoooDDBEFFoooEooGGoEooHHH\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "AABooooCBooooCooooooDDDooooEoooooEoo", "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: AABooooCBooooCooooooDDDooooEoooooEoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oooooooooooBooCooBoDCAABoDCooooooEEo", "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: oooooooooooBooCooBoDCAABoDCooooooEEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,A>1\n"]}} {"board": "ooooBoooCoBDooCooDooCAADEEooFoooooFo", "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: ooooBoooCoBDooCooDooCAADEEooFoooooFo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>1\n"]}} {"board": "BooCCCBAAooDoooooDooooEDFFooEooGGGoo", "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: BooCCCBAAooDoooooDooooEDFFooEooGGGoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,A>3\n"]}} {"board": "oooooBoooAABCCCooooooooooooooooDDooo", "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: oooooBoooAABCCCooooooooooooooooDDooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>1\n"]}} {"board": "oooBBBCoDDDECAAooEoFFooEGoooHoGoooHo", "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: oooBBBCoDDDECAAooEoFFooEGoooHoGoooHo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv2,A>3\n"]}} {"board": "oBCCCooBoDDDoBEoFoooEGFHooEGoHAAoooH", "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: oBCCCooBoDDDoBEoFoooEGFHooEGoHAAoooH\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nH^1,A>4\n"]}} {"board": "BoooooBCooDoBCooDooCoAAEoooFoEoooFoE", "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: BoooooBCooDoBCooDooCoAAEoooFoEoooFoE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^3,A>1\n"]}} {"board": "oooooBoooAABoCCCoBoooDDoooooooEEoooo", "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: oooooBoooAABoCCCoBoooDDoooooooEEoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>1\n"]}} {"board": "BCoDDDBCoEEEFooGGGFHHHooFoooIoooAAIo", "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: BCoDDDBCoEEEFooGGGFHHHooFoooIoooAAIo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nI^1,A>2\n"]}} {"board": "AAoooBoCoooBDCoEEBDFGGGooFooHHIIIooo", "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: AAoooBoCoooBDCoEEBDFGGGooFooHHIIIooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oooBoooooBoCoooBoCoooooCDoooEoDAAoEo", "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: oooBoooooBoCoooBoCoooooCDoooEoDAAoEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,A>3\n"]}} {"board": "oBoooooBooCooBoDCooEoDoFoEGAAFoEGooo", "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: oBoooooBooCooBoDCooEoDoFoEGAAFoEGooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,A>1\n"]}} {"board": "BoooooBooCooBooCoooDAAoEoDoFFEoDoooE", "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: BoooooBooCooBooCoooDAAoEoDoFFEoDoooE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^3,A>2\n"]}} {"board": "ooBBBooooooooooooCooooDCooooDoAAooDo", "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: ooBBBooooooooooooCooooDCooooDoAAooDo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>4\n"]}} {"board": "BBBCoooooCoooooCooooDDDEoAAooEoooooE", "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: BBBCoooooCoooooCooooDDDEoAAooEoooooE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^2,A>3\n"]}} {"board": "BoCCCoBooAADooEEoDFooGGoFooHHHFIIJJJ", "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: BoCCCoBooAADooEEoDFooGGoFooHHHFIIJJJ\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,A>1\n"]}} {"board": "ooooBooAAoBoCCooBooDoooooDooooooEEoo", "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: ooooBooAAoBoCCooBooDoooooDooooooEEoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>3\n"]}} {"board": "BoCCCoBoooDoEEEoDFoooAAFGGoHHHIIIJJJ", "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: BoCCCoBoooDoEEEoDFoooAAFGGoHHHIIIJJJ\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,A>1\n"]}} {"board": "oooAABoooooBoCCCoBDDoEEoFooGHHFooGoo", "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: oooAABoooooBoCCCoBDDoEEoFooGHHFooGoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>1\n"]}} {"board": "oooBBBAAoooCoooooCDDooECFGGGEoFoooEo", "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: oooBBBAAoooCoooooCDDooECFGGGEoFoooEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>4\n"]}} {"board": "BBBoCooooDCoEEEDCFGHoAAFGHoIIJGHKKKJ", "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: BBBoCooooDCoEEEDCFGHoAAFGHoIIJGHKKKJ\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,A>1\n"]}} {"board": "oooooBoooooBoooooCoAAooCoDoooooDoooo", "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: oooooBoooooBoooooCoAAooCoDoooooDoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,A>3\n"]}} {"board": "ooooooooooooAAoooBoooooBooooCCoooooo", "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: ooooooooooooAAoooBoooooBooooCCoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^2,A>4\n"]}} {"board": "oooooooooBBBooooooooooooAAooCoDDooCo", "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: oooooooooBBBooooooooooooAAooCoDDooCo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>4\n"]}} {"board": "oooooooooooBoooAABoooooBooCCCooooooo", "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: oooooooooooBoooAABoooooBooCCCooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>1\n"]}} {"board": "oooooooBoAACoBDDoCEBoFooEooFoGEooFoG", "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: oooooooBoAACoBDDoCEBoFooEooFoGEooFoG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>1\n"]}} {"board": "oooooBoooAABoooooBoooCooooDCooooDCoo", "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: oooooBoooAABoooooBoooCooooDCooooDCoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>1\n"]}} {"board": "AABoooCCBDDDooBooooooEoFoooEoFGGoooF", "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: AABoooCCBDDDooBooooooEoFoooEoFGGoooF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oooAABoCCCoBoDoEEBoDoFooooGFoHooGooH", "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: oooAABoCCCoBoDoEEBoDoFooooGFoHooGooH\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>1\n"]}} {"board": "ooooooooooooooooBoCAAoBoCoooBooooooo", "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: ooooooooooooooooBoCAAoBoCoooBooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^2,A>3\n"]}} {"board": "oooBooAAoBoooooooooooooooCoooooCoooo", "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: oooBooAAoBoooooooooooooooCoooooCoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>4\n"]}} {"board": "oooooBooAAoBooCCCBDDEFooooEFooGGoFoo", "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: oooooBooAAoBooCCCBDDEFooooEFooGGoFoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>2\n"]}} {"board": "ooooBoooooBCoooAACooooDoEEEFDooGGFoo", "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: ooooBoooooBCoooAACooooDoEEEFDooGGFoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>1\n"]}} {"board": "BCDoooBCDEooBAAEooFFoGGGHoIIoJHooKKJ", "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: BCDoooBCDEooBAAEooFFoGGGHoIIoJHooKKJ\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,A>3\n"]}} {"board": "oBBBoooAAoCoooooCooooooooDDDoooooooo", "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: oBBBoooAAoCoooooCooooooooDDDoooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>3\n"]}} {"board": "ooBoooooBooooooooCoooooCooAAoCDDoooo", "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: ooBoooooBooooooooCoooooCooAAoCDDoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>2\n"]}} {"board": "oooooooooooBCooDoBCAADooCEEDooooooFF", "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: oooooooooooBCooDoBCAADooCEEDooooooFF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,A>3\n"]}} {"board": "BooCCCBoooDoBoooDoooooDEoAAooEoFFooE", "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: BooCCCBoooDoBoooDoooooDEoAAooEoFFooE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^2,A>3\n"]}} {"board": "oooooooooooooooooooBCoDEoBCoDEoBCAAE", "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: oooooooooooooooooooBCoDEoBCoDEoBCAAE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,A>1\n"]}} {"board": "oAAooBoooooBoooCCoooDDoooooEEEFFoooo", "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: oAAooBoooooBoooCCoooDDoooooEEEFFoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "BBBoooooooooooooCooAAoCoDDooCooEEooo", "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: BBBoooooooooooooCooAAoCoDDooCooEEooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>3\n"]}} {"board": "oooooBoooAABoooooooCDDoooCoooooooooo", "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: oooooBoooAABoooooooCDDoooCoooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>1\n"]}} {"board": "ooooooAAoBoooooBooCCoooooooooooDDDoo", "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: ooooooAAoBoooooBooCCoooooooooooDDDoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "ooBBBoooooooCoooooCooooooooDoooAADoo", "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: ooBBBoooooooCoooooCooooooooDoooAADoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>3\n"]}} {"board": "BAAoCoBDoECFBDoECFGGGEoHIooooHIooJJH", "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: BAAoCoBDoECFBDoECFGGGEoHIooooHIooJJH\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>3\n"]}} {"board": "ooooooooooooBAAoCoBoooCooooDDooooooo", "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: ooooooooooooBAAoCoBoooCooooDDooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>3\n"]}} {"board": "oooooooooooooBoooCoBoAACDoEoooDoEooo", "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: oooooooooooooBoooCoBoAACDoEoooDoEooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>1\n"]}} {"board": "ooBBBCDDDEoCAAoEoooooEooooFoooooFooo", "size": 6, "moves": 2, "solution": ["Ev2", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBCDDDEoCAAoEoooooEooooFoooooFooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv2,A>4\n"]}} {"board": "oooAABCooooBCooooBCoooooooDDDoooEEEo", "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: oooAABCooooBCooooBCoooooooDDDoooEEEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>1\n"]}} {"board": "oooooooooooooooAABoooooBoooooCoDDooC", "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: oooooooooooooooAABoooooBoooooCoDDooC\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^2,A>1\n"]}} {"board": "ooooBoAAooBooooooooCDDoooCoEEEoCoFFF", "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: ooooBoAAooBooooooooCDDoooCoEEEoCoFFF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>4\n"]}} {"board": "oooooooooooooooooooBCDDDoBCoooAACooo", "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: oooooooooooooooooooBCDDDoBCoooAACooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>4\n"]}} {"board": "BooCCCBooooooDEAAFGDEoHFGDEoHFGooIIo", "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: BooCCCBooooooDEAAFGDEoHFGDEoHFGooIIo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nFv1,A>1\n"]}} {"board": "ooAAoBoooooBoooooBCDooooCDEEEooDoooo", "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: ooAAoBoooooBoooooBCDooooCDEEEooDoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "ooooooooooooooooBooCCCBooAAoBooDDooo", "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: ooooooooooooooooBooCCCBooAAoBooDDooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,A>3\n"]}} {"board": "AABoooooBoooooBoooooooooCoooooCooooo", "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: AABoooooBoooooBoooooooooCoooooCooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oAABoooCCBDoEooBDoEooooFoGGGoFoooooF", "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: oAABoooCCBDoEooBDoEooooFoGGGoFoooooF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "oooooooooooBoooooBoCAAoBDCEEEFDCoooF", "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: oooooooooooBoooooBoCAAoBDCEEEFDCoooF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,A>2\n"]}} {"board": "oBoooooBoCCCoooooooooooDoooooDooAAoD", "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: oBoooooBoCCCoooooooooooDoooooDooAAoD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>2\n"]}} {"board": "oooooooBoooooBooCoDAAoCoDoooooDooooo", "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: oooooooBoooooBooCoDAAoCoDoooooDooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>3\n"]}} {"board": "oooooooooooooooooBooCAABooCooBoooooo", "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: oooooooooooooooooBooCAABooCooBoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^2,A>1\n"]}} {"board": "ooooooAABoooCCBooooooDoooooDoooooDoo", "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: ooooooAABoooCCBooooooDoooooDoooooDoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oooooBooAAoBoooCooooDCEoooDoEoooDoEo", "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: oooooBooAAoBoooCooooDCEoooDoEoooDoEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>2\n"]}} {"board": "oooBBBCDooooCDooooCooooEAAoooEooooFF", "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: oooBBBCDooooCDooooCooooEAAoooEooooFF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,A>4\n"]}} {"board": "oBoCCCoBoooDoBAAoDoEFFoDoEGooooEGHHo", "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: oBoCCCoBoooDoBAAoDoEFFoDoEGooooEGHHo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv2,A>2\n"]}} {"board": "oooooooooooooooBoooooBooCooBoDCAAooD", "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: oooooooooooooooBoooooBooCooBoDCAAooD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>3\n"]}} {"board": "oBAAoCoBoooCoBoooCoooooooooDDooooooo", "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: oBAAoCoBoooCoBoooCoooooooooDDooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>2\n"]}} {"board": "ooBAACDDBEECFFoGHCIIIGHooooGHoJJJKKK", "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: ooBAACDDBEECFFoGHCIIIGHooooGHoJJJKKK\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>1\n"]}} {"board": "ooooooAAoBooCCDBooooDBoEooDooEoFFooo", "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: ooooooAAoBooCCDBooooDBoEooDooEoFFooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oooooooAAooBCooooBCooooBDDoooooooEEE", "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: oooooooAAooBCooooBCooooBDDoooooooEEE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "oAABoooooBoCoooBoCDoEooCDFEoooDFEGGG", "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: oAABoooooBoCoooBoCDoEooCDFEoooDFEGGG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "oooBBBooooooooAAoCooDDoCooEEoCoooooo", "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: oooBBBooooooooAAoCooDDoCooEEoCoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>2\n"]}} {"board": "oooBooCooBooCooBooDAAooEDoFFoEDooooE", "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: oooBooCooBooCooBooDAAooEDoFFoEDooooE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^3,A>3\n"]}} {"board": "oooooooBBBoooooCoooooCooooooDoAAooDo", "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: oooooooBBBoooooCoooooCooooooDoAAooDo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>4\n"]}} {"board": "oooooooooAABoooooBCDDDooCEooFFCEoGGG", "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: oooooooooAABoooooBCDDDooCEooFFCEoGGG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>1\n"]}} {"board": "oAAoBoCDoEBoCDoEBFGGGEoFHIIIoJHKKooJ", "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: oAAoBoCDoEBoCDoEBFGGGEoFHIIIoJHKKooJ\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "ooAAoBCDoEEBCDoooBCoFGGoooFoHHIIFJJJ", "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: ooAAoBCDoEEBCDoooBCoFGGoooFoHHIIFJJJ\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "ooBoooooBooooCBooooCooDooCAADoooooDo", "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: ooBoooooBooooCBooooCooDooCAADoooooDo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,A>2\n"]}} {"board": "oooBoooAABooCCoBooooooooooooooooooDD", "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: oooBoooAABooCCoBooooooooooooooooooDD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>3\n"]}} {"board": "oBCCCooBooooooooooooDAAEooDooEooDooE", "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: oBCCCooBooooooooooooDAAEooDooEooDooE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^3,A>1\n"]}} {"board": "AABooooCBooooCBooooDoooooDoooooDoooo", "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: AABooooCBooooCBooooDoooooDoooooDoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "ooooooAAoooBooCCCBooDDoooooooooooooo", "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: ooooooAAoooBooCCCBooDDoooooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oooBBBooCAADEoCooDEoCoooEooFFooooooo", "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: oooBBBooCAADEoCooDEoCoooEooFFooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,A>1\n"]}} {"board": "BooCCCBAAooDBooooDoEEEFDGoHoFoGoHIIo", "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: BooCCCBAAooDBooooDoEEEFDGoHoFoGoHIIo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,A>3\n"]}} {"board": "oooooBCooAABCDDEFBGoHEFoGoHEFoGoHIII", "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: oooooBCooAABCDDEFBGoHEFoGoHEFoGoHIII\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>1\n"]}} {"board": "oooooooBBBoooooooooooCooAAoCoooooooo", "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: oooooooBBBoooooooooooCooAAoCoooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>4\n"]}} {"board": "oooooBoooAABooooooooCDooooCDooooCDoo", "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: oooooBoooAABooooooooCDooooCDooooCDoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>1\n"]}} {"board": "ooooBoooooBoooooBCDEAAoCDEoooooEoFFF", "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: ooooBoooooBoooooBCDEAAoCDEoooooEoFFF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>2\n"]}} {"board": "oooooooooBBBoooooooAAoCoooooCoooDDoo", "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: oooooooooBBBoooooooAAoCoooooCoooDDoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>3\n"]}} {"board": "oAAoBoooooBooooCBoDooCooDooEEEDooFFF", "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: oAAoBoooooBooooCBoDooCooDooEEEDooFFF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "oooooooooooooooooooAAooBoooooBoooCCC", "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: oooooooooooooooooooAAooBoooooBoooCCC\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^2,A>3\n"]}} {"board": "ooooooooAABoCCooBoDoooooDoEEEoDooFFF", "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: ooooooooAABoCCooBoDoooooDoEEEoDooFFF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "oooBBBooCCCooDDDoEoFGAAEoFGooooFoHHo", "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: oooBBBooCCCooDDDoEoFGAAEoFGooooFoHHo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,A>1\n"]}} {"board": "AAoooBCDDooBCoooooEEEooFoGHIIFoGHooF", "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: AAoooBCDDooBCoooooEEEooFoGHIIFoGHooF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oooooooAABooCDDBooCoooooCooooooooooo", "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: oooooooAABooCDDBooCoooooCooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "oBAACooBDDCEFFGoCEoHGooEIHoJJoIKKooo", "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: oBAACooBDDCEFFGoCEoHGooEIHoJJoIKKooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>2\n"]}} {"board": "oooooooooooooooooBoCDooBoCDAABoCDooo", "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: oooooooooooooooooBoCDooBoCDAABoCDooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,A>1\n"]}} {"board": "AAoBoooooBCoooooCoDDooEFooooEFoGGooF", "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: AAoBoooooBCoooooCoDDooEFooooEFoGGooF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "AAoooBCDoooBCDoEEoooFFooGoHIIIGoHooo", "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: AAoooBCDoooBCDoEEoooFFooGoHIIIGoHooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oooooooooBBBoooooCDAAooCDoooooDooooo", "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: oooooooooBBBoooooCDAAooCDoooooDooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,A>3\n"]}} {"board": "oooBBBooooooCCCDoooEoDooFEooGoFEAAGo", "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: oooBBBooooooCCCDoooEoDooFEooGoFEAAGo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nG^1,A>2\n"]}} {"board": "oooBBBooAACoDoooCoDEoooooEoFFFoEGGHH", "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: oooBBBooAACoDoooCoDEoooooEoFFFoEGGHH\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>2\n"]}} {"board": "ooAAoBooCooBooCooBDEEEooDFFoooDooooo", "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: ooAAoBooCooBooCooBDEEEooDFFoooDooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "oooAABoooooBooooooooooooooooCCoooooo", "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: oooAABoooooBooooooooooooooooCCoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>1\n"]}} {"board": "ooooooooooooAAoBoooCDBoooCDBoooCDoEE", "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: ooooooooooooAAoBoooCDBoooCDBoooCDoEE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oooBBBoooooCAAoooCDoEoFoDoEoFoDGGGoo", "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: oooBBBoooooCAAoooCDoEoFoDoEoFoDGGGoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,A>4\n"]}} {"board": "ooAAoBooooCBooooCBooDDEoooooEooooooo", "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: ooAAoBooooCBooooCBooDDEoooooEooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "ooooooooooooooooooBooAACBooDoCoEEDoo", "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: ooooooooooooooooooBooAACBooDoCoEEDoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>1\n"]}} {"board": "oooBoooCoBoooCoDooEooDoFEoGDoFEoGAAF", "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: oooBoooCoBoooCoDooEooDoFEoGDoFEoGAAF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,A>1\n"]}} {"board": "ooooooAABoooCoBDDoCoBEFFCooEooGGGEoo", "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: ooooooAABoooCoBDDoCoBEFFCooEooGGGEoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oooooooBBBCoooAACoDDoooooooooooooooo", "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: oooooooBBBCoooAACoDDoooooooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>2\n"]}} {"board": "oooAABCCCooBDDoooBoooooooooooooooooo", "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: oooAABCCCooBDDoooBoooooooooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>1\n"]}} {"board": "ooAAoBoCCCDBoEEoDBoFGGooHFIIIoHFoJJJ", "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: ooAAoBoCCCDBoEEoDBoFGGooHFIIIoHFoJJJ\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "ooooooBBBooooAACoooDoCEEoDoFFFoDoooo", "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: ooooooBBBooooAACoooDoCEEoDoFFFoDoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>3\n"]}} {"board": "oBoooooBoooooCCCoDAAoooDooEooDooEooo", "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: oBoooooBoooooCCCoDAAoooDooEooDooEooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,A>4\n"]}} {"board": "ooooooooAABoooooBCoooooCoooooooooooo", "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: ooooooooAABoooooBCoooooCoooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "ooBBBoooCCCDoEEEoDFAAooDFooGGGFHHHII", "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: ooBBBoooCCCDoEEEoDFAAooDFooGGGFHHHII\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>3\n"]}} {"board": "BBBoooooAACooDDoCoooEoCFooEooFooEooF", "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: BBBoooooAACooDDoCoooEoCFooEooFooEooF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>2\n"]}} {"board": "oooooooooAABoCoooBoCoooooooooooooooo", "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: oooooooooAABoCoooBoCoooooooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>1\n"]}} {"board": "ooooooBoooooBooooCoooAACoDDooCoooooo", "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: ooooooBoooooBooooCoooAACoDDooCoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>1\n"]}} {"board": "BAACooBooCDEBFFoDEGHHoooGIooJJGIKKoo", "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: BAACooBooCDEBFFoDEGHHoooGIooJJGIKKoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>3\n"]}} {"board": "oooBoCoooBoCAAoBoooooooooooooooooooo", "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: oooBoCoooBoCAAoBoooooooooooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv3,A>4\n"]}} {"board": "oBoooooBoooCoooooCAAoooCooDEFoooDEFo", "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: oBoooooBoooCoooooCAAoooCooDEFoooDEFo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>4\n"]}} {"board": "BBBooooooooooooooCAAoooCooooDCoEEoDo", "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: BBBooooooooooooooCAAoooCooooDCoEEoDo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>4\n"]}} {"board": "oAABoooooBoooooBoooooooooooCDDoooCoo", "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: oAABoooooBoooooBoooooooooooCDDoooCoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "oooooooAAooBoooCoBoooCooDDoCoooooooo", "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: oooooooAAooBoooCoBoooCooDDoCoooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "ooooooAAooBoooCoBDoECoBDoEFooDoEFooo", "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: ooooooAAooBoooCoBDoECoBDoEFooDoEFooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "BoCoooBoCoooBoCoDoooooDoooAADooEEEoo", "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: BoCoooBoCoooBoCoDoooooDoooAADooEEEoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>2\n"]}} {"board": "ooooooooAAoBCooooBCooooBoooooooooooo", "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: ooooooooAAoBCooooBCooooBoooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "oooooooBoooooBoooCoBoooCoDDDEoooAAEo", "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: oooooooBoooooBoooCoBoooCoDDDEoooAAEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,A>2\n"]}} {"board": "ooooBoooCoBoooCoBoAACoooooooDoooooDo", "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: ooooBoooCoBoooCoBoAACoooooooDoooooDo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>4\n"]}} {"board": "ooooooooooooooBBBooooooCAAoooCoooooC", "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: ooooooooooooooBBBooooooCAAoooCoooooC\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>4\n"]}} {"board": "ooBBBooooooCoooooCooooDoooooDooAAoDo", "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: ooBBBooooooCoooooCooooDoooooDooAAoDo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>3\n"]}} {"board": "ooooooooooooooooooooooBoooAABoCCoooo", "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: ooooooooooooooooooooooBoooAABoCCoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,A>2\n"]}} {"board": "AAoBoooooBCoDoooCoDoooEoDoooEoooooEo", "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: AAoBoooooBCoDoooCoDoooEoDoooEoooooEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "ooBoooooBAACooBooCoooooooooooooooDDD", "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: ooBoooooBAACooBooCoooooooooooooooDDD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>1\n"]}} {"board": "oooooBooAAoBooCooBooCoDoooCoDoooooDo", "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: oooooBooAAoBooCooBooCoDoooCoDoooooDo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>2\n"]}} {"board": "oooBoCDDDBoCoEAAFoGEoHFIGJJHFIoKKHoI", "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: oooBoCDDDBoCoEAAFoGEoHFIGJJHFIoKKHoI\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nFv1,A>2\n"]}} {"board": "BAACooBooCooDEEoooDFoGHHoFoGIIoFoGoo", "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: BAACooBooCooDEEoooDFoGHHoFoGIIoFoGoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>3\n"]}} {"board": "ooooBooCCCBoAAoooDooEFFDooEoGHIIooGH", "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: ooooBooCCCBoAAoooDooEFFDooEoGHIIooGH\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,A>4\n"]}} {"board": "oAAooBCCoooBoooooBDoEEFoDoooFoooGGFo", "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: oAAooBCCoooBoooooBDoEEFoDoooFoooGGFo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "oBoooooBoCCCoBoooooDoooooDEooFoDEAAF", "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: oBoooooBoCCCoBoooooDoooooDEooFoDEAAF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,A>1\n"]}} {"board": "oooBooooCBooooCBoDAAoooDoooEEooooooo", "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: oooBooooCBooooCBoDAAoooDoooEEooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>4\n"]}} {"board": "ooAABoooooBCoDooBCoDoEoooooEFFoooEGG", "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: ooAABoooooBCoDooBCoDoEoooooEFFoooEGG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "oooBBBoooooooooooooooooCoAAooCoooooC", "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: oooBBBoooooooooooooooooCoAAooCoooooC\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>3\n"]}} {"board": "BoooooBCoDDDBCoEEEoFAAoGoFHooGoFHooo", "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: BoooooBCoDDDBCoEEEoFAAoGoFHooGoFHooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nGv1,A>2\n"]}} {"board": "oooBBBooooooAAoooCooDDDCooooooooEEEo", "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: oooBBBooooooAAoooCooDDDCooooooooEEEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>4\n"]}} {"board": "AABoooooBooCooBooCoooooCooDDDooooooo", "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: AABoooooBooCooBooCoooooCooDDDooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "ooooooAAoooBoooooBoooCooooDCooooDCEE", "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: ooooooAAoooBoooooBoooCooooDCooooDCEE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "ooooooBooAACBooooCDDDEoCFFGEooooGEoo", "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: ooooooBooAACBooooCDDDEoCFFGEooooGEoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>1\n"]}} {"board": "ooooooooooBoooooBoooooBCoooAACoooooC", "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: ooooooooooBoooooBoooooBCoooAACoooooC\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>1\n"]}} {"board": "ooooooooooooooooooAAoooBoCCCoBoooDDB", "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: ooooooooooooooooooAAoooBoCCCoBoooDDB\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^3,A>4\n"]}} {"board": "oAAooBooCDoBooCDooooCoEFoGHHEFoGooEF", "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: oAAooBooCDoBooCDooooCoEFoGHHEFoGooEF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "oooooooooooooooooBoAAooBCoooDBCoooDo", "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: oooooooooooooooooBoAAooBCoooDBCoooDo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^2,A>3\n"]}} {"board": "ooooooAAooBoooCoBoDoCoBoDoooooDooooo", "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: ooooooAAooBoooCoBoDoCoBoDoooooDooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oooooooBoCCCDBooooDBEEEFDooooFAAoooF", "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: oooooooBoCCCDBooooDBEEEFDooooFAAoooF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,A>4\n"]}} {"board": "ooBoooooBoooooBoCoooooCooDAACooDoooo", "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: ooBoooooBoooooBoCoooooCooDAACooDoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>2\n"]}} {"board": "oooBBBooooooCoooooCoooooCDAAoEoDoooE", "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: oooBBBooooooCoooooCoooooCDAAoEoDoooE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^2,A>2\n"]}} {"board": "oooooooAAoBoooooBCoooooCooDDoEoooooE", "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: oooooooAAoBoooooBCoooooCooDDoEoooooE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "oooooBAAoooBoooooooooooooooCDDoooCoo", "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: oooooBAAoooBoooooooooooooooCDDoooCoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>4\n"]}} {"board": "oBCCCooBDoEoFoDoEoFGoAAHFGooIHoGooIo", "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: oBCCCooBDoEoFoDoEoFGoAAHFGooIHoGooIo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nH^2,A>1\n"]}} {"board": "ooBoooooBooooooooCoAAooCoooooCoooooo", "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: ooBoooooBooooooooCoAAooCoooooCoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>3\n"]}} {"board": "oooAABCCDDDBoooooBooEFFoGGEoooHHEoII", "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: oooAABCCDDDBoooooBooEFFoGGEoooHHEoII\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>1\n"]}} {"board": "ooBBBCAAoooCDDDooCEoooooEoooooEooooo", "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: ooBBBCAAoooCDDDooCEoooooEoooooEooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,A>4\n"]}} {"board": "BoooCoBoooCoBooAADoEoooDoEoooooooooo", "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: BoooCoBoooCoBooAADoEoooDoEoooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,A>1\n"]}} {"board": "ooBBBoooCCCoAADoooooDoEEoooFFFGGooHH", "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: ooBBBoooCCCoAADoooooDoEEoooFFFGGooHH\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,A>4\n"]}} {"board": "ooBooCooBDoCooBDooAAoDoooooooooooEEE", "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: ooBooCooBDoCooBDooAAoDoooooooooooEEE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>4\n"]}} {"board": "oAAooBoCCCoBoooooBDoEEooDoooooDooooo", "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: oAAooBoCCCoBoooooBDoEEooDoooooDooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "AAooBoCCDoBoEoDoBoEoooooFoooGGFoHHoo", "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: AAooBoCCDoBoEoDoBoEoooooFoooGGFoHHoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oooBBBCoDEooCoDEooCoooFoGAAoFoGooHHH", "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: oooBBBCoDEooCoDEooCoooFoGAAoFoGooHHH\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,A>3\n"]}} {"board": "AAooBoooooBoCoooooCoDDoooooooooooooo", "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: AAooBoooooBoCoooooCoDDoooooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oAAoBoCoooBoCoooBooooooooooooooooooo", "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: oAAoBoCoooBoCoooBooooooooooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "BoooCoBoooCoBooDCoAAoDoooooEEEoooooo", "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: BoooCoBoooCoBooDCoAAoDoooooEEEoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>4\n"]}} {"board": "ooBCCCooBDDDAABooooooEEEooooooFFoGGG", "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: ooBCCCooBDDDAABooooooEEEooooooFFoGGG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv3,A>4\n"]}} {"board": "ooooooAAoooBoooooBooooooooCCCooDDooo", "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: ooooooAAoooBoooooBooooooooCCCooDDooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "BBBCCCDoEAAFDoEooFDooGGoHIIIoJHooooJ", "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: BBBCCCDoEAAFDoEooFDooGGoHIIIoJHooooJ\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nFv1,A>1\n"]}} {"board": "oooBBBoooooooCCCoooooDoooooDoEoooAAE", "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: oooBBBoooooooCCCoooooDoooooDoEoooAAE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,A>1\n"]}} {"board": "ooBoooooBoooooBoooCoooDoCoooDoAAooDo", "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: ooBoooooBoooooBoooCoooDoCoooDoAAooDo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>4\n"]}} {"board": "oooooooooooooooooooBBBoooAAoCoDDDoCo", "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: oooooooooooooooooooBBBoooAAoCoDDDoCo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>3\n"]}} {"board": "oBoooooBoooooBoooCoooooCooAAoCooDDoo", "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: oBoooooBoooooBoooCoooooCooAAoCooDDoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>2\n"]}} {"board": "ooooBoAAooBoooooBooooooooooooooooCCC", "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: ooooBoAAooBoooooBooooooooooooooooCCC\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>4\n"]}} {"board": "oooooooBBBooooooCoooooCoooAAoDoooooD", "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: oooooooBBBooooooCoooooCoooAAoDoooooD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,A>2\n"]}} {"board": "ooooooooooooBBBooCoooooCoAAooCoDDooo", "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: ooooooooooooBBBooCoooooCoAAooCoDDooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>3\n"]}} {"board": "oooooBAAoooBCooooBCoDDoooooooooooooo", "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: oooooBAAoooBCooooBCoDDoooooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>4\n"]}} {"board": "oooBoooooBoooooBoooAAoCooDDECooooECo", "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: oooBoooooBoooooBoooAAoCooDDECooooECo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^3,A>3\n"]}} {"board": "BoCCCoBDoAAEFDoooEFDoooEFoooooooGGGo", "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: BoCCCoBDoAAEFDoooEFDoooEFoooooooGGGo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,A>1\n"]}} {"board": "oooBBBooooCoDAAoCoDEooCFDEoooFoEGGoo", "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: oooBBBooooCoDAAoCoDEooCFDEoooFoEGGoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,A>3\n"]}} {"board": "oBBBooooooooooooCoAAooCoooDoCoooDooo", "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: oBBBooooooooooooCoAAooCoooDoCoooDooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>4\n"]}} {"board": "ooooooBBBooooooooooCoooDoCAAoDoooooD", "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: ooooooBBBooooooooooCoooDoCAAoDoooooD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,A>2\n"]}} {"board": "oAABoooooBoooooBooCoooooCoooooCooDDD", "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: oAABoooooBoooooBooCoooooCoooooCooDDD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "BAAoCoBoDoCoooDoCoooDooooooEEooooooo", "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: BAAoCoBoDoCoooDoCoooDooooooEEooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>3\n"]}} {"board": "oooooBCoAAoBCooooBDDEEEooooFoooooFoo", "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: oooooBCoAAoBCooooBDDEEEooooFoooooFoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>2\n"]}} {"board": "BoAACoBDDoCoBEEECooFoooGoFoHHGIIJJJG", "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: BoAACoBDDoCoBEEECooFoooGoFoHHGIIJJJG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>2\n"]}} {"board": "AAooBooooCBooDDCBoEEFoooooFoooooFooo", "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: AAooBooooCBooDDCBoEEFoooooFoooooFooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oooooooooooBoooooBoCoAABoCoooDoooooD", "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: oooooooooooBoooooBoCoAABoCoooDoooooD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,A>1\n"]}} {"board": "ooBoooAABooooooooooCooooDCooooDoooEE", "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: ooBoooAABooooooooooCooooDCooooDoooEE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>4\n"]}} {"board": "BCoDooBCoDooooooooooEEEooooooFoAAooF", "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: BCoDooBCoDooooooooooEEEooooooFoAAooF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,A>3\n"]}} {"board": "oooooooooAABCooooBCooooooooooDoEEEoD", "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: oooooooooAABCooooBCooooooooooDoEEEoD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>1\n"]}} {"board": "oooooooBBBoCoooooCooAADoooooDoooEEDo", "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: oooooooBBBoCoooooCooAADoooooDoooEEDo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^3,A>2\n"]}} {"board": "ooooooooooBooCCCBoooDoBEooDAAEooDooE", "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: ooooooooooBooCCCBoooDoBEooDAAEooDooE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^2,A>1\n"]}} {"board": "AABoooCCBooooooDDDEEooFGoHHoFGoIIoFG", "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: AABoooCCBooooooDDDEEooFGoHHoFGoIIoFG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "BBBoooooAACoooDoCoooDooEoooFoEoooFoE", "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: BBBoooooAACoooDoCoooDooEoooFoEoooFoE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>2\n"]}} {"board": "oooooooooooBoAAooBoCCCDDooooooooooEE", "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: oooooooooooBoAAooBoCCCDDooooooooooEE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,A>3\n"]}} {"board": "ooooooooooooBoooooBooooCooAAoCooooDD", "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: ooooooooooooBoooooBooooCooAAoCooooDD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>2\n"]}} {"board": "ooBoooooBoooCoDDDoCooooooooEooAAoEoo", "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: ooBoooooBoooCoDDDoCooooooooEooAAoEoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,A>4\n"]}} {"board": "ooooooooooBoooooBoAAooCoooooCooooooo", "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: ooooooooooBoooooBoAAooCoooooCooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>4\n"]}} {"board": "ooooBoAAooBoooCCoooooooooooDDooooooo", "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: ooooBoAAooBoooCCoooooooooooDDooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>4\n"]}} {"board": "ooAAoBoooooBooCCCBDDoEooFFFEGGHHoEII", "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: ooAAoBoooooBooCCCBDDoEooFFFEGGHHoEII\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "ooBBBCooAAoCoDDEEooooFoooooFoGoooFoG", "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: ooBBBCooAAoCoDDEEooooFoooooFoGoooFoG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,A>2\n"]}} {"board": "BBBoCoooAACoooDDCoEoooooEoooooEooooo", "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: BBBoCoooAACoooDDCoEoooooEoooooEooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,A>2\n"]}} {"board": "ooooooBBBooCooooDCoEAADooEooDooooFFF", "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: ooooooBBBooCooooDCoEAADooEooDooooFFF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,A>2\n"]}} {"board": "ooAABoCCDEBFGGDEBFHoDEoFHIoJJKHIoooK", "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: ooAABoCCDEBFGGDEBFHoDEoFHIoJJKHIoooK\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "ooooooooooooAAoBooCCoBooDDDEEEooooFF", "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: ooooooooooooAAoBooCCoBooDDDEEEooooFF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^2,A>4\n"]}} {"board": "oooooBooAAoBoCCoooooooooooDDDoEEoooo", "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: oooooBooAAoBoCCoooooooooooDDDoEEoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>2\n"]}} {"board": "ooAAoBooCooBooCoooooCDDDEEooooooFFoo", "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: ooAAoBooCooBooCoooooCDDDEEooooooFFoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "BoooooBooooooooAACoDoEECoDFooooDFooo", "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: BoooooBooooooooAACoDoEECoDFooooDFooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>1\n"]}} {"board": "oAAooBCooooBCoDDoBCEoooooEooFoooooFo", "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: oAAooBCooooBCoDDoBCEoooooEooFoooooFo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "AAooBoCDDoBoCoEFBoCGEFoooGoFHooGooHo", "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: AAooBoCDDoBoCoEFBoCGEFoooGoFHooGooHo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "ooBoCoooBoCoooBoCoooAAoDoooooDoooEEo", "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: ooBoCoooBoCoooBoCoooAAoDoooooDoooEEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,A>2\n"]}} {"board": "oooBooAAoBoooooBooooooCoDDooCoooooCo", "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: oooBooAAoBoooooBooooooCoDDooCoooooCo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>4\n"]}} {"board": "ooooooooooooooooooAAoBooCCoBDooooBDo", "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: ooooooooooooooooooAAoBooCCoBDooooBDo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^3,A>4\n"]}} {"board": "oooooBoooooBoooooBoCoDDDoCEoooAAEooo", "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: oooooBoooooBoooooBoCoDDDoCEoooAAEooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,A>4\n"]}} {"board": "oBBBoooooCCCoooooooooDoooooDooAAoDoo", "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: oBBBoooooCCCoooooooooDoooooDooAAoDoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>4\n"]}} {"board": "ooooBoAAooBooooCooooDCooooDEEEooDoFF", "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: ooooBoAAooBooooCooooDCooooDEEEooDoFF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>4\n"]}} {"board": "ooooooooooBoCCCoBoooAABooooooooooooo", "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: ooooooooooBoCCCoBoooAABooooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,A>2\n"]}} {"board": "oooBBBooAAoCooooDCooooDCooooooEEEFFo", "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: oooBBBooAAoCooooDCooooDCooooooEEEFFo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>2\n"]}} {"board": "BBBooooooooooooooCDEEEoCDAAooCoFFGGG", "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: BBBooooooooooooooCDEEEoCDAAooCoFFGGG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>3\n"]}} {"board": "ooBBBooooooooooCoooooCooAAoCooooDDoo", "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: ooBBBooooooooooCoooooCooAAoCooooDDoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>4\n"]}} {"board": "ooAAoBoooCCBooDEooooDEooFFDoGGoHHHoo", "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: ooAAoBoooCCBooDEooooDEooFFDoGGoHHHoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "oAAooBCooooBCoooooCooooooooooooooDDD", "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: oAAooBCooooBCoooooCooooooooooooooDDD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "ooBBBooooCCCAAoDoooEFDoGHEFooGHEFIII", "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: ooBBBooooCCCAAoDoooEFDoGHEFooGHEFIII\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,A>4\n"]}} {"board": "ooBoooooBoooCCCoooDEFFFGDEoooGDEoAAG", "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: ooBoooooBoooCCCoooDEFFFGDEoooGDEoAAG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nG^1,A>1\n"]}} {"board": "ooBoooooBCCCoDoooooDooEooDooEoAAooEo", "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: ooBoooooBCCCoDoooooDooEooDooEoAAooEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,A>4\n"]}} {"board": "ooooooooooBoooooBooAACoooDoCoooDoooo", "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: ooooooooooBoooooBooAACoooDoCoooDoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>3\n"]}} {"board": "BoooooBoooooBoooooooAACoooooCoDDooCo", "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: BoooooBoooooBoooooooAACoooooCoDDooCo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^3,A>2\n"]}} {"board": "oooBBBooCCCoDoAAEoDFooEGDFHHoGoFooII", "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: oooBBBooCCCoDoAAEoDFooEGDFHHoGoFooII\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,A>2\n"]}} {"board": "oBBBCDoEEECDoooAADoooFGoHHHFGoIIIoGo", "size": 6, "moves": 2, "solution": ["Dv3", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBCDoEEECDoooAADoooFGoHHHFGoIIIoGo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv3,A>1\n"]}} {"board": "ooooooooooooBoooCoBoAACoDoooCoDooooo", "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: ooooooooooooBoooCoBoAACoDoooCoDooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>2\n"]}} {"board": "ooooooooBoooooBoooooBoooAAoooCoooooC", "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: ooooooooBoooooBoooooBoooAAoooCoooooC\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>4\n"]}} {"board": "ooBoooAABoooCCooooooooooDDEoooooEFFo", "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: ooBoooAABoooCCooooooooooDDEoooooEFFo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>4\n"]}} {"board": "oooBBBooCCCDooAAoDoEFoGooEFoGooEFoGo", "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: oooBBBooCCCDooAAoDoEFoGooEFoGooEFoGo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv2,A>2\n"]}} {"board": "oooBBBoooooooAAooCDDEEECoooFFoGGoooo", "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: oooBBBoooooooAAooCDDEEECoooFFoGGoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>3\n"]}} {"board": "BooCooBooCDoBAAoDoooooDoooEEoFoooooF", "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: BooCooBooCDoBAAoDoooooDoooEEoFoooooF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv2,A>3\n"]}} {"board": "oBooCooBooCooBDAAEooDooEFFFooEooGGoo", "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: oBooCooBooCooBDAAEooDooEFFFooEooGGoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,A>1\n"]}} {"board": "ooooooAAoBoooooBoooCDBoooCDooEooDooE", "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: ooooooAAoBoooooBoooCDBoooCDooEooDooE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "ooBBBoAAooCoDDooCoooooCooooooooEEooo", "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: ooBBBoAAooCoDDooCoooooCooooooooEEooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>4\n"]}} {"board": "oBBBooAAooCoooooCooDDECFooGEoFooGEoF", "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: oBBBooAAooCoooooCooDDECFooGEoFooGEoF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>4\n"]}} {"board": "oooBBBooooooooooooooooCoooAACooDDoCo", "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: oooBBBooooooooooooooooCoooAACooDDoCo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>2\n"]}} {"board": "ooooooAAoBoooooBooooooooCCCooooooooo", "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: ooooooAAoBoooooBooooooooCCCooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "ooBoooooBoooCoBoooCoooooCooooDooAAoD", "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: ooBoooooBoooCoBoooCoooooCooooDooAAoD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>2\n"]}} {"board": "ooBBBoooCoooooCooooAAooDoEooFDoEooFD", "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: ooBBBoooCoooooCooooAAooDoEooFDoEooFD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^3,A>3\n"]}} {"board": "ooooooooAAoBoooooBoCoooooCoooDoCoooD", "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: ooooooooAAoBoooooBoCoooooCoooDoCoooD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "BAAoCoBoooCoBoooCooDoooEoDoooEoDoooE", "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: BAAoCoBoooCoBoooCooDoooEoDoooEoDoooE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>3\n"]}} {"board": "oooooooAAoBoooooBoooCDoEooCDoEoooDoE", "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: oooooooAAoBoooooBoooCDoEooCDoEoooDoE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "oooBoooooBoCoooBoCDDDoECFoAAEoFoooEo", "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: oooBoooooBoCoooBoCDDDoECFoAAEoFoooEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^2,A>2\n"]}} {"board": "ooAAoBCCooDBooEoDoooEoDoooFFoooooooo", "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: ooAAoBCCooDBooEoDoooEoDoooFFoooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "BoooooBoooooBooCCCDDDooooooooEoAAooE", "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: BoooooBoooooBooCCCDDDooooooooEoAAooE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,A>3\n"]}} {"board": "ooooooooooooooBAACooBoDCEoBoDoEoooDo", "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: ooooooooooooooBAACooBoDCEoBoDoEoooDo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>1\n"]}} {"board": "oooooooooooBAAoooBooCoDDooCEooooCEoo", "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: oooooooooooBAAoooBooCoDDooCEooooCEoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,A>4\n"]}} {"board": "oooooBoAAooBooCCoooooooooDoooooDoooo", "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: oooooBoAAooBooCCoooooooooDoooooDoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>3\n"]}} {"board": "oBoAACDBEEECDBoooooooFFoGGGHHHoooooo", "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: oBoAACDBEEECDBoooooooFFoGGGHHHoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>1\n"]}} {"board": "oooooooooooooBAAoCoBoDDCooEoooooEooo", "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: oooooooooooooBAAoCoBoDDCooEoooooEooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>2\n"]}} {"board": "oAAoBoooooBooooCoooooCooDDDCoooooooo", "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: oAAoBoooooBooooCoooooCooDDDCoooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "BooooCBooAACBooDoCEEFDooGHFDooGHFoII", "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: BooooCBooAACBooDoCEEFDooGHFDooGHFoII\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,A>1\n"]}} {"board": "ooooooooooBoooAABoCoooooCooooDooEEoD", "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: ooooooooooBoooAABoCoooooCooooDooEEoD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,A>2\n"]}} {"board": "oooBBBCoooooCooooDCoAAoDooEoooooEFFF", "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: oooBBBCoooooCooooDCoAAoDooEoooooEFFF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>2\n"]}} {"board": "oooooooooooBAAoooBCoDDDBCoooooCEEooo", "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: oooooooooooBAAoooBCoDDDBCoooooCEEooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>4\n"]}} {"board": "oooooooooAABoooooBooooCBDoooCoDoooCo", "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: oooooooooAABoooooBooooCBDoooCoDoooCo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>1\n"]}} {"board": "oooooooooAABooCooBooCooBooCooooooDDo", "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: oooooooooAABooCooBooCooBooCooooooDDo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>1\n"]}} {"board": "ooBoooAABoooooBCCoooooooooooDDoooooo", "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: ooBoooAABoooooBCCoooooooooooDDoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>4\n"]}} {"board": "oooooooBCooooBCooooBooDoooAADoooooDo", "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: oooooooBCooooBCooooBooDoooAADoooooDo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,A>2\n"]}} {"board": "oooBBBooooooCooooDCooooDCooAADoooooo", "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: oooBBBooooooCooooDCooooDCooAADoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>1\n"]}} {"board": "BBBooooooooooCoooDoCoAADoooooooooooo", "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: BBBooooooooooCoooDoCoAADoooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>1\n"]}} {"board": "BBBoooAACoooooCooooDoEoooDFEoooDFEoo", "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: BBBoooAACoooooCooooDoEoooDFEoooDFEoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>4\n"]}} {"board": "oBoooooBoCoooooCooooooDoEoooDoEoAADo", "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: oBoooooBoCoooooCooooooDoEoooDoEoAADo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>2\n"]}} {"board": "oooooooBBBoooCoDoooCoDoEFCoAAEFGGoHH", "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: oooooooBBBoooCoDoooCoDoEFCoAAEFGGoHH\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,A>1\n"]}} {"board": "ooooooooooooooooBCooooBCoAAooCoooooo", "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: ooooooooooooooooBCooooBCoAAooCoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>3\n"]}} {"board": "ooooooooooooAAoBoooooBoCoooDoCoooDoC", "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: ooooooooooooAAoBoooooBoCoooDoCoooDoC\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^2,A>4\n"]}} {"board": "ooooooooooooBCCCoDBooooDoooAADoooooo", "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: ooooooooooooBCCCoDBooooDoooAADoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>1\n"]}} {"board": "ooooBoooAABoCCooooooooooooooooDDoooo", "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: ooooBoooAABoCCooooooooooooooooDDoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>2\n"]}} {"board": "AAooBooCCCBoooooBoooDDoooooooooEEEoo", "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: AAooBooCCCBoooooBoooDDoooooooooEEEoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "ooooooBCCCooBoAADoooooDEFFFGHEoooGHE", "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: ooooooBCCCooBoAADoooooDEFFFGHEoooGHE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,A>2\n"]}} {"board": "oooooooBCooooBCoDoEoCoDFEoooDFEoAAoF", "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: oooooooBCooooBCoDoEoCoDFEoooDFEoAAoF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,A>2\n"]}} {"board": "BoooooBooooCBooooCoooDoooooDoooAADoo", "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: BoooooBooooCBooooCoooDoooooDoooAADoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>3\n"]}} {"board": "ooooooBBBoooAAooCooDDoCooooEoooooEoo", "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: ooooooBBBoooAAooCooDDoCooooEoooooEoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>4\n"]}} {"board": "BoooooBooCCCoooDoEoooDFEGoooFEGoAAFo", "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: BoooooBooCCCoooDoEoooDFEGoooFEGoAAFo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,A>2\n"]}} {"board": "oAAooBooCCoBoooDoBooEDooooEDooooEooo", "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: oAAooBooCCoBoooDoBooEDooooEDooooEooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "ooooooooooooBooAACBooDDCoooooooooooo", "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: ooooooooooooBooAACBooDDCoooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>1\n"]}} {"board": "oBBBCooooDCEFooDCEFAAooEGGoHHHooIIIo", "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: oBBBCooooDCEFooDCEFAAooEGGoHHHooIIIo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,A>3\n"]}} {"board": "oBBBoCoooAACoooooCooooooooooooooooDD", "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: oBBBoCoooAACoooooCooooooooooooooooDD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,A>1\n"]}} {"board": "ooooooBooCDoBooCDoooooDEoooooEoooAAE", "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: ooooooBooCDoBooCDoooooDEoooooEoooAAE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,A>1\n"]}} {"board": "AAoBooCCoBoooDDooooooEEEoooFFFoooooo", "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: AAoBooCCoBoooDDooooooEEEoooFFFoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oooAABoooooBoooooooooooCoooooCoooooC", "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: oooAABoooooBoooooooooooCoooooCoooooC\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>1\n"]}} {"board": "ooBAACoDBooCoDBEooFFoEGGooHEooooHoII", "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: ooBAACoDBooCoDBEooFFoEGGooHEooooHoII\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>1\n"]}} {"board": "oooooBoooAABoooooBoooooooooooooooCCC", "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: oooooBoooAABoooooBoooooooooooooooCCC\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>1\n"]}} {"board": "BBBooCoooooCooooooAAooDoooooDoooooDo", "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: BBBooCoooooCooooooAAooDoooooDoooooDo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^3,A>4\n"]}} {"board": "ooAAoBooCooBooCooBoooooooooDoooooDoo", "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: ooAAoBooCooBooCooBoooooooooDoooooDoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "ooBoooooBoooooooCooAAoCooooDoooooDoo", "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: ooBoooooBoooooooCooAAoCooooDoooooDoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>3\n"]}} {"board": "oooooBoCCCDBoooEDooooEoooooEoFooAAoF", "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: oooooBoCCCDBoooEDooooEoooooEoFooAAoF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,A>2\n"]}} {"board": "ooooBoooooBoAAooCooDDoCooooooooooooo", "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: ooooBoooooBoAAooCooDDoCooooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>4\n"]}} {"board": "oooooooAABoooooBoooooooCoooooCoooooo", "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: oooooooAABoooooBoooooooCoooooCoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "oooooooooBoooooBoooAABooCCoooooooooo", "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: oooooooooBoooooBoooAABooCCoooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,A>3\n"]}} {"board": "ooooBoooooBCoooooCoooDoCoooDooAAoDoo", "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: ooooBoooooBCoooooCoooDoCoooDooAAoDoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>4\n"]}} {"board": "BoooooBooooooooCCCAAooDoEEEoDooooooo", "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: BoooooBooooooooCCCAAooDoEEEoDooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,A>4\n"]}} {"board": "oBBBoCooAAoCoDoEEooDFFFooDooGHoIIIGH", "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: oBBBoCooAAoCoDoEEooDFFFooDooGHoIIIGH\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,A>2\n"]}} {"board": "oooBooAAoBoooooBoooCCooooDDooooooooo", "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: oooBooAAoBoooooBoooCCooooDDooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>4\n"]}} {"board": "BoAAoCBooooCDDDooooooooooEEFFFooooGG", "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: BoAAoCBooooCDDDooooooooooEEFFFooooGG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>2\n"]}} {"board": "oBCCCooBoooooBAADoEoFGDoEoFGDoEooGoo", "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: oBCCCooBoooooBAADoEoFGDoEoFGDoEooGoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,A>2\n"]}} {"board": "oooooooBBBCooAAoCooooDoooooDEEoooDoo", "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: oooooooBBBCooAAoCooooDoooooDEEoooDoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>3\n"]}} {"board": "ooooooooBCCCooBAADooBooDoooooooooooo", "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: ooooooooBCCCooBAADooBooDoooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,A>1\n"]}} {"board": "ooooooooooooooAAoBoCCoDBooooDBooooDo", "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: ooooooooooooooAAoBoCCoDBooooDBooooDo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "oooooooooooooAAooBCCDooBEFDoooEFoGGo", "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: oooooooooooooAAooBCCDooBEFDoooEFoGGo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^2,A>3\n"]}} {"board": "oBBBooooooooooooooooooCoooAACooooDDD", "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: oBBBooooooooooooooooooCoooAACooooDDD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>2\n"]}} {"board": "BooooCBooAACBoooDoooooDoooooDooooooo", "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: BooooCBooAACBoooDoooooDoooooDooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,A>1\n"]}} {"board": "BAAoCoBDDECoooFECGHoFEoGHoFoooIIJJoo", "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: BAAoCoBDDECoooFECGHoFEoGHoFoooIIJJoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>3\n"]}} {"board": "ooooBoooAABoooooBooCCoooooDoooooDooo", "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: ooooBoooAABoooooBooCCoooooDoooooDooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>2\n"]}} {"board": "oooooooooooBoCoAABDCoooBDCEEooDooooo", "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: oooooooooooBoCoAABDCoooBDCEEooDooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>1\n"]}} {"board": "ooooooAAoBooCCoBooDoooooDoEooFDoEooF", "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: ooooooAAoBooCCoBooDoooooDoEooFDoEooF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oooooooooooBoAAooBCDEFFFCDEGGGCDoooo", "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: oooooooooooBoAAooBCDEFFFCDEGGGCDoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,A>3\n"]}} {"board": "ooooooBooooCBAAooCBoDEFCooDEFoooDEFo", "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: ooooooBooooCBAAooCBoDEFCooDEFoooDEFo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,A>3\n"]}} {"board": "BoAACoBDDoCEBooFoEGGHFIJooHFIJooHoIJ", "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: BoAACoBDDoCEBooFoEGGHFIJooHFIJooHoIJ\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>2\n"]}} {"board": "BAACooBooCooBDDoEEoFFGooHIJGKKHIJGoo", "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: BAACooBooCooBDDoEEoFFGooHIJGKKHIJGoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>3\n"]}} {"board": "oooBoooooBCooooBCoooDEEEooDoooAADooo", "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: oooBoooooBCooooBCoooDEEEooDoooAADooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>4\n"]}} {"board": "ooooooooooBoooAABoCDooEFCDGGEFCDooEF", "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: ooooooooooBoooAABoCDooEFCDGGEFCDooEF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,A>2\n"]}} {"board": "oooooooooAABCCoooBoDoooBoDoooooDooEE", "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: oooooooooAABCCoooBoDoooBoDoooooDooEE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>1\n"]}} {"board": "BBBCoooAACoooooCooooooooooooDDoooooo", "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: BBBCoooAACoooooCooooooooooooDDoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,A>3\n"]}} {"board": "oooooooooAABoooooBCCCoooooooooDDoooo", "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: oooooooooAABoooooBCCCoooooooooDDoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>1\n"]}} {"board": "oBBBooCooooDCAAooDoEoFFFGEHHHoGoIIIo", "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: oBBBooCooooDCAAooDoEoFFFGEHHHoGoIIIo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>3\n"]}} {"board": "ooooooooooooAABoooooBCCCDDoooooooooo", "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: ooooooooooooAABoooooBCCCDDoooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^2,A>4\n"]}} {"board": "oBBBoooooCoooAACoooooooooooooooooooo", "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: oBBBoooooCoooAACoooooooooooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,A>3\n"]}} {"board": "AAoooBoooooBCDDEEBCoFFFooGGooooooHHH", "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: AAoooBoooooBCDDEEBCoFFFooGGooooooHHH\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "BooooCBooAACoDDooCEEEoFoooGGFooHHHFo", "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: BooooCBooAACoDDooCEEEoFoooGGFooHHHFo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,A>1\n"]}} {"board": "ooBoooooBoooooooooCoooooCooooDoAAooD", "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: ooBoooooBoooooooooCoooooCooooDoAAooD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>3\n"]}} {"board": "AABoooooBoooooBCCCoooooooooDDooooooo", "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: AABoooooBoooooBCCCoooooooooDDooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "ooBBBooCoDoooCoDoooooooEFooAAEFGGooE", "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: ooBBBooCoDoooCoDoooooooEFooAAEFGGooE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^2,A>1\n"]}} {"board": "ooooBoooooBooAACoooDoCEooDoCEooDooEo", "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: ooooBoooooBooAACoooDoCEooDoCEooDooEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>3\n"]}} {"board": "oBBBoooCCCooooooooAAooDoooooDoooooDo", "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: oBBBoooCCCooooooooAAooDoooooDoooooDo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^3,A>4\n"]}} {"board": "ooAAoBoooooBooooooooooooCoooDoCoooDo", "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: ooAAoBoooooBooooooooooooCoooDoCoooDo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "oooBooAAoBooCCCBoDoooooDoooooDooooEE", "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: oooBooAAoBooCCCBoDoooooDoooooDooooEE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>4\n"]}} {"board": "oBooooCBDDDoCBooooCooooooEAAoFoEoooF", "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: oBooooCBDDDoCBooooCooooooEAAoFoEoooF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^2,A>2\n"]}} {"board": "BoCCCoBooDooAAoDoooooDooooooooooooEE", "size": 6, "moves": 2, "solution": ["Dv2", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoCCCoBooDooAAoDoooooDooooooooooooEE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv2,A>4\n"]}} {"board": "oooooooAAoBoooooBCDDoooCoooooooooooo", "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: oooooooAAoBoooooBCDDoooCoooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "oBoooooBCCCooBooDoAAooDooooooooEEEoo", "size": 6, "moves": 2, "solution": ["Dv2", "A>4"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoooooBCCCooBooDoAAooDooooooooEEEoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv2,A>4\n"]}} {"board": "ooooooBBBCooDooCooDoAAoEFoooGEFHHHGE", "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: ooooooBBBCooDooCooDoAAoEFoooGEFHHHGE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^3,A>2\n"]}} {"board": "ooooBoooooBoCCCoBDoEEEoDAAoooDFFGGHH", "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: ooooBoooooBoCCCoBDoEEEoDAAoooDFFGGHH\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>4\n"]}} {"board": "BCoDDDBCoEEEBoAAoFGHHHoFGoIIIoGooooo", "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: BCoDDDBCoEEEBoAAoFGHHHoFGoIIIoGooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nFv1,A>2\n"]}} {"board": "ooAAoBooooCBooooCBooDDCoEFFFGGEoHHHo", "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: ooAAoBooooCBooooCBooDDCoEFFFGGEoHHHo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "oooBBBoCCCDoooAADooEEFDooooFoooGGFoo", "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: oooBBBoCCCDoooAADooEEFDooooFoooGGFoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv2,A>2\n"]}} {"board": "oooBoooooBoooAABoooooooooCCooooooooo", "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: oooBoooooBoooAABoooooooooCCooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv3,A>3\n"]}} {"board": "oooooooooBoooooBCooooBCDAAoooDoooooD", "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: oooooooooBoooooBCooooBCDAAoooDoooooD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,A>4\n"]}} {"board": "oooooooBoooooBoooooCoooDoCAAoDoooooo", "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: oooooooBoooooBoooooCoooDoCAAoDoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>2\n"]}} {"board": "BoAAoCBooooCDDoEoCoFFEooooGGooHHooII", "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: BoAAoCBooooCDDoEoCoFFEooooGGooHHooII\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>2\n"]}} {"board": "ooooooooooBoooooBoooAABoooooCCooDDDo", "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: ooooooooooBoooooBoooAABoooooCCooDDDo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,A>2\n"]}} {"board": "ooBoooooBooCooAAoCoooooCooooDooEEoDo", "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: ooBoooooBooCooAAoCoooooCooooDooEEoDo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,A>2\n"]}} {"board": "ooooooooooooAABoooooBCoooooCoooooooo", "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: ooooooooooooAABoooooBCoooooCoooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^2,A>4\n"]}} {"board": "oooBooAAoBoooooBooCCoooooooooooooooo", "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: oooBooAAoBoooooBooCCoooooooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>4\n"]}} {"board": "BBBooooooooooooooCAAoooCoooooCoooooo", "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: BBBooooooooooooooCAAoooCoooooCoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>4\n"]}} {"board": "oooooBCAAooBCoDDooCoooEoFFGGEoooooEo", "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: oooooBCAAooBCoDDooCoooEoFFGGEoooooEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>3\n"]}} {"board": "BoooCoBoAACoDDDoCoEEoFooGGoFoooooFoo", "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: BoooCoBoAACoDDDoCoEEoFooGGoFoooooFoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,A>2\n"]}} {"board": "ooooooooBooCooBooCAAoooCoooDDDoooooo", "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: ooooooooBooCooBooCAAoooCoooDDDoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>4\n"]}} {"board": "oooooooooBBBAAoCoooDoCoooDoooooDEEoo", "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: oooooooooBBBAAoCoooDoCoooDoooooDEEoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>4\n"]}} {"board": "oooBoCoooBoCoooBDCEoAADoEoooDoEooFFF", "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: oooBoCoooBoCoooBDCEoAADoEoooDoEooFFF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,A>2\n"]}} {"board": "oooBBBoooCCCoAAoDoEFFFDGEooHDGEooHoG", "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: oooBBBoooCCCoAAoDoEFFFDGEooHDGEooHoG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,A>3\n"]}} {"board": "oooAABooCCCBoDooEBoDFoEoooFoEoooFGGG", "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: oooAABooCCCBoDooEBoDFoEoooFoEoooFGGG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>1\n"]}} {"board": "oooBoooAABooooooooooooooooooCCoooooo", "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: oooBoooAABooooooooooooooooooCCoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>3\n"]}} {"board": "ooBoooooBoooooBCoooAACoooDDEEEoooooo", "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: ooBoooooBoooooBCoooAACoooDDEEEoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>3\n"]}} {"board": "oooooBooAAoBoCooooDCEEooDCooooDooooo", "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: oooooBooAAoBoCooooDCEEooDCooooDooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>2\n"]}} {"board": "ooooooooooooooBoooAABoooooBCoooooCoo", "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: ooooooooooooooBoooAABoooooBCoooooCoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^2,A>4\n"]}} {"board": "oooooBoooooBoooAABooooCoooooCoooooCo", "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: oooooBoooooBoooAABooooCoooooCoooooCo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv3,A>1\n"]}} {"board": "oAAooBoCoDEBoCoDEooooFFFoooGGoHHHIII", "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: oAAooBoCoDEBoCoDEooooFFFoooGGoHHHIII\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "oooBBBCAAooDCoEEoDCFGGGDoFooooooHHHo", "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: oooBBBCAAooDCoEEoDCFGGGDoFooooooHHHo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,A>3\n"]}} {"board": "oBBBoooooooCoooAACooooooooDoooooDEEo", "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: oBBBoooooooCoooAACooooooooDoooooDEEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>1\n"]}} {"board": "oooooBAAoooBooCDoooECDoooEoDoFoEoooF", "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: oooooBAAoooBooCDoooECDoooEoDoFoEoooF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>4\n"]}} {"board": "ooBBBoCCCooooooAADoooooDoEEooooFFGGG", "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: ooBBBoCCCooooooAADoooooDoEEooooFFGGG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,A>1\n"]}} {"board": "BoAAoCBoDDoCBoEFoCGHEFooGHEFIIGHooJJ", "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: BoAAoCBoDDoCBoEFoCGHEFooGHEFIIGHooJJ\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>2\n"]}} {"board": "ooBCooooBCooooBCDoEoFoDGEoFoDGEoFAAG", "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: ooBCooooBCooooBCDoEoFoDGEoFoDGEoFAAG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nG^1,A>1\n"]}} {"board": "ooooooooooooooooooooAAoBoooooBooCCCB", "size": 6, "moves": 2, "solution": ["B^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: ooooooooooooooooooooAAoBoooooBooCCCB\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^3,A>2\n"]}} {"board": "oooBBBooCDDDooCEEEAACoooFFooGGooooHH", "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: oooBBBooCDDDooCEEEAACoooFFooGGooooHH\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>4\n"]}} {"board": "AAoBooCoDBooCoDoEECooFGGoooFoooooFoo", "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: AAoBooCoDBooCoDoEECooFGGoooFoooooFoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "BBBoooooooooAACooooDCooooDoooooDoooo", "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: BBBoooooooooAACooooDCooooDoooooDoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>4\n"]}} {"board": "ooBBBCoDAAoCoDoEEoFooGooFHoGoooHoGoo", "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: ooBBBCoDAAoCoDoEEoFooGooFHoGoooHoGoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,A>2\n"]}} {"board": "oooooooooBoooooBooCooBoDCooooDCAAooD", "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: oooooooooBoooooBooCooBoDCooooDCAAooD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>3\n"]}} {"board": "oAABooCCCBoooooBooooDoooooDoooooDooo", "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: oAABooCCCBoooooBooooDoooooDoooooDooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "BoCCCoBDooooBDAAoEoooooEoooFFFoooooo", "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: BoCCCoBDooooBDAAoEoooooEoooFFFoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^2,A>2\n"]}} {"board": "ooooooBBBooooooooooAAooCoooooCoooooo", "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: ooooooBBBooooooooooAAooCoooooCoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>3\n"]}} {"board": "AAoooBoooooBCDEEoBCDooooooFGGGooFHHH", "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: AAoooBoooooBCDEEoBCDooooooFGGGooFHHH\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "ooooBoooAABooooooooooooooooCoooooCoo", "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: ooooBoooAABooooooooooooooooCoooooCoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>2\n"]}} {"board": "ooooooAAooBoooooBooooCoooooCoooooCoo", "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: ooooooAAooBoooooBooooCoooooCoooooCoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "ooBAACooBooCooBoooooDoooooDoooooDooo", "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: ooBAACooBooCooBoooooDoooooDoooooDooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>1\n"]}} {"board": "oooBBBAAooCoooooCDoEEooDFFFGGGoooooo", "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: oooBBBAAooCoooooCDoEEooDFFFGGGoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>4\n"]}} {"board": "ooooooBoooooBoAAoCBooooCoDoooooDoooo", "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: ooooooBoooooBoAAoCBooooCoDoooooDoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>2\n"]}} {"board": "ooAAoBooCCoBooDDoBEooFooEooFooGGGFoo", "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: ooAAoBooCCoBooDDoBEooFooEooFooGGGFoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "oooAABoCDoEBFCDGEoFoDGoHooIIIHJJJooH", "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: oooAABoCDoEBFCDGEoFoDGoHooIIIHJJJooH\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>1\n"]}} {"board": "oooooooAAoBoooooBooCDooEoCDooEoooooE", "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: oooooooAAoBoooooBooCDooEoCDooEoooooE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "ooBoooooBooCooBAACoDoooEoDFGGEoDFooE", "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: ooBoooooBooCooBAACoDoooEoDFGGEoDFooE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>1\n"]}} {"board": "ooooBoooAABoCoooooCooooooooooooooooo", "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: ooooBoooAABoCoooooCooooooooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>2\n"]}} {"board": "BCoAADBCoEEDBooFFDooGGooHooIIIHoJJJo", "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: BCoAADBCoEEDBooFFDooGGooHooIIIHoJJJo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,A>1\n"]}} {"board": "ooooBoooooBoooCoBDooCooDoAAooDEEoooo", "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: ooooBoooooBoooCoBDooCooDoAAooDEEoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>3\n"]}} {"board": "oooooBoAAooBooCoooooCoooDoCEEEDFFooo", "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: oooooBoAAooBooCoooooCoooDoCEEEDFFooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>3\n"]}} {"board": "oooooBoooooBoooooBoooooooooCooAAoCoo", "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: oooooBoooooBoooooBoooooooooCooAAoCoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>4\n"]}} {"board": "oooooooooBoooooBoooAABooooCDDDooCooo", "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: oooooooooBoooooBoooAABooooCDDDooCooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,A>3\n"]}} {"board": "ooBCooooBCoDooBAADEFooooEFooGGEFHHHo", "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: ooBCooooBCoDooBAADEFooooEFooGGEFHHHo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>1\n"]}} {"board": "AABoooooBCCCoDoEFoGDoEFHGoIIoHGoJJoo", "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: AABoooooBCCCoDoEFoGDoEFHGoIIoHGoJJoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oooBoooooBCoooAACoDDoEooFFFEoooooEoo", "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: oooBoooooBCoooAACoDDoEooFFFEoooooEoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>2\n"]}} {"board": "oBBBooooCoDoooCEDoooCEooFAAEooFoGGGo", "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: oBBBooooCoDoooCEDoooCEooFAAEooFoGGGo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,A>3\n"]}} {"board": "ooooooBBBoooooooooCooooDCAAooDCooooo", "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: ooooooBBBoooooooooCooooDCAAooDCooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>3\n"]}} {"board": "ooAAoBoooooBooCCCBoDoooooDoooooDoooo", "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: ooAAoBoooooBooCCCBoDoooooDoooooDoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "ooBoooooBoooCooooDCooooDAAEoooooEooo", "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: ooBoooooBoooCooooDCooooDAAEoooooEooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^2,A>4\n"]}} {"board": "oBBBooooooooooooooAAoooCoDoooCoDoooo", "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: oBBBooooooooooooooAAoooCoDoooCoDoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>4\n"]}} {"board": "oooooooAABoooooBooCCoBDoooooDoooooDo", "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: oooooooAABoooooBooCCoBDoooooDoooooDo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "oAABooCooBDDCooBooCEFoGooEFoGooEooGo", "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: oAABooCooBDDCooBooCEFoGooEFoGooEooGo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "BoooooBoooCoooooCooooooDooAAoDEEoooD", "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: BoooooBoooCoooooCooooooDooAAoDEEoooD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,A>2\n"]}} {"board": "ooooooBoooooBoooCoBoAACoDDooooooEEEo", "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: ooooooBoooooBoooCoBoAACoDDooooooEEEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>2\n"]}} {"board": "AABoooooBooooCBoooDCooooDCooEEDooooo", "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: AABoooooBooooCBoooDCooooDCooEEDooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "BoooooBoooooBooooooAACooDDDCoEoooCoE", "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: BoooooBoooooBooooooAACooDDDCoEoooCoE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^3,A>3\n"]}} {"board": "ooooooooAABoooooBoooCoooooCDDDoooEEo", "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: ooooooooAABoooooBoooCoooooCDDDoooEEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "oooooBAAoooBooooCBooooCoDoooCoDooEEE", "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: oooooBAAoooBooooCBooooCoDoooCoDooEEE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>4\n"]}} {"board": "BAAooCBooDDCBoEEECFFFoooooooGoooooGo", "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: BAAooCBooDDCBoEEECFFFoooooooGoooooGo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>3\n"]}} {"board": "oBBBoooooCCCooDoooEFDGoHEFDGoHoFoAAH", "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: oBBBoooooCCCooDoooEFDGoHEFDGoHoFoAAH\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nH^1,A>1\n"]}} {"board": "ooooooooooooBBBooooooooCoooAACoooooo", "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: ooooooooooooBBBooooooooCoooAACoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>1\n"]}} {"board": "ooAAoBoooooBoooooooCCooooooooooDDDoo", "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: ooAAoBoooooBoooooooCCooooooooooDDDoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "ooooooAABoooooBCCooooooooooDDDoooooo", "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: ooooooAABoooooBCCooooooooooDDDoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oooooooBoooooBAACoooooCooooDoooEEDoo", "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: oooooooBoooooBAACoooooCooooDoooEEDoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>2\n"]}} {"board": "oooBoooAABooCooBooCoooDDCooooooooooo", "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: oooBoooAABooCooBooCoooDDCooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>3\n"]}} {"board": "oooooooBCooDoBCooDoooAADooooooEEEFFF", "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: oooooooBCooDoBCooDoooAADooooooEEEFFF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>1\n"]}} {"board": "oooBoooooBooooooCoooAACoooDDoooooooo", "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: oooBoooooBooooooCoooAACoooDDoooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>2\n"]}} {"board": "ooooooooooooooBBBCoooAACoooooCoooooo", "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: ooooooooooooooBBBCoooAACoooooCoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>1\n"]}} {"board": "ooAABooCCoBoooooooooooooooooDDoEEEoo", "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: ooAABooCCoBoooooooooooooooooDDoEEEoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "oBoCDooBoCDEoFFFDEooGAAEHHGoooooGIII", "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: oBoCDooBoCDEoFFFDEooGAAEHHGoooooGIII\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,A>1\n"]}} {"board": "oooooooooBBBoooooCoooAACDDDooooEEEoo", "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: oooooooooBBBoooooCoooAACDDDooooEEEoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,A>1\n"]}} {"board": "oooooooBoooooBooCoAAooCooooooooooooo", "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: oooooooBoooooBooCoAAooCooooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>4\n"]}} {"board": "oooooBoooooBAAoooBCCCooooooooooooooo", "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: oooooBoooooBAAoooBCCCooooooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv3,A>4\n"]}} {"board": "AAoooBoCoooBoCoooooCDDEoooooEoooooEo", "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: AAoooBoCoooBoCoooooCDDEoooooEoooooEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "ooooooooooooAAooBoCDooBoCDoEEEoDoooo", "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: ooooooooooooAAooBoCDooBoCDoEEEoDoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^2,A>4\n"]}} {"board": "oooooBAAoooBoCCoooDoEoooDoEooFDooooF", "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: oooooBAAoooBoCCoooDoEoooDoEooFDooooF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>4\n"]}} {"board": "oooooooooBBBoooooCoAAooCoDDDoooooooo", "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: oooooooooBBBoooooCoAAooCoDDDoooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,A>3\n"]}} {"board": "oAAoBoCoooBDCEEoBDooFooDGGFooooooooo", "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: oAAoBoCoooBDCEEoBDooFooDGGFooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "oooooooooooooAAooBoCoooBoCoooooCoooo", "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: oooooooooooooAAooBoCoooBoCoooooCoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^2,A>3\n"]}} {"board": "oooooooBBBoCAAoooCooDDDCEoooooEooooo", "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: oooooooBBBoCAAoooCooDDDCEoooooEooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,A>4\n"]}} {"board": "oooooooooBooAAoBoooCCCDDEFoGGGEFoooo", "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: oooooooooBooAAoBoooCCCDDEFoGGGEFoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,A>4\n"]}} {"board": "oooooooooooooAAoBoCCCoBDoooooDoEEooD", "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: oooooooooooooAAoBoCCCoBDoooooDoEEooD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^2,A>3\n"]}} {"board": "oBBBCoooooCDEFooCDEFAAoDooGoHHIIGooo", "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: oBBBCoooooCDEFooCDEFAAoDooGoHHIIGooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>2\n"]}} {"board": "oooooooooBoooooBCoooooCoAAooCooooDDD", "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: oooooooooBoooooBCoooooCoAAooCooooDDD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>4\n"]}} {"board": "oBCooooBCoooDBoooEDooooEFooAAEFooooo", "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: oBCooooBCoooDBoooEDooooEFooAAEFooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,A>1\n"]}} {"board": "ooooooooBoooAABoooooBoooCCoooooooDDo", "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: ooooooooBoooAABoooooBoooCCoooooooDDo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>4\n"]}} {"board": "ooooooAAooBoooCoBoooCoBooooooooooooo", "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: ooooooAAooBoooCoBoooCoBooooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "ooAAoBoooooBoCoooooCoooooooooooooooo", "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: ooAAoBoooooBoCoooooCoooooooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "BCCCooBoDDDEBFAAoEoFGGHIJJooHIooKKKI", "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: BCCCooBoDDDEBFAAoEoFGGHIJJooHIooKKKI\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,A>2\n"]}} {"board": "oBBBoooAACooDDoCoooooCEoFFFoEooGGoEo", "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: oBBBoooAACooDDoCoooooCEoFFFoEooGGoEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>3\n"]}} {"board": "oBAACooBooCoooooCoooDEooooDEFFooDEoo", "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: oBAACooBooCoooooCoooDEooooDEFFooDEoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>2\n"]}} {"board": "oooooooooBBBAAoooCoDoooCoDoooooooooo", "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: oooooooooBBBAAoooCoDoooCoDoooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>4\n"]}} {"board": "ooooooAAoBoooCoBDDoCoBEEoCoooooooFFo", "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: ooooooAAoBoooCoBDDoCoBEEoCoooooooFFo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "BoCCCoBooooooAADoooooDoooooooooooooo", "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: BoCCCoBooooooAADoooooDoooooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,A>3\n"]}} {"board": "oBooCooBooCooBooooooooooAADoooooDooo", "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: oBooCooBooCooBooooooooooAADoooooDooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,A>4\n"]}} {"board": "ooBBBoooooooooooooooooooooAAoCoDDooC", "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: ooBBBoooooooooooooooooooooAAoCoDDooC\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>2\n"]}} {"board": "ooooooooAABooooCBooooCooDDDCoooooooo", "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: ooooooooAABooooCBooooCooDDDCoooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "AAooBoooooBoooCoooooCDDDoooooooooEEo", "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: AAooBoooooBoooCoooooCDDDoooooooooEEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "BBBoooooAACoooooCoDDoooooooooooEEooo", "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: BBBoooooAACoooooCoDDoooooooooooEEooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>2\n"]}} {"board": "oooooooooooBooAAoBCCooooooooDDoooooo", "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: oooooooooooBooAAoBCCooooooooDDoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,A>2\n"]}} {"board": "ooooooAAoooBoooooBCoDDDBCEEEooCooooo", "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: ooooooAAoooBoooooBCoDDDBCEEEooCooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oBoooooBoooooooooooAAoCoooooCooooooo", "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: oBoooooBoooooooooooAAoCoooooCooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>3\n"]}} {"board": "AAooBooCCoBooDoooEFDoooEFooGGGFooHHo", "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: AAooBooCCoBooDoooEFDoooEFooGGGFooHHo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oooBoCoooBDCoAAoDoooooDoooEoooooEooo", "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: oooBoCoooBDCoAAoDoooooDoooEoooooEooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv2,A>3\n"]}} {"board": "AAooBoooooBCoDDEBCooFEoCooFEGGooFooo", "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: AAooBoooooBCoDDEBCooFEoCooFEGGooFooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "BoooooBoooCoooAACoooooCooooooooooooo", "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: BoooooBoooCoooAACoooooCooooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,A>2\n"]}} {"board": "ooooooooooooBBBooCooAAoCoooooCoooooo", "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: ooooooooooooBBBooCooAAoCoooooCoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>2\n"]}} {"board": "oooBBBoAAoCoDDooCoEooFCoEGoFooEGoFHH", "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: oooBBBoAAoCoDDooCoEooFCoEGoFooEGoFHH\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>3\n"]}} {"board": "ooooooooooooooooooooBBBCoooooCooAAoC", "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: ooooooooooooooooooooBBBCoooooCooAAoC\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>2\n"]}} {"board": "oooooooooooBoooAABoooooooCoooDoCoooD", "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: oooooooooooBoooAABoooooooCoooDoCoooD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,A>1\n"]}} {"board": "oooooooBoooooBoAACoooDoCoEoDoooEoDoo", "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: oooooooBoooooBoAACoooDoCoEoDoooEoDoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>1\n"]}} {"board": "oooooooooooBAAoooBooCCCooooooooooooo", "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: oooooooooooBAAoooBooCCCooooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,A>4\n"]}} {"board": "ooBCooooBCoDoEBAADoEooFoGGHHFoooIIFo", "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: ooBCooooBCoDoEBAADoEooFoGGHHFoooIIFo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>1\n"]}} {"board": "oAAooBCCoDoBoEFDGooEFDGooEoHHHIIoooo", "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: oAAooBCCoDoBoEFDGooEFDGooEoHHHIIoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "ooBBBooooooCooDAACooDooCooDEoooooEoo", "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: ooBBBooooooCooDAACooDooCooDEoooooEoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,A>1\n"]}} {"board": "oooooooooooooooooBoAAooBCCDDoooooooo", "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: oooooooooooooooooBoAAooBCCDDoooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,A>3\n"]}} {"board": "BAAoCoBooDCoEFoDCoEFooooEGGGHHooIIoo", "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: BAAoCoBooDCoEFoDCoEFooooEGGGHHooIIoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>3\n"]}} {"board": "oBoCoooBoCoooBoAADooooEDFFFoEoooGGoo", "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: oBoCoooBoCoooBoAADooooEDFFFoEoooGGoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,A>1\n"]}} {"board": "oooBBBCCCoooDDDoooooAAoEoooooEoooooo", "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: oooBBBCCCoooDDDoooooAAoEoooooEoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^2,A>2\n"]}} {"board": "BBBooooooCoooDoCoooDEEEFGGGooFAAoooF", "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: BBBooooooCoooDoCoooDEEEFGGGooFAAoooF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,A>4\n"]}} {"board": "oooBooAAoBoooooooCoooooCooooooDDoooo", "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: oooBooAAoBoooooooCoooooCooooooDDoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>4\n"]}} {"board": "ooBAACooBooCooDDoCoooooooEoFFFoEooGG", "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: ooBAACooBooCooDDoCoooooooEoFFFoEooGG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>1\n"]}} {"board": "oBBBoooooooCooooDCooooDoooAADooooooo", "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: oBBBoooooooCooooDCooooDoooAADooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>2\n"]}} {"board": "oAABoooCoBDDoCoBooEFFooGEHHHoGoIIIoG", "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: oAABoooCoBDDoCoBooEFFooGEHHHoGoIIIoG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "oooooooooBBBCoAADoCooEDoCooEDFoooEoF", "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: oooooooooBBBCoAADoCooEDoCooEDFoooEoF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,A>2\n"]}} {"board": "oooooooooBBBooooooooooooooooCoooAACo", "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: oooooooooBBBooooooooooooooooCoooAACo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>2\n"]}} {"board": "oooooooooBoooAABooCooooDCoEEEDCoFFoD", "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: oooooooooBoooAABooCooooDCoEEEDCoFFoD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,A>3\n"]}} {"board": "ooAABoooooBoCDDDBoCoEFooooEFGGHHEFoo", "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: ooAABoooooBoCDDDBoCoEFooooEFGGHHEFoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "oooooBoAAooBoooooooooooooooooooooCCC", "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: oooooBoAAooBoooooooooooooooooooooCCC\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>3\n"]}} {"board": "oooAABoCoDDBoCoooBoCooEoFFFoEooooooo", "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: oooAABoCoDDBoCoooBoCooEoFFFoEooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>1\n"]}} {"board": "oooooooooAABoooooBCDoEEBCDooooCooooo", "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: oooooooooAABoooooBCDoEEBCDooooCooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>1\n"]}} {"board": "ooooooooooBoAAooBooCDDBooCoooooCoooo", "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: ooooooooooBoAAooBooCDDBooCoooooCoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>4\n"]}} {"board": "ooooBooooCBooooCBooooooooooAADoooooD", "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: ooooBooooCBooooCBooooooooooAADoooooD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,A>1\n"]}} {"board": "oBBBooCooooDCooooDCoAAoDoooEEEFFoooo", "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: oBBBooCooooDCooooDCoAAoDoooEEEFFoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>2\n"]}} {"board": "BoooooBAAooCBooooCooDDooooooooEEEooo", "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: BoooooBAAooCBooooCooDDooooooooEEEooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>3\n"]}} {"board": "oooooBCAAooBCoDoooCoDoooooEEFGooooFG", "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: oooooBCAAooBCoDoooCoDoooooEEFGooooFG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>3\n"]}} {"board": "AAooBooCCoBoDDDEoFGHoEoFGHoEoFGoIIoo", "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: AAooBooCCoBoDDDEoFGHoEoFGHoEoFGoIIoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oBoooooBoooooBAAoCoooooCooooooDDoooo", "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: oBoooooBoooooBAAoCoooooCooooooDDoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>2\n"]}} {"board": "ooBoooooBooooooooooooooooooCoooAACoo", "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: ooBoooooBooooooooooooooooooCoooAACoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>3\n"]}} {"board": "ooBoooooBoCoAAooCooooooooooooooooooo", "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: ooBoooooBoCoAAooCooooooooooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>4\n"]}} {"board": "oooooooBoooCoBoooCoooAACDoooooDooooo", "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: oooooooBoooCoBoooCoooAACDoooooDooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>1\n"]}} {"board": "BoooooBoooooooooooAAooCooDEECooDoooo", "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: BoooooBoooooooooooAAooCooDEECooDoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>4\n"]}} {"board": "ooAAoBooCCoBooooDoEoooDoEooFDoEooFoo", "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: ooAAoBooCCoBooooDoEoooDoEooFDoEooFoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "oooBBBooooooooCAADoECooDoEoooooEoFFF", "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: oooBBBooooooooCAADoECooDoEoooooEoFFF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,A>1\n"]}} {"board": "oAABoooooBCoDoooCoDEEECoDooFFFooGGGo", "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: oAABoooooBCoDoooCoDEEECoDooFFFooGGGo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "ooooooooooooooBoooooBoooooAACoDDooCo", "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: ooooooooooooooBoooooBoooooAACoDDooCo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>2\n"]}} {"board": "ooooooooooooooooooBoAAoCBooDDCBooooC", "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: ooooooooooooooooooBoAAoCBooDDCBooooC\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^3,A>2\n"]}} {"board": "BCooooBCoDDDBCooooAAEoooooEFFFooEooo", "size": 6, "moves": 2, "solution": ["E^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: BCooooBCoDDDBCooooAAEoooooEFFFooEooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^3,A>4\n"]}} {"board": "BoooooBooooCoAAooCDDDoooEoooooEooFFo", "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: BoooooBooooCoAAooCDDDoooEoooooEooFFo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>3\n"]}} {"board": "oooooooooAABCooooBCooooBCooooooooDDo", "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: oooooooooAABCooooBCooooBCooooooooDDo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>1\n"]}} {"board": "ooooooBoCCCoBooDooBoEDoFooEDoFoAAooF", "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: ooooooBoCCCoBooDooBoEDoFooEDoFoAAooF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,A>3\n"]}} {"board": "BoooooBoooooBooAACoooooCDDoEEEFFoooo", "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: BoooooBoooooBooAACoooooCDDoEEEFFoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>1\n"]}} {"board": "oooooooooAABoooCoBDooCooDooooooooooo", "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: oooooooooAABoooCoBDooCooDooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>1\n"]}} {"board": "oooooooAAoBoooCCBooooooooooooooooooo", "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: oooooooAAoBoooCCBooooooooooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "oooooooooooooooooooooBCoDDDBCoAAoBoo", "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: oooooooooooooooooooooBCoDDDBCoAAoBoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,A>4\n"]}} {"board": "ooooooooooooooooooBBBooCoAAooCooDDDC", "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: ooooooooooooooooooBBBooCoAAooCooDDDC\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>3\n"]}} {"board": "oBoooooBoCoooBoCoooAACoooDoooooDoooo", "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: oBoooooBoCoooBoCoooAACoooDoooooDoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>3\n"]}} {"board": "oooAABCCCooBooooooDoooEEDooFFFDooooo", "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: oooAABCCCooBooooooDoooEEDooFFFDooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>1\n"]}} {"board": "oAABoooooBCCoDoooooDEEFoooooFoooGGFo", "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: oAABoooooBCCoDoooooDEEFoooooFoooGGFo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "oooAABCCDoEBFFDoEoooDGGGHHoIIJooKKKJ", "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: oooAABCCDoEBFFDoEoooDGGGHHoIIJooKKKJ\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>1\n"]}} {"board": "oooAABooCCDBoEEoDoFoGoHoFoGoHIFJJoHI", "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: oooAABooCCDBoEEoDoFoGoHoFoGoHIFJJoHI\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>1\n"]}} {"board": "oooBoooooBooooooooCooAADCooooDCooooD", "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: oooBoooooBooooooooCooAADCooooDCooooD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^3,A>1\n"]}} {"board": "BoCCCoBooAADEoFFoDEGGGoDoHHHoooooIII", "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: BoCCCoBooAADEoFFoDEGGGoDoHHHoooooIII\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,A>1\n"]}} {"board": "oooooooBoooooBooCoooooCooAAoCooDDooo", "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: oooooooBoooooBooCoooooCooAAoCooDDooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>3\n"]}} {"board": "oooooooooooBoooooBooooooAACoooooCDDD", "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: oooooooooooBoooooBooooooAACoooooCDDD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>4\n"]}} {"board": "BCooooBCDooooCDooooAAooEoFFFoEoooooE", "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: BCooooBCDooooCDooooAAooEoFFFoEoooooE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^3,A>3\n"]}} {"board": "oooAABCCoooBoooooBoooDDoooooooEEoooo", "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: oooAABCCoooBoooooBoooDDoooooooEEoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>1\n"]}} {"board": "ooAABoCCCoBoDDoEBFGGGEoFoooEoFoooHHo", "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: ooAABoCCCoBoDDoEBFGGGEoFoooEoFoooHHo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "ooooooooooooBoooooBoooooBoooCooAAoCo", "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: ooooooooooooBoooooBoooooBoooCooAAoCo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>3\n"]}} {"board": "BCooDoBCooDoBCEEEoFooooGFooAAGooHHoG", "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: BCooDoBCooDoBCEEEoFooooGFooAAGooHHoG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nG^2,A>1\n"]}} {"board": "oBooCooBooCoooooCDooAAoDooEEooFFoooo", "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: oBooCooBooCoooooCDooAAoDooEEooFFoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>2\n"]}} {"board": "oooooooooooooBBBooooCoDoooCoDoAAooDo", "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: oooooooooooooBBBooooCoDoooCoDoAAooDo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>4\n"]}} {"board": "oooooooooooBoooooBoCDAAEoCDFoEoCoFoo", "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: oooooooooooBoooooBoCDAAEoCDFoEoCoFoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,A>1\n"]}} {"board": "oAAooBoooooBooCCCooooooooooooooDDDoo", "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: oAAooBoooooBooCCCooooooooooooooDDDoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "AAooBooCCoBDEFFFoDEoGGGDHHHIoJKKoIoJ", "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: AAooBooCCoBDEFFFoDEoGGGDHHHIoJKKoIoJ\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "ooBBBooooooooooooooooooCoAAooCoDDooC", "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: ooBBBooooooooooooooooooCoAAooCoDDooC\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>3\n"]}} {"board": "oooBCoDooBCEDooBCEDoAAoEFoooooFoGGGo", "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: oooBCoDooBCEDooBCEDoAAoEFoooooFoGGGo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,A>2\n"]}} {"board": "oooBBBCoooooCDoooooDoooEoDoooEooAAoE", "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: oooBBBCoooooCDoooooDoooEoDoooEooAAoE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,A>2\n"]}} {"board": "oooBBBCoAAoDCooooDCoEoFDGGEHFoooEHFo", "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: oooBBBCoAAoDCooooDCoEoFDGGEHFoooEHFo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,A>2\n"]}} {"board": "oooooooAABooCCCBoDoEoooDFEooGGFEoHHH", "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: oooooooAABooCCCBoDoEoooDFEooGGFEoHHH\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "oooooooooAABooCCoBDDDEoooFoEoooFoEGG", "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: oooooooooAABooCCoBDDDEoooFoEoooFoEGG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>1\n"]}} {"board": "ooBoooooBoooooBooooAAoCoooooCDooooCD", "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: ooBoooooBoooooBooooAAoCoooooCDooooCD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^3,A>3\n"]}} {"board": "ooooooooooooooooBoCoAABoCoooBoCooooo", "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: ooooooooooooooooBoCoAABoCoooBoCooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^2,A>2\n"]}} {"board": "BooAACBooooCBoDooooEDooooEoFFFooGGoo", "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: BooAACBooooCBoDooooEDooooEoFFFooGGoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>1\n"]}} {"board": "oooooooooooooooooooBooCDoBooCDoBAAoD", "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: oooooooooooooooooooBooCDoBooCDoBAAoD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>2\n"]}} {"board": "oooBBBoooooooooCoooooCoooAAoDoooooDo", "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: oooBBBoooooooooCoooooCoooAAoDoooooDo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,A>3\n"]}} {"board": "ooooooooooBoCAAoBoCoDoooooDoEEooDFFo", "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: ooooooooooBoCAAoBoCoDoooooDoEEooDFFo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,A>3\n"]}} {"board": "oooooooooAABCooooBCoooooCDDooooooooo", "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: oooooooooAABCooooBCoooooCDDooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>1\n"]}} {"board": "oooooBoooooBoooooCoooAACoDDooooooooo", "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: oooooBoooooBoooooCoooAACoDDooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,A>1\n"]}} {"board": "ooooooooooooooooooBAAooCBoDDoCBoEEEo", "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: ooooooooooooooooooBAAooCBoDDoCBoEEEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>3\n"]}} {"board": "AAoooBoooooBoooooooCCooooooDoooooDoo", "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: AAoooBoooooBoooooooCCooooooDoooooDoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "ooBBBCDooAACDEEooCFFFGoooHoGoooHoGII", "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: ooBBBCDooAACDEEooCFFFGoooHoGoooHoGII\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,A>1\n"]}} {"board": "oooooooooBoooAABooooooooooooCCoooDDD", "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: oooooooooBoooAABooooooooooooCCoooDDD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,A>3\n"]}} {"board": "AAooBoooooBoooooBoCDooooCDooooCDoooo", "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: AAooBoooooBoooooBoCDooooCDooooCDoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "ooooooooooooBBBooooooooCoDooECoDAAEo", "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: ooooooooooooBBBooooooooCoDooECoDAAEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,A>2\n"]}} {"board": "AAoooBoooooBoooooBoCoooooCDEoooCDEoo", "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: AAoooBoooooBoooooBoCoooooCDEoooCDEoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oBooCooBooCooBAACoooooooDoooooDooooo", "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: oBooCooBooCooBAACoooooooDoooooDooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv3,A>2\n"]}} {"board": "oBBBooooAACoDDooCoooooCooEEooooooooo", "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: oBBBooooAACoDDooCoooooCooEEooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>2\n"]}} {"board": "oAAooBoCCCoBoooooBoooDDoEoooooEFFFoo", "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: oAAooBoCCCoBoooooBoooDDoEoooooEFFFoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "oooBBBooAACooDooCooDooooEEEooooooooo", "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: oooBBBooAACooDooCooDooooEEEooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>2\n"]}} {"board": "ooBBBoooooooAAoooCoDDooCoooEEEoooooo", "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: ooBBBoooooooAAoooCoDDooCoooEEEoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>4\n"]}} {"board": "BCooDEBCFGDEBCFGoEAAFoooooHIIIooHoJJ", "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: BCooDEBCFGDEBCFGoEAAFoooooHIIIooHoJJ\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,A>4\n"]}} {"board": "ooooooBBBCoooAACoooooCoooooooooooooo", "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: ooooooBBBCoooAACoooooCoooooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,A>3\n"]}} {"board": "oooooooooBoooooBoooAABoooCooDDoCoooo", "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: oooooooooBoooooBoooAABoooCooDDoCoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,A>3\n"]}} {"board": "oooooooooBoooAABooooooooCCoDEEoooDFF", "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: oooooooooBoooAABooooooooCCoDEEoooDFF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,A>3\n"]}} {"board": "BoAACoBDooCooDEoCooDEoooooEoooooooFF", "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: BoAACoBDooCooDEoCooDEoooooEoooooooFF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>2\n"]}} {"board": "oooBBBooCoooooCDoooEoDFooEoDFooEAAFo", "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: oooBBBooCoooooCDoooEoDFooEoDFooEAAFo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,A>2\n"]}} {"board": "oBBBoCoAAooCDDooECFFFoEoGGHHHoIIJJKK", "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: oBBBoCoAAooCDDooECFFFoEoGGHHHoIIJJKK\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,A>3\n"]}} {"board": "BoooooBooooooooooooAAooCoooDoCoEEDoC", "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: BoooooBooooooooooooAAooCoooDoCoEEDoC\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^3,A>3\n"]}} {"board": "BBBCCCoAAooDEEFooDooFGHoIIIGHoJJJGHo", "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: BBBCCCoAAooDEEFooDooFGHoIIIGHoJJJGHo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,A>3\n"]}} {"board": "BCDEEEBCDFooBGDFoHIGAAoHIJKLLLIJKooo", "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: BCDEEEBCDFooBGDFoHIGAAoHIJKLLLIJKooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nH^1,A>2\n"]}} {"board": "BBBooooAACoooooCoooooCoooDoooooDoooo", "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: BBBooooAACoooooCoooooCoooDoooooDoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>3\n"]}} {"board": "oooooooAAooBoooooBCooooBCDooEoCDooEo", "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: oooooooAAooBoooooBCooooBCDooEoCDooEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "AAoBooCCoBoooooBoooooooooooooooooooo", "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: AAoBooCCoBoooooBoooooooooooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "ooBBBoAAoooCDooooCDEoFooDEoFoooEoFGG", "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: ooBBBoAAoooCDooooCDEoFooDEoFoooEoFGG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>4\n"]}} {"board": "oooooooooooooooBBBooAAoCDDoooCoooooo", "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: oooooooooooooooBBBooAAoCDDoooCoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>2\n"]}} {"board": "oooooooooooBCDAAoBCDoooooooEEooooooo", "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: oooooooooooBCDAAoBCDoooooooEEooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,A>2\n"]}} {"board": "oooBBBoooCCCoooAADooEFoDooEFooGGGFoo", "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: oooBBBoooCCCoooAADooEFoDooEFooGGGFoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,A>1\n"]}} {"board": "oooooooooAABoooooBooooCoooDDCoooooCo", "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: oooooooooAABoooooBooooCoooDDCoooooCo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>1\n"]}} {"board": "AABoooCCBoooooBooooooDDDEooooFEoGGoF", "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: AABoooCCBoooooBooooooDDDEooooFEoGGoF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "ooooooooooooooBoooAABooooCBDDDoCoooo", "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: ooooooooooooooBoooAABooooCBDDDoCoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^2,A>4\n"]}} {"board": "oooooBoooAABooooCBooooCooDDDooEEEFFF", "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: oooooBoooAABooooCBooooCooDDDooEEEFFF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>1\n"]}} {"board": "oBooCoDBooCoDBooCoDooAAEooFFoEooGGGE", "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: oBooCoDBooCoDBooCoDooAAEooFFoEooGGGE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^3,A>1\n"]}} {"board": "oBBBooooooooooooooCoooDoCoAADooooooo", "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: oBBBooooooooooooooCoooDoCoAADooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>2\n"]}} {"board": "oooBoooAABoooCooDooCooDoECoFDoEGGFoo", "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: oooBoooAABoooCooDooCooDoECoFDoEGGFoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>3\n"]}} {"board": "BBBoooooooCoAAooCoDoooCoDoooooDoEEoo", "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: BBBoooooooCoAAooCoDoooCoDoooooDoEEoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,A>4\n"]}} {"board": "AAoooBCooooBCooDoooooDooEEEooooooooo", "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: AAoooBCooooBCooDoooooDooEEEooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "BoCooDBoCooDooCAADEEoooooooFFooooGGo", "size": 6, "moves": 2, "solution": ["Dv3", "A>1"], "difficulty": "easy", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoCooDBoCooDooCAADEEoooooooFFooooGGo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv3,A>1\n"]}} {"board": "BooCCCBDAAEooDooEooDooEFoooooFGGHHHo", "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: BooCCCBDAAEooDooEooDooEFoooooFGGHHHo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,A>2\n"]}} {"board": "oAAooBoooooBooCCoooooooDEEFFFDoooooD", "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: oAAooBoooooBooCCoooooooDEEFFFDoooooD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "ooooooooooooAABoooCDBoooCDBoooCooooo", "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: ooooooooooooAABoooCDBoooCDBoooCooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oBoCCCoBooooAAooDooEooDooEoooFoooooF", "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: oBoCCCoBooooAAooDooEooDooEoooFoooooF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,A>4\n"]}} {"board": "ooBBBoooooCooAAoCoooooCooooooooooooo", "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: ooBBBoooooCooAAoCoooooCooooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,A>3\n"]}} {"board": "AABoooooBCoooDBCEEoDoFFFGDoHHoGooIII", "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: AABoooooBCoooDBCEEoDoFFFGDoHHoGooIII\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "ooooooooBCooooBCoooooCDoAAooDoooooDo", "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: ooooooooBCooooBCoooooCDoAAooDoooooDo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,A>4\n"]}} {"board": "ooAAoBCCCoDBooEEDBooooDoFGHIIIFGHoJJ", "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: ooAAoBCCCoDBooEEDBooooDoFGHIIIFGHoJJ\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "oAABoooooBCoDEEoCoDoooFFDGGHHooooIII", "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: oAABoooooBCoDEEoCoDoooFFDGGHHooooIII\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "oooBBBoCoooooCoooooooDoooooDoooAADoo", "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: oooBBBoCoooooCoooooooDoooooDoooAADoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>3\n"]}} {"board": "oAAooBooCCCBoooooBoDDEEooooooooooooo", "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: oAAooBooCCCBoooooBoDDEEooooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "ooooBoAAooBoooooBCoooooCoDDDoCooEEoo", "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: ooooBoAAooBoooooBCoooooCoDDDoCooEEoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>4\n"]}} {"board": "AAoooBooCCCBoooDEBFFFDEooooDEooooGGG", "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: AAoooBooCCCBoooDEBFFFDEooooDEooooGGG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oooBBBooAAoCoDDDoCoooooCooEoooooEFFo", "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: oooBBBooAAoCoDDDoCoooooCooEoooooEFFo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>2\n"]}} {"board": "oooBBBooAAoCoooooCooooDoEEEoDoooFFoo", "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: oooBBBooAAoCoooooCooooDoEEEoDoooFFoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>2\n"]}} {"board": "oooBoooooBooAAoooCDoooECDFFFECDooooo", "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: oooBoooooBooAAoooCDoooECDFFFECDooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>4\n"]}} {"board": "oooBBBoooCooAAoCooooDCooooDooooEEoFF", "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: oooBBBoooCooAAoCooooDCooooDooooEEoFF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,A>4\n"]}} {"board": "oooooooooBBBooAAoCDDDEoCoooEoCFFoEoo", "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: oooooooooBBBooAAoCDDDEoCoooEoCFFoEoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>2\n"]}} {"board": "oooBCDoEoBCDFEoBCGFEoAAGFHHoIoJJooIo", "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: oooBCDoEoBCDFEoBCGFEoAAGFHHoIoJJooIo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nGv2,A>1\n"]}} {"board": "AAoooBoooCCBoDDEoBFFGEooHoGoIoHoGoIo", "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: AAoooBoooCCBoDDEoBFFGEooHoGoIoHoGoIo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oooooooooooooAAooBooooCBooDDCBEEEoCo", "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: oooooooooooooAAooBooooCBooDDCBEEEoCo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "ooooooooAABoooooBooCoDoooCoDoEoooDoE", "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: ooooooooAABoooooBooCoDoooCoDoEoooDoE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "oooooooooAABoooooBoCCCoBoooooooooDDD", "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: oooooooooAABoooooBoCCCoBoooooooooDDD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>1\n"]}} {"board": "oooBBBooCCCDoAAooDEoFFFDEooooooooGGo", "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: oooBBBooCCCDoAAooDEoFFFDEooooooooGGo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv2,A>3\n"]}} {"board": "oooooooooooooBooCooBAACooBoDCEoFFDoE", "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: oooooooooooooBooCooBAACooBoDCEoFFDoE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>2\n"]}} {"board": "oBoooCoBAAoCoBoooooooooooooooooooooo", "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: oBoooCoBAAoCoBoooooooooooooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,A>2\n"]}} {"board": "oBoooooBoooCAAoooCDooEooDooEooDoFFoo", "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: oBoooooBoooCAAoooCDooEooDooEooDoFFoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>4\n"]}} {"board": "ooBBBooooooooAAooCoooooCDoooEEDooooo", "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: ooBBBooooooooAAooCoooooCDoooEEDooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>3\n"]}} {"board": "oooooooooooBooCooBooCDoBoooDoooAADoo", "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: oooooooooooBooCooBooCDoBoooDoooAADoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>3\n"]}} {"board": "oooooooooooBoCCCoBoooAABooooooDDDooo", "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: oooooooooooBoCCCoBoooAABooooooDDDooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,A>1\n"]}} {"board": "AAooBoooooBooooooCDEFGHCDEFGHoooooII", "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: AAooBoooooBooooooCDEFGHCDEFGHoooooII\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "ooBoooooBCDoooBCDoAAoCooooooEooFFFEo", "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: ooBoooooBCDoooBCDoAAoCooooooEooFFFEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>4\n"]}} {"board": "ooooooooooooooooooAAoBooCCCBoDoooBoD", "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: ooooooooooooooooooAAoBooCCCBoDoooBoD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^3,A>4\n"]}} {"board": "ooAABoCCCoBoooooBooooDoEoFFDGEooooGE", "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: ooAABoCCCoBoooooBooooDoEoFFDGEooooGE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "AABoooooBoooooBooooooCDDoooCoooEECoo", "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: AABoooooBoooooBooooooCDDoooCoooEECoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oooooooBoooooBoooooooooooooCoooAACoo", "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: oooooooBoooooBoooooooooooooCoooAACoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>3\n"]}} {"board": "oooBooAAoBoooooBooCCDoEEooDoooooDFFo", "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: oooBooAAoBoooooBooCCDoEEooDoooooDFFo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>4\n"]}} {"board": "BoCoooBoCDDDBoCAAEFFFoGEHHooGEIIJJGo", "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: BoCoooBoCDDDBoCAAEFFFoGEHHooGEIIJJGo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,A>1\n"]}} {"board": "oooooooooooooAAooBCCCooBoooDoooooDEE", "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: oooooooooooooAAooBCCCooBoooDoooooDEE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^2,A>3\n"]}} {"board": "oooAABoooooBoooooBooCCCoDEEFFFDGGoHH", "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: oooAABoooooBoooooBooCCCoDEEFFFDGGoHH\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>1\n"]}} {"board": "ooooooooooooBBBooooooooooooooCAAoooC", "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: ooooooooooooBBBooooooooooooooCAAoooC\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>4\n"]}} {"board": "oooBBBoooCCCDoooooDooEFoDGoEFooGAAFo", "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: oooBBBoooCCCDoooooDooEFoDGoEFooGAAFo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,A>2\n"]}} {"board": "oooooooBBBooooooCoooooCDoooAADoooooD", "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: oooooooBBBooooooCoooooCDoooAADoooooD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,A>1\n"]}} {"board": "oooooBooAAoBoooooBoCCCDoooEoDoooEoFF", "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: oooooBooAAoBoooooBoCCCDoooEoDoooEoFF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>2\n"]}} {"board": "oAAoBoCoooBoCoooBoCoooooDDooEoooFFEo", "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: oAAoBoCoooBoCoooBoCoooooDDooEoooFFEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "oAAoBoooooBooooooooCoooooCoooDoooooD", "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: oAAoBoooooBooooooooCoooooCoooDoooooD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "ooAAoBCDDEoBCooEoBFFGGGoHoIJJJHoIKKK", "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: ooAAoBCDDEoBCooEoBFFGGGoHoIJJJHoIKKK\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "oooooooooooooooAABoooooBCCooooooooDD", "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: oooooooooooooooAABoooooBCCooooooooDD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^2,A>1\n"]}} {"board": "AAoBoooooBooooooooooCCCoooDDDooooEEE", "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: AAoBoooooBooooooooooCCCoooDDDooooEEE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "ooBoooooBoooooBooCooDAACooDooCEEDFFF", "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: ooBoooooBoooooBooCooDAACooDooCEEDFFF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>1\n"]}} {"board": "BBBoCoooooCooAAoCoDDDEoFoooEoFoooooF", "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: BBBoCoooooCooAAoCoDDDEoFoooEoFoooooF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv3,A>3\n"]}} {"board": "ooooBoooAABoCCCoBoDoooooDoEoooDoEooo", "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: ooooBoooAABoCCCoBoDoooooDoEoooDoEooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>2\n"]}} {"board": "oooooooooBoooAABooooooCoDoooCoDoooCo", "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: oooooooooBoooAABooooooCoDoooCoDoooCo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,A>3\n"]}} {"board": "BAACooBooCoooDDoEoFoGGEHFoIJEHFoIJoH", "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: BAACooBooCoooDDoEoFoGGEHFoIJEHFoIJoH\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>3\n"]}} {"board": "oBoooooBoooooooooooCooDooCooDooCAADo", "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: oBoooooBoooooooooooCooDooCooDooCAADo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>2\n"]}} {"board": "oooooooooBBBoooCCCAADoooooDoooooDooo", "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: oooooooooBBBoooCCCAADoooooDoooooDooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^3,A>4\n"]}} {"board": "oooooooBoooooBoCoooooCDoooooDoAAooDo", "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: oooooooBoooooBoCoooooCDoooooDoAAooDo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>4\n"]}} {"board": "oBoooooBoCoooAACoooooCooDoooooDooooo", "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: oBoooooBoCoooAACoooooCooDoooooDooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,A>3\n"]}} {"board": "ooBBBoAAooCoDDDoCooEoFCooEoFoooEoFoo", "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: ooBBBoAAooCoDDDoCooEoFCooEoFoooEoFoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>4\n"]}} {"board": "BBBooooooooCDAAooCDEoooFGEHooFGoHooo", "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: BBBooooooooCDAAooCDEoooFGEHooFGoHooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>3\n"]}} {"board": "ooAAoBoCCoDBEoFFDBEGGoDoHIJJooHIoKKK", "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: ooAAoBoCCoDBEoFFDBEGGoDoHIJJooHIoKKK\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "ooAAoBoCCCoBoooooBoDEEooFDGGGHFooooH", "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: ooAAoBoCCCoBoooooBoDEEooFDGGGHFooooH\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "ooooooooooooAAoBoooCoBoooCoBoooCoooo", "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: ooooooooooooAAoBoooCoBoooCoBoooCoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oooooooooAABooCDoBooCDoBoooooooooooo", "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: oooooooooAABooCDoBooCDoBoooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>1\n"]}} {"board": "oooBBBoAAoCooDDoCoEEoFCoooGFooooGFoo", "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: oooBBBoAAoCooDDoCoEEoFCoooGFooooGFoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>3\n"]}} {"board": "BoCoooBoCooDBoCooDoooAADoooooooooooo", "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: BoCoooBoCooDBoCooDoooAADoooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>1\n"]}} {"board": "oBoooCoBoooCoBAAoCoooooooooooooooooo", "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: oBoooCoBoooCoBAAoCoooooooooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv3,A>2\n"]}} {"board": "oooBoooAABoooooooooCoooooCoooooCoDDD", "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: oooBoooAABoooooooooCoooooCoooooCoDDD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>3\n"]}} {"board": "ooooooooooBooAAoBoCooDDDCEEoFoCGGGFo", "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: ooooooooooBooAAoBoCooDDDCEEoFoCGGGFo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,A>3\n"]}} {"board": "oooBBBoooooooooooooAAooCDooooCDoooEE", "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: oooBBBoooooooooooooAAooCDooooCDoooEE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>3\n"]}} {"board": "oooooBoooAABooCCCooooooooooDDooooEEE", "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: oooooBoooAABooCCCooooooooooDDooooEEE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>1\n"]}} {"board": "ooBoooooBooooooooooCAAoDoCoooDoCoEED", "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: ooBoooooBooooooooooCAAoDoCoooDoCoEED\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^3,A>2\n"]}} {"board": "BoooooBoooooBooooCAAoooCoooooCoooooo", "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: BoooooBoooooBooooCAAoooCoooooCoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>4\n"]}} {"board": "oooooBoooooBoooooooooCoooooCooAAoCoo", "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: oooooBoooooBoooooooooCoooooCooAAoCoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>4\n"]}} {"board": "BCCCoDBEAAoDBEoooooEooooooFoooooFooo", "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: BCCCoDBEAAoDBEoooooEooooooFoooooFooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv2,A>2\n"]}} {"board": "oooooooooooBoCoooBoCDoooooDoooAADooo", "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: oooooooooooBoCoooBoCDoooooDoooAADooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>4\n"]}} {"board": "oBoooooBoAACoBoooCoooooCoooDoooooDoo", "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: oBoooooBoAACoBoooCoooooCoooDoooooDoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>1\n"]}} {"board": "oooBBBoooooooAAooCDDDEoCoooEoCoooEoo", "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: oooBBBoooooooAAooCDDDEoCoooEoCoooEoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>3\n"]}} {"board": "ooBooCooBoDCooBoDCoAAoDoEoooFoEoooFo", "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: ooBooCooBoDCooBoDCoAAoDoEoooFoEoooFo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>3\n"]}} {"board": "oAAoBoooooBoooooBoooooooCCCDDooEEEoo", "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: oAAoBoooooBoooooBoooooooCCCDDooEEEoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "oooooBooCCCBoooooDoooooDooooEoooAAEo", "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: oooooBooCCCBoooooDoooooDooooEoooAAEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,A>2\n"]}} {"board": "AAoBoooooBoooooBoooCoooDoCoooDoCEEoD", "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: AAoBoooooBoooooBoooCoooDoCoooDoCEEoD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "BCooooBCoDDDBAAooEooooFEooooFoGGooFo", "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: BCooooBCoDDDBAAooEooooFEooooFoGGooFo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,A>3\n"]}} {"board": "BAAoCoBoDDCoEEFoCooGFHoIoGFHJIoGoHJI", "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: BAAoCoBoDDCoEEFoCooGFHoIoGFHJIoGoHJI\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>3\n"]}} {"board": "ooooooBBBoooCCCooDoooooDAAoooDoooooo", "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: ooooooBBBoooCCCooDoooooDAAoooDoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>4\n"]}} {"board": "ooooooooBBBCoAAooCDDoooCooEoooooEooo", "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: ooooooooBBBCoAAooCDDoooCooEoooooEooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,A>3\n"]}} {"board": "oooooBoooAABCCoDoBoooDooEEEFFooooGGG", "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: oooooBoooAABCCoDoBoooDooEEEFFooooGGG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>1\n"]}} {"board": "BoooooBoooooBoooCoAAooCooooooooooooo", "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: BoooooBoooooBoooCoAAooCooooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>4\n"]}} {"board": "ooBBBCoAAooCoooooooDoooooDoooooDEEEo", "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: ooBBBCoAAooCoooooooDoooooDoooooDEEEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,A>3\n"]}} {"board": "AAoooBCCDDEBoFFFEoooooGHIIIJGHoooJGH", "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: AAoooBCCDDEBoFFFEoooooGHIIIJGHoooJGH\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oooBBBooCoooooCoooAACoooooooooooooDD", "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: oooBBBooCoooooCoooAACoooooooooooooDD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>4\n"]}} {"board": "AAooBoooCoBoooCooooDCoEFoDooEFoDooEo", "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: AAooBoooCoBoooCooooDCoEFoDooEFoDooEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "ooooooooAAoBooCooBooCoDoooCoDoooooDo", "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: ooooooooAAoBooCooBooCoDoooCoDoooooDo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "oAAooBCooooBCooooBoooooooooooDoooooD", "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: oAAooBCooooBCooooBoooooooooooDoooooD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "oooAABoCDoEBFCDoEoFCGGHoFIIoHJKKooHJ", "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: oooAABoCDoEBFCDoEoFCGGHoFIIoHJKKooHJ\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>1\n"]}} {"board": "BBBCCCAAoooDoooooDooooEooFFFEooGGGEo", "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: BBBCCCAAoooDoooooDooooEooFFFEooGGGEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,A>4\n"]}} {"board": "ooooBooooCBooAACoooooooooooooooooooo", "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: ooooBooooCBooAACoooooooooooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>3\n"]}} {"board": "oBCDDDEBCoooEoCoooEFGooHoFGAAHoFGooH", "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: oBCDDDEBCoooEoCoooEFGooHoFGAAHoFGooH\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nH^2,A>1\n"]}} {"board": "ooooooBoooooBAAooCBooooCoooooCDDoooo", "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: ooooooBoooooBAAooCBooooCoooooCDDoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>3\n"]}} {"board": "oooooooooooBooAAoBooooooooooCCoooooo", "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: oooooooooooBooAAoBooooooooooCCoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,A>2\n"]}} {"board": "ooBBBoCooooDCooooDCEAAoDoEoFFFoEoooo", "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: ooBBBoCooooDCooooDCEAAoDoEoFFFoEoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>2\n"]}} {"board": "oooooBooCAABooCooBoooooooDDDoooooooo", "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: oooooBooCAABooCooBoooooooDDDoooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>1\n"]}} {"board": "AAoBoooooBCCoooBoooDooEEoDoooooooooo", "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: AAoBoooooBCCoooBoooDooEEoDoooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "ooooooooooooooooBoAAooBooooooooooooo", "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: ooooooooooooooooBoAAooBooooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,A>4\n"]}} {"board": "BBBoooooooCoooooCoooooCDoEEEoDoooAAD", "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: BBBoooooooCoooooCoooooCDoEEEoDoooAAD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>1\n"]}} {"board": "ooooooooBoooooBoooAAoCoooooCoooooCDD", "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: ooooooooBoooooBoooAAoCoooooCoooooCDD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^3,A>4\n"]}} {"board": "ooAAoBoooooBooCCCooDEFFGoDEHHGooEIIG", "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: ooAAoBoooooBooCCCooDEFFGoDEHHGooEIIG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "oooooooooooBCCCooBoooooBooooDooAAoDo", "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: oooooooooooBCCCooBoooooBooooDooAAoDo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>3\n"]}} {"board": "oooBBBoCDEoooCDEoooooooFoooooFAAoooF", "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: oooBBBoCDEoooCDEoooooooFoooooFAAoooF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,A>4\n"]}} {"board": "ooooBoCoooBoCoooDoCooEDooooEoooAAEoo", "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: ooooBoCoooBoCoooDoCooEDooooEoooAAEoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,A>3\n"]}} {"board": "oooooBooooCBoAAoCooDEEFoGDHIFoGDHIoo", "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: oooooBooooCBoAAoCooDEEFoGDHIFoGDHIoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>3\n"]}} {"board": "AABoooooBoooCoBDDoCoooEEoooooooFFFoo", "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: AABoooooBoooCoBDDoCoooEEoooooooFFFoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oooBBBooooooAACoooooCooooooDDooooooo", "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: oooBBBooooooAACoooooCooooooDDooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>4\n"]}} {"board": "oooBoooCoBoooCAAoDoooEoDoooEoDoooEoo", "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: oooBoooCoBoooCAAoDoooEoDoooEoDoooEoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,A>2\n"]}} {"board": "BoooooBCoooooCDoooooDooEFGDooEFGAAoE", "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: BoooooBCoooooCDoooooDooEFGDooEFGAAoE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,A>2\n"]}} {"board": "ooooBoCoooBoCooooDCEAAoDoEoooDoEoFFF", "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: ooooBoCoooBoCooooDCEAAoDoEoooDoEoFFF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,A>2\n"]}} {"board": "oooBoooooBoCoooAACoooooCooDDoooooooo", "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: oooBoooooBoCoooAACoooooCooDDoooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,A>1\n"]}} {"board": "AABoooooBCCoooooooooooDoEoooDoEooooo", "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: AABoooooBCCoooooooooooDoEoooDoEooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oBoooooBoooooBooCoAAooCoooDDCooooooo", "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: oBoooooBoooooBooCoAAooCoooDDCooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>4\n"]}} {"board": "ooAAoBoooooBoooooBooCCCoDDoEoooooEoo", "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: ooAAoBoooooBoooooBooCCCoDDoEoooooEoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "oooBooAAoBoooooooooCoooDECoooDECFFFo", "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: oooBooAAoBoooooooooCoooDECoooDECFFFo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>4\n"]}} {"board": "oAABooCDEBFFCDEBooGGooHoooooHoIIooHo", "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: oAABooCDEBFFCDEBooGGooHoooooHoIIooHo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "oooBBBoooooooCCCoooooooDooAAoDoooooo", "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: oooBBBoooooooCCCoooooooDooAAoDoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>2\n"]}} {"board": "BoooooBooooCBoAAoCoooDDDoEoFFFoEoooo", "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: BoooooBooooCBoAAoCoooDDDoEoFFFoEoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>2\n"]}} {"board": "oAAooBoooooBCoDEooCoDEFFCooEoooooooo", "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: oAAooBoooooBCoDEooCoDEFFCooEoooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "BooCooBoDCooAADooooooooEoooooEoooFFF", "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: BooCooBoDCooAADooooooooEoooooEoooFFF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>4\n"]}} {"board": "oooBBBooooCooAAoCoDDooCooEFFoooEoooo", "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: oooBBBooooCooAAoCoDDooCooEFFoooEoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,A>3\n"]}} {"board": "BoAACoBoDDCoEFGGCoEFHHoIEooJJIoKKKoI", "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: BoAACoBoDDCoEFGGCoEFHHoIEooJJIoKKKoI\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>2\n"]}} {"board": "oBCooooBCoDoooCoDoAAooDoEoooFoEoooFo", "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: oBCooooBCoDoooCoDoAAooDoEoooFoEoooFo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>4\n"]}} {"board": "oooooooooBBBooCDDDooCoooooCooEoAAooE", "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: oooooooooBBBooCDDDooCoooooCooEoAAooE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,A>3\n"]}} {"board": "oooooooAABoooooBooooooooooooooooCCoo", "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: oooooooAABoooooBooooooooooooooooCCoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "BooCoDBooCoDooEFFFooEAAGooEHoGoIIHoo", "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: BooCoDBooCoDooEFFFooEAAGooEHoGoIIHoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nGv1,A>1\n"]}} {"board": "oooBCooooBCooDDDCEooFAAEooFGGEoHHHoo", "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: oooBCooooBCooDDDCEooFAAEooFGGEoHHHoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^2,A>1\n"]}} {"board": "ooBoooooBoooAAooCoooooCDoEoooDoEoooD", "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: ooBoooooBoooAAooCoooooCDoEoooDoEoooD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>4\n"]}} {"board": "ooooooBoooooBooooCoAAooCoooooooDDooo", "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: ooooooBoooooBooooCoAAooCoooooooDDooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>3\n"]}} {"board": "ooooooooAABooCCoBooDoooooDEoFooDEoFo", "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: ooooooooAABooCCoBooDoooooDEoFooDEoFo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "oBBBooooAACooDooCooDoooooDooEoFFooEo", "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: oBBBooooAACooDooCooDoooooDooEoFFooEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>2\n"]}} {"board": "oAAooBoooooBooooooooooCoDoooCoDoooCo", "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: oAAooBoooooBooooooooooCoDoooCoDoooCo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "oAAooBoooooBoooooBooooooooooooCCoooo", "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: oAAooBoooooBoooooBooooooooooooCCoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "BoooooBoooooBooCoDoooCoDooAAoDoEEooo", "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: BoooooBoooooBooCoDoooCoDooAAoDoEEooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>2\n"]}} {"board": "oooooooooBoooAABooooooCCDDoEoooooEoo", "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: oooooooooBoooAABooooooCCDDoEoooooEoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,A>3\n"]}} {"board": "oooBBBoCCCooAAooDooEFGDHoEFGoHoEFGoH", "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: oooBBBoCCCooAAooDooEFGDHoEFGoHoEFGoH\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,A>4\n"]}} {"board": "AAoBoooooBoCDDoooCooooooooEEEooooooo", "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: AAoBoooooBoCDDoooCooooooooEEEooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "ooBoooAABoooooBoooooooooooooCCoooooo", "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: ooBoooAABoooooBoooooooooooooCCoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>4\n"]}} {"board": "AAooBooCCCBoDDooBoEFFooGEooHHGooIIoG", "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: AAooBooCCCBoDDooBoEFFooGEooHHGooIIoG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "ooooooooooBooooCBoDDDCBEoooCoEoooAAE", "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: ooooooooooBooooCBoDDDCBEoooCoEoooAAE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,A>1\n"]}} {"board": "oooooooAABoooCCBoooooooooDooEooDooEo", "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: oooooooAABoooCCBoooooooooDooEooDooEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "oooAABoCoooBoCDEEoFCDGoHFIDGoHFIoooo", "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: oooAABoCoooBoCDEEoFCDGoHFIDGoHFIoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>1\n"]}} {"board": "oooBoooooBooAAoBooCoooooCoooDDCooooo", "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: oooBoooooBooAAoBooCoooooCoooDDCooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv3,A>4\n"]}} {"board": "ooooooAAoooBCooooBCoooDBEEoFDooooFDo", "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: ooooooAAoooBCooooBCoooDBEEoFDooooFDo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "ooooooAAoBoooooBoooooooooooCDDoooCoo", "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: ooooooAAoBoooooBoooooooooooCDDoooCoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oooBBBooCoooooCoooAACooooooooooDDooo", "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: oooBBBooCoooooCoooAACooooooooooDDooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>4\n"]}} {"board": "oooAABoooooBoooooBCoDDooCEEEoFCooooF", "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: oooAABoooooBoooooBCoDDooCEEEoFCooooF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>1\n"]}} {"board": "BCDDDoBCoEooBCoEoooooEoFoAAooFoGGGoF", "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: BCDDDoBCoEooBCoEoooooEoFoAAooFoGGGoF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^2,A>3\n"]}} {"board": "ooBoooooBoooooBoCoooAACooooooooooooo", "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: ooBoooooBoooooBoCoooAACooooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>2\n"]}} {"board": "oooooBoCCCoBooooooDEooFoDEAAFoDEoooo", "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: oooooBoCCCoBooooooDEooFoDEAAFoDEoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,A>2\n"]}} {"board": "AAoooBCCoooBoooooBoooDoooEoDoFoEoooF", "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: AAoooBCCoooBoooooBoooDoooEoDoFoEoooF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "BAAoCoBoooCoBooooooDDoooEFFFGGEoHHHo", "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: BAAoCoBoooCoBooooooDDoooEFFFGGEoHHHo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>3\n"]}} {"board": "ooooBoAAooBooCCooDoooooDoooooooooooo", "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: ooooBoAAooBooCCooDoooooDoooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>4\n"]}} {"board": "BBBoooooooCooAAoCooDooCooDoooooEEooo", "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: BBBoooooooCooAAoCooDooCooDoooooEEooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,A>3\n"]}} {"board": "oAAoBoooooBCoDDooCEEEoooFFFGGGoooooo", "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: oAAoBoooooBCoDDooCEEEoooFFFGGGoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "AAoooBoooooBooCCCBooooooDDoooooooooo", "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: AAoooBoooooBooCCCBooooooDDoooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "ooAABoooooBoooooooooooooCDDDooCooooo", "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: ooAABoooooBoooooooooooooCDDDooCooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "oooooooooooooBBBooCoDAAECoDoFECoDoFE", "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: oooooooooooooBBBooCoDAAECoDoFECoDoFE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^3,A>1\n"]}} {"board": "AAoBoooooBoooooBoooCoooooCoDDooooooo", "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: AAoBoooooBoooooBoooCoooooCoDDooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "ooooooAAoooBoCCCoBDoEEooDoooFFDooGGG", "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: ooooooAAoooBoCCCoBDoEEooDoooFFDooGGG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "ooBoooCoBooDCoBooDCoEAADooEoooooFFFo", "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: ooBoooCoBooDCoBooDCoEAADooEoooooFFFo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>1\n"]}} {"board": "ooooooooooooooooBoooAABoCCoooooooooo", "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: ooooooooooooooooBoooAABoCCoooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,A>2\n"]}} {"board": "ooBAACDoBooCDoBooCDoEFFooGEooooGEooo", "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: ooBAACDoBooCDoBooCDoEFFooGEooooGEooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>1\n"]}} {"board": "oBoCCCoBoDoooBoDooooooEoFGAAEoFGooEo", "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: oBoCCCoBoDoooBoDooooooEoFGAAEoFGooEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^2,A>2\n"]}} {"board": "BoooooBoooooBooooooooAACoooooCoooooo", "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: BoooooBoooooBooooooooAACoooooCoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>1\n"]}} {"board": "oooooooAAoBoooooBoCDDoBoCoooooCooooo", "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: oooooooAAoBoooooBoCDDoBoCoooooCooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "oooBCooDEBCFGDEBoFGDAAoHGoooIHoJJoIo", "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: oooBCooDEBCFGDEBoFGDAAoHGoooIHoJJoIo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nHv1,A>2\n"]}} {"board": "oBoCDooBECDFooECDFooEAAFooGHHoooGIII", "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: oBoCDooBECDFooECDFooEAAFooGHHoooGIII\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,A>1\n"]}} {"board": "ooAABoooooBooCCoooDDooEoooooEoooooEo", "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: ooAABoooooBooCCoooDDooEoooooEoooooEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "oooooBCDDDEBCAAoEoCooFFFGGooooHHIIJJ", "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: oooooBCDDDEBCAAoEoCooFFFGGooooHHIIJJ\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,A>3\n"]}} {"board": "oBCooDoBCoEDFoAAEoFoGGooooHIIJKKHooJ", "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: oBCooDoBCoEDFoAAEoFoGGooooHIIJKKHooJ\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,A>2\n"]}} {"board": "oooBBBooCCCDoooAADooEFoDooEFooGGoFoo", "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: oooBBBooCCCDoooAADooEFoDooEFooGGoFoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv2,A>1\n"]}} {"board": "oooBBBooooCooooDCoEAADooEoFoGGEoFHHo", "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: oooBBBooooCooooDCoEAADooEoFoGGEoFHHo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>3\n"]}} {"board": "oooooooBoCoooBoCoooAAoDoooooDoooooDo", "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: oooooooBoCoooBoCoooAAoDoooooDoooooDo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^3,A>3\n"]}} {"board": "oooooooAAooBoooooBooooooooCCoDoooooD", "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: oooooooAAooBoooooBooooooooCCoDoooooD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "oooBooAAoBooooCBooDoCoooDoCoEEDooFFF", "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: oooBooAAoBooooCBooDoCoooDoCoEEDooFFF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>4\n"]}} {"board": "ooooBoooAABooCoDoooCEDoooCEoooooEooo", "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: ooooBoooAABooCoDoooCEDoooCEoooooEooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>2\n"]}} {"board": "oooAABCCCooBooDDDoEFoGGGEFHIJJEFHIoo", "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: oooAABCCCooBooDDDoEFoGGGEFHIJJEFHIoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>1\n"]}} {"board": "BoooooBooooCBoAAoCoooooooooDDooooooo", "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: BoooooBooooCBoAAoCoooooooooDDooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>2\n"]}} {"board": "ooooBoooooBooAAoCoooooCoooooCooooooo", "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: ooooBoooooBooAAoCoooooCoooooCooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>3\n"]}} {"board": "ooBoooooBoooooooooooAAoCoooooCoooooC", "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: ooBoooooBoooooooooooAAoCoooooCoooooC\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^3,A>2\n"]}} {"board": "ooBoooooBoooooBAACoooooCoDDooCoooEEo", "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: ooBoooooBoooooBAACoooooCoDDooCoooEEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>1\n"]}} {"board": "oooBBBoAACoooooCoooDoCoooDoooEoDoooE", "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: oooBBBoAACoooooCoooDoCoooDoooEoDoooE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>3\n"]}} {"board": "BoooooBoooooooooooooCDDDAACoooooCooo", "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: BoooooBoooooooooooooCDDDAACoooooCooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>4\n"]}} {"board": "oooooooAABoooooBoooooBooooooCoooooCo", "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: oooooooAABoooooBoooooBooooooCoooooCo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "ooooooooBAACDoBooCDoEEooDFoooooFoooo", "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: ooooooooBAACDoBooCDoEEooDFoooooFoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>1\n"]}} {"board": "BCDDDoBCoEEEBCoooooFGGGHoFAAoHoFoooo", "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: BCDDDoBCoEEEBCoooooFGGGHoFAAoHoFoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nH^1,A>2\n"]}} {"board": "AAoBoooooBooCCoooooooDoEoFFDoEoooDoE", "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: AAoBoooooBooCCoooooooDoEoFFDoEoooDoE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oAAoBoCCDDBoEFFFBGEHIIoGEHoooGoHJJKK", "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: oAAoBoCCDDBoEFFFBGEHIIoGEHoooGoHJJKK\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "oooooooBBBCoooooCoooAACoooooDDoooooo", "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: oooooooBBBCoooooCoooAACoooooDDoooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>2\n"]}} {"board": "ooAABooCooBooCDDBEFFGooEoHGIIIoHGJJJ", "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: ooAABooCooBooCDDBEFFGooEoHGIIIoHGJJJ\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "oooooooooooBAAoooBooCDDBEoCoooEoCooo", "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: oooooooooooBAAoooBooCDDBEoCoooEoCooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>4\n"]}} {"board": "ooooooooAAoBoCCCoBDooooBDoooooDEEooo", "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: ooooooooAAoBoCCCoBDooooBDoooooDEEooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "oBBBoooooooooooooooooCooAAoCoooDDooo", "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: oBBBoooooooooooooooooCooAAoCoooDDooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>4\n"]}} {"board": "ooBBBooCCCoDAAoooDoooooooooEooFFoEoo", "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: ooBBBooCCCoDAAoooDoooooooooEooFFoEoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>4\n"]}} {"board": "ooooooooooooooBoCoooBoCooooooDoAAooD", "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: ooooooooooooooBoCoooBoCooooooDoAAooD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>3\n"]}} {"board": "ooBoooAABoooooBoooCDoEooCDoEoooDoEFF", "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: ooBoooAABoooooBoooCDoEooCDoEoooDoEFF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>4\n"]}} {"board": "oBoCDooBoCDoooooooooAAoEoooooEFFFooE", "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: oBoCDooBoCDoooooooooAAoEoooooEFFFooE\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^3,A>2\n"]}} {"board": "ooooooooBBBCoAAooCoooooooDDDoooooooo", "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: ooooooooBBBCoAAooCoooooooDDDoooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>3\n"]}} {"board": "oooBBBAAoooCoooooCoooDooooEDFoooEoFo", "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: oooBBBAAoooCoooooCoooDooooEDFoooEoFo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>4\n"]}} {"board": "oBooooCBDoooCoDooooEAAoFoEGGoFoEHHoF", "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: oBooooCBDoooCoDooooEAAoFoEGGoFoEHHoF\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^3,A>2\n"]}} {"board": "AABoooooBCCCDooEEoDFGGGHDFIIoHJJoooH", "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: AABoooooBCCCDooEEoDFGGGHDFIIoHJJoooH\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oAAooBoooooBoooooooooooCoooDDCoooooC", "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: oAAooBoooooBoooooooooooCoooDDCoooooC\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "oooBoooAABoooooBooooooCoooooCooDDoCo", "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: oooBoooAABoooooBooooooCoooooCooDDoCo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>3\n"]}} {"board": "ooooooBBBooooooooCDEoAACDEooFCDEooFo", "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: ooooooBBBooooooooCDEoAACDEooFCDEooFo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>1\n"]}} {"board": "AAoBoooooBCoDDEoCoooEFFoGGoHHHoooIII", "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: AAoBoooooBCoDDEoCoooEFFoGGoHHHoooIII\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "AAooBoCCooBooooDoooooDEoooooEoooooEo", "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: AAooBoCCooBooooDoooooDEoooooEoooooEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "ooAAoBCCoooBoooooBooooooooDDDooooooo", "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: ooAAoBCCoooBoooooBooooooooDDDooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "oooBoooooBoooCDDDoECFooGEoFAAGEoFooo", "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: oooBoooooBoooCDDDoECFooGEoFAAGEoFooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nG^1,A>1\n"]}} {"board": "ooBBBooooooCoooooCoooAACooDEEEFFDooo", "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: ooBBBooooooCoooooCoooAACooDEEEFFDooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>1\n"]}} {"board": "oAAooBCoDooBCoDoEoFFDGEHoIoGEHoIoGoH", "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: oAAooBCoDooBCoDoEoFFDGEHoIoGEHoIoGoH\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "ooBoooAABooooooCCooooooooDooEEoDoooo", "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: ooBoooAABooooooCCooooooooDooEEoDoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>4\n"]}} {"board": "ooooooooAABoooooBoooooBoCoooooCooDDD", "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: ooooooooAABoooooBoooooBoCoooooCooDDD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "oooooooooooooAAoBoooooBooooCCooooooo", "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: oooooooooooooAAoBoooooBooooCCooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^2,A>3\n"]}} {"board": "ooAAoBoooooBooCooBooCooooooooooooooo", "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: ooAAoBoooooBooCooBooCooooooooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "ooAAoBoCCCDBEEooDoooooDooFFooooGGooo", "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: ooAAoBoCCCDBEEooDoooooDooFFooooGGooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "BoooooBooooCBDoAACEDoFFoEDoooooooGGG", "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: BoooooBooooCBDoAACEDoFFoEDoooooooGGG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>1\n"]}} {"board": "oooooooAAoBoooooBooooooCoDoooCoDoooC", "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: oooooooAAoBoooooBooooooCoDoooCoDoooC\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "oBBBooCCCooooooooDooEAADooEoooooEooo", "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: oBBBooCCCooooooooDooEAADooEoooooEooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>1\n"]}} {"board": "oBoooooBoooooooooooooooCoooAACoDDooo", "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: oBoooooBoooooooooooooooCoooAACoDDooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>1\n"]}} {"board": "ooooooooBBBooooAACooooDCooooDooooooo", "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: ooooooooBBBooooAACooooDCooooDooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>1\n"]}} {"board": "oooBCooooBCooDoooEoDAAoEoDoooooooooo", "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: oooBCooooBCooDoooEoDAAoEoDoooooooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,A>2\n"]}} {"board": "oooooooBBBoooooooCoooAACoooooooooDDD", "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: oooooooBBBoooooooCoooAACoooooooooDDD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>1\n"]}} {"board": "ooBBBoooCooDEoCooDEoCooDEAAoFoooooFo", "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: ooBBBoooCooDEoCooDEoCooDEAAoFoooooFo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^2,A>3\n"]}} {"board": "oBBBoooooooooooCoooooCoDoooooDoooAAD", "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: oBBBoooooooooooCoooooCoDoooooDoooAAD\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>1\n"]}} {"board": "oAAooBoooooBoCCDDBEooFooEooFooEooFoo", "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: oAAooBoooooBoCCDDBEooFooEooFooEooFoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "oooooooBBBoCoDDDoCAAEooooFEooooFoGGG", "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: oooooooBBBoCoDDDoCAAEooooFEooooFoGGG\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,A>4\n"]}} {"board": "AAoBoooooBooCoooooCDoEEECDFFoooDoooo", "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: AAoBoooooBooCoooooCDoEEECDFFoooDoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>4\n"]}} {"board": "oooBBBoooCCCoAAoDooEEEDoooFoDoooFooo", "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: oooBBBoooCCCoAAoDooEEEDoooFoDoooFooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,A>3\n"]}} {"board": "ooooBoooooBoooCooDooCAADoECooooEoooo", "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: ooooBoooooBoooCooDooCAADoECooooEoooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>1\n"]}} {"board": "ooBoooCoBoooCoBoooDDDoooooAAEoooooEo", "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: ooBoooCoBoooCoBoooDDDoooooAAEoooooEo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^2,A>2\n"]}} {"board": "oAAooBoCooDBoCooDooEoFDGHEoFoGHIIIoo", "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: oAAooBoCooDBoCooDooEoFDGHEoFoGHIIIoo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "ooAAoBCCoDDBoEEoFBGooHFoGIIHFoGJJKKK", "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: ooAAoBCCoDDBoEEoFBGooHFoGIIHFoGJJKKK\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "oAAooBCooooBCooooBooooooDEEoooDooooo", "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: oAAooBCooooBCooooBooooooDEEoooDooooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3\n"]}} {"board": "ooooooooAAoBooCooBooCoooDDCEEEoFFooo", "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: ooooooooAAoBooCooBooCoooDDCEEEoFFooo\nOptimal length (moves): 2\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2\n"]}} {"board": "oBBBoooAAoCDEoooCDEooooDEooFFFoooooo", "size": 6, "moves": 4, "solution": ["Cv1", "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: oBBBoooAAoCDEoooCDEooooDEooFFFoooooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,F<1,Cv1,A>3\n"]}} {"board": "AAoBCooooBCoDDooCEFGHHoEFGoooEFooooo", "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: AAoBCooooBCoDDooCEFGHHoEFGoooEFooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>4\n"]}} {"board": "ooBBBCooooDCooooDCAAooDoooEEoFoooooF", "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: ooBBBCooooDCooooDCAAooDoooEEoFoooooF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,D^1,A>4\n"]}} {"board": "ooAAoBoCCooBDDDEoBFFGEHHIIGJoKoooJoK", "size": 6, "moves": 4, "solution": ["E^1", "H<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: ooAAoBoCCooBDDDEoBFFGEHHIIGJoKoooJoK\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,H<1,Bv1,A>2\n"]}} {"board": "oooBoooAABooooCCDoooooDoooEEEooooooo", "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: oooBoooAABooooCCDoooooDoooEEEooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,Bv2,A>3\n"]}} {"board": "AABoCoDoBoCoDoooooDoEoooooEFFFooEooo", "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: AABoCoDoBoCoDoooooDoEoooooEFFFooEooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>4\n"]}} {"board": "BoooooBooooooooooooooCDEoAACDEoooCDE", "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: BoooooBooooooooooooooCDEoAACDEoooCDE\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,D^2,E^2,A>3\n"]}} {"board": "oooooBAAoooBoooCCCDoooooDoooEoDoooEo", "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: oooooBAAoooBoooCCCDoooooDoooEoDoooEo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,Bv2,A>4\n"]}} {"board": "ooBoooAABoCoDoBoCoDoooooDooooooooEEE", "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: ooBoooAABoCoDoBoCoDoooooDooooooooEEE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,Bv1,A>4\n"]}} {"board": "oBBBoCooAAoCoDDooCoooooooEoFFFoEGGGo", "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: oBBBoCooAAoCoDDooCoooooooEoFFFoEGGGo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Cv2,A>2\n"]}} {"board": "BooooCBooAACBDDDoCEEoFFFGoHIIoGoHooo", "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: BooooCBooAACBDDDoCEEoFFFGoHIIoGoHooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Cv2,A>1\n"]}} {"board": "oAAooBCCoDDBEooFFFEoGGoooooHoIoooHoI", "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: oAAooBCCoDDBEooFFFEoGGoooooHoIoooHoI\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Bv1,A>3\n"]}} {"board": "ooBBBoooooCDooooCDooAACooooEEEooooFF", "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: ooBBBoooooCDooooCDooAACooooEEEooooFF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,C^1,A>2\n"]}} {"board": "ooooooooBoCDooBoCDooAACDooooEEoooFFo", "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: ooooooooBoCDooBoCDooAACDooooEEoooFFo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^1,A>2\n"]}} {"board": "ooooooooooooooooBooAACBDEEoCBDooFFFo", "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: ooooooooooooooooBooAACBDEEoCBDooFFFo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^2,C^2,D^2,A>3\n"]}} {"board": "oBBBoooooooooCCCoDAAooEDoFFoEDoGGoEo", "size": 6, "moves": 3, "solution": ["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: oBBBoooooooooCCCoDAAooEDoFFoEDoGGoEo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,E^3,A>4\n"]}} {"board": "ooAABoCCDDBooEooFFoEooGGHEIIJoHoooJo", "size": 6, "moves": 3, "solution": ["F<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: ooAABoCCDDBooEooFFoEooGGHEIIJoHoooJo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<2,Bv1,A>2\n"]}} {"board": "ooooBooAAoBoooooooooooCoooooCooooDDD", "size": 6, "moves": 4, "solution": ["D<2", "Cv1", "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: ooooBooAAoBoooooooooooCoooooCooooDDD\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<2,Cv1,Bv2,A>3\n"]}} {"board": "AAoBoooooBoooooBCCoDDDooooEoFoooEoFo", "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: AAoBoooooBoooooBCCoDDDooooEoFoooEoFo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv1,A>4\n"]}} {"board": "BoooooBooCCCBooDDDoooooEoAAooEooFFoo", "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: BoooooBooCCCBooDDDoooooEoAAooEooFFoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,E^1,A>3\n"]}} {"board": "oBBBCooDDDCoEooFFFEGoAAHEGIIJHooooJH", "size": 6, "moves": 3, "solution": ["F<1", "H^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: oBBBCooDDDCoEooFFFEGoAAHEGIIJHooooJH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,H^3,A>1\n"]}} {"board": "ooooooooooBooAAoBoooooBooooCCDoEEEoD", "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: ooooooooooBooAAoBoooooBooooCCDoEEEoD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,Bv2,A>3\n"]}} {"board": "ooooBoAACoBoooCoBoooCDoooooDoooooDoo", "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: ooooBoAACoBoooCoBoooCDoooooDoooooDoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,Bv1,A>4\n"]}} {"board": "ooooooooooooooooooooBoCDAABoCDooBoCD", "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: ooooooooooooooooooooBoCDAABoCDooBoCD\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^2,C^2,D^2,A>4\n"]}} {"board": "oAAoBCDEoFBCDEoFoCDGoFooHGIIJJHGooKK", "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: oAAoBCDEoFBCDEoFoCDGoFooHGIIJJHGooKK\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>3\n"]}} {"board": "ooBAACooBooCoDEEoCFDoGGGFDHIIIFoHooo", "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: ooBAACooBooCoDEEoCFDoGGGFDHIIIFoHooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,Cv1,A>1\n"]}} {"board": "AAooBoooooBoCCoDEoFFFDEoGHHDEIGooooI", "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: AAooBoooooBoCCoDEoFFFDEoGHHDEIGooooI\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,Bv1,A>4\n"]}} {"board": "oooBBBoooCCCoooDEooooDEooAADoooooooo", "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: oooBBBoooCCCoooDEooooDEooAADoooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<3,D^1,A>3\n"]}} {"board": "ooBoooAABoCoooooCooooDDooooooooooooo", "size": 6, "moves": 4, "solution": ["Bv4", "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: ooBoooAABoCoooooCooooDDooooooooooooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv4,C<1,Bv1,A>4\n"]}} {"board": "oBBBoooooooCAAoooCoooooCoDDEEEoooooo", "size": 6, "moves": 4, "solution": ["D<1", "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: oBBBoooooooCAAoooCoooooCoDDEEEoooooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,E<1,Cv2,A>4\n"]}} {"board": "oAAoBoooooBoooooBooooCCCooooooDDDooo", "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: oAAoBoooooBoooooBooooCCCooooooDDDooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,Bv1,A>3\n"]}} {"board": "AABoooCoBDDDCEEEooooFoGGHoFoooHoFIII", "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: AABoooCoBDDDCEEEooooFoGGHoFoooHoFIII\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE>2,Bv1,A>4\n"]}} {"board": "oAAoBoooooBoooooCooDDDCooooooooooEEE", "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: oAAoBoooooBoooooCooDDDCooooooooooEEE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Bv1,A>3\n"]}} {"board": "oooooooooBBBooCCCoooAAoDoooooDEEoooD", "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: oooooooooBBBooCCCoooAAoDoooooDEEoooD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,D^3,A>2\n"]}} {"board": "oAABoooCCBDDooEEEoFGooHHFGIIIJFGoooJ", "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: oAABoooCCBDDooEEEoFGooHHFGIIIJFGoooJ\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<2,Bv1,A>3\n"]}} {"board": "ooBBBoAACooDooCooDooEoooooEFoooooFoo", "size": 6, "moves": 4, "solution": ["Dv1", "Ev1", "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: ooBBBoAACooDooCooDooEoooooEFoooooFoo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,Ev1,Cv1,A>4\n"]}} {"board": "oooAABoooooBoCCDDDoooooEoFFFGEoHHoGo", "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: oooAABoooooBoCCDDDoooooEoFFFGEoHHoGo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,D<1,Bv1,A>1\n"]}} {"board": "AAoBoCDDEBoCoFEoooGFoHHIGFJKKIooJooI", "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: AAoBoCDDEBoCoFEoooGFoHHIGFJKKIooJooI\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>4\n"]}} {"board": "oooooooooooooooBBBooooCoAAooCDooooCD", "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: oooooooooooooooBBBooooCoAAooCDooooCD\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,C^2,D^2,A>4\n"]}} {"board": "BCooooBCDDDooCooooAAEoooooEoFoooEoFo", "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: BCooooBCDDDooCooooAAEoooooEoFoooEoFo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD>1,E^3,A>4\n"]}} {"board": "AABooooCBooDoCBooDoEFFFooEGGGooEooHH", "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: AABooooCBooDoCBooDoEFFFooEGGGooEooHH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF>1,Bv1,A>4\n"]}} {"board": "ooooooooooooBooCCCBooAADBooooDoooooD", "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: ooooooooooooBooCCCBooAADBooooDoooooD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,D^3,A>1\n"]}} {"board": "AAooBoooooBoCCCoBoDDooEEoFFFoooooooo", "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: AAooBoooooBoCCCoBoDDooEEoFFFoooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<2,Bv1,A>4\n"]}} {"board": "ooBCCCooBooDoooAADooEEoDooooFFoooooo", "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: ooBCCCooBooDoooAADooEEoDooooFFoooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Dv2,A>1\n"]}} {"board": "ooooBoooAABooooCCCDDDEoooooEoooooEoo", "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: ooooBoooAABooooCCCDDDEoooooEoooooEoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,Bv2,A>2\n"]}} {"board": "oooBBBoooooooooooooAAooCDDoooCoooooC", "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: oooBBBoooooooooooooAAooCDDoooCoooooC\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,C^3,A>3\n"]}} {"board": "oBoCCCoBoooooooDDDoEAAoFoEooGFooHHGF", "size": 6, "moves": 4, "solution": ["C<1", "D<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: oBoCCCoBoooooooDDDoEAAoFoEooGFooHHGF\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,D<1,F^3,A>2\n"]}} {"board": "ooooBoAAooBoooooooCoooDDCEEooFoooooF", "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: ooooBoAAooBoooooooCoooDDCEEooFoooooF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<2,Bv2,A>4\n"]}} {"board": "ooooooooooooooBBBooooCooAAoCoooooCoo", "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: ooooooooooooooBBBooooCooAAoCoooooCoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,C^2,A>4\n"]}} {"board": "ooBBBooCoDDDoCAAEoFCooEoFooGGHFooooH", "size": 6, "moves": 3, "solution": ["G<1", "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: ooBBBooCoDDDoCAAEoFCooEoFooGGHFooooH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,Ev1,A>2\n"]}} {"board": "oooBBBooooCoooAACDooooCDoooooDooooEE", "size": 6, "moves": 4, "solution": ["E<2", "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: oooBBBooooCoooAACDooooCDoooooDooooEE\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<2,Cv2,Cv1,A>2\n"]}} {"board": "ooooooAABCooooBCooooBCoooDDooooooooo", "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: ooooooAABCooooBCooooBCoooDDooooooooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,D<1,Bv1,A>4\n"]}} {"board": "BoooooBooooCoDoooCoDoooEoooooEoooAAE", "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: BoooooBooooCoDoooCoDoooEoooooEoooAAE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,E^1,A>1\n"]}} {"board": "oooooBoAAooBooooCCDDDEFoGooEFoGooEoo", "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: oooooBoAAooBooooCCDDDEFoGooEFoGooEoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,Bv2,A>3\n"]}} {"board": "BBBoooCooDooCooDooCooDoEooooFEAAooFE", "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: BBBoooCooDooCooDooCooDoEooooFEAAooFE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,F^1,A>4\n"]}} {"board": "oBBBoCAAoDoCEEoDFCGGHoFoooHIIoJJHKKK", "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: oBBBoCAAoDoCEEoDFCGGHoFoooHIIoJJHKKK\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,Cv1,A>4\n"]}} {"board": "oooBBBoooooCAAoooCoooooCDDoEEEoooooo", "size": 6, "moves": 3, "solution": ["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: oooBBBoooooCAAoooCoooooCDDoEEEoooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Cv2,A>4\n"]}} {"board": "ooooooooooBooooCBooooCBooooCDooAAoDo", "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: ooooooooooBooooCBooooCBooooCDooAAoDo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,D^1,A>3\n"]}} {"board": "oBAACDEBFFCDEooooDEoGGooHHHooooooooo", "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: oBAACDEBFFCDEooooDEoGGooHHHooooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Cv1,A>2\n"]}} {"board": "oooBoooAABoooCCCoooooDDooooEEooooooo", "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: oooBoooAABoooCCCoooooDDooooEEooooooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,D<2,Bv2,A>3\n"]}} {"board": "BoCoooBoCoooBoCooooooDDDooAAEooFFoEo", "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: BoCoooBoCoooBoCooooooDDDooAAEooFFoEo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<2,E^2,A>2\n"]}} {"board": "AAoBoooooBooooCCDDooEFFFooEooooooGGo", "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: AAoBoooooBooooCCDDooEFFFooEooooooGGo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,Bv1,A>4\n"]}} {"board": "oAAooBooCCCBoooDDDoooEEEooFFoGoooooG", "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: oAAooBooCCCBoooDDDoooEEEooFFoGoooooG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv1,A>3\n"]}} {"board": "oAAoBCDDooBCoooEEoFFFGoHIJJGKHIooGKH", "size": 6, "moves": 4, "solution": ["Cv1", "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: oAAoBCDDooBCoooEEoFFFGoHIJJGKHIooGKH\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,E<1,Bv1,A>3\n"]}} {"board": "oooBoooooBoCoooBDCAAooDCoooEEEoooooo", "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: oooBoooooBoCoooBDCAAooDCoooEEEoooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^1,A>4\n"]}} {"board": "oooAABCCoooBooDDDEoooooEooFFoEoGGooo", "size": 6, "moves": 3, "solution": ["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: oooAABCCoooBooDDDEoooooEooFFoEoGGooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,Bv1,A>1\n"]}} {"board": "BCAAoDBCEEEDBooFFFGoHIIIGoHoJJooHKKK", "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: BCAAoDBCEEEDBooFFFGoHIIIGoHoJJooHKKK\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Dv1,A>2\n"]}} {"board": "ooooooAAoBoooooBoooooBCooDEECooDooCo", "size": 6, "moves": 4, "solution": ["D^2", "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: ooooooAAoBoooooBoooooBCooDEECooDooCo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,E<1,Bv1,A>4\n"]}} {"board": "ooAABCoDDDBCEEoFFCooooooGGGooooooooo", "size": 6, "moves": 4, "solution": ["Cv1", "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: ooAABCoDDDBCEEoFFCooooooGGGooooooooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,F<1,Bv1,A>2\n"]}} {"board": "oooooooBoooooBooCDoBEFCDooEFGoAAEoGo", "size": 6, "moves": 4, "solution": ["C^1", "E^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: oooooooBoooooBooCDoBEFCDooEFGoAAEoGo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,E^1,G^1,A>4\n"]}} {"board": "ooBoCoooBoCDAABoEDFGooEoFGoooHFGoooH", "size": 6, "moves": 4, "solution": ["Bv3", "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: ooBoCoooBoCDAABoEDFGooEoFGoooHFGoooH\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv3,C^1,Dv1,A>4\n"]}} {"board": "oooBBBAAooCDEEooCDFGHICDFGHIooFGHoJJ", "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: oooBBBAAooCDEEooCDFGHICDFGHIooFGHoJJ\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Cv1,A>4\n"]}} {"board": "BoooCoBoAACoBDDoooEooFFFEGHIooEGHIoo", "size": 6, "moves": 3, "solution": ["F<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: BoooCoBoAACoBDDoooEooFFFEGHIooEGHIoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<2,Cv2,A>2\n"]}} {"board": "oooBoooooBoooAABooooooooCoDDooCoooEE", "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: oooBoooooBoooAABooooooooCoDDooCoooEE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv3,A>3\n"]}} {"board": "BBBoooooooooCCCooDoAAoEDooFFEDooooEo", "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: BBBoooooooooCCCooDoAAoEDooFFEDooooEo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,E^3,A>3\n"]}} {"board": "oAABCoDoEBCFDoEooFoGEHHHoGIIJooKKKJo", "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: oAABCoDoEBCFDoEooFoGEHHHoGIIJooKKKJo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>3\n"]}} {"board": "oBooooCBooooCoooooCooDoEAAoDoEoooooo", "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: oBooooCBooooCoooooCooDoEAAoDoEoooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E^1,A>4\n"]}} {"board": "ooBoooooBoCDAABoCDEoooCDEooooooooooo", "size": 6, "moves": 4, "solution": ["Bv3", "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: ooBoooooBoCDAABoCDEoooCDEooooooooooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv3,Bv2,Bv2,A>4\n"]}} {"board": "BooCCCBoAAoDEFFFoDEGoHHHEGIIIoJJJoKK", "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: BooCCCBoAAoDEFFFoDEGoHHHEGIIIoJJJoKK\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nH<1,Dv1,A>2\n"]}} {"board": "oBBBoooooooooooCCCooooDoooooDoAAooDo", "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: oBBBoooooooooooCCCooooDoooooDoAAooDo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,D^1,A>4\n"]}} {"board": "ooBCCCDEBFooDEoFGHoEoFGHoooooIooAAoI", "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: ooBCCCDEBFooDEoFGHoEoFGHoooooIooAAoI\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nH^1,I^1,A>2\n"]}} {"board": "oooBoooooBoooAABCooDDoCoEEEoCooFFFoo", "size": 6, "moves": 4, "solution": ["Cv1", "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: oooBoooooBoooAABCooDDoCoEEEoCooFFFoo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,F<1,Bv3,A>3\n"]}} {"board": "ooooooooooooBooooCBoooDCAAEoDCooEoDo", "size": 6, "moves": 4, "solution": ["C^1", "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: ooooooooooooBooooCBoooDCAAEoDCooEoDo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^2,E^2,A>4\n"]}} {"board": "AABoooCCBDDDoEEooooFFFGoooooGHIIIJJH", "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: AABoooCCBDDDoEEooooFFFGoooooGHIIIJJH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv1,A>4\n"]}} {"board": "ooooBooAAoBoCooDDDCoEEFoooGoFHIIGooH", "size": 6, "moves": 4, "solution": ["D<2", "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: ooooBooAAoBoCooDDDCoEEFoooGoFHIIGooH\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<2,Fv1,Bv2,A>3\n"]}} {"board": "AABoCoooBoCooooooDoooEFDoooEFooooEoo", "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: AABoCoooBoCooooooDoooEFDoooEFooooEoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>4\n"]}} {"board": "oAAoBoCooDBoCooDBoCooEEooooFGGHHHFoo", "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: oAAoBoCooDBoCooDBoCooEEooooFGGHHHFoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv1,A>3\n"]}} {"board": "oooBBBoooCCCoooooooooooDoAAooDoooEED", "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: oooBBBoooCCCoooooooooooDoAAooDoooEED\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,D^2,A>3\n"]}} {"board": "ooBBBooooooooooooCoAAoDCooooDoooooDo", "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: ooBBBooooooooooooCoAAoDCooooDoooooDo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,C^1,D^3,A>3\n"]}} {"board": "BBBoCoDoAACoDoooCoDooEEEoooooooooFFF", "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: BBBoCoDoAACoDoooCoDooEEEoooooooooFFF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<2,Cv2,A>2\n"]}} {"board": "oooooooBBBoooooooCooAADCooooDCooooDo", "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: oooooooBBBoooooooCooAADCooooDCooooDo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,D^3,A>2\n"]}} {"board": "ooooBoooooBCoAAoBCoooDDEFFoooEGGoooE", "size": 6, "moves": 4, "solution": ["C^1", "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: ooooBoooooBCoAAoBCoooDDEFFoooEGGoooE\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D<1,Bv3,A>3\n"]}} {"board": "ooAABoooooBoCCoDDooooooEFGGooEFoHHoE", "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: ooAABoooooBoCCoDDooooooEFGGooEFoHHoE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv1,A>2\n"]}} {"board": "oBBBoooCCCoooooooooooDooAAoDoEoooDoE", "size": 6, "moves": 4, "solution": ["C<1", "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: oBBBoooCCCoooooooooooDooAAoDoEoooDoE\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,D^2,E^2,A>4\n"]}} {"board": "AAoooBCCDDoBoEEFFFooooGHIIIoGHooooGH", "size": 6, "moves": 4, "solution": ["E<1", "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: AAoooBCCDDoBoEEFFFooooGHIIIoGHooooGH\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,F<1,Bv1,A>4\n"]}} {"board": "oAABoCoooBoCoDDDoooEFFFooEoooooEoGGG", "size": 6, "moves": 4, "solution": ["Cv1", "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: oAABoCoooBoCoDDDoooEFFFooEoooooEoGGG\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,D<1,Bv1,A>3\n"]}} {"board": "oooooooooBBBooAACoooDDCoooooCoooooEE", "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: oooooooooBBBooAACoooDDCoooooCoooooEE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<2,Cv1,A>2\n"]}} {"board": "oooAABoooooBoooooBooooCCooooDDoooEEo", "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: oooAABoooooBoooooBooooCCooooDDoooEEo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,Bv1,A>1\n"]}} {"board": "ooooBooAAoBCoooooCDDooEoooooEooooooo", "size": 6, "moves": 4, "solution": ["Cv1", "Ev1", "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: ooooBooAAoBCoooooCDDooEoooooEooooooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Ev1,Bv2,A>3\n"]}} {"board": "ooooooBooCCCBoooooooooDoAAooDooEEEDo", "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: ooooooBooCCCBoooooooooDoAAooDooEEEDo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,D^2,A>4\n"]}} {"board": "BBBCoooooCoDoooCoDoAAoEDFFFoEooooGGG", "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: BBBCoooooCoDoooCoDoAAoEDFFFoEooooGGG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E^2,A>3\n"]}} {"board": "oooBBBooooooooCCCoAADooooEDFFFoEDooo", "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: oooBBBooooooooCCCoAADooooEDFFFoEDooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC>1,D^3,A>4\n"]}} {"board": "ooBoooooBoooAABooooooooooCCooooooooo", "size": 6, "moves": 3, "solution": ["C<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: ooBoooooBoooAABooooooooooCCooooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,Bv3,A>4\n"]}} {"board": "BBBoCooDAACoEDoFFFEDGGooEoHHIIoooJJJ", "size": 6, "moves": 4, "solution": ["Dv2", "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: BBBoCooDAACoEDoFFFEDGGooEoHHIIoooJJJ\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv2,E<2,Cv2,A>2\n"]}} {"board": "oAAooBoCCCoBoooDDDEEFGooooFGHHooFGoo", "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: oAAooBoCCCoBoooDDDEEFGooooFGHHooFGoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv1,A>3\n"]}} {"board": "BCDDDoBCEFFFAAEGoooooGHooIIGHoooooHo", "size": 6, "moves": 4, "solution": ["D>1", "E^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: BCDDDoBCEFFFAAEGoooooGHooIIGHoooooHo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nD>1,E^1,Gv1,A>4\n"]}} {"board": "BCoAADBCEooDBoEFFFGoHHHoGIJJKKGIoLLL", "size": 6, "moves": 4, "solution": ["E^1", "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: BCoAADBCEooDBoEFFFGoHHHoGIJJKKGIoLLL\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,F<1,Ev1,A>1\n"]}} {"board": "oBoCCCoBoAADoooooDoooooDoooEEEoooooo", "size": 6, "moves": 3, "solution": ["E<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: oBoCCCoBoAADoooooDoooooDoooEEEoooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Dv1,A>1\n"]}} {"board": "oooooooooBoooooBooAAoBCoDDDoCoooooCo", "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: oooooooooBoooooBooAAoBCoDDDoCoooooCo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,C^3,A>4\n"]}} {"board": "oooooBoooooBoAACoBoooCooDDDEoooooEoo", "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: oooooBoooooBoAACoBoooCooDDDEoooooEoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv3,B^2,A>3\n"]}} {"board": "oooooooooBBBooooooooooooAACoDoooCoDo", "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: oooooooooBBBooooooooooooAACoDoooCoDo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,D^2,A>4\n"]}} {"board": "ooooBoooooBCDoooBCDooooEoFFFoEoAAooE", "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: ooooBoooooBCDoooBCDooooEoFFFoEoAAooE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,E^1,A>3\n"]}} {"board": "oooooBoooAABoooCCCooDDoooooooEoooooE", "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: oooooBoooAABoooCCCooDDoooooooEoooooE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,Bv2,A>1\n"]}} {"board": "BAAooCBDDDoCoooEEEFFGHIoJJGHIKooGHIK", "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: BAAooCBDDDoCoooEEEFFGHIoJJGHIKooGHIK\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Cv1,A>3\n"]}} {"board": "ooBCooAABCooooBCDDoooooooooooEoooFFE", "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: ooBCooAABCooooBCDDoooooooooooEoooFFE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,Bv2,A>4\n"]}} {"board": "ooooooooooooooooBooooCBDoAACoDoooooD", "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: ooooooooooooooooBooooCBDoAACoDoooooD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^2,A>3\n"]}} {"board": "oooBBBooooooooooooAAooCoooooCDEEooCD", "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: oooBBBooooooooooooAAooCoooooCDEEooCD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,C^3,A>4\n"]}} {"board": "BooCCCBooooDBoAAoDoooooDoooooooooEEE", "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: BooCCCBooooDBoAAoDoooooDoooooooooEEE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Dv2,A>2\n"]}} {"board": "ooooooooooBCoAAoBCDoEEoCDoooFFoooooo", "size": 6, "moves": 4, "solution": ["B^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: ooooooooooBCoAAoBCDoEEoCDoooFFoooooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,F<1,Cv2,A>3\n"]}} {"board": "oooooooooBBBCCCooDEoFooDEoFAAGooFooG", "size": 6, "moves": 4, "solution": ["B<1", "D^2", "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: oooooooooBBBCCCooDEoFooDEoFAAGooFooG\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,D^2,G^2,A>1\n"]}} {"board": "oooBoooAABoooooooooooCCCoDoooEoDoooE", "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: oooBoooAABoooooooooooCCCoDoooEoDoooE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<3,Bv2,A>3\n"]}} {"board": "ooooBCooooBCoooDBoAAEDooFoEGGGFoHHHo", "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: ooooBCooooBCoooDBoAAEDooFoEGGGFoHHHo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E^2,A>4\n"]}} {"board": "oAABooooCBooDDCEoFGGHEIFoJHEIooJHoIo", "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: oAABooooCBooDDCEoFGGHEIFoJHEIooJHoIo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,Bv1,A>3\n"]}} {"board": "AAoooBoCCCoBDDoooBooEoFFooEoGHIIooGH", "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: AAoooBoCCCoBDDoooBooEoFFooEoGHIIooGH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Bv1,A>4\n"]}} {"board": "ooBoooooBCCCoooooooooooDoooAADoooEED", "size": 6, "moves": 4, "solution": ["Bv2", "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: ooBoooooBCCCoooooooooooDoooAADoooEED\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,B<1,D^2,A>1\n"]}} {"board": "oBoooooBoooCooDEFCooDEFCooDGFoAAoGoo", "size": 6, "moves": 3, "solution": ["E^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: oBoooooBoooCooDEFCooDEFCooDGFoAAoGoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,G^1,A>4\n"]}} {"board": "oooooooooooBoAAooBoCCCoBoooDDDoooooo", "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: oooooooooooBoAAooBoCCCoBoooDDDoooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv2,A>3\n"]}} {"board": "oooBBBCoooooCoooooooAAoDoooooDoooooD", "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: oooBBBCoooooCoooooooAAoDoooooDoooooD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,D^3,A>2\n"]}} {"board": "oooBBBooAAoCoooooCoDoooCEDoFFFEDoGGG", "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: oooBBBooAAoCoooooCoDoooCEDoFFFEDoGGG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Cv1,A>2\n"]}} {"board": "oooBBBAAoCooDDDCoooooCoEoFFFoEoGGooE", "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: oooBBBAAoCooDDDCoooooCoEoFFFoEoGGooE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Cv1,A>4\n"]}} {"board": "oAAooBCoooDBCoooDBCEEEoFGGoooFHHooII", "size": 6, "moves": 4, "solution": ["I<1", "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: oAAooBCoooDBCoooDBCEEEoFGGoooFHHooII\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nI<1,Fv1,Bv1,A>3\n"]}} {"board": "ooooooooooBoooooBoAAooBCoooooCooDDoo", "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: ooooooooooBoooooBoAAooBCoooooCooDDoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,C^2,A>4\n"]}} {"board": "oooAABoooooBCDEEEBCDoFFFCoGoooooGooo", "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: oooAABoooooBCDEEEBCDoFFFCoGoooooGooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Bv1,A>1\n"]}} {"board": "ooBBBooCoDEooCoDEooAADEoFooGHHFooGII", "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: ooBBBooCoDEooCoDEooAADEoFooGHHFooGII\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,D^1,E^1,A>3\n"]}} {"board": "oooooBoCCCoBoooooBAAoDoooooDEooooDEo", "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: oooooBoCCCoBoooooBAAoDoooooDEooooDEo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,D^3,A>4\n"]}} {"board": "oooooBoooooBooAAoBooCoooooCoDDoooooo", "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: oooooBoooooBooAAoBooCoooooCoDDoooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv3,A>2\n"]}} {"board": "oooBoooAABooooCBooDoCoooDEEFFoDooGGG", "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: oooBoooAABooooCBooDoCoooDEEFFoDooGGG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF>1,Bv2,A>3\n"]}} {"board": "BCAAoDBCEFFDBCEoGGooEHoIJJoHKIooooKI", "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: BCAAoDBCEFFDBCEoGGooEHoIJJoHKIooooKI\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,Dv1,A>2\n"]}} {"board": "ooooooooAABoooooBooCCoBoooooDDoEEEoo", "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: ooooooooAABoooooBooCCoBoooooDDoEEEoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<2,Bv1,A>2\n"]}} {"board": "ooooooAAoooBCCCooBoooooBoooDDDoooooo", "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: ooooooAAoooBCCCooBoooooBoooDDDoooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv1,A>4\n"]}} {"board": "oooBBBoooooCoooooCAAoooCoooooDoooooD", "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: oooBBBoooooCoooooCAAoooCoooooDoooooD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,C^1,A>4\n"]}} {"board": "BBBooooooCCCDoooooDEoAAFDEoooFoEoooF", "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: BBBooooooCCCDoooooDEoAAFDEoooFoEoooF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,F^3,A>1\n"]}} {"board": "oooooooooBBBAACoDoEoCoDFEoCooFoGGHHH", "size": 6, "moves": 4, "solution": ["Dv1", "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: oooooooooBBBAACoDoEoCoDFEoCooFoGGHHH\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,G<1,Cv1,A>4\n"]}} {"board": "ooBBBoooooooooCoooAACoooooCooooooDDD", "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: ooBBBoooooooooCoooAACoooooCooooooDDD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB>1,C^2,A>4\n"]}} {"board": "ooooooBBBooooAACoDEooCoDEooCooFFoooo", "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: ooooooBBBooooAACoDEooCoDEooCooFFoooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,C^2,A>3\n"]}} {"board": "oBBBooCoooDoCEEEDoCAAoDFoooGoFHHoGoF", "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: oBBBooCoooDoCEEEDoCAAoDFoooGoFHHoGoF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,F^3,A>3\n"]}} {"board": "oBBBooooCDDDooCoooooCAAEoooFFEoGGooE", "size": 6, "moves": 4, "solution": ["Cv1", "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: oBBBooooCDDDooCoooooCAAEoooFFEoGGooE\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,C<1,E^3,A>1\n"]}} {"board": "oBooCooBooCDAAEooDooEFFDGGEoooooooHH", "size": 6, "moves": 4, "solution": ["Ev1", "H<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: oBooCooBooCDAAEooDooEFFDGGEoooooooHH\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,H<1,Dv2,A>4\n"]}} {"board": "oooooooooBBBoooCoooAACDoooooDoooooDo", "size": 6, "moves": 4, "solution": ["B<2", "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: oooooooooBBBoooCoooAACDoooooDoooooDo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,Cv2,C^3,A>3\n"]}} {"board": "BBBooCoDoEFCoDoEFoGAAEFoGHIIoooHoJJJ", "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: BBBooCoDoEFCoDoEFoGAAEFoGHIIoooHoJJJ\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,F^1,A>3\n"]}} {"board": "oooooooooAABoooooBoooCCCooooDDooEEoo", "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: oooooooooAABoooooBoooCCCooooDDooEEoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,Bv1,A>1\n"]}} {"board": "BBBoCooAAoCDooEECDooFFoooGGooooooHHH", "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: BBBoCooAAoCDooEECDooFFoooGGooooooHHH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,Cv1,A>3\n"]}} {"board": "oooooBoooooBoAAooBooooCCoooooooDDDoo", "size": 6, "moves": 3, "solution": ["C<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: oooooBoooooBoAAooBooooCCoooooooDDDoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,Bv3,A>3\n"]}} {"board": "BCoDDDBCoooooCoooEooFAAEooFGoEooFGoo", "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: BCoDDDBCoooooCoooEooFAAEooFGoEooFGoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,E^2,A>1\n"]}} {"board": "ooooooBBBCCCDooEEEDFGooHoFGAAHoFGIIo", "size": 6, "moves": 3, "solution": ["E<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: ooooooBBBCCCDooEEEDFGooHoFGAAHoFGIIo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,H^1,A>1\n"]}} {"board": "oooooBAACooBooCooBoooDDDoooEEooooFFF", "size": 6, "moves": 4, "solution": ["Cv3", "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: oooooBAACooBooCooBoooDDDoooEEooooFFF\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv3,C<1,Bv2,A>4\n"]}} {"board": "oooBBBoooooooooooooooCDEAAoCDEoooCDo", "size": 6, "moves": 4, "solution": ["C^2", "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: oooBBBoooooooooooooooCDEAAoCDEoooCDo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,D^2,E^1,A>4\n"]}} {"board": "oBCooooBCoooooCDDDEAAoFoEoooFoEoooGG", "size": 6, "moves": 3, "solution": ["G<2", "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: oBCooooBCoooooCDDDEAAoFoEoooFoEoooGG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<2,Fv1,A>3\n"]}} {"board": "oAAoBoooooBoooooCoooooCoooooooooDDoo", "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: oAAoBoooooBoooooCoooooCoooooooooDDoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Bv1,A>3\n"]}} {"board": "BCoooDBCooEDBAAoEoFoooEoFooGGGoooooo", "size": 6, "moves": 3, "solution": ["G<2", "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: BCoooDBCooEDBAAoEoFoooEoFooGGGoooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<2,Ev2,A>3\n"]}} {"board": "BBBCoDAAoCoDoooCEEooooFoGoooFoGoooFo", "size": 6, "moves": 4, "solution": ["Cv3", "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: BBBCoDAAoCoDoooCEEooooFoGoooFoGoooFo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv3,D<1,Cv2,A>4\n"]}} {"board": "BAAoCoBoDDCoBEFoGGHEFIIoHEFoJKooooJK", "size": 6, "moves": 4, "solution": ["Fv1", "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: BAAoCoBoDDCoBEFoGGHEFIIoHEFoJKooooJK\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nFv1,F<2,Cv1,A>3\n"]}} {"board": "BAAooCBooooCoDDoEEoFoooooFoGGooFoooo", "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: BAAooCBooooCoDDoEEoFoooooFoGGooFoooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Cv1,A>3\n"]}} {"board": "oooooooooooooooBBBooAACoooooCooDDoCo", "size": 6, "moves": 3, "solution": ["B<2", "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: oooooooooooooooBBBooAACoooooCooDDoCo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,C^3,A>2\n"]}} {"board": "AAoooBooCDDBooCooEFFoGGEoHIIIEoHoooo", "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: AAoooBooCDDBooCooEFFoGGEoHIIIEoHoooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,Bv1,A>4\n"]}} {"board": "ooooBoCooDBoCEoDoFoEoDGFooooGHAAoooH", "size": 6, "moves": 3, "solution": ["F^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: ooooBoCooDBoCEoDoFoEoDGFooooGHAAoooH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,H^1,A>4\n"]}} {"board": "oooBBBCooDDDCooEEEooFooGooFAAGooFooo", "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: oooBBBCooDDDCooEEEooFooGooFAAGooFooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,G^1,A>1\n"]}} {"board": "AABoooCCBDEEFFGDooHHGDoooIIJJJoooooo", "size": 6, "moves": 4, "solution": ["I<1", "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: AABoooCCBDEEFFGDooHHGDoooIIJJJoooooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nI<1,Gv1,Bv1,A>4\n"]}} {"board": "oooBBBooooCoooooCoooAACDoooooDEEoooD", "size": 6, "moves": 4, "solution": ["B<2", "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: oooBBBooooCoooooCoooAACDoooooDEEoooD\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,C^1,D^3,A>2\n"]}} {"board": "BBBooCooAAoCooDDDCEFGGGoEFoHHHEFoIII", "size": 6, "moves": 3, "solution": ["H<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: BBBooCooAAoCooDDDCEFGGGoEFoHHHEFoIII\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nH<1,Cv2,A>2\n"]}} {"board": "oooooooooBBBooooCoooooCooAAoCooDDooo", "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: oooooooooBBBooooCoooooCooAAoCooDDooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,C^1,A>3\n"]}} {"board": "oAAooBooCCCBoooooBoooDDDoEEooooFFooo", "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: oAAooBooCCCBoooooBoooDDDoEEooooFFooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv1,A>3\n"]}} {"board": "oAAooBoooooBoooooCoooooCoDDoooEEEooo", "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: oAAooBoooooBoooooCoooooCoDDoooEEEooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Bv1,A>3\n"]}} {"board": "oooooooooooooooBoooooBCoAADBCoooDoCo", "size": 6, "moves": 4, "solution": ["B^1", "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: oooooooooooooooBoooooBCoAADBCoooDoCo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,C^2,D^2,A>4\n"]}} {"board": "oAAooBCCoooBDooooEDooooEDFFoGooHHHGo", "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: oAAooBCCoooBDooooEDooooEDFFoGooHHHGo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,Bv1,A>3\n"]}} {"board": "ooooooBAAooCBooooCBDDDoCEFoGGGEFooHH", "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: ooooooBAAooCBooooCBDDDoCEFoGGGEFooHH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,Cv1,A>3\n"]}} {"board": "oooooooooBBBoAAooCoooooCDoEoFFDoEoGG", "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: oooooooooBBBoAAooCoooooCDoEoFFDoEoGG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,C^2,A>3\n"]}} {"board": "oooBBBooooooooooooooooCoooAACDoooooD", "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: oooBBBooooooooooooooooCoooAACDoooooD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^2,A>2\n"]}} {"board": "ooooooAAooBooCCoBooooDDDoEoooooEoooo", "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: ooooooAAooBooCCoBooooDDDoEoooooEoooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<2,Bv1,A>4\n"]}} {"board": "oBCCCDoBAAoDoEEEFFGHooIoGHooIJoHKKIJ", "size": 6, "moves": 4, "solution": ["E<1", "F<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: oBCCCDoBAAoDoEEEFFGHooIoGHooIJoHKKIJ\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,F<1,Dv2,A>2\n"]}} {"board": "oBoooooBooooAACoooDoCoooDoCoooDoEEoo", "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: oBoooooBooooAACoooDoCoooDoCoooDoEEoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE>1,Cv1,A>4\n"]}} {"board": "oooBooAAoBoCoooBDCooooDCEEEoDoFFooGG", "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: oooBooAAoBoCoooBDCooooDCEEEoDoFFooGG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,Bv1,A>4\n"]}} {"board": "oBoCoooBoCoooooDoooAADoEoooooEoooooE", "size": 6, "moves": 3, "solution": ["Dv2", "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: oBoCoooBoCoooooDoooAADoEoooooEoooooE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv2,D^3,A>3\n"]}} {"board": "ooooooBCoDooBCoDooBooDEFooAAEFooooEF", "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: ooooooBCoDooBCoDooBooDEFooAAEFooooEF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^2,F^2,A>2\n"]}} {"board": "oooooooBooCooBooCDAAooCDoooooDoooooo", "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: oooooooBooCooBooCDAAooCDoooooDoooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^2,A>4\n"]}} {"board": "oBBBoCooAAoCDDDooCoEoFFFoEGoHHoEGooo", "size": 6, "moves": 4, "solution": ["F<1", "H<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: oBBBoCooAAoCDDDooCoEoFFFoEGoHHoEGooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,H<1,Cv2,A>2\n"]}} {"board": "oooBoooAABoooooBoooooCCCoooooooDDDoo", "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: oooBoooAABoooooBoooooCCCoooooooDDDoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<3,Bv2,A>3\n"]}} {"board": "oooooBoAAoCBDDooCoooooCoooooEEoooooo", "size": 6, "moves": 4, "solution": ["Bv2", "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: oooooBoAAoCBDDooCoooooCoooooEEoooooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,E<2,Bv1,A>3\n"]}} {"board": "ooAAoBoCCooBDoEEoBDoooFFGGGoooHHHoII", "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: ooAAoBoCCooBDoEEoBDoooFFGGGoooHHHoII\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Bv1,A>2\n"]}} {"board": "oooBBBCCCoDEooAADEFGGoDEFooooooooHHH", "size": 6, "moves": 4, "solution": ["H<2", "Dv2", "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: oooBBBCCCoDEooAADEFGGoDEFooooooooHHH\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nH<2,Dv2,Dv2,A>2\n"]}} {"board": "AABoooooBoooCCCoooooDEoFooDEoFooDEoF", "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: AABoooooBoooCCCoooooDEoFooDEoFooDEoF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC>3,Bv1,A>4\n"]}} {"board": "oBCAADoBCooDoECooDoEoFFFoooGoooooGoo", "size": 6, "moves": 3, "solution": ["F<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: oBCAADoBCooDoECooDoEoFFFoooGoooooGoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Dv1,A>1\n"]}} {"board": "ooooooBCDDDoBCoEEEFCoGGGFHoooIFHAAoI", "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: ooooooBCDDDoBCoEEEFCoGGGFHoooIFHAAoI\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,I^1,A>2\n"]}} {"board": "oooooooooAABoooooBoCCooBoDDEEEoooooo", "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: oooooooooAABoooooBoCCooBoDDEEEoooooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,E<1,Bv1,A>1\n"]}} {"board": "oBCCCooBoAADooEEFDoGGGFHoIJKFHoIJKoo", "size": 6, "moves": 3, "solution": ["Hv1", "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: oBCCCooBoAADooEEFDoGGGFHoIJKFHoIJKoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nHv1,Dv1,A>1\n"]}} {"board": "AAooBoooooBoooooCCooooooooDDoooooooo", "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: AAooBoooooBoooooCCooooooooDDoooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,Bv1,A>4\n"]}} {"board": "oooooooooooooAAooBoCoooBoCoooBoCooDD", "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: oooooooooooooAAooBoCoooBoCoooBoCooDD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv1,A>3\n"]}} {"board": "ooooooooooBoooCDBoooCDBoAAoDoEoooooE", "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: ooooooooooBoooCDBoooCDBoAAoDoEoooooE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E^2,A>4\n"]}} {"board": "oooooBoooooBAAoooBooooCCDoooooDooooo", "size": 6, "moves": 3, "solution": ["C<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: oooooBoooooBAAoooBooooCCDoooooDooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,Bv3,A>4\n"]}} {"board": "BBBoCooDDDCoAAEooFooEoGFooHHGFIIooGo", "size": 6, "moves": 4, "solution": ["Fv1", "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: BBBoCooDDDCoAAEooFooEoGFooHHGFIIooGo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nFv1,H<2,Ev1,A>4\n"]}} {"board": "ooAAoBoCDooBoCDEEBoFoGGHoFIoJHoFIoJo", "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: ooAAoBoCDooBoCDEEBoFoGGHoFIoJHoFIoJo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nHv1,Bv1,A>2\n"]}} {"board": "oooooooooooBooAAoBCCDooBooDoEEoooooo", "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: oooooooooooBooAAoBCCDooBooDoEEoooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv2,A>2\n"]}} {"board": "ooAAoBooCCCBoooooDooEEoDFoGGooFoHHoo", "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: ooAAoBooCCCBoooooDooEEoDFoGGooFoHHoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,Bv1,A>2\n"]}} {"board": "BooCCCBDDDEoBoooEoooAAEFGGGooFooHHoF", "size": 6, "moves": 4, "solution": ["C<2", "E^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: BooCCCBDDDEoBoooEoooAAEFGGGooFooHHoF\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,E^1,F^3,A>2\n"]}} {"board": "ooBoooooBoooAACoooooCooDooCEEDooFFoD", "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: ooBoooooBoooAACoooooCooDooCEEDooFFoD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<2,Cv1,A>4\n"]}} {"board": "oAABoooooBooooCCooooooDDoooooooooooo", "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: oAABoooooBooooCCooooooDDoooooooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,Bv1,A>3\n"]}} {"board": "AAooBoooooBoooooBoooooCCoooDooEEoDoo", "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: AAooBoooooBoooooBoooooCCoooDooEEoDoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,Bv1,A>4\n"]}} {"board": "oooBBBoAACoooooCoooDDCEEoFFFGGoHHIII", "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: oooBBBoAACoooooCoooDDCEEoFFFGGoHHIII\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Cv1,A>3\n"]}} {"board": "oBooCooBooCooBAACoDooEEEDooFFoDoGGoo", "size": 6, "moves": 4, "solution": ["E<2", "F<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: oBooCooBooCooBAACoDooEEEDooFFoDoGGoo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<2,F<1,Cv3,A>2\n"]}} {"board": "BCCCooBooDDDEooFFFEAAoGooooHGIoooHGI", "size": 6, "moves": 4, "solution": ["D<2", "F<2", "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: BCCCooBooDDDEooFFFEAAoGooooHGIoooHGI\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<2,F<2,G^3,A>3\n"]}} {"board": "oAAoBoooCCBooooDDDoooooooEEEoooooooo", "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: oAAoBoooCCBooooDDDoooooooEEEoooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<2,Bv1,A>3\n"]}} {"board": "ooooooooBoooooBCCCAAoDoooooDooEEEDoo", "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: ooooooooBoooooBCCCAAoDoooooDooEEEDoo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,C<3,D^3,A>4\n"]}} {"board": "ooooooAAoooBooCooBooCooBooooDDoooooo", "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: ooooooAAoooBooCooBooCooBooooDDoooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv1,A>4\n"]}} {"board": "oooBBBooooCooDooCooDAACooDEEEooooooo", "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: oooBBBooooCooDooCooDAACooDEEEooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,C^1,A>2\n"]}} {"board": "BBBoCoooAACooDDDCoEoFFFoEooooGEooooG", "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: BBBoCoooAACooDDDCoEoFFFoEooooGEooooG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Cv2,A>2\n"]}} {"board": "ooooooooooBooCAABDoCoooDoooooooooooo", "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: ooooooooooBooCAABDoCoooDoooooooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,D^2,A>2\n"]}} {"board": "oooBBBoooooooooCoDoAACoDoEEEoDFFoooo", "size": 6, "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 (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBoooooooooCoDoAACoDoEEEoDFFoooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,C^1,D^2,A>3\n"]}} {"board": "oooooBooAAoBoCDDoBoCoEEooFoGGGoFoooo", "size": 6, "moves": 3, "solution": ["G<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: oooooBooAAoBoCDDoBoCoEEooFoGGGoFoooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,Bv2,A>2\n"]}} {"board": "AAoBooCCCBooDDoBoooEEEFFGGGHIooooHIo", "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: AAoBooCCCBooDDoBoooEEEFFGGGHIooooHIo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv1,A>4\n"]}} {"board": "oooBoooooBoooAABooooCCooDoooooDEEooo", "size": 6, "moves": 3, "solution": ["C<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: oooBoooooBoooAABooooCCooDoooooDEEooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,Bv3,A>3\n"]}} {"board": "oooooBCCCooBAADoEBFGDoEoFGDoEoFGoooo", "size": 6, "moves": 4, "solution": ["Bv3", "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: oooooBCCCooBAADoEBFGDoEoFGDoEoFGoooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv3,Cv1,Cv1,A>4\n"]}} {"board": "ooooooooAAoBCCCoDBEEEoDBoFFGGGoooooo", "size": 6, "moves": 4, "solution": ["F<1", "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: ooooooooAAoBCCCoDBEEEoDBoFFGGGoooooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,G<1,Bv1,A>2\n"]}} {"board": "ooooooooBoCoooBoCoooBoCooooDEooAADEo", "size": 6, "moves": 4, "solution": ["C^1", "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: ooooooooBoCoooBoCoooBoCooooDEooAADEo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^1,E^1,A>3\n"]}} {"board": "oooBBBooCCCooAAoDoooooDoooooDoooooEE", "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: oooBBBooCCCooAAoDoooooDoooooDoooooEE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<2,Dv1,A>3\n"]}} {"board": "oooBBBCDoooECDFFFEoDAAoEoGGGHHoooooo", "size": 6, "moves": 3, "solution": ["B<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: oooBBBCDoooECDFFFEoDAAoEoGGGHHoooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,E^1,A>2\n"]}} {"board": "BBBCoooooCDoAAEoDoooEoDoooFFoooooooo", "size": 6, "moves": 4, "solution": ["Dv2", "F<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: BBBCoooooCDoAAEoDoooEoDoooFFoooooooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv2,F<2,Dv1,A>4\n"]}} {"board": "oBoCCCoBooooooooooAAoooDoooooDoooooD", "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: oBoCCCoBooooooooooAAoooDoooooDoooooD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,D^3,A>4\n"]}} {"board": "oooBoCoooBDCooEBDoAAEoDoooEFFGoooooG", "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: oooBoCoooBDCooEBDoAAEoDoooEFFGoooooG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E^2,A>4\n"]}} {"board": "BBBCoooooCoooAACoooooooooooDDDoooooo", "size": 6, "moves": 3, "solution": ["D<3", "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: BBBCoooooCoooAACoooooooooooDDDoooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<3,Cv3,A>3\n"]}} {"board": "oooooooooooooooBBBoooCoDoAACoDooEEoD", "size": 6, "moves": 4, "solution": ["B<3", "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: oooooooooooooooBBBoooCoDoAACoDooEEoD\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<3,C^1,D^2,A>3\n"]}} {"board": "ooooooooooooooooBoAAooBCDDDoBCooooEE", "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: ooooooooooooooooBoAAooBCDDDoBCooooEE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^2,C^2,A>4\n"]}} {"board": "ooAAoBoCCCoBoDDooBooooEEooooFoooGGFo", "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: ooAAoBoCCCoBoDDooBooooEEooooFoooGGFo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv1,A>2\n"]}} {"board": "oBoCCCoBooooooAAoDoooooDooooEEoooooo", "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: oBoCCCoBooooooAAoDoooooDooooEEoooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,D^2,A>2\n"]}} {"board": "ooBBBCoDEEECoDoAACFFGoHHoIGJoooIGJoo", "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: ooBBBCoDEEECoDoAACFFGoHHoIGJoooIGJoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nH<1,Cv3,A>1\n"]}} {"board": "ooooooooBoooooBoCoAABoCooooooDoooooD", "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: ooooooooBoooooBoCoAABoCooooooDoooooD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,C^1,A>4\n"]}} {"board": "oooooBCooAABCoooooooooDDoooEEEoooooo", "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: oooooBCooAABCoooooooooDDoooEEEoooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv2,A>1\n"]}} {"board": "AAooBoooooBooooCCooooooooooDDDoooooo", "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: AAooBoooooBooooCCooooooooooDDDoooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,Bv1,A>4\n"]}} {"board": "oooBoooooBCooAABCoooooDoooooDoooooDo", "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: oooBoooooBCooAABCoooooDoooooDoooooDo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv3,B^1,A>3\n"]}} {"board": "oooBBBoooooCoooooCAAoooCoDDoooEEoooo", "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: oooBBBoooooCoooooCAAoooCoDDoooEEoooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,C^1,A>4\n"]}} {"board": "oooooBooooCBAAooCBoooooooooDoooooDoo", "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: oooooBooooCBAAooCBoooooooooDoooooDoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv3,B^1,A>4\n"]}} {"board": "oooBBBooooooooCoooooCDoEoAADoEoooDoE", "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: oooBBBooooooooCoooooCDoEoAADoEoooDoE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,E^2,A>3\n"]}} {"board": "ooooooAAoooBoCCooBoDooEEoDoooooDoooo", "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: ooooooAAoooBoCCooBoDooEEoDoooooDoooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv1,A>4\n"]}} {"board": "ooBBBCooDDDCAAoooCoooooooooEEooooFFF", "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: ooBBBCooDDDCAAoooCoooooooooEEooooFFF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Cv3,A>4\n"]}} {"board": "ooooooooooBoooCoBoooCDDDAAoooEoooooE", "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: ooooooooooBoooCoBoooCDDDAAoooEoooooE\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D<1,E^2,A>4\n"]}} {"board": "ooBoCoooBoCoAAooCooDDooooooooooooEEE", "size": 6, "moves": 3, "solution": ["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: ooBoCoooBoCoAAooCooDDooooooooooooEEE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<2,Cv3,A>4\n"]}} {"board": "ooAABooCoDBooCoDBooCooEEooFFoooGGGoo", "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: ooAABooCoDBooCoDBooCooEEooFFoooGGGoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<2,Bv1,A>2\n"]}} {"board": "oooooBoooooBAAoCDEooFCDEGoFoooGoFHHH", "size": 6, "moves": 4, "solution": ["C^2", "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: oooooBoooooBAAoCDEooFCDEGoFoooGoFHHH\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,D^2,Ev1,A>4\n"]}} {"board": "BBBoooooooooooCoooAACoooooCooooooooo", "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: BBBoooooooooooCoooAACoooooCooooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB>3,C^2,A>4\n"]}} {"board": "ooooBoooAABCooDDDCoooooooEEooooooooo", "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: ooooBoooAABCooDDDCoooooooEEooooooooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,C<1,Bv2,A>2\n"]}} {"board": "BoooooBoCDoEooCDoEAACDFooGGGFoooooFo", "size": 6, "moves": 4, "solution": ["C^1", "D^1", "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: BoooooBoCDoEooCDoEAACDFooGGGFoooooFo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^1,F^3,A>4\n"]}} {"board": "ooooooooAAoBCDDDoBCEoooFCEGGGFoEooHH", "size": 6, "moves": 4, "solution": ["H<1", "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: ooooooooAAoBCDDDoBCEoooFCEGGGFoEooHH\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nH<1,Fv1,Bv1,A>2\n"]}} {"board": "ooooooBBBoCooAAoCoDoooCoDoooooDoooEE", "size": 6, "moves": 3, "solution": ["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: ooooooBBBoCooAAoCoDoooCoDoooooDoooEE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<2,Cv2,A>3\n"]}} {"board": "ooooBoooAABooooooooooCCCooDEEEooDooo", "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: ooooBoooAABooooooooooCCCooDEEEooDooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,Bv2,A>2\n"]}} {"board": "oAAoBCooooBCoooooooooooooooooooooooo", "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: oAAoBCooooBCoooooooooooooooooooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>3\n"]}} {"board": "oBBBCoooooCooAAoCDoEFFoDoEoooooEooGG", "size": 6, "moves": 4, "solution": ["D^2", "G<2", "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: oBBBCoooooCooAAoCDoEFFoDoEoooooEooGG\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,G<2,Cv3,A>3\n"]}} {"board": "BooCooBoDCooBoDoEoooAAEFGGHHEFoIIJJF", "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: BooCooBoDCooBoDoEoooAAEFGGHHEFoIIJJF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^2,F^3,A>2\n"]}} {"board": "oAABooCCCBooDDDBEEFGoHHoFGIIJoFGooJo", "size": 6, "moves": 3, "solution": ["H>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: oAABooCCCBooDDDBEEFGoHHoFGIIJoFGooJo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nH>1,Bv1,A>3\n"]}} {"board": "ooAABCDoEEBCDFFFBCDooGGGHIIoJJHKKLLL", "size": 6, "moves": 4, "solution": ["G<2", "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: ooAABCDoEEBCDFFFBCDooGGGHIIoJJHKKLLL\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<2,Bv1,Bv1,A>2\n"]}} {"board": "AAooBoooCoBoooCoBooooDDDoooooooEEFFo", "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: AAooBoooCoBoooCoBooooDDDoooooooEEFFo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<2,Bv1,A>4\n"]}} {"board": "oooooBoAAooBCCDDoBoooEEEooooooooFFoo", "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: oooooBoAAooBCCDDoBoooEEEooooooooFFoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv2,A>3\n"]}} {"board": "ooooBoAAooBoooooooooooCCooooooooDDDo", "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: ooooBoAAooBoooooooooooCCooooooooDDDo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,Bv2,A>4\n"]}} {"board": "ooAAoBCCCooBDDoooBEFooGGEFoooooFoooo", "size": 6, "moves": 3, "solution": ["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: ooAAoBCCCooBDDoooBEFooGGEFoooooFoooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,Bv1,A>2\n"]}} {"board": "BBBoCoDDDoCEAAoFoEGGGFoooooFHHIIoJJo", "size": 6, "moves": 4, "solution": ["E^1", "J>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: BBBoCoDDDoCEAAoFoEGGGFoooooFHHIIoJJo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,J>1,Fv1,A>4\n"]}} {"board": "ooBoooCoBoooCoBooDCAAEoDFFFEooGGGHHH", "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: ooBoooCoBoooCoBooDCAAEoDFFFEooGGGHHH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E^2,A>3\n"]}} {"board": "oooAABoooooBCoDDoBCEooFFoEoGGGoEoHHH", "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: oooAABoooooBCoDDoBCEooFFoEoGGGoEoHHH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Bv1,A>1\n"]}} {"board": "oooBoooooBooAAoCDEFooCDEFooCDEGGoooo", "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: oooBoooooBooAAoCDEFooCDEFooCDEGGoooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Cv1,Cv1,A>4\n"]}} {"board": "ooooBoooooBoAAooBoCCooooooDDDooooEEo", "size": 6, "moves": 4, "solution": ["D<1", "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: ooooBoooooBoAAooBoCCooooooDDDooooEEo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,E<1,Bv3,A>4\n"]}} {"board": "oooooBoAAooBoooCCCoooDDooooooooooEEE", "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: oooooBoAAooBoooCCCoooDDooooooooooEEE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,Bv2,A>3\n"]}} {"board": "oooooBoooooBooAAoBoCCCoooooDDDoooooo", "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: oooooBoooooBooAAoBoCCCoooooDDDoooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv3,A>2\n"]}} {"board": "AAoBooooCBooooCDDDEoCoooEFoGGGEFoooo", "size": 6, "moves": 4, "solution": ["Cv2", "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: AAoBooooCBooooCDDDEoCoooEFoGGGEFoooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,C<3,Bv1,A>4\n"]}} {"board": "ooAAoBoooooBoooooBCooDDDCooooooooooo", "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: ooAAoBoooooBoooooBCooDDDCooooooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv1,A>2\n"]}} {"board": "oAAoBCooooBCoDEEBoFDoooGFoHHHGFIIooG", "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: oAAoBCooooBCoDEEBoFDoooGFoHHHGFIIooG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>3\n"]}} {"board": "ooooBooCAABooCooBooooDDoooEoooooEoFF", "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: ooooBooCAABooCooBooooDDoooEoooooEoFF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv2,A>2\n"]}} {"board": "AABoooCoBoooCDDDooCoooEoFGGGEHFoIIEH", "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: AABoooCoBoooCDDDooCoooEoFGGGEHFoIIEH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD>2,Bv1,A>4\n"]}} {"board": "oooooooAABoooooBooooCCooooooooooooDD", "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: oooooooAABoooooBooooCCooooooooooooDD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,Bv1,A>3\n"]}} {"board": "oooooooooBBBoCoooooCoDoEAAoDoEoooDoE", "size": 6, "moves": 4, "solution": ["B<3", "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: oooooooooBBBoCoooooCoDoEAAoDoEoooDoE\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<3,D^2,E^2,A>4\n"]}} {"board": "BBBCCCoAADooEooDoFEGGDoFEooHHFoIIJJJ", "size": 6, "moves": 3, "solution": ["H<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: BBBCCCoAADooEooDoFEGGDoFEooHHFoIIJJJ\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nH<2,Dv1,A>3\n"]}} {"board": "ooooBCoDDDBCAAooBoEooooFEGHHoFEGoIIF", "size": 6, "moves": 3, "solution": ["I<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: ooooBCoDDDBCAAooBoEooooFEGHHoFEGoIIF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nI<1,Bv3,A>4\n"]}} {"board": "oooBBBoAAoCDoEoFCDGEoFCoGHHFooooIIIo", "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: oooBBBoAAoCDoEoFCDGEoFCoGHHFooooIIIo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Cv1,A>3\n"]}} {"board": "ooooooooooBoAAoCBoDooCBoDooooooooEEE", "size": 6, "moves": 4, "solution": ["C^2", "E<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: ooooooooooBoAAoCBoDooCBoDooooooooEEE\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,E<2,Cv2,A>4\n"]}} {"board": "oBBBoCoAAooCoooDDooooEEEooooFFoooGGo", "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: oBBBoCoAAooCoooDDooooEEEooooFFoooGGo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Cv2,A>3\n"]}} {"board": "BAAooCBDDEECFFFoGGoooHIJooKHIJLLKHIJ", "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: BAAooCBDDEECFFFoGGoooHIJooKHIJLLKHIJ\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,Cv1,A>3\n"]}} {"board": "oooBBBoooooooooCDooAACDooEoCFooEooFo", "size": 6, "moves": 4, "solution": ["B<3", "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: oooBBBoooooooooCDooAACDooEoCFooEooFo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<3,C^2,D^1,A>3\n"]}} {"board": "BoooooBooCCCoooooooooooDoooAADoEEooD", "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: BoooooBooCCCoooooooooooDoooAADoEEooD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,D^2,A>1\n"]}} {"board": "oooBBBoooCCCoDoEEEoDooooooAAFooGGGFo", "size": 6, "moves": 4, "solution": ["D^2", "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: oooBBBoooCCCoDoEEEoDooooooAAFooGGGFo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,E<2,F^2,A>2\n"]}} {"board": "oooooooooooBAAoooBoooooBCoooDDCEEEoo", "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: oooooooooooBAAoooBoooooBCoooDDCEEEoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv2,A>4\n"]}} {"board": "oooBBBooCDoEAACDoEoFGDoEoFGooooFGooo", "size": 6, "moves": 4, "solution": ["C^1", "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: oooBBBooCDoEAACDoEoFGDoEoFGooooFGooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,Dv2,Dv2,A>4\n"]}} {"board": "BoooooBooCooAAoCDooooCDooooooooooooo", "size": 6, "moves": 3, "solution": ["Cv2", "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: BoooooBooCooAAoCDooooCDooooooooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,C^2,A>4\n"]}} {"board": "oooAABoooooBCooDDDCoooEECoooFFooooGG", "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: oooAABoooooBCooDDDCoooEECoooFFooooGG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv1,A>1\n"]}} {"board": "oooooooAAooBoooooBoooooBoooCCCooDDoo", "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: oooooooAAooBoooooBoooooBoooCCCooDDoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,Bv1,A>3\n"]}} {"board": "oooooooooooBoAACoBoooCoDoEEooDFFoGGG", "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: oooooooooooBoAACoBoooCoDoEEooDFFoGGG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,C^2,A>3\n"]}} {"board": "oooooooBoCooDBoCoEDAACoEoFoooooFoGGo", "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: oooooooBoCooDBoCoEDAACoEoFoooooFoGGo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,E^1,A>3\n"]}} {"board": "BBBooooCCCoooooDoooAADoooooooooooEEo", "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: BBBooooCCCoooooDoooAADoooooooooooEEo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,D^1,A>3\n"]}} {"board": "BooooCBDoooCBDAAoCEoooFFEooooooooGGo", "size": 6, "moves": 3, "solution": ["F<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: BooooCBDoooCBDAAoCEoooFFEooooooooGGo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Cv3,A>2\n"]}} {"board": "BoooooBCooDEoCAADEooFGGGHHFIIIooFooo", "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: BoooooBCooDEoCAADEooFGGGHHFIIIooFooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E^1,A>2\n"]}} {"board": "oooooooooooooooBBBCoooDoCoooDoCAAoDo", "size": 6, "moves": 3, "solution": ["B<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: oooooooooooooooBBBCoooDoCoooDoCAAoDo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,D^1,A>3\n"]}} {"board": "oooooooBCoDooBCoDoooAADEFFFGGEooHHHo", "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: oooooooBCoDooBCoDoooAADEFFFGGEooHHHo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E^2,A>2\n"]}} {"board": "ooBBBoAACoooooCoooDDCoooooEEooFFoooo", "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: ooBBBoAACoooooCoooDDCoooooEEooFFoooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<2,Cv1,A>4\n"]}} {"board": "AAooBoooooBooCoDDooCoEEooooFoooooFoo", "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: AAooBoooooBooCoDDooCoEEooooFoooooFoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv1,A>4\n"]}} {"board": "oooooBCCCooBAAooDBoEEEDoooooDooFFFoo", "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: oooooBCCCooBAAooDBoEEEDoooooDooFFFoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv3,Cv1,A>4\n"]}} {"board": "oAAooBooCooBooCDDDooCoEEooooFoooooFo", "size": 6, "moves": 4, "solution": ["Cv2", "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: oAAooBooCooBooCDDDooCoEEooooFoooooFo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,C<1,Bv1,A>3\n"]}} {"board": "AABCooDEBCooDEoCFFGEHoIIGoHooJGKKooJ", "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: AABCooDEBCooDEoCFFGEHoIIGoHooJGKKooJ\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>4\n"]}} {"board": "oooooooooBBBooCoooooCoDoooAADoEEooDo", "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: oooooooooBBBooCoooooCoDoooAADoEEooDo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,D^2,A>2\n"]}} {"board": "oAAooBoCoooBoCoDDDoEoFFFGEHHHoGEoIII", "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: oAAooBoCoooBoCoDDDoEoFFFGEHHHoGEoIII\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv1,A>3\n"]}} {"board": "ooooooAABoCoooBDCoooBDCoEEoooooFFGGo", "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: ooooooAABoCoooBDCoooBDCoEEoooooFFGGo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>4\n"]}} {"board": "oooBoooooBooAAoBoooooooCoDDDoCEEoooC", "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: oooBoooooBooAAoBoooooooCoDDDoCEEoooC\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv3,A>4\n"]}} {"board": "ooooBoAAooBCoooooCoooooCoooooooooooo", "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: ooooBoAAooBCoooooCoooooCoooooooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,Bv1,A>4\n"]}} {"board": "AAoooBCCCDoBoooDEFoooDEFGGGoHFooIIHo", "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: AAoooBCCCDoBoooDEFoooDEFGGGoHFooIIHo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nFv1,Bv1,A>4\n"]}} {"board": "oBCAADEBCooDEBoFFFoGoHHoIGooJJIGoKKK", "size": 6, "moves": 3, "solution": ["F<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: oBCAADEBCooDEBoFFFoGoHHoIGooJJIGoKKK\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Dv1,A>1\n"]}} {"board": "ooBCCCAABooooooDDDEFFFooEoGGoooooHHH", "size": 6, "moves": 3, "solution": ["F>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: ooBCCCAABooooooDDDEFFFooEoGGoooooHHH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF>2,Bv2,A>4\n"]}} {"board": "ooBCCCAABooooDDEEoFGoHIJFGKHIJoGKoIJ", "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: ooBCCCAABooooDDEEoFGoHIJFGKHIJoGKoIJ\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv2,A>4\n"]}} {"board": "ooooooooooBCoAAoBCooooBCooDDDooooooo", "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: ooooooooooBCoAAoBCooooBCooDDDooooooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,D<1,Bv2,A>3\n"]}} {"board": "oooBBBoooooCDoAAoCDEooooDEFoGGoEFHHo", "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: oooBBBoooooCDoAAoCDEooooDEFoGGoEFHHo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,C^1,A>2\n"]}} {"board": "BooCooBAACooBDDCEoooooEooFFFooooooGG", "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: BooCooBAACooBDDCEoooooEooFFFooooooGG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Cv2,A>3\n"]}} {"board": "ooooooAAooBooCooBooCoDDDooEFFFooEooo", "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: ooooooAAooBooCooBooCoDDDooEFFFooEooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,C<2,Bv1,A>4\n"]}} {"board": "BBBooooooCooDDDCoEAAoCoEoooFFooooGGG", "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: BBBooooooCooDDDCoEAAoCoEoooFFooooGGG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,E^1,A>4\n"]}} {"board": "AAooBooCCoBooooDDDoooooooooooooooooo", "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: AAooBooCCoBooooDDDoooooooooooooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<2,Bv1,A>4\n"]}} {"board": "ooBooooCBDDDoCoooooEoooFoEAAoFoEoooF", "size": 6, "moves": 4, "solution": ["Bv2", "C<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: ooBooooCBDDDoCoooooEoooFoEAAoFoEoooF\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,C<1,F^2,A>2\n"]}} {"board": "ooooooAABoooCoBoooCoBDDDCEEEoooooFFF", "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: ooooooAABoooCoBoooCoBDDDCEEEoooooFFF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE>2,Bv1,A>4\n"]}} {"board": "oooBBBCCCDDDooAAEooFFFEoGHooEoGHoIIo", "size": 6, "moves": 3, "solution": ["I<1", "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: oooBBBCCCDDDooAAEooFFFEoGHooEoGHoIIo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nI<1,Ev1,A>2\n"]}} {"board": "oooooooooooooooBBBooooCoDoooCoDAAoCo", "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: oooooooooooooooBBBooooCoDoooCoDAAoCo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,C^1,A>3\n"]}} {"board": "oooBBBCooDooCAADooCooEEFoooooFooGGoF", "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: oooBBBCooDooCAADooCooEEFoooooFooGGoF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<3,D^1,A>3\n"]}} {"board": "ooooooBooCCCBooDEooooDEooAADoooooFFF", "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: ooooooBooCCCBooDEooooDEooAADoooooFFF\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,B<3,D^1,A>3\n"]}} {"board": "BAAooCBDDooCBoooEFooGGEFHHHIEooooIJJ", "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: BAAooCBDDooCBoooEFooGGEFHHHIEooooIJJ\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nFv1,Cv1,A>3\n"]}} {"board": "AAooBoCCooBooooDDDEEEFGGHHIFooJJIKKK", "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: AAooBoCCooBooooDDDEEEFGGHHIFooJJIKKK\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<2,Bv1,A>4\n"]}} {"board": "oAABoooCoBDDoCoEEooCFFFGHHooIGoJJoIG", "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: oAABoooCoBDDoCoEEooCFFFGHHooIGoJJoIG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE>1,Bv1,A>3\n"]}} {"board": "oBoooooBoCooAAoCDEoooFDEGGHFIoooHFIo", "size": 6, "moves": 4, "solution": ["C^1", "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: oBoooooBoCooAAoCDEoooFDEGGHFIoooHFIo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^2,E^2,A>4\n"]}} {"board": "ooooBoooAABCoDDEoCooFEooooFGGGooHHHo", "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: ooooBoooAABCoDDEoCooFEooooFGGGooHHHo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,Bv1,A>2\n"]}} {"board": "oooBBBooooooooooooooCoDoAACoDoEECoDo", "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: oooBBBooooooooooooooCoDoAACoDoEECoDo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,D^2,A>4\n"]}} {"board": "oooooooooAABoCoooBDCoEEEDCoooooooooo", "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: oooooooooAABoCoooBDCoEEEDCoooooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv1,A>1\n"]}} {"board": "AAoBCoooDBCoEEDBooooDooooFFoGoooooGo", "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: AAoBCoooDBCoEEDBooooDooooFFoGoooooGo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>4\n"]}} {"board": "BAAoCoBoooCoBDooCEoDFFGEooooGEoHHHoo", "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: BAAoCoBoooCoBDooCEoDFFGEooooGEoHHHoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nGv1,Cv1,A>3\n"]}} {"board": "ooBoooooBooooooooooooooCoAADoCoooDoo", "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: ooBoooooBooooooooooooooCoAADoCoooDoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^2,A>3\n"]}} {"board": "ooBBBCoooDoCAAoDoEFGHIJEFGHIJoFoHIJo", "size": 6, "moves": 4, "solution": ["B<2", "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: ooBBBCoooDoCAAoDoEFGHIJEFGHIJoFoHIJo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,D^1,Ev1,A>4\n"]}} {"board": "oooooooBBBCDAAooCDooEECFGHHooFGooooF", "size": 6, "moves": 3, "solution": ["Cv2", "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: oooooooBBBCDAAooCDooEECFGHHooFGooooF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,C^1,A>4\n"]}} {"board": "oooooooAAooBoooooBCDoEEECDooooCooooo", "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: oooooooAAooBoooooBCDoEEECDooooCooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv1,A>3\n"]}} {"board": "oooooBoooAABoooooooCCoDDooooooEEEFFF", "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: oooooBoooAABoooooooCCoDDooooooEEEFFF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv2,A>1\n"]}} {"board": "BBBoCDooooCDoAAoEDoFFGEooooGEoHHoGoo", "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: BBBoCDooooCDoAAoEDoFFGEooooGEoHHoGoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv3,Dv1,A>3\n"]}} {"board": "oBoCCCDBooEoDoAAEoFoGHHHFoGooIoJJooI", "size": 6, "moves": 4, "solution": ["Bv1", "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: oBoCCCDBooEoDoAAEoFoGHHHFoGooIoJJooI\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,B<2,E^1,A>2\n"]}} {"board": "oooooooooBBBoooooooAAoCoDDDoCEFFooCE", "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: oooooooooBBBoooooooAAoCoDDDoCEFFooCE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,C^3,A>3\n"]}} {"board": "ooBoooAABoooCoooooCDEFFGoDEHHGoDoooG", "size": 6, "moves": 3, "solution": ["Ev1", "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: ooBoooAABoooCoooooCDEFFGoDEHHGoDoooG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,Bv2,A>4\n"]}} {"board": "oooBoooooBoooooCCCoAADoEoooDoEoooooE", "size": 6, "moves": 4, "solution": ["C<1", "Dv1", "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: oooBoooooBoooooCCCoAADoEoooDoEoooooE\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,Dv1,D^3,A>3\n"]}} {"board": "ooooBooAAoBoooCCCoDDDoooEooooFEooooF", "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: ooooBooAAoBoooCCCoDDDoooEooooFEooooF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,Bv2,A>3\n"]}} {"board": "oooBBBooooCDooooCDoEEECFAAoooFoooooo", "size": 6, "moves": 4, "solution": ["B<1", "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: oooBBBooooCDooooCDoEEECFAAoooFoooooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,D^1,F^1,A>4\n"]}} {"board": "oBBBooooooCDEAAoCDEFooCGoFHooGoFHooG", "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: oBBBooooooCDEAAoCDEFooCGoFHooGoFHooG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,C^1,A>3\n"]}} {"board": "BCAADoBCooDoBCEoDoFoEoGGFHooooFHIIoo", "size": 6, "moves": 4, "solution": ["E^1", "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: BCAADoBCooDoBCEoDoFoEoGGFHooooFHIIoo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,G<2,Dv1,A>2\n"]}} {"board": "oBBBCoooAACoooooCooooDDDoooEEEoooooo", "size": 6, "moves": 4, "solution": ["D<2", "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: oBBBCoooAACoooooCooooDDDoooEEEoooooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<2,E<2,Cv2,A>2\n"]}} {"board": "ooBooCoDBooCoDBAACoDoEEEFFFGGooHHoII", "size": 6, "moves": 4, "solution": ["E<1", "I<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: ooBooCoDBooCoDBAACoDoEEEFFFGGooHHoII\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,I<1,Cv3,A>1\n"]}} {"board": "ooooBooCAABoDCoEEEDFFFoGDoHooGIIHJJo", "size": 6, "moves": 4, "solution": ["C^1", "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: ooooBooCAABoDCoEEEDFFFoGDoHooGIIHJJo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,E<2,Cv2,A>2\n"]}} {"board": "ooBCCCooBoDoAAEoDoooEFDoooEFoooooFoo", "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: ooBCCCooBoDoAAEoDoooEFDoooEFoooooFoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv2,Dv1,A>4\n"]}} {"board": "oooooBoooAABoooooBooooCCoooooooDDDoo", "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: oooooBoooAABoooooBooooCCoooooooDDDoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,Bv2,A>1\n"]}} {"board": "BoCoooBoCoooooCoooooooDooAAEDooooEDo", "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: BoCoooBoCoooooCoooooooDooAAEDooooEDo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,E^2,A>3\n"]}} {"board": "AAoooBooCCCBoDoooBoDoEEEoDFoGGooFHHH", "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: AAoooBooCCCBoDoooBoDoEEEoDFoGGooFHHH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv1,A>4\n"]}} {"board": "oooBBBCCCooooooooDooAAoDoEEooDoooooo", "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: oooBBBCCCooooooooDooAAoDoEEooDoooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,D^2,A>2\n"]}} {"board": "BCooooBCoDDDoCEEEoFGAAoHFGIIIHoGoJJH", "size": 6, "moves": 3, "solution": ["D<1", "H^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: BCooooBCoDDDoCEEEoFGAAoHFGIIIHoGoJJH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,H^3,A>2\n"]}} {"board": "ooBCCCooBDDDoEEEoooFoGGGHFoAAIHFoooI", "size": 6, "moves": 3, "solution": ["G<1", "I^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: ooBCCCooBDDDoEEEoooFoGGGHFoAAIHFoooI\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,I^2,A>1\n"]}} {"board": "oooooooooooBoooooBoAACoBoDoCEEoDoCFF", "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: oooooooooooBoooooBoAACoBoDoCEEoDoCFF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,C^3,A>3\n"]}} {"board": "ooooooooAABCooooBCooooBCDDDooooooooo", "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: ooooooooAABCooooBCooooBCDDDooooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>2\n"]}} {"board": "BooCCCBoooooBAAooDEooooDEooooDEoooFF", "size": 6, "moves": 3, "solution": ["F<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: BooCCCBoooooBAAooDEooooDEooooDEoooFF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Dv1,A>3\n"]}} {"board": "ooAAoBoCCooBDDooEEoFFoooGGooHHoIIIJJ", "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: ooAAoBoCCooBDDooEEoFFoooGGooHHoIIIJJ\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv1,A>2\n"]}} {"board": "oooBBBooCCCooooooooAADoooooDoooooDoo", "size": 6, "moves": 4, "solution": ["B<3", "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: oooBBBooCCCooooooooAADoooooDoooooDoo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<3,C<2,D^3,A>3\n"]}} {"board": "oAAooBoooooBoCooDDoCoooooooooooEEooo", "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: oAAooBoooooBoCooDDoCoooooooooooEEooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv1,A>3\n"]}} {"board": "oBoooooBoooooBoooooAAoCDEoooCDEoooCo", "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: oBoooooBoooooBoooooAAoCDEoooCDEoooCo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^3,D^2,A>3\n"]}} {"board": "oooBBBooCCCDoAAooDEoFooDEoFoGGoooooo", "size": 6, "moves": 3, "solution": ["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: oooBBBooCCCDoAAooDEoFooDEoFoGGoooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,Dv2,A>3\n"]}} {"board": "oBBBoCoAAoDCEEooDCoFFFooooooGooHHHGo", "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: oBBBoCoAAoDCEEooDCoFFFooooooGooHHHGo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,Cv1,A>3\n"]}} {"board": "ooooooooooBCoAAoBCoooooooDDEEEoooooo", "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: ooooooooooBCoAAoBCoooooooDDEEEoooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,C^1,A>3\n"]}} {"board": "oooBBBCCCoDoooooDooEAADooEoFFFoEooGG", "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: oooBBBCCCoDoooooDooEAADooEoFFFoEooGG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,D^1,A>2\n"]}} {"board": "oAAooBoCoDoBoCoDoBEooFFFEooGGGEooooo", "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: oAAooBoCoDoBoCoDoBEooFFFEooGGGEooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Bv1,A>3\n"]}} {"board": "ooBBBoooCCCoAAoDEooooDEFoooDoFoGGoHH", "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: ooBBBoooCCCoAAoDEooooDEFoooDoFoGGoHH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,Dv1,A>4\n"]}} {"board": "ooBBBooooooooooooooAAoCooDooCooDooCo", "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: ooBBBooooooooooooooAAoCooDooCooDooCo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,C^3,A>3\n"]}} {"board": "oooooBoCCCDBooAADBEooFFoEGHHHoEGooII", "size": 6, "moves": 4, "solution": ["D^1", "I<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: oooooBoCCCDBooAADBEooFFoEGHHHoEGooII\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,I<1,Cv3,A>2\n"]}} {"board": "oBoooCoBoDoCoooDooEEEoFooGGGFHoAAoFH", "size": 6, "moves": 3, "solution": ["F^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: oBoooCoBoDoCoooDooEEEoFooGGGFHoAAoFH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,H^1,A>3\n"]}} {"board": "oooooooooBBBoooooooAACDoEEoCDFoooCDF", "size": 6, "moves": 4, "solution": ["B<3", "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: oooooooooBBBoooooooAACDoEEoCDFoooCDF\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<3,C^3,D^3,A>3\n"]}} {"board": "oooooooooBBBoooooooooAACooDDDCoooooC", "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: oooooooooBBBoooooooooAACooDDDCoooooC\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,C^3,A>1\n"]}} {"board": "oBBBoooooCCCoooooooooooDooAAoDoooooD", "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: oBBBoooooCCCoooooooooooDooAAoDoooooD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,D^2,A>2\n"]}} {"board": "oooooooooBBBCoooooCooooDAAoooDoooooD", "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: oooooooooBBBCoooooCooooDAAoooDoooooD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,D^2,A>4\n"]}} {"board": "oooBCooooBCoAAoBooooDDooooooooEEoooo", "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: oooBCooooBCoAAoBooooDDooooooooEEoooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv3,A>4\n"]}} {"board": "oooooooooBBBooooooCCCoDooooEDoAAoEDo", "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: oooooooooBBBooooooCCCoDooooEDoAAoEDo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E^1,A>4\n"]}} {"board": "ooAAoBCCDDDBoooEEEooFFooGGHoooooHIII", "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: ooAAoBCCDDDBoooEEEooFFooGGHoooooHIII\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv1,A>2\n"]}} {"board": "oooBBBoooCCCooooooAAoDoooooDoooooDoo", "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: oooBBBoooCCCooooooAAoDoooooDoooooDoo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<3,C<3,D^3,A>4\n"]}} {"board": "oooBoCoooBoCDAABEoDoooEooooFFFoGGooo", "size": 6, "moves": 4, "solution": ["E^2", "F<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: oooBoCoooBoCDAABEoDoooEooooFFFoGGooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^2,F<3,Bv3,A>3\n"]}} {"board": "oooAABoooooBoooooBCDEFFFCDEoooCDEooo", "size": 6, "moves": 4, "solution": ["E^3", "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: oooAABoooooBoooooBCDEFFFCDEoooCDEooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^3,F<1,Cv1,A>1\n"]}} {"board": "ooBBBooooooooooooooooooCoAAoDCEEooDC", "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: ooBBBooooooooooooooooooCoAAoDCEEooDC\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,D^2,A>3\n"]}} {"board": "oAABoooCCBDDoooBooooEEFoooooFoooooFo", "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: oAABoooCCBDDoooBooooEEFoooooFoooooFo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv1,A>3\n"]}} {"board": "oooBBBCoAADoCoEoDoooEoDooooFFooGGooo", "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: oooBBBCoAADoCoEoDoooEoDooooFFooGGooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Dv1,A>2\n"]}} {"board": "ooBBBoooooooooooCoooAACoooooCoooooDD", "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: ooBBBoooooooooooCoooAACoooooCoooooDD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,C^2,A>2\n"]}} {"board": "oooBBBooooooooCoooooCAADoooooDoooooD", "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: oooBBBooooooooCoooooCAADoooooDoooooD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,D^3,A>1\n"]}} {"board": "oooBBBoooooooooooCAAooDCoooEDooooEDo", "size": 6, "moves": 4, "solution": ["B<2", "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: oooBBBoooooooooooCAAooDCoooEDooooEDo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,C^1,D^3,A>4\n"]}} {"board": "oooooooooBBBCCCoDoooooDooAAoDoooEEFF", "size": 6, "moves": 3, "solution": ["B<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: oooooooooBBBCCCoDoooooDooAAoDoooEEFF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,D^1,A>3\n"]}} {"board": "BCooooBCoDDDBooooEFAAooEFooooEFooooo", "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: BCooooBCoDDDBooooEFAAooEFooooEFooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,E^2,A>3\n"]}} {"board": "oooooooooBBBCoooooCAAoDoooooDooEEoDo", "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: oooooooooBBBCoooooCAAoDoooooDooEEoDo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,D^3,A>3\n"]}} {"board": "oooooooooAABoooooBCCoDDBoooEEEoooooo", "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: oooooooooAABoooooBCCoDDBoooEEEoooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv1,A>1\n"]}} {"board": "ooooBCAAooBCDDooBooEEEooFooGGGFoooHH", "size": 6, "moves": 4, "solution": ["Cv2", "G<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: ooooBCAAooBCDDooBooEEEooFooGGGFoooHH\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,G<2,Bv2,A>4\n"]}} {"board": "oooooBCAAooBCooooBoooDDDoEFooooEFGGG", "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: oooooBCAAooBCooooBoooDDDoEFooooEFGGG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv2,A>3\n"]}} {"board": "oBoooooBoooCoBoooCooDooEAADooEoooFFo", "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: oBoooooBoooCoBoooCooDooEAADooEoooFFo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^1,E^1,A>4\n"]}} {"board": "oooBBBooooooCoooooCoooDECoooDEooAADE", "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: oooBBBooooooCoooooCoooDECoooDEooAADE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E^1,A>2\n"]}} {"board": "oooBooooCBDoooCBDoAACoDooEEFGGoooFoo", "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: oooBooooCBDoooCBDoAACoDooEEFGGoooFoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^1,A>4\n"]}} {"board": "ooooBoAACoBoooCooooooooooooooooooooo", "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: ooooBoAACoBoooCooooooooooooooooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,Bv1,A>4\n"]}} {"board": "ooooooBBBooooCoooooCDooEooDooEAADooE", "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: ooooooBBBooooCoooooCDooEooDooEAADooE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E^1,A>4\n"]}} {"board": "BBBoCooDAACoEDooCoEDoFFoEooGGoHHIIoo", "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: BBBoCooDAACoEDooCoEDoFFoEooGGoHHIIoo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,G<1,Cv2,A>2\n"]}} {"board": "ooBBBCooDDDCoEoooCoEAAFoooooFoooooFo", "size": 6, "moves": 4, "solution": ["B<1", "D<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: ooBBBCooDDDCoEoooCoEAAFoooooFoooooFo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,D<1,F^3,A>2\n"]}} {"board": "oooooooooooooBBBooCCCDooAAoDoooooDoo", "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: oooooooooooooBBBooCCCDooAAoDoooooDoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,D^2,A>4\n"]}} {"board": "oooBBBCoDoooCoDoooCoooooAAEoooooEooo", "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: oooBBBCoDoooCoDoooCoooooAAEoooooEooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E^2,A>4\n"]}} {"board": "ooooooBBBooooooooooooooCoAAoDCooooDC", "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: ooooooBBBooooooooooooooCoAAoDCooooDC\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,D^2,A>3\n"]}} {"board": "BooCooBAACooBooCDDooEFFoooEoGGooEoHH", "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: BooCooBAACooBooCDDooEFFoooEoGGooEoHH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF>1,Cv2,A>3\n"]}} {"board": "oooooBAACooBooCooooooooooooDDDoooooo", "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: oooooBAACooBooCooooooooooooDDDoooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,Bv1,A>4\n"]}} {"board": "ooooBooCooBooCAABDoCoooDoooooooooEEE", "size": 6, "moves": 4, "solution": ["D^2", "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: ooooBooCooBooCAABDoCoooDoooooooooEEE\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,E<2,Bv3,A>2\n"]}} {"board": "oAAoBCDoooBCDoooBooEooFFoEoooooEoooo", "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: oAAoBCDoooBCDoooBooEooFFoEoooooEoooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,F<2,Bv1,A>3\n"]}} {"board": "oooBBBCDoEEECDoooooDoooFooooGFoAAoGF", "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: oooBBBCDoEEECDoooooDoooFooooGFoAAoGF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,G^1,A>3\n"]}} {"board": "ooBBBoooCDooAACDooooCDEoooooEooFFoEo", "size": 6, "moves": 4, "solution": ["Dv2", "F<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: ooBBBoooCDooAACDooooCDEoooooEooFFoEo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv2,F<1,Cv2,A>4\n"]}} {"board": "AAoBooCDoBooCDoBoooDEEoooooFFFooooGG", "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: AAoBooCDoBooCDoBoooDEEoooooFFFooooGG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE>2,Bv1,A>4\n"]}} {"board": "ooooooooooBoooooBooooCCCoooooDoooAAD", "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: ooooooooooBoooooBooooCCCoooooDoooAAD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,D^1,A>1\n"]}} {"board": "oooBBBCAAoDoCoooDoooEEDoooFFFooooooo", "size": 6, "moves": 3, "solution": ["F<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: oooBBBCAAoDoCoooDoooEEDoooFFFooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Dv1,A>3\n"]}} {"board": "ooBBBCooAAoCDDDooCEoooFFEooGGoEooHHH", "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: ooBBBCooAAoCDDDooCEoooFFEooGGoEooHHH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Cv2,A>2\n"]}} {"board": "BoooCoBoAACDBoEECDFFoooDooooGGHHHIII", "size": 6, "moves": 4, "solution": ["G<2", "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: BoooCoBoAACDBoEECDFFoooDooooGGHHHIII\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<2,Cv2,Cv1,A>2\n"]}} {"board": "BBBooooooooooooooooAACDooEoCDooEoCDo", "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: BBBooooooooooooooooAACDooEoCDooEoCDo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^3,D^3,A>3\n"]}} {"board": "BoooooBCDEEEBCDoooFCoAAGFHHHoGFooooG", "size": 6, "moves": 4, "solution": ["Dv1", "D<1", "G^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: BoooooBCDEEEBCDoooFCoAAGFHHHoGFooooG\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,D<1,G^3,A>1\n"]}} {"board": "oBoooCoBooDCoBAADCEoFoDoEoFoooEoGGoo", "size": 6, "moves": 3, "solution": ["Cv3", "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: oBoooCoBooDCoBAADCEoFoDoEoFoooEoGGoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv3,Cv2,A>2\n"]}} {"board": "oooAABooCCoBDoooEEDFFFooooooGHoIIoGH", "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: oooAABooCCoBDoooEEDFFFooooooGHoIIoGH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv1,A>1\n"]}} {"board": "oooBBBooooooooooooooAACoDDDoCoooooCo", "size": 6, "moves": 3, "solution": ["B<2", "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: oooBBBooooooooooooooAACoDDDoCoooooCo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,C^3,A>2\n"]}} {"board": "oooBoooAABooooCBDDooCoooooEFFoooEooo", "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: oooBoooAABooooCBDDooCoooooEFFoooEooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF>1,Bv2,A>3\n"]}} {"board": "oBBBCooAAoCoooDDoooooEEEFFooGoooooGo", "size": 6, "moves": 3, "solution": ["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: oBBBCooAAoCoooDDoooooEEEFFooGoooooGo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<2,Cv2,A>3\n"]}} {"board": "oooooBCooAABCooooooooDDDoooooooooooo", "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: oooooBCooAABCooooooooDDDoooooooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv2,A>1\n"]}} {"board": "BooCCCBDDDoEFoGGGEFooAAEFHIIJJoHooKK", "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: BooCCCBDDDoEFoGGGEFooAAEFHIIJJoHooKK\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,E^1,A>1\n"]}} {"board": "BoCoooBoCAADBoEEEDFGHoIIFGHJKKFGHJoo", "size": 6, "moves": 3, "solution": ["I<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: BoCoooBoCAADBoEEEDFGHoIIFGHJKKFGHJoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nI<1,Dv1,A>1\n"]}} {"board": "ooooBoooooBoooooBCooAADCooooDCooEEoo", "size": 6, "moves": 3, "solution": ["C^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: ooooBoooooBoooooBCooAADCooooDCooEEoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,Dv1,A>2\n"]}} {"board": "BoooCoBDAACooDoooooDoEEEooFoooooFooo", "size": 6, "moves": 4, "solution": ["D^1", "E<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: BoooCoBDAACooDoooooDoEEEooFoooooFooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E<2,Dv2,A>2\n"]}} {"board": "oBoooooBoCoooooCDoAAoCDoEEEooooooooo", "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: oBoooooBoCoooooCDoAAoCDoEEEooooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^1,A>4\n"]}} {"board": "ooAABooooCBoDDDCBEFooGGEFHooooFHoooo", "size": 6, "moves": 3, "solution": ["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: ooAABooooCBoDDDCBEFooGGEFHooooFHoooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,Bv1,A>2\n"]}} {"board": "BBBooCDEEEFCDooGFCoAAGoooooooooooHHH", "size": 6, "moves": 3, "solution": ["H<3", "Gv2", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBooCDEEEFCDooGFCoAAGoooooooooooHHH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nH<3,Gv2,A>3\n"]}} {"board": "oooooBooAACBooooCooDoooooDoooooDoEEE", "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: oooooBooAACBooooCooDoooooDoooooDoEEE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,Bv1,A>2\n"]}} {"board": "oooBBBoooCCCAADoEooFDoEGHFIIoGHJJooG", "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: oooBBBoooCCCAADoEooFDoEGHFIIoGHJJooG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,Ev1,A>4\n"]}} {"board": "ooAAoBoooooBoooCCCoooDDDoEEEFooGGoFo", "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: ooAAoBoooooBoooCCCoooDDDoEEEFooGGoFo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,Bv1,A>2\n"]}} {"board": "oBAACoDBooCoDBoEEoFGGoHHFIIJoKFooJoK", "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: oBAACoDBooCoDBoEEoFGGoHHFIIJoKFooJoK\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Cv1,A>2\n"]}} {"board": "ooooBoooooBoooAABooCoooooCoooooooDDD", "size": 6, "moves": 3, "solution": ["D<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: ooooBoooooBoooAABooCoooooCoooooooDDD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<2,Bv3,A>2\n"]}} {"board": "ooBCooAABCoooooCoooooooooooDDooooooo", "size": 6, "moves": 4, "solution": ["Bv2", "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: ooBCooAABCoooooCoooooooooooDDooooooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,D<2,Bv2,A>4\n"]}} {"board": "BoCoooBoCoDEBoooDEFoAADEFGHHHoFGooII", "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: BoCoooBoCoDEBoooDEFoAADEFGHHHoFGooII\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E^1,A>2\n"]}} {"board": "oooBBBoCDDDooCooooooAAoEoooooEoooooE", "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: oooBBBoCDDDooCooooooAAoEoooooEoooooE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,E^3,A>2\n"]}} {"board": "oBCCCoDBAAoEDBFFFEDGHHoEIGoJJJIGKKoo", "size": 6, "moves": 3, "solution": ["J<1", "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: oBCCCoDBAAoEDBFFFEDGHHoEIGoJJJIGKKoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nJ<1,Ev1,A>2\n"]}} {"board": "ooBoooAABooooooooooCCDDDoooEEEoooooo", "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: ooBoooAABooooooooooCCDDDoooEEEoooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,Bv2,A>4\n"]}} {"board": "oooAABoooCCBoDDoEEooooFFGHIIoJGHKKKJ", "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: oooAABoooCCBoDDoEEooooFFGHIIoJGHKKKJ\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv1,A>1\n"]}} {"board": "BBBoCoAAooCDEEoooDoFFooooooooooooGGo", "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: BBBoCoAAooCDEEoooDoFFooooooooooooGGo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,Cv1,A>4\n"]}} {"board": "ooBoooooBooooCBDoEoCoDFEooAAFEooGGFo", "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: ooBoooooBooooCBDoEoCoDFEooAAFEooGGFo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,F^2,A>2\n"]}} {"board": "oAAoBCooooBCDDDoBCooooEEooFFGHIIIoGH", "size": 6, "moves": 4, "solution": ["E<2", "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: oAAoBCooooBCDDDoBCooooEEooFFGHIIIoGH\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<2,Bv1,Bv1,A>3\n"]}} {"board": "BBBooooooCCCooooooDoAAoEDooooEDooooE", "size": 6, "moves": 3, "solution": ["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: BBBooooooCCCooooooDoAAoEDooooEDooooE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,E^3,A>2\n"]}} {"board": "oooooBoAAoCBDoooCoDoooCoDooEEooooooo", "size": 6, "moves": 4, "solution": ["Bv2", "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: oooooBoAAoCBDoooCoDoooCoDooEEooooooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,E<1,Bv1,A>3\n"]}} {"board": "BooCCCBooDooBooDoooAADooEFoGGGEFoHHH", "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: BooCCCBooDooBooDoooAADooEFoGGGEFoHHH\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,B<3,D^1,A>3\n"]}} {"board": "oooooooooBBBoCDooooCDEEEoCFAAGooFooG", "size": 6, "moves": 4, "solution": ["D^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: oooooooooBBBoCDooooCDEEEoCFAAGooFooG\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E<1,G^2,A>1\n"]}} {"board": "BoCoooBoCooDBooAADEoFFoDEooGGGEooooo", "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: BoCoooBoCooDBooAADEoFFoDEooGGGEooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,Dv2,A>1\n"]}} {"board": "ooooBoooooBooooCoooAACoDoEoCoDoEFFoo", "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: ooooBoooooBooooCoooAACoDoEoCoDoEFFoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,D^2,A>3\n"]}} {"board": "oBBBooooAACDEFFoCDEoGoooEHGIIIoHGJJJ", "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: oBBBooooAACDEFFoCDEoGoooEHGIIIoHGJJJ\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Cv1,A>2\n"]}} {"board": "oooooBAAooCBDoooCBDEEEooDFFFGoHHooGo", "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: oooooBAAooCBDoooCBDEEEooDFFFGoHHooGo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,Bv1,A>4\n"]}} {"board": "oAABoooooBoooooCCoDooEooDooEoooooEoo", "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: oAABoooooBoooooCCoDooEooDooEoooooEoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,Bv1,A>3\n"]}} {"board": "ooooBooAAoBoooooCCoDDDooooooooooEEoo", "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: ooooBooAAoBoooooCCoDDDooooooooooEEoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,Bv2,A>3\n"]}} {"board": "BBBCCCoooDoooooDooooooooooAAEFooooEF", "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: BBBCCCoooDoooooDooooooooooAAEFooooEF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^2,F^2,A>2\n"]}} {"board": "ooooBCoAAoBCooooBooooDDDoooooooooooo", "size": 6, "moves": 4, "solution": ["D<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: ooooBCoAAoBCooooBooooDDDoooooooooooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<2,Bv2,Bv2,A>3\n"]}} {"board": "oooBoooAABoooooooooooCCCooDoooooDooo", "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: oooBoooAABoooooooooooCCCooDoooooDooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<3,Bv2,A>3\n"]}} {"board": "oBoCDooBoCDoooEFFFoGEAAHIGJooHIGJKKK", "size": 6, "moves": 4, "solution": ["E^2", "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: oBoCDooBoCDoooEFFFoGEAAHIGJooHIGJKKK\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^2,F<1,H^2,A>1\n"]}} {"board": "oooBoooooBoCAAoBoCooooooooooooDDoooo", "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: oooBoooooBoCAAoBoCooooooooooooDDoooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv3,B^1,A>4\n"]}} {"board": "ooBCCCoDBooEoDBooEoDoAAEoooooooooooo", "size": 6, "moves": 4, "solution": ["Bv1", "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: ooBCCCoDBooEoDBooEoDoAAEoooooooooooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,B<1,E^1,A>1\n"]}} {"board": "oooBoCoooBoCooAAoCoooooooooooooooDDD", "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: oooBoCoooBoCooAAoCoooooooooooooooDDD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Cv3,A>2\n"]}} {"board": "ooooooooooBoAACDBoEoCDBoEooDoooooooo", "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: ooooooooooBoAACDBoEoCDBoEooDoooooooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,B^2,Cv1,A>4\n"]}} {"board": "oooooooooBBBooAACoooooCoDooEEFDooooF", "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: oooooooooBBBooAACoooooCoDooEEFDooooF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,C^2,A>2\n"]}} {"board": "ooAABoooCoBoooCoDooEEoDoooooDooFFFoo", "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: ooAABoooCoBoooCoDooEEoDoooooDooFFFoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,Bv1,A>2\n"]}} {"board": "ooAAoBCCDDoBEoFFoBEGoHHHoGIIIooGooJJ", "size": 6, "moves": 3, "solution": ["H<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: ooAAoBCCDDoBEoFFoBEGoHHHoGIIIooGooJJ\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nH<1,Bv1,A>2\n"]}} {"board": "oooooBAAoooBoooooBooCCCooooDDDoooooo", "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: oooooBAAoooBoooooBooCCCooooDDDoooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv2,A>4\n"]}} {"board": "BoooooBAAoCoooooCoDooEEEDooFooDGGFoo", "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: BoooooBAAoCoooooCoDooEEEDooFooDGGFoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<2,Cv1,A>3\n"]}} {"board": "BCDDDEBCoooEoAAooEoooFFFooGGGooooooo", "size": 6, "moves": 3, "solution": ["F<1", "Ev3", "A>3"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BCDDDEBCoooEoAAooEoooFFFooGGGooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Ev3,A>3\n"]}} {"board": "ooBoooAABoCoooBoCoDoooooDoooEoooooEo", "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: ooBoooAABoCoooBoCoDoooooDoooEoooooEo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,Bv1,A>4\n"]}} {"board": "oooBBBCCCoooooooooooDEoFooDEoFAADEoF", "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: oooBBBCCCoooooooooooDEoFooDEoFAADEoF\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E^1,F^1,A>4\n"]}} {"board": "oooooooooooooBBBCDEEEoCDooAACDoooFFF", "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: oooooooooooooBBBCDEEEoCDooAACDoooFFF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^1,A>2\n"]}} {"board": "BBBooooooCoooooCoooAACoDoooEoDoooEoD", "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: BBBooooooCoooooCoooAACoDoooEoDoooEoD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^3,A>3\n"]}} {"board": "ooAAoBooooCBooooCBoDDoEEooooooooFFoo", "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: ooAAoBooooCBooooCBoDDoEEooooooooFFoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv1,A>2\n"]}} {"board": "oooooooooooooooBoooAABoCoooBoCoDDDoC", "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: oooooooooooooooBoooAABoCoooBoCoDDDoC\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^2,C^3,A>3\n"]}} {"board": "ooooBoooooBoooAABoooooCCooDDDooEEEoo", "size": 6, "moves": 4, "solution": ["C<2", "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: ooooBoooooBoooAABoooooCCooDDDooEEEoo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,D<1,Bv3,A>2\n"]}} {"board": "oAAooBooCCCBDDooEEoooooooooFooGGoFoo", "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: oAAooBooCCCBDDooEEoooooooooFooGGoFoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv1,A>3\n"]}} {"board": "oBAACoDBooCEDooFFEGHHoIEGJJJIoGooKKK", "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: oBAACoDBooCEDooFFEGHHoIEGJJJIoGooKKK\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Cv1,A>2\n"]}} {"board": "oooooooooBBBooooooAAoCooDooCEEDooCoo", "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: oooooooooBBBooooooAAoCooDooCEEDooCoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<3,C^3,A>4\n"]}} {"board": "oooBooCCCBoooAADooEooDoFEGoDoFEGoHHF", "size": 6, "moves": 4, "solution": ["G^1", "H<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: oooBooCCCBoooAADooEooDoFEGoDoFEGoHHF\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nG^1,H<2,Dv1,A>3\n"]}} {"board": "BoCoDoBoCoDooECFFFGEoAAHGIJooHGIJoKK", "size": 6, "moves": 3, "solution": ["K<1", "Hv1", "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: BoCoDoBoCoDooECFFFGEoAAHGIJooHGIJoKK\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nK<1,Hv1,A>1\n"]}} {"board": "ooooooooooBoooCoBoAACDBooooDoooooDoo", "size": 6, "moves": 4, "solution": ["B^1", "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: ooooooooooBoooCoBoAACDBooooDoooooDoo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,C^1,D^3,A>4\n"]}} {"board": "oooooooooBoooAABCoDDooCooEooCooEoooo", "size": 6, "moves": 3, "solution": ["B^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: oooooooooBoooAABCoDDooCooEooCooEoooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,Cv1,A>3\n"]}} {"board": "oBoooooBoCCCoDAAEooDooEooDoFEooooFGG", "size": 6, "moves": 4, "solution": ["F^1", "G<2", "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: oBoooooBoCCCoDAAEooDooEooDoFEooooFGG\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,G<2,Ev1,A>2\n"]}} {"board": "BoooCoBoDoCEBoDAAEFGHIIEFGHoJJFGoKKK", "size": 6, "moves": 4, "solution": ["J<1", "K<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: BoooCoBoDoCEBoDAAEFGHIIEFGHoJJFGoKKK\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nJ<1,K<1,Ev2,A>1\n"]}} {"board": "ooooooooooooooooBoAACoBoooCooooDDooo", "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: ooooooooooooooooBoAACoBoooCooooDDooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,C^2,A>4\n"]}} {"board": "ooooBoAAooBooooCCCDDooooEooFFFEGGHHH", "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: ooooBoAAooBooooCCCDDooooEooFFFEGGHHH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,Bv2,A>4\n"]}} {"board": "oooooBooCCCBoAAooBoooooooooooooooDDD", "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: oooooBooCCCBoAAooBoooooooooooooooDDD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv3,A>3\n"]}} {"board": "oooooooooBBBooooooCAADoECoFDoEooFDoE", "size": 6, "moves": 4, "solution": ["B<3", "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: oooooooooBBBooooooCAADoECoFDoEooFDoE\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<3,D^3,E^3,A>3\n"]}} {"board": "ooBBBCoooooCoooooooooDEoAAoDEooooDoo", "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: ooBBBCoooooCoooooooooDEoAAoDEooooDoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,E^1,A>4\n"]}} {"board": "AAoooBooCCoBoDDDoBoooEEEoooooooooooo", "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: AAoooBooCCoBoDDDoBoooEEEoooooooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv1,A>4\n"]}} {"board": "ooooooooBBBoCDDDEoCFAAEoCFGoEooFGooo", "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: ooooooooBBBoCDDDEoCFAAEoCFGoEooFGooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,E^2,A>2\n"]}} {"board": "ooBBBooCAAoDoCoooDoCooEEooooooFFoooo", "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: ooBBBooCAAoDoCoooDoCooEEooooooFFoooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Dv1,A>2\n"]}} {"board": "BBBCoDAAoCoDoooCoDoooEEEoooooooFFFGG", "size": 6, "moves": 4, "solution": ["E<3", "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: BBBCoDAAoCoDoooCoDoooEEEoooooooFFFGG\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<3,Cv2,Cv2,A>4\n"]}} {"board": "oBCCCooBDDDooBooooAAEoooooEFFFooGGoo", "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: oBCCCooBDDDooBooooAAEoooooEFFFooGGoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD>1,E^2,A>4\n"]}} {"board": "oooooBAAoooBoCCooDoooooDoooooooooooo", "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: oooooBAAoooBoCCooDoooooDoooooooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv2,Bv2,A>4\n"]}} {"board": "ooooooooooooooooooooooooooooBCAAooBC", "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: ooooooooooooooooooooooooooooBCAAooBC\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,C^1,A>4\n"]}} {"board": "ooBCooooBCoooooDDDooAAoEoFoooEoFoGGE", "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: ooBCooooBCoooooDDDooAAoEoFoooEoFoGGE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,E^3,A>2\n"]}} {"board": "oooooooAABCooDDBCooooBoooooooooooEEE", "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: oooooooAABCooDDBCooooBoooooooooooEEE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>3\n"]}} {"board": "BoCCCoBooDDDEooooFEGAAoFEGoHHFoGooII", "size": 6, "moves": 3, "solution": ["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: BoCCCoBooDDDEooooFEGAAoFEGoHHFoGooII\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,F^2,A>2\n"]}} {"board": "oooBBBoooCCCAAooDoooooDoooEEDooooFFF", "size": 6, "moves": 3, "solution": ["F<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: oooBBBoooCCCAAooDoooooDoooEEDooooFFF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<2,Dv1,A>4\n"]}} {"board": "oooBBBooCCCoooDooEooDAAEoFoooEoFGGoo", "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: oooBBBooCCCoooDooEooDAAEoFoooEoFGGoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,E^2,A>1\n"]}} {"board": "oooooooooooooBBBooCCCDoEAAoDoEoooDoo", "size": 6, "moves": 4, "solution": ["B<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: oooooooooooooBBBooCCCDoEAAoDoEoooDoo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,D^2,E^1,A>4\n"]}} {"board": "oBCCCooBoooooBoooooooDoEAAoDoEFFoGGE", "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: oBCCCooBoooooBoooooooDoEAAoDoEFFoGGE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E^2,A>4\n"]}} {"board": "oooBBBoAACoooooCDDoooCEoooFFEooGGGoo", "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: oooBBBoAACoooooCDDoooCEoooFFEooGGGoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Cv1,A>3\n"]}} {"board": "oooooooooooBAAoooBoCCooBoooDDDoooooo", "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: oooooooooooBAAoooBoCCooBoooDDDoooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv2,A>4\n"]}} {"board": "ooooBoooAABooooCCCDDoooEFGGooEFooooE", "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: ooooBoooAABooooCCCDDoooEFGGooEFooooE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,Bv2,A>2\n"]}} {"board": "BBBoCooDDDCooEooCooEoooFooooGFAAooGF", "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: BBBoCooDDDCooEooCooEoooFooooGFAAooGF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,G^1,A>4\n"]}} {"board": "ooAABCoDoEBCoDoEBFGGGEoFoHHHIoJJJoIo", "size": 6, "moves": 4, "solution": ["Bv1", "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: ooAABCoDoEBCoDoEBFGGGEoFoHHHIoJJJoIo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Fv1,Bv1,A>2\n"]}} {"board": "oAAoBoooooBoooooCoooooCooooooooooooo", "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: oAAoBoooooBoooooCoooooCooooooooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Bv1,A>3\n"]}} {"board": "ooBoooAABoooooBoCCoooDDDooEEoooooooo", "size": 6, "moves": 3, "solution": ["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: ooBoooAABoooooBoCCoooDDDooEEoooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<2,Bv2,A>4\n"]}} {"board": "oooooBooCooBAACoooooCDDEoooooEoFFFoo", "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: oooooBooCooBAACoooooCDDEoooooEoFFFoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF>2,Cv2,A>4\n"]}} {"board": "oooooooooooBoooAABoCCooBoooooooooDDD", "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: oooooooooooBoooAABoCCooBoooooooooDDD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv2,A>1\n"]}} {"board": "oBBBCDooAACDEoFFFoEooooooGGooHoooooH", "size": 6, "moves": 4, "solution": ["Dv2", "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: oBBBCDooAACDEoFFFoEooooooGGooHoooooH\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv2,E<1,Cv2,A>2\n"]}} {"board": "BoooCoBAAoCoBooooooDDoEoooooEooooooo", "size": 6, "moves": 3, "solution": ["Ev1", "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: BoooCoBAAoCoBooooooDDoEoooooEooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,Cv2,A>3\n"]}} {"board": "AAooBooCCoBDoEooBDoEoFFooEoooooooooo", "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: AAooBooCCoBDoEooBDoEoFFooEoooooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Bv1,A>4\n"]}} {"board": "oBoAACDBoooCDBEEoCFooGGGFooHHHFIIooo", "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: oBoAACDBoooCDBEEoCFooGGGFooHHHFIIooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,Cv1,A>1\n"]}} {"board": "BoooCoBAAoCoBooDDDooooooooEEooooFFGG", "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: BoooCoBAAoCoBooDDDooooooooEEooooFFGG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<2,Cv2,A>3\n"]}} {"board": "ooooBoooooBoooooBooooooCooooDCoAAoDC", "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: ooooBoooooBoooooBooooooCooooDCoAAoDC\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^1,A>3\n"]}} {"board": "BCoDDDBCooooBoAAEoFFGoEooHGoIIoHoooo", "size": 6, "moves": 4, "solution": ["Cv1", "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: BCoDDDBCooooBoAAEoFFGoEooHGoIIoHoooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,C<2,E^2,A>2\n"]}} {"board": "oooooooooooooooBBBoAAooCDooooCDooooC", "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: oooooooooooooooBBBoAAooCDooooCDooooC\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,C^3,A>3\n"]}} {"board": "AAooBooCooBDoCoEEDoCFFFDGGGoHHIIIJJo", "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: AAooBooCooBDoCoEEDoCFFFDGGGoHHIIIJJo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv1,A>4\n"]}} {"board": "BBBoooAAooCDoEEECDoooooooooFFFoooGGo", "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: BBBoooAAooCDoEEECDoooooooooFFFoooGGo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Cv1,A>4\n"]}} {"board": "BooAACBDDDoCoooEEFGoHooFGoHoooooHoII", "size": 6, "moves": 3, "solution": ["Fv1", "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: BooAACBDDDoCoooEEFGoHooFGoHoooooHoII\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nFv1,Cv1,A>1\n"]}} {"board": "oBoooooBoCCCoBoooDooEEEDFGoooHFGoAAH", "size": 6, "moves": 4, "solution": ["C<1", "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: oBoooooBoCCCoBoooDooEEEDFGoooHFGoAAH\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,D^1,H^1,A>1\n"]}} {"board": "ooooooBoooooBooCDEoAACDEoooCoEoFFoGG", "size": 6, "moves": 4, "solution": ["C^2", "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: ooooooBoooooBooCDEoAACDEoooCoEoFFoGG\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,D^1,E^2,A>3\n"]}} {"board": "ooBCooooBCoooooCoooooDDDoooAAEoooooE", "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: ooBCooooBCoooooCoooooDDDoooAAEoooooE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,E^2,A>1\n"]}} {"board": "BoooooBoooooBoCCCoooDDDEooooFEooAAFE", "size": 6, "moves": 4, "solution": ["D<1", "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: BoooooBoooooBoCCCoooDDDEooooFEooAAFE\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,E^1,F^1,A>2\n"]}} {"board": "ooooooooooBooAAoBoooooBooooooooooCCo", "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: ooooooooooBooAAoBoooooBooooooooooCCo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,Bv2,A>3\n"]}} {"board": "oBAAoCoBoooCoooooCDoEoFFDoEoooGGoooo", "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: oBAAoCoBoooCoooooCDoEoFFDoEoooGGoooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Cv1,A>2\n"]}} {"board": "oBoCCCoBoooooBooooAAoooDoooooDoooooD", "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: oBoCCCoBoooooBooooAAoooDoooooDoooooD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,D^3,A>4\n"]}} {"board": "BoAACoBoooCoBDoEEoFDGGGoFDoHHHFIIooo", "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: BoAACoBoooCoBDoEEoFDGGGoFDoHHHFIIooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Cv1,A>2\n"]}} {"board": "ooooooooooBooAAoBCoooDBCooEDoFooEooF", "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: ooooooooooBooAAoBCoooDBCooEDoFooEooF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,B^2,A>3\n"]}} {"board": "oooBBBooCAADooCoEDooFFEDooGoHHooGIII", "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: oooBBBooCAADooCoEDooFFEDooGoHHooGIII\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nH<1,Dv1,A>1\n"]}} {"board": "ooooooooBoooooBooCoDBoECoDAAECoDooEo", "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: ooooooooBoooooBooCoDBoECoDAAECoDooEo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,E^2,A>2\n"]}} {"board": "ooAABooCooBooCoDDooooEEEoFoooooFoGGG", "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: ooAABooCooBooCoDDooooEEEoFoooooFoGGG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv1,A>2\n"]}} {"board": "AAooBCDoooBCDooooCDoEEoooFFoGHoIIoGH", "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: AAooBCDoooBCDooooCDoEEoooFFoGHoIIoGH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>4\n"]}} {"board": "oooooooooooooBBBoCoooDoCoooDECoAADEo", "size": 6, "moves": 4, "solution": ["B<1", "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: oooooooooooooBBBoCoooDoCoooDECoAADEo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,D^1,E^1,A>3\n"]}} {"board": "ooooooooooooooooooooooBCAAooBCooooBC", "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: ooooooooooooooooooooooBCAAooBCooooBC\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^2,C^2,A>4\n"]}} {"board": "oooAABoooCoBoooCoDoooCoDoooooDooooEE", "size": 6, "moves": 4, "solution": ["E<1", "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: oooAABoooCoBoooCoDoooCoDoooooDooooEE\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Dv1,Bv1,A>1\n"]}} {"board": "ooooooBCooDoBCooDoooAADEoFFFoEoooooE", "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: ooooooBCooDoBCooDoooAADEoFFFoEoooooE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E^3,A>2\n"]}} {"board": "BooAACBooDoCEFGDHCEFGoHIoFJJHIKKoLLL", "size": 6, "moves": 4, "solution": ["L<1", "Iv1", "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: BooAACBooDoCEFGDHCEFGoHIoFJJHIKKoLLL\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nL<1,Iv1,Cv1,A>1\n"]}} {"board": "oooooBooAACBDDooCoEEFGCoooFGooooFGoo", "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: oooooBooAACBDDooCoEEFGCoooFGooooFGoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,Bv1,A>2\n"]}} {"board": "BCCCDoBoEoDoBoEoDFooEooFoAAGoFHHoGII", "size": 6, "moves": 3, "solution": ["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: BCCCDoBoEoDoBoEoDFooEooFoAAGoFHHoGII\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,G^2,A>3\n"]}} {"board": "oooooooBBBoCDoAAoCDooEECDoFFFooGGHHH", "size": 6, "moves": 4, "solution": ["G<1", "H<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: oooooooBBBoCDoAAoCDooEECDoFFFooGGHHH\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,H<1,Cv2,A>2\n"]}} {"board": "ooooBCAAooBCDoEEoCDFGGooDFHoIIJJHoKK", "size": 6, "moves": 4, "solution": ["Bv2", "I<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: ooooBCAAooBCDoEEoCDFGGooDFHoIIJJHoKK\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,I<1,Bv2,A>4\n"]}} {"board": "oBoAACoBoooCoooDDDooEEooFFFoGooHHHGo", "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: oBoAACoBoooCoooDDDooEEooFFFoGooHHHGo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Cv1,A>1\n"]}} {"board": "oooBoooAABCoDooBCoDooooooEEooooooooo", "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: oooBoooAABCoDooBCoDooooooEEooooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,Bv1,A>3\n"]}} {"board": "ooooBooCCCBDAAooBDooooooooEEEooooooo", "size": 6, "moves": 4, "solution": ["D^1", "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: ooooBooCCCBDAAooBDooooooooEEEooooooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E<1,Bv3,A>4\n"]}} {"board": "BAAoCDBoooCDoooooooEoFFFoEGGGHoooooH", "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: BAAoCDBoooCDoooooooEoFFFoEGGGHoooooH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Cv1,A>3\n"]}} {"board": "oBCCCooBooooDBoEEEDFAAoGHFIIIGHFoooG", "size": 6, "moves": 3, "solution": ["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: oBCCCooBooooDBoEEEDFAAoGHFIIIGHFoooG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,G^3,A>2\n"]}} {"board": "oooooooooBBBoooCCCDoooEoDooFEoDAAFEo", "size": 6, "moves": 4, "solution": ["C<2", "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: oooooooooBBBoooCCCDoooEoDooFEoDAAFEo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,E^1,F^1,A>3\n"]}} {"board": "BoAACDBoooCDoEEooDoooooooooFoooooFoo", "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: BoAACDBoooCDoEEooDoooooooooFoooooFoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Cv1,A>2\n"]}} {"board": "oooooBCDoAABCDoEEECoFFoooooooooooGGG", "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: oooooBCDoAABCDoEEECoFFoooooooooooGGG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv2,A>1\n"]}} {"board": "ooBooCooBDoCoAADoCoooEoooooEFooooEFo", "size": 6, "moves": 3, "solution": ["Cv3", "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: ooBooCooBDoCoAADoCoooEoooooEFooooEFo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv3,C^1,A>3\n"]}} {"board": "oAAoBoCCooBoooooDDooooooooEoooooEFFo", "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: oAAoBoCCooBoooooDDooooooooEoooooEFFo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<2,Bv1,A>3\n"]}} {"board": "ooAABoooooBCDDooBCoooEECFFooooooGGGo", "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: ooAABoooooBCDDooBCoooEECFFooooooGGGo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv1,A>2\n"]}} {"board": "AAoBoooooBoooooCCCoooDoooooDooEEoDoo", "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: AAoBoooooBoooooCCCoooDoooooDooEEoDoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<3,Bv1,A>4\n"]}} {"board": "oooBBBoCCCoooDDDooEAAoFGEHHoFGEoIIFG", "size": 6, "moves": 4, "solution": ["B<2", "F^3", "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: oooBBBoCCCoooDDDooEAAoFGEHHoFGEoIIFG\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,F^3,G^3,A>3\n"]}} {"board": "oooBBBoooCoooooCooAAoCooooDDDooooooo", "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: oooBBBoooCoooooCooAAoCooooDDDooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<3,C^1,A>4\n"]}} {"board": "BBBCCCDDDoEooFFFEoGoooEHGAAIoHGooIoH", "size": 6, "moves": 4, "solution": ["F<1", "H^2", "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: BBBCCCDDDoEooFFFEoGoooEHGAAIoHGooIoH\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,H^2,I^2,A>3\n"]}} {"board": "oooBBBoooooCooAAoCoDoEEEoDoFFFoDGGoo", "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: oooBBBoooooCooAAoCoDoEEEoDoFFFoDGGoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,C^1,A>2\n"]}} {"board": "oAAoBoooooBoCoooBDCEoFFDGEHHooGEooII", "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: oAAoBoooooBoCoooBDCEoFFDGEHHooGEooII\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Bv1,A>3\n"]}} {"board": "ooBooCooBAACoooooDoEoooDFEGoooFEGooo", "size": 6, "moves": 3, "solution": ["Dv2", "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: ooBooCooBAACoooooDoEoooDFEGoooFEGooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv2,Cv2,A>1\n"]}} {"board": "oooBBBooCDooAACDooooCooEoFoooEoFoooE", "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: oooBBBooCDooAACDooooCooEoFoooEoFoooE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,Cv2,A>4\n"]}} {"board": "ooooooooBooCAABooCDoBoEEDooooFDGGooF", "size": 6, "moves": 4, "solution": ["C^1", "G>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: ooooooooBooCAABooCDoBoEEDooooFDGGooF\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,G>2,Cv2,A>4\n"]}} {"board": "oooBooAAoBoooooBoooooCCooooooooooooo", "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: oooBooAAoBoooooBoooooCCooooooooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,Bv2,A>4\n"]}} {"board": "oooBBBoooCoooooCooAAoCoDoEEooDoFFooD", "size": 6, "moves": 4, "solution": ["B<3", "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: oooBBBoooCoooooCooAAoCoDoEEooDoFFooD\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<3,C^1,D^3,A>4\n"]}} {"board": "ooooBCAAooBCooooBCDDoEEoooooooooooFF", "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: ooooBCAAooBCooooBCDDoEEoooooooooooFF\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,E<1,Bv2,A>4\n"]}} {"board": "ooooooBooCCCBooDDDoooooEFAAooEFooGGE", "size": 6, "moves": 4, "solution": ["C<1", "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: ooooooBooCCCBooDDDoooooEFAAooEFooGGE\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,D<1,E^2,A>3\n"]}} {"board": "oBBBoooooCCCoDoooEoDFAAEGGFooEooHHoo", "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: oBBBoooooCCCoDoooEoDFAAEGGFooEooHHoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,E^2,A>1\n"]}} {"board": "oBoCCCoBoAADEEFooDooFooDoooGGGoooooo", "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: oBoCCCoBoAADEEFooDooFooDoooGGGoooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,Dv1,A>1\n"]}} {"board": "oooooBoooooBAAoooBoCCoooooDDoooooEEE", "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: oooooBoooooBAAoooBoCCoooooDDoooooEEE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv3,A>4\n"]}} {"board": "oooAABoooooBooooCCoooooooooooooooDDD", "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: oooAABoooooBooooCCoooooooooooooooDDD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,Bv1,A>1\n"]}} {"board": "oooooooooooooooBoCDooBoCDAAEoooooEoo", "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: oooooooooooooooBoCDooBoCDAAEoooooEoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^2,E^2,A>3\n"]}} {"board": "ooAAoBoooooBooooCCoooDoEoooDoEoooDoE", "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: ooAAoBoooooBooooCCoooDoEoooDoEoooDoE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,Bv1,A>2\n"]}} {"board": "ooooooAABoooCoBoooCoBDDoooEEEFGGoooF", "size": 6, "moves": 4, "solution": ["F^2", "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: ooooooAABoooCoBoooCoBDDoooEEEFGGoooF\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^2,F>1,Bv1,A>4\n"]}} {"board": "oAAooBCooooBCoooDDCoEooFGGEHHFooEooF", "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: oAAooBCooooBCoooDDCoEooFGGEHHFooEooF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv1,A>3\n"]}} {"board": "BAAoCoBDDoCEBooFCEGooFHHGIoJJJoIoKKK", "size": 6, "moves": 4, "solution": ["F^1", "H<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: BAAoCoBDDoCEBooFCEGooFHHGIoJJJoIoKKK\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,H<2,Cv1,A>3\n"]}} {"board": "oooooooooooooooBCooooBCoAAoBCooooooo", "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: oooooooooooooooBCooooBCoAAoBCooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,C^1,A>4\n"]}} {"board": "oooooooooooooooBoooAABCoDoEBCoDoEoCo", "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: oooooooooooooooBoooAABCoDoEBCoDoEoCo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^2,C^3,A>3\n"]}} {"board": "oooBCDoooBCDoAABoDooooooooooEEoooooo", "size": 6, "moves": 4, "solution": ["E<3", "Bv3", "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: oooBCDoooBCDoAABoDooooooooooEEoooooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<3,Bv3,Cv3,A>3\n"]}} {"board": "BoooooBooCDoEooCDoEAACDoEooFoooGGFoo", "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: BoooooBooCDoEooCDoEAACDoEooFoooGGFoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^1,A>3\n"]}} {"board": "oBBBoooooCDoEEECDFoGAADFHGIIJKHoooJK", "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: oBBBoooooCDoEEECDFoGAADFHGIIJKHoooJK\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,F^1,A>2\n"]}} {"board": "oooBBBCDEEEoCDoFFFCDoooGHAAooGHooIIG", "size": 6, "moves": 3, "solution": ["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: oooBBBCDEEEoCDoFFFCDoooGHAAooGHooIIG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,G^2,A>3\n"]}} {"board": "oAAooBooCCCBDDEooBooEoFFGGoHIIoJJHoo", "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: oAAooBooCCCBDDEooBooEoFFGGoHIIoJJHoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Bv1,A>3\n"]}} {"board": "oooooooBCoooDBCoEoDoAAEFooGGEFHHHooF", "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: oooooooBCoooDBCoEoDoAAEFooGGEFHHHooF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^2,F^3,A>2\n"]}} {"board": "oooBBBoooooooooCCCoooooDooAAoDoooooD", "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: oooBBBoooooooooCCCoooooDooAAoDoooooD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,D^2,A>2\n"]}} {"board": "oooBoooooBoooAABCoooooCooooooooooDDD", "size": 6, "moves": 4, "solution": ["C^2", "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: oooBoooooBoooAABCoooooCooooooooooDDD\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,D<3,Bv3,A>3\n"]}} {"board": "ooooBoooAABooCCoooDoEEEoDooFFGDHHIIG", "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: ooooBoooAABooCCoooDoEEEoDooFFGDHHIIG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv2,A>2\n"]}} {"board": "oooooooooBooAACBoDEoCFFDEooooDGGGooo", "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: oooooooooBooAACBoDEoCFFDEooooDGGGooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,C^2,Dv1,A>4\n"]}} {"board": "ooooBooAAoBoCCoDBooooDooEEooFFGGGooo", "size": 6, "moves": 3, "solution": ["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: ooooBooAAoBoCCoDBooooDooEEooFFGGGooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<2,Bv2,A>3\n"]}} {"board": "oooooooooooooAABoCDooBoCDEEooCDooFFF", "size": 6, "moves": 4, "solution": ["B^2", "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: oooooooooooooAABoCDooBoCDEEooCDooFFF\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^2,F<1,Cv1,A>3\n"]}} {"board": "ooBBBCoooAACDoEEECDooFFFGoooHHGIIJJJ", "size": 6, "moves": 4, "solution": ["F<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: ooBBBCoooAACDoEEECDooFFFGoooHHGIIJJJ\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,H<1,Cv2,A>1\n"]}} {"board": "oAABooCCoBDooEEEDooooooooooFFFGGGooo", "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: oAABooCCoBDooEEEDooooooooooFFFGGGooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv1,A>3\n"]}} {"board": "ooBBBooooCCCoooDDDAAEoooooEoooooEooo", "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: ooBBBooooCCCoooDDDAAEoooooEoooooEooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB>1,E^3,A>4\n"]}} {"board": "oBoooooBooooCooDDDCoAAEoCoooEoooooEo", "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: oBoooooBooooCooDDDCoAAEoCoooEoooooEo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<2,E^3,A>2\n"]}} {"board": "BAACoDBooCoDBooCoDEoooFoEoooFooooooo", "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: BAACoDBooCoDBooCoDEoooFoEoooFooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Cv1,A>3\n"]}} {"board": "oooBBBoCoooooCoooDoCAAoDEEoooDoooFFF", "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: oooBBBoCoooooCoooDoCAAoDEEoooDoooFFF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,D^2,A>2\n"]}} {"board": "BoAAoCBDDooCBEEEFGHHIIFGooooFGoooooo", "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: BoAAoCBDDooCBEEEFGHHIIFGooooFGoooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nGv1,Cv1,A>2\n"]}} {"board": "BoooooBooCoDAAoCoDEooFFFEGHHooEGoooo", "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: BoooooBooCoDAAoCoDEooFFFEGHHooEGoooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^1,A>4\n"]}} {"board": "ooooooooooooooooBoCoooBoCoAABDCEEEoD", "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: ooooooooooooooooBoCoooBoCoAABDCEEEoD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,D^2,A>2\n"]}} {"board": "oooBooAACBooDoCBEEDoCooooFoooGoFoHHG", "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: oooBooAACBooDoCBEEDoCooooFoooGoFoHHG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,Bv1,A>4\n"]}} {"board": "ooAAoBCCoooBoooooDEooooDEooFFFEoGGoo", "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: ooAAoBCCoooBoooooDEooooDEooFFFEoGGoo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Dv1,Bv1,A>2\n"]}} {"board": "ooooooooooooooBBBoAAooCDoooECDoooECo", "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: ooooooooooooooBBBoAAooCDoooECDoooECo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,C^3,D^2,A>4\n"]}} {"board": "oooBBBooooooooCCCoooooDoooooDoooAADo", "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: oooBBBooooooooCCCoooooDoooooDoooAADo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,D^1,A>2\n"]}} {"board": "oooooBooCCCBoooooBoDooEooDAAEooFFFEo", "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: oooooBooCCCBoooooBoDooEooDAAEooFFFEo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,E^2,A>2\n"]}} {"board": "ooBBBoCCCooooooDDDoEEEoooooFooAAoFoo", "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: ooBBBoCCCooooooDDDoEEEoooooFooAAoFoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,F^1,A>4\n"]}} {"board": "ooooooBooCCCBoooDooAAoDooEEoFFGGHHHo", "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: ooooooBooCCCBoooDooAAoDooEEoFFGGHHHo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,D^1,A>3\n"]}} {"board": "oBBBoooooooooooCCCooooDoooAADooooooo", "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: oBBBoooooooooooCCCooooDoooAADooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,D^1,A>2\n"]}} {"board": "oBCooooBCoooooCoooooooDEooAADEFFooDE", "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: oBCooooBCoooooCoooooooDEooAADEFFooDE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,E^2,A>2\n"]}} {"board": "oooBBBCoooooCoooooCoAAoDEEFoGDooFoGD", "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: oooBBBCoooooCoooooCoAAoDEEFoGDooFoGD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,D^3,A>2\n"]}} {"board": "BBBooCoooooCooDAACooDoooooDoooEEooFF", "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: BBBooCoooooCooDAACooDoooooDoooEEooFF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Cv3,A>1\n"]}} {"board": "oBoooooBoCCCDBooooDoAAEoDoFFEoooooEo", "size": 6, "moves": 4, "solution": ["Bv2", "B<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: oBoooooBoCCCDBooooDoAAEoDoFFEoooooEo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,B<2,E^3,A>2\n"]}} {"board": "AAoBoCDDEBFCooEBFCoGEoFooGHoIIooHoJJ", "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: AAoBoCDDEBFCooEBFCoGEoFooGHoIIooHoJJ\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>4\n"]}} {"board": "oooooBoooAABoooCCCoooDDoooooooooooEE", "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: oooooBoooAABoooCCCoooDDoooooooooooEE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,Bv2,A>1\n"]}} {"board": "oooooooooBoooAABoooooBoooooCCCooooDD", "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: oooooooooBoooAABoooooBoooooCCCooooDD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<3,Bv2,A>3\n"]}} {"board": "oBBBCoDoAACEDooFCEDGoFoEoGHFoooGHIII", "size": 6, "moves": 3, "solution": ["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: oBBBCoDoAACEDooFCEDGoFoEoGHFoooGHIII\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,Dv1,A>2\n"]}} {"board": "oooooBCooAABCooDDDCEoFGoHEoFGoHoIIGo", "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: oooooBCooAABCooDDDCEoFGoHEoFGoHoIIGo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv2,A>1\n"]}} {"board": "ooBooCooBooCoooAACoDoooooDoEEEoDoFFF", "size": 6, "moves": 4, "solution": ["E<1", "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: ooBooCooBooCoooAACoDoooooDoEEEoDoFFF\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,F<1,Cv3,A>1\n"]}} {"board": "AAoBoCoooBoCoooBooooDDDooooEEEoooFFo", "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: AAoBoCoooBoCoooBooooDDDooooEEEoooFFo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,D<2,Bv1,A>4\n"]}} {"board": "oAAoBoooCCBoDDDoBoooEFFoGGEHHHooooII", "size": 6, "moves": 4, "solution": ["Ev1", "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: oAAoBoooCCBoDDDoBoooEFFoGGEHHHooooII\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,E<1,Bv1,A>3\n"]}} {"board": "ooooBoooAABoooooooCooDDoCEEoooCoFFFo", "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: ooooBoooAABoooooooCooDDoCEEoooCoFFFo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv2,A>2\n"]}} {"board": "BooCooBooCooBooDDDooooEFoAAoEFoooooF", "size": 6, "moves": 4, "solution": ["D<2", "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: BooCooBooCooBooDDDooooEFoAAoEFoooooF\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<2,E^1,F^2,A>3\n"]}} {"board": "ooAABoooooBoooooCCDDDoEEoFFooGooHHHG", "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: ooAABoooooBoooooCCDDDoEEoFFooGooHHHG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,Bv1,A>2\n"]}} {"board": "oooooBCoAAoBCooooBCDDooooooEFFoooEoo", "size": 6, "moves": 4, "solution": ["E^2", "F<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: oooooBCoAAoBCooooBCDDooooooEFFoooEoo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^2,F<1,Bv2,A>2\n"]}} {"board": "oooBooCooBooCAADoooEoDoFGEHDoFGoHIIF", "size": 6, "moves": 4, "solution": ["H^1", "I<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: oooBooCooBooCAADoooEoDoFGEHDoFGoHIIF\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nH^1,I<2,Dv1,A>3\n"]}} {"board": "oooooBoooooBooooooooooCoooAACDooooCD", "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: oooooBoooooBooooooooooCoooAACDooooCD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,D^2,A>2\n"]}} {"board": "oBoCCCoBoooooBoDDDoEEEoFAAoooFooGGoo", "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: oBoCCCoBoooooBoDDDoEEEoFAAoooFooGGoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,F^1,A>4\n"]}} {"board": "ooooooooooBoooooBoooAABCoooooCoooooC", "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: ooooooooooBoooooBoooAABCoooooCoooooC\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,C^3,A>2\n"]}} {"board": "oooooooooooooooBBBoCAAoDoCoooDoooooD", "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: oooooooooooooooBBBoCAAoDoCoooDoooooD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,D^3,A>2\n"]}} {"board": "ooooooooooooooBoooooBoCoAADoCoooDoCo", "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: ooooooooooooooBoooooBoCoAADoCoooDoCo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^2,C^2,D^2,A>4\n"]}} {"board": "ooooooooBoCDooBoCDAABoCooooEEoooFFoo", "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: ooooooooBoCDooBoCDAABoCooooEEoooFFoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,C^1,A>4\n"]}} {"board": "ooooooBAAoCoBoooCooooDDDoooEEooooooo", "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: ooooooBAAoCoBoooCooooDDDoooEEooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<2,Cv1,A>3\n"]}} {"board": "BooCCCBoAADoooooDooEEoFFoGGoooHHHIIo", "size": 6, "moves": 4, "solution": ["E<1", "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: BooCCCBoAADoooooDooEEoFFoGGoooHHHIIo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,F<2,Dv1,A>2\n"]}} {"board": "oooBBBooooooooooooAAoCoooooCoooooCDD", "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: oooBBBooooooooooooAAoCoooooCoooooCDD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<3,C^3,A>4\n"]}} {"board": "ooAABCoDooBCoDoEEooDoooFooGGHFIIIoHF", "size": 6, "moves": 4, "solution": ["Cv1", "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: ooAABCoDooBCoDoEEooDoooFooGGHFIIIoHF\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,E<1,Bv1,A>2\n"]}} {"board": "BoooooBooooooooCCCoAADoEoooDFEoooDFo", "size": 6, "moves": 4, "solution": ["C<3", "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: BoooooBooooooooCCCoAADoEoooDFEoooDFo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<3,D^3,E^2,A>3\n"]}} {"board": "oBoCCCDBoooEDBoAAEDooFoEoooFoooGGGHH", "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: oBoCCCDBoooEDBoAAEDooFoEoooFoooGGGHH\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,H<1,Ev2,A>1\n"]}} {"board": "ooooooooooBCooooBCoAAoBDEEoooDoooooo", "size": 6, "moves": 3, "solution": ["B^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: ooooooooooBCooooBCoAAoBDEEoooDoooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,Dv1,A>3\n"]}} {"board": "ooooooooooooBooCooBooCooBooDooAAoDoo", "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: ooooooooooooBooCooBooCooBooDooAAoDoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^1,A>4\n"]}} {"board": "oBooCooBooCooBooDoAAoEDFoooEoFoooEoo", "size": 6, "moves": 4, "solution": ["Dv2", "D^3", "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: oBooCooBooCooBooDoAAoEDFoooEoFoooEoo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv2,D^3,E^2,A>4\n"]}} {"board": "ooAABooCCoBoooooBoDooEEFDooooFoooooF", "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: ooAABooCCoBoooooBoDooEEFDooooFoooooF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv1,A>2\n"]}} {"board": "oooBooCooBooCooBooDAAoEFDGoHEFDGoHoo", "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: oooBooCooBooCooBooDAAoEFDGoHEFDGoHoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^2,F^2,A>3\n"]}} {"board": "oooooBooCoDBEoCoDBEAAoDFEoGGHFoIIoHo", "size": 6, "moves": 3, "solution": ["D^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: oooooBooCoDBEoCoDBEAAoDFEoGGHFoIIoHo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,Fv1,A>3\n"]}} {"board": "ooooooBoooooBCDDDEoCAAFEGGooFoooHHHo", "size": 6, "moves": 4, "solution": ["E^1", "H<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: ooooooBoooooBCDDDEoCAAFEGGooFoooHHHo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,H<1,Fv1,A>2\n"]}} {"board": "BBBooooooCCCoooAADEooooDEooooDEoooFF", "size": 6, "moves": 3, "solution": ["F<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: BBBooooooCCCoooAADEooooDEooooDEoooFF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Dv1,A>1\n"]}} {"board": "oooooooBoooooBooCoDBooCEDoFoCEAAFooE", "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: oooooooBoooooBooCoDBooCEDoFoCEAAFooE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,F^1,A>4\n"]}} {"board": "ooooooooBoooAABoooooBoooCCCooooooooo", "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: ooooooooBoooAABoooooBoooCCCooooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC>3,Bv2,A>4\n"]}} {"board": "BBBoooooCDDDooCooEoooAAEFGGHHIFoJJoI", "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: BBBoooooCDDDooCooEoooAAEFGGHHIFoJJoI\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,C<1,E^1,A>1\n"]}} {"board": "oooBoCoAABoCoDDBEEFGHoIoFGHoIoFGHoJJ", "size": 6, "moves": 4, "solution": ["Bv3", "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: oooBoCoAABoCoDDBEEFGHoIoFGHoIoFGHoJJ\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv3,D<1,Bv2,A>3\n"]}} {"board": "oBoCoooBoCDooAAoDoEoooDoEoooFFEooooo", "size": 6, "moves": 3, "solution": ["F<2", "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: oBoCoooBoCDooAAoDoEoooDoEoooFFEooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<2,Dv2,A>3\n"]}} {"board": "oooooooooooBoooCoBoAACoDoooCEDooooEo", "size": 6, "moves": 3, "solution": ["C^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: oooooooooooBoooCoBoAACoDoooCEDooooEo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,Dv1,A>3\n"]}} {"board": "oAAooBoooooBooooCCoooooooooooDoooooD", "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: oAAooBoooooBooooCCoooooooooooDoooooD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,Bv1,A>3\n"]}} {"board": "oooooooooooooooooooBBBCoDDDoCEooAACE", "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: oooooooooooooooooooBBBCoDDDoCEooAACE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,E^1,A>2\n"]}} {"board": "ooAABooCCCBooooDDoooooooEFoGooEFoGoo", "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: ooAABooCCCBooooDDoooooooEFoGooEFoGoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv1,A>2\n"]}} {"board": "ooBBBoAAoooCoooooCDooEEEDoooooFFoGGG", "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: ooBBBoAAoooCoooooCDooEEEDoooooFFoGGG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Cv1,A>4\n"]}} {"board": "ooAABoooooBoooooBoCoDDDECoFooECoFooE", "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: ooAABoooooBoooooBoCoDDDECoFooECoFooE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv1,A>2\n"]}} {"board": "oooBBBoooooooooooCooAAoCoDEEoCoDoFFF", "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: oooBBBoooooooooooCooAAoCoDEEoCoDoFFF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,C^2,A>2\n"]}} {"board": "ooooooooooBCoDAABCoDooBCooooooooooEE", "size": 6, "moves": 4, "solution": ["E<2", "Bv2", "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: ooooooooooBCoDAABCoDooBCooooooooooEE\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<2,Bv2,Bv2,A>2\n"]}} {"board": "AAoooBoooooBCDDooECFoooEoFoooEoFoooo", "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: AAoooBoooooBCDDooECFoooEoFoooEoFoooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,Bv1,A>4\n"]}} {"board": "ooBBBCDDDooCoooooCoAAoEoooFoEoooFoEo", "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: ooBBBCDDDooCoooooCoAAoEoooFoEoooFoEo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,E^3,A>3\n"]}} {"board": "oooooBoooooBoooooBoooCDooAACDooooCDo", "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: oooooBoooooBoooooBoooCDooAACDooooCDo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,D^2,A>3\n"]}} {"board": "BCCCDoBAAEDoBooEDoFGGooHFooIIHFJJKKK", "size": 6, "moves": 4, "solution": ["Ev1", "I<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: BCCCDoBAAEDoBooEDoFGGooHFooIIHFJJKKK\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,I<1,Dv2,A>3\n"]}} {"board": "ooooooBBBoooooCCCooAADEoFoGDEoFoGDEo", "size": 6, "moves": 4, "solution": ["C<2", "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: ooooooBBBoooooCCCooAADEoFoGDEoFoGDEo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,D^3,E^3,A>3\n"]}} {"board": "ooooooooBoooooBooCoDAAECoDooECoDooEo", "size": 6, "moves": 3, "solution": ["C^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: ooooooooBoooooBooCoDAAECoDooECoDooEo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,E^3,A>2\n"]}} {"board": "AABooCDoBooCDoooooDEEEFGHHooFGooooFG", "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: AABooCDoBooCDoooooDEEEFGHHooFGooooFG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>4\n"]}} {"board": "oooooBoooooBoAAooBoooooooooCCCooooDD", "size": 6, "moves": 4, "solution": ["C<1", "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: oooooBoooooBoAAooBoooooooooCCCooooDD\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,D<1,Bv3,A>3\n"]}} {"board": "oooAABooCCCBDDoEoBoooEFGHHHIFGoooIFo", "size": 6, "moves": 3, "solution": ["Gv1", "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: oooAABooCCCBDDoEoBoooEFGHHHIFGoooIFo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nGv1,Bv1,A>1\n"]}} {"board": "oooBoooAABoooooBoooooooCooDDDCoooEEC", "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: oooBoooAABoooooBoooooooCooDDDCoooEEC\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<2,Bv2,A>3\n"]}} {"board": "BBBCCCooAAoDEooooDEoFFoDEooGGGoooHHH", "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: BBBCCCooAAoDEooooDEoFFoDEooGGGoooHHH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,Dv1,A>2\n"]}} {"board": "ooooooBBBCCCoAADEooFFDEooGGoEoooooHH", "size": 6, "moves": 4, "solution": ["Dv1", "H<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: ooooooBBBCCCoAADEooFFDEooGGoEoooooHH\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,H<2,Dv1,A>3\n"]}} {"board": "ooooBCAAooBCDDDoBCoooooooooooooooEEE", "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: ooooBCAAooBCDDDoBCoooooooooooooooEEE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,Bv2,A>4\n"]}} {"board": "oooooBooCCCBoooAABoDDEEEoooooooooooo", "size": 6, "moves": 4, "solution": ["D<1", "E<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: oooooBooCCCBoooAABoDDEEEoooooooooooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,E<1,Bv3,A>1\n"]}} {"board": "ooBBBooCoooDoCoAADoEEEoDoooooooooFFF", "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: ooBBBooCoooDoCoAADoEEEoDoooooooooFFF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Dv2,A>1\n"]}} {"board": "BoCDDDBECooFGECooFGEoAAFHHHoIJoKKKIJ", "size": 6, "moves": 4, "solution": ["Cv1", "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: BoCDDDBECooFGECooFGEoAAFHHHoIJoKKKIJ\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,C<1,F^1,A>1\n"]}} {"board": "oooooBooAAoBoooooBoCoooooCooDDoCEEEo", "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: oooooBooAAoBoooooBoCoooooCooDDoCEEEo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv2,A>2\n"]}} {"board": "AAoooBoCCooBDooEEEDFGHHHoFGooooFoIII", "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: AAoooBoCCooBDooEEEDFGHHHoFGooooFoIII\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv1,A>4\n"]}} {"board": "ooBBBCDoAAoCDEooooDEoFFFGHIJJJGHIoKK", "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: ooBBBCDoAAoCDEooooDEoFFFGHIJJJGHIoKK\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Cv2,A>2\n"]}} {"board": "oBCoDoEBCoDoEBFFFGEHHHoGoIoAAJoIoKKJ", "size": 6, "moves": 3, "solution": ["G^2", "J^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: oBCoDoEBCoDoEBFFFGEHHHoGoIoAAJoIoKKJ\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nG^2,J^2,A>1\n"]}} {"board": "ooooooooooooooAABCDDDoBCooooBCoooooo", "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: ooooooooooooooAABCDDDoBCooooBCoooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>2\n"]}} {"board": "BBBooooooCCCoooAADEoFooDEGFHHDEGoIII", "size": 6, "moves": 3, "solution": ["I<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: BBBooooooCCCoooAADEoFooDEGFHHDEGoIII\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nI<1,Dv1,A>1\n"]}} {"board": "BoooooBCCCDoBEEEDFooAAGFHHHoGFoooIII", "size": 6, "moves": 4, "solution": ["F^2", "I<2", "Gv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoooooBCCCDoBEEEDFooAAGFHHHoGFoooIII\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^2,I<2,Gv1,A>2\n"]}} {"board": "oooBoooAABoooooBooooCCDDooooEooFFFEo", "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: oooBoooAABoooooBooooCCDDooooEooFFFEo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,Bv2,A>3\n"]}} {"board": "oooBBBoooooooooCCCoooAADooEooDooEooD", "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: oooBBBoooooooooCCCoooAADooEooDooEooD\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,C<1,D^3,A>1\n"]}} {"board": "oBBBoooCCCDoooooDEooAADEooFFoEoooGGG", "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: oBBBoooCCCDoooooDEooAADEooFFoEoooGGG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E^2,A>2\n"]}} {"board": "BoooooBoooooooooooAAoCoDoooCoDoooooo", "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: BoooooBoooooooooooAAoCoDoooCoDoooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,D^2,A>4\n"]}} {"board": "oooBBBooooooooCoDEFoCoDEFoCAAGHHHooG", "size": 6, "moves": 4, "solution": ["B<1", "E^2", "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: oooBBBooooooooCoDEFoCoDEFoCAAGHHHooG\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,E^2,G^2,A>1\n"]}} {"board": "oAAoBCooDDBCoooooCoooEEEFoooooFooGGG", "size": 6, "moves": 4, "solution": ["Bv1", "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: oAAoBCooDDBCoooooCoooEEEFoooooFooGGG\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,E<1,Bv1,A>3\n"]}} {"board": "AAoBoooooBoCooDBoCEoDFFCEGGGooEooHHH", "size": 6, "moves": 4, "solution": ["D^1", "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: AAoBoooooBoCooDBoCEoDFFCEGGGooEooHHH\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,F<2,Bv1,A>4\n"]}} {"board": "ooooooooooooooooooAAooBCoDooBCoDooBC", "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: ooooooooooooooooooAAooBCoDooBCoDooBC\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^3,C^3,A>4\n"]}} {"board": "oooooooooAABCooooBCoDEEECoDFooooDFoo", "size": 6, "moves": 4, "solution": ["D^3", "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: oooooooooAABCooooBCoDEEECoDFooooDFoo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^3,E<1,Cv1,A>1\n"]}} {"board": "BCCCooBooDDDBAAooEooFoGEooFoGHooFoGH", "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: BCCCooBooDDDBAAooEooFoGEooFoGHooFoGH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,E^2,A>3\n"]}} {"board": "ooooooBooCCCBoooooBoAAoDEEoooDoooooD", "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: ooooooBooCCCBoooooBoAAoDEEoooDoooooD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,D^3,A>2\n"]}} {"board": "oAAoBoooooBooCCoBooooDDDoooooooooooo", "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: oAAoBoooooBooCCoBooooDDDoooooooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<2,Bv1,A>3\n"]}} {"board": "BBBCCCoooooooooDDDooooEoooAAEoFFooEo", "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: BBBCCCoooooooooDDDooooEoooAAEoFFooEo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<2,E^2,A>2\n"]}} {"board": "oAAoBCooooBCooooBCoooooooDDDoooooooo", "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: oAAoBCooooBCooooBCoooooooDDDoooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>3\n"]}} {"board": "oooooBoAAooBoooooBooooCCooooooDDoEEE", "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: oooooBoAAooBoooooBooooCCooooooDDoEEE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,Bv2,A>3\n"]}} {"board": "ooooooooooBoooooBoooooCoAADoCoooDEEo", "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: ooooooooooBoooooBoooooCoAADoCoooDEEo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,C^1,D^2,A>4\n"]}} {"board": "oBBBoooooooooooooCDooooCDoAAECDoooEo", "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: oBBBoooooooooooooCDooooCDoAAECDoooEo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,E^2,A>2\n"]}} {"board": "oAAooBoooooBooooCCooooDEFoooDEFGGGDE", "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: oAAooBoooooBooooCCooooDEFoooDEFGGGDE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,Bv1,A>3\n"]}} {"board": "BooCCCBoDooEAADooEooFGHEIIFGHoooFGHo", "size": 6, "moves": 3, "solution": ["D^1", "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: BooCCCBoDooEAADooEooFGHEIIFGHoooFGHo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,Ev2,A>4\n"]}} {"board": "ooooBooAAoBoooooBooooCCCDDoooooooooo", "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: ooooBooAAoBoooooBooooCCCDDoooooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,Bv2,A>3\n"]}} {"board": "ooooooBBBoCooDDDCooAAECoFFoEoooooEGG", "size": 6, "moves": 4, "solution": ["C^1", "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: ooooooBBBoCooDDDCooAAECoFFoEoooooEGG\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D<1,E^3,A>3\n"]}} {"board": "ooooBoCCCoBooAAoBooooooooooDDDEEEooo", "size": 6, "moves": 3, "solution": ["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: ooooBoCCCoBooAAoBooooooooooDDDEEEooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<2,Bv3,A>3\n"]}} {"board": "AABoooCoBDDDCoBEEEoFGHHooFGoIIoFJJoo", "size": 6, "moves": 4, "solution": ["J>1", "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: AABoooCoBDDDCoBEEEoFGHHooFGoIIoFJJoo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nJ>1,Gv1,Bv1,A>4\n"]}} {"board": "ooBoooooBAACDDBooCoEEEFFooGoooooGHHH", "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: ooBoooooBAACDDBooCoEEEFFooGoooooGHHH\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,F<1,Cv1,A>1\n"]}} {"board": "oooBoooAABoooCoBoooCoooooDDDEoooooEo", "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: oooBoooAABoooCoBoooCoooooDDDEoooooEo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv2,A>3\n"]}} {"board": "BBBCooAAoCooDDoEEoFGoHHoFGoooIFGJJoI", "size": 6, "moves": 4, "solution": ["E>1", "H>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: BBBCooAAoCooDDoEEoFGoHHoFGoooIFGJJoI\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nE>1,H>1,Cv2,A>4\n"]}} {"board": "oooBBBoooooooooCCCoDoooEFDoooEFDAAoE", "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: oooBBBoooooooooCCCoDoooEFDoooEFDAAoE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,E^1,A>2\n"]}} {"board": "oooBoCAAoBoCDoooooDoEEooooFoGGooFHHH", "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: oooBoCAAoBoCDoooooDoEEooooFoGGooFHHH\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,E<1,Bv2,A>4\n"]}} {"board": "BoooooBoooooBooooCooDDDCoAAEoooooEoo", "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: BoooooBoooooBooooCooDDDCoAAEoooooEoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<2,E^2,A>3\n"]}} {"board": "oBBBooAACoDoooCoDooooooEFFFooEGGGooE", "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: oBBBooAACoDoooCoDooooooEFFFooEGGGooE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Cv1,A>4\n"]}} {"board": "oAABooCCCBoooooDDDoEEEoooooFFoGGoooo", "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: oAABooCCCBoooooDDDoEEEoooooFFoGGoooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<3,Bv1,A>3\n"]}} {"board": "BBBoooooCCCooAADoooooDEoFFoDEooGGGEo", "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: BBBoooooCCCooAADoooooDEoFFoDEooGGGEo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,Dv1,A>3\n"]}} {"board": "oBoooCoBoAACoooDDDEFGoooEFGooooFGoHH", "size": 6, "moves": 3, "solution": ["D<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: oBoooCoBoAACoooDDDEFGoooEFGooooFGoHH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Cv2,A>1\n"]}} {"board": "BCAADoBCooDoBooEEEoFFFooooGGGooooHHH", "size": 6, "moves": 3, "solution": ["E<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: BCAADoBCooDoBooEEEoFFFooooGGGooooHHH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<2,Dv1,A>2\n"]}} {"board": "oooooooBoooooBCoDEoBCoDEAAFooEooFooo", "size": 6, "moves": 4, "solution": ["C^2", "E^1", "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: oooooooBoooooBCoDEoBCoDEAAFooEooFooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,E^1,F^2,A>4\n"]}} {"board": "oooBBBooooCoAAooCoooDDEFoGGGEFHHooEF", "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: oooBBBooooCoAAooCoooDDEFoGGGEFHHooEF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,C^1,A>4\n"]}} {"board": "oBoooooBooCoDoooCEDAAoCEDoooooooFFFo", "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: oBoooooBooCoDoooCEDAAoCEDoooooooFFFo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,E^1,A>3\n"]}} {"board": "oooooooAAooBoCDDoBoCoEoFoooEoFoooEoo", "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: oooooooAAooBoCDDoBoCoEoFoooEoFoooEoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nFv1,Bv1,A>3\n"]}} {"board": "oooooBAAoooBooooCCoooDDDooEoooooEooo", "size": 6, "moves": 4, "solution": ["C<1", "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: oooooBAAoooBooooCCoooDDDooEoooooEooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,D<1,Bv2,A>4\n"]}} {"board": "oAABooCCCBoooooDDooEoooooEoFFFoEoooo", "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: oAABooCCCBoooooDDooEoooooEoFFFoEoooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<2,Bv1,A>3\n"]}} {"board": "oAABooCCCBDEFFFBDEGooHHEGooIoJKKoIoJ", "size": 6, "moves": 3, "solution": ["H<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: oAABooCCCBDEFFFBDEGooHHEGooIoJKKoIoJ\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nH<2,Bv1,A>3\n"]}} {"board": "AABoooooBooCoDDooCoooooCooEoooooEooo", "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: AABoooooBooCoDDooCoooooCooEoooooEooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv1,A>4\n"]}} {"board": "oBoooCoBoAACDBEooCDFEoooDFEGGGoFooHH", "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: oBoooCoBoAACDBEooCDFEoooDFEGGGoFooHH\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,G<1,Cv2,A>1\n"]}} {"board": "ooooBooAAoBoooCCooooooDDoooooooooooo", "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: ooooBooAAoBoooCCooooooDDoooooooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<2,Bv2,A>3\n"]}} {"board": "oooBoooAABoooCCBoooDoEEFoDoooFoDGGGo", "size": 6, "moves": 4, "solution": ["Fv1", "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: oooBoooAABoooCCBoooDoEEFoDoooFoDGGGo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nFv1,E>1,Bv2,A>3\n"]}} {"board": "oooBBBoCCCoooooDDDoooEoooAAEoooooooo", "size": 6, "moves": 3, "solution": ["D<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: oooBBBoCCCoooooDDDoooEoooAAEoooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<3,E^1,A>3\n"]}} {"board": "AAoBCooDDBCEoooBoEFFFoGGHIIJJJHKKooo", "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: AAoBCooDDBCEoooBoEFFFoGGHIIJJJHKKooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>4\n"]}} {"board": "ooAABoCCCoBoooDDDEooFGGEHHFoIEooFoIo", "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: ooAABoCCCoBoooDDDEooFGGEHHFoIEooFoIo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv1,A>2\n"]}} {"board": "ooAAoBoCCooBoDDoEEFoGHHHFoGoIIFoGoJJ", "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: ooAAoBoCCooBoDDoEEFoGHHHFoGoIIFoGoJJ\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv1,A>2\n"]}} {"board": "BoCCCDBooEoDoAAEooFFoGGooooHHHoooooo", "size": 6, "moves": 4, "solution": ["Bv1", "B<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: BoCCCDBooEoDoAAEooFFoGGooooHHHoooooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,B<2,E^1,A>3\n"]}} {"board": "ooBoCDooBoCDoAAoCDoooooooEoooooEoooo", "size": 6, "moves": 3, "solution": ["Cv3", "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: ooBoCDooBoCDoAAoCDoooooooEoooooEoooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv3,Cv3,A>3\n"]}} {"board": "oooooooooooooooooooooooooooBCoAAoBCo", "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: oooooooooooooooooooooooooooBCoAAoBCo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,C^1,A>4\n"]}} {"board": "oBBBoCDAAooCDoooooEooFFFEooGGGEHHooo", "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: oBBBoCDAAooCDoooooEooFFFEooGGGEHHooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Cv2,A>3\n"]}} {"board": "ooBCCCooBAADEoBooDEooFFFEooooooooGGo", "size": 6, "moves": 3, "solution": ["F<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: ooBCCCooBAADEoBooDEooFFFEooooooooGGo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Dv1,A>1\n"]}} {"board": "ooBBBooCoDoooCoDoooCoEoooooEoooAAEoo", "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: ooBBBooCoDoooCoDoooCoEoooooEoooAAEoo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,D^1,E^1,A>3\n"]}} {"board": "AAooBoCCCoBoooDDDoEEFoooooFGGHooFooH", "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: AAooBoCCCoBoooDDDoEEFoooooFGGHooFooH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv1,A>4\n"]}} {"board": "BCoDDDBCooooBCAAoEoooooEoooFFFoooGGG", "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: BCoDDDBCooooBCAAoEoooooEoooFFFoooGGG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,E^2,A>2\n"]}} {"board": "ooBBBoooooooooooooAAoCDoEEoCDooooCDo", "size": 6, "moves": 4, "solution": ["B<2", "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: ooBBBoooooooooooooAAoCDoEEoCDooooCDo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,C^3,D^3,A>4\n"]}} {"board": "oooBooAAoBoooooBCCooDDEoFoooEoFoooEo", "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: oooBooAAoBoooooBCCooDDEoFoooEoFoooEo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv2,A>4\n"]}} {"board": "ooooBCooAABCooooBoooooooooooooooooDD", "size": 6, "moves": 3, "solution": ["Bv2", "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: ooooBCooAABCooooBoooooooooooooooooDD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,Bv2,A>2\n"]}} {"board": "BoCCCDBoAAEDooooEoFoooooFooooGooHHHG", "size": 6, "moves": 3, "solution": ["Dv2", "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: BoCCCDBoAAEDooooEoFoooooFooooGooHHHG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv2,Dv1,A>2\n"]}} {"board": "oooooooooooooooooooooBooAAoBCDooooCD", "size": 6, "moves": 4, "solution": ["B^1", "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: oooooooooooooooooooooBooAAoBCDooooCD\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,C^2,D^2,A>4\n"]}} {"board": "oooooBoooooBoAAooBoooooooooooooCCCDD", "size": 6, "moves": 4, "solution": ["C<1", "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: oooooBoooooBoAAooBoooooooooooooCCCDD\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,D<1,Bv3,A>3\n"]}} {"board": "oooBoooooBooAAoBooCDDoooCoooooCooEEo", "size": 6, "moves": 3, "solution": ["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: oooBoooooBooAAoBooCDDoooCoooooCooEEo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<2,Bv3,A>4\n"]}} {"board": "AAoBoCoooBoCoooBoCoooDDooooooooooEEE", "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: AAoBoCoooBoCoooBoCoooDDooooooooooEEE\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,D<2,Bv1,A>4\n"]}} {"board": "ooooBooAAoBoooooBooooCCCooooDDoooooo", "size": 6, "moves": 4, "solution": ["C<2", "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: ooooBooAAoBoooooBooooCCCooooDDoooooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,D<2,Bv2,A>3\n"]}} {"board": "ooooooAAoooBooCCoBoDoEEEoDoooooDoFFF", "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: ooooooAAoooBooCCoBoDoEEEoDoooooDoFFF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv1,A>4\n"]}} {"board": "ooAAoBoCoDDBoCEEoFoCGGHFIIIoHFJJJoHo", "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: ooAAoBoCoDDBoCEEoFoCGGHFIIIoHFJJJoHo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nFv1,Bv1,A>2\n"]}} {"board": "oBoCCCoBAADooBooDEFFGHIEooGHIJKKGHoJ", "size": 6, "moves": 3, "solution": ["Iv1", "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: oBoCCCoBAADooBooDEFFGHIEooGHIJKKGHoJ\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nIv1,Dv1,A>2\n"]}} {"board": "AAoBoCoooBoCoDDooCooooooooooEEoFFFoo", "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: AAoBoCoooBoCoDDooCooooooooooEEoFFFoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>4\n"]}} {"board": "ooooBCoAAoBCDDDoBooooEEEoFFooooooGGG", "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: ooooBCoAAoBCDDDoBooooEEEoFFooooooGGG\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<2,Bv2,Bv2,A>3\n"]}} {"board": "oooBBBoooCCCoooooDoAAooDEEEFFDoooooo", "size": 6, "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 (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBBBoooCCCoooooDoAAooDEEEFFDoooooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,C<1,D^2,A>3\n"]}} {"board": "oooBoooooBooAAoBoooooooCooDDoCoooooC", "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: oooBoooooBooAAoBoooooooCooDDoCoooooC\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv3,A>4\n"]}} {"board": "oooBooAAoBooooooooooCCooDEEFFoDGGooo", "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: oooBooAAoBooooooooooCCooDEEFFoDGGooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,Bv2,A>4\n"]}} {"board": "ooooBooAACBooooCooooDCEoooDoEoFFGGoo", "size": 6, "moves": 4, "solution": ["Cv1", "Ev1", "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: ooooBooAACBooooCooooDCEoooDoEoFFGGoo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Ev1,Bv2,A>3\n"]}} {"board": "oooooooooooooBoooooBCCCooAAoDoooooDo", "size": 6, "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 (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooooooBoooooBCCCooAAoDoooooDo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,C<1,D^2,A>3\n"]}} {"board": "AAoBCooooBCooooBooDDDoooEEEFFFooGGoo", "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: AAoBCooooBCooooBooDDDoooEEEFFFooGGoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>4\n"]}} {"board": "oooBBBCoooooCoooooCAADoEFooDoEFooDoo", "size": 6, "moves": 4, "solution": ["B<3", "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: oooBBBCoooooCoooooCAADoEFooDoEFooDoo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<3,D^3,E^2,A>3\n"]}} {"board": "oooooBCoAAoBCDDooBCoEFFoooEoGGooEooo", "size": 6, "moves": 3, "solution": ["G<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: oooooBCoAAoBCDDooBCoEFFoooEoGGooEooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,Bv2,A>2\n"]}} {"board": "AABoooooBoooCCBDDDooEooooFEGGooFoHHH", "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: AABoooooBoooCCBDDDooEooooFEGGooFoHHH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,Bv1,A>4\n"]}} {"board": "ooooooooBBBooCoDoooCoDoEAAoDoEooooFF", "size": 6, "moves": 4, "solution": ["B<2", "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: ooooooooBBBooCoDoooCoDoEAAoDoEooooFF\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,D^1,E^1,A>4\n"]}} {"board": "BoooooBoooCoBAAoCDoEFFoDoEGGGDoooooo", "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: BoooooBoooCoBAAoCDoEFFoDoEGGGDoooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,Dv1,A>3\n"]}} {"board": "BoCCCDBAAooDoooEEDoFooGGHFooooHFIIIo", "size": 6, "moves": 3, "solution": ["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: BoCCCDBAAooDoooEEDoFooGGHFooooHFIIIo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,Dv2,A>3\n"]}} {"board": "ooAABoooooBoooooCoooooCoooDDCooooooo", "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: ooAABoooooBoooooCoooooCoooDDCooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Bv1,A>2\n"]}} {"board": "BCooooBCoDoooCoDooEAAoFGEoooFGoHHoFo", "size": 6, "moves": 3, "solution": ["F^3", "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: BCooooBCoDoooCoDooEAAoFGEoooFGoHHoFo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^3,G^2,A>3\n"]}} {"board": "oooooooooBoooAABoCoDDDoCoooEoooFFEoo", "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: oooooooooBoooAABoCoDDDoCoooEoooFFEoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,C^2,A>3\n"]}} {"board": "oooBBBoooCCCooooooAAooDoooooDoEEEoDo", "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: oooBBBoooCCCooooooAAooDoooooDoEEEoDo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,C<2,D^3,A>4\n"]}} {"board": "oBoooooBoCooDooCooDAACoEFFFooEoooooE", "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: oBoooooBoCooDooCooDAACoEFFFooEoooooE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,E^3,A>3\n"]}} {"board": "oooooooooBBBoAAooCoDEEoCFDoooCFDoGGG", "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: oooooooooBBBoAAooCoDEEoCFDoooCFDoGGG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,Cv1,A>3\n"]}} {"board": "oooBBBCDoEoFCDoEoFCDAAGoooooGooHHoGo", "size": 6, "moves": 3, "solution": ["B<2", "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: oooBBBCDoEoFCDoEoFCDAAGoooooGooHHoGo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,G^3,A>2\n"]}} {"board": "AABoooooBCCDEFBooDEFGGGooHHIIIJJJooo", "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: AABoooooBCCDEFBooDEFGGGooHHIIIJJJooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nG>1,Bv1,A>4\n"]}} {"board": "oooooooooBBBoCooooDCoooEDoAAoEDooooE", "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: oooooooooBBBoCooooDCoooEDoAAoEDooooE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,E^2,A>2\n"]}} {"board": "BooCCCBAAoDoBEFFDoGEoHHoGEIJJJGoIoKK", "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: BooCCCBAAoDoBEFFDoGEoHHoGEIJJJGoIoKK\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nH<1,Dv1,A>3\n"]}} {"board": "oooBBBAAoCoooDoCoooDEEoooFoooooFoGGo", "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: oooBBBAAoCoooDoCoooDEEoooFoooooFoGGo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE>2,Cv1,A>4\n"]}} {"board": "BoooCDBoAACDoEFGCDHEFGooHEoGooHIIJJJ", "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: BoooCDBoAACDoEFGCDHEFGooHEoGooHIIJJJ\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,Cv2,A>2\n"]}} {"board": "oAAoBoCCooBooDDoEEoFoGooHFoGooHooGII", "size": 6, "moves": 4, "solution": ["D<1", "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: oAAoBoCCooBooDDoEEoFoGooHFoGooHooGII\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,E<2,Bv1,A>3\n"]}} {"board": "ooooBooAAoBoooooBoCDEEEFCDoooFCooooo", "size": 6, "moves": 4, "solution": ["Dv1", "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: ooooBooAAoBoooooBoCDEEEFCDoooFCooooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,D<1,Bv2,A>3\n"]}} {"board": "ooBoooooBCCCoAAoDoEFGGDHEFooDHEFoIIH", "size": 6, "moves": 3, "solution": ["I<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: ooBoooooBCCCoAAoDoEFGGDHEFooDHEFoIIH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nI<1,Dv1,A>3\n"]}} {"board": "oBoooooBoCCCoBoooooooooDooooEDooAAED", "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: oBoooooBoCCCoBoooooooooDooooEDooAAED\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E^1,A>2\n"]}} {"board": "ooBCCCooBooDAAoooDoooooEoooooEoooooE", "size": 6, "moves": 4, "solution": ["Bv3", "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: ooBCCCooBooDAAoooDoooooEoooooEoooooE\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv3,B<1,C^1,A>4\n"]}} {"board": "oooooBoCCCoBooAAoBoooooooooDDooEEFFF", "size": 6, "moves": 4, "solution": ["E<1", "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: oooooBoCCCoBooAAoBoooooooooDDooEEFFF\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,F<1,Bv3,A>2\n"]}} {"board": "ooooooooBBBCooAADCEoooDCEFFoooooGGoo", "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: ooooooooBBBCooAADCEoooDCEFFoooooGGoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,Cv1,A>2\n"]}} {"board": "ooooooBoooooBoooooBoCDooooCDEoAACDEo", "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: ooooooBoooooBoooooBoCDooooCDEoAACDEo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^1,E^1,A>4\n"]}} {"board": "ooooooBBBooCoooDoCAAoDoCoooEEEFFFooo", "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: ooooooBBBooCoooDoCAAoDoCoooEEEFFFooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^1,A>4\n"]}} {"board": "ooAABoooooBooCDDDooCoEEEFoGGHHFooIII", "size": 6, "moves": 4, "solution": ["C^2", "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: ooAABoooooBooCDDDooCoEEEFoGGHHFooIII\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,D<1,Cv1,A>2\n"]}} {"board": "ooBoooCDBEooCDoEooCooEFooGAAFHoGoooH", "size": 6, "moves": 3, "solution": ["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: ooBoooCDBEooCDoEooCooEFooGAAFHoGoooH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,H^2,A>2\n"]}} {"board": "oooooBoooCoBDDDCoEoFAAGEHFooGoHFoooo", "size": 6, "moves": 3, "solution": ["Ev2", "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: oooooBoooCoBDDDCoEoFAAGEHFooGoHFoooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv2,F^2,A>2\n"]}} {"board": "ooooBCooAABCoDDDoCEoooooEooooooooooo", "size": 6, "moves": 3, "solution": ["Bv2", "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: ooooBCooAABCoDDDoCEoooooEooooooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,Bv2,A>2\n"]}} {"board": "oooBBBCooooDCooooDooAAEDooooEoooooEo", "size": 6, "moves": 4, "solution": ["B<2", "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: oooBBBCooooDCooooDooAAEDooooEoooooEo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,D^1,E^3,A>2\n"]}} {"board": "oBBBooCDoEEECDAAoFoDGGoFHHHoIIoJJKKK", "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: oBBBooCDoEEECDAAoFoDGGoFHHHoIIoJJKKK\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,F^2,A>2\n"]}} {"board": "oooooBooAAoBoooCCCoDoooooDoooEoDFFoE", "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: oooooBooAAoBoooCCCoDoooooDoooEoDFFoE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,Bv2,A>2\n"]}} {"board": "BBBCCCoooDoooAADoooooDoEooFooEooFGGG", "size": 6, "moves": 4, "solution": ["F^1", "G<3", "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: BBBCCCoooDoooAADoooooDoEooFooEooFGGG\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,G<3,Dv2,A>3\n"]}} {"board": "oBoooCoBAAoCoooDDDEooFFFEGGGooEooHHo", "size": 6, "moves": 4, "solution": ["D<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: oBoooCoBAAoCoooDDDEooFFFEGGGooEooHHo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,F<1,Cv2,A>2\n"]}} {"board": "AAooBCooDDBCoEoFBoGEHFooGEHIIIGoJJJo", "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: AAooBCooDDBCoEoFBoGEHFooGEHIIIGoJJJo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>4\n"]}} {"board": "oooBBBooCoooooCDDDEEEooFAAoooFoooooF", "size": 6, "moves": 4, "solution": ["C^1", "D<1", "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: oooBBBooCoooooCDDDEEEooFAAoooFoooooF\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D<1,F^2,A>4\n"]}} {"board": "AAoBooCCoBooooDDEEFoGHHoFoGIIIFoGJJJ", "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: AAoBooCCoBooooDDEEFoGHHoFoGIIIFoGJJJ\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv1,A>4\n"]}} {"board": "oooooooooooooooooooooooBooAACBooooCB", "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: oooooooooooooooooooooooBooAACBooooCB\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^2,C^2,A>2\n"]}} {"board": "BoooooBooooooooooCAAooDCoEFFDooEoGGG", "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: BoooooBooooooooooCAAooDCoEFFDooEoGGG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^2,A>4\n"]}} {"board": "ooBoooooBoooAABoooCoooDECoooDECFFooE", "size": 6, "moves": 3, "solution": ["F>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: ooBoooooBoooAABoooCoooDECoooDECFFooE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF>2,Bv3,A>4\n"]}} {"board": "ooBBBCoDEEECoDoAACoDooooFooGGGFHHooo", "size": 6, "moves": 3, "solution": ["G<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: ooBBBCoDEEECoDoAACoDooooFooGGGFHHooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,Cv3,A>1\n"]}} {"board": "oooooBoCoAABDCoooBDCEoFFooEoGGooEHHH", "size": 6, "moves": 4, "solution": ["F<1", "G<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: oooooBoCoAABDCoooBDCEoFFooEoGGooEHHH\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,G<1,Bv2,A>1\n"]}} {"board": "ooBooCooBooCooAAoDoooEEDoooooDoooFFF", "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: ooBooCooBooCooAAoDoooEEDoooooDoooFFF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Dv1,A>2\n"]}} {"board": "ooBAACooBooCDDoEoCoooEoFoooEoFoooooo", "size": 6, "moves": 3, "solution": ["Fv1", "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: ooBAACooBooCDDoEoCoooEoFoooEoFoooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nFv1,Cv1,A>1\n"]}} {"board": "oBoAACoBDDECFBGHECFoGHoIFoGooIoJJJoo", "size": 6, "moves": 3, "solution": ["Iv1", "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: oBoAACoBDDECFBGHECFoGHoIFoGooIoJJJoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nIv1,Cv1,A>1\n"]}} {"board": "oBoooCDBoAACDBoooCEFoGGoEFooHHEFoIII", "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: oBoooCDBoAACDBoooCEFoGGoEFooHHEFoIII\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nH<1,Cv2,A>1\n"]}} {"board": "oooooooooooooooBBBoCCCDEFFFoDEoAAooE", "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: oooooooooooooooBBBoCCCDEFFFoDEoAAooE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,E^1,A>3\n"]}} {"board": "BCAADoBCooDoBEEoDoFoGHHHFIGoJJFIooKK", "size": 6, "moves": 4, "solution": ["Gv1", "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: BCAADoBCooDoBEEoDoFoGHHHFIGoJJFIooKK\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nGv1,G<2,Dv1,A>2\n"]}} {"board": "ooooBooAAoBoooCoDDooCoooooCoooooooEE", "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: ooooBooAAoBoooCoDDooCoooooCoooooooEE\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,C<2,Bv2,A>3\n"]}} {"board": "AAoBoCooDBECooDBEoFoDoGGFoHHooFIIIJJ", "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: AAoBoCooDBECooDBEoFoDoGGFoHHooFIIIJJ\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>4\n"]}} {"board": "ooBBBoooooooCoooooCooDooCAADEooooDEo", "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: ooBBBoooooooCoooooCooDooCAADEooooDEo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,E^2,A>3\n"]}} {"board": "oooBoooooBoooooCoooAACoDoooooDoooooo", "size": 6, "moves": 3, "solution": ["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: oooBoooooBoooooCoooAACoDoooooDoooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,C^2,A>3\n"]}} {"board": "ooooBooAAoBooCCCooDooEEoDooooooooooo", "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: ooooBooAAoBooCCCooDooEEoDooooooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv2,A>3\n"]}} {"board": "ooooBooAAoBoCCooDDooooooooEoooooEooo", "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: ooooBooAAoBoCCooDDooooooooEoooooEooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<2,Bv2,A>3\n"]}} {"board": "oooooBooCooBooCooBAACDoooooDEooooDEo", "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: oooooBooCooBooCooBAACDoooooDEooooDEo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^3,A>4\n"]}} {"board": "oooooooAAoBoooooBooCCoBoDDoEEooooFFF", "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: oooooooAAoBoooooBooCCoBoDDoEEooooFFF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv1,A>3\n"]}} {"board": "BoAAoCBooooCDEoFFGDEoooGDEoooGooooHH", "size": 6, "moves": 4, "solution": ["H<1", "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: BoAAoCBooooCDEoFFGDEoooGDEoooGooooHH\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nH<1,Gv1,Cv1,A>2\n"]}} {"board": "oooooooooBBBooAACoooooCooDDDCoooooEE", "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: oooooooooBBBooAACoooooCooDDDCoooooEE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<2,Cv1,A>2\n"]}} {"board": "oooBoooAABoooCCCooooooDoooooDooooooo", "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: oooBoooAABoooCCCooooooDoooooDooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,Bv2,A>3\n"]}} {"board": "oooooooooBoooooBooooCBooooCooDAACooD", "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: oooooooooBoooooBooooCBooooCooDAACooD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^1,A>4\n"]}} {"board": "BoooooBoooCDooooCDAAEoCDooEoFFoooGGG", "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: BoooooBoooCDooooCDAAEoCDooEoFFoooGGG\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^1,E^2,A>4\n"]}} {"board": "oooBoooooBooAAoBCoDoEoCoDFEoGGDFoooo", "size": 6, "moves": 3, "solution": ["Bv3", "B^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: oooBoooooBooAAoBCoDoEoCoDFEoGGDFoooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv3,B^2,A>4\n"]}} {"board": "oAAoBoooooBCDEEoBCDooFFCGoHIIIGoHooo", "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: oAAoBoooooBCDEEoBCDooFFCGoHIIIGoHooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Bv1,A>3\n"]}} {"board": "ooooooBCoDDDBCooooBCoooEooFAAEooFooE", "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: ooooooBCoDDDBCooooBCoooEooFAAEooFooE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,E^2,A>1\n"]}} {"board": "oBBBooooooooooooooooooCDoooECDoAAECD", "size": 6, "moves": 4, "solution": ["C^1", "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: oBBBooooooooooooooooooCDoooECDoAAECD\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^1,E^1,A>3\n"]}} {"board": "oooooBAAoCoBoooCoBoooooooooooooooooo", "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: oooooBAAoCoBoooCoBoooooooooooooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,Bv1,A>4\n"]}} {"board": "ooBBBooooooCDooooCDAAEooDooEFooooEFo", "size": 6, "moves": 3, "solution": ["B<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: ooBBBooooooCDooooCDAAEooDooEFooooEFo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,E^3,A>3\n"]}} {"board": "oooBBBoooCCCDoooEoDFFFEooAAGoooooGoo", "size": 6, "moves": 4, "solution": ["D^1", "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: oooBBBoooCCCDoooEoDFFFEooAAGoooooGoo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,F<1,G^2,A>3\n"]}} {"board": "ooooooBBBooooCCCooooooDEooooDEAAooDE", "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: ooooooBBBooooCCCooooooDEooooDEAAooDE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E^1,A>4\n"]}} {"board": "oooBoooAABoCDDoooCoooooCoooEEEoooooo", "size": 6, "moves": 4, "solution": ["Bv2", "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: oooBoooAABoCDDoooCoooooCoooEEEoooooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,E<1,Bv1,A>3\n"]}} {"board": "BooCCCBoDDDooEoFFFGEAAoHGEoooHGIIooH", "size": 6, "moves": 4, "solution": ["C<1", "F<1", "H^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: BooCCCBoDDDooEoFFFGEAAoHGEoooHGIIooH\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,F<1,H^3,A>2\n"]}} {"board": "BBBCoooAACoooooCoooooDDooooooooEEoFF", "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: BBBCoooAACoooooCoooooDDooooooooEEoFF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<2,Cv2,A>3\n"]}} {"board": "ooBCCCAABoooooBDDooEEEoooFoooooFoGGG", "size": 6, "moves": 3, "solution": ["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: ooBCCCAABoooooBDDooEEEoooFoooooFoGGG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE>2,Bv2,A>4\n"]}} {"board": "BoooooBoCCCoBooDDDooEoooAAEoooooEFFF", "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: BoooooBoCCCoBooDDDooEoooAAEoooooEFFF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC>1,E^2,A>4\n"]}} {"board": "oooBooAAoBoCoooBoCooooDDoEEooFoooooF", "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: oooBooAAoBoCoooBoCooooDDoEEooFoooooF\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<3,Bv2,Bv1,A>4\n"]}} {"board": "ooBBBoooooCooAAoCoooooCooooDDDoooooo", "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: ooBBBoooooCooAAoCoooooCooooDDDoooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<2,Cv2,A>3\n"]}} {"board": "ooBBBoooooCoooooCoAAooCooDDoooooEEoo", "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: ooBBBoooooCoooooCoAAooCooDDoooooEEoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,C^1,A>4\n"]}} {"board": "oooBBBCCCoDEFAAoDEFGGGHHFooIIoooJJJo", "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: oooBBBCCCoDEFAAoDEFGGGHHFooIIoooJJJo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,D^1,E^1,A>3\n"]}} {"board": "BBBCoooAACoooooCDEoFFFDEGHHooEGooooo", "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: BBBCoooAACoooooCDEoFFFDEGHHooEGooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Cv2,A>3\n"]}} {"board": "oooBBBCCCoDEoAAoDEFGHIIoFGHJJJoGHKKK", "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: oooBBBCCCoDEoAAoDEFGHIIoFGHJJJoGHKKK\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,D^1,E^1,A>3\n"]}} {"board": "ooooooooooooBooCCCBooDooAAoDoooooDoo", "size": 6, "moves": 4, "solution": ["B^2", "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: ooooooooooooBooCCCBooDooAAoDoooooDoo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^2,C<3,D^2,A>4\n"]}} {"board": "oooooooooooooooBBBoCAADooCooDooCEEDo", "size": 6, "moves": 3, "solution": ["B<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: oooooooooooooooBBBoCAADooCooDooCEEDo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,D^3,A>2\n"]}} {"board": "BBBooooooooooooCCCooooDoooAADoooooDo", "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: BBBooooooooooooCCCooooDoooAADoooooDo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,D^2,A>2\n"]}} {"board": "AAoBoooCCBoooooBoooDoEEEoDooooooFFoo", "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: AAoBoooCCBoooooBoooDoEEEoDooooooFFoo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,D<3,Bv1,A>4\n"]}} {"board": "AAoooBoCCooBoDDoEEFGGHHHFoooIIJJJoKK", "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: AAoooBoCCooBoDDoEEFGGHHHFoooIIJJJoKK\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv1,A>4\n"]}} {"board": "AAooBoooooBooooCCCooDDoooooooooooooo", "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: AAooBoooooBooooCCCooDDoooooooooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,Bv1,A>4\n"]}} {"board": "BoAACDBoooCDBEEEooFFFGoHIIIGJHoooGJH", "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: BoAACDBoooCDBEEEooFFFGoHIIIGJHoooGJH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Cv1,A>2\n"]}} {"board": "oBAACooBooCoDoEEEoDoFFFGHIIIoGHooJJG", "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: oBAACooBooCoDoEEEoDoFFFGHIIIoGHooJJG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Cv1,A>2\n"]}} {"board": "oBoooCoBoAACoDDooCooooEEoFFoooGGGHHH", "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: oBoooCoBoAACoDDooCooooEEoFFoooGGGHHH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Cv2,A>1\n"]}} {"board": "oooooooooooooooBoooooBCooAABCooooooo", "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: oooooooooooooooBoooooBCooAABCooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,C^1,A>3\n"]}} {"board": "ooooooooooBoooooBCoAAoDCooooDCoooooo", "size": 6, "moves": 3, "solution": ["C^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: ooooooooooBoooooBCoAAoDCooooDCoooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,Dv1,A>3\n"]}} {"board": "oooooBooAAoBooCoDDooCoooooooooEEEFFo", "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: oooooBooAAoBooCoDDooCoooooooooEEEFFo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv2,A>2\n"]}} {"board": "AAooBCoDEFBCoDEFBoGGHFoIJoHKKIJoHLLL", "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: AAooBCoDEFBCoDEFBoGGHFoIJoHKKIJoHLLL\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>4\n"]}} {"board": "oAABoooooBoCoooBoCDoEEECDoooooDooFFo", "size": 6, "moves": 4, "solution": ["D^3", "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: oAABoooooBoCoooBoCDoEEECDoooooDooFFo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^3,E<2,Cv1,A>3\n"]}} {"board": "oooBoCoooBoCoAAooCooooooDDEoooooEoFF", "size": 6, "moves": 3, "solution": ["F<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: oooBoCoooBoCoAAooCooooooDDEoooooEoFF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Cv3,A>3\n"]}} {"board": "oooAABoCoooBoCooDDoCoEooFFoEoGoooEoG", "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: oooAABoCoooBoCooDDoCoEooFFoEoGoooEoG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv1,A>1\n"]}} {"board": "ooAAoBoCCooBoooDDDooEFFFGHEIIIGHEJJJ", "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: ooAAoBoCCooBoooDDDooEFFFGHEIIIGHEJJJ\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv1,A>2\n"]}} {"board": "ooooooBBBooooooCCCAAoooDoooooDoooooD", "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: ooooooBBBooooooCCCAAoooDoooooDoooooD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,D^3,A>4\n"]}} {"board": "oooBBBooooCoDoooCoDoooCoDoooEoooAAEo", "size": 6, "moves": 4, "solution": ["B<2", "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: oooBBBooooCoDoooCoDoooCoDoooEoooAAEo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,C^1,E^1,A>2\n"]}} {"board": "ooooooooooooooooooAAoBCooDDBCEoooBCE", "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: ooooooooooooooooooAAoBCooDDBCEoooBCE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^3,C^3,A>4\n"]}} {"board": "oBCCCDoBEEEDFBAAoDFGHHooIGoJJoIGooKK", "size": 6, "moves": 3, "solution": ["K<1", "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: oBCCCDoBEEEDFBAAoDFGHHooIGoJJoIGooKK\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nK<1,Dv3,A>2\n"]}} {"board": "oooBBBoAACoDoEoCFDGEoCFDGHHoFoGIIIJJ", "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: oooBBBoAACoDoEoCFDGEoCFDGHHoFoGIIIJJ\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Cv1,A>3\n"]}} {"board": "BoooooBAACDooooCDoooECDoooEoooooEooo", "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: BoooooBAACDooooCDoooECDoooEoooooEooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Cv1,A>3\n"]}} {"board": "AAoBCDoooBCDEoFoCDEGFoooEGoooooGoHHH", "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: AAoBCDoooBCDEoFoCDEGFoooEGoooooGoHHH\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,Bv1,A>4\n"]}} {"board": "oooooBoCDDDBoCoAAEoCoooEoFFGGGoooHHH", "size": 6, "moves": 4, "solution": ["F<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: oooooBoCDDDBoCoAAEoCoooEoFFGGGoooHHH\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,G<1,Ev1,A>1\n"]}} {"board": "ooooBoooooBooooCCCoDoooEoDoooEoooAAE", "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: ooooBoooooBooooCCCoDoooEoDoooEoooAAE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,E^1,A>1\n"]}} {"board": "AAoooBoooooBooooCCDEEooFDooooFDoGGoo", "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: AAoooBoooooBooooCCDEEooFDooooFDoGGoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,Bv1,A>4\n"]}} {"board": "BAACDoBooCDoEEFoDoGHFIooGHFIJKGHoIJK", "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: BAACDoBooCDoEEFoDoGHFIooGHFIJKGHoIJK\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Cv1,A>3\n"]}} {"board": "oAAoBCooDDBCEFFooCEooGGGoooHHHIIoJJo", "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: oAAoBCooDDBCEFFooCEooGGGoooHHHIIoJJo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,G<1,Bv1,A>3\n"]}} {"board": "ooooBoooooBooooooCooDooCooDoEoAADoEo", "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: ooooBoooooBooooooCooDooCooDoEoAADoEo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E^1,A>4\n"]}} {"board": "ooBCooAABCooDooCooDEoooooEFFoooEoGGG", "size": 6, "moves": 4, "solution": ["Bv2", "F>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: ooBCooAABCooDooCooDEoooooEFFoooEoGGG\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,F>2,Bv2,A>4\n"]}} {"board": "oooooooooBBBCoooooCooooDCooAADEEEFFD", "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: oooooooooBBBCoooooCooooDCooAADEEEFFD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,D^2,A>1\n"]}} {"board": "ooooooBoooooBooCCCBAAoDEooooDEooooDE", "size": 6, "moves": 4, "solution": ["C<2", "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: ooooooBoooooBooCCCBAAoDEooooDEooooDE\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,D^3,E^3,A>3\n"]}} {"board": "BooooCBoAAoCoooDDooEEEFFooGHHHooGoII", "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: BooooCBoAAoCoooDDooEEEFFooGHHHooGoII\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,F<1,Cv2,A>2\n"]}} {"board": "oooooooooBoooAABoooooBoCoooDDCoooooC", "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: oooooooooBoooAABoooooBoCoooDDCoooooC\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<2,Bv2,A>3\n"]}} {"board": "oBoooooBAACooBooCoooooCooooDDDoooooo", "size": 6, "moves": 3, "solution": ["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: oBoooooBAACooBooCoooooCooooDDDoooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<2,Cv1,A>2\n"]}} {"board": "ooooooooooooBoooooBooCoDBooCoDAAoCoD", "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: ooooooooooooBoooooBooCoDBooCoDAAoCoD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^1,A>4\n"]}} {"board": "ooooooBCAADoBCooDoBCooDoooooEEoooooo", "size": 6, "moves": 3, "solution": ["E<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: ooooooBCAADoBCooDoBCooDoooooEEoooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<2,Dv1,A>2\n"]}} {"board": "BoCoooBoCDDDBoooooooooEoAAooEoooooEo", "size": 6, "moves": 4, "solution": ["Cv2", "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: BoCoooBoCDDDBoooooooooEoAAooEoooooEo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,C<2,E^2,A>4\n"]}} {"board": "oooooooooooooAAoBCoooDBCoooDBCoEEDoo", "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: oooooooooooooAAoBCoooDBCoooDBCoEEDoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>3\n"]}} {"board": "ooooooooooBooooCBooAACBooooCoooooooo", "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: ooooooooooBooooCBooAACBooooCoooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,C^2,A>3\n"]}} {"board": "oooBoCDooBoCDoAAoCooooEEoooooooooooo", "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: oooBoCDooBoCDoAAoCooooEEoooooooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Cv3,A>2\n"]}} {"board": "oooooooooBBBoooooooAAooCoooooCDDoooC", "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: oooooooooBBBoooooooAAooCoooooCDDoooC\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,C^3,A>3\n"]}} {"board": "AABCoDooBCoDooBoEoFFooEoooGGEoHHHIII", "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: AABCoDooBCoDooBoEoFFooEoooGGEoHHHIII\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,Bv1,A>4\n"]}} {"board": "AAooBoooCCBooDDDBooooEEEFooGGGFoooHH", "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: AAooBoooCCBooDDDBooooEEEFooGGGFoooHH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<2,Bv1,A>4\n"]}} {"board": "oooBooAAoBooCCoDooEEoDoooooooooFFFGG", "size": 6, "moves": 4, "solution": ["F<1", "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: oooBooAAoBooCCoDooEEoDoooooooooFFFGG\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Dv2,Bv2,A>4\n"]}} {"board": "BAAooCBoDDoCBEoFFFGEHIIIGEHJJJGoHoKK", "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: BAAooCBoDDoCBEoFFFGEHIIIGEHJJJGoHoKK\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Cv1,A>3\n"]}} {"board": "oooooooBoooooBCCCooDEooooDEFFFAAEooo", "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: oooooooBoooooBCCCooDEooooDEFFFAAEooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC>1,E^1,A>4\n"]}} {"board": "oooooBoooCoBAAoCoDoooCEDooooEoooooEo", "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: oooooBoooCoBAAoCoDoooCEDooooEoooooEo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,Cv1,A>4\n"]}} {"board": "ooooooAABoooooBoooCDDDooCooEEoCooFFo", "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: ooooooAABoooooBoooCDDDooCooEEoCooFFo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD>2,Bv1,A>4\n"]}} {"board": "BBBoooooooCoooooCoooooDoooooDoooAADo", "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: BBBoooooooCoooooCoooooDoooooDoooAADo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^1,A>2\n"]}} {"board": "oBooooCBooooCoooDoooEoDFAAEoDFGGGooF", "size": 6, "moves": 4, "solution": ["D^1", "E^1", "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: oBooooCBooooCoooDoooEoDFAAEoDFGGGooF\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E^1,F^2,A>4\n"]}} {"board": "ooooBoooAABoCCoooooooDDDoooEEEoooooo", "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: ooooBoooAABoCCoooooooDDDoooEEEoooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<2,Bv2,A>2\n"]}} {"board": "ooooooooooooAAooBCoDoEBCFDoEooFDGGoo", "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: ooooooooooooAAooBCoDoEBCFDoEooFDGGoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^2,C^2,A>4\n"]}} {"board": "BoAAoCBDDooCoooEEEoFoGGGoFHHIIoFoooo", "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: BoAAoCBDDooCoooEEEoFoGGGoFHHIIoFoooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Cv1,A>2\n"]}} {"board": "AABoooooBooooCDooooCDoooooooooooEEEo", "size": 6, "moves": 3, "solution": ["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: AABoooooBooooCDooooCDoooooooooooEEEo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,Bv1,A>4\n"]}} {"board": "oooBoooAABoooooBooooCCCoooooooooDDoo", "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: oooBoooAABoooooBooooCCCoooooooooDDoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,Bv2,A>3\n"]}} {"board": "oooBoooooBoooCCCoooooDoooooDooAAoDoo", "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: oooBoooooBoooCCCoooooDoooooDooAAoDoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,D^1,A>4\n"]}} {"board": "ooBCooAABCoooDoooooDoooooDooEEoooooo", "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: ooBCooAABCoooDoooooDoooooDooEEoooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,Bv2,A>4\n"]}} {"board": "AABCooooBCDoooBoDooooEFFGGoEooHHHEoo", "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: AABCooooBCDoooBoDooooEFFGGoEooHHHEoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>4\n"]}} {"board": "ooooooooooooooooooooBBBoooooCoooAACo", "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: ooooooooooooooooooooBBBoooooCoooAACo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,C^1,A>2\n"]}} {"board": "ooBBBoCDEoooCDEoFooDAAFGHHooFGoooIII", "size": 6, "moves": 4, "solution": ["B<1", "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: ooBBBoCDEoooCDEoFooDAAFGHHooFGoooIII\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,F^2,G^2,A>2\n"]}} {"board": "ooooooooooBoooooBCAAooBCooooDCooooDo", "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: ooooooooooBoooooBCAAooBCooooDCooooDo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,C^2,A>4\n"]}} {"board": "ooBCCCAABDooooBDoooEoDoooEoooooEoFFo", "size": 6, "moves": 3, "solution": ["Bv2", "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: ooBCCCAABDooooBDoooEoDoooEoooooEoFFo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,Cv1,A>4\n"]}} {"board": "oooBBBooooCoooooCooAAoCooooooooooooo", "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: oooBBBooooCoooooCooAAoCooooooooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,C^1,A>3\n"]}} {"board": "BooooCBAAooCBoooDDoEoFoooEoFoooEoFoo", "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: BooooCBAAooCBoooDDoEoFoooEoFoooEoFoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Cv2,A>3\n"]}} {"board": "BAAooCBDoooCBDoooCoDoEEEooFFFooGGGHH", "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: BAAooCBDoooCBDoooCoDoEEEooFFFooGGGHH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Cv1,A>3\n"]}} {"board": "oooBoooooBoooCoDooECoDoFEoooGFoAAoGF", "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: oooBoooooBoooCoDooECoDoFEoooGFoAAoGF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,G^1,A>3\n"]}} {"board": "ooAABCoDDDBCoooEEEFoooooFoGGooFooooo", "size": 6, "moves": 4, "solution": ["E<2", "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: ooAABCoDDDBCoooEEEFoooooFoGGooFooooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<2,Bv1,Bv1,A>2\n"]}} {"board": "BoooooBoooooooCDDDAACEoooooEoooooEoo", "size": 6, "moves": 4, "solution": ["C^2", "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: BoooooBoooooooCDDDAACEoooooEoooooEoo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,D<3,E^3,A>4\n"]}} {"board": "ooooBooooCBooAACBooooCooDoooooDooooo", "size": 6, "moves": 3, "solution": ["Bv3", "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: ooooBooooCBooAACBooooCooDoooooDooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv3,Bv2,A>3\n"]}} {"board": "oBBBoCDoooECDAAoECDooFFFGGoooooooooo", "size": 6, "moves": 4, "solution": ["E^1", "F<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: oBBBoCDoooECDAAoECDooFFFGGoooooooooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,F<1,Dv3,A>3\n"]}} {"board": "ooooBoAAooBooCCoooooooDoooooDooEEooo", "size": 6, "moves": 3, "solution": ["Dv1", "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: ooooBoAAooBooCCoooooooDoooooDooEEooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,Bv2,A>4\n"]}} {"board": "oooooooooooBoooooBCAADoBCooDEECooFFF", "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: oooooooooooBoooooBCAADoBCooDEECooFFF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,D^2,A>3\n"]}} {"board": "ooBoooAABoCoooooCoDDEoooooEooooooooo", "size": 6, "moves": 4, "solution": ["Cv1", "Ev1", "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: ooBoooAABoCoooooCoDDEoooooEooooooooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Ev1,Bv2,A>4\n"]}} {"board": "oBBBCoooooCoAADoCoooDooooooooooooooo", "size": 6, "moves": 3, "solution": ["Cv3", "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: oBBBCoooooCoAADoCoooDooooooooooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv3,Cv1,A>4\n"]}} {"board": "oooooBoAAooBoCCCoBoooooooooDDDooooEE", "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: oooooBoAAooBoCCCoBoooooooooDDDooooEE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv2,A>3\n"]}} {"board": "oooooBooooCBAAooCBooooCooooooooooooo", "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: oooooBooooCBAAooCBooooCooooooooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv3,Bv2,A>4\n"]}} {"board": "oooooooooBBBoooooooooCooAAoCoooDDCoo", "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: oooooooooBBBoooooooooCooAAoCoooDDCoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<3,C^2,A>4\n"]}} {"board": "oAAoBoCCooBoooooDEoFFFDEooooDEoooGGG", "size": 6, "moves": 4, "solution": ["G<2", "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: oAAoBoCCooBoooooDEoFFFDEooooDEoooGGG\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<2,Dv1,Bv1,A>3\n"]}} {"board": "oBoooooBoCCCoooooooooAADEEoooDoooooD", "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: oBoooooBoCCCoooooooooAADEEoooDoooooD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,D^3,A>1\n"]}} {"board": "BoooooBoooooBoooooooCCCoooAADoooooDo", "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: BoooooBoooooBoooooooCCCoooAADoooooDo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,D^2,A>2\n"]}} {"board": "oooooooooBBBCCCoooAAooDooEEoDoooooDo", "size": 6, "moves": 3, "solution": ["B<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: oooooooooBBBCCCoooAAooDooEEoDoooooDo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,D^3,A>4\n"]}} {"board": "oooBBBooCCCooAAoDoooooDooooEEEFFFooo", "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: oooBBBooCCCooAAoDoooooDooooEEEFFFooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<2,Dv1,A>3\n"]}} {"board": "AAoBoooooBoooooBCCoooDoEoooDoEoooooo", "size": 6, "moves": 3, "solution": ["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: AAoBoooooBoooooBCCoooDoEoooDoEoooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,Bv1,A>4\n"]}} {"board": "ooBoooooBoooooBoCDooAACDoEEFCDoooFoo", "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: ooBoooooBoooooBoCDooAACDoEEFCDoooFoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,D^2,A>2\n"]}} {"board": "BBBooooCoDDDoCoooEoCFAAEooFGoEooFGoo", "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: BBBooooCoDDDoCoooEoCFAAEooFGoEooFGoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,E^2,A>1\n"]}} {"board": "ooooooooooooooBoCoooBoCDAAooCDoooEEE", "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: ooooooooooooooBoCoooBoCDAAooCDoooEEE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^1,A>4\n"]}} {"board": "BoooooBoooooBooooCAAoDoCoooDoCoooDoo", "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: BoooooBoooooBooooCAAoDoCoooDoCoooDoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,D^3,A>4\n"]}} {"board": "AABooCDDBooCoEBooooEoFFoGoHHooGooIII", "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: AABooCDDBooCoEBooooEoFFoGoHHooGooIII\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>4\n"]}} {"board": "ooooBoooooBoCoooooCooDDDCAAooEoooooE", "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: ooooBoooooBoCoooooCooDDDCAAooEoooooE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,E^2,A>3\n"]}} {"board": "oBoooooBooCooBDoCEAADFoEooDFGGHHHFoo", "size": 6, "moves": 4, "solution": ["D^2", "E^1", "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: oBoooooBooCooBDoCEAADFoEooDFGGHHHFoo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,E^1,F^3,A>4\n"]}} {"board": "AABoooooBooooCCDDoEoooFFEGoHHHEGoIII", "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: AABoooooBooooCCDDoEoooFFEGoHHHEGoIII\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,Bv1,A>4\n"]}} {"board": "oooooBoAACoBoooCDBoooCDoooEoooooEooo", "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: oooooBoAACoBoooCDBoooCDoooEoooooEooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,Bv1,A>3\n"]}} {"board": "ooBBBCAAooDCEFFFDCEGHHDooGoIIooGoJJJ", "size": 6, "moves": 4, "solution": ["Cv2", "I<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: ooBBBCAAooDCEFFFDCEGHHDooGoIIooGoJJJ\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,I<1,Cv1,A>4\n"]}} {"board": "oAAoBoooooBooooCCDoEoooDoEoooooEoFFF", "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: oAAoBoooooBooooCCDoEoooDoEoooooEoFFF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,Bv1,A>3\n"]}} {"board": "ooooBoCoAABoCooDDoCooooEFooGGEFoooHH", "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: ooooBoCoAABoCooDDoCooooEFooGGEFoooHH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv2,A>2\n"]}} {"board": "ooBBBoooooCoAAoDCoooEDooooEFFooooGGG", "size": 6, "moves": 4, "solution": ["B<2", "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: ooBBBoooooCoAAoDCoooEDooooEFFooooGGG\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,C^1,D^2,A>4\n"]}} {"board": "BBBoooooooooCCCDoooAADEooooDEoooFFEo", "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: BBBoooooooooCCCDoooAADEooooDEoooFFEo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,E^3,A>3\n"]}} {"board": "AAoooBooCDoBEECDoBFFooGGHoIIJJHooooo", "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: AAoooBooCDoBEECDoBFFooGGHoIIJJHooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,Bv1,A>4\n"]}} {"board": "ooooooooBCCCooBoooooBooDooEooDAAEooo", "size": 6, "moves": 3, "solution": ["B^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: ooooooooBCCCooBoooooBooDooEooDAAEooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,E^1,A>4\n"]}} {"board": "BoAACDBEooCDBEooCooEooooFoooGGFoHHHo", "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: BoAACDBEooCDBEooCooEooooFoooGGFoHHHo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Cv1,A>2\n"]}} {"board": "oBoooooBooooooooooAAooCDooooCDooEEoD", "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: oBoooooBooooooooooAAooCDooooCDooEEoD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,D^3,A>4\n"]}} {"board": "oooBCooAABCoooooooooDDoooooooooooooo", "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: oooBCooAABCoooooooooDDoooooooooooooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,D<1,Bv2,A>3\n"]}} {"board": "ooooooooooooAAooBoooooBoooooBooooCCC", "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: ooooooooooooAAooBoooooBoooooBooooCCC\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,Bv1,A>4\n"]}} {"board": "oooBBBooCoDoooCoDEFAAoDEFGGGoHFIIIoH", "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: oooBBBooCoDoooCoDEFAAoDEFGGGoHFIIIoH\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,D^1,E^1,A>3\n"]}} {"board": "AABCooooBCoDoooEEDFFFooDGooHHoGIIJJJ", "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: AABCooooBCoDoooEEDFFFooDGooHHoGIIJJJ\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<3,Bv1,Bv1,A>4\n"]}} {"board": "BoooCoBAADCoBEEDCFGGGDoFoooooFoHHoII", "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: BoooCoBAADCoBEEDCFGGGDoFoooooFoHHoII\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,Cv1,A>3\n"]}} {"board": "BCoooDBCAAoDBCEooFoGEHHFoGoIIIoGoooo", "size": 6, "moves": 4, "solution": ["I<1", "Fv2", "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: BCoooDBCAAoDBCEooFoGEHHFoGoIIIoGoooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nI<1,Fv2,Dv2,A>2\n"]}} {"board": "oBAACDoBooCDEEooCDoFFFooGGGHHoIIoooo", "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: oBAACDoBooCDEEooCDoFFFooGGGHHoIIoooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Cv1,A>2\n"]}} {"board": "oAAoBoCCCoBoDDooEEooFoGHooFoGHooFoGH", "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: oAAoBoCCCoBoDDooEEooFoGHooFoGHooFoGH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<2,Bv1,A>3\n"]}} {"board": "oooAABCCDoEBooDoEFoGHHoFoGooIIJJJKKo", "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: oooAABCCDoEBooDoEFoGHHoFoGooIIJJJKKo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nI<1,Fv1,Bv1,A>1\n"]}} {"board": "AAoBooooCBDDEFCGGoEFoooHIIJJoHoooKKH", "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: AAoBooooCBDDEFCGGoEFoooHIIJJoHoooKKH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nG>1,Bv1,A>4\n"]}} {"board": "ooBBBoCoooooCooDDDCEFFFGoEAAoGoEoooG", "size": 6, "moves": 3, "solution": ["D<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: ooBBBoCoooooCooDDDCEFFFGoEAAoGoEoooG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,G^2,A>2\n"]}} {"board": "BoCoooBoCDDDBAAEFoGGGEFoHHHEoIooJJJI", "size": 6, "moves": 4, "solution": ["Fv1", "J<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: BoCoooBoCDDDBAAEFoGGGEFoHHHEoIooJJJI\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nFv1,J<2,Ev1,A>3\n"]}} {"board": "oooBBBoCDooooCDooEAADooEFFFGGHoIIooH", "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: oooBBBoCDooooCDooEAADooEFFFGGHoIIooH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E^1,A>4\n"]}} {"board": "oooooooooooooBoAACoBDDDCooEEoCFFoGGG", "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: oooooooooooooBoAACoBDDDCooEEoCFFoGGG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,Cv1,A>1\n"]}} {"board": "oooooooooooooooBBBoAACoooooCoooDDCoo", "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: oooooooooooooooBBBoAACoooooCoooDDCoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<3,C^3,A>3\n"]}} {"board": "oBBBoooooCCCooDDDEoooooEoAAooEooFFoo", "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: oBBBoooooCCCooDDDEoooooEoAAooEooFFoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,E^1,A>3\n"]}} {"board": "oooBBBooooooooooooAAooCDEoooCDEooFFD", "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: oooBBBooooooooooooAAooCDEoooCDEooFFD\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,C^2,D^3,A>4\n"]}} {"board": "oAABoCoDEBoCoDEBooooEFFooGGoooHHoooo", "size": 6, "moves": 4, "solution": ["Cv1", "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: oAABoCoDEBoCoDEBooooEFFooGGoooHHoooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,F>1,Bv1,A>3\n"]}} {"board": "ooAABoooCCBoooooBooooDDDoEEooooooFFF", "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: ooAABoooCCBoooooBooooDDDoEEooooooFFF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<2,Bv1,A>2\n"]}} {"board": "ooooBCDDDoBCooooBooooAAEoooooEoooFFF", "size": 6, "moves": 3, "solution": ["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: ooooBCDDDoBCooooBooooAAEoooooEoooFFF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Ev1,A>1\n"]}} {"board": "ooooooAABooCoDBooCoDEooCoDEFFooooooo", "size": 6, "moves": 4, "solution": ["Cv1", "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: ooooooAABooCoDBooCoDEooCoDEFFooooooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Ev1,Bv1,A>4\n"]}} {"board": "oooooooBBBooCCCoooAADoooooDoooooDooo", "size": 6, "moves": 4, "solution": ["B>2", "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: oooooooBBBooCCCoooAADoooooDoooooDooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB>2,C>3,D^3,A>4\n"]}} {"board": "oooooBoooAABoooCCBooooooooooDDoooooo", "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: oooooBoooAABoooCCBooooooooooDDoooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv2,A>1\n"]}} {"board": "BBBCDooooCDooAAoEFGHHoEFGIIIEoGooJJJ", "size": 6, "moves": 4, "solution": ["F^2", "J<2", "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: BBBCDooooCDooAAoEFGHHoEFGIIIEoGooJJJ\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^2,J<2,Fv1,A>3\n"]}} {"board": "oAAoBoCoooBoCDDDEFCoooEFoooGGGoHHHoo", "size": 6, "moves": 4, "solution": ["G<2", "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: oAAoBoCoooBoCDDDEFCoooEFoooGGGoHHHoo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<2,Ev1,Bv1,A>3\n"]}} {"board": "oBoooooBoCCCoBoDDDEoAAoFEooooFGGGooF", "size": 6, "moves": 4, "solution": ["C<1", "D<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: oBoooooBoCCCoBoDDDEoAAoFEooooFGGGooF\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,D<1,F^3,A>2\n"]}} {"board": "BoCCCoBDoEEEBDoFFFooAAoGHHHIJGoooIJG", "size": 6, "moves": 4, "solution": ["E<1", "F<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: BoCCCoBDoEEEBDoFFFooAAoGHHHIJGoooIJG\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,F<1,G^3,A>2\n"]}} {"board": "ooooBCooooBCoAAooCoooDDDoooooooEEoFF", "size": 6, "moves": 4, "solution": ["D<1", "F<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: ooooBCooooBCoAAooCoooDDDoooooooEEoFF\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,F<1,Cv3,A>3\n"]}} {"board": "oooooooooooooooBoooooBoCAAoBoCoooooC", "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: oooooooooooooooBoooooBoCAAoBoCoooooC\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,C^2,A>4\n"]}} {"board": "ooBoCoAABoCooooooooooDDoooooooEEEooo", "size": 6, "moves": 4, "solution": ["D<3", "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: ooBoCoAABoCooooooooooDDoooooooEEEooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<3,Bv2,Bv2,A>4\n"]}} {"board": "ooooBoooAABCoooooCooooooooooooDDoEEE", "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: ooooBoooAABCoooooCooooooooooooDDoEEE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,Bv1,A>2\n"]}} {"board": "oBBBooCCCDoooAADEoFoGoEHFoGoEHFoGooo", "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: oBBBooCCCDoooAADEoFoGoEHFoGoEHFoGooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv2,Dv1,A>3\n"]}} {"board": "BoAACDBoEECDFGooCDFGooHHFoIIooJJJKKK", "size": 6, "moves": 4, "solution": ["H<2", "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: BoAACDBoEECDFGooCDFGooHHFoIIooJJJKKK\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nH<2,Cv1,Cv1,A>2\n"]}} {"board": "oBBBCooAADCooooDCoEEoDoooooFFFoooGGG", "size": 6, "moves": 4, "solution": ["F<3", "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: oBBBCooAADCooooDCoEEoDoooooFFFoooGGG\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<3,Cv2,Cv1,A>3\n"]}} {"board": "oooooBoooooBAAoCoDooECoDFoECoDFoEooo", "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: oooooBoooooBAAoCoDooECoDFoECoDFoEooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Cv1,A>4\n"]}} {"board": "oooBBBCDEEEFCDGGGFCoHHHooIIIJooAAoJo", "size": 6, "moves": 3, "solution": ["H<1", "J^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: oooBBBCDEEEFCDGGGFCoHHHooIIIJooAAoJo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nH<1,J^1,A>3\n"]}} {"board": "oooooBAAoooBooooCCoooooooooDDDEEEooo", "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: oooooBAAoooBooooCCoooooooooDDDEEEooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,Bv2,A>4\n"]}} {"board": "oooAABCDEEoBCDoFFFGDooHoGIIIHJGoKKHJ", "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: oooAABCDEEoBCDoFFFGDooHoGIIIHJGoKKHJ\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Bv1,A>1\n"]}} {"board": "oooBBBoooooCoooooCoAAoDoooooDooEEoDo", "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: oooBBBoooooCoooooCoAAoDoooooDooEEoDo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,D^3,A>3\n"]}} {"board": "ooooBCDoAABCDoooooDoooooEFooooEFoooo", "size": 6, "moves": 3, "solution": ["Bv2", "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: ooooBCDoAABCDoooooDoooooEFooooEFoooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,Bv2,A>2\n"]}} {"board": "BBBoooooCoooAACoooooDEEoooDoooooDooo", "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: BBBoooooCoooAACoooooDEEoooDoooooDooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB>3,C^1,A>4\n"]}} {"board": "BooCCCBAAooDoooooDooEoFFooEoooooGGGo", "size": 6, "moves": 3, "solution": ["F<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: BooCCCBAAooDoooooDooEoFFooEoooooGGGo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Dv1,A>3\n"]}} {"board": "AAoBCooooBCooooBooDDDoEEFoooooFooooo", "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: AAoBCooooBCooooBooDDDoEEFoooooFooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>4\n"]}} {"board": "BAAoCoBoDDCooooEEEFGHHHoFGooooFGoooo", "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: BAAoCoBoDDCooooEEEFGHHHoFGooooFGoooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<2,Cv1,A>3\n"]}} {"board": "ooooooBooCCCBooooooAADoooooDEFGGGDEF", "size": 6, "moves": 4, "solution": ["Bv1", "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: ooooooBooCCCBooooooAADoooooDEFGGGDEF\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,B<3,D^3,A>3\n"]}} {"board": "ooooBoAAoCBooooCooDoooooDEEoooDooooo", "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: ooooBoAAoCBooooCooDoooooDEEoooDooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,Bv1,A>4\n"]}} {"board": "ooBBBooooooooooooooooCCCAAoooDoooooD", "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: ooBBBooooooooooooooooCCCAAoooDoooooD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,D^2,A>4\n"]}} {"board": "BoAACoBDDDCoBoooCooooEEEoooFFooooooo", "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: BoAACoBDDDCoBoooCooooEEEoooFFooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<2,Cv1,A>2\n"]}} {"board": "ooooBooAAoBCooooBCoooooooDDDoEoooooE", "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: ooooBooAAoBCooooBCoooooooDDDoEoooooE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,Bv1,A>3\n"]}} {"board": "ooooBoooAABoCCCDBoEEEDoooFFoGGooHHoo", "size": 6, "moves": 4, "solution": ["F<1", "G<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: ooooBoooAABoCCCDBoEEEDoooFFoGGooHHoo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,G<2,Bv2,A>2\n"]}} {"board": "oooooooooooooooooooooBCDAAoBCDoooooD", "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: oooooooooooooooooooooBCDAAoBCDoooooD\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,C^1,D^2,A>4\n"]}} {"board": "BBBCCCoAADoooooDEoFFFDEoooGGEoHHoIIo", "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: BBBCCCoAADoooooDEoFFFDEoooGGEoHHoIIo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,Dv1,A>3\n"]}} {"board": "ooooooooooooooBBBooCooDEoCooDEooAADE", "size": 6, "moves": 4, "solution": ["B<1", "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: ooooooooooooooBBBooCooDEoCooDEooAADE\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,D^1,E^1,A>2\n"]}} {"board": "oAABoooooBoooooCCCooooooooooooooDDoo", "size": 6, "moves": 3, "solution": ["C<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: oAABoooooBoooooCCCooooooooooooooDDoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<3,Bv1,A>3\n"]}} {"board": "BoAACoBDDDCoooEEEooFFFoooooooGHHoIIG", "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: BoAACoBDDDCoooEEEooFFFoooooooGHHoIIG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Cv1,A>2\n"]}} {"board": "ooAAoBoCoooBoCooDDoooooooooooooooooo", "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: ooAAoBoCoooBoCooDDoooooooooooooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv1,A>2\n"]}} {"board": "BBBoCooAAoCooooDDoooEooFGGEHoFooEHoF", "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: BBBoCooAAoCooooDDoooEooFGGEHoFooEHoF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Cv2,A>3\n"]}} {"board": "ooooooooooooooooooBBBooCoooDECoAADEo", "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: ooooooooooooooooooBBBooCoooDECoAADEo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E^1,A>3\n"]}} {"board": "oooooooBBBoCoDAAoCoDoooCoDoooooooEEE", "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: oooooooBBBoCoDAAoCoDoooCoDoooooooEEE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Cv2,A>2\n"]}} {"board": "ooooooooooBoooCoBoAACoBooooooooooooo", "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: ooooooooooBoooCoBoAACoBooooooooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,C^1,A>4\n"]}} {"board": "oooooooooBBBoAAoCoooooCooooDDDEEEooo", "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: oooooooooBBBoAAoCoooooCooooDDDEEEooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,C^2,A>3\n"]}} {"board": "ooooooooBooCAABooCoDoooCoDooooooEEoo", "size": 6, "moves": 3, "solution": ["B^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: ooooooooBooCAABooCoDoooCoDooooooEEoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,Cv2,A>4\n"]}} {"board": "BBBoooCCCoooDDDEEEoooAAFGGHooFIIHJJJ", "size": 6, "moves": 4, "solution": ["H^1", "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: BBBoooCCCoooDDDEEEoooAAFGGHooFIIHJJJ\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nH^1,J<1,Gv1,A>1\n"]}} {"board": "ooBBBooAAooCoooooCoDEooFoDEooFooEooo", "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: ooBBBooAAooCoooooCoDEooFoDEooFooEooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nFv1,Cv1,A>3\n"]}} {"board": "ooooBooAAoBoCDDDBoCoooooCooEEEoooooo", "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: ooooBooAAoBoCDDDBoCoooooCooEEEoooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<2,Bv2,A>3\n"]}} {"board": "BoCCCoBooDDDBoooooAAooEoFoooEGFoHHEG", "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: BoCCCoBooDDDBoooooAAooEoFoooEGFoHHEG\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,D<2,E^3,A>4\n"]}} {"board": "ooooBooCCCBoDDDoBooEoFFFoEAAoGoEoooG", "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: ooooBooCCCBoDDDoBooEoFFFoEAAoGoEoooG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,G^2,A>2\n"]}} {"board": "BAAoCoBDDDCoEEooFFoGHIIIoGHJoooGHJKK", "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: BAAoCoBDDDCoEEooFFoGHIIIoGHJoooGHJKK\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<2,Cv1,A>3\n"]}} {"board": "oBCooooBCoDooBCoDooAAoDEoooooEoooooo", "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: oBCooooBCoDooBCoDooAAoDEoooooEoooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E^2,A>3\n"]}} {"board": "oAAoBCDoooBCDoooBEoFoooEGFHHHEGFoooo", "size": 6, "moves": 4, "solution": ["Bv1", "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: oAAoBCDoooBCDoooBEoFoooEGFHHHEGFoooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Ev1,Bv1,A>3\n"]}} {"board": "ooooooBoAAoCBDDDoCEFoGGGEFooHHEFoIII", "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: ooooooBoAAoCBDDDoCEFoGGGEFooHHEFoIII\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,Cv1,A>2\n"]}} {"board": "oBCAADoBCoEDoBoFEDGGGFHHIIIoJKLLLoJK", "size": 6, "moves": 4, "solution": ["F^1", "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: oBCAADoBCoEDoBoFEDGGGFHHIIIoJKLLLoJK\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,H<1,Dv1,A>1\n"]}} {"board": "AAooBooCooBooCooBDEoFFFDEooooGooHHoG", "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: AAooBooCooBooCooBDEoFFFDEooooGooHHoG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Bv1,A>4\n"]}} {"board": "oooooooooBBBoooooCoAAooCoooooCoooDDo", "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: oooooooooBBBoooooCoAAooCoooooCoooDDo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,C^2,A>3\n"]}} {"board": "BooCooBooCooAAoCooooDDDooooooooooooo", "size": 6, "moves": 3, "solution": ["D<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: BooCooBooCooAAoCooooDDDooooooooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<2,Cv3,A>4\n"]}} {"board": "oooooBoAACoBoooCooDEECooDoooFFoooooo", "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: oooooBoAACoBoooCooDEECooDoooFFoooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,Bv1,A>3\n"]}} {"board": "oooooooBBBooAAoCoooooCDDooEEooFFoooo", "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: oooooooBBBooAAoCoooooCDDooEEooFFoooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,C^2,A>4\n"]}} {"board": "ooBooCooBooCDEoooCDEoAAFDGGGoFHHoIII", "size": 6, "moves": 3, "solution": ["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: ooBooCooBooCDEoooCDEoAAFDGGGoFHHoIII\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nI<1,Fv1,A>1\n"]}} {"board": "oooooBCCCooBooAAoBDoEEFFDGHIooDGHIoo", "size": 6, "moves": 4, "solution": ["E<1", "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: oooooBCCCooBooAAoBDoEEFFDGHIooDGHIoo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,F<1,Bv3,A>2\n"]}} {"board": "AABCooooBCDDooBooEFFGooEHoGooEHooIII", "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: AABCooooBCDDooBooEFFGooEHoGooEHooIII\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Gv1,Bv1,A>4\n"]}} {"board": "ooooooooooooooooBooAAoBCoDDooCoooEEE", "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: ooooooooooooooooBooAAoBCoDDooCoooEEE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,C^2,A>3\n"]}} {"board": "oooooBooAAoBoCDEEEoCDooooCDooooooFFo", "size": 6, "moves": 4, "solution": ["Dv1", "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: oooooBooAAoBoCDEEEoCDooooCDooooooFFo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,D<1,Bv2,A>2\n"]}} {"board": "ooBBBooooooooooCDoAAoCDooooCDoooEEoo", "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: ooBBBooooooooooCDoAAoCDooooCDoooEEoo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,C^2,D^2,A>4\n"]}} {"board": "ooBBBoooooCoooooCoAAoDCooooDoooooDoo", "size": 6, "moves": 4, "solution": ["B<2", "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: ooBBBoooooCoooooCoAAoDCooooDoooooDoo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,C^1,D^3,A>4\n"]}} {"board": "oooooBooAAoBoooCCCoooDDDEFFoooEoGGoo", "size": 6, "moves": 4, "solution": ["C<1", "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: oooooBooAAoBoooCCCoooDDDEFFoooEoGGoo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,D<1,Bv2,A>2\n"]}} {"board": "ooooooBBBoooooCCCoAADoooooDoooooDooo", "size": 6, "moves": 4, "solution": ["B>3", "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: ooooooBBBoooooCCCoAADoooooDoooooDooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB>3,C>1,D^3,A>4\n"]}} {"board": "oooBBBoooCooAAoCoooooCooooDDoooooooo", "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: oooBBBoooCooAAoCoooooCooooDDoooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Cv2,A>4\n"]}} {"board": "oooBBBooooCoDDDECFGAAEoFGoHoIoGoHoIo", "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: oooBBBooooCoDDDECFGAAEoFGoHoIoGoHoIo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,F^1,A>3\n"]}} {"board": "AAooBoCCCoBoDDEEBoFoGGGHFIoooHFIoooH", "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: AAooBoCCCoBoDDEEBoFoGGGHFIoooHFIoooH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,Bv1,A>4\n"]}} {"board": "ooBBBoooooooooooCoooAACoooooCooooDDo", "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: ooBBBoooooooooooCoooAACoooooCooooDDo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,C^2,A>2\n"]}} {"board": "oBBBoCoAAooCooDDEEooooFoooooFoGGGoFo", "size": 6, "moves": 4, "solution": ["D<1", "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: oBBBoCoAAooCooDDEEooooFoooooFoGGGoFo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,E<1,Cv2,A>3\n"]}} {"board": "ooooooBooAACBDoooCBDEEoCoooFFFooooGG", "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: ooooooBooAACBDoooCBDEEoCoooFFFooooGG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Cv1,A>1\n"]}} {"board": "oAAoBoooooBooooCCCoDDDoooooooooooooo", "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: oAAoBoooooBooooCCCoDDDoooooooooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,Bv1,A>3\n"]}} {"board": "ooooooooooooooBBBoAAooCooDDoCoooooCo", "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: ooooooooooooooBBBoAAooCooDDoCoooooCo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,C^3,A>4\n"]}} {"board": "BBBCDoooECDoFGECooFGooHIFAAoHIoJJJKK", "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: BBBCDoooECDoFGECooFGooHIFAAoHIoJJJKK\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nH^1,I^1,A>3\n"]}} {"board": "ooBoooooBCDooAACDooooCDEoooooEoooooo", "size": 6, "moves": 3, "solution": ["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: ooBoooooBCDooAACDooooCDEoooooEoooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,Cv2,A>3\n"]}} {"board": "BooCCCBoooDoBoAADoEooFFFEoooooEoGGoo", "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: BooCCCBoooDoBoAADoEooFFFEoooooEoGGoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,D^1,A>2\n"]}} {"board": "ooooBooAAoBoCCCoBoDEooooDEoFFoDooGGG", "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: ooooBooAAoBoCCCoBoDEooooDEoFFoDooGGG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Bv2,A>3\n"]}} {"board": "BoooooBooCCCBDoooooDoEEEooAAoFoGGooF", "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: BoooooBooCCCBDoooooDoEEEooAAoFoGGooF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,F^2,A>2\n"]}} {"board": "ooBBBoooooooooooooCAADooCEEDFFoooDoo", "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: ooBBBoooooooooooooCAADooCEEDFFoooDoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,D^3,A>3\n"]}} {"board": "oooBBBCooooDCooooDCEoAADoEooooFFGGoo", "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: oooBBBCooooDCooooDCEoAADoEooooFFGGoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,D^1,A>1\n"]}} {"board": "BooCCCBDEooFoDEAAFGooHHIGJoooIGJoKKI", "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: BooCCCBDEooFoDEAAFGooHHIGJoooIGJoKKI\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,F^1,A>1\n"]}} {"board": "oooooooooBCooAABCooooBCooooooooooooo", "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: oooooooooBCooAABCooooBCooooooooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,Bv2,A>3\n"]}} {"board": "ooBBBooooooooooooooAACoooDDCoooooCoo", "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: ooBBBooooooooooooooAACoooDDCoooooCoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,C^3,A>3\n"]}} {"board": "BBBooCDEEEoCDooFFFDGoHHHoGAAoIoooJJI", "size": 6, "moves": 4, "solution": ["F<1", "H<1", "I^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: BBBooCDEEEoCDooFFFDGoHHHoGAAoIoooJJI\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,H<1,I^2,A>2\n"]}} {"board": "oooBooAAoBCoooooCoooooCDoEEooDoooooD", "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: oooBooAAoBCoooooCoooooCDoEEooDoooooD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,Bv1,A>4\n"]}} {"board": "oooooooooBBBooooooCooDDDCAAooECFFFoE", "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: oooooooooBBBooooooCooDDDCAAooECFFFoE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,E^2,A>3\n"]}} {"board": "ooooooooBCooooBCDoAAoCDoEEoFDooooFoo", "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: ooooooooBCooooBCDoAAoCDoEEoFDooooFoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^2,A>4\n"]}} {"board": "oooBCoooDBCoooDoCoooDEFoooGEFoAAGEoo", "size": 6, "moves": 4, "solution": ["D^1", "E^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: oooBCoooDBCoooDoCoooDEFoooGEFoAAGEoo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E^1,G^1,A>4\n"]}} {"board": "ooooBoAAooBoCCCoBooooDDooooEEEoooooo", "size": 6, "moves": 4, "solution": ["D<1", "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: ooooBoAAooBoCCCoBooooDDooooEEEoooooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,E<2,Bv2,A>4\n"]}} {"board": "ooooooooBoooooBCooAABCoooooCoooooooo", "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: ooooooooBoooooBCooAABCoooooCoooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,C^2,A>4\n"]}} {"board": "BAACooBDoCEEoDFFooGDHooIGoHJJIGooooI", "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: BAACooBDoCEEoDFFooGDHooIGoHJJIGooooI\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF>2,Cv1,A>3\n"]}} {"board": "BoAACDBoooCDBoEEoDoooFFFGGHHHIooJJoI", "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: BoAACDBoooCDBoEEoDoooFFFGGHHHIooJJoI\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,F<1,Cv1,A>2\n"]}} {"board": "oooBBBoooooCDooooCDoAAoCoooEEEoFFFoo", "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: oooBBBoooooCDooooCDoAAoCoooEEEoFFFoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,C^1,A>2\n"]}} {"board": "ooBBBoCCCoDoAAooDooooEFGoooEFGHHHEFG", "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: ooBBBoCCCoDoAAooDooooEFGoooEFGHHHEFG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,D^1,A>4\n"]}} {"board": "oBBBoooooooCAAoDoCoooDoooooDooEEooFF", "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: oBBBoooooooCAAoDoCoooDoooooDooEEooFF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,Dv1,A>4\n"]}} {"board": "oooooooBoooooBooCoDDDoCEoAAoCEoooooE", "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: oooooooBoooooBooCoDDDoCEoAAoCEoooooE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,E^2,A>3\n"]}} {"board": "ooBBBooooooooooooooooCoDoAACoDoooCoD", "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: ooBBBooooooooooooooooCoDoAACoDoooCoD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,D^2,A>3\n"]}} {"board": "BCoDDDBCoooooCoEEEoooFFFoooooGAAoooG", "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: BCoDDDBCoooooCoEEEoooFFFoooooGAAoooG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,G^1,A>4\n"]}} {"board": "oBBBoooAAoCoooDDCoooooCooEEoFFGGGoHH", "size": 6, "moves": 4, "solution": ["E<1", "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: oBBBoooAAoCoooDDCoooooCooEEoFFGGGoHH\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,F<2,Cv1,A>3\n"]}} {"board": "ooooooBoCCCoBooDooooEDooAAEoFoooooFo", "size": 6, "moves": 3, "solution": ["E^1", "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: ooooooBoCCCoBooDooooEDooAAEoFoooooFo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,F^2,A>4\n"]}} {"board": "oooBBBooooooCoooooCooooDCoAAEDFFFoED", "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: oooBBBooooooCoooooCooooDCoAAEDFFFoED\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,E^2,A>2\n"]}} {"board": "oooooooooBBBoCCCoooDAAEoFDooEoFDooEo", "size": 6, "moves": 3, "solution": ["B<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: oooooooooBBBoCCCoooDAAEoFDooEoFDooEo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,E^3,A>2\n"]}} {"board": "ooooooooAABooCooBooCooBooCoDDDoooooo", "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: ooooooooAABooCooBooCooBooCoDDDoooooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D<2,Cv1,A>2\n"]}} {"board": "ooooooooooooBBBooooCCCooooDooEAADooE", "size": 6, "moves": 4, "solution": ["E^3", "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: ooooooooooooBBBooooCCCooooDooEAADooE\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^3,D>2,E^1,A>4\n"]}} {"board": "oAAooBCoDEoBCoDEFFCGHooIoGHooIJJHKKK", "size": 6, "moves": 4, "solution": ["Ev2", "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: oAAooBCoDEoBCoDEFFCGHooIoGHooIJJHKKK\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv2,E<1,Bv1,A>3\n"]}} {"board": "ooooooooBBBooAACDoEooCDoEooCDoEFFooo", "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: ooooooooBBBooAACDoEooCDoEooCDoEFFooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Cv1,A>3\n"]}} {"board": "ooooooooooooooooBoooooBooAAoCoooooCo", "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: ooooooooooooooooBoooooBooAAoCoooooCo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^2,C^2,A>3\n"]}} {"board": "BBBooooooooCooDoECooDFEooAAFoGoooFoG", "size": 6, "moves": 4, "solution": ["C^1", "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: BBBooooooooCooDoECooDFEooAAFoGoooFoG\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,F^2,G^2,A>3\n"]}} {"board": "BAAoCoBoDDCooEEoCoooFFFooGHHoooGoIII", "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: BAAoCoBoDDCooEEoCoooFFFooGHHoooGoIII\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Cv1,A>3\n"]}} {"board": "oooBBBCCCoDooAAoDoEEEoFGooHHFGoIIIFG", "size": 6, "moves": 3, "solution": ["B<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: oooBBBCCCoDooAAoDoEEEoFGooHHFGoIIIFG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,D^1,A>3\n"]}} {"board": "AAoBoooooBoCDDoEoCoFFEoCoooEGGoooooo", "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: AAoBoooooBoCDDoEoCoFFEoCoooEGGoooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,Bv1,A>4\n"]}} {"board": "oooBBBooooooCCCoDoooAADoooooDoooooEE", "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: oooBBBooooooCCCoDoooAADoooooDoooooEE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,D^2,A>2\n"]}} {"board": "oAAoBoooCCBoooDEEEooDooooooFFFoooGGo", "size": 6, "moves": 4, "solution": ["Dv1", "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: oAAoBoooCCBoooDEEEooDooooooFFFoooGGo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,D<2,Bv1,A>3\n"]}} {"board": "AABCoooDBCoooDoCEEoDoFooGGGFooHHoooo", "size": 6, "moves": 4, "solution": ["Bv1", "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: AABCoooDBCoooDoCEEoDoFooGGGFooHHoooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Fv1,Bv1,A>4\n"]}} {"board": "ooBBBCoAAooCoooDDoooEEFFGooHHoGooIII", "size": 6, "moves": 4, "solution": ["E<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: ooBBBCoAAooCoooDDoooEEFFGooHHoGooIII\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,F<1,Cv2,A>3\n"]}} {"board": "ooAABoooooBoooooBoooooCCoooooooooDDo", "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: ooAABoooooBoooooBoooooCCoooooooooDDo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,Bv1,A>2\n"]}} {"board": "oBBBoooooCoDoEFCGDHEFCGoHoAAGIHooJJI", "size": 6, "moves": 4, "solution": ["D^1", "G^1", "I^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: oBBBoooooCoDoEFCGDHEFCGoHoAAGIHooJJI\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,G^1,I^2,A>2\n"]}} {"board": "ooAAoBCCoDDBEEFoGGoHFIIIoHFooJoHKKKJ", "size": 6, "moves": 3, "solution": ["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: ooAAoBCCoDDBEEFoGGoHFIIIoHFooJoHKKKJ\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,Bv1,A>2\n"]}} {"board": "oAABoCoDDBoCEoFFGoEHHHGoEIIoGoJJoKKK", "size": 6, "moves": 4, "solution": ["Cv1", "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: oAABoCoDDBoCEoFFGoEHHHGoEIIoGoJJoKKK\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,F<1,Bv1,A>3\n"]}} {"board": "oAABCooooBCooooBooooDDoooooooooooooo", "size": 6, "moves": 4, "solution": ["Cv1", "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: oAABCooooBCooooBooooDDoooooooooooooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,D<1,Bv1,A>3\n"]}} {"board": "oooAABoooooBoCoDDDECFGHHEoFGoIooFGoI", "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: oooAABoooooBoCoDDDECFGHHEoFGoIooFGoI\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv1,A>1\n"]}} {"board": "ooooBCooAABCooooBCDDDoooEEooooooooFF", "size": 6, "moves": 3, "solution": ["Bv2", "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: ooooBCooAABCooooBCDDDoooEEooooooooFF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,Bv2,A>2\n"]}} {"board": "BCAAoDBCooEDBCooEDoFFGGGHHIIIooJJKKK", "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: BCAAoDBCooEDBCooEDoFFGGGHHIIIooJJKKK\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,G<1,Dv1,A>2\n"]}} {"board": "BoooCoBoooCoooAACooooDDooooooooooooo", "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: BoooCoBoooCoooAACooooDDooooooooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Cv3,A>2\n"]}} {"board": "oooooooooBBBoooCCCoooooDooAAoDoooooD", "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: oooooooooBBBoooCCCoooooDooAAoDoooooD\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,C<1,D^2,A>2\n"]}} {"board": "BAACooBDDCooBEFFooGEHoooGEHooIGJJJoI", "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: BAACooBDDCooBEFFooGEHoooGEHooIGJJJoI\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF>2,Cv1,A>3\n"]}} {"board": "oooBoooAABoooooooooooCCCoDDoEEoooFFF", "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: oooBoooAABoooooooooooCCCoDDoEEoooFFF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<3,Bv2,A>3\n"]}} {"board": "oooBBBoCCCDoooooDoooAADooooEFoGGGEFo", "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: oooBBBoCCCDoooooDoooAADooooEFoGGGEFo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,D^1,A>2\n"]}} {"board": "ooooooooooBCooooBCDAAoBCDooEEEoooooo", "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: ooooooooooBCooooBCDAAoBCDooEEEoooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,C^1,A>3\n"]}} {"board": "ooooooBooCCCBoooooBDoAAEoDFFFEoDoooE", "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: ooooooBooCCCBoooooBDoAAEoDFFFEoDoooE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,E^3,A>1\n"]}} {"board": "ooBBBooCooDooCooDoAAooDEooooFEoGGoFE", "size": 6, "moves": 4, "solution": ["B<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: ooBBBooCooDooCooDoAAooDEooooFEoGGoFE\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,D^1,E^3,A>4\n"]}} {"board": "ooooBoCoAABoCoooDDCoEEooooooooFFFGGG", "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: ooooBoCoAABoCoooDDCoEEooooooooFFFGGG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<2,Bv2,A>2\n"]}} {"board": "ooooooooBBBoooooooAACoooooCoDoooCoDo", "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: ooooooooBBBoooooooAACoooooCoDoooCoDo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB>1,C^3,A>4\n"]}} {"board": "ooooooooBCoDAABCoDoEEoooooooFFoooGGG", "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: ooooooooBCoDAABCoDoEEoooooooFFoooGGG\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,C^1,D^1,A>4\n"]}} {"board": "ooBoooooBoooooooooCoAADECoooDECoooDE", "size": 6, "moves": 3, "solution": ["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: ooBoooooBoooooooooCoAADECoooDECoooDE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^3,E^3,A>2\n"]}} {"board": "oooooooooBBBCCCoDooAAoDoooooEEoFFooo", "size": 6, "moves": 3, "solution": ["B<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: oooooooooBBBCCCoDooAAoDoooooEEoFFooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,D^1,A>3\n"]}} {"board": "oAAoBoCCCoBooooDDDooEoooooEoooFFoooo", "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: oAAoBoCCCoBooooDDDooEoooooEoooFFoooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<2,Bv1,A>3\n"]}} {"board": "ooooooooooBoAAooBoCCCoBooooDDDoooooo", "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: ooooooooooBoAAooBoCCCoBooooDDDoooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<2,Bv2,A>4\n"]}} {"board": "AABooCooBDoCEEoDFooGGoFooHHHFooooIII", "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: AABooCooBDoCEEoDFooGGoFooHHHFooooIII\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>4\n"]}} {"board": "ooooooBBBooCAAoooCoDDDoCooooooooooEE", "size": 6, "moves": 3, "solution": ["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: ooooooBBBooCAAoooCoDDDoCooooooooooEE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Cv2,A>4\n"]}} {"board": "oBBBoooooooooooooooAACooDDoCEooooCEo", "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: oBBBoooooooooooooooAACooDDoCEooooCEo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,C^3,A>3\n"]}} {"board": "AABoooooBoooCoBDDoCEEooooooFFFoooooo", "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: AABoooooBoooCoBDDoCEEooooooFFFoooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE>2,Bv1,A>4\n"]}} {"board": "oooBBBoooooooooooooooCoDoAACoDoooCEE", "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: oooBBBoooooooooooooooCoDoAACoDoooCEE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,D^1,A>3\n"]}} {"board": "oBBBooooCCCooooDDDAAoooEoooooEoooooE", "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: oBBBooooCCCooooDDDAAoooEoooooEoooooE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,E^3,A>4\n"]}} {"board": "oooooBoooooBooooooAACoDoooCoDooooooo", "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: oooooBoooooBooooooAACoDoooCoDooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,D^2,A>4\n"]}} {"board": "BAAooCBDDDoCoEEEoCoFoGGGoFoooooFoHHH", "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: BAAooCBDDDoCoEEEoCoFoGGGoFoooooFoHHH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,Cv1,A>3\n"]}} {"board": "ooooooooBCCCDoBoooDooooEoFoAAEoFoooE", "size": 6, "moves": 4, "solution": ["Bv1", "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: ooooooooBCCCDoBoooDooooEoFoAAEoFoooE\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,B<1,E^2,A>1\n"]}} {"board": "oooooooooooooooBBBAAooCoooooCoDDooEE", "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: oooooooooooooooBBBAAooCoooooCoDDooEE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,C^2,A>4\n"]}} {"board": "ooBoooooBCooAABCoooooCoooooooooooooo", "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: ooBoooooBCooAABCoooooCoooooooooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv3,Bv2,A>4\n"]}} {"board": "ooBCCCAABooooDDEEEooooFoGGooFooooooo", "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: ooBCCCAABooooDDEEEooooFoGGooFooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv2,A>4\n"]}} {"board": "ooooBooAAoBooooCCCoDooEEoDooFFoDoooo", "size": 6, "moves": 4, "solution": ["C<2", "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: ooooBooAAoBooooCCCoDooEEoDooFFoDoooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,E<2,Bv2,A>3\n"]}} {"board": "BCCCoDBoAAoDBooEEEFFoGGGHHHIoooooIoo", "size": 6, "moves": 4, "solution": ["E<1", "G<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: BCCCoDBoAAoDBooEEEFFoGGGHHHIoooooIoo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,G<1,Dv2,A>2\n"]}} {"board": "BoooooBooooCoooooCAADooCooDoooooDEEo", "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: BoooooBooooCoooooCAADooCooDoooooDEEo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^3,A>4\n"]}} {"board": "BAAoCoBoooCoooooCoDEooFFDEooooDEGGoo", "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: BAAoCoBoooCoooooCoDEooFFDEooooDEGGoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<2,Cv1,A>3\n"]}} {"board": "ooAAoBCDEEEBCDoFFFooGoHHoIGJJJoIoKKo", "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: ooAAoBCDEEEBCDoFFFooGoHHoIGJJJoIoKKo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Bv1,A>2\n"]}} {"board": "ooooooooooooooBBBooooooooAAoCoooooCo", "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: ooooooooooooooBBBooooooooAAoCoooooCo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,C^2,A>3\n"]}} {"board": "ooooBooCooBooCAABDEoFFFDEooooDEooooo", "size": 6, "moves": 4, "solution": ["Dv1", "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: ooooBooCooBooCAABDEoFFFDEooooDEooooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,E<1,Bv3,A>2\n"]}} {"board": "ooooooooBoooooBoooAABCoooooCoooDDCoo", "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: ooooooooBoooooBoooAABCoooooCoooDDCoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,C^3,A>4\n"]}} {"board": "AAooBCooooBCDDoEoCFFFEoooooGHooooGHo", "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: AAooBCooooBCDDoEoCFFFEoooooGHooooGHo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>4\n"]}} {"board": "oooooooBBBoooooooooooCCCAAoDoooooDoo", "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: oooooooBBBoooooooooooCCCAAoDoooooDoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<3,D^2,A>4\n"]}} {"board": "oBBBoooooCDoEEECDFoAACoFGHHHIIGooooo", "size": 6, "moves": 4, "solution": ["B<1", "C^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: oBBBoooooCDoEEECDFoAACoFGHHHIIGooooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,C^1,F^1,A>3\n"]}} {"board": "oooooBooCooBoDCooooDoEoooDoEoFAAoEoF", "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: oooooBooCooBoDCooooDoEoooDoEoFAAoEoF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,F^1,A>4\n"]}} {"board": "oooBooCooBooCDAAEoFDooEGFDooEGFoHHHG", "size": 6, "moves": 3, "solution": ["H<1", "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: oooBooCooBooCDAAEoFDooEGFDooEGFoHHHG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nH<1,Ev1,A>2\n"]}} {"board": "oooooooooooBCoAAoBCooooBoooDDDoooEEo", "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: oooooooooooBCoAAoBCooooBoooDDDoooEEo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv2,A>2\n"]}} {"board": "BoooooBoCCCoBoooDoAAooDooooEEEooFFFo", "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: BoooooBoCCCoBoooDoAAooDooooEEEooFFFo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,D^1,A>4\n"]}} {"board": "oBBBoooooCCCoAAoDoooEEDooFooDooFooGG", "size": 6, "moves": 3, "solution": ["G<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: oBBBoooooCCCoAAoDoooEEDooFooDooFooGG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<2,Dv1,A>3\n"]}} {"board": "oBBBoCooooDCoAAoDoEEEoDoFFoGoooooGHH", "size": 6, "moves": 4, "solution": ["G^1", "H<2", "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: oBBBoCooooDCoAAoDoEEEoDoFFoGoooooGHH\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nG^1,H<2,Dv2,A>3\n"]}} {"board": "oBBBoooCoooooCoooooooooDooEooDAAEooD", "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: oBBBoooCoooooCoooooooooDooEooDAAEooD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E^1,A>4\n"]}} {"board": "BBBoooooooooooooooooooCooAAoCDoooooD", "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: BBBoooooooooooooooooooCooAAoCDoooooD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^2,A>3\n"]}} {"board": "BoooCoBAAoCooDDDoooooEEooFFFGooHHoGo", "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: BoooCoBAAoCooDDDoooooEEooFFFGooHHoGo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Cv2,A>3\n"]}} {"board": "ooBBBCoooooCDooAACDEEoooDooFFFoGGGoo", "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: ooBBBCoooooCDooAACDEEoooDooFFFoGGGoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Cv3,A>1\n"]}} {"board": "oAABCooooBCooooooooooooooooooooooooo", "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: oAABCooooBCooooooooooooooooooooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>3\n"]}} {"board": "BooooCBoDDDCBooAACEoFFFoEoGGHHoooooo", "size": 6, "moves": 4, "solution": ["G<1", "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: BooooCBoDDDCBooAACEoFFFoEoGGHHoooooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,H<1,Cv3,A>1\n"]}} {"board": "ooooooBBBooooCCCooooooDoAAooDEoooooE", "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: ooooooBBBooooCCCooooooDoAAooDEoooooE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E^2,A>4\n"]}} {"board": "oooBBBooCCCooooDDDooEooFooEooFooEAAF", "size": 6, "moves": 3, "solution": ["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: oooBBBooCCCooooDDDooEooFooEooFooEAAF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,F^1,A>1\n"]}} {"board": "oAABoCDDoBoCEooBooEoFGHHIJFGKKIJFooo", "size": 6, "moves": 4, "solution": ["Cv1", "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: oAABoCDDoBoCEooBooEoFGHHIJFGKKIJFooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Gv1,Bv1,A>3\n"]}} {"board": "BBBoCoDDDoCooooAAEoFFooEGGGHHEooIIJJ", "size": 6, "moves": 4, "solution": ["I<1", "J<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: BBBoCoDDDoCooooAAEoFFooEGGGHHEooIIJJ\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nI<1,J<1,Ev1,A>1\n"]}} {"board": "oooooooooBBBoooCCCoooooDEAAooDEooooD", "size": 6, "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 (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBBBoooCCCoooooDEAAooDEooooD\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,C<1,D^2,A>3\n"]}} {"board": "BCDDDoBCoEEEBoFAAGoHFIoGoHoIJKoHLLJK", "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: BCDDDoBCoEEEBoFAAGoHFIoGoHoIJKoHLLJK\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,G^2,A>1\n"]}} {"board": "ooooBCAAooBCooooBCDDoooooooEEEFFoooo", "size": 6, "moves": 4, "solution": ["E<2", "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: ooooBCAAooBCooooBCDDoooooooEEEFFoooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<2,Bv2,Bv2,A>4\n"]}} {"board": "oooooBCCCooBoooAABooooooDDEoooooEFFF", "size": 6, "moves": 4, "solution": ["E^1", "F<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: oooooBCCCooBoooAABooooooDDEoooooEFFF\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,F<1,Bv3,A>1\n"]}} {"board": "AABoooooBoooooBoooCDDEooCooEooCoooFF", "size": 6, "moves": 4, "solution": ["E^2", "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: AABoooooBoooooBoooCDDEooCooEooCoooFF\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^2,E>2,Bv1,A>4\n"]}} {"board": "oBBBooooooooooCooDAACEoDoooEoooooooo", "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: oBBBooooooooooCooDAACEoDoooEoooooooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^1,E^2,A>4\n"]}} {"board": "BoCDDDBoCoooBECooooEooFoGoAAFHGoooFH", "size": 6, "moves": 3, "solution": ["F^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: BoCDDDBoCoooBECooooEooFoGoAAFHGoooFH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^2,H^2,A>2\n"]}} {"board": "oooBBBAAoCooDoECooDoEFFooGEooooGoooo", "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: oooBBBAAoCooDoECooDoEFFooGEooooGoooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF>1,Cv1,A>4\n"]}} {"board": "ooBCCCooBDoooAADEoFoGDEoFoGoEoHHGooo", "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: ooBCCCooBDoooAADEoFoGDEoFoGoEoHHGooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv2,Dv1,A>3\n"]}} {"board": "AABoCoooBoCDoooEEDFGGGooFHHHoooooooo", "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: AABoCoooBoCDoooEEDFGGGooFHHHoooooooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<3,Bv1,Bv1,A>4\n"]}} {"board": "oBBBCoooAACoooooCooDoEEooDFooooDFoGG", "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: oBBBCoooAACoooooCooDoEEooDFooooDFoGG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Cv2,A>2\n"]}} {"board": "BBBCooAAoCoooDDDooooooEoooFFEoooooEo", "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: BBBCooAAoCoooDDDooooooEoooFFEoooooEo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Cv2,A>4\n"]}} {"board": "oooooBooCooBooCDooAACDoooooDEEoooooo", "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: oooooBooCooBooCDooAACDoooooDEEoooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^2,A>4\n"]}} {"board": "ooooBCAADoBCooDoBoooDEoooooEooFFoGGo", "size": 6, "moves": 4, "solution": ["Bv2", "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: ooooBCAADoBCooDoBoooDEoooooEooFFoGGo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,Bv2,Bv1,A>4\n"]}} {"board": "BooCooBoDCEFBoDoEFAADoEooooGoHoooGoH", "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: BooCooBoDCEFBoDoEFAADoEooooGoHoooGoH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E^1,A>4\n"]}} {"board": "ooooooBCCCooBAADoooooDoooooDoooooEEo", "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: ooooooBCCCooBAADoooooDoooooDoooooEEo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<2,Dv1,A>3\n"]}} {"board": "BBBooCooDDDCoooooCAAoooEooFFoEGGoHHH", "size": 6, "moves": 3, "solution": ["H<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: BBBooCooDDDCoooooCAAoooEooFFoEGGoHHH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nH<1,Ev1,A>4\n"]}} {"board": "oooBoooooBooooooCDooooCDAAooEDoFFFEo", "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: oooBoooooBooooooCDooooCDAAooEDoFFFEo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,D^1,E^2,A>4\n"]}} {"board": "BoooooBooCCCBooooooooDDDoooEoooAAEoo", "size": 6, "moves": 3, "solution": ["D<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: BoooooBooCCCBooooooooDDDoooEoooAAEoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<3,E^1,A>3\n"]}} {"board": "oooBBBooooCoooooCoooAACooooDDDoooooo", "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: oooBBBooooCoooooCoooAACooooDDDoooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,C^1,A>2\n"]}} {"board": "oooooBoAAooBoCCoDDEoFFFoEooGooEooGHH", "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: oooooBoAAooBoCCoDDEoFFFoEooGooEooGHH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv2,A>3\n"]}} {"board": "oBoCCCoBDDDEoBoAAEFooGHEFIoGHoFIoJJJ", "size": 6, "moves": 3, "solution": ["J<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: oBoCCCoBDDDEoBoAAEFooGHEFIoGHoFIoJJJ\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nJ<1,Ev2,A>1\n"]}} {"board": "oooooooBoooooBoooCDooooCDAAooEDooooE", "size": 6, "moves": 3, "solution": ["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: oooooooBoooooBoooCDooooCDAAooEDooooE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,E^2,A>3\n"]}} {"board": "oooooooooooooooBBBooCCCoooooDoooAADo", "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: oooooooooooooooBBBooCCCoooooDoooAADo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,D^1,A>2\n"]}} {"board": "oooooooooBBBoooooooooooCAAoooCoDDDoC", "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: oooooooooBBBoooooooooooCAAoooCoDDDoC\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,C^2,A>4\n"]}} {"board": "AAooBoooCCBoooooBooDDoEEooFFFoGGoooo", "size": 6, "moves": 4, "solution": ["D<1", "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: AAooBoooCCBoooooBooDDoEEooFFFoGGoooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,E<2,Bv1,A>4\n"]}} {"board": "oooBoooooBCoooDoCoAADoCooooooooooooo", "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: oooBoooooBCoooDoCoAADoCooooooooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^1,A>4\n"]}} {"board": "ooooooAABooCooBDoCoooDoCooEDooooEooo", "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: ooooooAABooCooBDoCoooDoCooEDooooEooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>4\n"]}} {"board": "oBAACooBooCoDDooEEFoGoHHFIGoooFIGJJJ", "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: oBAACooBooCoDDooEEFoGoHHFIGoooFIGJJJ\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<2,Cv1,A>2\n"]}} {"board": "ooooooooooBoooooBoAAoCDooooCDooooCoo", "size": 6, "moves": 3, "solution": ["C^3", "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: ooooooooooBoooooBoAAoCDooooCDooooCoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^3,Dv1,A>4\n"]}} {"board": "oBoooCDBEEECDBAAoCFGooHHFGIIIoooooJJ", "size": 6, "moves": 4, "solution": ["H<1", "J<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: oBoooCDBEEECDBAAoCFGooHHFGIIIoooooJJ\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nH<1,J<1,Cv3,A>2\n"]}} {"board": "ooBCCCAABoooDoBEEEDoFFGooHooGooHooGo", "size": 6, "moves": 4, "solution": ["Dv2", "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: ooBCCCAABoooDoBEEEDoFFGooHooGooHooGo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv2,E<2,Bv2,A>4\n"]}} {"board": "oooooooooBBBoooooooAACoDEEECoDoooCoo", "size": 6, "moves": 4, "solution": ["B<3", "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: oooooooooBBBoooooooAACoDEEECoDoooCoo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<3,C^3,D^2,A>3\n"]}} {"board": "oooBoooooBoooooooooooooCooooDCAAooDC", "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: oooBoooooBoooooooooooooCooooDCAAooDC\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^1,A>4\n"]}} {"board": "ooooooAABoooCCBooooDDoEooFooEooFooEo", "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: ooooooAABoooCCBooooDDoEooFooEooFooEo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv1,A>4\n"]}} {"board": "oooBBBoooooooooooCoAADoCoooDoooooDoo", "size": 6, "moves": 4, "solution": ["B<3", "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: oooBBBoooooooooooCoAADoCoooDoooooDoo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<3,C^1,D^3,A>3\n"]}} {"board": "AAoooBoooooBooCCDDoEoooooEFFFooEoooo", "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: AAoooBoooooBooCCDDoEoooooEFFFooEoooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,D<1,Bv1,A>4\n"]}} {"board": "BBBooCoooDoCAAoDoCEooDooEoooooEooooo", "size": 6, "moves": 3, "solution": ["Cv3", "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: BBBooCoooDoCAAoDoCEooDooEoooooEooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv3,Cv2,A>4\n"]}} {"board": "ooooooooBBBoooooooAACooooDCooooDCEEE", "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: ooooooooBBBoooooooAACooooDCooooDCEEE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB>1,C^3,A>4\n"]}} {"board": "oAAoBoooCCBoooDDDooEoFoooEoFoooEGGHH", "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: oAAoBoooCCBoooDDDooEoFoooEoFoooEGGHH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv1,A>3\n"]}} {"board": "ooBCCCooBoooDoBAAEDFFoGEDoHHGEIIoJJJ", "size": 6, "moves": 3, "solution": ["J<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: ooBCCCooBoooDoBAAEDFFoGEDoHHGEIIoJJJ\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nJ<1,Ev1,A>1\n"]}} {"board": "oooBBBoCCCooDAAooEDooooEoFoGGGoFoHHH", "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: oooBBBoCCCooDAAooEDooooEoFoGGGoFoHHH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,E^2,A>3\n"]}} {"board": "AAooBoooooBoCCCoBooDooEEoDoFFoGGHHHo", "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: AAooBoooooBoCCCoBooDooEEoDoFFoGGHHHo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<2,Bv1,A>4\n"]}} {"board": "oooBCoDDDBCoEooBCFEoGGGFEoooHFAAooHo", "size": 6, "moves": 3, "solution": ["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: oooBCoDDDBCoEooBCFEoGGGFEoooHFAAooHo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,H^1,A>4\n"]}} {"board": "oBoCCCoBAAoDoBoooDoooooDoEEoFFoooGGG", "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: oBoCCCoBAAoDoBoooDoooooDoEEoFFoooGGG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Dv1,A>2\n"]}} {"board": "BooCoDBooCoDoAACooooooEEooFFoooooGGG", "size": 6, "moves": 4, "solution": ["F<1", "G<3", "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: BooCoDBooCoDoAACooooooEEooFFoooooGGG\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,G<3,Cv3,A>3\n"]}} {"board": "oAABooCCoBooDDDEEoFFoGooHHoGoooooGII", "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: oAABooCCoBooDDDEEoFFoGooHHoGoooooGII\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE>1,Bv1,A>3\n"]}} {"board": "oooBooAAoBoooooooooooCCoooooDDoooooo", "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: oooBooAAoBoooooooooooCCoooooDDoooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,Bv2,A>4\n"]}} {"board": "oooooooooBoooooBoooooCCCoAAoDoooooDo", "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: oooooooooBoooooBoooooCCCoAAoDoooooDo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,D^2,A>3\n"]}} {"board": "AAooBoCoooBoCooDDDCooooooooooooooEEE", "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: AAooBoCoooBoCooDDDCooooooooooooooEEE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<2,Bv1,A>4\n"]}} {"board": "ooooBoooooBoooooooAAoCDooEECDFGGoCoF", "size": 6, "moves": 3, "solution": ["C^3", "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: ooooBoooooBoooooooAAoCDooEECDFGGoCoF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^3,Dv1,A>4\n"]}} {"board": "oooBBBoCAADooCEEDooCoFFFoGGGHHoooIII", "size": 6, "moves": 4, "solution": ["C^1", "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: oooBBBoCAADooCEEDooCoFFFoGGGHHoooIII\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,F<2,Dv1,A>2\n"]}} {"board": "oBoAACoBDDDCoBoEEEoFooGGoFooHHIIoJJJ", "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: oBoAACoBDDDCoBoEEEoFooGGoFooHHIIoJJJ\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Cv1,A>1\n"]}} {"board": "oooooooooBooAAoBCDooooCDoooooDoooEEo", "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: oooooooooBooAAoBCDooooCDoooooDoooEEo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,C^2,Dv1,A>4\n"]}} {"board": "BBBoooCoooooCooDDDEoooooEoAAoFEooGGF", "size": 6, "moves": 3, "solution": ["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: BBBoooCoooooCooDDDEoooooEoAAoFEooGGF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,F^2,A>2\n"]}} {"board": "ooooooooooBooooCBooAACBoooDEEEooDooo", "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: ooooooooooBooooCBooAACBoooDEEEooDooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,C^1,A>3\n"]}} {"board": "ooBooCooBAACooBooCoooDDDooooEooFFoEo", "size": 6, "moves": 3, "solution": ["D<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: ooBooCooBAACooBooCoooDDDooooEooFFoEo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Cv2,A>1\n"]}} {"board": "oooooooBBBooAACoooooCooDEEEooDoooooD", "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: oooooooBBBooAACoooooCooDEEEooDoooooD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB>2,C^2,A>4\n"]}} {"board": "oooBBBoooooooooCooDAACooDooCooDooooo", "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: oooBBBoooooooooCooDAACooDooCooDooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<3,C^2,A>3\n"]}} {"board": "oooBBBCoooDoCEooDooEoooFooooGFooAAGF", "size": 6, "moves": 3, "solution": ["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: oooBBBCoooDoCEooDooEoooFooooGFooAAGF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,G^1,A>2\n"]}} {"board": "ooBoooooBooCooBooCooDDDCEAAFooEooFoo", "size": 6, "moves": 3, "solution": ["D<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: ooBoooooBooCooBooCooDDDCEAAFooEooFoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<2,F^2,A>3\n"]}} {"board": "ooBBBoooooCoDoAACoDooEEoDFFoooGGGoHH", "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: ooBBBoooooCoDoAACoDooEEoDFFoooGGGoHH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,C^1,A>2\n"]}} {"board": "ooBBBCooDDDCoAAooCEoFoooEoFoooooFoGG", "size": 6, "moves": 3, "solution": ["G<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: ooBBBCooDDDCoAAooCEoFoooEoFoooooFoGG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,Cv3,A>3\n"]}} {"board": "oooBBBooooooooooooooCCCoAAoDoooooDoo", "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: oooBBBooooooooooooooCCCoAAoDoooooDoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,D^2,A>4\n"]}} {"board": "ooAAoBCCoDDBoooooBEEoFFFoGooHHoGoooo", "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: ooAAoBCCoDDBoooooBEEoFFFoGooHHoGoooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Bv1,A>2\n"]}} {"board": "oooooooooBBBoooooooCoDDDoCooEoooAAEo", "size": 6, "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 (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooooooooBBBoooooooCoDDDoCooEoooAAEo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,D<2,E^1,A>2\n"]}} {"board": "oAAooBCoooDBCEEoDBCoFFoGoHHHoGoooooo", "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: oAAooBCoooDBCEEoDBCoFFoGoHHHoGoooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nGv1,Bv1,A>3\n"]}} {"board": "BBBooCooDDDCoooEEEAAoFGooooFGHooIIIH", "size": 6, "moves": 4, "solution": ["I<2", "Fv1", "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: BBBooCooDDDCoooEEEAAoFGooooFGHooIIIH\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nI<2,Fv1,Fv1,A>4\n"]}} {"board": "oBBBoCoooAACoDDooooooEEEFoooGoFHHHGo", "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: oBBBoCoooAACoDDooooooEEEFoooGoFHHHGo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Cv2,A>1\n"]}} {"board": "ooBoooooBoooooBCCCoAAooDooEEoDoooFFF", "size": 6, "moves": 3, "solution": ["F<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: ooBoooooBoooooBCCCoAAooDooEEoDoooFFF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Dv1,A>3\n"]}} {"board": "oooooooooooooooooooAABoCooDBoCooDBoC", "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: oooooooooooooooooooAABoCooDBoCooDBoC\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^3,C^3,A>3\n"]}} {"board": "oooBoooAABoCoooooCDEooooDEoFFoDEGGoo", "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: oooBoooAABoCoooooCDEooooDEoFFoDEGGoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,Bv1,A>3\n"]}} {"board": "ooBCCCooBooooooooooDEAAFoDEooFoGGooF", "size": 6, "moves": 4, "solution": ["Bv1", "B<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: ooBCCCooBooooooooooDEAAFoDEooFoGGooF\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,B<1,F^3,A>1\n"]}} {"board": "oooBBBoooCCCooooDEoAAoDEooooFoooooFo", "size": 6, "moves": 4, "solution": ["C<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: oooBBBoooCCCooooDEoAAoDEooooFoooooFo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,D^1,E^1,A>3\n"]}} {"board": "BooAACBoDooCEoDoFFEoGoHHEoGIJooKKIJo", "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: BooAACBoDooCEoDoFFEoGoHHEoGIJooKKIJo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Cv1,A>1\n"]}} {"board": "ooooBoooooBooCoDDDoCoEEEoCoooFooAAoF", "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: ooooBoooooBooCoDDDoCoEEEoCoooFooAAoF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,F^1,A>2\n"]}} {"board": "oooooBoooAABooooooCooooDCooooDCoooEE", "size": 6, "moves": 4, "solution": ["E<1", "Dv1", "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: oooooBoooAABooooooCooooDCooooDCoooEE\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Dv1,Bv2,A>1\n"]}} {"board": "oooBBBoooooCooAAoCoooooCooDDDooooEEE", "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: oooBBBoooooCooAAoCoooooCooDDDooooEEE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Cv2,A>2\n"]}} {"board": "AAooBoooooBoooooBooooCCCooDEEEooDoFF", "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: AAooBoooooBoooooBooooCCCooDEEEooDoFF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,Bv1,A>4\n"]}} {"board": "oooooBAAoooBoooooBooooooooooCCoooDDo", "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: oooooBAAoooBoooooBooooooooooCCoooDDo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,Bv2,A>4\n"]}} {"board": "oooooooooooooooooBCoooDBCoooDEAAooDE", "size": 6, "moves": 4, "solution": ["B^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: oooooooooooooooooBCoooDBCoooDEAAooDE\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,D^1,E^1,A>4\n"]}} {"board": "AAoooBoCoooBoCoooDoCoooDoEooFFoEoooo", "size": 6, "moves": 4, "solution": ["F<1", "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: AAoooBoCoooBoCoooDoCoooDoEooFFoEoooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Dv1,Bv1,A>4\n"]}} {"board": "oooooooooBBBoooCoDoAACoDoooooooooooo", "size": 6, "moves": 3, "solution": ["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: oooooooooBBBoooCoDoAACoDoooooooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,Cv2,A>3\n"]}} {"board": "oBoAACoBoooCoBoDDDEFFGooEHoGIIEHJJoo", "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: oBoAACoBoooCoBoDDDEFFGooEHoGIIEHJJoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Cv1,A>1\n"]}} {"board": "oBoAACoBDooCEoDFFFEoDoGGEooHHHoooIIo", "size": 6, "moves": 4, "solution": ["Dv2", "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: oBoAACoBDooCEoDFFFEoDoGGEooHHHoooIIo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv2,E<1,Cv1,A>1\n"]}} {"board": "BoooooBoooooooCCCooAAoDEoFFGDEHHoGDE", "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: BoooooBoooooooCCCooAAoDEoFFGDEHHoGDE\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,D^3,E^3,A>3\n"]}} {"board": "oooBBBoCCCooooooDEFGooDEFGAAoHFGoooH", "size": 6, "moves": 4, "solution": ["B<1", "E^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: oooBBBoCCCooooooDEFGooDEFGAAoHFGoooH\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,E^2,H^2,A>2\n"]}} {"board": "oBAAoCoBDEECooDooCFGHoIIFGHJJJFGHKKK", "size": 6, "moves": 3, "solution": ["I<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: oBAAoCoBDEECooDooCFGHoIIFGHJJJFGHKKK\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nI<1,Cv1,A>2\n"]}} {"board": "ooooooooBBBoAACoooooCoooooCooDooEEoD", "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: ooooooooBBBoAACoooooCoooooCooDooEEoD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<2,Cv1,A>4\n"]}} {"board": "oooooooooBooooCBoDAACooDoooooooooooo", "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: oooooooooBooooCBoDAACooDoooooooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^1,A>4\n"]}} {"board": "ooBoooooBoCoooooCDoAAoCDoooooooooooo", "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: ooBoooooBoCoooooCDoAAoCDoooooooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^1,A>3\n"]}} {"board": "oooooooooAABCCCooBDDDooBEooFFFEGGGHH", "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: oooooooooAABCCCooBDDDooBEooFFFEGGGHH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Bv1,A>1\n"]}} {"board": "ooooBoooAABoooooCCooooDDoooooooooooo", "size": 6, "moves": 4, "solution": ["C<2", "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: ooooBoooAABoooooCCooooDDoooooooooooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,D<2,Bv2,A>2\n"]}} {"board": "oooooBoAAoCBDoooCoDoEECoooooooooFFFo", "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: oooooBoAAoCBDoooCoDoEECoooooooooFFFo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,Bv1,A>3\n"]}} {"board": "oAAoBooCCoBooDDDEFGooHEFGooHEoGooHoo", "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: oAAoBooCCoBooDDDEFGooHEFGooHEoGooHoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,Bv1,A>3\n"]}} {"board": "oAAoBCooooBCooDDDooooooooooooooooooo", "size": 6, "moves": 4, "solution": ["Cv1", "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: oAAoBCooooBCooDDDooooooooooooooooooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,D<1,Bv1,A>3\n"]}} {"board": "oooBBBooCDDDooCooooEoooFoEoAAFoEoGGF", "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: oooBBBooCDDDooCooooEoooFoEoAAFoEoGGF\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,C<1,F^2,A>1\n"]}} {"board": "AABoooooBoooooBoooCDDoooCoEEFFCooGGG", "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: AABoooooBoooooBoooCDDoooCoEEFFCooGGG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD>2,Bv1,A>4\n"]}} {"board": "BoooooBCoDDDoCoooooAAooEooFooEooFooE", "size": 6, "moves": 3, "solution": ["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: BoooooBCoDDDoCoooooAAooEooFooEooFooE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,E^3,A>3\n"]}} {"board": "ooooooAAooBCoDDDBCEFFooCEooGGGEooHHo", "size": 6, "moves": 4, "solution": ["Bv1", "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: ooooooAAooBCoDDDBCEFFooCEooGGGEooHHo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,G<1,Bv1,A>4\n"]}} {"board": "oooBoCoooBoCAAooDCEFFFDoEoGGooHHoooo", "size": 6, "moves": 3, "solution": ["Cv3", "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: oooBoCoooBoCAAooDCEFFFDoEoGGooHHoooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv3,C^2,A>4\n"]}} {"board": "ooBBBoAAoCoooDDCoooooCoooEFFoGoEoHHG", "size": 6, "moves": 4, "solution": ["G^2", "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: ooBBBoAAoCoooDDCoooooCoooEFFoGoEoHHG\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nG^2,G>2,Cv1,A>4\n"]}} {"board": "oBBBCDEEEoCDAAooCoFoGGGHFIoooHFIoooo", "size": 6, "moves": 3, "solution": ["G<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: oBBBCDEEEoCDAAooCoFoGGGHFIoooHFIoooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,Cv3,A>4\n"]}} {"board": "BoCCCoBooDDDEooFFFEoGAAHIIGoJHKKGoJH", "size": 6, "moves": 4, "solution": ["D<1", "F<1", "H^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: BoCCCoBooDDDEooFFFEoGAAHIIGoJHKKGoJH\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,F<1,H^3,A>1\n"]}} {"board": "oBCCCooBoooDoEEEoDFooGGGFAAoHoFoooHo", "size": 6, "moves": 3, "solution": ["G<2", "H^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: oBCCCooBoooDoEEEoDFooGGGFAAoHoFoooHo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<2,H^2,A>3\n"]}} {"board": "oooAABoooooBooCDDDooCEEoFFoooooooooo", "size": 6, "moves": 4, "solution": ["C^2", "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: oooAABoooooBooCDDDooCEEoFFoooooooooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,D<1,Cv1,A>1\n"]}} {"board": "AABoooooBoooCCCooooooDDoooooooEEEooo", "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: AABoooooBoooCCCooooooDDoooooooEEEooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC>3,Bv1,A>4\n"]}} {"board": "oooBooAAoBooooCDDDEECoooooCFoooooFoo", "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: oooBooAAoBooooCDDDEECoooooCFoooooFoo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,C<3,Bv2,A>4\n"]}} {"board": "oooooBoAAooBooooCCoDoooooDEoooooEooo", "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: oooooBoAAooBooooCCoDoooooDEoooooEooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,Bv2,A>3\n"]}} {"board": "AABoooooBooooCCoDDooEooFooEooFGGEooF", "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: AABoooooBooooCCoDDooEooFooEooFGGEooF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,Bv1,A>4\n"]}} {"board": "oooooooooBBBoooCCCDEEEoFDooAAFDooooF", "size": 6, "moves": 4, "solution": ["B<1", "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: oooooooooBBBoooCCCDEEEoFDooAAFDooooF\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,C<1,F^2,A>1\n"]}} {"board": "oooooooooooooAAoBoCooDBECooDBECoFFFE", "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: oooooooooooooAAoBoCooDBECooDBECoFFFE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Bv1,A>3\n"]}} {"board": "oooBoooAABoooooBoooCCCoooooDDooooEEE", "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: oooBoooAABoooooBoooCCCoooooDDooooEEE\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,D<2,Bv2,A>3\n"]}} {"board": "oAABoCoooBoCoooooCoooDDDooooooEEoooo", "size": 6, "moves": 4, "solution": ["Bv1", "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: oAABoCoooBoCoooooCoooDDDooooooEEoooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,D<1,Bv1,A>3\n"]}} {"board": "oooBBBoCoDDDECooooEFoAAGEFHHoGoFoIII", "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: oooBBBoCoDDDECooooEFoAAGEFHHoGoFoIII\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,G^2,A>1\n"]}} {"board": "oooooooAABoooooBoooCoBDDoCEEEooooFFF", "size": 6, "moves": 4, "solution": ["C^1", "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: oooooooAABoooooBoooCoBDDoCEEEooooFFF\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,E<2,Bv1,A>3\n"]}} {"board": "ooooooAABooCooBoDCooBoDCooooDooEEooo", "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: ooooooAABooCooBoDCooBoDCooooDooEEooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>4\n"]}} {"board": "oooBoooooBooAACBooooCoooooCooooooooo", "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: oooBoooooBooAACBooooCoooooCooooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv3,Bv1,A>4\n"]}} {"board": "oBoCooDBoCooDooCooDoAAEFooooEFoooooF", "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: oBoCooDBoCooDooCooDoAAEFooooEFoooooF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^2,F^3,A>2\n"]}} {"board": "AAoooBooCCCBDDoEEEooooooFoGGGHFoIIoH", "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: AAoooBooCCCBDDoEEEooooooFoGGGHFoIIoH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv1,A>4\n"]}} {"board": "AAooBoCoooBoCoooBoCoDDDEoooooEFFoooE", "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: AAooBoCoooBoCoooBoCoDDDEoooooEFFoooE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv1,A>4\n"]}} {"board": "AAooBCooooBCooooBooDDEoooooEFFoooGGG", "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: AAooBCooooBCooooBooDDEoooooEFFoooGGG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>4\n"]}} {"board": "oooBooAAoBooooooCooooDCooooDCoEEoFFo", "size": 6, "moves": 4, "solution": ["F>1", "Dv1", "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: oooBooAAoBooooooCooooDCooooDCoEEoFFo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nF>1,Dv1,Bv2,A>4\n"]}} {"board": "ooooBoooooBooooCCCoooDoooAADooEEoDoo", "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: ooooBoooooBooooCCCoooDoooAADooEEoDoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<3,D^2,A>3\n"]}} {"board": "oooooooBoooooBooooooCDDDAACooEoooooE", "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: oooooooBoooooBooooooCDDDAACooEoooooE\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,D<1,E^2,A>4\n"]}} {"board": "ooooooooooBoooooBooooooCoAAoDCEEEoDC", "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: ooooooooooBoooooBooooooCoAAoDCEEEoDC\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,C^2,D^2,A>3\n"]}} {"board": "AAoBoooooBoooooCoooooCoooooooooooooo", "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: AAoBoooooBoooooCoooooCoooooooooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Bv1,A>4\n"]}} {"board": "BooAACBoDEECFFDoGGooHHHooIoJJJoIooKK", "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: BooAACBoDEECFFDoGGooHHHooIoJJJoIooKK\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,Cv1,A>1\n"]}} {"board": "oooBBBoCAAoDoCEEEDoCoooDoooFFFGGoooo", "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: oooBBBoCAAoDoCEEEDoCoooDoooFFFGGoooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Dv1,A>2\n"]}} {"board": "oooooooBCDDDoBCoooEBoFGoEooFGHooAAGH", "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: oooooooBCDDDoBCoooEBoFGoEooFGHooAAGH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nG^1,H^1,A>2\n"]}} {"board": "ooBooCAABooCoooDDoooooEEFoGoooFoGHHH", "size": 6, "moves": 4, "solution": ["Bv2", "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: ooBooCAABooCoooDDoooooEEFoGoooFoGHHH\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,E<1,Bv2,A>4\n"]}} {"board": "ooooooooooooooooooBooCCCBoooDoBoAADo", "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: ooooooooooooooooooBooCCCBoooDoBoAADo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,D^1,A>2\n"]}} {"board": "oBBBoCoooooCooAAoDoooooDoooEEEoooooo", "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: oBBBoCoooooCooAAoDoooooDoooEEEoooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Dv1,A>2\n"]}} {"board": "ooooooooBoooAABCoDEEBCoDoooooDoooooo", "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: ooooooooBoooAABCoDEEBCoDoooooDoooooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,B^2,Cv1,A>4\n"]}} {"board": "oAABooCooBooCooBDDooEEEoooooooooooFF", "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: oAABooCooBooCooBDDooEEEoooooooooooFF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<2,Bv1,A>3\n"]}} {"board": "ooooooBoooooBoooooBooooCDAAoECDoooEC", "size": 6, "moves": 3, "solution": ["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: ooooooBoooooBoooooBooooCDAAoECDoooEC\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,E^2,A>3\n"]}} {"board": "ooooBoooooBoooooooAACooDooCooDooCooD", "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: ooooBoooooBoooooooAACooDooCooDooCooD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^3,D^3,A>4\n"]}} {"board": "oooooooooAABCoooDBCoooDBCoooEEoooFFo", "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: oooooooooAABCoooDBCoooDBCoooEEoooFFo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv1,A>1\n"]}} {"board": "oooAABoooooBoooCCBoooDDDoooooooEEoFF", "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: oooAABoooooBoooCCBoooDDDoooooooEEoFF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv1,A>1\n"]}} {"board": "oooBBBoooCoooooCooDAAEooDooEFoooGGFo", "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: oooBBBoooCoooooCooDAAEooDooEFoooGGFo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,Ev1,A>3\n"]}} {"board": "oAABCoDooBCoDooBCEFFGooEHoGIIIHJJJoo", "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: oAABCoDooBCoDooBCEFFGooEHoGIIIHJJJoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>3\n"]}} {"board": "BoAACoBDDDCoBooEEEFFGHHoooGooIooGooI", "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: BoAACoBDDDCoBooEEEFFGHHoooGooIooGooI\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<2,Cv1,A>2\n"]}} {"board": "oooBooAAoBCoDDDBCoooEoCooFEooooFEoGG", "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: oooBooAAoBCoDDDBCoooEoCooFEooooFEoGG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,Bv1,A>4\n"]}} {"board": "ooooooooooooooooooBooooCBAAoDCBoooDC", "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: ooooooooooooooooooBooooCBAAoDCBoooDC\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,D^2,A>3\n"]}} {"board": "BoooooBAACoDoooCoDoooooDoooooooooooo", "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: BoooooBAACoDoooCoDoooooDoooooooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Cv1,A>3\n"]}} {"board": "oooBoooooBoooooCCCDooEooDooEooDAAEoo", "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: oooBoooooBoooooCCCDooEooDooEooDAAEoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<3,E^1,A>3\n"]}} {"board": "AABCoDEoBCFDEGBCFDEGooooHIooJJHIKKoo", "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: AABCoDEoBCFDEGBCFDEGooooHIooJJHIKKoo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,Bv1,A>4\n"]}} {"board": "oAAoBoooooBooooCCCoDDDEEoooooooFFooo", "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: oAAoBoooooBooooCCCoDDDEEoooooooFFooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,Bv1,A>3\n"]}} {"board": "oooooBAAoooBoooooooCCDDDooooooooooEE", "size": 6, "moves": 4, "solution": ["C<1", "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: oooooBAAoooBoooooooCCDDDooooooooooEE\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,D<1,Bv2,A>4\n"]}} {"board": "oooooooBoCoooBoCoooBoDDDooooEoAAooEo", "size": 6, "moves": 4, "solution": ["B^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: oooooooBoCoooBoCoooBoDDDooooEoAAooEo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,D<2,E^1,A>4\n"]}} {"board": "oooBBBooooCoooooCoooAACDEooooDEooooD", "size": 6, "moves": 4, "solution": ["B<2", "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: oooBBBooooCoooooCoooAACDEooooDEooooD\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,C^1,D^3,A>2\n"]}} {"board": "BAAooCBoDooCBoDooCoEDoFFGEoHHoGEoIII", "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: BAAooCBoDooCBoDooCoEDoFFGEoHHoGEoIII\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Cv1,A>3\n"]}} {"board": "ooooooooooooooooBCoAAoBCooDDDoooEEEo", "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: ooooooooooooooooBCoAAoBCooDDDoooEEEo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,C^1,A>3\n"]}} {"board": "oooBoooooBooooooooooAACDooEoCDooEoCo", "size": 6, "moves": 3, "solution": ["C^3", "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: oooBoooooBooooooooooAACDooEoCDooEoCo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^3,D^2,A>2\n"]}} {"board": "oooooBoooAABoCooooDCEFFFDoEGGoDHHHoo", "size": 6, "moves": 4, "solution": ["E^2", "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: oooooBoooAABoCooooDCEFFFDoEGGoDHHHoo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^2,F<1,Bv2,A>1\n"]}} {"board": "oooBooooCBoDAACooDoEFooGoEFHHGoEFoII", "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: oooBooooCBoDAACooDoEFooGoEFHHGoEFoII\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^1,A>4\n"]}} {"board": "oBoooooBoooooBoCCCoooooooooAADoooooD", "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: oBoooooBoooooBoCCCoooooooooAADoooooD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,D^2,A>1\n"]}} {"board": "ooooooAAoBoooooBoooCDEEooCDooFoCDooF", "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: ooooooAAoBoooooBoooCDEEooCDooFoCDooF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE>1,Bv1,A>4\n"]}} {"board": "BooCooBooCoDoAACoDooooooEEooooooFFGG", "size": 6, "moves": 4, "solution": ["D^1", "F<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: BooCooBooCoDoAACoDooooooEEooooooFFGG\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,F<1,Cv3,A>3\n"]}} {"board": "oooooooAAoBoooooBoooooCoooooCoooDDDo", "size": 6, "moves": 4, "solution": ["D<1", "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: oooooooAAoBoooooBoooooCoooooCoooDDDo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Cv1,Bv1,A>3\n"]}} {"board": "oooooooooBBBoCCCooAAoDoooooDoEoooDoE", "size": 6, "moves": 4, "solution": ["B<3", "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: oooooooooBBBoCCCooAAoDoooooDoEoooDoE\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<3,C<1,D^3,A>4\n"]}} {"board": "oooBoooAABoCoooBoCoooDDooooooooooooo", "size": 6, "moves": 4, "solution": ["Cv1", "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: oooBoooAABoCoooBoCoooDDooooooooooooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,D<2,Bv2,A>3\n"]}} {"board": "ooBoooooBCCCooBoDooAAoDoooooEEooFFFo", "size": 6, "moves": 4, "solution": ["E<2", "F<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: ooBoooooBCCCooBoDooAAoDoooooEEooFFFo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<2,F<1,Dv2,A>3\n"]}} {"board": "oooooooooooooooooBAACooBooCooooDDDoo", "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: oooooooooooooooooBAACooBooCooooDDDoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,C^2,A>4\n"]}} {"board": "ooAAoBooooCBooooCBooooDDooooooooEEoo", "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: ooAAoBooooCBooooCBooooDDooooooooEEoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv1,A>2\n"]}} {"board": "oBBBooooooooCooDooCAADoEoooFGEoooFGo", "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: oBBBooooooooCooDooCAADoEoooFGEoooFGo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E^2,A>3\n"]}} {"board": "oooooooooBoooooBooAAoBoCoooDoCoooDoC", "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: oooooooooBoooooBooAAoBoCoooDoCoooDoC\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,C^3,A>4\n"]}} {"board": "oooooooBBBCoAAooCoDEEoCoDoooFFDooooo", "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: oooooooBBBCoAAooCoDEEoCoDoooFFDooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<2,Cv2,A>4\n"]}} {"board": "oBBBoCDoAAoCDooEEEFFooGooHHIGooooIJJ", "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: oBBBoCDoAAoCDooEEEFFooGooHHIGooooIJJ\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Cv2,A>2\n"]}} {"board": "AAoooBoooooBooCooBDDCoEEooCoooooooFF", "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: AAoooBoooooBooCooBDDCoEEooCoooooooFF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv1,A>4\n"]}} {"board": "ooBBBoAAooCDoooECDoFFEooGHHEIIGooJJJ", "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: ooBBBoAAooCDoooECDoFFEooGHHEIIGooJJJ\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Cv1,A>4\n"]}} {"board": "oooooooooBBBCooAADCoEEFDCoooFDoooGGG", "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: oooooooooBBBCooAADCoEEFDCoooFDoooGGG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,Dv1,A>1\n"]}} {"board": "BBBooCDAAooCDooooCDooooooooEEEoooooo", "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: BBBooCDAAooCDooooCDooooooooEEEoooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Cv2,A>3\n"]}} {"board": "oAAoBCDDoEBCoooEBooFFoooGHoIIIGHooJJ", "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: oAAoBCDDoEBCoooEBooFFoooGHoIIIGHooJJ\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>3\n"]}} {"board": "ooBoooooBoooooBooooooooCoooDoCoAADoC", "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: ooBoooooBoooooBooooooooCoooDoCoAADoC\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^1,A>3\n"]}} {"board": "AAooBoooooBooCooDDoCooooooooooEEEooo", "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: AAooBoooooBooCooDDoCooooooooooEEEooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<2,Bv1,A>4\n"]}} {"board": "ooooooBoooooBooooooooCCCoooAADoooooD", "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: ooooooBoooooBooooooooCCCoooAADoooooD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,D^2,A>1\n"]}} {"board": "oooooooooooooooBBBoooAACoooDDCoEEEoC", "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: oooooooooooooooBBBoooAACoooDDCoEEEoC\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,C^3,A>1\n"]}} {"board": "BBBoooooCoooooCoooAACoooooooooooooDD", "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: BBBoooooCoooooCoooAACoooooooooooooDD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB>3,C^1,A>4\n"]}} {"board": "oooooooooooBoAAooBoooooBCDoEEECDoooo", "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: oooooooooooBoAAooBoooooBCDoEEECDoooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv2,A>3\n"]}} {"board": "oBBBoooooooCooDooCAADEoCoooEFFoooooo", "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: oBBBoooooooCooDooCAADEoCoooEFFoooooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^1,E^2,A>4\n"]}} {"board": "oooBoooAABooooCoooooCDDDoooooooooooo", "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: oooBoooAABooooCoooooCDDDoooooooooooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,C<3,Bv2,A>3\n"]}} {"board": "oooooBooAAoBooCCCoDooEEEDoooooDFFGGG", "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: oooooBooAAoBooCCCoDooEEEDoooooDFFGGG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv2,A>2\n"]}} {"board": "ooBBBCoooooCoAAoDEooooDEFFFoDooooGGo", "size": 6, "moves": 4, "solution": ["Ev1", "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: ooBBBCoooooCoAAoDEooooDEFFFoDooooGGo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,G<1,Dv1,A>3\n"]}} {"board": "oooooooooooooooooBAAooCBooooCBoooooo", "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: oooooooooooooooooBAAooCBooooCBoooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^2,C^2,A>4\n"]}} {"board": "ooBoooooBooooooCCCooDooEooDooEooAAoE", "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: ooBoooooBooooooCCCooDooEooDooEooAAoE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,E^1,A>2\n"]}} {"board": "oBAAoCoBooDCoBooDCoEEFFFGoooooGooooo", "size": 6, "moves": 4, "solution": ["E<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: oBAAoCoBooDCoBooDCoEEFFFGoooooGooooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,F<1,Cv1,A>2\n"]}} {"board": "oooAABoCCCoBoDDoEEFFFGGHoIIooHooJJoo", "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: oooAABoCCCoBoDDoEEFFFGGHoIIooHooJJoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv1,A>1\n"]}} {"board": "oBoooooBoooooBoooooooCoDAAoCoDoooCoD", "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: oBoooooBoooooBoooooooCoDAAoCoDoooCoD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,D^2,A>4\n"]}} {"board": "ooooooooooBCoAAoBCoooooooooDoooooDoo", "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: ooooooooooBCoAAoBCoooooooooDoooooDoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,C^1,A>3\n"]}} {"board": "oooBoooooBoooAAooCoooooCoooooCoooDDD", "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: oooBoooooBoooAAooCoooooCoooooCoooDDD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Cv1,A>3\n"]}} {"board": "oooooooooBBBoooooCDoooECDAAoECDooFFo", "size": 6, "moves": 4, "solution": ["B<1", "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: oooooooooBBBoooooCDoooECDAAoECDooFFo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,C^1,E^1,A>3\n"]}} {"board": "oooooBCoAAoBCDooooCDoEEEooooooFFoooo", "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: oooooBCoAAoBCDooooCDoEEEooooooFFoooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv2,A>2\n"]}} {"board": "oooBBBooooooooooCoooAACoooooCoooDDoo", "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: oooBBBooooooooooCoooAACoooooCoooDDoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,C^2,A>2\n"]}} {"board": "ooAABCDDoEBCFFoEoGoooEHGooooHooIIIHo", "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: ooAABCDDoEBCFFoEoGoooEHGooooHooIIIHo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Gv1,Bv1,A>2\n"]}} {"board": "ooBBBooooooooooooCDoAAECDooFEGDooFoG", "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: ooBBBooooooooooooCDoAAECDooFEGDooFoG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,E^2,A>2\n"]}} {"board": "BBBCooDDDCEoFooCEoFoAAEGoHoooGoHIIIo", "size": 6, "moves": 3, "solution": ["E^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: BBBCooDDDCEoFooCEoFoAAEGoHoooGoHIIIo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,G^2,A>2\n"]}} {"board": "BoAAoCBDDooCoEooFFoEGGHHIEoJJJIoKKoo", "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: BoAAoCBDDooCoEooFFoEGGHHIEoJJJIoKKoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Cv1,A>2\n"]}} {"board": "oooBBBCoAADECFooDECFoooEoGGGHoooooHo", "size": 6, "moves": 3, "solution": ["Dv1", "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: oooBBBCoAADECFooDECFoooEoGGGHoooooHo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,Dv1,A>2\n"]}} {"board": "ooooooooooooooooooooBCDoAABCDooEECoo", "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: ooooooooooooooooooooBCDoAABCDooEECoo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,C^2,D^1,A>4\n"]}} {"board": "BoCCCoBooooooooooooAADoooooDoooooDoo", "size": 6, "moves": 4, "solution": ["Bv1", "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: BoCCCoBooooooooooooAADoooooDoooooDoo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,B<2,D^3,A>3\n"]}} {"board": "AAoooBoooooBooCDDDooCooEooCFFEoooooo", "size": 6, "moves": 4, "solution": ["Cv1", "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: AAoooBoooooBooCDDDooCooEooCFFEoooooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,C<1,Bv1,A>4\n"]}} {"board": "oooooBoooooBooooooooooooAACoDoooCoDo", "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: oooooBoooooBooooooooooooAACoDoooCoDo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,D^2,A>4\n"]}} {"board": "ooooooBoooooBooCCCBoAAoDoooooDoEEFFD", "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: ooooooBoooooBooCCCBoAAoDoooooDoEEFFD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,D^3,A>2\n"]}} {"board": "oooooooooBBBoCCCooooooDooAAoDoooooDo", "size": 6, "moves": 3, "solution": ["B<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: oooooooooBBBoCCCooooooDooAAoDoooooDo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,D^2,A>3\n"]}} {"board": "ooooooBBBoooooCoooAACoooooooooDDDooo", "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: ooooooBBBoooooCoooAACoooooooooDDDooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB>3,C^1,A>4\n"]}} {"board": "BCCCooBDEoFooDEoFoooEGFHIAAGoHIJJooH", "size": 6, "moves": 3, "solution": ["G^1", "H^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: BCCCooBDEoFooDEoFoooEGFHIAAGoHIJJooH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nG^1,H^2,A>3\n"]}} {"board": "ooooooooooooooooooooooBooAACBooDDCBo", "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: ooooooooooooooooooooooBooAACBooDDCBo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^2,C^2,A>3\n"]}} {"board": "oooBoooAABoCDDoBECFGooEoFGooEoFoHHII", "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: oooBoooAABoCDDoBECFGooEoFGooEoFoHHII\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,Bv1,A>3\n"]}} {"board": "ooooooooAABoCoDoBoCoDoBECoFFFEoooooE", "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: ooooooooAABoCoDoBoCoDoBECoFFFEoooooE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Bv1,A>2\n"]}} {"board": "ooooBooAAoBoCCCoBooDoEEEoDFFoooooGGG", "size": 6, "moves": 4, "solution": ["Dv1", "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: ooooBooAAoBoCCCoBooDoEEEoDFFoooooGGG\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,D<2,Bv2,A>3\n"]}} {"board": "oAABoooCCBoDEEoBFDGoHHFDGoooFoIIooJJ", "size": 6, "moves": 3, "solution": ["H<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: oAABoooCCBoDEEoBFDGoHHFDGoooFoIIooJJ\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nH<1,Bv1,A>3\n"]}} {"board": "oBoooooBooCDoBAACDEooFFFEooGGGEooooo", "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: oBoooooBooCDoBAACDEooFFFEooGGGEooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^1,A>2\n"]}} {"board": "oooAABCCCDDBoEooFFoEoGGooEooHoooooHo", "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: oooAABCCCDDBoEooFFoEoGGooEooHoooooHo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Bv1,A>1\n"]}} {"board": "oBBBoooooooCoAAooCoDDooCEEooFFGGoooo", "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: oBBBoooooooCoAAooCoDDooCEEooFFGGoooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Cv2,A>3\n"]}} {"board": "ooooooBoCCCoBooooDBoooEDAAoFEooooFGG", "size": 6, "moves": 3, "solution": ["E^1", "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: ooooooBoCCCoBooooDBoooEDAAoFEooooFGG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,F^2,A>4\n"]}} {"board": "oooBoooAABCooooBCooooooooooDDooooooo", "size": 6, "moves": 4, "solution": ["Cv1", "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: oooBoooAABCooooBCooooooooooDDooooooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,D<2,Bv2,A>3\n"]}} {"board": "AAooBoooooBoooooCCooooDDEEooFFoooGGo", "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: AAooBoooooBoooooCCooooDDEEooFFoooGGo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,Bv1,A>4\n"]}} {"board": "oooooooooBBBCoAAoDCoEFoDCGEFHHoGEFoo", "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: oooooooooBBBCoAAoDCoEFoDCGEFHHoGEFoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,D^2,A>2\n"]}} {"board": "oooBBBooooCoAAooCoooooCoDEEoooDooFFF", "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: oooBBBooooCoAAooCoooooCoDEEoooDooFFF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<2,Cv2,A>4\n"]}} {"board": "ooBoooooBoCDooooCDooooCooAAooEoooooE", "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: ooBoooooBoCDooooCDooooCooAAooEoooooE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E^2,A>3\n"]}} {"board": "oooBBBooCDooAACDooooCDEEoooooooooooo", "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: oooBBBooCDooAACDooooCDEEoooooooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,Cv2,A>4\n"]}} {"board": "ooooooooAABoooooBooooCCCoDDDoooEEooo", "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: ooooooooAABoooooBooooCCCoDDDoooEEooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,Bv1,A>2\n"]}} {"board": "ooBoooooBCCCooBoDoooooDoooEooFAAEooF", "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: ooBoooooBCCCooBoDoooooDoooEooFAAEooF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,F^1,A>4\n"]}} {"board": "ooooooooooooooooBCAAooBCooooBCoDDDoo", "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: ooooooooooooooooBCAAooBCooooBCoDDDoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^2,C^2,A>4\n"]}} {"board": "AAoBCDoooBCDoooooDoooooooEEFGGoooFoo", "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: AAoBCDoooBCDoooooDoooooooEEFGGoooFoo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,Bv1,A>4\n"]}} {"board": "oBoooCoBDDDCEooAACEFoGGGHFoIIIHFoooo", "size": 6, "moves": 4, "solution": ["G<1", "I<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: oBoooCoBDDDCEooAACEFoGGGHFoIIIHFoooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,I<1,Cv3,A>1\n"]}} {"board": "ooBoooooBoooAABooooCCCoooDDooEoooooE", "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: ooBoooooBoooAABooooCCCoooDDooEoooooE\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC>2,D<1,Bv3,A>4\n"]}} {"board": "BoooooBoAACDooooCDEEFGCDooFGooHHFIII", "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: BoooooBoAACDooooCDEEFGCDooFGooHHFIII\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Cv1,A>2\n"]}} {"board": "oBBBCooAAoCoooDDDooooEEoooooooooFFFo", "size": 6, "moves": 4, "solution": ["D<1", "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: oBBBCooAAoCoooDDDooooEEoooooooooFFFo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,E<1,Cv2,A>3\n"]}} {"board": "oAABoooCoBoooCoBoooCDDEoFoooEoFooooo", "size": 6, "moves": 4, "solution": ["E^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: oAABoooCoBoooCoBoooCDDEoFoooEoFooooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^2,E>2,Bv1,A>3\n"]}} {"board": "oBBBooCCCDoooAADoEFoGDHEFoGoHoFoGooo", "size": 6, "moves": 3, "solution": ["Dv2", "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: oBBBooCCCDoooAADoEFoGDHEFoGoHoFoGooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv2,D^2,A>3\n"]}} {"board": "oooBoooAABoooooooooooCCCooooooooDDoo", "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: oooBoooAABoooooooooooCCCooooooooDDoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<3,Bv2,A>3\n"]}} {"board": "oooBooAAoBooCCoBDDooooEEooFFFooGGGoo", "size": 6, "moves": 3, "solution": ["F<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: oooBooAAoBooCCoBDDooooEEooFFFooGGGoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<2,Bv2,A>4\n"]}} {"board": "AAooBooooCBDoooCEDooooEDooooEFoooooF", "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: AAooBooooCBDoooCEDooooEDooooEFoooooF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,Bv1,A>4\n"]}} {"board": "oooooBooCCCBoooooBoAAoDoooooDooEEEDo", "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: oooooBooCCCBoooooBoAAoDoooooDooEEEDo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,D^3,A>3\n"]}} {"board": "AAoBooCDDBEECooBoooooFFFoooooooooooo", "size": 6, "moves": 3, "solution": ["F<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: AAoBooCDDBEECooBoooooFFFoooooooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<3,Bv1,A>4\n"]}} {"board": "oAAoBooCDoBooCDoBooCooEFoGooEFoGoooF", "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: oAAoBooCDoBooCDoBooCooEFoGooEFoGoooF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,Bv1,A>3\n"]}} {"board": "ooooooooBBBooooooCDDDoECooooEFAAooEF", "size": 6, "moves": 4, "solution": ["C^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: ooooooooBBBooooooCDDDoECooooEFAAooEF\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,E^1,F^1,A>4\n"]}} {"board": "oBoooooBoCoooBoCoDAAoCoDEEEooooooFFo", "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: oBoooooBoCoooBoCoDAAoCoDEEEooooooFFo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^1,A>4\n"]}} {"board": "AAoBoooooBCCDEEFooDooFooDGoFHIoGooHI", "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: AAoBoooooBCCDEEFooDooFooDGoFHIoGooHI\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nFv1,Bv1,A>4\n"]}} {"board": "BoooooBAAooCBDDEECFFFooCoGGHHHIIIJJJ", "size": 6, "moves": 4, "solution": ["G<1", "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: BoooooBAAooCBDDEECFFFooCoGGHHHIIIJJJ\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,H<1,Cv1,A>3\n"]}} {"board": "oooooooooBBBooCCCoooDoooAADoooooDoEE", "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: oooooooooBBBooCCCoooDoooAADoooooDoEE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC>1,D^2,A>4\n"]}} {"board": "ooooBoooooBoooooooooooooAAooCDooooCD", "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: ooooBoooooBoooooooooooooAAooCDooooCD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,D^2,A>4\n"]}} {"board": "BoooooBoAAoCooooDCEFooDCEFoGGGEFooHH", "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: BoooooBoAAoCooooDCEFooDCEFoGGGEFooHH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,Cv1,A>2\n"]}} {"board": "oooBBBoAAooCoDDDoCoEoooCoEooFFoEoGGG", "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: oooBBBoAAooCoDDDoCoEoooCoEooFFoEoGGG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Cv1,A>3\n"]}} {"board": "oooooBoooooBoooAACoooooCoooDDDoooEEo", "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: oooooBoooooBoooAACoooooCoooDDDoooEEo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Cv1,A>1\n"]}} {"board": "BBBoooooooooooooooAAoCoDEEECoDoooooD", "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: BBBoooooooooooooooAAoCoDEEECoDoooooD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,D^3,A>4\n"]}} {"board": "oooooBoooAABooooCCoDDoEooFFFEoooooEo", "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: oooooBoooAABooooCCoDDoEooFFFEoooooEo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,Bv2,A>1\n"]}} {"board": "BBBooooAACoooooCoooooDDDoEFFGGoEoooo", "size": 6, "moves": 3, "solution": ["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: BBBooooAACoooooCoooooDDDoEFFGGoEoooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<3,Cv1,A>3\n"]}} {"board": "BAAooCBooDDCBoEFFFGGEoooHIoJJJHIoKKK", "size": 6, "moves": 4, "solution": ["Ev1", "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: BAAooCBooDDCBoEFFFGGEoooHIoJJJHIoKKK\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,E<1,Cv1,A>3\n"]}} {"board": "BBBCoooAACoooDDDEEooFoGGHoFoIIHoFoJJ", "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: BBBCoooAACoooDDDEEooFoGGHoFoIIHoFoJJ\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Cv2,A>3\n"]}} {"board": "oooooooooooooooBBBoooCoDoAACoDoooooD", "size": 6, "moves": 4, "solution": ["B<3", "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: oooooooooooooooBBBoooCoDoAACoDoooooD\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<3,C^1,D^2,A>3\n"]}} {"board": "BAAoCDBEEECDooooFFoooGGGHHHoIoooooIo", "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: BAAoCDBEEECDooooFFoooGGGHHHoIoooooIo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<2,Cv1,Cv1,A>3\n"]}} {"board": "ooAABoooooBoooCCBooDoEEEoDoFFFoDoGGo", "size": 6, "moves": 4, "solution": ["D^3", "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: ooAABoooooBoooCCBooDoEEEoDoFFFoDoGGo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^3,E<2,Cv1,A>2\n"]}} {"board": "oooooooooooooBBBCoDoooCEDAAoFEDoooFE", "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: oooooooooooooBBBCoDoooCEDAAoFEDoooFE\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,E^2,F^2,A>3\n"]}} {"board": "AAooBoooCoBoDoCEEEDoCFoooooFoooooFGG", "size": 6, "moves": 4, "solution": ["Cv2", "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: AAooBoooCoBoDoCEEEDoCFoooooFoooooFGG\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,D<2,Bv1,A>4\n"]}} {"board": "oooooBoCCCDBAAooDBEooFDoEGoFooEGoFoo", "size": 6, "moves": 3, "solution": ["Bv3", "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: oooooBoCCCDBAAooDBEooFDoEGoFooEGoFoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv3,Cv2,A>4\n"]}} {"board": "ooooooooooooooooBooooCBoAAoCBooooooo", "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: ooooooooooooooooBooooCBoAAoCBooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,C^1,A>4\n"]}} {"board": "BBBooooooCoDoooCEDooFoEGooFooGAAFooG", "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: BBBooooooCoDoooCEDooFoEGooFooGAAFooG\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,F^1,G^1,A>4\n"]}} {"board": "ooBooCAABooCoooooooooooooooooooooooo", "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: ooBooCAABooCoooooooooooooooooooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,Bv2,A>4\n"]}} {"board": "ooooooAABoooooBoCCoDDooEooooFEooooFE", "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: ooooooAABoooooBoCCoDDooEooooFEooooFE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv1,A>4\n"]}} {"board": "oooooooooooooooBBBAAoCoooooCDDEEoCFF", "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: oooooooooooooooBBBAAoCoooooCDDEEoCFF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<3,C^3,A>4\n"]}} {"board": "oAABooCDDBooCoEEoooFoGHoIFoGHoIFooHo", "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: oAABooCDDBooCoEEoooFoGHoIFoGHoIFooHo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv1,A>3\n"]}} {"board": "oooBBBoAACooDDoCoooooCoooooEEEoFFooo", "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: oooBBBoAACooDDoCoooooCoooooEEEoFFooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<3,Cv1,A>3\n"]}} {"board": "ooooBoooooBoAAooCDEEEoCDooooCDoooooo", "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: ooooBoooooBoAAooCDEEEoCDooooCDoooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Cv1,A>4\n"]}} {"board": "BBBoCoooooCoooDoCoooDEEEoAAooFooGGoF", "size": 6, "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 (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBoCoooooCoooDoCoooDEEEoAAooFooGGoF\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E<1,F^2,A>3\n"]}} {"board": "ooooooooooooBoCoooBoCooDAACooDoooooD", "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: ooooooooooooBoCoooBoCooDAACooDoooooD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^2,A>4\n"]}} {"board": "oAABoooCoBDDoCoEFFooGEooHIGEooHIGoJJ", "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: oAABoooCoBDDoCoEFFooGEooHIGEooHIGoJJ\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,Bv1,A>3\n"]}} {"board": "oooooooooBBBoooooooooCDoAAoCDoEEoCoo", "size": 6, "moves": 4, "solution": ["B<3", "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: oooooooooBBBoooooooooCDoAAoCDoEEoCoo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<3,C^2,D^1,A>4\n"]}} {"board": "BooAACBooooCooDDoCooooEEoooooooooFFF", "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: BooAACBooooCooDDoCooooEEoooooooooFFF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Cv1,A>1\n"]}} {"board": "ooooooooooooBCCCDoBoAADEooFFoEoGGHHE", "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: ooooooooooooBCCCDoBoAADEooFFoEoGGHHE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E^3,A>2\n"]}} {"board": "AABooooCBooooCBoooDCEEEoDFooGGoFoHHH", "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: AABooooCBooooCBoooDCEEEoDFooGGoFoHHH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE>1,Bv1,A>4\n"]}} {"board": "oooBBBoooooooCCCDEooAADEoFoooooFoooo", "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: oooBBBoooooooCCCDEooAADEoFoooooFoooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E^1,A>2\n"]}} {"board": "ooAABooCCoBoooooDDoEooFooEooFooEooFo", "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: ooAABooCCoBoooooDDoEooFooEooFooEooFo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<2,Bv1,A>2\n"]}} {"board": "oooooBooAAoBooCCCooooDDDoooooEooFFoE", "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: oooooBooAAoBooCCCooooDDDoooooEooFFoE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv2,A>2\n"]}} {"board": "ooooooBooAACBooDDCooEEoCoooFFFoooooo", "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: ooooooBooAACBooDDCooEEoCoooFFFoooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Cv1,A>1\n"]}} {"board": "oooooooooooooooBBBoooAACDooooCDooooC", "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: oooooooooooooooBBBoooAACDooooCDooooC\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,C^3,A>1\n"]}} {"board": "oBoooooBoooooooCCCDooAAEDFoooEDFoooE", "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: oBoooooBoooooooCCCDooAAEDFoooEDFoooE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,E^3,A>1\n"]}} {"board": "ooAABooCCoBoooDDEEFGoHHHFGIIIJFGKKKJ", "size": 6, "moves": 4, "solution": ["D<2", "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: ooAABooCCoBoooDDEEFGoHHHFGIIIJFGKKKJ\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<2,E<2,Bv1,A>2\n"]}} {"board": "oBoAACDBEEECDoooFFoGGGHoIIIoHoooooHo", "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: oBoAACDBEEECDoooFFoGGGHoIIIoHoooooHo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Cv1,A>1\n"]}} {"board": "oooBBBCoAADECFFoDEGHHoDEGoIIooGoJJoo", "size": 6, "moves": 3, "solution": ["Dv1", "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: oooBBBCoAADECFFoDEGHHoDEGoIIooGoJJoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,Dv1,A>2\n"]}} {"board": "oBooooCBAAoDCBEooDCoEooFoooGoFoHHGoo", "size": 6, "moves": 3, "solution": ["Fv1", "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: oBooooCBAAoDCBEooDCoEooFoooGoFoHHGoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nFv1,Dv1,A>2\n"]}} {"board": "oAABCoDDDBCooEEooooooooFGGGoHFooooHF", "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: oAABCoDDDBCooEEooooooooFGGGoHFooooHF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>3\n"]}} {"board": "oooBoooAABoCoooooCooooooDDEEEooooooo", "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: oooBoooAABoCoooooCooooooDDEEEooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,Bv1,A>3\n"]}} {"board": "ooAABooCoDBooCoDBoooooEEoFFoooGGooHH", "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: ooAABooCoDBooCoDBoooooEEoFFoooGGooHH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<2,Bv1,A>2\n"]}} {"board": "oooooooooooooooooooAAoBCooooBCDDooBC", "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: oooooooooooooooooooAAoBCooooBCDDooBC\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^3,C^3,A>3\n"]}} {"board": "oooooooooBBBAAoooCoDDDoCEEEooCoooFFF", "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: oooooooooBBBAAoooCoDDDoCEEEooCoooFFF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Cv1,A>4\n"]}} {"board": "oooBBBAACoooooCDDDooCoooEoFFFoEooGGo", "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: oooBBBAACoooooCDDDooCoooEoFFFoEooGGo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF>1,Cv1,A>4\n"]}} {"board": "oooooooooAABoooooBCooooBCoooDDCooooo", "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: oooooooooAABoooooBCooooBCoooDDCooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv1,A>1\n"]}} {"board": "BCoooDBCoAADoCooEEoFFFooooGHHHooGooo", "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: BCoooDBCoAADoCooEEoFFFooooGHHHooGooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Dv2,A>1\n"]}} {"board": "ooooooooooooooAABooCCCBoooooBoooooDD", "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: ooooooooooooooAABooCCCBoooooBoooooDD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<2,Bv1,A>2\n"]}} {"board": "oooBBBooCoooooCooooooDDDooooEoooAAEo", "size": 6, "moves": 3, "solution": ["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: oooBBBooCoooooCooooooDDDooooEoooAAEo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<2,E^1,A>2\n"]}} {"board": "oooooooooBBBCCCooDoEoAADoEoooDoEoooo", "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: oooooooooBBBCCCooDoEoAADoEoooDoEoooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,D^2,A>1\n"]}} {"board": "ooooooooooooAABooCDEBFoCDEBFoCDEoFoo", "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: ooooooooooooAABooCDEBFoCDEBFoCDEoFoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>4\n"]}} {"board": "ooBBBooAAoCoooooCoDEoFCoDEoFGGDEoHHo", "size": 6, "moves": 4, "solution": ["F^1", "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: ooBBBooAAoCoooooCoDEoFCoDEoFGGDEoHHo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,G<2,Cv1,A>3\n"]}} {"board": "oAABoooooBooooCCoooooDDDEEEooooooFFo", "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: oAABoooooBooooCCoooooDDDEEEooooooFFo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,Bv1,A>3\n"]}} {"board": "BooCCCBooDooAAoDoEFFoDoEoooooEoooooo", "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: BooCCCBooDooAAoDoEFFoDoEoooooEoooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv2,Dv1,A>4\n"]}} {"board": "BCooooBCoDEooCoDEooAADEFGGHooFooHoII", "size": 6, "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 (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BCooooBCoDEooCoDEooAADEFGGHooFooHoII\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E^1,F^2,A>3\n"]}} {"board": "oooBBBoCCCoDoooooDooEFooooEFGoAAEFGo", "size": 6, "moves": 4, "solution": ["E^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: oooBBBoCCCoDoooooDooEFooooEFGoAAEFGo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,F^1,G^1,A>4\n"]}} {"board": "ooooooBBBooooAAoCoDoooCoDoooCooooEEo", "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: ooooooBBBooooAAoCoDoooCoDoooCooooEEo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Cv1,A>3\n"]}} {"board": "oAAoBCooDDBCEEoFoooooFGGHHHoIooJJJIo", "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: oAAoBCooDDBCEEoFoooooFGGHHHoIooJJJIo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>3\n"]}} {"board": "AAoooBoooooBoCCCoBoDoEEEoDoooooDoooo", "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: AAoooBoooooBoCCCoBoDoEEEoDoooooDoooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv1,A>4\n"]}} {"board": "ooooooooBBBooCCCooDooooEDooFoEDAAFoE", "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: ooooooooBBBooCCCooDooooEDooFoEDAAFoE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,F^1,A>3\n"]}} {"board": "ooBCCCooBDDDAABooEFoGGoEFoooooFooHHH", "size": 6, "moves": 4, "solution": ["Ev1", "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: ooBCCCooBDDDAABooEFoGGoEFoooooFooHHH\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,F>1,Bv3,A>4\n"]}} {"board": "BBBooCoooooCoooAACoDooEEFDooGoFDooGo", "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: BBBooCoooooCoooAACoDooEEFDooGoFDooGo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Cv3,A>1\n"]}} {"board": "ooooooBooCCCBooooooooAADoooooDoooooD", "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: ooooooBooCCCBooooooooAADoooooDoooooD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,D^3,A>1\n"]}} {"board": "oBBBooooooooooooooAAoCoooooCDDoooCoo", "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: oBBBooooooooooooooAAoCoooooCDDoooCoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,C^3,A>4\n"]}} {"board": "ooooooAABooCDDBooCooooECooFFEoGGGoEo", "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: ooooooAABooCDDBooCooooECooFFEoGGGoEo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>4\n"]}} {"board": "ooooooooooBoooCoBoooCDDDAACEoooooEoo", "size": 6, "moves": 4, "solution": ["C^2", "D<3", "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: ooooooooooBoooCoBoooCDDDAACEoooooEoo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,D<3,E^2,A>4\n"]}} {"board": "oAAoBCoDooBCoDooEEoFFGGGoHHIIJooKKKJ", "size": 6, "moves": 4, "solution": ["E<2", "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: oAAoBCoDooBCoDooEEoFFGGGoHHIIJooKKKJ\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<2,Bv1,Bv1,A>3\n"]}} {"board": "ooBoooooBoCooAAoCDEFGooDEFGoooEFGooo", "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: ooBoooooBoCooAAoCDEFGooDEFGoooEFGooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^2,A>3\n"]}} {"board": "oooooooooBBBoooCCCoooooDAAoooDoooooD", "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: oooooooooBBBoooCCCoooooDAAoooDoooooD\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,C<1,D^2,A>4\n"]}} {"board": "oooBoooooBooooooooAACoDoooCEDoooCEDo", "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: oooBoooooBooooooooAACoDoooCEDoooCEDo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^3,D^3,A>4\n"]}} {"board": "BooCCCBAAooDBoEEoDooooFFGGGHHooooooo", "size": 6, "moves": 3, "solution": ["F<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: BooCCCBAAooDBoEEoDooooFFGGGHHooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Dv1,A>3\n"]}} {"board": "oBoooooBooCooAAoCDoooooDoooooDoooooo", "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: oBoooooBooCooAAoCDoooooDoooooDoooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,Dv1,A>3\n"]}} {"board": "BBBooooooooooooooooooCDooAACDoEEoCDo", "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: BBBooooooooooooooooooCDooAACDoEEoCDo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,D^2,A>3\n"]}} {"board": "ooAABoooooBooooCCooooDoooooDoooooDoo", "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: ooAABoooooBooooCCooooDoooooDoooooDoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,Bv1,A>2\n"]}} {"board": "oooBBBooooCoooooCoAAooCoDDEFFFooEooo", "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: oooBBBooooCoooooCoAAooCoDDEFFFooEooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,C^1,A>4\n"]}} {"board": "oBoooCoBoAACooDDDEooFooEoGFHHooGFIIo", "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: oBoooCoBoAACooDDDEooFooEoGFHHooGFIIo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv2,Cv2,A>1\n"]}} {"board": "ooBoooooBooooCCCooDoAAEFDoooEFDoooEo", "size": 6, "moves": 3, "solution": ["E^3", "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: ooBoooooBooooCCCooDoAAEFDoooEFDoooEo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^3,F^2,A>2\n"]}} {"board": "ooooooAAoBoCoooBoCoooooCoooooooooDDo", "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: ooooooAAoBoCoooBoCoooooCoooooooooDDo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>4\n"]}} {"board": "oAABoCoDDBoCooEEECooFoooooFooooooooo", "size": 6, "moves": 4, "solution": ["Cv1", "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: oAABoCoDDBoCooEEECooFoooooFooooooooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,E<2,Bv1,A>3\n"]}} {"board": "oooooooooooooooBBBAAooCoooooCoooooCo", "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: oooooooooooooooBBBAAooCoooooCoooooCo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,C^3,A>4\n"]}} {"board": "ooAAoBCCoDDBEoFFoBEoGoHHEoGooIooGooI", "size": 6, "moves": 3, "solution": ["H<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: ooAAoBCCoDDBEoFFoBEoGoHHEoGooIooGooI\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nH<1,Bv1,A>2\n"]}} {"board": "oooooBAAoooBoooooBoooCCCoooooooDDooo", "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: oooooBAAoooBoooooBoooCCCoooooooDDooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,Bv2,A>4\n"]}} {"board": "oooooBCoAAoBCooooBCDoEEEoDFFoooooGGG", "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: oooooBCoAAoBCooooBCDoEEEoDFFoooooGGG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv2,A>2\n"]}} {"board": "oooBBBooooCoooooCDAAooCDooEEEooooooo", "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: oooBBBooooCoooooCDAAooCDooEEEooooooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,C^1,D^1,A>4\n"]}} {"board": "oooBCoDEoBCoDEoBCooEoFFFoAAooGoooooG", "size": 6, "moves": 3, "solution": ["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: oooBCoDEoBCoDEoBCooEoFFFoAAooGoooooG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,G^2,A>3\n"]}} {"board": "ooBooCooBooCAAoooCDEoFFFDEoGGoDEoooo", "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: ooBooCooBooCAAoooCDEoFFFDEoGGoDEoooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Cv3,A>4\n"]}} {"board": "ooooooooBBBooooooooAAoCoooDoCoooDoCo", "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: ooooooooBBBooooooooAAoCoooDoCoooDoCo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,C^3,A>3\n"]}} {"board": "ooBoooooBooooooCCCoAAooDoooooDoooooD", "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: ooBoooooBooooooCCCoAAooDoooooDoooooD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,D^3,A>3\n"]}} {"board": "oBBBooooCCCoooooooAADoooooDoooooDEEE", "size": 6, "moves": 4, "solution": ["B>2", "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: oBBBooooCCCoooooooAADoooooDoooooDEEE\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB>2,C>1,D^3,A>4\n"]}} {"board": "oooBBBoooooCoooooCDEAAFoDEooFoDGGGFo", "size": 6, "moves": 3, "solution": ["B<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: oooBBBoooooCoooooCDEAAFoDEooFoDGGGFo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,F^3,A>2\n"]}} {"board": "oBBBCDooooCDEoAACoEFoooGoFHHoGoFIIIG", "size": 6, "moves": 4, "solution": ["F^1", "I<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: oBBBCDooooCDEoAACoEFoooGoFHHoGoFIIIG\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,I<1,Cv3,A>2\n"]}} {"board": "ooooooooBBBooooCCCooAADoooooDEooFFDE", "size": 6, "moves": 4, "solution": ["B<1", "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: ooooooooBBBooooCCCooAADoooooDEooFFDE\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,C<2,D^3,A>2\n"]}} {"board": "ooooooooBoooooBCCCoDBooEoDoAAEoooFFo", "size": 6, "moves": 4, "solution": ["Bv2", "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: ooooooooBoooooBCCCoDBooEoDoAAEoooFFo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,B<1,E^1,A>1\n"]}} {"board": "ooooooooooooAABooCooBooCooBDDCoooooo", "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: ooooooooooooAABooCooBooCooBDDCoooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>4\n"]}} {"board": "AABoooCoBDooCEFDooCEFDooGoHHooGooIIo", "size": 6, "moves": 4, "solution": ["H>1", "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: AABoooCoBDooCEFDooCEFDooGoHHooGooIIo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nH>1,Fv1,Bv1,A>4\n"]}} {"board": "oooBoooAABooCCooooooDDooEEoooooooFFo", "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: oooBoooAABooCCooooooDDooEEoooooooFFo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv2,A>3\n"]}} {"board": "ooooooAAoBoooooBCCoDDDEoFFFoEGooooEG", "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: ooooooAAoBoooooBCCoDDDEoFFFoEGooooEG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv1,A>4\n"]}} {"board": "oooBBBoooCCCooooooDoAAEoDoooEoooooEo", "size": 6, "moves": 4, "solution": ["B<2", "C<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: oooBBBoooCCCooooooDoAAEoDoooEoooooEo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,C<2,E^3,A>2\n"]}} {"board": "ooBBBoooooooCCCDEooooDEoAAoDEooooFFF", "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: ooBBBoooooooCCCDEooooDEoAAoDEooooFFF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E^1,A>4\n"]}} {"board": "oooBCooAABCooooooooooDDDEEEoooFFoGGG", "size": 6, "moves": 4, "solution": ["D<3", "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: oooBCooAABCooooooooooDDDEEEoooFFoGGG\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<3,Bv2,Bv2,A>3\n"]}} {"board": "ooooooAABoooooBoooooBCCooDDoEEoooooo", "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: ooooooAABoooooBoooooBCCooDDoEEoooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv1,A>4\n"]}} {"board": "oBBBooooAACooDooCoEDoFFoEDGGooEoHHHo", "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: oBBBooooAACooDooCoEDoFFoEDGGooEoHHHo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Cv1,A>2\n"]}} {"board": "ooAAoBCCDDoBoooEEEoooooFoGoHHFoGoooF", "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: ooAAoBCCDDoBoooEEEoooooFoGoHHFoGoooF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv1,A>2\n"]}} {"board": "BoooooBoAAoCBDDooCEooFFFEoGHHHEoGooo", "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: BoooooBoAAoCBDDooCEooFFFEoGHHHEoGooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Cv1,A>2\n"]}} {"board": "oAABooCCoBoooDDEEooooFFoGGGoooooHHoo", "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: oAABooCCoBoooDDEEooooFFoGGGoooooHHoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE>1,Bv1,A>3\n"]}} {"board": "BoCCCoBoDoooBoDoooAADEooFooEGGFoHHHo", "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: BoCCCoBoDoooBoDoooAADEooFooEGGFoHHHo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC>1,D^1,E^2,A>4\n"]}} {"board": "ooooooooBoooooBoooooAACDooooCDoooooo", "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: ooooooooBoooooBoooooAACDooooCDoooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,D^2,A>2\n"]}} {"board": "ooooooAAoooBoooooBooCooDEECFoDooCFoo", "size": 6, "moves": 3, "solution": ["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: ooooooAAoooBoooooBooCooDEECFoDooCFoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,Bv1,A>4\n"]}} {"board": "oooBoCoooBoCAAoBoCoooooooDDooooooooo", "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: oooBoCoooBoCAAoBoCoooooooDDooooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv3,Bv3,A>4\n"]}} {"board": "ooooooooooBCoAAoBCooooooooooooooDDoo", "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: ooooooooooBCoAAoBCooooooooooooooDDoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,C^1,A>3\n"]}} {"board": "oooooooooBoooooBoooAABCDoEEECDoFFoCD", "size": 6, "moves": 4, "solution": ["B^1", "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: oooooooooBoooooBoooAABCDoEEECDoFFoCD\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,C^3,D^3,A>3\n"]}} {"board": "oooBoCoAABoCoooooCoDDooooooooooooooo", "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: oooBoCoAABoCoooooCoDDooooooooooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,Bv2,A>3\n"]}} {"board": "oooooBooAAoBoooooCoooooCoooDDooooooo", "size": 6, "moves": 3, "solution": ["Cv2", "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: oooooBooAAoBoooooCoooooCoooDDooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,Bv2,A>2\n"]}} {"board": "ooAABCDDDoBCooooBCoooEEEooooooooFFFo", "size": 6, "moves": 4, "solution": ["E<2", "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: ooAABCDDDoBCooooBCoooEEEooooooooFFFo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<2,Bv1,Bv1,A>2\n"]}} {"board": "oooAABooCCoBDDDEoFoGGEoFHHHIoFoJJIoo", "size": 6, "moves": 3, "solution": ["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: oooAABooCCoBDDDEoFoGGEoFHHHIoFoJJIoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nFv1,Bv1,A>1\n"]}} {"board": "oooBCoAAoBCoDooBooDooooEDooooEooFFoE", "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: oooBCoAAoBCoDooBooDooooEDooooEooFFoE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,Bv2,A>4\n"]}} {"board": "oBBBoooAAooCDDoooCoEoooCoEoFFFoEoGGo", "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: oBBBoooAAooCDDoooCoEoooCoEoFFFoEoGGo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Cv1,A>3\n"]}} {"board": "ooAAoBCCDDoBoooEEEFFGGoHoIIIJHooKKJH", "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: ooAAoBCCDDoBoooEEEFFGGoHoIIIJHooKKJH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv1,A>2\n"]}} {"board": "ooooooBoooooBoCDooooCDEooAADEoooooEo", "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: ooooooBoooooBoCDooooCDEooAADEoooooEo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E^2,A>3\n"]}} {"board": "ooBoooAABoooCCooooooDDoooooooooooooo", "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: ooBoooAABoooCCooooooDDoooooooooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<2,Bv2,A>4\n"]}} {"board": "ooAABoCCCoBoooooBooooDDooEEEoFGGoooF", "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: ooAABoCCCoBoooooBooooDDooEEEoFGGoooF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv1,A>2\n"]}} {"board": "oBoooCoBoooCoBAAoCDDDooooooEEEoooFFF", "size": 6, "moves": 4, "solution": ["E<1", "F<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: oBoooCoBoooCoBAAoCDDDooooooEEEoooFFF\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,F<1,Cv3,A>2\n"]}} {"board": "oooooBoooAABoooCCBDooEEEDooFooDooFoo", "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: oooooBoooAABoooCCBDooEEEDooFooDooFoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv2,A>1\n"]}} {"board": "oooBBBAAooCooDDDCooEEoCooooFFFoooGGo", "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: oooBBBAAooCooDDDCooEEoCooooFFFoooGGo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<2,Cv1,A>4\n"]}} {"board": "BoooooBCoooDBCEEEDoCooooooAAoFoGGooF", "size": 6, "moves": 3, "solution": ["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: BoooooBCoooDBCEEEDoCooooooAAoFoGGooF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,F^2,A>2\n"]}} {"board": "BoCCCoBoAAoDBoEEoDFFFooDGHoIIIGHoooo", "size": 6, "moves": 3, "solution": ["I<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: BoCCCoBoAAoDBoEEoDFFFooDGHoIIIGHoooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nI<1,Dv1,A>2\n"]}} {"board": "BBBoooAAoCoDoooCoDEFFoooEoGGGoooooHH", "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: BBBoooAAoCoDoooCoDEFFoooEoGGGoooooHH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Cv1,A>4\n"]}} {"board": "BoCCCoBoooooBooDoooooDoEAAoDoEoooooE", "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: BoCCCoBoooooBooDoooooDoEAAoDoEoooooE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E^2,A>4\n"]}} {"board": "ooBoooAABCoooooCoooooooooooooooooooo", "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: ooBoooAABCoooooCoooooooooooooooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,Bv1,A>4\n"]}} {"board": "BoCooDBoCEoDAAoEoDFooGHoFIIGHoFooGHo", "size": 6, "moves": 3, "solution": ["Dv3", "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: BoCooDBoCEoDAAoEoDFooGHoFIIGHoFooGHo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv3,D^1,A>4\n"]}} {"board": "ooooBCoAAoBCDoooBoDEFFoGDEHooGoEHooo", "size": 6, "moves": 4, "solution": ["Bv2", "Gv1", "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: ooooBCoAAoBCDoooBoDEFFoGDEHooGoEHooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,Gv1,Bv2,A>3\n"]}} {"board": "ooooBooCAABooCDDEooCooEFoooooFooGGoF", "size": 6, "moves": 3, "solution": ["Ev2", "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: ooooBooCAABooCDDEooCooEFoooooFooGGoF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv2,Bv2,A>2\n"]}} {"board": "oooooooooooBooCAABooCooBooCoDDoooEEo", "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: oooooooooooBooCAABooCooBooCoDDoooEEo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv2,A>1\n"]}} {"board": "oooooooooooooooooooooooBoAAoCBoDDDCB", "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: oooooooooooooooooooooooBoAAoCBoDDDCB\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^2,C^2,A>3\n"]}} {"board": "BBBCCCoDooEooDAAEooFGGGoHFIIoJHoKKoJ", "size": 6, "moves": 4, "solution": ["Fv1", "F<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: BBBCCCoDooEooDAAEooFGGGoHFIIoJHoKKoJ\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nFv1,F<1,Ev2,A>2\n"]}} {"board": "oooooooooooooooBBBoooCCCoAAoDoooooDo", "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: oooooooooooooooBBBoooCCCoAAoDoooooDo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,C<2,D^2,A>3\n"]}} {"board": "oooooooooooooooooooooBCoAAoBCoooDDCo", "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: oooooooooooooooooooooBCoAAoBCoooDDCo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,C^2,A>4\n"]}} {"board": "oooBoooooBooooooooooooCoAADoCoooDoCo", "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: oooBoooooBooooooooooooCoAADoCoooDoCo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,D^2,A>4\n"]}} {"board": "ooBBBooAAoCooDDECoFooECoFooGGoFooooo", "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: ooBBBooAAoCooDDECoFooECoFooGGoFooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,Cv1,A>3\n"]}} {"board": "AAoooBooCCoBoDDDoEoFFFoEGGoHoEIIoHoo", "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: AAoooBooCCoBoDDDoEoFFFoEGGoHoEIIoHoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,Bv1,A>4\n"]}} {"board": "BooooCBAAooCBoooDDEFFoooEooGGGoooHHH", "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: BooooCBAAooCBoooDDEFFoooEooGGGoooHHH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Cv2,A>3\n"]}} {"board": "oAAoBoooCoBoooCDDooEoFFGoEoooGoEoHHH", "size": 6, "moves": 4, "solution": ["Cv2", "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: oAAoBoooCoBoooCDDooEoFFGoEoooGoEoHHH\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,C<1,Bv1,A>3\n"]}} {"board": "ooooooBAAoCDBoooCDBoEECooFFFoooooooo", "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: ooooooBAAoCDBoooCDBoEECooFFFoooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Cv1,A>3\n"]}} {"board": "ooBoooAABCoooooCoooDoCooEDooooEDoooo", "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: ooBoooAABCoooooCoooDoCooEDooooEDoooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,Bv1,A>4\n"]}} {"board": "oooAABoooooBoCCDEEFooDoGFHHDoGoooooG", "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: oooAABoooooBoCCDEEFooDoGFHHDoGoooooG\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,D<1,Bv1,A>1\n"]}} {"board": "ooBBBoooCCCoDDDoooEEEoFGoAAoFGooooFG", "size": 6, "moves": 4, "solution": ["C<1", "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: ooBBBoooCCCoDDDoooEEEoFGoAAoFGooooFG\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,F^2,G^2,A>3\n"]}} {"board": "oooBBBoCooDooCoEDoFFFEDGAAoEoGoooooG", "size": 6, "moves": 3, "solution": ["E^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: oooBBBoCooDooCoEDoFFFEDGAAoEoGoooooG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,G^2,A>4\n"]}} {"board": "oooooooooooooooooBCooooBCooooDCooAAD", "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: oooooooooooooooooBCooooBCooooDCooAAD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,D^1,A>1\n"]}} {"board": "oooooooAABooCCoBDooEEBDoFFFGGooooooo", "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: oooooooAABooCCoBDooEEBDoFFFGGooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nG>1,Bv1,A>3\n"]}} {"board": "oooBBBoooCDooooCDoooAAoEoooooEFFFooE", "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: oooBBBoooCDooooCDoooAAoEoooooEFFFooE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,E^3,A>2\n"]}} {"board": "ooooBoooAABoooCDDDEECooooooooooooooo", "size": 6, "moves": 4, "solution": ["Cv1", "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: ooooBoooAABoooCDDDEECooooooooooooooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,C<2,Bv2,A>2\n"]}} {"board": "oooBBBoooooooooooooAAooCooDDoCoooooC", "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: oooBBBoooooooooooooAAooCooDDoCoooooC\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,C^3,A>3\n"]}} {"board": "BBBoooCCCoDEooAADEooFoGGHHFIJoooFIJo", "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: BBBoooCCCoDEooAADEooFoGGHHFIJoooFIJo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E^1,A>2\n"]}} {"board": "ooooooooooooBCoDDDBCoooooCAAoEoooooE", "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: ooooooooooooBCoDDDBCoooooCAAoEoooooE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,E^2,A>2\n"]}} {"board": "ooBoooAABooCoooooCoooooCooooooooooDD", "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: ooBoooAABooCoooooCoooooCooooooooooDD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,Bv1,A>4\n"]}} {"board": "oooooooooBooAAoBoooooBCCoooooooooDDo", "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: oooooooooBooAAoBoooooBCCoooooooooDDo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<2,Bv2,A>4\n"]}} {"board": "ooBoooAABoooCCBDDooEEoFFoooGGHoooooH", "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: ooBoooAABoooCCBDDooEEoFFoooGGHoooooH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv2,A>4\n"]}} {"board": "ooooooooooBooAAoBoooooBooooCCooooDDD", "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: ooooooooooBooAAoBoooooBooooCCooooDDD\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,D<2,Bv2,A>3\n"]}} {"board": "ooooBoAAooBoooooBCoDoooCoDoEEooFFooo", "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: ooooBoAAooBoooooBCoDoooCoDoEEooFFooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv2,A>4\n"]}} {"board": "oooooooAAoBooooCBooooCBooooDDDoooooo", "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: oooooooAAoBooooCBooooCBooooDDDoooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<2,Bv1,A>3\n"]}} {"board": "oBooCooBooCoooAACDEoFGoDEoFGooEooGoo", "size": 6, "moves": 3, "solution": ["Cv3", "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: oBooCooBooCoooAACDEoFGoDEoFGooEooGoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv3,C^2,A>2\n"]}} {"board": "BoooooBooooooooCCCDAAoEoDoFoEoDoFoEo", "size": 6, "moves": 3, "solution": ["C<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: BoooooBooooooooCCCDAAoEoDoFoEoDoFoEo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,E^3,A>3\n"]}} {"board": "oooooBCoAAoBCDEEEooDooFFoDGHHHIIGJJJ", "size": 6, "moves": 3, "solution": ["F<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: oooooBCoAAoBCDEEEooDooFFoDGHHHIIGJJJ\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Bv2,A>2\n"]}} {"board": "BoCDooBoCDoooooDoooEEEFoAAooFGHHooFG", "size": 6, "moves": 3, "solution": ["F^2", "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: BoCDooBoCDoooooDoooEEEFoAAooFGHHooFG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^2,G^2,A>4\n"]}} {"board": "oooooBoooAABCCoDDDooooEEooooooooFFoo", "size": 6, "moves": 4, "solution": ["D<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: oooooBoooAABCCoDDDooooEEooooooooFFoo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,E<1,Bv2,A>1\n"]}} {"board": "oBoCCCoBoDDDEoAAFoEGooFoHGoIIoHGJJoo", "size": 6, "moves": 3, "solution": ["I<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: oBoCCCoBoDDDEoAAFoEGooFoHGoIIoHGJJoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nI<1,Fv1,A>2\n"]}} {"board": "oooooooooooBoooCoBooDCoBAADoEoooDoEo", "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: oooooooooooBoooCoBooDCoBAADoEoooDoEo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,E^2,A>4\n"]}} {"board": "ooooBCDoooBCDoAAoCooooEEFFooooooooGG", "size": 6, "moves": 4, "solution": ["E<1", "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: ooooBCDoooBCDoAAoCooooEEFFooooooooGG\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,G<1,Cv3,A>2\n"]}} {"board": "BooCooBAACooBooCooooooooooDDDoEEoooo", "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: BooCooBAACooBooCooooooooooDDDoEEoooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<2,Cv2,A>3\n"]}} {"board": "oooooBoooooBooCAABooCooooooDDDEEoooo", "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: oooooBoooooBooCAABooCooooooDDDEEoooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv3,A>1\n"]}} {"board": "oooBBBoooooooAAoCDoEEECDooFFoooGGGoo", "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: oooBBBoooooooAAoCDoEEECDooFFoooGGGoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Cv1,A>3\n"]}} {"board": "oooBBBooCoooooCDooAAoDooEooDooEooooo", "size": 6, "moves": 3, "solution": ["B<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: oooBBBooCoooooCDooAAoDooEooDooEooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<3,D^2,A>4\n"]}} {"board": "ooooBoAAoCBooDDCoooooEEEooooooFFoooo", "size": 6, "moves": 4, "solution": ["E<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: ooooBoAAoCBooDDCoooooEEEooooooFFoooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<3,Bv2,Bv1,A>4\n"]}} {"board": "oooooooooBCoDAABCoDoooEEDooooooooooo", "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: oooooooooBCoDAABCoDoooEEDooooooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,C^1,A>3\n"]}} {"board": "BoooooBoooooBoooCoAAooCDooooCDoooooD", "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: BoooooBoooooBoooCoAAooCDooooCDoooooD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,D^3,A>4\n"]}} {"board": "ooooBCoAAoBCDoEEooDoooFFDGGGoooooooo", "size": 6, "moves": 4, "solution": ["F<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: ooooBCoAAoBCDoEEooDoooFFDGGGoooooooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<2,Bv2,Bv2,A>3\n"]}} {"board": "ooooooooooooAAoBoooooBooooCBooooCDDD", "size": 6, "moves": 4, "solution": ["C^1", "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: ooooooooooooAAoBoooooBooooCBooooCDDD\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D<3,Bv1,A>4\n"]}} {"board": "oAAooBooCCCBoooooBooooDDooooEEooFFoo", "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: oAAooBooCCCBoooooBooooDDooooEEooFFoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv1,A>3\n"]}} {"board": "oooooooAABCoDDoBCooEoBoooEoooooooooo", "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: oooooooAABCoDDoBCooEoBoooEoooooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>3\n"]}} {"board": "oBoCCCoBoDDDoooooEFGGGoEFAAooEFoHHII", "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: oBoCCCoBoDDDoooooEFGGGoEFAAooEFoHHII\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,E^1,A>3\n"]}} {"board": "oooBooAAoBoooooBoooooCCoooooDDoEEooo", "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: oooBooAAoBoooooBoooooCCoooooDDoEEooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,Bv2,A>4\n"]}} {"board": "oooooBoooAABoooooBoooCCCooDDooEEEooo", "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: oooooBoooAABoooooBoooCCCooDDooEEEooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,Bv2,A>1\n"]}} {"board": "oBCDDDoBCooooBCAAEFGHHoEFGIooEoGIoJJ", "size": 6, "moves": 3, "solution": ["J<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: oBCDDDoBCooooBCAAEFGHHoEFGIooEoGIoJJ\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nJ<1,Ev1,A>1\n"]}} {"board": "oooBBBooAAoCDEFFFCDEoGGGDEHHIIoooooo", "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: oooBBBooAAoCDEFFFCDEoGGGDEHHIIoooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,Cv1,A>2\n"]}} {"board": "oooooooooBoooooBoCDoAAECDoooECDooooo", "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: oooooooooBoooooBoCDoAAECDoooECDooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,E^2,A>2\n"]}} {"board": "ooooooooBAACooBooCDDoooCooooEEoooooo", "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: ooooooooBAACooBooCDDoooCooooEEoooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Cv1,A>1\n"]}} {"board": "oBBBooCoooooCoAADoooooDoooEEDoooFFFo", "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: oBBBooCoooooCoAADoooooDoooEEDoooFFFo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Dv1,A>2\n"]}} {"board": "ooAAoBCCCooBoDDooBoEEEFFoooGHHIIIGoo", "size": 6, "moves": 4, "solution": ["E<1", "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: ooAAoBCCCooBoDDooBoEEEFFoooGHHIIIGoo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,F<1,Bv1,A>2\n"]}} {"board": "oooooBoAAooBoooooBoooCCCooDoooooDooo", "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: oooooBoAAooBoooooBoooCCCooDoooooDooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,Bv2,A>3\n"]}} {"board": "oooooBooCoDBAACoDBooooooEFFoooEooooo", "size": 6, "moves": 4, "solution": ["Bv3", "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: oooooBooCoDBAACoDBooooooEFFoooEooooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv3,B^1,C^1,A>4\n"]}} {"board": "oooooooooBCooooBCoAADoCEooDooEooDooE", "size": 6, "moves": 4, "solution": ["C^1", "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: oooooooooBCooooBCoAADoCEooDooEooDooE\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^3,E^3,A>4\n"]}} {"board": "oBBBooooooooooooCoooooCoooAACDoooooD", "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: oBBBooooooooooooCoooooCoooAACDoooooD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^2,A>2\n"]}} {"board": "oooBooAAoBoooCCBoooooDDooooooooooEEE", "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: oooBooAAoBoooCCBoooooDDooooooooooEEE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<2,Bv2,A>4\n"]}} {"board": "oBoCCCDBEEEFDBGHoFooGHoooIIIJKAAooJK", "size": 6, "moves": 3, "solution": ["J^1", "K^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: oBoCCCDBEEEFDBGHoFooGHoooIIIJKAAooJK\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nJ^1,K^1,A>4\n"]}} {"board": "AAoBooCDoBooCDoBooCDEFFoooEoooooEooo", "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: AAoBooCDoBooCDoBooCDEFFoooEoooooEooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF>1,Bv1,A>4\n"]}} {"board": "ooBBBCoooAACooooDDoEEEFoGGoHFoIIoHoo", "size": 6, "moves": 3, "solution": ["D<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: ooBBBCoooAACooooDDoEEEFoGGoHFoIIoHoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Cv2,A>1\n"]}} {"board": "BoooooBoooooooooooAAooCDooooCDooEEoD", "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: BoooooBoooooooooooAAooCDooooCDooEEoD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,D^3,A>4\n"]}} {"board": "ooBoooAABoooooooooCCCooooooDDooooooo", "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: ooBoooAABoooooooooCCCooooooDDooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC>3,Bv2,A>4\n"]}} {"board": "BooAACBoDDECFGGGECFooHHHoooIIIooJJoo", "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: BooAACBoDDECFGGGECFooHHHoooIIIooJJoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nH<1,Cv1,A>1\n"]}} {"board": "oooooooAAooBoooooBoooooBoCoDDDoCoooo", "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: oooooooAAooBoooooBoooooBoCoDDDoCoooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv1,A>3\n"]}} {"board": "ooooooAAoBoCoooBoCoooBoCooooDDoooEEE", "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: ooooooAAoBoCoooBoCoooBoCooooDDoooEEE\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<3,Bv1,Bv1,A>4\n"]}} {"board": "oooooooooBBBoooooCAAoooCoooDDDooEEoo", "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: oooooooooBBBoooooCAAoooCoooDDDooEEoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,C^1,A>4\n"]}} {"board": "oBoooooBooCooAADCoEoFDGHEoFDGHEoFoGH", "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: oBoooooBooCooAADCoEoFDGHEoFDGHEoFoGH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,Dv1,A>3\n"]}} {"board": "oooooBoooooBoooAABoooooooooCCoooDDEE", "size": 6, "moves": 4, "solution": ["D<1", "E<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: oooooBoooooBoooAABoooooooooCCoooDDEE\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,E<1,Bv3,A>1\n"]}} {"board": "oAAooBoooooBooooCCDoooEoDoooEoDoooEo", "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: oAAooBoooooBooooCCDoooEoDoooEoDoooEo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,Bv1,A>3\n"]}} {"board": "ooBBBCooDooCooDoEoooAAEoooooEooooooo", "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: ooBBBCooDooCooDoEoooAAEoooooEooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,E^2,A>2\n"]}} {"board": "oooooooooBoooooBoooAABCoDEooCoDEooCo", "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: oooooooooBoooooBoooAABCoDEooCoDEooCo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,C^3,A>3\n"]}} {"board": "oooBBBoooCCCDoEFooDoEFoGoooAAGooHHoG", "size": 6, "moves": 3, "solution": ["C<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: oooBBBoooCCCDoEFooDoEFoGoooAAGooHHoG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,G^2,A>1\n"]}} {"board": "oooAABCCCooBoooooBooooDDoooooooooooo", "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: oooAABCCCooBoooooBooooDDoooooooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv1,A>1\n"]}} {"board": "AABooCooBooCooBoooooooooDDDEFGoooEFG", "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: AABooCooBooCooBoooooooooDDDEFGoooEFG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>4\n"]}} {"board": "ooooooBAAoCoBoooCoBoooDDoooooooooooo", "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: ooooooBAAoCoBoooCoBoooDDoooooooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<2,Cv1,A>3\n"]}} {"board": "BBBoooooooooCoooooCooDooCooDoEoAADoE", "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: BBBoooooooooCoooooCooDooCooDoEoAADoE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E^1,A>3\n"]}} {"board": "ooooooooBBBooooCoDoooCoDooAAoEooFFFE", "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: ooooooooBBBooooCoDoooCoDooAAoEooFFFE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,E^2,A>2\n"]}} {"board": "BooCCCBDEEEooDFoGoHoFoGIHooJoIAAoJoI", "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: BooCCCBDEEEooDFoGoHoFoGIHooJoIAAoJoI\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nI^1,J^1,A>4\n"]}} {"board": "ooooooooooooooooooooBCooAABCooooBooo", "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: ooooooooooooooooooooBCooAABCooooBooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^2,C^1,A>4\n"]}} {"board": "oooooBoAACoBoooCDBoooCDooEFoDooEFGGG", "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: oooooBoAACoBoooCDBoooCDooEFoDooEFGGG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,Bv1,A>3\n"]}} {"board": "oBoCCCoBAAoDEEEFFDoGHHHDoGoIIIoGoJJJ", "size": 6, "moves": 3, "solution": ["I<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: oBoCCCoBAAoDEEEFFDoGHHHDoGoIIIoGoJJJ\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nI<1,Dv1,A>2\n"]}} {"board": "oooBooCDoBoECDFFFEoooooGAAoooGooHHHo", "size": 6, "moves": 3, "solution": ["E^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: oooBooCDoBoECDFFFEoooooGAAoooGooHHHo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,G^1,A>4\n"]}} {"board": "ooBCooooBCoDooBCEDAAooEDooFFooooooGG", "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: ooBCooooBCoDooBCEDAAooEDooFFooooooGG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E^1,A>4\n"]}} {"board": "ooooBoooAABoooooooooCCCoooooooooooDD", "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: ooooBoooAABoooooooooCCCoooooooooooDD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,Bv2,A>2\n"]}} {"board": "oooBooAAoBoooooBoooooooooCCCDDoooooo", "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: oooBooAAoBoooooBoooooooooCCCDDoooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,Bv2,A>4\n"]}} {"board": "BCoooDBCoooDoooooooooEEEAAoFoooooFoo", "size": 6, "moves": 3, "solution": ["E<3", "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: BCoooDBCoooDoooooooooEEEAAoFoooooFoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<3,F^2,A>4\n"]}} {"board": "AAooBoooooBooooCCCoooDEFoooDEFoooDoF", "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: AAooBoooooBooooCCCoooDEFoooDEFoooDoF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,Bv1,A>4\n"]}} {"board": "ooBCCCooBooooooooooooAADoEoooDoEoFFD", "size": 6, "moves": 4, "solution": ["Bv1", "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: ooBCCCooBooooooooooooAADoEoooDoEoFFD\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,B<1,D^3,A>1\n"]}} {"board": "BBBoCoAAooCDooooCDoooooDooEEooFFoooo", "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: BBBoCoAAooCDooooCDoooooDooEEooFFoooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,Cv1,A>4\n"]}} {"board": "BoooooBooCCCBDoEEEoDooFoooooFoAAooFo", "size": 6, "moves": 4, "solution": ["D^2", "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: BoooooBooCCCBDoEEEoDooFoooooFoAAooFo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,E<2,F^1,A>4\n"]}} {"board": "BooAACBooDoCBooDoCooEooFooEooFGGEooo", "size": 6, "moves": 3, "solution": ["Fv1", "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: BooAACBooDoCBooDoCooEooFooEooFGGEooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nFv1,Cv1,A>1\n"]}} {"board": "oooooBooAAoBoooooBoooCCCDDDoooooEEFF", "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: oooooBooAAoBoooooBoooCCCDDDoooooEEFF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,Bv2,A>2\n"]}} {"board": "oBBBooCDoEEECDooFGCoooFGAAoooHooIIIH", "size": 6, "moves": 4, "solution": ["E<1", "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: oBBBooCDoEEECDooFGCoooFGAAoooHooIIIH\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,G^2,H^2,A>4\n"]}} {"board": "BAACooBooCDooEEEDFooGGHFoIJJHFoIooHo", "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: BAACooBooCDooEEEDFooGGHFoIJJHFoIooHo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Cv1,A>3\n"]}} {"board": "BAACooBDDCEEFoGGGoFooHIIFJoHKLoJoHKL", "size": 6, "moves": 4, "solution": ["Fv1", "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: BAACooBDDCEEFoGGGoFooHIIFJoHKLoJoHKL\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nFv1,F<2,Cv1,A>3\n"]}} {"board": "BBBCooooDCEFooDCEFoGAAHFIGoJHoIGoJoo", "size": 6, "moves": 3, "solution": ["F^1", "Hv1", "A>2"], "difficulty": "medium", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBCooooDCEFooDCEFoGAAHFIGoJHoIGoJoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,Hv1,A>2\n"]}} {"board": "oBoCCCoBDoEoFoDGEoFooGEHoooIoHAAoIoH", "size": 6, "moves": 4, "solution": ["G^1", "H^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: oBoCCCoBDoEoFoDGEoFooGEHoooIoHAAoIoH\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nG^1,H^1,I^1,A>4\n"]}} {"board": "ooooBoooooBoAAooBooCCooooooooooooDDo", "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: ooooBoooooBoAAooBooCCooooooooooooDDo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv3,A>4\n"]}} {"board": "oooBoooooBoooAABoooooooooooCCCooDDDo", "size": 6, "moves": 4, "solution": ["C<3", "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: oooBoooooBoooAABoooooooooooCCCooDDDo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<3,D<2,Bv3,A>3\n"]}} {"board": "ooooooAABoooooBCCooDDDoooEoFFFoEoooo", "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: ooooooAABoooooBCCooDDDoooEoFFFoEoooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD>2,Bv1,A>4\n"]}} {"board": "oAAooBoCCDDBoEoooBoEoFFFoEooooGGGoHH", "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: oAAooBoCCDDBoEoooBoEoFFFoEooooGGGoHH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Bv1,A>3\n"]}} {"board": "ooooooooBoooooBooCAABoDCooooDCoooooo", "size": 6, "moves": 4, "solution": ["B^1", "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: ooooooooBoooooBooCAABoDCooooDCoooooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,C^2,D^2,A>4\n"]}} {"board": "ooBCCCooBoooooDDDoEooFooEooFooEAAFoo", "size": 6, "moves": 3, "solution": ["D<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: ooBCCCooBoooooDDDoEooFooEooFooEAAFoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<2,F^1,A>3\n"]}} {"board": "AAoBoooooBoooooBoooooCCCooooDoooooDo", "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: AAoBoooooBoooooBoooooCCCooooDoooooDo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<3,Bv1,A>4\n"]}} {"board": "ooooBooooCBooooCBoAAoCoDooEEoDoooooD", "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: ooooBooooCBooooCBoAAoCoDooEEoDoooooD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^3,A>4\n"]}} {"board": "AABoooooBoooooCoDDoECFFFoEoooooEooGG", "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: AABoooooBoooooCoDDoECFFFoEoooooEooGG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Bv1,A>4\n"]}} {"board": "ooooooooooBCoDooBCoDoEFCoDoEFoAAooFo", "size": 6, "moves": 3, "solution": ["B^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: ooooooooooBCoDooBCoDoEFCoDoEFoAAooFo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,F^1,A>4\n"]}} {"board": "AABooCDoBEFCDooEFCoGGEFoHHIJJJooIKKo", "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: AABooCDoBEFCDooEFCoGGEFoHHIJJJooIKKo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>4\n"]}} {"board": "oooBooAAoBoooooBoCoDDooCoooEECoooooo", "size": 6, "moves": 3, "solution": ["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: oooBooAAoBoooooBoCoDDooCoooEECoooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<2,Bv2,A>4\n"]}} {"board": "ooooooooooBooooCBooAACoDoooCoDoooooD", "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: ooooooooooBooooCBooAACoDoooCoDoooooD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,D^3,A>3\n"]}} {"board": "oAABooCooBDDCooBooEoFFooEGGoHHEooooo", "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: oAABooCooBDDCooBooEoFFooEGGoHHEooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Bv1,A>3\n"]}} {"board": "BBBooooooCDoEFoCDoEFoCGoEFooGoooAAGo", "size": 6, "moves": 3, "solution": ["D^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: BBBooooooCDoEFoCDoEFoCGoEFooGoooAAGo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,G^1,A>2\n"]}} {"board": "oooooBCooooBCAAooBoooooooooooooooDDD", "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: oooooBCooooBCAAooBoooooooooooooooDDD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv3,A>3\n"]}} {"board": "ooBBBoooooooCDDDooCAAoEFCoooEFooooEF", "size": 6, "moves": 4, "solution": ["B<1", "E^3", "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: ooBBBoooooooCDDDooCAAoEFCoooEFooooEF\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,E^3,F^3,A>3\n"]}} {"board": "ooBoooooBoCDEAAoCDEFFFooGGHHHIooJJJI", "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: ooBoooooBoCDEAAoCDEFFFooGGHHHIooJJJI\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^1,A>3\n"]}} {"board": "oooBBBooCCCoDDDoEoFoooEGFAAHoGFIIHoG", "size": 6, "moves": 3, "solution": ["G^2", "H^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: oooBBBooCCCoDDDoEoFoooEGFAAHoGFIIHoG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nG^2,H^2,A>3\n"]}} {"board": "ooBoooooBoCoDooECoDAAECoDoFEooooFGGG", "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: ooBoooooBoCoDooECoDAAECoDoFEooooFGGG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,E^2,A>3\n"]}} {"board": "AAoooBoooooBoooCCCooDEooFFDEoooooEoo", "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: AAoooBoooooBoooCCCooDEooFFDEoooooEoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,Bv1,A>4\n"]}} {"board": "ooBooCooBAACooBoDDoooEEEFFoooooooGGG", "size": 6, "moves": 4, "solution": ["D<1", "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: ooBooCooBAACooBoDDoooEEEFFoooooooGGG\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,E<1,Cv2,A>1\n"]}} {"board": "oBoCCCoBoooDooAAoDoEoooDFEoGGGFEoooo", "size": 6, "moves": 3, "solution": ["G<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: oBoCCCoBoooDooAAoDoEoooDFEoGGGFEoooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,Dv2,A>2\n"]}} {"board": "oooooooBoooooBooooooCoDoooCEDooAAEDo", "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: oooooooBoooooBooooooCoDoooCEDooAAEDo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E^1,A>3\n"]}} {"board": "oooBoooAABooCooBooCoDDEECooooooooFFF", "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: oooBoooAABooCooBooCoDDEECooooooooFFF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv2,A>3\n"]}} {"board": "AAooBCoDDoBCEoFFFoEooGoHEIIGoHooJJJH", "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: AAooBCoDDoBCEoFFFoEooGoHEIIGoHooJJJH\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,F<1,Bv1,A>4\n"]}} {"board": "oooBBBooooCoooooCoDAAooEDooFFEDGGGoE", "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: oooBBBooooCoooooCoDAAooEDooFFEDGGGoE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,E^3,A>3\n"]}} {"board": "ooAABoCCCoBooooDDDEoooooEFFFooEooooo", "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: ooAABoCCCoBooooDDDEoooooEFFFooEooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<2,Bv1,A>2\n"]}} {"board": "oBBBCoDoooCoDoooooAAoEoooooEoooooEoo", "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: oBBBCoDoooCoDoooooAAoEoooooEoooooEoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,E^3,A>4\n"]}} {"board": "AAoBCooDoBCooDEBoooDEFFooooooooooooo", "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: AAoBCooDoBCooDEBoooDEFFooooooooooooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,F>1,Bv1,A>4\n"]}} {"board": "oooBBBooAACoDDooCoEEFFCoGGooHHoooIIo", "size": 6, "moves": 3, "solution": ["H<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: oooBBBooAACoDDooCoEEFFCoGGooHHoooIIo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nH<2,Cv1,A>2\n"]}} {"board": "oooooBoooAABoooooBoooCCCoooooooDDDoo", "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: oooooBoooAABoooooBoooCCCoooooooDDDoo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,Bv2,A>1\n"]}} {"board": "ooBooCooBAACoooDDDooEEEoFFFooGoHHooG", "size": 6, "moves": 3, "solution": ["D<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: ooBooCooBAACoooDDDooEEEoFFFooGoHHooG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Cv2,A>1\n"]}} {"board": "BBBCCCooDEooooDEFoooDEFGooAAFGoooooG", "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: BBBCCCooDEooooDEFoooDEFGooAAFGoooooG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,G^2,A>2\n"]}} {"board": "oooBBBooooooooooCoooAACDooEoCDooEooo", "size": 6, "moves": 4, "solution": ["B<2", "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: oooBBBooooooooooCoooAACDooEoCDooEooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,C^2,D^2,A>2\n"]}} {"board": "AABCoooDBCoooDBoooEFoGGGEFHIIIEFHJJJ", "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: AABCoooDBCoooDBoooEFoGGGEFHIIIEFHJJJ\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>4\n"]}} {"board": "ooooooooooBoAAoCBooooCoooooCooDDoooo", "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: ooooooooooBoAAoCBooooCoooooCooDDoooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,Cv1,A>4\n"]}} {"board": "oBBBoooooCCCoDDDooooEEEoAAFoooooFoGG", "size": 6, "moves": 4, "solution": ["D>2", "E>1", "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: oBBBoooooCCCoDDDooooEEEoAAFoooooFoGG\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nD>2,E>1,F^2,A>4\n"]}} {"board": "oooooBoooooBCAAooDCooooDoEEoFFoooooo", "size": 6, "moves": 3, "solution": ["F<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: oooooBoooooBCAAooDCooooDoEEoFFoooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Dv1,A>3\n"]}} {"board": "BoooooBCoooooCoooooCoDDDoooooEAAoooE", "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: BoooooBCoooooCoooooCoDDDoooooEAAoooE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,E^1,A>4\n"]}} {"board": "oBBBooooCoooAACooDoEoooDoEoooDoEoFFF", "size": 6, "moves": 4, "solution": ["Cv2", "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: oBBBooooCoooAACooDoEoooDoEoooDoEoFFF\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,F<1,Cv1,A>4\n"]}} {"board": "BooooCBooooCooDEoCAADEoooooFoGoooFoG", "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: BooooCBooooCooDEoCAADEoooooFoGoooFoG\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E^1,A>4\n"]}} {"board": "oooooBoooooBooAAoBCCoooooooooooooDDD", "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: oooooBoooooBooAAoBCCoooooooooooooDDD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv3,A>2\n"]}} {"board": "ooBBBoooooooCooDDDCoEooFCoEooFooEAAF", "size": 6, "moves": 3, "solution": ["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: ooBBBoooooooCooDDDCoEooFCoEooFooEAAF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,F^1,A>1\n"]}} {"board": "ooooooooBooCAABooCooBoDCooooDooooooo", "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: ooooooooBooCAABooCooBoDCooooDooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,Bv2,A>4\n"]}} {"board": "oooooooooooBoooooBCCCooooooAADoooooD", "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: oooooooooooBoooooBCCCooooooAADoooooD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,D^2,A>1\n"]}} {"board": "oooooooooBBBoooooCoooooCooAAoCDDDooo", "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: oooooooooBBBoooooCoooooCooAAoCDDDooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,C^1,A>2\n"]}} {"board": "oAABoooooBoooooCCooooooooooooooooooo", "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: oAABoooooBoooooCCooooooooooooooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,Bv1,A>3\n"]}} {"board": "oBoooooBoooooooooooooCCCDAAooEDFFooE", "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: oBoooooBoooooooooooooCCCDAAooEDFFooE\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,E^2,A>3\n"]}} {"board": "oooooBooooCBoAAoCBDoooCoDEooooDEoooo", "size": 6, "moves": 3, "solution": ["Bv3", "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: oooooBooooCBoAAoCBDoooCoDEooooDEoooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv3,Bv2,A>3\n"]}} {"board": "oooBBBooooCooAAoCoooDoEEFoDGGHFIIooH", "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: oooBBBooooCooAAoCoooDoEEFoDGGHFIIooH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,C^1,A>3\n"]}} {"board": "oooooBoooooBAAoooBoooCCCoooooooooooo", "size": 6, "moves": 3, "solution": ["C<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: oooooBoooooBAAoooBoooCCCoooooooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,Bv3,A>4\n"]}} {"board": "AAoBoooooBoooooBoooCCCooooooooooooDD", "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: AAoBoooooBoooooBoooCCCooooooooooooDD\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,Bv1,A>4\n"]}} {"board": "oBoooooBoCCCooDDDEFooooEFooAAEFGGHHo", "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: oBoooooBoCCCooDDDEFooooEFooAAEFGGHHo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,E^1,A>1\n"]}} {"board": "oAAoBoooooBoCoooBoCDEEFooDGoFooDGooo", "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: oAAoBoooooBoCoooBoCDEEFooDGoFooDGooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nFv1,Bv1,A>3\n"]}} {"board": "oooooBooooCBooDoCoooDoEoooDoEooAAoEo", "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: oooooBooooCBooDoCoooDoEoooDoEooAAoEo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,E^1,A>3\n"]}} {"board": "ooAABoooooBoooCDDDooCoooooCooooooooo", "size": 6, "moves": 4, "solution": ["Cv1", "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: ooAABoooooBoooCDDDooCoooooCooooooooo\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,C<2,Bv1,A>2\n"]}} {"board": "ooBBBooooCooAAoCooDEoFFFDEGHHoDEGooo", "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: ooBBBooooCooAAoCooDEoFFFDEGHHoDEGooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,C^1,A>4\n"]}} {"board": "ooooooBBBoCoAAooCoooooCoooDDDooooooo", "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: ooooooBBBoCoAAooCoooooCoooDDDooooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Cv2,A>4\n"]}} {"board": "BoooooBoooooBAACooDooCEoDooCEooooFFo", "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: BoooooBoooooBAACooDooCEoDooCEooooFFo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<2,Cv1,A>3\n"]}} {"board": "oAAoBCooooBCooooBoooooooDoooooDooooo", "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: oAAoBCooooBCooooBoooooooDoooooDooooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>3\n"]}} {"board": "oooBBBoooCCCoooooooDAAoEoDoooEoDoooE", "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: oooBBBoooCCCoooooooDAAoEoDoooEoDoooE\nOptimal length (moves): 4\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,C<1,E^3,A>2\n"]}} {"board": "oBBBoooooooooooCCCoAAoDoooooDoooooDo", "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: oBBBoooooooooooCCCoAAoDoooooDoooooDo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,D^3,A>3\n"]}} {"board": "ooooBooAAoBoCCooDDoEEEoooFooGHoFooGH", "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: ooooBooAAoBoCCooDDoEEEoooFooGHoFooGH\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<2,Bv2,A>3\n"]}} {"board": "oooBCooAABCoDoooCoDEoooooEFoooooFooo", "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: oooBCooAABCoDoooCoDEoooooEFoooooFooo\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,Bv2,A>3\n"]}} {"board": "oBBBoooooCCCAADoooEEDooFooDooFoGGooF", "size": 6, "moves": 3, "solution": ["G<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: oBBBoooooCCCAADoooEEDooFooDooFoGGooF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,Dv1,A>4\n"]}} {"board": "BoCCCoBoooooBDooEooDooEooAAoEFGGGHHF", "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: BoCCCoBoooooBDooEooDooEooAAoEFGGGHHF\nOptimal length (moves): 3\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,F^2,A>3\n"]}} {"board": "oooooBoooooBAAoooBCoDoooCoDoooCoDEEE", "size": 6, "moves": 5, "solution": ["A>3", "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: oooooBoooooBAAoooBCoDoooCoDoooCoDEEE\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>3,D^1,E<1,Bv3,A>1\n"]}} {"board": "BBBCDoAAoCDooEoFDGoEoFoGoEHooIooHJJI", "size": 6, "moves": 6, "solution": ["Dv2", "H^1", "J<2", "Ev2", "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: BBBCDoAAoCDooEoFDGoEoFoGoEHooIooHJJI\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv2,H^1,J<2,Ev2,Cv2,A>4\n"]}} {"board": "oooooooBoooooBCDDDoBCoEoooAAEoooFFEo", "size": 6, "moves": 5, "solution": ["Bv2", "B^2", "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: oooooooBoooooBCDDDoBCoEoooAAEoooFFEo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,B^2,C<2,E^2,A>2\n"]}} {"board": "ooAABoooooBCooDEECooDooCFFFoooGGoHHH", "size": 6, "moves": 5, "solution": ["F>3", "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: ooAABoooooBCooDEECooDooCFFFoooGGoHHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nF>3,Dv1,D<1,Bv1,A>2\n"]}} {"board": "oooBBBooooCoooooCoAADoCEooDooEooFFoE", "size": 6, "moves": 5, "solution": ["B<2", "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: oooBBBooooCoooooCoAADoCEooDooEooFFoE\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,C^1,D^2,E^3,A>4\n"]}} {"board": "ooooooBBBooCoooooCAADooCooDoooooDEEo", "size": 6, "moves": 8, "solution": ["Cv1", "B>3", "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: ooooooBBBooCoooooCAADooCooDoooooDEEo\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,B>3,D^3,A>3,Bv2,B<1,D^2,A>1\n"]}} {"board": "oBCoDooBCoDooBoEDoAAFEoGHHFEoGoIIIoG", "size": 6, "moves": 5, "solution": ["E^2", "G^3", "I>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: oBCoDooBCoDooBoEDoAAFEoGHHFEoGoIIIoG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^2,G^3,I>2,Gv1,A>4\n"]}} {"board": "oAABCDoooBCDEEoBCoFoGGoHFIIIJHFoooJH", "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: oAABCDoooBCDEEoBCoFoGGoHFIIIJHFoooJH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Cv1,G<1,Bv1,A>3\n"]}} {"board": "ooooBooCCCBoooooBoDEEEoFDAAGoFDooGoF", "size": 6, "moves": 5, "solution": ["D^3", "E<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: ooooBooCCCBoooooBoDEEEoFDAAGoFDooGoF\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^3,E<1,F^2,G^2,A>3\n"]}} {"board": "oBBBCoAAooCooDDECoFooEooFoGHHoFoGIII", "size": 6, "moves": 5, "solution": ["D<1", "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: oBBBCoAAooCooDDECoFooEooFoGHHoFoGIII\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,G^2,H<1,Cv2,A>4\n"]}} {"board": "ooooooooooBCoDAABCEDooBCEDFFFoooGGoo", "size": 6, "moves": 5, "solution": ["Cv2", "C^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: ooooooooooBCoDAABCEDooBCEDFFFoooGGoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,C^1,F<1,Cv2,A>2\n"]}} {"board": "oooBCoDooBCoDAABCoDooEEEoooooooFFooo", "size": 6, "moves": 5, "solution": ["D^1", "E<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: oooBCoDooBCoDAABCoDooEEEoooooooFFooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E<3,Cv3,Cv3,A>3\n"]}} {"board": "ooooBoooooBCAADooCooDEoCooDEFFoooEoo", "size": 6, "moves": 7, "solution": ["D^1", "E^2", "F<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: ooooBoooooBCAADooCooDEoCooDEFFoooEoo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E^2,F<4,Cv2,Cv2,Cv2,A>4\n"]}} {"board": "ooBoooooBCCCDDDooooooooEAAoooEoooooE", "size": 6, "moves": 7, "solution": ["D>3", "A>3", "Bv3", "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: ooBoooooBCCCDDDooooooooEAAoooEoooooE\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nD>3,A>3,Bv3,B<1,C<1,E^2,A>1\n"]}} {"board": "oooBBBCooDDDCooEEECoAAoFoooooFoooooF", "size": 6, "moves": 5, "solution": ["B<1", "D<1", "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: oooBBBCooDDDCooEEECoAAoFoooooFoooooF\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,D<1,E<1,F^3,A>2\n"]}} {"board": "BCCCooBooDooEEEDFooAADFGoHHoFGooIIoo", "size": 6, "moves": 10, "solution": ["F^2", "G^2", "I<1", "Ev2", "F>1", "Bv3", "B<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: BCCCooBooDooEEEDFooAADFGoHHoFGooIIoo\nOptimal length (moves): 10\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^2,G^2,I<1,Ev2,F>1,Bv3,B<1,E<1,G^3,A>3\n"]}} {"board": "BoCoooBoCDDDBECooooEAAoFoooooFoGGGoF", "size": 6, "moves": 5, "solution": ["A>1", "Cv2", "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: BoCoooBoCDDDBECooooEAAoFoooooFoGGGoF\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,Cv2,C<1,F^3,A>1\n"]}} {"board": "ooooooooooBoooAABooCCDBoEEoDoooooDFF", "size": 6, "moves": 6, "solution": ["A<1", "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: ooooooooooBoooAABooCCDBoEEoDoooooDFF\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<1,D^1,F<3,Bv2,Bv1,A>3\n"]}} {"board": "oBoCCCoBDDDooBoooEAAFGoEooFGoHooFIIH", "size": 6, "moves": 9, "solution": ["D>1", "F^3", "I<2", "Gv1", "A>3", "Cv2", "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: oBoCCCoBDDDooBoooEAAFGoEooFGoHooFIIH\nOptimal length (moves): 9\nReturn only the and blocks.", "\nShortest path found.\n\n\nD>1,F^3,I<2,Gv1,A>3,Cv2,D<1,F^1,A>1\n"]}} {"board": "oooooooAAooBoooooBooCDDDooCoooooCooo", "size": 6, "moves": 5, "solution": ["A>2", "C^3", "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: oooooooAAooBoooooBooCDDDooCoooooCooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,C^3,D<1,Cv1,A>1\n"]}} {"board": "ooooBooCooBoDCAABoDoEEEoDooFFFoooGGo", "size": 6, "moves": 5, "solution": ["E<1", "F<2", "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: ooooBooCooBoDCAABoDoEEEoDooFFFoooGGo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,F<2,G<1,Bv3,A>2\n"]}} {"board": "BBBooooAAooCooDDDCEEoFoCGGGFHHoIIIoo", "size": 6, "moves": 5, "solution": ["D<2", "F^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: BBBooooAAooCooDDDCEEoFoCGGGFHHoIIIoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<2,F^1,H<1,Cv1,A>3\n"]}} {"board": "oooooBooAAoBoCCooooooooDooEooDooEFFF", "size": 6, "moves": 5, "solution": ["E^1", "F<1", "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: oooooBooAAoBoCCooooooooDooEooDooEFFF\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,F<1,Ev1,Bv2,A>2\n"]}} {"board": "oBAAoCDBEooCDoEFFFDooGGGooHHIIoJJoKK", "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: oBAAoCDBEooCDoEFFFDooGGGooHHIIoJJoKK\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": "ooooBCoAAoBCoDooBCEDFFGGEDoHHHoIIIoo", "size": 6, "moves": 9, "solution": ["A>1", "D^2", "E^2", "F<2", "G<2", "H<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: ooooBCoAAoBCoDooBCEDFFGGEDoHHHoIIIoo\nOptimal length (moves): 9\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,D^2,E^2,F<2,G<2,H<2,Cv2,Cv2,A>2\n"]}} {"board": "AABCDoooBCDooEEooFGooooFGooHHFGooIIo", "size": 6, "moves": 5, "solution": ["Cv1", "Cv1", "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: AABCDoooBCDooEEooFGooooFGooHHFGooIIo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Cv1,E<1,Bv1,A>4\n"]}} {"board": "oooooBCooAABCDDDEECoFFoooGHHHooGoooo", "size": 6, "moves": 5, "solution": ["Cv2", "C<1", "D<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: oooooBCooAABCDDDEECoFFoooGHHHooGoooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,C<1,D<1,Bv2,A>1\n"]}} {"board": "ooBoooooBoooooCDDDooCooEoAAooEoooooE", "size": 6, "moves": 5, "solution": ["A>2", "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: ooBoooooBoooooCDDDooCooEoAAooEoooooE\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,Cv1,C<1,E^2,A>1\n"]}} {"board": "oooBBBCooDDDCoooEFooAAEFGGGoEFHHooII", "size": 6, "moves": 5, "solution": ["B<2", "D<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: oooBBBCooDDDCoooEFooAAEFGGGoEFHHooII\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,D<2,E^2,F^2,A>2\n"]}} {"board": "oBCDDDoBCooEooCooEAAoooEoooFFFGGGooo", "size": 6, "moves": 5, "solution": ["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: oBCDDDoBCooEooCooEAAoooEoooFFFGGGooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>3,Cv1,C<1,E^1,A>1\n"]}} {"board": "BBBooooAACooDEoCFFDEoGGGoHHoIJKKooIJ", "size": 6, "moves": 7, "solution": ["D^1", "H>1", "K>2", "Ev2", "F<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: BBBooooAACooDEoCFFDEoGGGoHHoIJKKooIJ\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,H>1,K>2,Ev2,F<3,Dv1,A>3\n"]}} {"board": "ooAABoooCCBoDDDEBoFFoEGGHHIIJJoKKKoo", "size": 6, "moves": 5, "solution": ["C<1", "E^1", "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: ooAABoooCCBoDDDEBoFFoEGGHHIIJJoKKKoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,E^1,G<2,Bv1,A>2\n"]}} {"board": "BBBoooCCCDEooAADEoFFoDooGoHHHoGooIII", "size": 6, "moves": 7, "solution": ["E^1", "F>1", "G^2", "H<2", "I<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: BBBoooCCCDEooAADEoFFoDooGoHHHoGooIII\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,F>1,G^2,H<2,I<3,Ev2,A>3\n"]}} {"board": "ooBoooooBCCCooBDDDooAAoEoooooEoooooE", "size": 6, "moves": 6, "solution": ["A>1", "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: ooBoooooBCCCooBDDDooAAoEoooooEoooooE\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,Bv3,B<1,C<1,E^3,A>1\n"]}} {"board": "oooBBBooooooAACDoEFGCDoEFGCHHHFGoIIo", "size": 6, "moves": 5, "solution": ["B<3", "Cv1", "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: oooBBBooooooAACDoEFGCDoEFGCHHHFGoIIo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<3,Cv1,C^2,D^2,A>4\n"]}} {"board": "oAAoBooCCDBEoooDFEGHHoFoGoIJJJGoIKKK", "size": 6, "moves": 7, "solution": ["G^3", "H<1", "I^2", "J<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: oAAoBooCCDBEoooDFEGHHoFoGoIJJJGoIKKK\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nG^3,H<1,I^2,J<2,Hv1,Cv1,A>3\n"]}} {"board": "oooooBoCAAoBoCooDDoEFGGGHEFoooHEFoII", "size": 6, "moves": 6, "solution": ["A>1", "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: oooooBoCAAoBoCooDDoEFGGGHEFoooHEFoII\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,D<1,F^3,G<1,Cv2,A>1\n"]}} {"board": "BooCCCBooAADEooFFDEoGHoDEoGHIIoooooo", "size": 6, "moves": 5, "solution": ["F<2", "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: BooCCCBooAADEooFFDEoGHoDEoGHIIoooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<2,H^1,I<1,Dv1,A>1\n"]}} {"board": "oAAoBoCCDDBoooEFGHooEFGHooEFGooIIoJJ", "size": 6, "moves": 5, "solution": ["I<1", "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: oAAoBoCCDDBoooEFGHooEFGHooEFGooIIoJJ\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nI<1,J<2,Gv1,Bv1,A>3\n"]}} {"board": "BoooooBoooooBCoDDDoCooEFoGGGEFooAAEF", "size": 6, "moves": 5, "solution": ["C^2", "D<2", "E^1", "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: BoooooBoooooBCoDDDoCooEFoGGGEFooAAEF\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,D<2,E^1,F^1,A>2\n"]}} {"board": "oBBBooCDDDoECooooEAAoFoEoGoFHHoGoFII", "size": 6, "moves": 7, "solution": ["B<1", "E^1", "A>1", "Dv1", "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: oBBBooCDDDoECooooEAAoFoEoGoFHHoGoFII\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,E^1,A>1,Dv1,D<1,F^3,A>3\n"]}} {"board": "AAooBoooCCBooDoEBooDoEFFoGGHHHoooIII", "size": 6, "moves": 5, "solution": ["C<1", "E^1", "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: AAooBoooCCBooDoEBooDoEFFoGGHHHoooIII\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,E^1,F<2,Bv1,A>4\n"]}} {"board": "oooBBBoooCCCoDooEFoDAAEFoDooEooooooo", "size": 6, "moves": 5, "solution": ["B<2", "C<2", "E^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: oooBBBoooCCCoDooEFoDAAEFoDooEooooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,C<2,E^2,F^1,A>2\n"]}} {"board": "ooooBoAAooBoooooBCoDDooCEoFGGGEoFooo", "size": 6, "moves": 5, "solution": ["D<1", "F^2", "G<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: ooooBoAAooBoooooBCoDDooCEoFGGGEoFooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,F^2,G<2,Bv2,A>4\n"]}} {"board": "oooooBCCCooBooAAoBDoooEEDoooFFDoooGG", "size": 6, "moves": 5, "solution": ["E<1", "F<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: oooooBCCCooBooAAoBDoooEEDoooFFDoooGG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,F<1,G<1,Bv3,A>2\n"]}} {"board": "oooooBCCCoDBEoAADBEFoGGGEFooHHoFoIII", "size": 6, "moves": 6, "solution": ["D^1", "G<1", "H<1", "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: oooooBCCCoDBEoAADBEFoGGGEFooHHoFoIII\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,G<1,H<1,I<1,Cv3,A>2\n"]}} {"board": "oooooBoCAAoBoCoooBoDooEEoDFGGGoDFooo", "size": 6, "moves": 5, "solution": ["E<1", "F^2", "G<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: oooooBoCAAoBoCoooBoDooEEoDFGGGoDFooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,F^2,G<1,Bv2,A>2\n"]}} {"board": "AAoBooooCBooooCDDDoEEooooFooGGoFoHHo", "size": 6, "moves": 5, "solution": ["E<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: AAoBooooCBooooCDDDoEEooooFooGGoFoHHo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Cv2,C<3,Bv1,A>4\n"]}} {"board": "oBAACDoBooCDooEEFFGoHHooGIoJJJGIoKKK", "size": 6, "moves": 5, "solution": ["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: oBAACDoBooCDooEEFFGoHHooGIoJJJGIoKKK\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<2,F<2,Cv1,Cv1,A>2\n"]}} {"board": "ooooBCooooBCooAAoCoDDEEEoooFFFoooooo", "size": 6, "moves": 5, "solution": ["D<1", "E<1", "F<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: ooooBCooooBCooAAoCoDDEEEoooFFFoooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,E<1,F<1,Cv3,A>2\n"]}} {"board": "BBBCooAAoCooooDDDEFFGGoEoooooEHHoooo", "size": 6, "moves": 7, "solution": ["D<2", "E^2", "G>2", "Cv4", "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: BBBCooAAoCooooDDDEFFGGoEoooooEHHoooo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<2,E^2,G>2,Cv4,F<1,Cv2,A>4\n"]}} {"board": "oBCCCDoBooEDoBAAEDoFFFooGGoHHHIIJJJo", "size": 6, "moves": 7, "solution": ["F>1", "Bv1", "B<1", "E^1", "H<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: oBCCCDoBooEDoBAAEDoFFFooGGoHHHIIJJJo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nF>1,Bv1,B<1,E^1,H<1,Dv3,A>2\n"]}} {"board": "oooooooBCDDDoBCoooooCoEFooAAEFGGoooF", "size": 6, "moves": 6, "solution": ["E^1", "A>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: oooooooBCDDDoBCoooooCoEFooAAEFGGoooF\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,A>1,Cv1,C<1,F^2,A>1\n"]}} {"board": "AABoooCDBEEFCDBooFGGGooFoHooIIoHoJJJ", "size": 6, "moves": 8, "solution": ["F^1", "G>3", "Bv1", "A>3", "E^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: AABoooCDBEEFCDBooFGGGooFoHooIIoHoJJJ\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,G>3,Bv1,A>3,E^1,G<1,Cv1,A>1\n"]}} {"board": "oooooBCooAABCDDEEEFFFGGoooHHooooooII", "size": 6, "moves": 5, "solution": ["C^1", "D<1", "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: oooooBCooAABCDDEEEFFFGGoooHHooooooII\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D<1,E<1,Cv2,A>1\n"]}} {"board": "BAACooBooCDDBooEEEFFFooooooooooooooo", "size": 6, "moves": 5, "solution": ["F>1", "Bv3", "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: BAACooBooCDDBooEEEFFFooooooooooooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nF>1,Bv3,D<3,Bv1,A>3\n"]}} {"board": "BAACooBooCDDBEFGGGoEFooHoEoooHIIIooH", "size": 6, "moves": 7, "solution": ["Fv1", "I>2", "Bv3", "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: BAACooBooCDDBEFGGGoEFooHoEoooHIIIooH\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nFv1,I>2,Bv3,Dv1,D<3,Bv1,A>3\n"]}} {"board": "oooooBoCCCoBoooooBDooEEEDoFoGoAAFoGo", "size": 6, "moves": 5, "solution": ["E<2", "G^3", "F>2", "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: oooooBoCCCoBoooooBDooEEEDoFoGoAAFoGo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<2,G^3,F>2,G^1,A>4\n"]}} {"board": "oooBBBoCDDDooCooEooCAAEoooooEooooooo", "size": 6, "moves": 5, "solution": ["B<2", "Cv1", "C<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: oooBBBoCDDDooCooEooCAAEoooooEooooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,Cv1,C<1,E^2,A>2\n"]}} {"board": "ooBCCCAABooDEFGGGDEFHHoDEooIooJJoIoo", "size": 6, "moves": 5, "solution": ["Dv2", "F>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: ooBCCCAABooDEFGGGDEFHHoDEooIooJJoIoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv2,F>1,G>1,Bv2,A>4\n"]}} {"board": "ooBCCCoDBEEEoDoooooDAAoFoGHHoFoGoooF", "size": 6, "moves": 6, "solution": ["A>1", "Bv2", "B<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: ooBCCCoDBEEEoDoooooDAAoFoGHHoFoGoooF\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,Bv2,B<1,D<1,F^3,A>1\n"]}} {"board": "ooooooooooBooAAoBooCCCBooDEEEooDoFFF", "size": 6, "moves": 9, "solution": ["B^1", "A>1", "C>1", "D^3", "D<1", "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: ooooooooooBooAAoBooCCCBooDEEEooDoFFF\nOptimal length (moves): 9\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,A>1,C>1,D^3,D<1,E<1,F<2,Bv3,A>2\n"]}} {"board": "ooBBBCAADooCoEDFFFoEDoGGHEoIIoHJJKKK", "size": 6, "moves": 7, "solution": ["G<1", "H^1", "J<1", "Dv2", "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: ooBBBCAADooCoEDFFFoEDoGGHEoIIoHJJKKK\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,H^1,J<1,Dv2,E<1,Cv2,A>4\n"]}} {"board": "BBBCooDDDCoEoAACoEFooooGFooooGFHHHoG", "size": 6, "moves": 5, "solution": ["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: BBBCooDDDCoEoAACoEFooooGFooooGFHHHoG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,F^1,H<1,Cv3,A>3\n"]}} {"board": "ooooooBAACoDBooCoDBEEEFFoooGGooooHHo", "size": 6, "moves": 7, "solution": ["B^1", "E<1", "F<1", "Dv3", "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: ooooooBAACoDBooCoDBEEEFFoooGGooooHHo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,E<1,F<1,Dv3,E>1,Cv1,A>3\n"]}} {"board": "oooBCoAADBCoooDBoooEEooooooooooFFooo", "size": 6, "moves": 5, "solution": ["Bv2", "Bv2", "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: oooBCoAADBCoooDBoooEEooooooooooFFooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,Bv2,E<1,Bv1,A>4\n"]}} {"board": "ooooBoCAAoBoCooDooCEFDGGoEFDooooFoHH", "size": 6, "moves": 11, "solution": ["Cv1", "A<1", "D^2", "F^3", "G<2", "H<2", "Dv4", "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: ooooBoCAAoBoCooDooCEFDGGoEFDooooFoHH\nOptimal length (moves): 11\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A<1,D^2,F^3,G<2,H<2,Dv4,F>2,Bv2,Bv2,A>4\n"]}} {"board": "ooBBBooCCCoooooooDoAAEoDoFoEoooFoEGG", "size": 6, "moves": 5, "solution": ["B<2", "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: ooBBBooCCCoooooooDoAAEoDoFoEoooFoEGG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,C<1,D^1,E^3,A>3\n"]}} {"board": "oAAoBooCDoBooCDEEoooooFoooGoFoHHGoFo", "size": 6, "moves": 7, "solution": ["A<1", "Cv2", "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: oAAoBooCDoBooCDEEoooooFoooGoFoHHGoFo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<1,Cv2,C^1,D<3,Bv1,Bv1,A>4\n"]}} {"board": "oooooBooAAoBooCCoBoooDooooEDFFooEDoo", "size": 6, "moves": 8, "solution": ["A<1", "C<2", "D^2", "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: oooooBooAAoBooCCoBoooDooooEDFFooEDoo\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<1,C<2,D^2,E^2,F<3,Bv2,Bv1,A>3\n"]}} {"board": "oAABoCoooBoCoDDoEEoFGHHIJFGooIJFGoKK", "size": 6, "moves": 7, "solution": ["K<1", "Iv1", "H>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: oAABoCoooBoCoDDoEEoFGHHIJFGooIJFGoKK\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nK<1,Iv1,H>1,Bv3,D<1,Bv1,A>3\n"]}} {"board": "oBBBoooooCCCoDDDoEoAAFoEoooFoEoooFoo", "size": 6, "moves": 6, "solution": ["B<1", "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: oBBBoooooCCCoDDDoEoAAFoEoooFoEoooFoo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,C<3,D<1,E^2,F^3,A>3\n"]}} {"board": "oooooooooBBBoooCCCDAAoEFDoooEFDooooF", "size": 6, "moves": 5, "solution": ["B<1", "C<1", "Ev1", "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: oooooooooBBBoooCCCDAAoEFDoooEFDooooF\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,C<1,Ev1,E^3,A>3\n"]}} {"board": "ooBoooooBCCCoooooDoooooDoooAAEoooooE", "size": 6, "moves": 5, "solution": ["Bv2", "B<1", "D^2", "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: ooBoooooBCCCoooooDoooooDoooAAEoooooE\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,B<1,D^2,E^2,A>1\n"]}} {"board": "oooBBBoCCCoooooDooAAoDoEoooooEoFFGGE", "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: oooBBBoCCCoooooDooAAoDoEoooooEoFFGGE\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": "oBBBoCoooooCoAAoDCoEEoDooooooooFFFGG", "size": 6, "moves": 5, "solution": ["D^2", "F<1", "G<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: oBBBoCoooooCoAAoDCoEEoDooooooooFFFGG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,F<1,G<1,Dv3,A>3\n"]}} {"board": "AABoooooBoooooBCCoooDDDEooFooEooFooE", "size": 6, "moves": 8, "solution": ["E^3", "E>1", "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: AABoooooBoooooBCCoooDDDEooFooEooFooE\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^3,E>1,Bv1,A>3,C^1,E<1,Cv1,A>1\n"]}} {"board": "oBooCooBooCDooAAEDFoGGEHFoIJJHooIooH", "size": 6, "moves": 8, "solution": ["D^1", "A<2", "Fv1", "F<2", "I^4", "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: oBooCooBooCDooAAEDFoGGEHFoIJJHooIooH\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A<2,Fv1,F<2,I^4,J<1,Fv1,A>4\n"]}} {"board": "oooooooooBBBooCDDDAACEFoGooEFHGooEFH", "size": 6, "moves": 6, "solution": ["B<3", "Cv2", "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: oooooooooBBBooCDDDAACEFoGooEFHGooEFH\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<3,Cv2,C<3,D^3,E^3,A>4\n"]}} {"board": "ooAABoCCooBDoEooBDFEGGGoFEooHHFoooII", "size": 6, "moves": 5, "solution": ["C>2", "E^2", "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: ooAABoCCooBDoEooBDFEGGGoFEooHHFoooII\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC>2,E^2,G<1,Cv1,A>2\n"]}} {"board": "AABooCooBooCDDBooCoEEEoooFFFooooooGG", "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: AABooCooBooCDDBooCoEEEoooFFFooooooGG\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": "oooooBoooooBoooCCCoooDDDoAAEoFGGGEoF", "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: oooooBoooooBoooCCCoooDDDoAAEoFGGGEoF\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": "BBBoCooDAACEFDooCEFoGGoEHIJJJoHIKKLL", "size": 6, "moves": 8, "solution": ["Cv1", "B>2", "C^1", "Ev1", "I^2", "J<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: BBBoCooDAACEFDooCEFoGGoEHIJJJoHIKKLL\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,B>2,C^1,Ev1,I^2,J<1,Dv1,A>2\n"]}} {"board": "BoAAoCBDDooCBoEooCFoEGHHFooGooFIIGoo", "size": 6, "moves": 8, "solution": ["A<1", "G^3", "I>2", "Fv2", "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: BoAAoCBDDooCBoEooCFoEGHHFooGooFIIGoo\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<1,G^3,I>2,Fv2,G<3,Cv1,Cv1,A>3\n"]}} {"board": "oooBBBooAACooooDCooEFDGGoEFooooEFooo", "size": 6, "moves": 8, "solution": ["A<2", "Dv2", "E^3", "F<2", "Dv3", "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: oooBBBooAACooooDCooEFDGGoEFooooEFooo\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<2,Dv2,E^3,F<2,Dv3,E>1,Bv2,A>4\n"]}} {"board": "oooooBCCCooBoAAooDoEEooDooFGGGooFooo", "size": 6, "moves": 6, "solution": ["A>2", "E<1", "F^2", "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: oooooBCCCooBoAAooDoEEooDooFGGGooFooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,E<1,F^2,G<1,Ev1,A>1\n"]}} {"board": "oBoCCCoBDDDEFGoooEFGAAHooooIHJoooIHJ", "size": 6, "moves": 6, "solution": ["Gv2", "Bv2", "B<2", "C<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: oBoCCCoBDDDEFGoooEFGAAHooooIHJoooIHJ\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nGv2,Bv2,B<2,C<1,G^3,A>2\n"]}} {"board": "ooBCooAABCooooBoDDEFFFGHEoIIGHooJJoH", "size": 6, "moves": 17, "solution": ["Ev1", "E<1", "Fv1", "H<1", "J<1", "Cv4", "C<1", "E^3", "E>3", "F^2", "G<1", "Bv2", "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: ooBCooAABCooooBoDDEFFFGHEoIIGHooJJoH\nOptimal length (moves): 17\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,E<1,Fv1,H<1,J<1,Cv4,C<1,E^3,E>3,F^2,G<1,Bv2,A>3,D^2,F<1,Cv2,A>1\n"]}} {"board": "ooooooBBBoooCoDDDoCoooEFoAAGEFoooGEo", "size": 6, "moves": 6, "solution": ["Cv1", "C<2", "E^2", "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: ooooooBBBoooCoDDDoCoooEFoAAGEFoooGEo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,C<2,E^2,F^1,G^2,A>3\n"]}} {"board": "ooBooCooBooCooBDDDoooooEFooAAEFoGGoo", "size": 6, "moves": 5, "solution": ["G>1", "Bv3", "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: ooBooCooBooCooBDDDoooooEFooAAEFoGGoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nG>1,Bv3,C<1,E^1,A>1\n"]}} {"board": "BCDEEEBCDoooBCoooooFAAGooFHHGooIIIGo", "size": 6, "moves": 8, "solution": ["Dv1", "G^1", "I>1", "Gv1", "Cv1", "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: BCDEEEBCDoooBCoooooFAAGooFHHGooIIIGo\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,G^1,I>1,Gv1,Cv1,C<2,F^2,A>2\n"]}} {"board": "oooBBBooooCooooDCEoAADCEFFoDGGHHoooo", "size": 6, "moves": 5, "solution": ["B<3", "C^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: oooBBBooooCooooDCEoAADCEFFoDGGHHoooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<3,C^1,D^2,E^1,A>3\n"]}} {"board": "oBCooDoBCAADEBoooDEFGGHHoFooIoJJooIo", "size": 6, "moves": 6, "solution": ["J>2", "Fv1", "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: oBCooDoBCAADEBoooDEFGGHHoFooIoJJooIo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nJ>2,Fv1,F<1,G<1,Dv2,A>1\n"]}} {"board": "AAooBoooooBooCooBooCDoEEooDoooooDFFF", "size": 6, "moves": 6, "solution": ["C^1", "D^3", "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: AAooBoooooBooCooBooCDoEEooDoooooDFFF\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^3,E<4,Bv1,Bv1,A>4\n"]}} {"board": "oBoooCoBAAoCoooDDCEFFFooEooGHHEooGoo", "size": 6, "moves": 7, "solution": ["D<2", "E^3", "F<1", "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: oBoooCoBAAoCoooDDCEFFFooEooGHHEooGoo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<2,E^3,F<1,G^2,H<1,Dv2,A>2\n"]}} {"board": "AAooBoCoooBoCDoEEECDoFFFoGGHoooooHoo", "size": 6, "moves": 5, "solution": ["A>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: AAooBoCoooBoCDoEEECDoFFFoGGHoooooHoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,D^2,E<2,Cv1,A>2\n"]}} {"board": "oooBBBooCCCooAAooDoooEoDoooEoDoooEFF", "size": 6, "moves": 5, "solution": ["E^1", "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: oooBBBooCCCooAAooDoooEoDoooEoDoooEFF\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,F<3,Dv1,Dv1,A>3\n"]}} {"board": "AABooCooBDDCooEEFFGHHHIIGJoKKKGJoooo", "size": 6, "moves": 5, "solution": ["E<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: AABooCooBDDCooEEFFGHHHIIGJoKKKGJoooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<2,Bv1,F<1,Bv1,A>4\n"]}} {"board": "BBBoCooooDCooAADCEoooooEoooFFFoGGHHo", "size": 6, "moves": 7, "solution": ["D^1", "E^2", "F<2", "G<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: BBBoCooooDCooAADCEoooooEoooFFFoGGHHo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E^2,F<2,G<1,H<1,Dv3,A>3\n"]}} {"board": "BoCCCoBDoAAEBDoooEoDoFoGHHHFoGooIIJJ", "size": 6, "moves": 5, "solution": ["I<1", "J<1", "Gv1", "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: BoCCCoBDoAAEBDoooEoDoFoGHHHFoGooIIJJ\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nI<1,J<1,Gv1,Ev1,A>1\n"]}} {"board": "ooBooCooBDoCEAADoCEFFDooGHooIIGHoJJJ", "size": 6, "moves": 16, "solution": ["D^1", "E^1", "F>3", "G^1", "H^1", "J<3", "Cv3", "A>1", "F^3", "A<1", "G^3", "H<3", "I<3", "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: ooBooCooBDoCEAADoCEFFDooGHooIIGHoJJJ\nOptimal length (moves): 16\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E^1,F>3,G^1,H^1,J<3,Cv3,A>1,F^3,A<1,G^3,H<3,I<3,Dv3,Dv3,A>3\n"]}} {"board": "oooooooooBBBooooooooCCCoAADEooFFDEGG", "size": 6, "moves": 5, "solution": ["C>1", "D^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: oooooooooBBBooooooooCCCoAADEooFFDEGG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC>1,D^3,D<3,E^2,A>4\n"]}} {"board": "oBCCCDEBAAoDEBFoGGooFHHHIIFoJJKKoooo", "size": 6, "moves": 8, "solution": ["A>1", "G<1", "Dv1", "C>1", "F^2", "H<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: oBCCCDEBAAoDEBFoGGooFHHHIIFoJJKKoooo\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,G<1,Dv1,C>1,F^2,H<1,Fv1,A>1\n"]}} {"board": "ooBCCCooBDDDooBEEEoAAooFoooGGFooHHoF", "size": 6, "moves": 8, "solution": ["A>2", "H<2", "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: ooBCCCooBDDDooBEEEoAAooFoooGGFooHHoF\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,H<2,Bv3,B<1,C<1,D<1,F^3,A>1\n"]}} {"board": "ooBoooooBCCCAABDoEoooDoEooFFoooooooo", "size": 6, "moves": 5, "solution": ["Ev1", "F<2", "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: ooBoooooBCCCAABDoEoooDoEooFFoooooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,F<2,Bv3,Cv1,A>4\n"]}} {"board": "ooBCCCooBoooooBDooEAADoFEoGooFEoGooF", "size": 6, "moves": 6, "solution": ["D^1", "A>2", "Bv1", "B<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: ooBCCCooBoooooBDooEAADoFEoGooFEoGooF\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>2,Bv1,B<1,F^3,A>1\n"]}} {"board": "AAoooBooCooBooCDDDEFFGooEooGoHEooGoH", "size": 6, "moves": 5, "solution": ["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: AAoooBooCooBooCDDDEFFGooEooGoHEooGoH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>3,C^1,D<1,Cv1,A>1\n"]}} {"board": "oooBCooAABCoooDDEEoooFFFGHIIooGHoJJJ", "size": 6, "moves": 7, "solution": ["D<2", "E<2", "F<3", "Cv3", "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: oooBCooAABCoooDDEEoooFFFGHIIooGHoJJJ\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<2,E<2,F<3,Cv3,D>2,Bv2,A>3\n"]}} {"board": "oooBBBoCoDDDoCEEEFoCoooFoAAooGooHHoG", "size": 6, "moves": 5, "solution": ["B<1", "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: oooBBBoCoDDDoCEEEFoCoooFoAAooGooHHoG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,D<1,F^2,G^2,A>3\n"]}} {"board": "ooBBBoCooDDDCooEEECFAAGooFooGooFooGo", "size": 6, "moves": 5, "solution": ["B<1", "D<2", "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: ooBBBoCooDDDCooEEECFAAGooFooGooFooGo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,D<2,E<2,G^3,A>2\n"]}} {"board": "oooooooooooBCoAAoBCDDooBCooEFFoooEoo", "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: oooooooooooBCoAAoBCDDooBCooEFFoooEoo\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": "BBBooCoDDDoCooAAoCoEEFFFooooGGoHHIII", "size": 6, "moves": 7, "solution": ["E<1", "F<1", "G<1", "H<1", "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: BBBooCoDDDoCooAAoCoEEFFFooooGGoHHIII\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,F<1,G<1,H<1,I<1,Cv3,A>2\n"]}} {"board": "oooooBooAAoBoooCCCoDDDEEoFFFoooGGGHH", "size": 6, "moves": 5, "solution": ["C<1", "D<1", "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: oooooBooAAoBoooCCCoDDDEEoFFFoooGGGHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,D<1,E<1,Bv2,A>2\n"]}} {"board": "oAABCDoooBCDoEFoCDGEFHHHGoIIJJGKKooo", "size": 6, "moves": 7, "solution": ["Bv1", "E^1", "F^1", "H<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: oAABCDoooBCDoEFoCDGEFHHHGoIIJJGKKooo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,E^1,F^1,H<2,Bv1,Bv1,A>3\n"]}} {"board": "AABooCooBooCooDDEFGGooEFoHHHEFooooII", "size": 6, "moves": 6, "solution": ["D<2", "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: AABooCooBooCooDDEFGGooEFoHHHEFooooII\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<2,Bv1,I<1,Fv1,Bv1,A>4\n"]}} {"board": "ooAABoCCCoBoDooEBoDooEFFDooEoooooooo", "size": 6, "moves": 6, "solution": ["A<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: ooAABoCCCoBoDooEBoDooEFFDooEoooooooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<1,E^2,F<3,Bv1,Bv1,A>3\n"]}} {"board": "oBCooooBCDDDoBooooooAAEoFoooEGFoooEG", "size": 6, "moves": 7, "solution": ["A<2", "Cv4", "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: oBCooooBCDDDoBooooooAAEoFoooEGFoooEG\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<2,Cv4,A>2,Bv2,B<2,D^3,A>2\n"]}} {"board": "oBCDDDoBCEooFBCEGoFoooGHooAAIHJJJoIH", "size": 6, "moves": 7, "solution": ["Bv1", "Bv1", "B<2", "G^2", "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: oBCDDDoBCEooFBCEGoFoooGHooAAIHJJJoIH\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,B<2,G^2,H^2,I^2,A>2\n"]}} {"board": "oBooCooBooCooBoDDDooEFoGooEFoGAAEooG", "size": 6, "moves": 6, "solution": ["E^1", "A>3", "Dv1", "D<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: oBooCooBooCooBoDDDooEFoGooEFoGAAEooG\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,A>3,Dv1,D<1,G^1,A>1\n"]}} {"board": "oBoooCoBoooCoAAooCDEEEooDFooooDFGGHH", "size": 6, "moves": 6, "solution": ["E>1", "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: oBoooCoBoooCoAAooCDEEEooDFooooDFGGHH\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nE>1,F^1,G<1,H<1,Cv3,A>3\n"]}} {"board": "ooooBCooAABCDEEEoCDFooGGDFooHHoFoIIo", "size": 6, "moves": 5, "solution": ["G<2", "Bv2", "H<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: ooooBCooAABCDEEEoCDFooGGDFooHHoFoIIo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<2,Bv2,H<1,Bv2,A>2\n"]}} {"board": "oooBoCoooBoCAAoooCoDooooEDooooEDFFGG", "size": 6, "moves": 6, "solution": ["A>2", "D^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: oooBoCoooBoCAAoooCoDooooEDooooEDFFGG\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,D^1,F<1,G<1,Cv3,A>2\n"]}} {"board": "oBoCoooBDCoooBDoooooDEEEFooGoHFAAGoH", "size": 6, "moves": 5, "solution": ["D^1", "E<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: oBoCoooBDCoooBDoooooDEEEFooGoHFAAGoH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E<3,G^1,H^1,A>3\n"]}} {"board": "ooBCCCooBoooooBDoEAAoDoEooFFoEoooooo", "size": 6, "moves": 6, "solution": ["D^1", "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: ooBCCCooBoooooBDoEAAoDoEooFFoEoooooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>3,Bv1,B<1,E^2,A>1\n"]}} {"board": "ooooBoAAooBoooCCBoDoooooDooEFFDooEoo", "size": 6, "moves": 5, "solution": ["C<1", "E^2", "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: ooooBoAAooBoooCCBoDoooooDooEFFDooEoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,E^2,F<2,Bv2,A>4\n"]}} {"board": "BoAACoBoooCoBooDCoEFoDGGEFoDHHEIIJJo", "size": 6, "moves": 7, "solution": ["A<1", "D^2", "F^2", "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: BoAACoBoooCoBooDCoEFoDGGEFoDHHEIIJJo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<1,D^2,F^2,G<3,Cv1,Cv1,A>3\n"]}} {"board": "oAAooBooCDDBooCEEEooFFoGHHIooGooIooG", "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: oAAooBooCDDBooCEEEooFFoGHHIooGooIooG\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": "ooBooCAABoDCooEEDoFGGHoIFooHoIFJJHKK", "size": 6, "moves": 15, "solution": ["E<2", "H^3", "H>2", "Bv3", "E>1", "F^1", "J<1", "Gv1", "G<2", "Bv2", "Cv1", "K<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: ooBooCAABoDCooEEDoFGGHoIFooHoIFJJHKK\nOptimal length (moves): 15\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<2,H^3,H>2,Bv3,E>1,F^1,J<1,Gv1,G<2,Bv2,Cv1,K<1,Hv1,Bv2,A>4\n"]}} {"board": "oooooooBBBoooCCCoDooEoFDooEoFDAAEooo", "size": 6, "moves": 8, "solution": ["Dv1", "C>2", "D^1", "A>3", "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: oooooooBBBoooCCCoDooEoFDooEoFDAAEooo\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,C>2,D^1,A>3,Cv1,C<1,F^1,A>1\n"]}} {"board": "ooooBCoAAoBCooDDBooooooEFoGGGEFooooo", "size": 6, "moves": 5, "solution": ["Ev1", "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: ooooBCoAAoBCooDDBooooooEFoGGGEFooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,Cv2,F<1,Bv2,A>3\n"]}} {"board": "oAABoCoDoBoCoDoEEEoDoFoooooFGGoooFoo", "size": 6, "moves": 5, "solution": ["Dv2", "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: oAABoCoDoBoCoDoEEEoDoFoooooFGGoooFoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv2,D<3,Bv1,Bv1,A>3\n"]}} {"board": "BooCCCBooDDDoEEEoooAAoFGoHHoFGooooFG", "size": 6, "moves": 5, "solution": ["C<2", "D<2", "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: BooCCCBooDDDoEEEoooAAoFGoHHoFGooooFG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,D<2,F^3,G^3,A>3\n"]}} {"board": "oooBBBooCDDDAACEoooFoEooGFoHHHGooIII", "size": 6, "moves": 5, "solution": ["B<3", "Cv2", "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: oooBBBooCDDDAACEoooFoEooGFoHHHGooIII\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<3,Cv2,C<3,D^2,A>4\n"]}} {"board": "BBBoCoDoAACoDooEEEDFoGGGoFoHHooooIII", "size": 6, "moves": 5, "solution": ["E<2", "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: BBBoCoDoAACoDooEEEDFoGGGoFoHHooooIII\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<2,Fv1,F<2,Cv2,A>2\n"]}} {"board": "ooooBoooooBCAAooBCoDoEEEoDoooooDFFGG", "size": 6, "moves": 8, "solution": ["C^1", "A>2", "D^3", "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: ooooBoooooBCAAooBCoDoEEEoDoooooDFFGG\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>2,D^3,E<2,F<2,G<2,Cv3,A>2\n"]}} {"board": "oooooBoAAooBoooooBoCDEEEFCDGooFCDGHH", "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: oooooBoAAooBoooooBoCDEEEFCDGooFCDGHH\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": "AAooBoooCoBooDCEEEFDCGGGFDooHHFooIIo", "size": 6, "moves": 5, "solution": ["Cv2", "Cv1", "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: AAooBoooCoBooDCEEEFDCGGGFDooHHFooIIo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,Cv1,C<2,Bv1,A>4\n"]}} {"board": "oooBBBoAAoCDEEoFCDGGHFCoooHIIoooHJJJ", "size": 6, "moves": 7, "solution": ["A<1", "Dv1", "H^2", "I<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: oooBBBoAAoCDEEoFCDGGHFCoooHIIoooHJJJ\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<1,Dv1,H^2,I<3,Cv1,Cv1,A>4\n"]}} {"board": "AAoBoCDEoBoCDEoFoCDEoFoooooFGGoooHHH", "size": 6, "moves": 5, "solution": ["Cv1", "H<3", "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: AAoBoCDEoBoCDEoFoCDEoFoooooFGGoooHHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,H<3,Fv1,Bv1,A>4\n"]}} {"board": "oooAABooCCoBooDEoBooDEFFooDGGGooHHHo", "size": 6, "moves": 5, "solution": ["C<1", "E^1", "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: oooAABooCCoBooDEoBooDEFFooDGGGooHHHo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,E^1,F<1,Bv1,A>1\n"]}} {"board": "ooBBBoCoooooCoDDDoEooFoGEooFoGEAAFoG", "size": 6, "moves": 5, "solution": ["C^1", "D<2", "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: ooBBBoCoooooCoDDDoEooFoGEooFoGEAAFoG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D<2,F^1,G^1,A>3\n"]}} {"board": "oBoooCoBDAACEBDFFFEGGHHHEoooIJKKooIJ", "size": 6, "moves": 7, "solution": ["D^1", "E^2", "F<1", "G<1", "H<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: oBoooCoBDAACEBDFFFEGGHHHEoooIJKKooIJ\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E^2,F<1,G<1,H<1,Ev2,A>1\n"]}} {"board": "oBBBoCoDAAoCoDoEECFDGoHHFoGIIIooGJJJ", "size": 6, "moves": 6, "solution": ["A>1", "G^2", "H<1", "I<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: oBBBoCoDAAoCoDoEECFDGoHHFoGIIIooGJJJ\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,G^2,H<1,I<1,Cv2,A>1\n"]}} {"board": "ooBBBoAAooCoooooCooDEECFoDGGGFoDoHHH", "size": 6, "moves": 5, "solution": ["A>2", "D^2", "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: ooBBBoAAooCoooooCooDEECFoDGGGFoDoHHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,D^2,G<1,Dv1,A>2\n"]}} {"board": "ooooBooAACBooooCDDooooEEFGGGooFHHooo", "size": 6, "moves": 6, "solution": ["C^1", "D<3", "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: ooooBooAACBooooCDDooooEEFGGGooFHHooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D<3,E<3,Bv2,Bv2,A>3\n"]}} {"board": "ooooBCooooBCooAABCoooDDDoooEEEoooooo", "size": 6, "moves": 5, "solution": ["D<2", "E<2", "Bv3", "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: ooooBCooooBCooAABCoooDDDoooEEEoooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<2,E<2,Bv3,Bv3,A>2\n"]}} {"board": "BooCCCBAAoDEBoooDEFFGoDEHIGJJJHIooKK", "size": 6, "moves": 10, "solution": ["A>1", "Gv1", "F>2", "H^3", "G<2", "I^2", "J<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: BooCCCBAAoDEBoooDEFFGoDEHIGJJJHIooKK\nOptimal length (moves): 10\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,Gv1,F>2,H^3,G<2,I^2,J<2,Ev1,Ev1,A>2\n"]}} {"board": "oooooBoAAoCBooDDCooEEoCooFFoGGoooHHH", "size": 6, "moves": 5, "solution": ["Bv2", "F<1", "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: oooooBoAAoCBooDDCooEEoCooFFoGGoooHHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,F<1,G<2,Bv1,A>3\n"]}} {"board": "oBoooooBoCooAAoCoDoooCoDoooEEooooFFF", "size": 6, "moves": 5, "solution": ["D^2", "E<2", "F<3", "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: oBoooooBoCooAAoCoDoooCoDoooEEooooFFF\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,E<2,F<3,Dv2,A>4\n"]}} {"board": "BAAoCoBDooCoBDEEEooFFoooGoHIIoGoHoJJ", "size": 6, "moves": 5, "solution": ["A>1", "D^1", "E<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: BAAoCoBDooCoBDEEEooFFoooGoHIIoGoHoJJ\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,D^1,E<1,Dv1,A>2\n"]}} {"board": "AAooBoooooBoooooBoCDoEEECDoFFFCDoooo", "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: AAooBoooooBoooooBoCDoEEECDoFFFCDoooo\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": "ooooBooAAoBoooCDDDooCoEEooooooooooFF", "size": 6, "moves": 5, "solution": ["Cv2", "C<2", "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: ooooBooAAoBoooCDDDooCoEEooooooooooFF\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,C<2,D<2,Bv2,A>3\n"]}} {"board": "BooCooBoDCooBEDooooEDFFFoAAoGoHHooGo", "size": 6, "moves": 5, "solution": ["D^1", "E^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: BooCooBoDCooBEDooooEDFFFoAAoGoHHooGo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E^1,F<2,G^2,A>3\n"]}} {"board": "AAoooBoooooBooooCBoDEoCFoDEGGFoDEHHH", "size": 6, "moves": 5, "solution": ["E^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: AAoooBoooooBooooCBoDEoCFoDEGGFoDEHHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,H<1,Fv1,Bv1,A>4\n"]}} {"board": "ooooooooooooAAoBooCoDBooCoDBooCoEEEo", "size": 6, "moves": 5, "solution": ["A>1", "C^1", "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: ooooooooooooAAoBooCoDBooCoDBooCoEEEo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,C^1,E<2,Cv1,A>3\n"]}} {"board": "oBBBCoAAooCDooooCDoEFFoDoEoGGGoEoooo", "size": 6, "moves": 6, "solution": ["A>2", "E^2", "G<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: oBBBCoAAooCDooooCDoEFFoDoEoGGGoEoooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,E^2,G<2,Cv2,Dv1,A>2\n"]}} {"board": "ooAABoCCDoBoooDEEoFFFGooHHHGIIoooGJJ", "size": 6, "moves": 6, "solution": ["A<2", "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: ooAABoCCDoBoooDEEoFFFGooHHHGIIoooGJJ\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<2,D^1,E<3,Bv1,Bv1,A>4\n"]}} {"board": "oooooBoooCoBoAACoBooDCooEoDFFFEooooo", "size": 6, "moves": 7, "solution": ["E^4", "A<1", "E^3", "F<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: oooooBoooCoBoAACoBooDCooEoDFFFEooooo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^4,A<1,E^3,F<3,Dv3,Dv2,A>4\n"]}} {"board": "AAooBooCCCBDEoFFGDEHHIGoEoJIGoooJKKK", "size": 6, "moves": 8, "solution": ["A>1", "E^2", "H<1", "J^1", "K<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: AAooBooCCCBDEoFFGDEHHIGoEoJIGoooJKKK\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,E^2,H<1,J^1,K<2,Gv1,Cv1,A>3\n"]}} {"board": "oBoooooBooooooCCCoDDDEFGoooEFGoAAEFG", "size": 6, "moves": 5, "solution": ["C<2", "E^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: oBoooooBooooooCCCoDDDEFGoooEFGoAAEFG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,E^1,F^1,G^1,A>3\n"]}} {"board": "oBBBooAAoooCooDDDCEooooCEFGHIIEFGHoo", "size": 6, "moves": 5, "solution": ["D<2", "H^2", "I<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: oBBBooAAoooCooDDDCEooooCEFGHIIEFGHoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<2,H^2,I<1,Cv1,A>4\n"]}} {"board": "oooAABCoDDDBCEEEFFGHHoIIGoJJJooKKoLL", "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: oooAABCoDDDBCEEEFFGHHoIIGoJJJooKKoLL\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": "oooBoCooDBoCAADEoFGHHEIFGooEIooJJJIo", "size": 6, "moves": 5, "solution": ["D^1", "Fv1", "J<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: oooBoCooDBoCAADEoFGHHEIFGooEIooJJJIo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,Fv1,J<1,Ev1,A>4\n"]}} {"board": "oooAABCCDooBooDEEEooDoooFGHHooFGoIII", "size": 6, "moves": 5, "solution": ["H>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: oooAABCCDooBooDEEEooDoooFGHHooFGoIII\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nH>1,Dv2,D<1,Bv1,A>1\n"]}} {"board": "ooooBoCoooBoCoAABoCDDoEEoooFFFooooGG", "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: ooooBoCoooBoCoAABoCDDoEEoooFFFooooGG\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": "oBBBooooooooooCoooDECFFFDECooGDEAAoG", "size": 6, "moves": 5, "solution": ["B>2", "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: oBBBooooooooooCoooDECFFFDECooGDEAAoG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB>2,C^2,F<1,G^1,A>2\n"]}} {"board": "oAAooBCCoooBDDEFFFoGEHHHIGJKKKIoJooo", "size": 6, "moves": 5, "solution": ["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: oAAooBCCoooBDDEFFFoGEHHHIGJKKKIoJooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,E^2,F<1,Cv1,A>1\n"]}} {"board": "BoAAoCBooDDCBoEFFFGHEIIIGHJKKKGHJLLo", "size": 6, "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 (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoAAoCBooDDCBoEFFFGHEIIIGHJKKKGHJLLo\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": "oBBBooCoooooCDDDooCooooEoAAFoEoooFoE", "size": 6, "moves": 5, "solution": ["Cv2", "C<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: oBBBooCoooooCDDDooCooooEoAAFoEoooFoE\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,C<1,E^2,F^2,A>3\n"]}} {"board": "BoAACDBEEECDBFFoCDoooGGHoooIoHJJJIoo", "size": 6, "moves": 5, "solution": ["G<1", "Cv1", "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: BoAACDBEEECDBFFoCDoooGGHoooIoHJJJIoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,Cv1,Hv1,Cv1,A>2\n"]}} {"board": "ooooooAAooBoooooBooCDoEEoCDoFFooDooo", "size": 6, "moves": 6, "solution": ["Cv1", "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: ooooooAAooBoooooBooCDoEEoCDoFFooDooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,C^3,D<4,Bv2,Bv1,A>4\n"]}} {"board": "AAoBCoDDoBCooEoBCoFEGoHIFJGoHIFJGKKI", "size": 6, "moves": 6, "solution": ["Bv1", "G^1", "K<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: AAoBCoDDoBCooEoBCoFEGoHIFJGoHIFJGKKI\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,G^1,K<1,Hv1,Bv1,A>4\n"]}} {"board": "oooBBBAAooCoooooCooooDEEoooDooooFFoo", "size": 6, "moves": 5, "solution": ["D^2", "E<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: oooBBBAAooCoooooCooooDEEoooDooooFFoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,E<3,Cv1,Cv1,A>4\n"]}} {"board": "AAoBoooooBooCDoBooCDEEEFCoooGFooHHGF", "size": 6, "moves": 6, "solution": ["A>1", "C^2", "D^1", "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: AAoBoooooBooCDoBooCDEEEFCoooGFooHHGF\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,C^2,D^1,E<2,Cv1,A>3\n"]}} {"board": "ooBBBoAACoooDoCoEEDoCooFGHHHoFGooooF", "size": 6, "moves": 9, "solution": ["E<1", "F^2", "H>2", "Cv1", "A>3", "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: ooBBBoAACoooDoCoEEDoCooFGHHHoFGooooF\nOptimal length (moves): 9\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,F^2,H>2,Cv1,A>3,E^1,H<1,Dv1,A>1\n"]}} {"board": "oBCCCooBooooDoooooDoAAEFDoooEFGGooEF", "size": 6, "moves": 5, "solution": ["Bv1", "B<1", "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: oBCCCooBooooDoooooDoAAEFDoooEFGGooEF\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,B<1,E^3,F^3,A>2\n"]}} {"board": "oAABCooooBCooDDDCooEEoFFGHIoJJGHIKKK", "size": 6, "moves": 6, "solution": ["D<1", "Bv1", "E<1", "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: oAABCooooBCooDDDCooEEoFFGHIoJJGHIKKK\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv1,E<1,F<2,Bv1,A>3\n"]}} {"board": "AABoooooBCDoEEECDoFooooGFHoooGoHoIIo", "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: AABoooooBCDoEEECDoFooooGFHoooGoHoIIo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,Cv2,C>3,Bv1,A>4\n"]}} {"board": "ooBoooooBoooooBCCCoooooDoAAoEDooooED", "size": 6, "moves": 11, "solution": ["A<1", "Bv3", "B<2", "E^4", "C>2", "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: ooBoooooBoooooBCCCoooooDoAAoEDooooED\nOptimal length (moves): 11\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<1,Bv3,B<2,E^4,C>2,D^2,A>3,Cv2,C<1,E^2,A>1\n"]}} {"board": "AAoBoCoooBoCDDoBoCEooFFFEGGGooHHHIII", "size": 6, "moves": 6, "solution": ["D>1", "E^2", "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: AAoBoCoooBoCDDoBoCEooFFFEGGGooHHHIII\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nD>1,E^2,F<3,Bv1,Bv1,A>4\n"]}} {"board": "oBCCCooBDDDoAAEFooooEFoooGoFoooGHHHo", "size": 6, "moves": 5, "solution": ["Ev1", "G^1", "H<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: oBCCCooBDDDoAAEFooooEFoooGoFoooGHHHo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,G^1,H<2,Ev1,A>4\n"]}} {"board": "BAAoCoBoDDCoEoFoGGEoFoHooIIJHooooJoo", "size": 6, "moves": 5, "solution": ["I<1", "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: BAAoCoBoDDCoEoFoGGEoFoHooIIJHooooJoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nI<1,Fv1,F<2,Cv1,A>3\n"]}} {"board": "oooBBBCCCoooooDEEEFGDoooFGAAoHFGoooH", "size": 6, "moves": 5, "solution": ["C>3", "D^2", "E<1", "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: oooBBBCCCoooooDEEEFGDoooFGAAoHFGoooH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC>3,D^2,E<1,H^2,A>2\n"]}} {"board": "oBooooCBDEEECBDFoGHIDFoGHIoAAJHIoooJ", "size": 6, "moves": 5, "solution": ["Dv1", "D<1", "G^2", "J^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: oBooooCBDEEECBDFoGHIDFoGHIoAAJHIoooJ\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,D<1,G^2,J^2,A>1\n"]}} {"board": "BoooCoBoooCoBAAoCooDooEEoDFGGoooFoHH", "size": 6, "moves": 8, "solution": ["Bv3", "A<1", "F^4", "F<2", "G<1", "H<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: BoooCoBoooCoBAAoCooDooEEoDFGGoooFoHH\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv3,A<1,F^4,F<2,G<1,H<2,Cv3,A>4\n"]}} {"board": "ooBBBCoooDoCoooDECoAAoEFoGoHoFoGoHII", "size": 6, "moves": 9, "solution": ["E^1", "A>1", "G^3", "A<1", "H^1", "I<3", "Gv1", "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: ooBBBCoooDoCoooDECoAAoEFoGoHoFoGoHII\nOptimal length (moves): 9\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,A>1,G^3,A<1,H^1,I<3,Gv1,Gv1,A>3\n"]}} {"board": "oooBoooooBoooAABooCCooooDooEEEDooFFF", "size": 6, "moves": 6, "solution": ["C>1", "D^2", "E<3", "F<3", "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: oooBoooooBoooAABooCCooooDooEEEDooFFF\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nC>1,D^2,E<3,F<3,Bv3,A>3\n"]}} {"board": "oooooooooAABoooooBCCCooBooDEEEooDooo", "size": 6, "moves": 7, "solution": ["B^1", "C>3", "D^3", "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: oooooooooAABoooooBCCCooBooDEEEooDooo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,C>3,D^3,D<1,E<1,Bv2,A>1\n"]}} {"board": "oBBBoCooDAACooDooCEEDFoooooFGGoooFoo", "size": 6, "moves": 9, "solution": ["Dv1", "A<3", "D^1", "F^2", "G<4", "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: oBBBoCooDAACooDooCEEDFoooooFGGoooFoo\nOptimal length (moves): 9\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,A<3,D^1,F^2,G<4,Cv2,Cv1,Cv1,A>4\n"]}} {"board": "ooBoooAABoooooBoCCoooooDoEEEoDFFGGGD", "size": 6, "moves": 9, "solution": ["C<1", "D^2", "E>2", "Bv2", "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: ooBoooAABoooooBoCCoooooDoEEEoDFFGGGD\nOptimal length (moves): 9\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,D^2,E>2,Bv2,A>3,C^1,E<1,Cv1,A>1\n"]}} {"board": "oooBBBoooooooooCCCDAAoEFDGGHEFDIIHEF", "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: oooBBBoooooooooCCCDAAoEFDGGHEFDIIHEF\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": "ooooooooooooooBCCCooBoooAABDoooooDoo", "size": 6, "moves": 6, "solution": ["Bv1", "B<3", "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: ooooooooooooooBCCCooBoooAABDoooooDoo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,B<3,D^4,C>3,D^2,A>4\n"]}} {"board": "oooooBoooooBooAAoBoooooooooCDDoooCoo", "size": 6, "moves": 5, "solution": ["A<1", "C^4", "D<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: oooooBoooooBooAAoBoooooooooCDDoooCoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<1,C^4,D<1,Cv3,A>3\n"]}} {"board": "oooooBoooooBooAAoBCCDoooEoDoooEoDFFF", "size": 6, "moves": 5, "solution": ["A>1", "D^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: oooooBoooooBooAAoBCCDoooEoDoooEoDFFF\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,D^1,F<1,Bv3,A>1\n"]}} {"board": "ooBoCoooBoCoooBoooooDDDEAAoFGEHHoFGo", "size": 6, "moves": 5, "solution": ["D<2", "E^1", "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: ooBoCoooBoCoooBoooooDDDEAAoFGEHHoFGo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<2,E^1,F^2,G^2,A>4\n"]}} {"board": "oooooooooooooBCoooDBCEEEDBCoFoooAAFo", "size": 6, "moves": 5, "solution": ["B^2", "C^2", "E<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: oooooooooooooBCoooDBCEEEDBCoFoooAAFo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^2,C^2,E<2,F^1,A>2\n"]}} {"board": "BBBoooAAoCDoEooCDoEooCDoEoFFFooooooo", "size": 6, "moves": 6, "solution": ["A>1", "E^1", "F<2", "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: BBBoooAAoCDoEooCDoEooCDoEoFFFooooooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,E^1,F<2,Dv1,Dv1,A>3\n"]}} {"board": "oooooooooooooAAooBooCooBoDCooBoDCEEE", "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: oooooooooooooAAooBooCooBoDCooBoDCEEE\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": "oBCooDoBCEoDAAFEoGHoFooGHIIooGHooJJJ", "size": 6, "moves": 6, "solution": ["E^1", "I>2", "Fv1", "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: oBCooDoBCEoDAAFEoGHoFooGHIIooGHooJJJ\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,I>2,Fv1,J<1,Fv1,A>4\n"]}} {"board": "BoooooBooCCCBoooDooooEDoAAoEoooFFEoo", "size": 6, "moves": 5, "solution": ["A>1", "Bv2", "B<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: BoooooBooCCCBoooDooooEDoAAoEoooFFEoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,Bv2,B<3,E^2,A>3\n"]}} {"board": "ooAAoBooCooBooCooBooCDDDEEEFoooooFGG", "size": 6, "moves": 5, "solution": ["A>1", "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: ooAAoBooCooBooCooBooCDDDEEEFoooooFGG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,C^1,D<1,Cv1,A>1\n"]}} {"board": "oooooooooBBBooCCCooAADEooFoDEooFooEo", "size": 6, "moves": 5, "solution": ["B<2", "C<1", "Dv1", "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: oooooooooBBBooCCCooAADEooFoDEooFooEo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,C<1,Dv1,D^3,A>3\n"]}} {"board": "ooBoooooBCCCooBDDDoooooEoooooEoAAooE", "size": 6, "moves": 5, "solution": ["A>2", "Bv3", "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: ooBoooooBCCCooBDDDoooooEoooooEoAAooE\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,Bv3,C<1,E^1,A>1\n"]}} {"board": "ooBBBCoDoooCoDoEEEFoAAoGFHIooGFHIJJJ", "size": 6, "moves": 5, "solution": ["A>1", "I^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: ooBBBCoDoooCoDoEEEFoAAoGFHIooGFHIJJJ\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,I^1,J<1,Hv1,A>1\n"]}} {"board": "oooBBBAAooCDooEECDFGGHCDFooHIIFoooJJ", "size": 6, "moves": 6, "solution": ["E<1", "H^1", "I<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: oooBBBAAooCDooEECDFGGHCDFooHIIFoooJJ\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,H^1,I<2,Cv1,Cv1,A>4\n"]}} {"board": "oooooooBoCCCDBoEEEDoAAFGDoHoFGooHoFG", "size": 6, "moves": 6, "solution": ["Bv2", "B<2", "D<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: oooooooBoCCCDBoEEEDoAAFGDoHoFGooHoFG\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,B<2,D<2,F^3,G^3,A>2\n"]}} {"board": "oBoCDooBoCDEFoAADEFoGHoIJoGHoIJoGHKK", "size": 6, "moves": 11, "solution": ["E^1", "F^2", "A<2", "G^1", "H^1", "J^1", "K<4", "Ev3", "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: oBoCDooBoCDEFoAADEFoGHoIJoGHoIJoGHKK\nOptimal length (moves): 11\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,F^2,A<2,G^1,H^1,J^1,K<4,Ev3,Fv1,Fv1,A>4\n"]}} {"board": "ooBBBooCoooooCoooooCoDDDEoAAFGEHHoFG", "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: ooBBBooCoooooCoooooCoDDDEoAAFGEHHoFG\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": "BooooCBAAooCBDDEECoFFFGGoHHIIIJJKKoo", "size": 6, "moves": 6, "solution": ["F<1", "G<1", "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: BooooCBAAooCBDDEECoFFFGGoHHIIIJJKKoo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,G<1,H<1,I<1,Cv2,A>3\n"]}} {"board": "ooooooBooCCCBoooooBAADEooooDEoFFoDEo", "size": 6, "moves": 5, "solution": ["Bv1", "B<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: ooooooBooCCCBoooooBAADEooooDEoFFoDEo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,B<3,D^3,E^3,A>3\n"]}} {"board": "AAooBoooooBoooooBooCoDDDoCoEEEoCoooo", "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: AAooBoooooBoooooBooCoDDDoCoEEEoCoooo\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": "oAAoBoooooBCoDDoBCoEFFFCGEoHHHGEoIIo", "size": 6, "moves": 6, "solution": ["A>1", "D>1", "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: oAAoBoooooBCoDDoBCoEFFFCGEoHHHGEoIIo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,D>1,E^3,F<1,Cv1,A>2\n"]}} {"board": "ooAABCoooDBCEFoDGGEFoDooEFHIIJKKHooJ", "size": 6, "moves": 10, "solution": ["E^1", "F^1", "H^2", "I<3", "Fv2", "Fv1", "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: ooAABCoooDBCEFoDGGEFoDooEFHIIJKKHooJ\nOptimal length (moves): 10\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,F^1,H^2,I<3,Fv2,Fv1,F<2,Bv1,Bv1,A>2\n"]}} {"board": "oBBBooooCCCoooDDDoAAoEoooooEoooooEoo", "size": 6, "moves": 5, "solution": ["B<1", "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: oBBBooooCCCoooDDDoAAoEoooooEoooooEoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,C<2,D<2,E^3,A>4\n"]}} {"board": "BAACoDBEoCoDoEoCFDGooHFoGooHIIGooJJJ", "size": 6, "moves": 6, "solution": ["Dv1", "G^1", "J<3", "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: BAACoDBEoCoDoEoCFDGooHFoGooHIIGooJJJ\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,G^1,J<3,Hv1,Cv1,A>3\n"]}} {"board": "BCoDooBCoDooBCoDEFoAAGEFHooGoFHIIIoo", "size": 6, "moves": 6, "solution": ["E^1", "F^2", "H^1", "I<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: BCoDooBCoDooBCoDEFoAAGEFHooGoFHIIIoo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,F^2,H^1,I<1,Hv1,A>3\n"]}} {"board": "oooooBoAAooBoooooBCoDEEECoDoooCoDoFF", "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: oooooBoAAooBoooooBCoDEEECoDoooCoDoFF\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": "oooBBBoooooooooCooAADCoEooDFGEooDFGE", "size": 6, "moves": 7, "solution": ["C^1", "D^3", "A>3", "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: oooBBBoooooooooCooAADCoEooDFGEooDFGE\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^3,A>3,Bv1,B<1,E^3,A>1\n"]}} {"board": "oooooooooooooooBBBCCCDEFoAADEFoooDEF", "size": 6, "moves": 5, "solution": ["B<3", "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: oooooooooooooooBBBCCCDEFoAADEFoooDEF\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<3,D^2,E^2,F^2,A>3\n"]}} {"board": "BBBooCoDEEECFDoGooFDoGoooooHIooAAHIo", "size": 6, "moves": 6, "solution": ["Dv1", "D<2", "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: BBBooCoDEEECFDoGooFDoGoooooHIooAAHIo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,D<2,G^1,H^1,I^1,A>3\n"]}} {"board": "oBoooCoBoAACoBDEEEFoDooGFooHHGIIooJJ", "size": 6, "moves": 6, "solution": ["D^2", "E<1", "J<1", "Gv1", "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: oBoooCoBoAACoBDEEEFoDooGFooHHGIIooJJ\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,E<1,J<1,Gv1,Dv2,A>1\n"]}} {"board": "BBBooCoooAACoDooEEoDFGGGoDFoooooFooo", "size": 6, "moves": 7, "solution": ["E<1", "Cv1", "B>3", "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: BBBooCoooAACoDooEEoDFGGGoDFoooooFooo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Cv1,B>3,F^3,G<1,Dv1,A>1\n"]}} {"board": "ooooooooooooAAooBooCCCBoDDEoBoooEFFF", "size": 6, "moves": 7, "solution": ["B^2", "C>2", "E^4", "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: ooooooooooooAAooBooCCCBoDDEoBoooEFFF\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^2,C>2,E^4,D<2,F<2,Cv3,A>4\n"]}} {"board": "oBooCooBooCDooEEEDoooFGoAAHFGoooHooo", "size": 6, "moves": 7, "solution": ["D^1", "E>1", "H^4", "F<3", "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: oBooCooBooCDooEEEDoooFGoAAHFGoooHooo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E>1,H^4,F<3,G^1,H^1,A>4\n"]}} {"board": "AAooBoooCoBoooCoBoDEoFFFDEGoooDEGooo", "size": 6, "moves": 5, "solution": ["A>2", "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: AAooBoooCoBoooCoBoDEoFFFDEGoooDEGooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,E^3,F<2,Cv1,A>2\n"]}} {"board": "AAoBCDoooBCDEEEBoDFGGGHoFIooHJoIKKoJ", "size": 6, "moves": 6, "solution": ["Cv1", "Cv1", "Fv1", "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: AAoBCDoooBCDEEEBoDFGGGHoFIooHJoIKKoJ\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Cv1,Fv1,F<1,Bv1,A>4\n"]}} {"board": "BBBCCCoooDDDEoAAoFEoGHHFEoGooFIIGJJJ", "size": 6, "moves": 5, "solution": ["A>1", "G^1", "J<1", "Gv1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BBBCCCoooDDDEoAAoFEoGHHFEoGooFIIGJJJ\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,G^1,J<1,Gv1,A>1\n"]}} {"board": "ooooBoAAooBoooooBoCDooooCDoEEEoDooFF", "size": 6, "moves": 5, "solution": ["A>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: ooooBoAAooBoooooBoCDooooCDoEEEoDooFF\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,D^2,E<2,Bv2,A>2\n"]}} {"board": "oAABoCDoEBoCDoEoFFDooGGGHHoooooooIII", "size": 6, "moves": 5, "solution": ["Ev2", "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: oAABoCDoEBoCDoEoFFDooGGGHHoooooooIII\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv2,E<3,Bv1,Bv1,A>3\n"]}} {"board": "ooooooooooBoAAooBooCooBoDCoEEEDCoooo", "size": 6, "moves": 5, "solution": ["A>2", "C^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: ooooooooooBoAAooBooCooBoDCoEEEDCoooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,C^2,E<2,Cv2,A>2\n"]}} {"board": "oooBBBooCoooooCDDDAAoEooFooEooFooEoo", "size": 6, "moves": 5, "solution": ["B<3", "Cv3", "C<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: oooBBBooCoooooCDDDAAoEooFooEooFooEoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<3,Cv3,C<3,D^3,A>4\n"]}} {"board": "BoooCDBEEECDAAoooDoooFFFGHHHooGoIIJJ", "size": 6, "moves": 5, "solution": ["F<1", "I<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: BoooCDBEEECDAAoooDoooFFFGHHHooGoIIJJ\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,I<1,J<1,Dv3,A>4\n"]}} {"board": "oooBBBoAAooCoDoooCoDoEECFGHIJJFGHIKK", "size": 6, "moves": 7, "solution": ["A>1", "D^1", "E<2", "I^2", "J<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: oooBBBoAAooCoDoooCoDoEECFGHIJJFGHIKK\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,D^1,E<2,I^2,J<1,Dv1,A>2\n"]}} {"board": "BoCDDDBECoFGoECoFGooAAoGHHHooooooIII", "size": 6, "moves": 5, "solution": ["A>1", "Cv1", "C<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: BoCDDDBECoFGoECoFGooAAoGHHHooooooIII\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,Cv1,C<1,G^1,A>1\n"]}} {"board": "ooBBBooooCCCoooooDoooEFDAAoEFDGGoEFo", "size": 6, "moves": 5, "solution": ["C<3", "D^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: ooBBBooooCCCoooooDoooEFDAAoEFDGGoEFo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<3,D^1,E^2,F^2,A>4\n"]}} {"board": "oooooBoooooBooAAoBoCCDoooooDoooooDEE", "size": 6, "moves": 6, "solution": ["A<1", "D^1", "E<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: oooooBoooooBooAAoBoCCDoooooDoooooDEE\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<1,D^1,E<3,Bv3,Bv1,A>3\n"]}} {"board": "ooBoooooBoooooBCCCooooooooAAoDoEEEoD", "size": 6, "moves": 7, "solution": ["A>1", "D^1", "E>2", "Bv3", "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: ooBoooooBoooooBCCCooooooooAAoDoEEEoD\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,D^1,E>2,Bv3,B<1,D^1,A>1\n"]}} {"board": "oooooooBBBoCoooooCAADooCooDoooooDooo", "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: oooooooBBBoCoooooCAADooCooDoooooDooo\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": "oooooooooooooBoCCCoBooDooBooDoAAooDo", "size": 6, "moves": 5, "solution": ["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: oooooooooooooBoCCCoBooDooBooDoAAooDo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,Bv1,B<2,D^1,A>2\n"]}} {"board": "ooooBoAAoCBoDooCooDEEEooDFoGGGoFHHoo", "size": 6, "moves": 6, "solution": ["Bv2", "A>1", "C^2", "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: ooooBoAAoCBoDooCooDEEEooDFoGGGoFHHoo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>1,C^2,E<1,Cv1,A>3\n"]}} {"board": "ooooBoCAAoBoCDooBoCDoEEEoooFFFoooooo", "size": 6, "moves": 6, "solution": ["A>1", "D^1", "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: ooooBoCAAoBoCDooBoCDoEEEoooFFFoooooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,D^1,E<2,F<2,Bv2,A>2\n"]}} {"board": "ooooBoCAAoBoCoDEEEooDFFFoooGGGoooHHH", "size": 6, "moves": 5, "solution": ["Dv2", "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: ooooBoCAAoBoCoDEEEooDFFFoooGGGoooHHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv2,D<2,E<2,Bv2,A>3\n"]}} {"board": "ooBCCCooBooooooooDooEEEDoooAAFoooooF", "size": 6, "moves": 5, "solution": ["Bv1", "B<1", "D^2", "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: ooBCCCooBooooooooDooEEEDoooAAFoooooF\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,B<1,D^2,F^2,A>1\n"]}} {"board": "oooBBBoAACDEFFFCDEoGooDEHGoIIoHGJJKK", "size": 6, "moves": 5, "solution": ["Cv1", "Dv1", "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: oooBBBoAACDEFFFCDEoGooDEHGoIIoHGJJKK\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Dv1,I<1,Cv1,A>3\n"]}} {"board": "oooooooBBBooooooooCoDEEECoDAAFooDooF", "size": 6, "moves": 5, "solution": ["B>2", "D^3", "E<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: oooooooBBBooooooooCoDEEECoDAAFooDooF\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB>2,D^3,E<1,F^2,A>1\n"]}} {"board": "AAoBoCDDoBECFGGBECFoHHHoIIoJJJoooKKo", "size": 6, "moves": 6, "solution": ["Cv1", "C>1", "F^1", "H<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: AAoBoCDDoBECFGGBECFoHHHoIIoJJJoooKKo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,C>1,F^1,H<2,Bv1,A>4\n"]}} {"board": "oBCCCooBoDEooooDEooAADEooooFFFGGGHHH", "size": 6, "moves": 5, "solution": ["Bv1", "B<2", "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: oBCCCooBoDEooooDEooAADEooooFFFGGGHHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,B<2,D^1,E^1,A>3\n"]}} {"board": "AAoBCDoEEBCDFGGoCDFoooHHFIoJJJoIKKKo", "size": 6, "moves": 5, "solution": ["Bv1", "H<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: AAoBCDoEEBCDFGGoCDFoooHHFIoJJJoIKKKo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,H<2,Bv1,Bv1,A>4\n"]}} {"board": "BoCCCoBooDooEEEDooooFooGooFooGAAFooG", "size": 6, "moves": 8, "solution": ["Dv2", "D>3", "E^1", "A>3", "Dv1", "D<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: BoCCCoBooDooEEEDooooFooGooFooGAAFooG\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv2,D>3,E^1,A>3,Dv1,D<1,G^1,A>1\n"]}} {"board": "BBBooCooDooCooDooCAADooooooooooEEooo", "size": 6, "moves": 8, "solution": ["Cv1", "B>3", "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: BBBooCooDooCooDooCAADooooooooooEEooo\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,B>3,C^1,A>3,Bv1,B<1,D^1,A>1\n"]}} {"board": "ooooooBBBoCooDDDCEooooCEFAAGoHFooGoH", "size": 6, "moves": 5, "solution": ["D<1", "E^2", "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: ooooooBBBoCooDDDCEooooCEFAAGoHFooGoH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,E^2,G^2,H^2,A>3\n"]}} {"board": "ooooBoooooBooAAoBooooCCCoooooooDDoEE", "size": 6, "moves": 5, "solution": ["C<2", "D<1", "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: ooooBoooooBooAAoBooooCCCoooooooDDoEE\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,D<1,E<2,Bv3,A>3\n"]}} {"board": "ooooBooCCCBDoooEBDAAoEFDGoooFoGooHHH", "size": 6, "moves": 6, "solution": ["C<1", "D^1", "E^1", "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: ooooBooCCCBDoooEBDAAoEFDGoooFoGooHHH\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,D^1,E^1,H<2,Fv1,A>4\n"]}} {"board": "BooCCCBooDDDooEEEFAAoGHFoooGHFoIIGJJ", "size": 6, "moves": 9, "solution": ["A>1", "Bv3", "B<3", "C<3", "D<2", "E^2", "G^3", "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: BooCCCBooDDDooEEEFAAoGHFoooGHFoIIGJJ\nOptimal length (moves): 9\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,Bv3,B<3,C<3,D<2,E^2,G^3,H^2,A>3\n"]}} {"board": "ooooooooBBBooooCoooooCoDAAoEoDoooEoo", "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: ooooooooBBBooooCoooooCoDAAoEoDoooEoo\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": "ooBBBCoAAooCoDDEooFooEGGFoooHHFIIIJJ", "size": 6, "moves": 5, "solution": ["E^1", "G<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: ooBBBCoAAooCoDDEooFooEGGFoooHHFIIIJJ\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,G<3,Cv2,Cv1,A>3\n"]}} {"board": "oooBoCoAABoCooDDDCoooEEEFFooGoooHHGo", "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: oooBoCoAABoCooDDDCoooEEEFFooGoooHHGo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<2,E<3,Bv2,Bv2,A>3\n"]}} {"board": "BCoooDBCoAADoEFGGGHEFooIHJoooIHJKKKo", "size": 6, "moves": 5, "solution": ["F^2", "G<1", "Iv1", "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: BCoooDBCoAADoEFGGGHEFooIHJoooIHJKKKo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^2,G<1,Iv1,Ev2,A>1\n"]}} {"board": "ooBooCAABoDCoEEEDCoooFDooooFGGHHHFoo", "size": 6, "moves": 9, "solution": ["E<1", "F^2", "G<3", "Cv3", "Cv2", "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: ooBooCAABoDCoEEEDCoooFDooooFGGHHHFoo\nOptimal length (moves): 9\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,F^2,G<3,Cv3,Cv2,Cv2,C>3,Bv2,A>4\n"]}} {"board": "oBAACooBooCooBoDDDooEEFoGGooFoooHHFo", "size": 6, "moves": 5, "solution": ["G>2", "Bv3", "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: oBAACooBooCooBoDDDooEEFoGGooFoooHHFo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nG>2,Bv3,C<2,Bv1,A>2\n"]}} {"board": "oAAoBooCCCBoDEoFFFDEoGGHDEIIIHoJJJoo", "size": 6, "moves": 5, "solution": ["J>1", "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: oAAoBooCCCBoDEoFFFDEoGGHDEIIIHoJJJoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nJ>1,Ev1,E<2,Bv1,A>3\n"]}} {"board": "BAAoCDBoEECDoFFGGDHIIIooHoJKKKHoJooo", "size": 6, "moves": 5, "solution": ["Dv1", "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: BAAoCDBoEECDoFFGGDHIIIooHoJKKKHoJooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,F<1,G<1,Cv1,A>3\n"]}} {"board": "oooooooooBoooooBCoDDDoCoAAEoCFooEooF", "size": 6, "moves": 5, "solution": ["C^2", "F^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: oooooooooBoooooBCoDDDoCoAAEoCFooEooF\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,F^3,E>3,F^2,A>4\n"]}} {"board": "ooBoooooBCCCoooooooAAoDooEooDooEooDo", "size": 6, "moves": 5, "solution": ["A<1", "Bv4", "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: ooBoooooBCCCoooooooAAoDooEooDooEooDo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<1,Bv4,B<2,C^3,A>4\n"]}} {"board": "AABooCooBooCDDDooCooooooooEEooooooFF", "size": 6, "moves": 5, "solution": ["F<1", "Cv3", "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: AABooCooBooCDDDooCooooooooEEooooooFF\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Cv3,C>3,Bv1,A>4\n"]}} {"board": "oooooooooooooBBBoCoooDoCoAADoEoooDoE", "size": 6, "moves": 5, "solution": ["B<1", "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: oooooooooooooBBBoCoooDoCoAADoEoooDoE\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,C^2,D^2,E^2,A>3\n"]}} {"board": "ooAAoBooooCBooooCBooDEEEooDooFooDooF", "size": 6, "moves": 5, "solution": ["A>1", "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: ooAAoBooooCBooooCBooDEEEooDooFooDooF\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,D^3,E<1,Cv1,A>1\n"]}} {"board": "ooBBBCoooDoCAAoDoCEEooooooFGGGooFooo", "size": 6, "moves": 7, "solution": ["B<2", "D^1", "A>3", "F^2", "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: ooBBBCoooDoCAAoDoCEEooooooFGGGooFooo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,D^1,A>3,F^2,G<1,Dv3,A>1\n"]}} {"board": "ooAABCDoEoBCDoEooFoooooFoooooFoooGGG", "size": 6, "moves": 5, "solution": ["Bv1", "G<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: ooAABCDoEoBCDoEooFoooooFoooooFoooGGG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,G<1,Fv1,Bv1,A>2\n"]}} {"board": "oooooooooBBBoAAooCoooDoCEFFDoCEooDGG", "size": 6, "moves": 5, "solution": ["D^1", "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: oooooooooBBBoAAooCoooDoCEFFDoCEooDGG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,G<3,Cv1,Cv1,A>3\n"]}} {"board": "ooBBBoooooooAAoCooDooCEoDooCEoDFFFEo", "size": 6, "moves": 5, "solution": ["A>1", "D^1", "F<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: ooBBBoooooooAAoCooDooCEoDooCEoDFFFEo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,D^1,F<1,Dv1,A>3\n"]}} {"board": "ooBCoDoEBCoDoEAAoDFEGoooFoGoooooGHHH", "size": 6, "moves": 5, "solution": ["A>1", "G^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: ooBCoDoEBCoDoEAAoDFEGoooFoGoooooGHHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,G^1,H<1,Dv3,A>1\n"]}} {"board": "ooooBoAACoBoooCoDDoooEEooFoGHIoFoGHI", "size": 6, "moves": 5, "solution": ["Cv3", "C<2", "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: ooooBoAACoBoooCoDDoooEEooFoGHIoFoGHI\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv3,C<2,D<1,Bv2,A>4\n"]}} {"board": "oooooBooAAoBCoooooCoDEEEoFDooooFDooo", "size": 6, "moves": 5, "solution": ["A>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: oooooBooAAoBCoooooCoDEEEoFDooooFDooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,D^3,E<1,Cv2,A>1\n"]}} {"board": "ooooooooooooooAAoBoooCoBoDoCoBoDoCEE", "size": 6, "moves": 7, "solution": ["A<1", "C^1", "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: ooooooooooooooAAoBoooCoBoDoCoBoDoCEE\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<1,C^1,D^1,E<3,Bv1,Bv1,A>3\n"]}} {"board": "oAABooCCoBoooDEFFFoDEoooooooooGGGHHH", "size": 6, "moves": 5, "solution": ["Dv1", "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: oAABooCCoBoooDEFFFoDEoooooooooGGGHHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,Dv1,D<3,Bv1,A>3\n"]}} {"board": "AAoooBoooooBCCoooBDoEFFFDoEoooDoEooo", "size": 6, "moves": 5, "solution": ["A>3", "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: AAoooBoooooBCCoooBDoEFFFDoEoooDoEooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>3,E^3,F<1,Cv1,A>1\n"]}} {"board": "ooBBBoooCoDoAACoDoooooDoooooEEoooFFF", "size": 6, "moves": 5, "solution": ["E<4", "Cv2", "F<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: ooBBBoooCoDoAACoDoooooDoooooEEoooFFF\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<4,Cv2,F<2,Cv2,A>4\n"]}} {"board": "oAABooCDDBEFCGoHEFIGJHEFIGJHKKIooLLL", "size": 6, "moves": 6, "solution": ["C^1", "I^1", "L<3", "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: oAABooCDDBEFCGoHEFIGJHEFIGJHKKIooLLL\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,I^1,L<3,Iv1,Cv1,A>3\n"]}} {"board": "oBCCCDoBAAoDoBEFFoGoEHHHGoEoIIGJJoKK", "size": 6, "moves": 7, "solution": ["Dv1", "C>1", "A>1", "E^2", "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: oBCCCDoBAAoDoBEFFoGoEHHHGoEoIIGJJoKK\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,C>1,A>1,E^2,H<1,Ev1,A>1\n"]}} {"board": "ooBCCCooBDooooBDoEFAAooEFooooEFooooo", "size": 6, "moves": 5, "solution": ["A>2", "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: ooBCCCooBDooooBDoEFAAooEFooooEFooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,Bv1,B<1,E^2,A>1\n"]}} {"board": "AABooCDDBooCoEFFFoGEHIIIGEHJJJGoHKKo", "size": 6, "moves": 7, "solution": ["F>1", "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: AABooCDDBooCoEFFFoGEHIIIGEHJJJGoHKKo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nF>1,Bv1,A>3,D^1,F<1,Cv1,A>1\n"]}} {"board": "ooooBooAAoBoooCCDDooooEoFGooEoFGoooo", "size": 6, "moves": 5, "solution": ["C<2", "D<2", "Ev1", "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: ooooBooAAoBoooCCDDooooEoFGooEoFGoooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,D<2,Ev1,Bv2,A>3\n"]}} {"board": "BoooCDBAAoCDBoooCDoEoooooEoFGGoooFoo", "size": 6, "moves": 5, "solution": ["F^2", "G<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: BoooCDBAAoCDBoooCDoEoooooEoFGGoooFoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^2,G<2,Cv2,Cv2,A>3\n"]}} {"board": "ooooooAAoBoooooBooCooBooCDDDEoCoooEo", "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: ooooooAAoBoooooBooCooBooCDDDEoCoooEo\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": "oAABCooooBCooDDDCoooEEEooooFFooooGGG", "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: oAABCooooBCooDDDCoooEEEooooFFooooGGG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv1,E<1,Bv1,A>3\n"]}} {"board": "AABCooooBCoooooDDDooEEEFGooooFGHHooF", "size": 6, "moves": 6, "solution": ["D<3", "E<2", "Cv3", "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: AABCooooBCoooooDDDooEEEFGooooFGHHooF\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<3,E<2,Cv3,C>3,Bv1,A>4\n"]}} {"board": "ooBBBoCDEEEoCDoFFFoDAAGHIoJoGHIoJoGH", "size": 6, "moves": 7, "solution": ["B<1", "Dv2", "D<1", "E<2", "G^3", "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: ooBBBoCDEEEoCDoFFFoDAAGHIoJoGHIoJoGH\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,Dv2,D<1,E<2,G^3,H^3,A>2\n"]}} {"board": "ooooooAAooBooCooBooCDoEEoCDoooooFFFo", "size": 6, "moves": 5, "solution": ["F>1", "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: ooooooAAooBooCooBooCDoEEoCDoooooFFFo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nF>1,Dv1,D<2,Bv1,A>4\n"]}} {"board": "ooooBoooooBCooAABCooDDEEoooFFFoooGGG", "size": 6, "moves": 7, "solution": ["C^1", "D<2", "E<2", "F<2", "G<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: ooooBoooooBCooAABCooDDEEoooFFFoooGGG\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D<2,E<2,F<2,G<2,Bv3,A>2\n"]}} {"board": "oooBCDoAABCDooEoCDoFEoooGFoHHoGFoooo", "size": 6, "moves": 5, "solution": ["Bv2", "Cv2", "H<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: oooBCDoAABCDooEoCDoFEoooGFoHHoGFoooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,Cv2,H<1,Bv2,A>3\n"]}} {"board": "oAAoBoCoooBoCDDEFFCGHEIIoGHoJooGHoJo", "size": 6, "moves": 6, "solution": ["Cv2", "C<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: oAAoBoCoooBoCDDEFFCGHEIIoGHoJooGHoJo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,C<1,Dv1,D<2,Bv1,A>3\n"]}} {"board": "ooAABCDoEEBCDFoooCDFGHHHoFGoIIJJGKKK", "size": 6, "moves": 8, "solution": ["Bv1", "A>1", "Cv1", "C<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: ooAABCDoEEBCDFoooCDFGHHHoFGoIIJJGKKK\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>1,Cv1,C<2,G^3,H<1,Cv1,A>1\n"]}} {"board": "ooBCoDEoBCoDEoBCoDFoGHHHFoGooIFAAooI", "size": 6, "moves": 5, "solution": ["A>2", "Gv1", "G<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: ooBCoDEoBCoDEoBCoDFoGHHHFoGooIFAAooI\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,Gv1,G<1,I^1,A>1\n"]}} {"board": "ooooBCoooDBCAAoDBCoooDooooooooooooEE", "size": 6, "moves": 5, "solution": ["E<3", "Bv3", "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: ooooBCoooDBCAAoDBCoooDooooooooooooEE\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<3,Bv3,Bv3,Bv2,A>4\n"]}} {"board": "ooBoCoAABoCoooooCDEFFooDEooGoDEooGHH", "size": 6, "moves": 5, "solution": ["F>2", "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: ooBoCoAABoCoooooCDEFFooDEooGoDEooGHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nF>2,Bv4,E<1,Bv2,A>4\n"]}} {"board": "oooBooooCBooAACBoooooDDDEoooFoEGGGFo", "size": 6, "moves": 7, "solution": ["C^1", "A>1", "E^3", "E<3", "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: oooBooooCBooAACBoooooDDDEoooFoEGGGFo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>1,E^3,E<3,G<1,Cv3,A>3\n"]}} {"board": "oooBBBoCCCoDAAoEoDoFoEoooFGGGooFooHH", "size": 6, "moves": 5, "solution": ["B<3", "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: oooBBBoCCCoDAAoEoDoFoEoooFGGGooFooHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<3,C<1,D^1,E^2,A>4\n"]}} {"board": "ooBBBoCCCoDEFAAoDEFoGoDEHHGoooooGoII", "size": 6, "moves": 9, "solution": ["C>1", "F^2", "A<1", "G^1", "I<4", "Ev2", "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: ooBBBoCCCoDEFAAoDEFoGoDEHHGoooooGoII\nOptimal length (moves): 9\nReturn only the and blocks.", "\nShortest path found.\n\n\nC>1,F^2,A<1,G^1,I<4,Ev2,Ev2,Ev1,A>4\n"]}} {"board": "oAAooBoooooBCCoDDBEFGHHHEFGoooEFGooo", "size": 6, "moves": 5, "solution": ["A>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: oAAooBoooooBCCoDDBEFGHHHEFGoooEFGooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,G^3,H<1,Cv1,A>1\n"]}} {"board": "ooooBCoAAoBCooooBooDooEEoDoFFooDoGGG", "size": 6, "moves": 5, "solution": ["E<2", "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: ooooBCoAAoBCooooBooDooEEoDoFFooDoGGG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<2,Cv2,F<1,Bv2,A>3\n"]}} {"board": "oooBoooooBoooAABoCDEEEoCDooooooooooo", "size": 6, "moves": 5, "solution": ["C^2", "D^2", "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: oooBoooooBoooAABoCDEEEoCDooooooooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,D^2,E<1,Bv3,A>3\n"]}} {"board": "oAAoBoCDooBoCDEEEoFDoooGFHHHoGFIIooo", "size": 6, "moves": 6, "solution": ["H>1", "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: oAAoBoCDooBoCDEEEoFDoooGFHHHoGFIIooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nH>1,I>1,Dv2,D<1,Bv1,A>3\n"]}} {"board": "oBoAACoBoDDCoBEFFFoGEHHHoGEoIIoGJJJo", "size": 6, "moves": 5, "solution": ["J>1", "Ev1", "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: oBoAACoBoDDCoBEFFFoGEHHHoGEoIIoGJJJo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nJ>1,Ev1,E<1,Cv1,A>1\n"]}} {"board": "BoCDDDBoCoooBoCoEFoGHoEFoGHAAIJJoKKI", "size": 6, "moves": 6, "solution": ["Hv1", "Cv1", "C<1", "F^2", "I^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: BoCDDDBoCoooBoCoEFoGHoEFoGHAAIJJoKKI\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nHv1,Cv1,C<1,F^2,I^2,A>1\n"]}} {"board": "oooBooCCCBoooooDoooAADoEFGGGoEFooooE", "size": 6, "moves": 5, "solution": ["E^3", "F^2", "G<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: oooBooCCCBoooooDoooAADoEFGGGoEFooooE\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^3,F^2,G<1,Fv2,A>3\n"]}} {"board": "ooooBooCAABooCDoooECDFFFEoGGooEooooo", "size": 6, "moves": 6, "solution": ["C^1", "G>1", "Dv2", "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: ooooBooCAABooCDoooECDFFFEoGGooEooooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,G>1,Dv2,E<2,Cv2,A>2\n"]}} {"board": "BoAACDBoooCDoEoFFFoEGGHHIEJJKKILLLoo", "size": 6, "moves": 6, "solution": ["L>1", "Ev1", "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: BoAACDBoooCDoEoFFFoEGGHHIEJJKKILLLoo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nL>1,Ev1,E<2,Cv1,Cv1,A>2\n"]}} {"board": "BCCCooBDDDooEEEoFoGoHIFJGoHIKJAAHoKJ", "size": 6, "moves": 9, "solution": ["F^2", "F>3", "H^1", "K^1", "A>3", "Fv1", "F<1", "K^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: BCCCooBDDDooEEEoFoGoHIFJGoHIKJAAHoKJ\nOptimal length (moves): 9\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^2,F>3,H^1,K^1,A>3,Fv1,F<1,K^1,A>1\n"]}} {"board": "oooooooBoCCCoBooDoooooDEAAooDEoooooE", "size": 6, "moves": 5, "solution": ["Bv1", "B<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: oooooooBoCCCoBooDoooooDEAAooDEoooooE\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,B<2,D^1,E^2,A>4\n"]}} {"board": "oAABCoDDDBCooooBEEoFooooGFooooGFHHoo", "size": 6, "moves": 5, "solution": ["H>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: oAABCoDDDBCooooBEEoFooooGFooooGFHHoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nH>2,Bv3,D<2,Bv1,A>3\n"]}} {"board": "oooBBBCDoEEECDoFFFCDooGoooHoGoAAHoGo", "size": 6, "moves": 6, "solution": ["H^1", "A>2", "Dv2", "E<2", "H^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: oooBBBCDoEEECDoFFFCDooGoooHoGoAAHoGo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nH^1,A>2,Dv2,E<2,H^1,A>2\n"]}} {"board": "ooooooooBoooooBCCCAABooDEEoooDoooooD", "size": 6, "moves": 6, "solution": ["B^1", "A>3", "Bv3", "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: ooooooooBoooooBCCCAABooDEEoooDoooooD\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,A>3,Bv3,B<1,D^3,A>1\n"]}} {"board": "ooooooBoCDDDBECooFBEAAoFoGHHIIoGoooo", "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: ooooooBoCDDDBECooFBEAAoFoGHHIIoGoooo\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": "BoCCCoBoDEEEoFDooooFAAGHIIIoGHoooooH", "size": 6, "moves": 6, "solution": ["Gv1", "A>1", "Dv1", "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: BoCCCoBoDEEEoFDooooFAAGHIIIoGHoooooH\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nGv1,A>1,Dv1,D<1,G^3,A>1\n"]}} {"board": "ooooooooBCCCooBooooAAoDoooooDoEEEoDo", "size": 6, "moves": 7, "solution": ["A<1", "Bv1", "B<2", "D^3", "E>3", "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: ooooooooBCCCooBooooAAoDoooooDoEEEoDo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<1,Bv1,B<2,D^3,E>3,Dv2,A>4\n"]}} {"board": "AAooBooCooBoDCooBoDCoEEEDooooooFFoGG", "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: AAooBooCooBoDCooBoDCoEEEDooooooFFoGG\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": "oooooBoooCoBAAoCoBoooCooooDoEEooDoFF", "size": 6, "moves": 6, "solution": ["D^4", "E<3", "F<3", "Cv3", "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: oooooBoooCoBAAoCoBoooCooooDoEEooDoFF\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^4,E<3,F<3,Cv3,Cv2,A>4\n"]}} {"board": "oAAooBooCDDBooCooBoEFFGGoEoHHHoooIII", "size": 6, "moves": 5, "solution": ["E^2", "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: oAAooBooCDDBooCooBoEFFGGoEoHHHoooIII\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^2,F<1,G<1,Bv1,A>3\n"]}} {"board": "BCooooBCDDDEBooFoEoooFoEoAAFoooooooo", "size": 6, "moves": 5, "solution": ["Bv2", "Bv2", "B<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: BCooooBCDDDEBooFoEoooFoEoAAFoooooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,Bv2,B<2,F^1,A>3\n"]}} {"board": "oooooBAAoooBooCooBoDCEEooDCFFFoDoGGG", "size": 6, "moves": 5, "solution": ["A>3", "C^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: oooooBAAoooBooCooBoDCEEooDCFFFoDoGGG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>3,C^1,F<1,Bv2,A>1\n"]}} {"board": "AAooBooooCBoDDoCEFooGGEFHIJoEFHIJoKK", "size": 6, "moves": 6, "solution": ["G<2", "J^1", "K<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: AAooBooooCBoDDoCEFooGGEFHIJoEFHIJoKK\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<2,J^1,K<2,Ev1,Bv1,A>4\n"]}} {"board": "AAoBoCoDDBoCEooBoCEooFFFEooooooGGooo", "size": 6, "moves": 6, "solution": ["A>1", "E^2", "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: AAoBoCoDDBoCEooBoCEooFFFEooooooGGooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,E^2,F<3,Cv1,Cv1,A>3\n"]}} {"board": "AAoooBoCCCoBDDDooBoooEFFoooEoooooEoo", "size": 6, "moves": 6, "solution": ["C<1", "E^3", "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: AAoooBoCCCoBDDDooBoooEFFoooEoooooEoo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,E^3,F<3,Bv1,Bv1,A>4\n"]}} {"board": "ooBBBooooCCCoooDooAAoDEoooooEoooooEo", "size": 6, "moves": 5, "solution": ["B<1", "C<2", "Dv2", "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: ooBBBooooCCCoooDooAAoDEoooooEoooooEo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,C<2,Dv2,D^3,A>4\n"]}} {"board": "ooBoCoooBDCooAADEFoGooEFHGIoEFHGIoJJ", "size": 6, "moves": 6, "solution": ["D^1", "I^1", "J<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: ooBoCoooBDCooAADEFoGooEFHGIoEFHGIoJJ\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,I^1,J<2,Ev1,Ev1,A>3\n"]}} {"board": "ooBCooAABCoDoEEEFDooGGFDHHooFooIIIoo", "size": 6, "moves": 8, "solution": ["Dv2", "D<1", "Ev1", "E<2", "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: ooBCooAABCoDoEEEFDooGGFDHHooFooIIIoo\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv2,D<1,Ev1,E<2,Cv3,C>3,Bv2,A>4\n"]}} {"board": "ooBCooAABCoooooDDDoEFFooGEHHooGEIIIo", "size": 6, "moves": 6, "solution": ["F>2", "H>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: ooBCooAABCoooooDDDoEFFooGEHHooGEIIIo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nF>2,H>1,Bv3,C<3,Bv2,A>4\n"]}} {"board": "oooooooBCDDDoBCoooooCooEooAAoEooFFoE", "size": 6, "moves": 5, "solution": ["A>1", "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: oooooooBCDDDoBCoooooCooEooAAoEooFFoE\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,Cv1,C<1,E^2,A>1\n"]}} {"board": "ooooBoCCCoBoDoEFFFDoEooGAAoooGooHHoG", "size": 6, "moves": 5, "solution": ["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: ooooBoCCCoBoDoEFFFDoEooGAAoooGooHHoG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>3,Ev1,E<1,G^2,A>1\n"]}} {"board": "ooooBCAAooBCoDEoBCoDEoFFoooooooooGGG", "size": 6, "moves": 5, "solution": ["Ev2", "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: ooooBCAAooBCoDEoBCoDEoFFoooooooooGGG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv2,E<2,Bv2,Bv2,A>4\n"]}} {"board": "oBBBoCoooooCooooooooDEEEooDooFAADooF", "size": 6, "moves": 6, "solution": ["Cv1", "B>2", "D^3", "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: oBBBoCoooooCooooooooDEEEooDooFAADooF\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,B>2,D^3,E<1,F^1,A>4\n"]}} {"board": "oooooooAAooBCCoooBDEFFGGDEoHHoDEoIII", "size": 6, "moves": 7, "solution": ["A>1", "C>2", "E^3", "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: oooooooAAooBCCoooBDEFFGGDEoHHoDEoIII\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,C>2,E^3,F<1,G<1,Cv1,A>2\n"]}} {"board": "BoooCoBAAoCoooDDDooEFFFGoEoHHGoIIIoG", "size": 6, "moves": 6, "solution": ["A>1", "E^3", "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: BoooCoBAAoCoooDDDooEFFFGoEoHHGoIIIoG\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,E^3,E<1,F<1,Dv2,A>2\n"]}} {"board": "ooBBBoooooooooCCCoooDoooAADoEoooDoEo", "size": 6, "moves": 6, "solution": ["B<1", "C<1", "E^4", "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: ooBBBoooooooooCCCoooDoooAADoEoooDoEo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,C<1,E^4,D>2,E^2,A>4\n"]}} {"board": "oooooooBooooCBooDoCEEEDooAAFDooooFoo", "size": 6, "moves": 5, "solution": ["C^1", "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: oooooooBooooCBooDoCEEEDooAAFDooooFoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^1,E<1,F^2,A>3\n"]}} {"board": "oAAoBoCDDDBoCEEoFFGHHIoJGKKILJooooLo", "size": 6, "moves": 5, "solution": ["C^1", "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: oAAoBoCDDDBoCEEoFFGHHIoJGKKILJooooLo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,E<1,F<2,Cv1,A>3\n"]}} {"board": "oooBBBCDDDoECFFFGEHoooGoHAAIGoHooIJJ", "size": 6, "moves": 5, "solution": ["C^1", "F<1", "G^1", "I^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: oooBBBCDDDoECFFFGEHoooGoHAAIGoHooIJJ\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,F<1,G^1,I^2,A>3\n"]}} {"board": "oBBBoooooooCoDAAoCoDoooCoDEFGGHHEFII", "size": 6, "moves": 14, "solution": ["B<1", "E^1", "F^1", "H>2", "Dv1", "A<1", "F^3", "A>1", "E^1", "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: oBBBoooooooCoDAAoCoDoooCoDEFGGHHEFII\nOptimal length (moves): 14\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,E^1,F^1,H>2,Dv1,A<1,F^3,A>1,E^1,G<1,H<1,I<1,Dv2,A>2\n"]}} {"board": "oBoooooBCCCooooooooooDooAAEDooooEDoo", "size": 6, "moves": 5, "solution": ["Bv2", "B<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: oBoooooBCCCooooooooooDooAAEDooooEDoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,B<2,D^2,E^2,A>4\n"]}} {"board": "ooooBoooooBoCAAoDECFooDEoFooDEoFoGGG", "size": 6, "moves": 6, "solution": ["A>1", "F^1", "G<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: ooooBoooooBoCAAoDECFooDEoFooDEoFoGGG\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,F^1,G<2,Ev1,Ev1,A>2\n"]}} {"board": "oooBBBoCCCoDooAAoDEFGHHDEFGIJJEFGIoo", "size": 6, "moves": 10, "solution": ["B<3", "C<1", "D^1", "A<1", "H>1", "I^4", "I<1", "J<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: oooBBBoCCCoDooAAoDEFGHHDEFGIJJEFGIoo\nOptimal length (moves): 10\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<3,C<1,D^1,A<1,H>1,I^4,I<1,J<1,Dv3,A>3\n"]}} {"board": "oooooBoooooBoAAooBooCDEEFoCDooFoCDoo", "size": 6, "moves": 8, "solution": ["A<1", "C^3", "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: oooooBoooooBoAAooBooCDEEFoCDooFoCDoo\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<1,C^3,D^3,E<4,Bv3,Bv3,Bv3,A>4\n"]}} {"board": "AABooCooBooCooBoDDEoFFooEGGGooEoHHHo", "size": 6, "moves": 5, "solution": ["D<1", "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: AABooCooBooCooBoDDEoFFooEGGGooEoHHHo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Cv1,F>1,Bv1,A>4\n"]}} {"board": "oooooooooBCooAABCoDDoBCoooEFFFooEooo", "size": 6, "moves": 6, "solution": ["A<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: oooooooooBCooAABCoDDoBCoooEFFFooEooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<1,E^4,F<3,Cv2,Cv2,A>4\n"]}} {"board": "BoCCCoBooDDDBoEFFFGoEooHGoEooHoAAooH", "size": 6, "moves": 5, "solution": ["A>2", "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: BoCCCoBooDDDBoEFFFGoEooHGoEooHoAAooH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,Ev1,E<1,H^1,A>1\n"]}} {"board": "BoAACoBDEECooDFGGGHIFJJJHIooKLHIooKL", "size": 6, "moves": 5, "solution": ["D^1", "Fv1", "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: BoAACoBDEECooDFGGGHIFJJJHIooKLHIooKL\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,Fv1,F<2,Dv1,A>2\n"]}} {"board": "oAABooooCBooooCDDDEFGGHHEFoIIoooJJKK", "size": 6, "moves": 7, "solution": ["E^3", "Fv1", "F<2", "Dv2", "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: oAABooooCBooooCDDDEFGGHHEFoIIoooJJKK\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^3,Fv1,F<2,Dv2,D<3,Cv1,A>3\n"]}} {"board": "oooBBBAACDooooCDoooEEFooGooFoHGooooH", "size": 6, "moves": 5, "solution": ["E<1", "Cv1", "Fv1", "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: oooBBBAACDooooCDoooEEFooGooFoHGooooH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Cv1,Fv1,Cv1,A>4\n"]}} {"board": "oooBoCDAABoCDEEEoooFoGGooFHooooFHoII", "size": 6, "moves": 7, "solution": ["D^1", "E<1", "G>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: oooBoCDAABoCDEEEoooFoGGooFHooooFHoII\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E<1,G>1,Cv4,F<1,Cv2,A>3\n"]}} {"board": "oooooBoCAAoBoCoooBDCoEEEDFFGHHDooGoo", "size": 6, "moves": 7, "solution": ["C^1", "D^3", "E<3", "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: oooooBoCAAoBoCoooBDCoEEEDFFGHHDooGoo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^3,E<3,G^2,H<1,Dv2,A>2\n"]}} {"board": "ooAAoBoooCCBoDDDoBEFFFGGEHHIIIJJJKKK", "size": 6, "moves": 5, "solution": ["E^2", "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: ooAAoBoooCCBoDDDoBEFFFGGEHHIIIJJJKKK\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^2,F<1,G<1,Bv1,A>2\n"]}} {"board": "BooCCCBoAADoEFFoDoEGoHHHEGIJJJoGIooo", "size": 6, "moves": 5, "solution": ["F>1", "G^3", "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: BooCCCBoAADoEFFoDoEGoHHHEGIJJJoGIooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nF>1,G^3,H<2,Ev1,A>2\n"]}} {"board": "oAABooCCoBooDooBoEDoFFFEDooGGGHHIIIo", "size": 6, "moves": 5, "solution": ["C>1", "D^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: oAABooCCoBooDooBoEDoFFFEDooGGGHHIIIo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC>1,D^2,F<2,Cv1,A>3\n"]}} {"board": "AABooCooBDDCEooFFFEGGGoHEoIIIHoJJJoH", "size": 6, "moves": 6, "solution": ["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: AABooCooBDDCEooFFFEGGGoHEoIIIHoJJJoH\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3,C^1,F<1,Cv1,A>1\n"]}} {"board": "ooooooAAoooBooCooBDECFFFDECooooEoooo", "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: ooooooAAoooBooCooBDECFFFDECooooEoooo\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": "oooooooooooBoAAooBoooCoBoDoCEEoDoCoo", "size": 6, "moves": 8, "solution": ["A>1", "D^4", "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: oooooooooooBoAAooBoooCoBoDoCEEoDoCoo\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,D^4,A<1,D^2,E<3,Cv2,Cv2,A>3\n"]}} {"board": "oooBoooAABoooooBooCooDDoCooEEECoFFoo", "size": 6, "moves": 5, "solution": ["C^2", "D<2", "E<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: oooBoooAABoooooBooCooDDoCooEEECoFFoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,D<2,E<3,Bv2,A>3\n"]}} {"board": "ooooBCooooBCAAoDBooooDEEoFoooooFoGGG", "size": 6, "moves": 6, "solution": ["D^2", "E<2", "F^1", "G<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: ooooBCooooBCAAoDBooooDEEoFoooooFoGGG\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,E<2,F^1,G<2,Cv3,A>4\n"]}} {"board": "oBoCoooBoCooAAoCooooooooDooEEEDFFooo", "size": 6, "moves": 5, "solution": ["A>1", "D^2", "E<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: oBoCoooBoCooAAoCooooooooDooEEEDFFooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,D^2,E<3,Cv3,A>3\n"]}} {"board": "oBCooooBCDDDAACoEFooooEFooooEFoGGooo", "size": 6, "moves": 5, "solution": ["Ev1", "Ev1", "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: oBCooooBCDDDAACoEFooooEFooooEFoGGooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,Ev1,G<1,Cv3,A>4\n"]}} {"board": "ooooooooBoooooBCCCAABooDoooooDoEEooD", "size": 6, "moves": 7, "solution": ["B^1", "A>3", "E<1", "Bv3", "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: ooooooooBoooooBCCCAABooDoooooDoEEooD\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,A>3,E<1,Bv3,B<1,D^3,A>1\n"]}} {"board": "ooooooooBoooooBoooooBCCCDDDoEFAAooEF", "size": 6, "moves": 5, "solution": ["B^1", "C<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: ooooooooBoooooBoooooBCCCDDDoEFAAooEF\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,C<2,E^1,F^1,A>4\n"]}} {"board": "ooooooooooBCoAAoBCoDoEoCoDoEFFoooooo", "size": 6, "moves": 5, "solution": ["B^1", "E^3", "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: ooooooooooBCoAAoBCoDoEoCoDoEFFoooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,E^3,F<1,Dv2,A>3\n"]}} {"board": "ooooooooooooBoCCCDBoEEEDooAAFGoHHHFG", "size": 6, "moves": 6, "solution": ["C<1", "D^2", "E<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: ooooooooooooBoCCCDBoEEEDooAAFGoHHHFG\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,D^2,E<1,F^2,G^2,A>2\n"]}} {"board": "ooAABCDDDoBCEEEoBCFoGGHHFIIJJJFoKKKo", "size": 6, "moves": 8, "solution": ["D>1", "E>1", "F^3", "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: ooAABCDDDoBCEEEoBCFoGGHHFIIJJJFoKKKo\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nD>1,E>1,F^3,G<2,H<2,Cv1,Cv1,A>2\n"]}} {"board": "BooCoDBooCoDoAACEDFoGGEoFoooEoFHHHoo", "size": 6, "moves": 7, "solution": ["Dv3", "Dv1", "D^1", "E<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: BooCoDBooCoDoAACEDFoGGEoFoooEoFHHHoo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv3,Dv1,D^1,E<1,H<1,Cv3,A>3\n"]}} {"board": "ooooBCooooBCAAoDBCoooDoooEooFFoEoooo", "size": 6, "moves": 5, "solution": ["D^2", "F<2", "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: ooooBCooooBCAAoDBCoooDoooEooFFoEoooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,F<2,Cv3,Cv3,A>4\n"]}} {"board": "oooBoooooBoooAABoooCCooooDoooooDoEEE", "size": 6, "moves": 5, "solution": ["C>3", "D^1", "E<3", "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: oooBoooooBoooAABoooCCooooDoooooDoEEE\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC>3,D^1,E<3,Bv3,A>3\n"]}} {"board": "BoooCDBAAoCDEEFoooooFGGGHHoIIIJJoKKK", "size": 6, "moves": 5, "solution": ["Fv2", "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: BoooCDBAAoCDEEFoooooFGGGHHoIIIJJoKKK\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nFv2,F<2,Cv2,Cv2,A>3\n"]}} {"board": "BooooCBDoAACoDoEECoFGoHHIFGJJJIFoKKK", "size": 6, "moves": 5, "solution": ["G^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: BooooCBDoAACoDoEECoFGoHHIFGJJJIFoKKK\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nG^1,H<1,J<1,Cv2,A>1\n"]}} {"board": "oooooooooBBBAACooDooCooDooCooDoooEEE", "size": 6, "moves": 6, "solution": ["Cv1", "A>3", "D^1", "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: oooooooooBBBAACooDooCooDooCooDoooEEE\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>3,D^1,E<1,Dv1,A>1\n"]}} {"board": "oooAABoCCCoBDoEEoBDFFFGGHooIIIHoJJoo", "size": 6, "moves": 5, "solution": ["D^1", "F<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: oooAABoCCCoBDoEEoBDFFFGGHooIIIHoJJoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,F<1,G<1,Bv1,A>1\n"]}} {"board": "AABCoDooBCoDoEoooDFEooGGFHHHIIoJJKKK", "size": 6, "moves": 5, "solution": ["Bv1", "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: AABCoDooBCoDoEoooDFEooGGFHHHIIoJJKKK\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,G<1,Bv1,A>4\n"]}} {"board": "oooBBBoooCDooAACDoEooCDoEoFFFoEooooo", "size": 6, "moves": 5, "solution": ["E^2", "F<2", "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: oooBBBoooCDooAACDoEooCDoEoFFFoEooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^2,F<2,Dv2,Dv2,A>3\n"]}} {"board": "ooooooBCoAADBCoooDBCEEFFooGHHoooGIII", "size": 6, "moves": 5, "solution": ["C^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: ooooooBCoAADBCoooDBCEEFFooGHHoooGIII\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,E<1,F<1,Dv1,A>1\n"]}} {"board": "oooooooBBBoooooooooAACDEFooCDEFooCDE", "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: oooooooBBBoooooooooAACDEFooCDEFooCDE\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": "ooooBoAAoCBDoEECBDFFooGGooHHHIoJJJoI", "size": 6, "moves": 7, "solution": ["H<2", "J<1", "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: ooooBoAAoCBDoEECBDFFooGGooHHHIoJJJoI\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nH<2,J<1,Cv3,F<2,Bv2,Bv1,A>4\n"]}} {"board": "oBooooCBDDDoCBooEoCoooEoAAoFEooooFoo", "size": 6, "moves": 6, "solution": ["F^2", "A>2", "Bv2", "C<1", "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: oBooooCBDDDoCBooEoCoooEoAAoFEooooFoo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^2,A>2,Bv2,C<1,F^1,A>2\n"]}} {"board": "oooooooooooBooAAoBCooDoBCooDEECooDoo", "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: oooooooooooBooAAoBCooDoBCooDEECooDoo\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": "AAooBooCCCBoooooBoooDEEEFFDoooooGGGo", "size": 6, "moves": 5, "solution": ["G>1", "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: AAooBooCCCBoooooBoooDEEEFFDoooooGGGo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nG>1,Dv1,D<2,Bv1,A>4\n"]}} {"board": "oAAoBooCCCBoDDDoBoEFFGGoEHHHIIEooJJo", "size": 6, "moves": 6, "solution": ["D>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: oAAoBooCCCBoDDDoBoEFFGGoEHHHIIEooJJo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nD>1,E^3,F<1,G<1,Cv1,A>3\n"]}} {"board": "oooBCooooBCooAAoCDoEoFFDoEGooDoEGHHH", "size": 6, "moves": 8, "solution": ["A>1", "E^3", "F<3", "G^1", "H<2", "Dv3", "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: oooBCooooBCooAAoCDoEoFFDoEGooDoEGHHH\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,E^3,F<3,G^1,H<2,Dv3,Dv1,A>2\n"]}} {"board": "oBoooCDBEEECDAAooCFGooHHFGoIIooGJJKK", "size": 6, "moves": 7, "solution": ["A>1", "G^1", "H<1", "J<1", "K<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: oBoooCDBEEECDAAooCFGooHHFGoIIooGJJKK\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,G^1,H<1,J<1,K<1,Cv3,A>2\n"]}} {"board": "ooBBBooooCCCDoEEEoDooFoGAAoFoGoooFoG", "size": 6, "moves": 7, "solution": ["C<3", "G^2", "A>1", "Ev1", "E<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: ooBBBooooCCCDoEEEoDooFoGAAoFoGoooFoG\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<3,G^2,A>1,Ev1,E<2,G^2,A>3\n"]}} {"board": "BBBoCDEoAACDEFFoCDEGGooooHoIIIoHoJJJ", "size": 6, "moves": 7, "solution": ["F>1", "G>1", "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: BBBoCDEoAACDEFFoCDEGGooooHoIIIoHoJJJ\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nF>1,G>1,H^2,I<2,Cv2,Cv2,A>2\n"]}} {"board": "oAAoBCDDDoBCooEEECFoGoHHFoGIIoFoGoJJ", "size": 6, "moves": 5, "solution": ["E<1", "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: oAAoBCDDDoBCooEEECFoGoHHFoGIIoFoGoJJ\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv1,H<1,Bv1,A>3\n"]}} {"board": "oooBBBoooooooooCCCoAADEoooFDEoooFDEo", "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: oooBBBoooooooooCCCoAADEoooFDEoooFDEo\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": "ooooBoAAoCBoDooCEEDFoooGDFHHoGoFoooo", "size": 6, "moves": 5, "solution": ["C^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: ooooBoAAoCBoDooCEEDFoooGDFHHoGoFoooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,E<3,Bv2,Bv2,A>4\n"]}} {"board": "oBBBooooooooCCCoooDoEFFFDoEGHoAAEGHo", "size": 6, "moves": 8, "solution": ["B>2", "C>3", "D^2", "E^3", "F<3", "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: oBBBooooooooCCCoooDoEFFFDoEGHoAAEGHo\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nB>2,C>3,D^2,E^3,F<3,G^1,H^1,A>4\n"]}} {"board": "ooBBBCoDoAACEDFFGCEDHoGoEoHIIIooHJJJ", "size": 6, "moves": 7, "solution": ["Dv2", "Dv1", "D<2", "H^2", "I<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: ooBBBCoDoAACEDFFGCEDHoGoEoHIIIooHJJJ\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv2,Dv1,D<2,H^2,I<1,Cv2,A>1\n"]}} {"board": "ooooBoAAooBooCCoDDoooEFooooEFGHHHEoG", "size": 6, "moves": 5, "solution": ["C<1", "D<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: ooooBoAAooBooCCoDDoooEFooooEFGHHHEoG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,D<2,Fv1,Bv2,A>4\n"]}} {"board": "oAAoBoCoDoBoCEDFFFGEDoHHGEoIIIGooJJJ", "size": 6, "moves": 5, "solution": ["Dv2", "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: oAAoBoCoDoBoCEDFFFGEDoHHGEoIIIGooJJJ\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv2,Dv1,D<2,Bv1,A>3\n"]}} {"board": "ooooBoAAooBoooooBooCoDDooCEFFFoCEooo", "size": 6, "moves": 7, "solution": ["A>2", "C^3", "D<3", "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: ooooBoAAooBoooooBooCoDDooCEFFFoCEooo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,C^3,D<3,E^2,F<2,Cv2,A>2\n"]}} {"board": "ooooBoAAoCBooooCoooDoEEooDFooooDFooo", "size": 6, "moves": 5, "solution": ["E<1", "Bv4", "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: ooooBoAAoCBooooCoooDoEEooDFooooDFooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv4,D>2,Bv1,A>4\n"]}} {"board": "BCCCoDBoAAoDBooooDEFGoooEFGHHHEoGIIo", "size": 6, "moves": 5, "solution": ["A>1", "G^2", "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: BCCCoDBoAAoDBooooDEFGoooEFGHHHEoGIIo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,G^2,H<1,Dv2,A>1\n"]}} {"board": "ooBoooooBCCCoooDooAAoDoEooFFFEoGGGoo", "size": 6, "moves": 5, "solution": ["Ev1", "E<2", "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: ooBoooooBCCCoooDooAAoDoEooFFFEoGGGoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,E<2,G<1,Dv2,A>4\n"]}} {"board": "AABoooooBCoooDECFoGDEoFoGHHHoIoooooI", "size": 6, "moves": 5, "solution": ["I^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: AABoooooBCoooDECFoGDEoFoGHHHoIoooooI\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nI^2,I>2,Ev1,Bv1,A>4\n"]}} {"board": "BCCCoDBooAADBEEEFoooGGFHIIJKoHooJKLL", "size": 6, "moves": 6, "solution": ["G<1", "K^1", "L<1", "Iv1", "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: BCCCoDBooAADBEEEFoooGGFHIIJKoHooJKLL\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,K^1,L<1,Iv1,Dv2,A>1\n"]}} {"board": "BCCCoDBEoAADBEoFFDoEoGGGooHIIIooHJJJ", "size": 6, "moves": 5, "solution": ["H^3", "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: BCCCoDBEoAADBEoFFDoEoGGGooHIIIooHJJJ\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nH^3,H<1,I<1,Dv2,A>1\n"]}} {"board": "oBBBoCoooooCooAAoCooDEEoooDFFFGGoooo", "size": 6, "moves": 5, "solution": ["A>1", "D^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: oBBBoCoooooCooAAoCooDEEoooDFFFGGoooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,D^1,F<1,Cv3,A>1\n"]}} {"board": "oooBoCAAoBoCoDDDoCEoFFooEoooGGoooHHH", "size": 6, "moves": 6, "solution": ["D<1", "F<1", "Bv2", "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: oooBoCAAoBoCoDDDoCEoFFooEoooGGoooHHH\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,F<1,Bv2,G<1,Bv2,A>4\n"]}} {"board": "ooooooooooooooBCCCooBooDAABooDoooEEE", "size": 6, "moves": 6, "solution": ["B^1", "A>3", "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: ooooooooooooooBCCCooBooDAABooDoooEEE\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,A>3,Bv2,B<1,D^1,A>1\n"]}} {"board": "oBAAoCoBooDCoBooDEooooDEooFFoEooGGHH", "size": 6, "moves": 5, "solution": ["G<1", "H<1", "Ev1", "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: oBAAoCoBooDCoBooDEooooDEooFFoEooGGHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,H<1,Ev1,Cv1,A>2\n"]}} {"board": "oooAABCCCDEBFFoDEBoooDGGooHHooIIoooo", "size": 6, "moves": 6, "solution": ["A<2", "D^1", "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: oooAABCCCDEBFFoDEBoooDGGooHHooIIoooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<2,D^1,G<3,Bv1,Bv1,A>3\n"]}} {"board": "ooBBBoAAooCDEoooCDEFGGGHoFIIIHoFoJJJ", "size": 6, "moves": 8, "solution": ["A>2", "F^3", "G<1", "Dv1", "J<1", "Hv1", "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: ooBBBoAAooCDEoooCDEFGGGHoFIIIHoFoJJJ\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,F^3,G<1,Dv1,J<1,Hv1,Dv1,A>2\n"]}} {"board": "BBBoooooCoDoAACEDoooCEDooooEooooFFoo", "size": 6, "moves": 5, "solution": ["Dv2", "F<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: BBBoooooCoDoAACEDoooCEDooooEooooFFoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv2,F<2,Cv2,Cv1,A>4\n"]}} {"board": "ooBCCCooBoooAABoDEooooDEFGoHHHFGoooo", "size": 6, "moves": 5, "solution": ["Bv3", "B<2", "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: ooBCCCooBoooAABoDEooooDEFGoHHHFGoooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv3,B<2,C^2,D^2,A>4\n"]}} {"board": "BCDEEEBCDFoGBCoFoGHoAAIGHJJJIooooKKK", "size": 6, "moves": 5, "solution": ["Dv1", "D<1", "G^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: BCDEEEBCDFoGBCoFoGHoAAIGHJJJIooooKKK\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,D<1,G^1,I^2,A>2\n"]}} {"board": "oAABoooCoBoooCDDDooEEoooFooGGGFooooo", "size": 6, "moves": 5, "solution": ["E>1", "Cv2", "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: oAABoooCoBoooCDDDooEEoooFooGGGFooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE>1,Cv2,C<2,Bv1,A>3\n"]}} {"board": "BBBoCooAADCoooEDFGHoEDFGHoooIIJJooKK", "size": 6, "moves": 6, "solution": ["I<3", "Dv1", "K<2", "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: BBBoCooAADCoooEDFGHoEDFGHoooIIJJooKK\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nI<3,Dv1,K<2,Fv2,Cv2,A>3\n"]}} {"board": "ooooBooAAoBoCoooBoCDEEFFCDoooooDoooo", "size": 6, "moves": 7, "solution": ["A>1", "C^2", "D^3", "E<2", "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: ooooBooAAoBoCoooBoCDEEFFCDoooooDoooo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,C^2,D^3,E<2,F<2,Dv2,A>2\n"]}} {"board": "oooooBooCooBAACooBooCDDDoEEooooooooo", "size": 6, "moves": 7, "solution": ["E<1", "Cv2", "A>3", "C^3", "D<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: oooooBooCooBAACooBooCDDDoEEooooooooo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Cv2,A>3,C^3,D<1,Cv3,A>1\n"]}} {"board": "oBBBooCoDAAECoDooEooDFFFoGGHHHIIoJJJ", "size": 6, "moves": 5, "solution": ["B>2", "D^1", "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: oBBBooCoDAAECoDooEooDFFFoGGHHHIIoJJJ\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB>2,D^1,F<1,Ev1,A>1\n"]}} {"board": "oAAooBCooooBCDDDEECFFFGGoHHIIIoooJJJ", "size": 6, "moves": 5, "solution": ["Cv2", "C<1", "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: oAAooBCooooBCDDDEECFFFGGoHHIIIoooJJJ\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,C<1,D<1,Bv1,A>3\n"]}} {"board": "oAAoBoooooBoCoooBoCoDEEFooDooFooDGGF", "size": 6, "moves": 7, "solution": ["A<1", "C^1", "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: oAAoBoooooBoCoooBoCoDEEFooDooFooDGGF\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<1,C^1,D^3,E<3,Bv1,Bv1,A>4\n"]}} {"board": "ooooooooBBBCoAADECooFDEGooFHHGIIFooG", "size": 6, "moves": 5, "solution": ["B<2", "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: ooooooooBBBCoAADECooFDEGooFHHGIIFooG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,C^1,D^2,E^2,A>3\n"]}} {"board": "AABoCoooBDCooooDEEooFoooGoFHHHGoFIII", "size": 6, "moves": 6, "solution": ["D^1", "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: AABoCoooBDCooooDEEooFoooGoFHHHGoFIII\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E<4,Bv1,Bv1,Bv1,A>4\n"]}} {"board": "ooBoooooBCooooBCoDooooEDAAoFEDGGoFEo", "size": 6, "moves": 5, "solution": ["C^1", "D^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: ooBoooooBCooooBCoDooooEDAAoFEDGGoFEo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^1,E^2,F^2,A>4\n"]}} {"board": "oBBBoCAAooDCoEooDCFEGGGoFoooHHFoIIJJ", "size": 6, "moves": 6, "solution": ["Ev2", "F<1", "Dv1", "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: oBBBoCAAooDCoEooDCFEGGGoFoooHHFoIIJJ\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv2,F<1,Dv1,H<1,Cv2,A>4\n"]}} {"board": "oooBBBooCCCoooooooDAAoEFDGGoEFDHHoEo", "size": 6, "moves": 5, "solution": ["B<2", "C<1", "E^3", "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: oooBBBooCCCoooooooDAAoEFDGGoEFDHHoEo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,C<1,E^3,F^2,A>3\n"]}} {"board": "BooCCCBooDDDoooEooAAoEFGHoIIFGHJJoFG", "size": 6, "moves": 7, "solution": ["C<2", "D<2", "F^3", "G^3", "I<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: BooCCCBooDDDoooEooAAoEFGHoIIFGHJJoFG\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,D<2,F^3,G^3,I<1,Gv2,A>4\n"]}} {"board": "oooBooCCCBoooooDDDooEEEFoGGGHFoAAoHF", "size": 6, "moves": 5, "solution": ["D<1", "E<1", "F^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: oooBooCCCBoooooDDDooEEEFoGGGHFoAAoHF\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,E<1,F^1,H^1,A>3\n"]}} {"board": "AAoBoCooDBoCEoDBoCEooFFGEHIIIGoHooJJ", "size": 6, "moves": 6, "solution": ["F<2", "Bv1", "J<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: AAoBoCooDBoCEoDBoCEooFFGEHIIIGoHooJJ\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<2,Bv1,J<1,Gv1,Bv1,A>4\n"]}} {"board": "ooBBBooCoDDDoCAAEoooooEFGGGHIFoooHIF", "size": 6, "moves": 5, "solution": ["B<1", "Cv1", "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: ooBBBooCoDDDoCAAEoooooEFGGGHIFoooHIF\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,Cv1,C<2,E^2,A>2\n"]}} {"board": "ooooooooooBCAAooBCooDDBEooFFFEooGGGE", "size": 6, "moves": 5, "solution": ["C^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: ooooooooooBCAAooBCooDDBEooFFFEooGGGE\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,F<1,G<1,Cv2,A>4\n"]}} {"board": "oooBBBAAooCoDDEoCooFEGGGoFooHooFooHo", "size": 6, "moves": 7, "solution": ["A>2", "Ev2", "D>2", "E^3", "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: oooBBBAAooCoDDEoCooFEGGGoFooHooFooHo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,Ev2,D>2,E^3,F<2,Dv1,A>2\n"]}} {"board": "ooooBooAACBoDooCooDoEEEoDFFGHHoIIGoo", "size": 6, "moves": 5, "solution": ["D^2", "E<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: ooooBooAACBoDooCooDoEEEoDFFGHHoIIGoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,E<2,Cv2,Cv1,A>3\n"]}} {"board": "oooooBooAAoBoooooBoCCDooEoFDGGEoFDoo", "size": 6, "moves": 8, "solution": ["A<1", "C<1", "D^2", "F^2", "G<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: oooooBooAAoBoooooBoCCDooEoFDGGEoFDoo\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<1,C<1,D^2,F^2,G<3,Bv2,Bv1,A>3\n"]}} {"board": "ooooooooooBoAACoBoooCDBooooDEEoooDoo", "size": 6, "moves": 6, "solution": ["C^2", "D^2", "E<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: ooooooooooBoAACoBoooCDBooooDEEoooDoo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,D^2,E<3,Cv2,Cv2,A>4\n"]}} {"board": "oBoCoDoBoCoDEooAADEoFFGGHHooIIJJoKKK", "size": 6, "moves": 6, "solution": ["F<1", "G<1", "I<1", "K<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: oBoCoDoBoCoDEooAADEoFFGGHHooIIJJoKKK\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,G<1,I<1,K<1,Dv3,A>1\n"]}} {"board": "BBBoCooAAoCoDDDoCoooEEoooFoGHHoFoGoo", "size": 6, "moves": 5, "solution": ["E<1", "G^2", "H<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: BBBoCooAAoCoDDDoCoooEEoooFoGHHoFoGoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,G^2,H<2,Cv2,A>3\n"]}} {"board": "BBBCDooAACDoooEEooooFFFooGGHHHIIIJJJ", "size": 6, "moves": 5, "solution": ["E<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: BBBCDooAACDoooEEooooFFFooGGHHHIIIJJJ\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,F<2,Cv2,Cv2,A>3\n"]}} {"board": "oooAABoooooBoooCCBDEFFGGDEHHHoIIIoJJ", "size": 6, "moves": 5, "solution": ["E^2", "F<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: oooAABoooooBoooCCBDEFFGGDEHHHoIIIoJJ\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^2,F<1,G<1,Bv1,A>1\n"]}} {"board": "ooooooooBoooooBCCCooBDoEoooDoEooAAoE", "size": 6, "moves": 5, "solution": ["A>1", "Bv2", "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: ooooooooBoooooBCCCooBDoEoooDoEooAAoE\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,Bv2,B<1,E^1,A>1\n"]}} {"board": "oooBBBCDEFFFCDEGooAAEGoHoIIooHJJJKKH", "size": 6, "moves": 11, "solution": ["E^1", "H^1", "I<1", "K>1", "Gv2", "A>3", "Bv2", "B<1", "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: oooBBBCDEFFFCDEGooAAEGoHoIIooHJJJKKH\nOptimal length (moves): 11\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,H^1,I<1,K>1,Gv2,A>3,Bv2,B<1,E<1,G^2,A>1\n"]}} {"board": "oAAoBoCoDDBoCoEoFooGEoFooGEoHHoGoIII", "size": 6, "moves": 7, "solution": ["Cv1", "C<2", "E^1", "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: oAAoBoCoDDBoCoEoFooGEoFooGEoHHoGoIII\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,C<2,E^1,H<2,Fv1,Bv1,A>3\n"]}} {"board": "AAooBCoDEEBCoDFooCoDFGHIJJJGHIoooGKK", "size": 6, "moves": 6, "solution": ["Bv1", "G^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: AAooBCoDEEBCoDFooCoDFGHIJJJGHIoooGKK\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,G^1,K<1,Iv1,Bv1,A>4\n"]}} {"board": "oooBoooooBooAAoBooCoDDDoCoooEECooooo", "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: oooBoooooBooAAoBooCoDDDoCoooEECooooo\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": "AAooBoooCCBDEEFoBDGGFHHIoJJJoIooKKKI", "size": 6, "moves": 5, "solution": ["C<2", "F^1", "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: AAooBoooCCBDEEFoBDGGFHHIoJJJoIooKKKI\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,F^1,H<1,Bv1,A>4\n"]}} {"board": "ooooBoooooBoooAABCoooooCoDoEECoDoFFo", "size": 6, "moves": 5, "solution": ["Cv1", "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: ooooBoooooBoooAABCoooooCoDoEECoDoFFo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,E<1,F<1,Bv3,A>2\n"]}} {"board": "oAABCoDooBCoDooEEEDoFGGGoHFIJooHFIJo", "size": 6, "moves": 5, "solution": ["Dv2", "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: oAABCoDooBCoDooEEEDoFGGGoHFIJooHFIJo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv2,D<3,Bv1,Bv1,A>3\n"]}} {"board": "oooooooooBBBoCCCooDDDoEoooFoEoAAFoEo", "size": 6, "moves": 5, "solution": ["B<2", "E^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: oooooooooBBBoCCCooDDDoEoooFoEoAAFoEo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,E^3,E>3,F^1,A>4\n"]}} {"board": "ooAAoBoCCDoBoooDEEFGHIIIFGHJJoFGHoKK", "size": 6, "moves": 6, "solution": ["A<1", "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: ooAAoBoCCDoBoooDEEFGHIIIFGHJJoFGHoKK\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<1,D^1,E<3,Bv1,Bv1,A>3\n"]}} {"board": "oBBBCDooooCDAAoooDoEEEFFGooHHHGooIIo", "size": 6, "moves": 5, "solution": ["E<1", "F<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: oBBBCDooooCDAAoooDoEEEFFGooHHHGooIIo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,F<1,H<1,Dv3,A>4\n"]}} {"board": "ooooBoooooBCoAAoBCoooDDDooEFFFooEooo", "size": 6, "moves": 7, "solution": ["C^1", "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: ooooBoooooBCoAAoBCoooDDDooEFFFooEooo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A<1,E^4,E<2,F<2,Cv3,A>4\n"]}} {"board": "BooCooBAACDoBoEoDoooEoFFGoHHHoGooIIo", "size": 6, "moves": 6, "solution": ["H>1", "Ev2", "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: BooCooBAACDoBoEoDoooEoFFGoHHHoGooIIo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nH>1,Ev2,E<3,Cv2,Cv1,A>3\n"]}} {"board": "oAABoCDDEBoCFoEGGoFHHHoIFJoKKIoJLLLI", "size": 6, "moves": 8, "solution": ["A<1", "Cv1", "D^1", "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: oAABoCDDEBoCFoEGGoFHHHoIFJoKKIoJLLLI\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<1,Cv1,D^1,Fv1,F<3,Bv1,Bv1,A>4\n"]}} {"board": "oooooBoAAooBoCoooBoCDDEEFGGHHHFoooII", "size": 6, "moves": 9, "solution": ["A>1", "C^1", "D<1", "E<1", "F^2", "G<1", "H<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: oooooBoAAooBoCoooBoCDDEEFGGHHHFoooII\nOptimal length (moves): 9\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,C^1,D<1,E<1,F^2,G<1,H<1,Bv2,A>2\n"]}} {"board": "BooCCCBoooooBoDEEEFGDooHFGooIHoAAoIH", "size": 6, "moves": 5, "solution": ["D^2", "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: BooCCCBoooooBoDEEEFGDooHFGooIHoAAoIH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,E<1,H^1,I^1,A>3\n"]}} {"board": "BBBoooAAooCooDDDCoEooFGGEHHFooEooFoo", "size": 6, "moves": 6, "solution": ["D<1", "F^3", "G<3", "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: BBBoooAAooCooDDDCoEooFGGEHHFooEooFoo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,F^3,G<3,Cv2,Cv1,A>4\n"]}} {"board": "ooooBoAAooBoooCDDDEoCoFFEGoHHHEGoIII", "size": 6, "moves": 5, "solution": ["Cv2", "C<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: ooooBoAAooBoooCDDDEoCoFFEGoHHHEGoIII\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,C<2,E<2,Bv2,A>4\n"]}} {"board": "AAoBCoDooBCoDooBEEDoFoooGHFIIoGHoooo", "size": 6, "moves": 5, "solution": ["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: AAoBCoDooBCoDooBEEDoFoooGHFIIoGHoooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nI>1,Bv3,D<2,Bv1,A>4\n"]}} {"board": "BooooCBoDooCBoDAACooDEEEoFoooooFooGG", "size": 6, "moves": 5, "solution": ["D^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: BooooCBoDooCBoDAACooDEEEoFoooooFooGG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E<1,G<1,Dv3,A>1\n"]}} {"board": "oBCCCoDBoAAEDBFoGEDoFoGEooHIIIJJHKKK", "size": 6, "moves": 6, "solution": ["C>1", "F^2", "H^2", "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: oBCCCoDBoAAEDBFoGEDoFoGEooHIIIJJHKKK\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nC>1,F^2,H^2,I<1,Fv1,A>1\n"]}} {"board": "BCCCooBooDDDooEEEFoGGGHFoAAIHoJJoIKK", "size": 6, "moves": 5, "solution": ["E<2", "G<1", "H^1", "I^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: BCCCooBooDDDooEEEFoGGGHFoAAIHoJJoIKK\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<2,G<1,H^1,I^2,A>3\n"]}} {"board": "BAAoCoBoDoCoBoDEEEooDFFFGGooHooIIoHo", "size": 6, "moves": 5, "solution": ["I<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: BAAoCoBoDoCoBoDEEEooDFFFGGooHooIIoHo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nI<1,Dv2,D<2,Cv1,A>3\n"]}} {"board": "ooBBBooCoooooCoDDDooooEFGoAAEFGoooEo", "size": 6, "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 (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBBBooCoooooCoDDDooooEFGoAAEFGoooEo\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": "ooooooooooBCoDDDBCoAAEBCoooEooFFFEoo", "size": 6, "moves": 5, "solution": ["B^1", "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: ooooooooooBCoDDDBCoAAEBCoooEooFFFEoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,C^1,D<1,E^3,A>3\n"]}} {"board": "oooooBoCAAoBoCoooBDoEFFFDoEoooooEooo", "size": 6, "moves": 5, "solution": ["A>1", "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: oooooBoCAAoBoCoooBDoEFFFDoEoooooEooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,E^3,F<1,Cv2,A>1\n"]}} {"board": "oBAACooBoDCooBEDFFGHEoooGHooIoJJJoIo", "size": 6, "moves": 5, "solution": ["Dv2", "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: oBAACooBoDCooBEDFFGHEoooGHooIoJJJoIo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv2,Dv1,D<2,Cv1,A>2\n"]}} {"board": "BCAAoDBCEooDoCEFFFGGHHIoJoKKIoJLLoIo", "size": 6, "moves": 5, "solution": ["A>1", "E^1", "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: BCAAoDBCEooDoCEFFFGGHHIoJoKKIoJLLoIo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,E^1,F<1,Ev1,A>1\n"]}} {"board": "BoooooBoooooBooCCCooooooAAoDoooooDoo", "size": 6, "moves": 5, "solution": ["A>1", "Bv3", "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: BoooooBoooooBooCCCooooooAAoDoooooDoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,Bv3,B<3,D^2,A>3\n"]}} {"board": "oooBoooAABooCCoBooooDDDoEFFFGGEHHooo", "size": 6, "moves": 6, "solution": ["C>1", "E^3", "E<2", "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: oooBoooAABooCCoBooooDDDoEFFFGGEHHooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nC>1,E^3,E<2,F<1,Bv2,A>3\n"]}} {"board": "ooooBoooooBooAAoBooCoooooCooDDoCoEEE", "size": 6, "moves": 6, "solution": ["A>1", "C^1", "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: ooooBoooooBooAAoBooCoooooCooDDoCoEEE\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,C^1,D<2,E<2,Bv3,A>2\n"]}} {"board": "oBoooooBCDDDEoCFooEAAFoGooHHHGoIIJJG", "size": 6, "moves": 9, "solution": ["G^1", "H<2", "J>1", "Fv2", "A>2", "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: oBoooooBCDDDEoCFooEAAFoGooHHHGoIIJJG\nOptimal length (moves): 9\nReturn only the and blocks.", "\nShortest path found.\n\n\nG^1,H<2,J>1,Fv2,A>2,Cv1,C<1,F^2,A>1\n"]}} {"board": "AAoBCooooBCooDDDEooFFoEGooHHHGooIIIG", "size": 6, "moves": 6, "solution": ["D<1", "Bv1", "H<1", "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: AAoBCooooBCooDDDEooFFoEGooHHHGooIIIG\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv1,H<1,Ev1,Bv1,A>4\n"]}} {"board": "oooBBBCDooooCDoEEEAAooFGHHooFGooIIFG", "size": 6, "moves": 8, "solution": ["B<2", "A>2", "H>2", "Dv2", "D<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: oooBBBCDooooCDoEEEAAooFGHHooFGooIIFG\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,A>2,H>2,Dv2,D<2,F^3,G^3,A>2\n"]}} {"board": "ooBCCCDoBoEFDAAoEFDGHHEoIGoJJJIGKKKo", "size": 6, "moves": 7, "solution": ["A>1", "G^2", "J<2", "Gv2", "K<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: ooBCCCDoBoEFDAAoEFDGHHEoIGoJJJIGKKKo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,G^2,J<2,Gv2,K<1,Fv2,A>2\n"]}} {"board": "ooBoooooBoooooBCCCoooooDAAoEoDoooEoD", "size": 6, "moves": 10, "solution": ["Bv3", "B<3", "E^4", "C>3", "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: ooBoooooBoooooBCCCoooooDAAoEoDoooEoD\nOptimal length (moves): 10\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv3,B<3,E^4,C>3,D^2,A>3,Cv2,C<1,E^2,A>1\n"]}} {"board": "oooooBooooCBooAACBooooCoDDoEEooooFFF", "size": 6, "moves": 5, "solution": ["E<1", "F<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: oooooBooooCBooAACBooooCoDDoEEooooFFF\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,F<2,Bv3,Bv2,A>2\n"]}} {"board": "oBCCCDoBoAADEBFGGGEHFIIIoHooJJoKKKoo", "size": 6, "moves": 6, "solution": ["K>2", "Fv2", "F<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: oBCCCDoBoAADEBFGGGEHFIIIoHooJJoKKKoo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nK>2,Fv2,F<1,H<1,Dv2,A>1\n"]}} {"board": "BBBCooAAoCooDoEEEoDooFFFoGooHooGIIHo", "size": 6, "moves": 5, "solution": ["Dv2", "D<2", "E<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: BBBCooAAoCooDoEEEoDooFFFoGooHooGIIHo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv2,D<2,E<3,Cv2,A>4\n"]}} {"board": "oooAABCDEEEBCDoFFBCoGooHIIGooHooGJJJ", "size": 6, "moves": 5, "solution": ["G^1", "J<1", "Hv1", "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: oooAABCDEEEBCDoFFBCoGooHIIGooHooGJJJ\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nG^1,J<1,Hv1,Bv1,A>1\n"]}} {"board": "oAABoCooDBoCEoDooCEoDFFFGGHHIIJJJKKK", "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: oAABoCooDBoCEoDooCEoDFFFGGHHIIJJJKKK\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": "oBoCCCDBoEEEDBoFFFDoGAAHooGIJHKKKIJH", "size": 6, "moves": 5, "solution": ["C<1", "E<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: oBoCCCDBoEEEDBoFFFDoGAAHooGIJHKKKIJH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,E<1,F<1,H^3,A>1\n"]}} {"board": "oooBBBAAoooCooDooCooDooCooDEEEoooFFo", "size": 6, "moves": 5, "solution": ["A>3", "D^1", "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: oooBBBAAoooCooDooCooDooCooDEEEoooFFo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>3,D^1,E<1,Dv1,A>1\n"]}} {"board": "BBBoCooAAoCooooDDDooEEFFooGoHHIIGJJJ", "size": 6, "moves": 5, "solution": ["D<2", "E<2", "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: BBBoCooAAoCooooDDDooEEFFooGoHHIIGJJJ\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<2,E<2,F<2,Cv2,A>3\n"]}} {"board": "BooCCCBoAAoDoEoooDoEFGGGooFHHHooFooo", "size": 6, "moves": 5, "solution": ["A>1", "F^3", "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: BooCCCBoAAoDoEoooDoEFGGGooFHHHooFooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,F^3,G<1,Ev1,A>1\n"]}} {"board": "oooBoooooBCDoAABCDEEoooDooooFFooooGG", "size": 6, "moves": 6, "solution": ["C^1", "F<3", "G<3", "Bv3", "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: oooBoooooBCDoAABCDEEoooDooooFFooooGG\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,F<3,G<3,Bv3,Cv2,A>3\n"]}} {"board": "oBAACDoBEoCDFFEoGGHooIIIHJJJooHooooo", "size": 6, "moves": 6, "solution": ["J>2", "Ev2", "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: oBAACDoBEoCDFFEoGGHooIIIHJJJooHooooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nJ>2,Ev2,F<2,Cv1,Cv1,A>2\n"]}} {"board": "oooBBBooCDDDooCEoFooCEoFooAAoFoGGGoo", "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: oooBBBooCDDDooCEoFooCEoFooAAoFoGGGoo\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": "BooCCCBoDDDoBEEEFGoHHHFGAAIoooooIoJJ", "size": 6, "moves": 8, "solution": ["C<2", "D<1", "F^2", "G^2", "G>2", "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: BooCCCBoDDDoBEEEFGoHHHFGAAIoooooIoJJ\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,D<1,F^2,G^2,G>2,H>2,I^2,A>4\n"]}} {"board": "oooooooAAoBoooooBoCDDEFFCooEooCooEoo", "size": 6, "moves": 8, "solution": ["C^3", "D<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: oooooooAAoBoooooBoCDDEFFCooEooCooEoo\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^3,D<1,E^3,F<2,Dv3,E>2,Cv2,A>3\n"]}} {"board": "ooooBoooAABoooCoooooCoDDEoCoooEooFFF", "size": 6, "moves": 6, "solution": ["A<2", "C^2", "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: ooooBoooAABoooCoooooCoDDEoCoooEooFFF\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<2,C^2,D<4,Bv2,Bv2,A>4\n"]}} {"board": "oooBBBAACoooooCoDoEoFFDoEooGDoEooGoo", "size": 6, "moves": 7, "solution": ["B<2", "D^2", "F>1", "Dv3", "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: oooBBBAACoooooCoDoEoFFDoEooGDoEooGoo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,D^2,F>1,Dv3,E<1,Cv2,A>4\n"]}} {"board": "oooooBoooooBooCCCBoAADEFGooDEFGooDEo", "size": 6, "moves": 5, "solution": ["C<2", "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: oooooBoooooBooCCCBoAADEFGooDEFGooDEo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,D^3,E^3,Fv1,A>3\n"]}} {"board": "oBoCCCoBooDooBooDoAAooDEoFGooEoFGooE", "size": 6, "moves": 6, "solution": ["A>2", "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: oBoCCCoBooDooBooDoAAooDEoFGooEoFGooE\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,Bv1,B<2,D^1,E^3,A>2\n"]}} {"board": "oooooBCoAAoBCooooBCDEFFFoDEoGGoDEoHH", "size": 6, "moves": 6, "solution": ["A>1", "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: oooooBCoAAoBCooooBCDEFFFoDEoGGoDEoHH\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,E^3,F<1,G<1,Cv2,A>1\n"]}} {"board": "oBBBCDEoAACDEFoooooFoGGGHHHoIIooJJoo", "size": 6, "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 (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBCDEoAACDEFoooooFoGGGHHHoIIooJJoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,G<2,Cv2,Cv2,A>2\n"]}} {"board": "ooooBoooooBoAAoCBoDDDCoooEFFFooEoGGo", "size": 6, "moves": 9, "solution": ["C^2", "A>2", "D>2", "E^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: ooooBoooooBoAAoCBoDDDCoooEFFFooEoGGo\nOptimal length (moves): 9\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>2,D>2,E^3,E<1,F<1,G<1,Cv3,A>2\n"]}} {"board": "oooooBoAACoBDDoCoBoooCEEFFFoooGGGoHH", "size": 6, "moves": 5, "solution": ["C^1", "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: oooooBoAACoBDDoCoBoooCEEFFFoooGGGoHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,E<3,Bv2,Bv2,A>3\n"]}} {"board": "BCCCDoBoEoDoFoEGooFAAGoHoIoGoHoIoJJH", "size": 6, "moves": 6, "solution": ["Fv1", "Bv1", "B<1", "F^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: BCCCDoBoEoDoFoEGooFAAGoHoIoGoHoIoJJH\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nFv1,Bv1,B<1,F^2,H^3,A>3\n"]}} {"board": "oooBBBoooooCAADEoCFoDEooFoDoooooGGHH", "size": 6, "moves": 5, "solution": ["Cv2", "Dv1", "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: oooBBBoooooCAADEoCFoDEooFoDoooooGGHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,Dv1,G<2,Cv1,A>4\n"]}} {"board": "AAoBoooCoBoooCoBooDoEEEoDooFFFDooooo", "size": 6, "moves": 5, "solution": ["A>1", "D^3", "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: AAoBoooCoBoooCoBooDoEEEoDooFFFDooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,D^3,E<2,Cv1,A>3\n"]}} {"board": "oooBBBooCoDoAACoDoooooEEooFFFooooGGG", "size": 6, "moves": 5, "solution": ["B<2", "D^1", "F>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: oooBBBooCoDoAACoDoooooEEooFFFooooGGG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,D^1,F>1,Dv2,A>4\n"]}} {"board": "AAoBooCCDBooEoDBFFEooGGGEHoIIIoHJJJo", "size": 6, "moves": 8, "solution": ["A>1", "J>1", "Dv3", "C>1", "D^2", "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: AAoBooCCDBooEoDBFFEooGGGEHoIIIoHJJJo\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,J>1,Dv3,C>1,D^2,F<3,Cv1,A>3\n"]}} {"board": "ooBBBooooCDEFFFCDEoooGHoIIIGHooAAGHo", "size": 6, "moves": 6, "solution": ["B<2", "C^1", "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: ooBBBooooCDEFFFCDEoooGHoIIIGHooAAGHo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,C^1,D^1,G^1,H^1,A>3\n"]}} {"board": "ooooBoAAooBoooCCBoooooDDoooEFFoooEoo", "size": 6, "moves": 6, "solution": ["C<1", "D<3", "E^2", "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: ooooBoAAooBoooCCBoooooDDoooEFFoooEoo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,D<3,E^2,F<2,Bv2,A>4\n"]}} {"board": "BBBooCoAAoDCoooEDoFGoEDHFGoooHFGIIJJ", "size": 6, "moves": 7, "solution": ["Dv1", "G^1", "I<1", "J<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: BBBooCoAAoDCoooEDoFGoEDHFGoooHFGIIJJ\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,G^1,I<1,J<1,Hv1,Cv2,A>3\n"]}} {"board": "ooBoCDAABoCDooBooDEEEooooFFooooGGooo", "size": 6, "moves": 9, "solution": ["Cv4", "D>3", "E<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: ooBoCDAABoCDooBooDEEEooooFFooooGGooo\nOptimal length (moves): 9\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv4,D>3,E<1,Bv2,A>3,C^2,D<1,Cv2,A>1\n"]}} {"board": "oooBoCoooBoCAADooCooDEEEoooFFFoooooo", "size": 6, "moves": 5, "solution": ["D^2", "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: oooBoCoooBoCAADooCooDEEEoooFFFoooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,E<1,F<1,Dv3,A>4\n"]}} {"board": "ooBoooooBooooCCCoDooEooDooEFooAAEFoo", "size": 6, "moves": 5, "solution": ["D^2", "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: ooBoooooBooooCCCoDooEooDooEFooAAEFoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,D>2,E^1,F^1,A>4\n"]}} {"board": "oooBCooooBCoAADoCoooDEEoFoDooGFooooG", "size": 6, "moves": 5, "solution": ["D^2", "E<3", "Bv3", "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: oooBCooooBCoAADoCoooDEEoFoDooGFooooG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,E<3,Bv3,Cv3,A>4\n"]}} {"board": "oooBoooAABCoooooCoooooCooDoEEEoDoFFF", "size": 6, "moves": 5, "solution": ["Bv2", "D^2", "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: oooBoooAABCoooooCoooooCooDoEEEoDoFFF\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,D^2,E<2,Bv1,A>3\n"]}} {"board": "ooBCCCooBoDoAABoDoEEooFFoGGHHooIIJJo", "size": 6, "moves": 6, "solution": ["G<1", "I<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: ooBCCCooBoDoAABoDoEEooFFoGGHHooIIJJo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,I<1,Bv3,B<2,C^1,A>4\n"]}} {"board": "oooBoooAABCDoooECDoooEooFoooooFGGGoo", "size": 6, "moves": 7, "solution": ["Cv1", "Cv1", "F^1", "G<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: oooBoooAABCDoooECDoooEooFoooooFGGGoo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Cv1,F^1,G<1,Cv2,Bv2,A>3\n"]}} {"board": "ooBBBoooAAoCoooDoCEFoDGGEFoDooEFHHHo", "size": 6, "moves": 8, "solution": ["B<2", "A<1", "D^2", "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: ooBBBoooAAoCoooDoCEFoDGGEFoDooEFHHHo\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,A<1,D^2,G<1,Dv3,F>1,Cv2,A>3\n"]}} {"board": "AAoBCoDEoBCoDEFGGoDHFooooHoIoooHoIJJ", "size": 6, "moves": 6, "solution": ["Fv1", "F<1", "Cv3", "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: AAoBCoDEoBCoDEFGGoDHFooooHoIoooHoIJJ\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nFv1,F<1,Cv3,E>2,Bv1,A>4\n"]}} {"board": "oBBBoCooDooCAADoECFGooEoFGHHEooGoIII", "size": 6, "moves": 9, "solution": ["Cv1", "B>2", "C^1", "A>2", "G^1", "I<2", "Dv2", "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: oBBBoCooDooCAADoECFGooEoFGHHEooGoIII\nOptimal length (moves): 9\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,B>2,C^1,A>2,G^1,I<2,Dv2,Ev1,A>2\n"]}} {"board": "oBCCCooBooDooBooDoEoAADFEooooFoooooF", "size": 6, "moves": 5, "solution": ["Bv1", "B<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: oBCCCooBooDooBooDoEoAADFEooooFoooooF\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,B<1,D^1,F^3,A>2\n"]}} {"board": "oAABCDoooBCDoEEooDoFoGGGoFoHoooFoHoo", "size": 6, "moves": 5, "solution": ["Bv1", "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: oAABCDoooBCDoEEooDoFoGGGoFoHoooFoHoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,G<1,Bv1,A>3\n"]}} {"board": "oBBBooCDDDEFCooGEFCAAGHooIoGHJoIKKoJ", "size": 6, "moves": 6, "solution": ["B<1", "Cv1", "C<1", "G^2", "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: oBBBooCDDDEFCooGEFCAAGHooIoGHJoIKKoJ\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,Cv1,C<1,G^2,Hv1,A>3\n"]}} {"board": "ooBCCCooBoooooBoooAAoooDoooooDoooooD", "size": 6, "moves": 5, "solution": ["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: ooBCCCooBoooooBoooAAoooDoooooDoooooD\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>3,Bv1,B<1,D^3,A>1\n"]}} {"board": "oBCAADoBCEEDoBCFFFGHHHooGIoJJJGIooKK", "size": 6, "moves": 5, "solution": ["H>2", "Cv3", "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: oBCAADoBCEEDoBCFFFGHHHooGIoJJJGIooKK\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nH>2,Cv3,E<1,Cv1,A>1\n"]}} {"board": "BBBCCCooDDDEoAAooEoFGHHHIFGoJJIooKKK", "size": 6, "moves": 5, "solution": ["Gv1", "G<1", "J<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: BBBCCCooDDDEoAAooEoFGHHHIFGoJJIooKKK\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nGv1,G<1,J<1,Ev2,A>3\n"]}} {"board": "AAoBooCooBooCDDBEECooFFFoGHHHooGoIII", "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: AAoBooCooBooCDDBEECooFFFoGHHHooGoIII\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": "oAAooBoCCooBDEEFFFDGHIoooGHIJJoGHIKK", "size": 6, "moves": 5, "solution": ["D^2", "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: oAAooBoCCooBDEEFFFDGHIoooGHIJJoGHIKK\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,E<1,F<1,Cv1,A>3\n"]}} {"board": "oooooBoooooBoAAooBCoDEEoCoDFFoCoDGGG", "size": 6, "moves": 5, "solution": ["A>2", "D^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: oooooBoooooBoAAooBCoDEEoCoDFFoCoDGGG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,D^1,G<1,Bv3,A>1\n"]}} {"board": "ooooooooBoooooBCCCoooDoEAAoDoEoooFFE", "size": 6, "moves": 5, "solution": ["B^1", "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: ooooooooBoooooBCCCoooDoEAAoDoEoooFFE\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,C<3,D^1,E^2,A>4\n"]}} {"board": "oooooBoAAoCBooooCooDooCooDEFFooDEooo", "size": 6, "moves": 5, "solution": ["Bv2", "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: oooooBoAAoCBooooCooDooCooDEFFooDEooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,E^2,F<1,Bv1,A>3\n"]}} {"board": "AAooBCDoooBCDoEoBCoFEGGGoFoooooFoHHo", "size": 6, "moves": 7, "solution": ["A>2", "E^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: AAooBCDoooBCDoEoBCoFEGGGoFoooooFoHHo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,E^1,F^3,G<2,Cv1,Cv1,A>2\n"]}} {"board": "oooBBBoooCCCooDoEFooDGEFAAoGEFoooHHo", "size": 6, "moves": 5, "solution": ["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: oooBBBoooCCCooDoEFooDGEFAAoGEFoooHHo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,E^1,F^1,G^1,A>4\n"]}} {"board": "oooBBBCCCDDDEoFFFoEooooooAAGoHoooGoH", "size": 6, "moves": 5, "solution": ["Ev1", "E<2", "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: oooBBBCCCDDDEoFFFoEooooooAAGoHoooGoH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,E<2,G^2,H^2,A>3\n"]}} {"board": "ooooBoCCCoBDEAAoBDEoFFooooGGHHooIIoo", "size": 6, "moves": 5, "solution": ["D^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: ooooBoCCCoBDEAAoBDEoFFooooGGHHooIIoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,G<2,H<2,Bv3,A>3\n"]}} {"board": "ooooooooBCCCDoBoEoDFAAEoDFooGoooooGo", "size": 6, "moves": 7, "solution": ["D^2", "Fv1", "A<2", "Cv3", "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: ooooooooBCCCDoBoEoDFAAEoDFooGoooooGo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,Fv1,A<2,Cv3,C<2,D^1,A>4\n"]}} {"board": "oooBBBooCCCoooooooDoEFFFDoEooGDoAAoG", "size": 6, "moves": 5, "solution": ["C>1", "E^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: oooBBBooCCCoooooooDoEFFFDoEooGDoAAoG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC>1,E^2,F<1,G^1,A>2\n"]}} {"board": "oooBBBCoDDDECAAFoECooFGGoooFoooooHHH", "size": 6, "moves": 5, "solution": ["B<1", "E^1", "H<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: oooBBBCoDDDECAAFoECooFGGoooFoooooHHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,E^1,H<3,Fv1,A>3\n"]}} {"board": "ooBBBooooCoDoooCoDAAoCEFoooGEFoHHGoo", "size": 6, "moves": 5, "solution": ["B<2", "C^1", "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: ooBBBooooCoDoooCoDAAoCEFoooGEFoHHGoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,C^1,E^2,Fv1,A>4\n"]}} {"board": "oBCooDoBCAADoEEoFGHoooFGHooIIIHJJoKK", "size": 6, "moves": 5, "solution": ["I<1", "K<1", "Gv2", "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: oBCooDoBCAADoEEoFGHoooFGHooIIIHJJoKK\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nI<1,K<1,Gv2,Dv2,A>1\n"]}} {"board": "ooBooooCBDDDoCBoEoAAooEooFGGGooFHHoo", "size": 6, "moves": 6, "solution": ["C^1", "A>2", "F^2", "G<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: ooBooooCBDDDoCBoEoAAooEooFGGGooFHHoo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>2,F^2,G<1,Fv2,A>2\n"]}} {"board": "AABCDoooBCDooooCDEFGGGoEFHIIIoFHoooo", "size": 6, "moves": 7, "solution": ["Bv1", "A>1", "Cv1", "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: AABCDoooBCDooooCDEFGGGoEFHIIIoFHoooo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>1,Cv1,F^3,G<1,Cv1,A>3\n"]}} {"board": "oooBoooooBCooAABCoDoooCoDooEEEoooooo", "size": 6, "moves": 5, "solution": ["D^1", "E<3", "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: oooBoooooBCooAABCoDoooCoDooEEEoooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E<3,Bv3,Bv2,A>3\n"]}} {"board": "ooAABoooCoBoDDCoBoooCEEooFGHoooFGHoo", "size": 6, "moves": 6, "solution": ["A<2", "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: ooAABoooCoBoDDCoBoooCEEooFGHoooFGHoo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<2,C^1,E<3,Bv1,Bv1,A>4\n"]}} {"board": "AAooBooCooBooCDDDEoCFooEGGFoooooFooo", "size": 6, "moves": 9, "solution": ["Ev1", "D>1", "E^2", "G>3", "Cv2", "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: AAooBooCooBooCDDDEoCFooEGGFoooooFooo\nOptimal length (moves): 9\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,D>1,E^2,G>3,Cv2,Cv2,C<2,Bv1,A>4\n"]}} {"board": "BoAACoBoooCooDDDEFoGooEFHGIoEFHGIJJo", "size": 6, "moves": 5, "solution": ["I^1", "J<1", "Ev1", "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: BoAACoBoooCooDDDEFoGooEFHGIoEFHGIJJo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nI^1,J<1,Ev1,Cv1,A>2\n"]}} {"board": "BBBoCoAAoDCooooDCoEEooFFooGGGooooooo", "size": 6, "moves": 5, "solution": ["G<2", "Dv3", "E<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: BBBoCoAAoDCooooDCoEEooFFooGGGooooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<2,Dv3,E<2,Cv2,A>4\n"]}} {"board": "oBoCCCoBAAoDEooooDEoFFoDGHIJJJGHIoKK", "size": 6, "moves": 5, "solution": ["F>1", "I^2", "J<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: oBoCCCoBAAoDEooooDEoFFoDGHIJJJGHIoKK\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nF>1,I^2,J<1,Dv1,A>2\n"]}} {"board": "BBBooCAADoECoFDGEHIFoGoHIoJJKKIooLLo", "size": 6, "moves": 7, "solution": ["Dv1", "Dv1", "J<1", "K<1", "Hv2", "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: BBBooCAADoECoFDGEHIFoGoHIoJJKKIooLLo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,Dv1,J<1,K<1,Hv2,Cv2,A>4\n"]}} {"board": "AABoooooBoCoooBoCDEEEFoDGGoFoDoooooo", "size": 6, "moves": 9, "solution": ["D^2", "F^2", "F>3", "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: AABoooooBoCoooBoCDEEEFoDGGoFoDoooooo\nOptimal length (moves): 9\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,F^2,F>3,Bv1,A>3,C^1,F<1,Cv1,A>1\n"]}} {"board": "oAAoBoCCoDBoEFFDBoEooDGGoooooooooooo", "size": 6, "moves": 5, "solution": ["D^1", "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: oAAoBoCCoDBoEFFDBoEooDGGoooooooooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,G<3,Bv1,Bv1,A>3\n"]}} {"board": "ooBBBooooCoDoAACEDFoGoEDFoGoHHoIIIJJ", "size": 6, "moves": 8, "solution": ["B<2", "C^1", "E^2", "H<1", "I<1", "J<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: ooBBBooooCoDoAACEDFoGoEDFoGoHHoIIIJJ\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,C^1,E^2,H<1,I<1,J<1,Ev2,A>3\n"]}} {"board": "BAACDoBoECDoBoECDooFGGGooFooHHIIoJJo", "size": 6, "moves": 5, "solution": ["F^2", "G<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: BAACDoBoECDoBoECDooFGGGooFooHHIIoJJo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^2,G<2,Cv1,Cv1,A>3\n"]}} {"board": "oooooBAACoDBEECoDBoFCGHoIFoGHoIFoGoo", "size": 6, "moves": 5, "solution": ["Bv2", "Bv1", "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: oooooBAACoDBEECoDBoFCGHoIFoGHoIFoGoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,Bv1,Hv1,Bv1,A>4\n"]}} {"board": "BooooCBDDDoCBAAooCoooEEEFFGGoooHHIII", "size": 6, "moves": 5, "solution": ["E<1", "H<1", "I<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: BooooCBDDDoCBAAooCoooEEEFFGGoooHHIII\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,H<1,I<1,Cv3,A>3\n"]}} {"board": "oBBBoooooCoDAAECoDooEoFFooEGGooooooo", "size": 6, "moves": 5, "solution": ["B<1", "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: oBBBoooooCoDAAECoDooEoFFooEGGooooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,C^1,D^1,Ev1,A>4\n"]}} {"board": "BBBooCoooAACoDDDEEFGHoIIFGHoJJFGKKLL", "size": 6, "moves": 5, "solution": ["D<1", "E<1", "I<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: BBBooCoooAACoDDDEEFGHoIIFGHoJJFGKKLL\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,E<1,I<1,Cv2,A>1\n"]}} {"board": "ooAABoCoDoBoCEDFGGHEDFIIHooJJoHKKoLL", "size": 6, "moves": 9, "solution": ["C^1", "H^1", "J>1", "Gv1", "K<1", "Dv2", "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: ooAABoCoDoBoCEDFGGHEDFIIHooJJoHKKoLL\nOptimal length (moves): 9\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,H^1,J>1,Gv1,K<1,Dv2,F<2,Cv1,A>2\n"]}} {"board": "ooooooBCDDDoBCoAAEBCFFFEGooHoEGIIHJJ", "size": 6, "moves": 7, "solution": ["B^1", "C^1", "F<2", "H^1", "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: ooooooBCDDDoBCoAAEBCFFFEGooHoEGIIHJJ\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,C^1,F<2,H^1,J<1,Ev1,A>1\n"]}} {"board": "oBooCooBooCDoAAoCDooEFooooEFGGoHHFoo", "size": 6, "moves": 8, "solution": ["D^1", "A<1", "E^3", "F^2", "G<3", "Dv3", "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: oBooCooBooCDoAAoCDooEFooooEFGGoHHFoo\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A<1,E^3,F^2,G<3,Dv3,Ev2,A>4\n"]}} {"board": "ooooBooAAoBooooooCDEFFFCDEGGHHoEoIIo", "size": 6, "moves": 5, "solution": ["A>1", "E^3", "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: ooooBooAAoBooooooCDEFFFCDEGGHHoEoIIo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,E^3,F<1,Cv2,A>2\n"]}} {"board": "ooBCCCooBDDDAAoEooFGoEHHFGIIIoFGooJJ", "size": 6, "moves": 6, "solution": ["I>1", "Bv3", "B<3", "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: ooBCCCooBDDDAAoEooFGoEHHFGIIIoFGooJJ\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nI>1,Bv3,B<3,C<3,D^2,A>4\n"]}} {"board": "oAAoBoCDDDBoCEEoBoCoFFGGHHoooooIIJJJ", "size": 6, "moves": 5, "solution": ["C^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: oAAoBoCDDDBoCEEoBoCoFFGGHHoooooIIJJJ\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,F<2,G<2,Cv1,A>3\n"]}} {"board": "ooBBBoooooCoooooCoDDDoEooFFFEGAAooEG", "size": 6, "moves": 5, "solution": ["B<1", "C^1", "E^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: ooBBBoooooCoooooCoDDDoEooFFFEGAAooEG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,C^1,E^1,G^1,A>4\n"]}} {"board": "oBCCCooBoDDDoooEoFoAAEGFooHHGFooooGo", "size": 6, "moves": 9, "solution": ["H<1", "Ev2", "A>1", "Bv2", "B<1", "C<2", "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: oBCCCooBoDDDoooEoFoAAEGFooHHGFooooGo\nOptimal length (moves): 9\nReturn only the and blocks.", "\nShortest path found.\n\n\nH<1,Ev2,A>1,Bv2,B<1,C<2,E^2,F^3,A>2\n"]}} {"board": "oooBBBooCoooooCDDDooCEooAAoEoooFFooo", "size": 6, "moves": 8, "solution": ["B<3", "F<1", "Cv2", "C<3", "E^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: oooBBBooCoooooCDDDooCEooAAoEoooFFooo\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<3,F<1,Cv2,C<3,E^3,D>3,E^2,A>4\n"]}} {"board": "ooBBBooooCooAADCEoFFDCEGHHHoEGIIIooG", "size": 6, "moves": 5, "solution": ["B>1", "Cv2", "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: ooBBBooooCooAADCEoFFDCEGHHHoEGIIIooG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB>1,Cv2,C^2,Dv1,A>4\n"]}} {"board": "BBBCDoAAoCDoEEoCooooFFGoHoIoGoHoIJJo", "size": 6, "moves": 7, "solution": ["F<2", "Cv2", "I^1", "J<1", "Hv1", "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: BBBCDoAAoCDoEEoCooooFFGoHoIoGoHoIJJo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<2,Cv2,I^1,J<1,Hv1,Cv2,A>4\n"]}} {"board": "BBBoooCDAAoECDFooEoDFGGGHHHIoooooIJJ", "size": 6, "moves": 5, "solution": ["A>1", "F^1", "G<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: BBBoooCDAAoECDFooEoDFGGGHHHIoooooIJJ\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,F^1,G<1,Fv1,A>1\n"]}} {"board": "ooAAoBoCCooBDDEFFFGHEoooGHIIJJGHoooo", "size": 6, "moves": 6, "solution": ["A>1", "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: ooAAoBoCCooBDDEFFFGHEoooGHIIJJGHoooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,C<1,E^2,F<1,Cv1,A>1\n"]}} {"board": "ooBoooAABooCoooDoCoooDoCoEEFFFoooGGo", "size": 6, "moves": 5, "solution": ["Bv2", "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: ooBoooAABooCoooDoCoooDoCoEEFFFoooGGo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,E<1,F<1,Bv1,A>4\n"]}} {"board": "ooBoooCoBoooCDDDEoAAoFEooooFoooooFoo", "size": 6, "moves": 5, "solution": ["C^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: ooBoooCoBoooCDDDEoAAoFEooooFoooooFoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D<1,E^1,F^3,A>4\n"]}} {"board": "oBBBoCoAAoDCooEEDoFGGHHoFoIIIJFoKKoJ", "size": 6, "moves": 6, "solution": ["Cv2", "F^3", "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: oBBBoCoAAoDCooEEDoFGGHHoFoIIIJFoKKoJ\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,F^3,G<1,H<1,Dv1,A>3\n"]}} {"board": "ooooBCoAAoBCoDEEoCoDFFGGoDHHoooooIII", "size": 6, "moves": 7, "solution": ["A>1", "D^2", "F<2", "G<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: ooooBCoAAoBCoDEEoCoDFFGGoDHHoooooIII\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,D^2,F<2,G<2,Cv2,Cv2,A>2\n"]}} {"board": "BoAACoBDDoCooEoFFFoEGHHHIIGJJJooGKKK", "size": 6, "moves": 5, "solution": ["D>1", "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: BoAACoBDDoCooEoFFFoEGHHHIIGJJJooGKKK\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD>1,E^2,F<2,Dv1,A>2\n"]}} {"board": "ooooooBBBCDEFFFCDEGGGCHIoJooHIoJAAHI", "size": 6, "moves": 5, "solution": ["D^1", "E^1", "H^1", "I^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: ooooooBBBCDEFFFCDEGGGCHIoJooHIoJAAHI\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E^1,H^1,I^1,A>2\n"]}} {"board": "ooBBBCoAAoDCEEEoDooFFoGGHoIooJHoIKKJ", "size": 6, "moves": 5, "solution": ["F<1", "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: ooBBBCoAAoDCEEEoDooFFoGGHoIooJHoIKKJ\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,G<2,Cv2,Cv1,A>3\n"]}} {"board": "oooooooooooBAAoooBoooCoBDEoCooDEoCFF", "size": 6, "moves": 6, "solution": ["C^1", "E^1", "F<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: oooooooooooBAAoooBoooCoBDEoCooDEoCFF\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,E^1,F<3,Bv2,Bv1,A>4\n"]}} {"board": "oooBCDoooBCDooAACDEEooooFGHHHoFGoIII", "size": 6, "moves": 7, "solution": ["E>2", "G^2", "H<1", "I<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: oooBCDoooBCDooAACDEEooooFGHHHoFGoIII\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nE>2,G^2,H<1,I<2,Cv3,Cv3,A>2\n"]}} {"board": "ooooBCDAAoBCDooEBCDoFEoooGFoHHoGoooo", "size": 6, "moves": 5, "solution": ["F^1", "H<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: ooooBCDAAoBCDooEBCDoFEoooGFoHHoGoooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,H<2,Bv2,Bv2,A>3\n"]}} {"board": "oooooBAAoCDBoooCDEFGGGoEFoHHooFIIIoo", "size": 6, "moves": 8, "solution": ["A>1", "Dv1", "Ev2", "Bv2", "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: oooooBAAoCDBoooCDEFGGGoEFoHHooFIIIoo\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,Dv1,Ev2,Bv2,E^3,F<1,Cv1,A>3\n"]}} {"board": "oooBooCAABooCooBooCooDDDoooEEEoooooo", "size": 6, "moves": 5, "solution": ["C^1", "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: oooBooCAABooCooBooCooDDDoooEEEoooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D<3,E<3,Cv2,A>3\n"]}} {"board": "oAAoBoooCoBDEECoBDoFCGGHIFoooHIooJJo", "size": 6, "moves": 7, "solution": ["A<1", "C^1", "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: oAAoBoooCoBDEECoBDoFCGGHIFoooHIooJJo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<1,C^1,Fv1,F<3,Bv1,Bv1,A>4\n"]}} {"board": "BBBoCooooDCEoAADFEGoooFoGHoIIIGHoJJJ", "size": 6, "moves": 7, "solution": ["D^1", "E^1", "A>1", "H^2", "I<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: BBBoCooooDCEoAADFEGoooFoGHoIIIGHoJJJ\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E^1,A>1,H^2,I<2,Gv1,A>2\n"]}} {"board": "ooooBooooCBoAAoCBDooEooDooEFFFoooooo", "size": 6, "moves": 6, "solution": ["C^1", "D^2", "E^3", "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: ooooBooooCBoAAoCBDooEooDooEFFFoooooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^2,E^3,F<2,Dv3,A>4\n"]}} {"board": "ooooooooBCooAABCDoEoFCDGEoFoDGooFHHo", "size": 6, "moves": 7, "solution": ["B^1", "F^1", "H<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: ooooooooBCooAABCDoEoFCDGEoFoDGooFHHo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,F^1,H<3,Cv2,Cv1,Cv1,A>4\n"]}} {"board": "oBoCoooBoCoDAAECoDoFEGGooFEoHHIIoooo", "size": 6, "moves": 5, "solution": ["D^1", "Ev1", "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: oBoCoooBoCoDAAECoDoFEGGooFEoHHIIoooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,Ev1,G>1,Cv3,A>4\n"]}} {"board": "oAAoBoCooDBoCEEDBoCooDFFGoooooGoooHH", "size": 6, "moves": 5, "solution": ["D^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: oAAoBoCooDBoCEEDBoCooDFFGoooooGoooHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,F<3,Bv1,Bv1,A>3\n"]}} {"board": "BBBoooooCoooDECFFFDEoooGDAAHoGIIoHoG", "size": 6, "moves": 9, "solution": ["B>3", "C^1", "E^2", "I>1", "Ev1", "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: BBBoooooCoooDECFFFDEoooGDAAHoGIIoHoG\nOptimal length (moves): 9\nReturn only the and blocks.", "\nShortest path found.\n\n\nB>3,C^1,E^2,I>1,Ev1,E<3,G^2,H^2,A>3\n"]}} {"board": "ooooBCooAABCDDooBEooFGGEooFoooooFooo", "size": 6, "moves": 8, "solution": ["A<2", "Ev2", "Cv2", "E^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: ooooBCooAABCDDooBEooFGGEooFoooooFooo\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<2,Ev2,Cv2,E^3,F<3,Bv2,Bv2,A>4\n"]}} {"board": "oBBBCoooDoCoAADoCoEooFGGEooFHHEIIFoo", "size": 6, "moves": 9, "solution": ["B<1", "F^3", "G<3", "H<3", "Cv3", "Cv3", "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: oBBBCoooDoCoAADoCoEooFGGEooFHHEIIFoo\nOptimal length (moves): 9\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,F^3,G<3,H<3,Cv3,Cv3,B>3,C^1,A>4\n"]}} {"board": "ooooBoooAABoCCoDBoEEoDFFoooGGGHHooII", "size": 6, "moves": 5, "solution": ["G<3", "Dv2", "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: ooooBoooAABoCCoDBoEEoDFFoooGGGHHooII\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<3,Dv2,E<2,Bv2,A>2\n"]}} {"board": "ooooooooBBBoooCDDDEoCooFEGGGoFEoAAoF", "size": 6, "moves": 5, "solution": ["B>1", "C^2", "D<1", "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: ooooooooBBBoooCDDDEoCooFEGGGoFEoAAoF\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB>1,C^2,D<1,F^1,A>2\n"]}} {"board": "ooBoooooBoooAABoooCooooDCooooDCEEEoD", "size": 6, "moves": 8, "solution": ["D^1", "E>2", "Bv3", "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: ooBoooooBoooAABoooCooooDCooooDCEEEoD\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E>2,Bv3,A>3,D^1,E<1,Cv1,A>1\n"]}} {"board": "ooooBoAAoCBooDDCBoooEoooooEoFFGGEHHo", "size": 6, "moves": 7, "solution": ["Cv1", "C<1", "E^2", "F<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: ooooBoAAoCBooDDCBoooEoooooEoFFGGEHHo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,C<1,E^2,F<4,Bv2,Bv1,A>4\n"]}} {"board": "BBBooCDoAAoCDEEEFFGGHoIIooHJJJooHoKK", "size": 6, "moves": 7, "solution": ["B>1", "D^1", "E<1", "F<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: BBBooCDoAAoCDEEEFFGGHoIIooHJJJooHoKK\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nB>1,D^1,E<1,F<1,I<1,Dv2,A>2\n"]}} {"board": "AABooooCBDDooCEoFFGoEHIJGKKHIJGLLHIo", "size": 6, "moves": 5, "solution": ["G^2", "K<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: AABooooCBDDooCEoFFGoEHIJGKKHIJGLLHIo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nG^2,K<1,Fv1,Bv1,A>4\n"]}} {"board": "BCAADoBCoEDoFCGEHHFoGooooooIIIJJJoKK", "size": 6, "moves": 13, "solution": ["Cv1", "Fv1", "Bv1", "A<2", "E^1", "F^2", "G<2", "I<2", "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: BCAADoBCoEDoFCGEHHFoGooooooIIIJJJoKK\nOptimal length (moves): 13\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Fv1,Bv1,A<2,E^1,F^2,G<2,I<2,Dv3,F>2,Bv1,Bv1,A>4\n"]}} {"board": "oBoooCDBoooCDBAAoCDoEFFFooEooooGGHHH", "size": 6, "moves": 7, "solution": ["A>1", "E^2", "F<1", "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: oBoooCDBoooCDBAAoCDoEFFFooEooooGGHHH\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>1\n"]}} {"board": "oBCCCoDBooEoDBooEoDAAoEooFoooooFoooo", "size": 6, "moves": 5, "solution": ["A>1", "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: oBCCCoDBooEoDBooEoDAAoEooFoooooFoooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,Bv1,B<1,E^1,A>2\n"]}} {"board": "oooBBBooCDDDooCooEAACooEooFFoEGGGHHH", "size": 6, "moves": 8, "solution": ["C^1", "A>3", "F<2", "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: oooBBBooCDDDooCooEAACooEooFFoEGGGHHH\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>3,F<2,Bv2,B<1,C<1,E^2,A>1\n"]}} {"board": "ooAABCoooDBCoEoDFFGEHIooGEHIJJGoHIKK", "size": 6, "moves": 8, "solution": ["A<1", "D^1", "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: ooAABCoooDBCoEoDFFGEHIooGEHIJJGoHIKK\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<1,D^1,Ev1,E<3,Bv1,Bv1,Bv1,A>3\n"]}} {"board": "ooAABoooooBoCCooBoDEEFFoDGGooHDIIooH", "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: ooAABoooooBoCCooBoDEEFFoDGGooHDIIooH\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": "AAoBCoDooBCEDFFFoEoGGGHEooIoHJKKIoHJ", "size": 6, "moves": 5, "solution": ["Cv1", "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: AAoBCoDooBCEDFFFoEoGGGHEooIoHJKKIoHJ\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Cv2,E<1,Bv1,A>4\n"]}} {"board": "ooooBoAACoBoooCoDDooCooooEEFFoGGGooo", "size": 6, "moves": 6, "solution": ["E<1", "G>3", "Cv2", "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: ooooBoAACoBoooCoDDooCooooEEFFoGGGooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,G>3,Cv2,C<2,Bv2,A>4\n"]}} {"board": "oAABCoDooBCEDoFFCEooGGGEHHHIIIoooJJJ", "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: oAABCoDooBCEDoFFCEooGGGEHHHIIIoooJJJ\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Bv1,G<1,Bv1,A>3\n"]}} {"board": "ooooooAAoBoCooDBoCEFDGGCEFooooEooHHH", "size": 6, "moves": 6, "solution": ["Cv1", "Cv2", "Ev1", "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: ooooooAAoBoCooDBoCEFDGGCEFooooEooHHH\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Cv2,Ev1,E<2,Bv1,A>4\n"]}} {"board": "ooooooBooCCCBoooDooAAEDFoooEoFoooEoF", "size": 6, "moves": 6, "solution": ["Bv1", "B<3", "D^1", "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: ooooooBooCCCBoooDooAAEDFoooEoFoooEoF\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,B<3,D^1,E^3,F^3,A>3\n"]}} {"board": "ooooBCoAAoBCDoEooCDoEFGoDooFGoHHoFII", "size": 6, "moves": 6, "solution": ["Cv2", "F^1", "I<2", "Gv1", "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: ooooBCoAAoBCDoEooCDoEFGoDooFGoHHoFII\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,F^1,I<2,Gv1,Bv2,A>3\n"]}} {"board": "ooooooAAoBCoDooBCoDEoBFFDEooGGooHHHo", "size": 6, "moves": 6, "solution": ["B^1", "Ev1", "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: ooooooAAoBCoDooBCoDEoBFFDEooGGooHHHo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,Ev1,E<3,Bv2,Bv1,A>4\n"]}} {"board": "oBBBCooAADCooooDoooEEDFFGoHIIJGoHooJ", "size": 6, "moves": 12, "solution": ["B<1", "A<1", "D^1", "E<1", "H^3", "G<2", "I<2", "Dv4", "F>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: oBBBCooAADCooooDoooEEDFFGoHIIJGoHooJ\nOptimal length (moves): 12\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,A<1,D^1,E<1,H^3,G<2,I<2,Dv4,F>2,Cv2,Cv1,A>4\n"]}} {"board": "oAABCooDDBCEoooBCEFFFGoHoIIGoHoJJJoH", "size": 6, "moves": 5, "solution": ["Cv1", "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: oAABCooDDBCEoooBCEFFFGoHoIIGoHoJJJoH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,J<1,Gv1,Bv1,A>3\n"]}} {"board": "oBBBooAACoooooCDooEEEDoooFFFoooGGooo", "size": 6, "moves": 5, "solution": ["F<1", "Dv2", "D>3", "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: oBBBooAACoooooCDooEEEDoooFFFoooGGooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Dv2,D>3,Cv1,A>4\n"]}} {"board": "oBCDoooBCDEFGoAAEFGooooFGHHoIIoooJJJ", "size": 6, "moves": 5, "solution": ["E^1", "I<1", "J<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: oBCDoooBCDEFGoAAEFGooooFGHHoIIoooJJJ\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,I<1,J<1,Fv2,A>2\n"]}} {"board": "oAAooBoooCoBDDoCEEoooCFFGHHHoIGooooI", "size": 6, "moves": 7, "solution": ["D>1", "G^2", "H<1", "Cv2", "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: oAAooBoooCoBDDoCEEoooCFFGHHHoIGooooI\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nD>1,G^2,H<1,Cv2,E<1,Bv1,A>3\n"]}} {"board": "oBBBCooAADCooEEDCooFFFoooooGGGooHHHo", "size": 6, "moves": 5, "solution": ["F<1", "Dv1", "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: oBBBCooAADCooEEDCooFFFoooooGGGooHHHo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Dv1,G<2,Cv2,A>3\n"]}} {"board": "ooooooooooBoooooBooCDoBooCDEFoAADEFo", "size": 6, "moves": 5, "solution": ["B^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: ooooooooooBoooooBooCDoBooCDEFoAADEFo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,D^1,E^1,F^1,A>4\n"]}} {"board": "ooBCCCAABooDooEEoDooFFFoooooGGHHHoII", "size": 6, "moves": 7, "solution": ["E<2", "G<1", "I<1", "Dv3", "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: ooBCCCAABooDooEEoDooFFFoooooGGHHHoII\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<2,G<1,I<1,Dv3,E>1,Bv2,A>4\n"]}} {"board": "oBAAoCoBoDoCoBoDEEooFGGoHoFIIIHJJKKK", "size": 6, "moves": 8, "solution": ["F^1", "G>1", "H^2", "I<3", "Dv2", "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: oBAAoCoBoDoCoBoDEEooFGGoHoFIIIHJJKKK\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,G>1,H^2,I<3,Dv2,F<1,Cv1,A>2\n"]}} {"board": "ooooooAABoooooBooCDDDooCoEoooCoEoFFF", "size": 6, "moves": 6, "solution": ["C^2", "D>3", "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: ooooooAABoooooBooCDDDooCoEoooCoEoFFF\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,D>3,Cv3,C<1,Bv2,A>4\n"]}} {"board": "oooBBBCoDDDoCoEFFFCoEoGHIJJJGHIAAoGH", "size": 6, "moves": 6, "solution": ["D>1", "E^2", "F<2", "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: oooBBBCoDDDoCoEFFFCoEoGHIJJJGHIAAoGH\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nD>1,E^2,F<2,G^1,H^1,A>3\n"]}} {"board": "ooBAACooBDDCEoBooFEooGGFoHHHoFoIIJJJ", "size": 6, "moves": 5, "solution": ["I<1", "J<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: ooBAACooBDDCEoBooFEooGGFoHHHoFoIIJJJ\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nI<1,J<1,Fv1,Cv1,A>1\n"]}} {"board": "AAoBCooDEBCFGDEBoFGoEHHFIJJKKKIooooo", "size": 6, "moves": 7, "solution": ["Cv1", "D^1", "G^1", "H<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: AAoBCooDEBCFGDEBoFGoEHHFIJJKKKIooooo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,D^1,G^1,H<3,Bv1,Bv1,A>4\n"]}} {"board": "oBoCoooBoCoooooDDDooEooFAAEooFooEooF", "size": 6, "moves": 6, "solution": ["E^2", "A>3", "Dv2", "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: oBoCoooBoCoooooDDDooEooFAAEooFooEooF\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^2,A>3,Dv2,D<1,F^2,A>1\n"]}} {"board": "oAAooBooCCDBooEFDGHHEFDGooIFoGJJIKKK", "size": 6, "moves": 7, "solution": ["C<2", "E^1", "I^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: oAAooBooCCDBooEFDGHHEFDGooIFoGJJIKKK\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,E^1,I^1,K<1,Gv1,Bv1,A>3\n"]}} {"board": "oBoCCCoBDooooBDoEFAAooEFooGoEFooGooo", "size": 6, "moves": 6, "solution": ["A>2", "Bv1", "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: oBoCCCoBDooooBDoEFAAooEFooGoEFooGooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,Bv1,B<2,E^2,F^2,A>2\n"]}} {"board": "oooBBBoAAoCooDEECooDoFGGHDIFooHoIJJJ", "size": 6, "moves": 15, "solution": ["A<1", "Dv1", "D<2", "H^1", "I^4", "E>2", "G^1", "J<3", "Hv1", "H<2", "Dv3", "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: oooBBBoAAoCooDEECooDoFGGHDIFooHoIJJJ\nOptimal length (moves): 15\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<1,Dv1,D<2,H^1,I^4,E>2,G^1,J<3,Hv1,H<2,Dv3,E>1,G>1,Bv2,A>4\n"]}} {"board": "BoAACoBoooCDBEEFFDoGGGHHIIIoJJoKKKLL", "size": 6, "moves": 6, "solution": ["I>1", "Bv3", "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: BoAACoBoooCDBEEFFDoGGGHHIIIoJJoKKKLL\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nI>1,Bv3,D<1,E<1,Bv1,A>2\n"]}} {"board": "oBBBCDAAEoCDooEFCDoGGFooHooIIoHoooJJ", "size": 6, "moves": 6, "solution": ["Dv2", "G<1", "Dv1", "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: oBBBCDAAEoCDooEFCDoGGFooHooIIoHoooJJ\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv2,G<1,Dv1,I<1,Cv2,A>4\n"]}} {"board": "ooooBoooAABoooooBoCoDDEECoooooCFFFGG", "size": 6, "moves": 5, "solution": ["C^3", "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: ooooBoooAABoooooBoCoDDEECoooooCFFFGG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^3,D<2,E<2,Cv2,A>2\n"]}} {"board": "ooooooooooBooCAABooCooBooCoDDDoooEEo", "size": 6, "moves": 5, "solution": ["C^1", "D<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: ooooooooooBooCAABooCooBooCoDDDoooEEo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D<2,E<1,Cv2,A>2\n"]}} {"board": "BooCDEBooCDEooAAoEFGoHHoFGoIIIFGJJKK", "size": 6, "moves": 6, "solution": ["G^1", "I<1", "J<1", "K<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: BooCDEBooCDEooAAoEFGoHHoFGoIIIFGJJKK\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nG^1,I<1,J<1,K<1,Ev3,A>2\n"]}} {"board": "oooBBBoCCCoooooDooAAoDoEoFoDGEoFooGE", "size": 6, "moves": 5, "solution": ["B<3", "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: oooBBBoCCCoooooDooAAoDoEoFoDGEoFooGE\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<3,C<1,D^2,E^3,A>4\n"]}} {"board": "AAooBoooCoBoDECFFFDEoGGoDEooHHooIIIo", "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: AAooBoooCoBoDECFFFDEoGGoDEooHHooIIIo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,Dv1,D<2,Bv1,A>4\n"]}} {"board": "ooBBBooAAoCooDDDCooooEFFoooEoooooEoo", "size": 6, "moves": 7, "solution": ["B<2", "D<1", "E^3", "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: ooBBBooAAoCooDDDCooooEFFoooEoooooEoo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,D<1,E^3,F<3,Cv2,Cv1,A>3\n"]}} {"board": "oBoCCCoBDEEEoBDooooFDAAGoFoHHGoFoooG", "size": 6, "moves": 5, "solution": ["C<1", "Dv1", "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: oBoCCCoBDEEEoBDooooFDAAGoFoHHGoFoooG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,Dv1,D<1,G^3,A>1\n"]}} {"board": "AABoooooBoooooBoCCoDEEEFGDoooFGDoooF", "size": 6, "moves": 9, "solution": ["C<1", "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: AABoooooBoooooBoCCoDEEEFGDoooFGDoooF\nOptimal length (moves): 9\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,F^3,F>1,Bv1,A>3,C^1,F<1,Cv1,A>1\n"]}} {"board": "ooooooBoCDDDBoCooEAACoFEoGGoFEoHHooo", "size": 6, "moves": 8, "solution": ["C^1", "Fv1", "A>3", "F<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: ooooooBoCDDDBoCooEAACoFEoGGoFEoHHooo\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,Fv1,A>3,F<1,Bv2,C<1,E^2,A>1\n"]}} {"board": "ooAABoCCooBoooDDBooooEFFoooEooGGGEoo", "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: ooAABoCCooBoooDDBooooEFFoooEooGGGEoo\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": "oooBBBCCCDooooEDooooEFoGooEFoGAAoFoG", "size": 6, "moves": 5, "solution": ["B<3", "D^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: oooBBBCCCDooooEDooooEFoGooEFoGAAoFoG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<3,D^1,F^1,G^1,A>4\n"]}} {"board": "oAABoooooBoCDDoBoCooEFFCGoEHHHGoEoII", "size": 6, "moves": 6, "solution": ["A<1", "E^3", "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: oAABoooooBoCDDoBoCooEFFCGoEHHHGoEoII\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<1,E^3,F<3,Bv1,Bv1,A>4\n"]}} {"board": "AAoooBooCooBoDCEEEoDoFFFoDGHIIJJGHKK", "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: AAoooBooCooBoDCEEEoDoFFFoDGHIIJJGHKK\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": "BooCCCBoooDoooooDoEooFFFEoAAGoEoooGo", "size": 6, "moves": 5, "solution": ["C<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: BooCCCBoooDoooooDoEooFFFEoAAGoEoooGo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,D^1,F<2,G^2,A>2\n"]}} {"board": "oooBBBoAACoDoooCEDFooCEoFooGGGFoHHoo", "size": 6, "moves": 5, "solution": ["Dv1", "F^2", "G<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: oooBBBoAACoDoooCEDFooCEoFooGGGFoHHoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,F^2,G<3,Dv1,A>3\n"]}} {"board": "oooBoooAABoCDDDooCoEEFFooGGGHHoooooo", "size": 6, "moves": 6, "solution": ["F>1", "G<1", "Bv4", "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: oooBoooAABoCDDDooCoEEFFooGGGHHoooooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nF>1,G<1,Bv4,E<1,Bv1,A>3\n"]}} {"board": "oooBBBoCDEEEoCDFFFoooGoHIAAGoHIooJJJ", "size": 6, "moves": 6, "solution": ["C^1", "D^1", "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: oooBBBoCDEEEoCDFFFoooGoHIAAGoHIooJJJ\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^1,F<3,G^1,H^1,A>3\n"]}} {"board": "AAooBCooDEBCooDEoCoFDGGGoFoHoooooHoo", "size": 6, "moves": 6, "solution": ["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: AAooBCooDEBCooDEoCoFDGGGoFoHoooooHoo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>3,C^1,G<1,Cv1,A>1\n"]}} {"board": "oBoCCCDBEEEoDoooFGDoAAFGHHIJJGooIoKK", "size": 6, "moves": 6, "solution": ["Bv2", "B<1", "D<1", "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: oBoCCCDBEEEoDoooFGDoAAFGHHIJJGooIoKK\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,B<1,D<1,F^1,G^2,A>2\n"]}} {"board": "oooBoooooBoCoAABDCooooDooooEEEFFFooo", "size": 6, "moves": 5, "solution": ["C^1", "D^2", "E<3", "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: oooBoooooBoCoAABDCooooDooooEEEFFFooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^2,E<3,Bv3,A>3\n"]}} {"board": "ooAAoBoooCoBoooCoBoooCDDEEoooooooooo", "size": 6, "moves": 6, "solution": ["A<1", "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: ooAAoBoooCoBoooCoBoooCDDEEoooooooooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<1,C^1,D<3,Bv1,Bv1,A>3\n"]}} {"board": "BBBooooCCCoooooDoooooDEFAAoDEFooGGEF", "size": 6, "moves": 5, "solution": ["C<1", "D^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: BBBooooCCCoooooDoooooDEFAAoDEFooGGEF\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,D^1,E^2,F^2,A>4\n"]}} {"board": "oooBBBoCDoooECDoooECDFFFEoAAGHoIIIGH", "size": 6, "moves": 6, "solution": ["C^1", "D^1", "F<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: oooBBBoCDoooECDoooECDFFFEoAAGHoIIIGH\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^1,F<2,G^2,H^2,A>2\n"]}} {"board": "ooooooooooBoAACoBDooCooDoEEEoDooooFF", "size": 6, "moves": 5, "solution": ["B^1", "C^2", "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: ooooooooooBoAACoBDooCooDoEEEoDooooFF\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,C^2,F<1,Dv1,A>4\n"]}} {"board": "AAoBCDoEEBCDFFoBCoGHHHIJGoKLIJGoKLoJ", "size": 6, "moves": 9, "solution": ["A>1", "Dv1", "F>1", "G^3", "H<1", "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: AAoBCDoEEBCDFFoBCoGHHHIJGoKLIJGoKLoJ\nOptimal length (moves): 9\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,Dv1,F>1,G^3,H<1,Cv1,Iv1,Cv1,A>3\n"]}} {"board": "ooBooCAABooCooBDoooooDEEFFoGGGHHHooo", "size": 6, "moves": 6, "solution": ["D^1", "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: ooBooCAABooCooBDoooooDEEFFoGGGHHHooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E<4,Bv2,Bv2,Bv1,A>4\n"]}} {"board": "AABooCooBooCDEFGoHDEFGoHDoFGoHoooIII", "size": 6, "moves": 9, "solution": ["Fv1", "Bv1", "A>3", "C^1", "H^1", "I<1", "Hv1", "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: AABooCooBooCDEFGoHDEFGoHDoFGoHoooIII\nOptimal length (moves): 9\nReturn only the and blocks.", "\nShortest path found.\n\n\nFv1,Bv1,A>3,C^1,H^1,I<1,Hv1,Cv1,A>1\n"]}} {"board": "ooBCDoEFBCDGEFoCoGEHIIIJoHooKJooAAKJ", "size": 6, "moves": 6, "solution": ["G^1", "Hv1", "H<1", "I^1", "K^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: ooBCDoEFBCDGEFoCoGEHIIIJoHooKJooAAKJ\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nG^1,Hv1,H<1,I^1,K^1,A>2\n"]}} {"board": "ooAAoBCCoooBoooooDoEFooDoEFGGGoEFHHH", "size": 6, "moves": 5, "solution": ["F^2", "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: ooAAoBCCoooBoooooDoEFooDoEFGGGoEFHHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^2,G<1,Ev1,Bv1,A>2\n"]}} {"board": "oooooooooBBBAAoooCDDDEoCoooEoCoooEFF", "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: oooooooooBBBAAoooCDDDEoCoooEoCoooEFF\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,F<3,Cv1,Cv1,A>4\n"]}} {"board": "oooooBoooAABoooCCCooDDEEoFoooooFoooo", "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: oooooBoooAABoooCCCooDDEEoFoooooFoooo\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": "ooooooooooooooooBooCCCBDoAAEBDoooEoD", "size": 6, "moves": 5, "solution": ["B^1", "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: ooooooooooooooooBooCCCBDoAAEBDoooEoD\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,C<1,D^2,E^2,A>3\n"]}} {"board": "oooooBoooAABoooooooCoDEEoCoDoooooDoo", "size": 6, "moves": 7, "solution": ["A<2", "Cv1", "C^3", "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: oooooBoooAABoooooooCoDEEoCoDoooooDoo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<2,Cv1,C^3,D<3,Bv2,Bv2,A>3\n"]}} {"board": "oBCoDEoBCFDEAAoFoEGHoIIoGHJKKKGoJoLL", "size": 6, "moves": 7, "solution": ["F^1", "A>3", "J^2", "K<1", "L<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: oBCoDEoBCFDEAAoFoEGHoIIoGHJKKKGoJoLL\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,A>3,J^2,K<1,L<1,Fv3,A>1\n"]}} {"board": "ooAABoooooBoCCooBDooEFFDooEGGDooEoHH", "size": 6, "moves": 6, "solution": ["A<2", "E^3", "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: ooAABoooooBoCCooBDooEFFDooEGGDooEoHH\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<2,E^3,F<3,Bv1,Bv1,A>4\n"]}} {"board": "ooooBooCAABDoCooBDEFFoooEGoHHHEGIIIo", "size": 6, "moves": 7, "solution": ["C^1", "Dv1", "F>1", "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: ooooBooCAABDoCooBDEFFoooEGoHHHEGIIIo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,Dv1,F>1,G^2,H<2,Cv2,A>2\n"]}} {"board": "oooooBoooooBoooAABoooooooCCDEEoooDFF", "size": 6, "moves": 6, "solution": ["A<2", "D^4", "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: oooooBoooooBoooAABoooooooCCDEEoooDFF\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<2,D^4,E<1,F<1,Cv3,A>3\n"]}} {"board": "ooBooCAABooCDDDooEoFFGGEooHoooooHooo", "size": 6, "moves": 9, "solution": ["Ev2", "D>3", "E<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: ooBooCAABooCDDDooEoFFGGEooHoooooHooo\nOptimal length (moves): 9\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv2,D>3,E<1,Bv2,A>3,C^2,D<1,Cv2,A>1\n"]}} {"board": "oBoCCCoBDDDooooooEAAooFEoGGHFIoooHFI", "size": 6, "moves": 7, "solution": ["E^1", "A>2", "Bv2", "B<2", "C<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: oBoCCCoBDDDooooooEAAooFEoGGHFIoooHFI\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,A>2,Bv2,B<2,C<1,F^3,A>2\n"]}} {"board": "oooooBoCCCoBDDDooBAAEoooooEoFFooEGGo", "size": 6, "moves": 11, "solution": ["F<1", "Bv3", "B>2", "C>3", "D^3", "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: oooooBoCCCoBDDDooBAAEoooooEoFFooEGGo\nOptimal length (moves): 11\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Bv3,B>2,C>3,D^3,A>3,Bv3,B<1,C<1,E^3,A>1\n"]}} {"board": "ooBBBCoAADoCEEoDFFGooDHIGJJoHIooooHo", "size": 6, "moves": 5, "solution": ["Dv2", "E<1", "Iv1", "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: ooBBBCoAADoCEEoDFFGooDHIGJJoHIooooHo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv2,E<1,Iv1,Cv2,A>3\n"]}} {"board": "oooBoooooBoooAABoCDEEEFCDGooFoDGooFo", "size": 6, "moves": 5, "solution": ["C^2", "D^3", "E<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: oooBoooooBoooAABoCDEEEFCDGooFoDGooFo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,D^3,E<1,Cv3,A>3\n"]}} {"board": "BCooooBCDooooCDEEEooDooFoooAAFoGGooF", "size": 6, "moves": 5, "solution": ["G<1", "Dv2", "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: BCooooBCDooooCDEEEooDooFoooAAFoGGooF\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,Dv2,D<1,F^2,A>1\n"]}} {"board": "ooBBBCooAAoCooDDoCEoFFFoEGGHHHEoIIIo", "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: ooBBBCooAAoCooDDoCEoFFFoEGGHHHEoIIIo\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": "ooooBoAAoCBooooCDDooEFFooGEHHooGEooo", "size": 6, "moves": 8, "solution": ["C^1", "D<4", "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: ooooBoAAoCBooooCDDooEFFooGEHHooGEooo\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D<4,E^3,F<3,Bv2,Bv2,Bv2,A>4\n"]}} {"board": "ooooBooooCBooAACBoooooDDoEEFoooooFGG", "size": 6, "moves": 6, "solution": ["C^1", "D<3", "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: ooooBooooCBooAACBoooooDDoEEFoooooFGG\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D<3,F^1,G<2,Cv3,A>3\n"]}} {"board": "ooBoooAABooCoDEooCoDEoFoooGGFooooooo", "size": 6, "moves": 5, "solution": ["Cv1", "G<2", "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: ooBoooAABooCoDEooCoDEoFoooGGFooooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,G<2,Dv2,Bv2,A>4\n"]}} {"board": "AABCooooBCoooDBEEEoDoFFFoDoGGGooHHHo", "size": 6, "moves": 6, "solution": ["Dv1", "H>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: AABCooooBCoooDBEEEoDoFFFoDoGGGooHHHo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,H>1,Bv3,C<3,Bv1,A>4\n"]}} {"board": "oAAoBooCooBooCDDEEoFGGGHoFIJJHoFIooH", "size": 6, "moves": 6, "solution": ["A>1", "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: oAAoBooCooBooCDDEEoFGGGHoFIJJHoFIooH\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,C^1,D<2,E<2,Cv1,A>2\n"]}} {"board": "BBBoCDAAoECDoooEFFGHooooGHIoJJGHIKKo", "size": 6, "moves": 5, "solution": ["Ev2", "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: BBBoCDAAoECDoooEFFGHooooGHIoJJGHIKKo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv2,E<2,Cv2,Cv2,A>4\n"]}} {"board": "oooBCooAABCoooDBEEooDFFoooGGooooHHoo", "size": 6, "moves": 8, "solution": ["G<2", "H<2", "Dv2", "E<2", "Bv3", "C<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: oooBCooAABCoooDBEEooDFFoooGGooooHHoo\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<2,H<2,Dv2,E<2,Bv3,C<2,Bv2,A>3\n"]}} {"board": "BoooCoBoAACoBDoEEEFDoGGGFHIIJoFHooJo", "size": 6, "moves": 5, "solution": ["D^2", "E<2", "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: BoooCoBoAACoBDoEEEFDoGGGFHIIJoFHooJo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,E<2,G<2,Dv2,A>2\n"]}} {"board": "BBBCCCDooEoFDAAEoFDooEooooooGGoooHHH", "size": 6, "moves": 5, "solution": ["G<3", "Fv2", "H<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: BBBCCCDooEoFDAAEoFDooEooooooGGoooHHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<3,Fv2,H<3,Ev2,A>3\n"]}} {"board": "oooBCoAAoBCooooDDDoooEEoooooFFoooooo", "size": 6, "moves": 5, "solution": ["D<3", "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: oooBCoAAoBCooooDDDoooEEoooooFFoooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<3,E<2,Bv2,Bv2,A>4\n"]}} {"board": "BoooooBooCCCBoDoEFAADoEFooDooFoooooo", "size": 6, "moves": 7, "solution": ["D^2", "Ev2", "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: BoooooBooCCCBoDoEFAADoEFooDooFoooooo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,Ev2,A>3,Cv2,C<1,E^2,A>1\n"]}} {"board": "BAAoCDBooECDFFFECoooGGHHoIoJJJoIKKoo", "size": 6, "moves": 5, "solution": ["Dv1", "G<2", "H<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: BAAoCDBooECDFFFECoooGGHHoIoJJJoIKKoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,G<2,H<2,Cv1,A>3\n"]}} {"board": "oBoCCCoBoAADoEFooDGEFooDGEHIIIGoHJJo", "size": 6, "moves": 5, "solution": ["F^2", "H^2", "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: oBoCCCoBoAADoEFooDGEFooDGEHIIIGoHJJo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^2,H^2,I<1,Ev1,A>1\n"]}} {"board": "ooBoCoAABoCoooBoCoooooDDooEEoFGGoHHF", "size": 6, "moves": 5, "solution": ["D<4", "Cv2", "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: ooBoCoAABoCoooBoCoooooDDooEEoFGGoHHF\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<4,Cv2,E<2,Bv2,A>4\n"]}} {"board": "ooooooooBoooCoBDDDCoBooEAAoooEoooooE", "size": 6, "moves": 5, "solution": ["A>3", "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: ooooooooBoooCoBDDDCoBooEAAoooEoooooE\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>3,Bv2,C<1,E^2,A>1\n"]}} {"board": "oooBBBAAooCoDEEECoDFGGHHDFoooIoooJJI", "size": 6, "moves": 7, "solution": ["A>1", "D^2", "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: oooBBBAAooCoDEEECoDFGGHHDFoooIoooJJI\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,D^2,Fv1,F<2,G<2,Dv1,A>3\n"]}} {"board": "oooBBBoooooooCCCDooAAEDFoooEoFoooooF", "size": 6, "moves": 5, "solution": ["B<1", "D^1", "Ev1", "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: oooBBBoooooooCCCDooAAEDFoooEoFoooooF\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,D^1,Ev1,E^3,A>3\n"]}} {"board": "oBBBCDoAAoCDooEoCDooEFFFGGooooHHoooo", "size": 6, "moves": 5, "solution": ["Ev2", "E<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: oBBBCDoAAoCDooEoCDooEFFFGGooooHHoooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv2,E<2,Cv2,Cv2,A>3\n"]}} {"board": "oooooooooBoCAAoBoCooDooCooDEEEooDooo", "size": 6, "moves": 6, "solution": ["B^1", "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: oooooooooBoCAAoBoCooDooCooDEEEooDooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,A>3,D^2,E<1,Dv2,A>1\n"]}} {"board": "oBoooCDBooECDoAAECFGHHooFGoIIIFGJJKK", "size": 6, "moves": 7, "solution": ["E^1", "G^1", "I<1", "J<1", "K<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: oBoooCDBooECDoAAECFGHHooFGoIIIFGJJKK\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,G^1,I<1,J<1,K<1,Dv3,A>2\n"]}} {"board": "ooooooooooooBooCCCBooDooBAADoEoFFDoE", "size": 6, "moves": 5, "solution": ["Bv1", "B<3", "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: ooooooooooooBooCCCBooDooBAADoEoFFDoE\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,B<3,D^2,E^2,A>3\n"]}} {"board": "BoAAoCBoDEoCooDEFFGHHEooGoIIooGooJJJ", "size": 6, "moves": 7, "solution": ["G^1", "I<1", "J<3", "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: BoAAoCBoDEoCooDEFFGHHEooGoIIooGooJJJ\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nG^1,I<1,J<3,Ev2,F<1,Cv1,A>2\n"]}} {"board": "AAooBooCDDBooCooEoFoGGEoFoHIEoooHIJJ", "size": 6, "moves": 8, "solution": ["F^2", "G<2", "H^1", "I^1", "J<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: AAooBooCDDBooCooEoFoGGEoFoHIEoooHIJJ\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^2,G<2,H^1,I^1,J<2,Fv1,Bv1,A>4\n"]}} {"board": "oAAoBCooooBCooDDEEoooooooooooooooFFF", "size": 6, "moves": 5, "solution": ["D<2", "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: oAAoBCooooBCooDDEEoooooooooooooooFFF\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<2,E<2,Bv1,Bv1,A>3\n"]}} {"board": "oooAABCCCooBooDDoBoooEFFoooEGGHHHEoo", "size": 6, "moves": 7, "solution": ["A<2", "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: oooAABCCCooBooDDoBoooEFFoooEGGHHHEoo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<2,D<1,E^3,F<3,Bv1,Bv1,A>3\n"]}} {"board": "ooBBBooAAooCoooDECFFGDECooGHHHooGooo", "size": 6, "moves": 5, "solution": ["A>2", "G^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: ooBBBooAAooCoooDECFFGDECooGHHHooGooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,G^2,H<1,Dv1,A>1\n"]}} {"board": "oooooooBoCCCoBooDooooEDooAAEDooooEoo", "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: oooooooBoCCCoBooDooooEDooAAEDooooEoo\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": "ooAABCooooBCDDDoBCEoFFGGEHHIJoEKKIJo", "size": 6, "moves": 7, "solution": ["D>1", "E^3", "F<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: ooAABCooooBCDDDoBCEoFFGGEHHIJoEKKIJo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nD>1,E^3,F<2,G<2,Cv1,Cv1,A>2\n"]}} {"board": "ooBoCoAABoCDEEooCDoooooDoFooGGoFoHHH", "size": 6, "moves": 5, "solution": ["Bv2", "G<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: ooBoCoAABoCDEEooCDoooooDoFooGGoFoHHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,G<2,Bv2,Bv1,A>4\n"]}} {"board": "ooBBBoooooooooCooDAACoEDooFoEoooFoEo", "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: ooBBBoooooooooCooDAACoEDooFoEoooFoEo\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": "oooBCoAAoBCoDEooCFDEGGoFDoHHoFIIIooo", "size": 6, "moves": 6, "solution": ["Cv2", "I>2", "Dv2", "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: oooBCoAAoBCoDEooCFDEGGoFDoHHoFIIIooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,I>2,Dv2,F<1,Bv2,A>4\n"]}} {"board": "ooBBBoCCCoDooAAEDoFGGEHHFooEoIFoJJJI", "size": 6, "moves": 6, "solution": ["B<1", "D^1", "F^1", "J<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: ooBBBoCCCoDooAAEDoFGGEHHFooEoIFoJJJI\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,D^1,F^1,J<2,Fv1,A>3\n"]}} {"board": "ooBCDoAABCDooEBoDooEoooFooGGoFHHooII", "size": 6, "moves": 5, "solution": ["Cv2", "Cv2", "G<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: ooBCDoAABCDooEBoDooEoooFooGGoFHHooII\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,Cv2,G<2,Bv2,A>4\n"]}} {"board": "oBoCCCoBoooooBooooooAADEooooDEooooDo", "size": 6, "moves": 5, "solution": ["Bv1", "B<2", "D^3", "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: oBoCCCoBoooooBooooooAADEooooDEooooDo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,B<2,D^3,E^2,A>2\n"]}} {"board": "oAAoBoooooBoooCoBoooCDDoooCooEoooooE", "size": 6, "moves": 6, "solution": ["A<1", "C^2", "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: oAAoBoooooBoooCoBoooCDDoooCooEoooooE\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<1,C^2,D<3,Bv1,Bv1,A>4\n"]}} {"board": "oAAooBoooCCBoDDoEBFooGEHFooGEHFIIIJJ", "size": 6, "moves": 6, "solution": ["F^1", "I<1", "J<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: oAAooBoooCCBoDDoEBFooGEHFooGEHFIIIJJ\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,I<1,J<1,Hv1,Bv1,A>3\n"]}} {"board": "oooooooAAoBoooCoBoooCDDoooCooooooEEE", "size": 6, "moves": 6, "solution": ["A<1", "C^2", "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: oooooooAAoBoooCoBoooCDDoooCooooooEEE\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<1,C^2,D<3,Bv2,Bv1,A>4\n"]}} {"board": "AAooBoooooBoooooBoooCDDEooCFoEooCFoE", "size": 6, "moves": 5, "solution": ["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: AAooBoooooBoooooBoooCDDEooCFoEooCFoE\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^3,D<3,Bv1,Bv1,A>4\n"]}} {"board": "oBoCCCoBDooEoBDooEFAAoGEFooHGIFooHGI", "size": 6, "moves": 6, "solution": ["A>1", "Bv1", "B<2", "E^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: oBoCCCoBDooEoBDooEFAAoGEFooHGIFooHGI\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,Bv1,B<2,E^1,G^3,A>2\n"]}} {"board": "ooBBBooooAACooDDoCoooEFFooGEooHHGEoo", "size": 6, "moves": 8, "solution": ["B<2", "A<2", "D<1", "E^3", "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: ooBBBooooAACooDDoCoooEFFooGEooHHGEoo\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,A<2,D<1,E^3,F<3,Cv2,Cv1,A>3\n"]}} {"board": "AAooBCooDDBCEFGoBoEFGHHooFooIIooJJJo", "size": 6, "moves": 6, "solution": ["Cv1", "C<2", "G^1", "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: AAooBCooDDBCEFGoBoEFGHHooFooIIooJJJo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,C<2,G^1,H<1,Bv1,A>4\n"]}} {"board": "AAooBoCCCoBoooDoEEFoDGHHFIDGJJFIKKoo", "size": 6, "moves": 5, "solution": ["K>1", "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: AAooBoCCCoBoooDoEEFoDGHHFIDGJJFIKKoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nK>1,Dv1,D<2,Bv1,A>4\n"]}} {"board": "BoooooBoooooBooCCCAAoDoooooDooEEoDoo", "size": 6, "moves": 6, "solution": ["A>1", "E>1", "Bv3", "B<3", "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: BoooooBoooooBooCCCAAoDoooooDooEEoDoo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,E>1,Bv3,B<3,D^3,A>3\n"]}} {"board": "oooBooooCBooAACBooDoooooDEEEooDooooo", "size": 6, "moves": 6, "solution": ["C^1", "A>1", "D^2", "E<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: oooBooooCBooAACBooDoooooDEEEooDooooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>1,D^2,E<1,Cv3,A>3\n"]}} {"board": "BBBoooooCDDDooCEoooAAEoFooGGoFoooooF", "size": 6, "moves": 7, "solution": ["A<1", "G<2", "Cv3", "C<1", "Dv2", "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: BBBoooooCDDDooCEoooAAEoFooGGoFoooooF\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<1,G<2,Cv3,C<1,Dv2,D^3,A>4\n"]}} {"board": "BCCCooBoooooooooooAAoDEooooDEooooDoo", "size": 6, "moves": 5, "solution": ["Bv1", "B<1", "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: BCCCooBoooooooooooAAoDEooooDEooooDoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,B<1,D^3,E^2,A>4\n"]}} {"board": "oBoooCoBoooCooAAoCDoEEEoDooFFFDoGGHH", "size": 6, "moves": 5, "solution": ["F<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: oBoooCoBoooCooAAoCDoEEEoDooFFFDoGGHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,G<1,H<1,Cv3,A>2\n"]}} {"board": "oooBBBoooooooooCCCAAoDEooooDEFoooDEF", "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: oooBBBoooooooooCCCAAoDEooooDEFoooDEF\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": "ooooooooooooooBBBoooooooAACoDoooCoDo", "size": 6, "moves": 5, "solution": ["B<1", "D^4", "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: ooooooooooooooBBBoooooooAACoDoooCoDo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,D^4,C>2,D^2,A>4\n"]}} {"board": "oooBBBoooooCDoEEECDAAFoCoooFGGHHHFoo", "size": 6, "moves": 6, "solution": ["B<3", "C^1", "Dv1", "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: oooBBBoooooCDoEEECDAAFoCoooFGGHHHFoo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<3,C^1,Dv1,D<2,F^3,A>3\n"]}} {"board": "oooBBBAACoooooCDoooECDoFGEHHHFGEoooF", "size": 6, "moves": 8, "solution": ["F^2", "H>1", "Cv1", "A>3", "D^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: oooBBBAACoooooCDoooECDoFGEHHHFGEoooF\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^2,H>1,Cv1,A>3,D^1,H<1,Dv1,A>1\n"]}} {"board": "oooBooAAoBCDooEECDFFFoCDoooGGGoooHHH", "size": 6, "moves": 6, "solution": ["E<1", "Bv2", "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: oooBooAAoBCDooEECDFFFoCDoooGGGoooHHH\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv2,G<2,Bv1,Bv1,A>4\n"]}} {"board": "BoooooBoCDDDoECFFFoEooGHIIIoGHoAAoGH", "size": 6, "moves": 6, "solution": ["C^1", "E^2", "F<2", "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: BoooooBoCDDDoECFFFoEooGHIIIoGHoAAoGH\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,E^2,F<2,G^1,H^1,A>3\n"]}} {"board": "oooBoooAABoCoooBoCooDDDCoEEEoooooooo", "size": 6, "moves": 5, "solution": ["Cv1", "D<2", "E<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: oooBoooAABoCoooBoCooDDDCoEEEoooooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,D<2,E<1,Bv2,A>3\n"]}} {"board": "AAooBoCCooBooDooBooDoEEEFFoooooooGGG", "size": 6, "moves": 5, "solution": ["C>2", "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: AAooBoCCooBooDooBooDoEEEFFoooooooGGG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC>2,D^1,E<2,Bv1,A>4\n"]}} {"board": "BooooCBAAooCBoDEEEFGDHHHFGIoJKFGIoJK", "size": 6, "moves": 6, "solution": ["A>2", "D^2", "E<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: BooooCBAAooCBoDEEEFGDHHHFGIoJKFGIoJK\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,D^2,E<1,H<1,Dv2,A>1\n"]}} {"board": "AABoooooBoCCDDDoEFGoHHEFGoooooGoIIoo", "size": 6, "moves": 5, "solution": ["Ev1", "Ev1", "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: AABoooooBoCCDDDoEFGoHHEFGoooooGoIIoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,Ev1,D>3,Bv1,A>4\n"]}} {"board": "oBBBoooooCCCoooDoooAADEooooDEoooFFFo", "size": 6, "moves": 5, "solution": ["B<1", "C<3", "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: oBBBoooooCCCoooDoooAADEooooDEoooFFFo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,C<3,D^2,E^2,A>3\n"]}} {"board": "ooBoCoooBoCoooBDDDEFoooGEFAAoGEFoooG", "size": 6, "moves": 5, "solution": ["A>1", "Bv3", "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: ooBoCoooBoCoooBDDDEFoooGEFAAoGEFoooG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,Bv3,C<1,G^2,A>1\n"]}} {"board": "ooBBBCooAAoCDDooooEEFGHHooFGooooFGoo", "size": 6, "moves": 8, "solution": ["B<2", "A<1", "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: ooBBBCooAAoCDDooooEEFGHHooFGooooFGoo\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,A<1,G^3,H<1,Dv4,G>1,Cv2,A>3\n"]}} {"board": "BCoDDDBCooooBCoooooAAoEoooFFEooGGGEo", "size": 6, "moves": 5, "solution": ["A>1", "Cv1", "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: BCoDDDBCooooBCoooooAAoEoooFFEooGGGEo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,Cv1,C<2,E^3,A>2\n"]}} {"board": "ooBCCCDoBooEDoBooEooAAoEoFoooooFoGGG", "size": 6, "moves": 5, "solution": ["A>1", "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: ooBCCCDoBooEDoBooEooAAoEoFoooooFoGGG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,Bv1,B<1,E^1,A>1\n"]}} {"board": "BooooCBoDAACBoDEECFoDoooFooGHHoooGoo", "size": 6, "moves": 6, "solution": ["Dv2", "D<2", "G^2", "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: BooooCBoDAACBoDEECFoDoooFooGHHoooGoo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv2,D<2,G^2,H<1,Cv2,A>1\n"]}} {"board": "AAoBCooooBCoDEEECoDFoGGHoFoooHoFIIoH", "size": 6, "moves": 6, "solution": ["Dv1", "D<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: AAoBCooooBCoDEEECoDFoGGHoFoooHoFIIoH\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,D<1,Bv1,G<1,Bv1,A>4\n"]}} {"board": "oooooBoooooBooAAoBoooooooooCDDoooCEE", "size": 6, "moves": 6, "solution": ["A<1", "C^4", "D<1", "E<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: oooooBoooooBooAAoBoooooooooCDDoooCEE\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<1,C^4,D<1,E<1,Cv3,A>3\n"]}} {"board": "ooooooooBCCCooBoDoooAADEoooooEoooooE", "size": 6, "moves": 6, "solution": ["Dv2", "A<2", "Bv3", "B<1", "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: ooooooooBCCCooBoDoooAADEoooooEoooooE\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv2,A<2,Bv3,B<1,C^3,A>4\n"]}} {"board": "oAABoCoooBoCDDoooCoEEEFFooooGGHHHIII", "size": 6, "moves": 5, "solution": ["Bv1", "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: oAABoCoooBoCDDoooCoEEEFFooooGGHHHIII\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,E<1,F<1,Bv1,A>3\n"]}} {"board": "oBoCCCoBDoooAADEooFGoEoHFGoEoHFoIIIo", "size": 6, "moves": 6, "solution": ["D^1", "A>1", "F^1", "I<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: oBoCCCoBDoooAADEooFGoEoHFGoEoHFoIIIo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>1,F^1,I<2,Fv1,A>3\n"]}} {"board": "oBBBoooCoDDDoCooEoFoooEGFAAoEGoooHHH", "size": 6, "moves": 5, "solution": ["Cv1", "C<2", "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: oBBBoooCoDDDoCooEoFoooEGFAAoEGoooHHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,C<2,E^1,G^1,A>3\n"]}} {"board": "oooooooAAoBoooooBoCCooBDoEFFFDoEGGoD", "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: oooooooAAoBoooooBoCCooBDoEFFFDoEGGoD\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": "ooooooooooooooBoooCoBDDDCoBEooAAoEoo", "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: ooooooooooooooBoooCoBDDDCoBEooAAoEoo\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": "oBBBooooCCCDooEEEDFAAoGDFHooGoFHoIII", "size": 6, "moves": 5, "solution": ["C<1", "D^1", "E<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: oBBBooooCCCDooEEEDFAAoGDFHooGoFHoIII\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,D^1,E<1,G^2,A>3\n"]}} {"board": "oBoooooBooooooooCoooDoCEAADoFEooDoFE", "size": 6, "moves": 5, "solution": ["C^2", "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: oBoooooBooooooooCoooDoCEAADoFEooDoFE\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,D^2,E^2,F^2,A>4\n"]}} {"board": "ooBCooAABCoDEooCFDEoooFGHIIoFGHooooo", "size": 6, "moves": 5, "solution": ["Bv2", "Bv2", "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: ooBCooAABCoDEooCFDEoooFGHIIoFGHooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,Bv2,Gv1,Bv1,A>4\n"]}} {"board": "BCCCDoBoAADoBEFooooEFoGGoEoHHHooIIIo", "size": 6, "moves": 5, "solution": ["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: BCCCDoBoAADoBEFooooEFoGGoEoHHHooIIIo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nI>1,Fv2,F<2,Dv2,A>2\n"]}} {"board": "oBBBCoooDoCoAADoCoooDooEoFGGoEoFooHH", "size": 6, "moves": 13, "solution": ["Cv1", "B>1", "G>1", "Cv2", "A>2", "F^4", "A<2", "E^2", "G<3", "H<4", "Dv2", "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: oBBBCoooDoCoAADoCoooDooEoFGGoEoFooHH\nOptimal length (moves): 13\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,B>1,G>1,Cv2,A>2,F^4,A<2,E^2,G<3,H<4,Dv2,Dv2,A>4\n"]}} {"board": "ooBCCCAABooDoEEFoDGGGFoDoooHHoooIIIo", "size": 6, "moves": 12, "solution": ["E<1", "Bv1", "B<1", "D^1", "F^1", "G>3", "I>1", "Dv3", "F<3", "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: ooBCCCAABooDoEEFoDGGGFoDoooHHoooIIIo\nOptimal length (moves): 12\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv1,B<1,D^1,F^1,G>3,I>1,Dv3,F<3,Cv2,Cv1,A>4\n"]}} {"board": "ooBCCCAABoooooDDooEoFFGoEooHGoEooHoo", "size": 6, "moves": 5, "solution": ["D<2", "Gv1", "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: ooBCCCAABoooooDDooEoFFGoEooHGoEooHoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<2,Gv1,F>1,Bv2,A>4\n"]}} {"board": "oBoAACoBoDDCoooEoFGHIEoFGHIJJFGHIKKK", "size": 6, "moves": 5, "solution": ["I^1", "K<1", "Gv1", "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: oBoAACoBoDDCoooEoFGHIEoFGHIJJFGHIKKK\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nI^1,K<1,Gv1,Cv1,A>1\n"]}} {"board": "BBBoCoAAooCoDoooCoDoEoooooEoFFooEoGG", "size": 6, "moves": 5, "solution": ["E^2", "F<4", "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: BBBoCoAAooCoDoooCoDoEoooooEoFFooEoGG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^2,F<4,Cv2,Cv1,A>4\n"]}} {"board": "oBoooCoBAAoCDDEFFFGHEooIGHJJJIGHoKKK", "size": 6, "moves": 7, "solution": ["A>1", "E^2", "F<1", "K<1", "Iv1", "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: oBoooCoBAAoCDDEFFFGHEooIGHJJJIGHoKKK\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,E^2,F<1,K<1,Iv1,Dv2,A>1\n"]}} {"board": "oooAABoooCCBDoEEoBDFGGHHDFoIIIoFoooo", "size": 6, "moves": 5, "solution": ["F^3", "G<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: oooAABoooCCBDoEEoBDFGGHHDFoIIIoFoooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^3,G<1,H<1,Cv1,A>1\n"]}} {"board": "ooooBoooAABoooooBooCooDDoCEoFFoCEooo", "size": 6, "moves": 6, "solution": ["C^3", "D<4", "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: ooooBoooAABoooooBooCooDDoCEoFFoCEooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^3,D<4,E^2,F<2,Cv2,A>2\n"]}} {"board": "ooooooooBBBCAADoECFoDoECFGGoEoFooHHo", "size": 6, "moves": 6, "solution": ["Cv2", "B>1", "C^2", "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: ooooooooBBBCAADoECFoDoECFGGoEoFooHHo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,B>1,C^2,H<1,Dv1,A>4\n"]}} {"board": "ooBCCCoDBooEoDoAAEFGGGoEFHHIoooooIJJ", "size": 6, "moves": 6, "solution": ["F^2", "G<1", "I^1", "J<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: ooBCCCoDBooEoDoAAEFGGGoEFHHIoooooIJJ\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^2,G<1,I^1,J<1,Fv2,A>1\n"]}} {"board": "oAAoBoCoooBoCoDEEoCoDoooFoDGGGFHHooo", "size": 6, "moves": 5, "solution": ["H>2", "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: oAAoBoCoooBoCoDEEoCoDoooFoDGGGFHHooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nH>2,Dv1,D<1,Bv1,A>3\n"]}} {"board": "ooBBBCDooAACDoEEFCDGHoFooGHIIIoGHooo", "size": 6, "moves": 6, "solution": ["Dv2", "D<2", "H^2", "I<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: ooBBBCDooAACDoEEFCDGHoFooGHIIIoGHooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv2,D<2,H^2,I<1,Cv2,A>1\n"]}} {"board": "oooBBBoooCCCooDDDooAAEoooFoEoooFoEGG", "size": 6, "moves": 5, "solution": ["B<3", "C<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: oooBBBoooCCCooDDDooAAEoooFoEoooFoEGG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<3,C<3,D<2,E^3,A>3\n"]}} {"board": "AABooooCBoDDoCBEEEFCGoHHFoGIIIFoJJKK", "size": 6, "moves": 5, "solution": ["F^1", "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: AABooooCBoDDoCBEEEFCGoHHFoGIIIFoJJKK\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,J<2,Gv1,Bv1,A>4\n"]}} {"board": "BCCCooBoooooBooooooAADoEFFFDoEoooDoE", "size": 6, "moves": 5, "solution": ["Bv1", "B<1", "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: BCCCooBoooooBooooooAADoEFFFDoEoooDoE\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,B<1,D^3,E^3,A>3\n"]}} {"board": "oooooBoooCoBAAoCDBoooCDooooooooEEEoo", "size": 6, "moves": 5, "solution": ["Bv3", "C^2", "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: oooooBoooCoBAAoCDBoooCDooooooooEEEoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv3,C^2,E<1,Cv2,A>4\n"]}} {"board": "ooooooooBooCAABooCooBDDDoooEFFGGGEoo", "size": 6, "moves": 8, "solution": ["B^1", "C^1", "D<3", "E^4", "E>3", "G>3", "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: ooooooooBooCAABooCooBDDDoooEFFGGGEoo\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,C^1,D<3,E^4,E>3,G>3,Bv3,A>4\n"]}} {"board": "BCDDDoBCEEEoBooFFFGHIIIoGHooJooAAoJo", "size": 6, "moves": 5, "solution": ["A>1", "Hv1", "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: BCDDDoBCEEEoBooFFFGHIIIoGHooJooAAoJo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,Hv1,H<1,J^1,A>2\n"]}} {"board": "oooooBoooooBoAAooBoooCDDoooCoooooCoo", "size": 6, "moves": 5, "solution": ["C^3", "D<3", "Bv3", "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: oooooBoooooBoAAooBoooCDDoooCoooooCoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^3,D<3,Bv3,Bv3,A>3\n"]}} {"board": "oooBCDAAoBCDoooBooEooFFoEoooooEooooo", "size": 6, "moves": 5, "solution": ["Dv2", "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: oooBCDAAoBCDoooBooEooFFoEoooooEooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv2,F<2,Bv2,Bv2,A>4\n"]}} {"board": "oooooooooooooooBBBooCooDAACooDooCEED", "size": 6, "moves": 6, "solution": ["C^2", "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: oooooooooooooooBBBooCooDAACooDooCEED\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>3,Bv2,B<1,D^2,A>1\n"]}} {"board": "oooBBBoooooCooAADCEoFFDGEoooDGEoHHHG", "size": 6, "moves": 5, "solution": ["B<1", "C^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: oooBBBoooooCooAADCEoFFDGEoooDGEoHHHG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,C^1,H<1,Dv1,A>2\n"]}} {"board": "oooooBoAAooBoooCoBoooCDDoooCoooooooo", "size": 6, "moves": 5, "solution": ["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: oooooBoAAooBoooCoBoooCDDoooCoooooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,D<3,Bv2,Bv2,A>3\n"]}} {"board": "ooBCooAABCooooDoooooDoEoooFFEoooooEo", "size": 6, "moves": 5, "solution": ["Cv2", "F<2", "Cv2", "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: ooBCooAABCooooDoooooDoEoooFFEoooooEo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,F<2,Cv2,Bv2,A>4\n"]}} {"board": "oooooBooooCBAAooCBDoooEEDFFFGGDooooo", "size": 6, "moves": 8, "solution": ["C^1", "A>1", "D^2", "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: oooooBooooCBAAooCBDoooEEDFFFGGDooooo\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>1,D^2,E<1,F<1,G<1,Cv3,A>3\n"]}} {"board": "BAACDoBoECDFoGECDFHGIIIoHooJJJooKKoo", "size": 6, "moves": 6, "solution": ["G^1", "Hv1", "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: BAACDoBoECDFoGECDFHGIIIoHooJJJooKKoo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nG^1,Hv1,H<2,Cv1,Cv1,A>3\n"]}} {"board": "oooBoooAABoooCDDDooCEEoooCFFFoGGGooo", "size": 6, "moves": 6, "solution": ["E>2", "G>2", "Cv1", "C<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: oooBoooAABoooCDDDooCEEoooCFFFoGGGooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nE>2,G>2,Cv1,C<2,Bv2,A>3\n"]}} {"board": "ooBoooooBCCCooBDooEAADoFEooooFEoGGGF", "size": 6, "moves": 8, "solution": ["E^1", "G<2", "Ev2", "A>2", "Bv2", "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: ooBoooooBCCCooBDooEAADoFEooooFEoGGGF\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,G<2,Ev2,A>2,Bv2,B<1,E^3,A>1\n"]}} {"board": "BooCCCBDoEEEBDoFooAAGFoHooGIIHJJGooH", "size": 6, "moves": 9, "solution": ["G^3", "I<3", "Gv2", "A>3", "Cv2", "C<1", "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: BooCCCBDoEEEBDoFooAAGFoHooGIIHJJGooH\nOptimal length (moves): 9\nReturn only the and blocks.", "\nShortest path found.\n\n\nG^3,I<3,Gv2,A>3,Cv2,C<1,E<1,G^3,A>1\n"]}} {"board": "oooooBAAoooBoCoooBoCDEEEoCDFooooDFoo", "size": 6, "moves": 5, "solution": ["A>3", "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: oooooBAAoooBoCoooBoCDEEEoCDFooooDFoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>3,D^3,E<1,Cv2,A>1\n"]}} {"board": "BBBCCCoAADEoooFDEoGHFoIIGHooJJGHoKKK", "size": 6, "moves": 11, "solution": ["A<1", "F^1", "H^1", "I<2", "J<2", "K<2", "Fv3", "H>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: BBBCCCoAADEoooFDEoGHFoIIGHooJJGHoKKK\nOptimal length (moves): 11\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<1,F^1,H^1,I<2,J<2,K<2,Fv3,H>2,Dv1,Dv1,A>4\n"]}} {"board": "oooooBCooooBCoAAoBCooDDDoEEFFFoooooo", "size": 6, "moves": 5, "solution": ["D<1", "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: oooooBCooooBCoAAoBCooDDDoEEFFFoooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,E<1,F<1,Bv3,A>2\n"]}} {"board": "BooCCCBDoEEEFDoGGGFoHAAIooHooIJJHooI", "size": 6, "moves": 5, "solution": ["C<1", "E<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: BooCCCBDoEEEFDoGGGFoHAAIooHooIJJHooI\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,E<1,G<1,I^3,A>1\n"]}} {"board": "AAooBCDEEoBCDoFoBoDGFHHHoGoIJJoGoIoo", "size": 6, "moves": 8, "solution": ["A>2", "Cv1", "D>1", "Fv2", "F^3", "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: AAooBCDEEoBCDoFoBoDGFHHHoGoIJJoGoIoo\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,Cv1,D>1,Fv2,F^3,G<2,Cv1,A>2\n"]}} {"board": "AAoooBoCCooBDEEEoBDooFGGDHHFoIoJJFoI", "size": 6, "moves": 7, "solution": ["Dv1", "D<1", "F^3", "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: AAoooBoCCooBDEEEoBDooFGGDHHFoIoJJFoI\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,D<1,F^3,G<3,Bv1,Bv1,A>4\n"]}} {"board": "ooBCCCAABooDoEEFFDooGGHHooooIIoooJJJ", "size": 6, "moves": 6, "solution": ["E<1", "G<2", "Bv2", "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: ooBCCCAABooDoEEFFDooGGHHooooIIoooJJJ\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,G<2,Bv2,H<1,Cv1,A>4\n"]}} {"board": "oooBBBCoDDDoCoooEoFoAAEGFoooEGFooooG", "size": 6, "moves": 5, "solution": ["B<2", "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: oooBBBCoDDDoCoooEoFoAAEGFoooEGFooooG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,D<1,E^2,G^3,A>2\n"]}} {"board": "BBBCDoAAoCDooooCoEFGGooEFHHHoEFoIIJJ", "size": 6, "moves": 6, "solution": ["Dv2", "A>1", "F^2", "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: BBBCDoAAoCDooooCoEFGGooEFHHHoEFoIIJJ\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv2,A>1,F^2,H<1,Cv2,A>3\n"]}} {"board": "ooBoCoAABDCooEEDCooFoGGHoFoooHoooooH", "size": 6, "moves": 7, "solution": ["E<1", "Bv4", "Ev1", "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: ooBoCoAABDCooEEDCooFoGGHoFoooHoooooH\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv4,Ev1,E<2,Bv2,Bv1,A>4\n"]}} {"board": "BooCCCBDDDoEBooAAEFFFooEGooHIIGooHoo", "size": 6, "moves": 6, "solution": ["A<2", "H^2", "I<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: BooCCCBDDDoEBooAAEFFFooEGooHIIGooHoo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<2,H^2,I<3,Ev2,Ev1,A>3\n"]}} {"board": "BBBCDoAAoCDooooCDoooEoFFooEGGooooooo", "size": 6, "moves": 7, "solution": ["E^1", "G<3", "Ev2", "E<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: BBBCDoAAoCDooooCDoooEoFFooEGGooooooo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,G<3,Ev2,E<3,Cv2,Cv2,A>4\n"]}} {"board": "AAooBCDDEoBCooEoBCooEoFFGGHooIJJHooI", "size": 6, "moves": 6, "solution": ["E^1", "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: AAooBCDDEoBCooEoBCooEoFFGGHooIJJHooI\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,F<4,Bv1,Bv1,Bv1,A>4\n"]}} {"board": "ooBBBooAACooDDDCooEEEFFGHHHooGIIIooG", "size": 6, "moves": 6, "solution": ["G^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: ooBBBooAACooDDDCooEEEFFGHHHooGIIIooG\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nG^3,G>1,Dv3,F<1,Cv2,A>3\n"]}} {"board": "AABoooooBCCoDDBEEFooGHoFIoGHoFIJJoKK", "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: AABoooooBCCoDDBEEFooGHoFIoGHoFIJJoKK\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nI^1,J<1,Hv1,Bv1,A>4\n"]}} {"board": "oooBBBCoooDECoAADEooooDoooooFFGGooHH", "size": 6, "moves": 5, "solution": ["F<2", "Ev2", "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: oooBBBCoooDECoAADEooooDoooooFFGGooHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<2,Ev2,H<2,Dv2,A>2\n"]}} {"board": "AABCDoooBCDEooBFFEGooHHEGoIIIoGooJJJ", "size": 6, "moves": 6, "solution": ["I>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: AABCDoooBCDEooBFFEGooHHEGoIIIoGooJJJ\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nI>1,Bv3,E<2,Bv1,Bv1,A>4\n"]}} {"board": "oBBBooCDDDooCoooEoooFGEoAAFGoooHHGII", "size": 6, "moves": 5, "solution": ["Cv1", "C<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: oBBBooCDDDooCoooEoooFGEoAAFGoooHHGII\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,C<1,F^1,G^2,A>4\n"]}} {"board": "oAAoBooCCDBoEFoDGGEFoDooEFoHHooooooo", "size": 6, "moves": 5, "solution": ["H>1", "Dv2", "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: oAAoBooCCDBoEFoDGGEFoDooEFoHHooooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nH>1,Dv2,F<2,Bv1,A>3\n"]}} {"board": "BBBCoDoAACoDEooFFFEGooHooGIJHooGIJHo", "size": 6, "moves": 5, "solution": ["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: BBBCoDoAACoDEooFFFEGooHooGIJHooGIJHo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,E<3,Cv2,Cv2,A>3\n"]}} {"board": "ooBCooooBCDooAACDoEEEoDoooFFFoooooGG", "size": 6, "moves": 5, "solution": ["F<2", "G<3", "Cv3", "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: ooBCooooBCDooAACDoEEEoDoooFFFoooooGG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<2,G<3,Cv3,Cv2,A>3\n"]}} {"board": "AAooBooCooBooCooBoooDoEEFFDooGHHDooG", "size": 6, "moves": 5, "solution": ["D^3", "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: AAooBooCooBooCooBoooDoEEFFDooGHHDooG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^3,E<4,Bv1,Bv1,A>4\n"]}} {"board": "oBCCCooBoDDDoBEoooooEooFAAEooFooGGGF", "size": 6, "moves": 6, "solution": ["E^1", "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: oBCCCooBoDDDoBEoooooEooFAAEooFooGGGF\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,A>3,Dv1,D<1,F^2,A>1\n"]}} {"board": "BooCCCBoooDooAAoDEooFFDEooGGHHooooII", "size": 6, "moves": 6, "solution": ["G<2", "H<2", "Ev1", "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: BooCCCBoooDooAAoDEooFFDEooGGHHooooII\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<2,H<2,Ev1,I<2,Dv2,A>3\n"]}} {"board": "BBBoooooCCCooooDDDEAAoFGEHHHFGEoIIFG", "size": 6, "moves": 5, "solution": ["C<1", "D<2", "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: BBBoooooCCCooooDDDEAAoFGEHHHFGEoIIFG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,D<2,F^3,G^3,A>3\n"]}} {"board": "oooooBoAACoBoooCoBoDEEoooDooooFFFooo", "size": 6, "moves": 5, "solution": ["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: oooooBoAACoBoooCoBoDEEoooDooooFFFooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE>2,Cv3,D<1,Bv2,A>3\n"]}} {"board": "oooBoooooBoCoDEooCoDEFFFoDEGooAAoGoo", "size": 6, "moves": 5, "solution": ["D^2", "E^2", "F<3", "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: oooBoooooBoCoDEooCoDEFFFoDEGooAAoGoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,E^2,F<3,G^1,A>4\n"]}} {"board": "BooAACBDEFoCoDEFGHIIooGHoJJJGHoKKKLL", "size": 6, "moves": 5, "solution": ["K<1", "L<1", "Hv1", "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: BooAACBDEFoCoDEFGHIIooGHoJJJGHoKKKLL\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nK<1,L<1,Hv1,Cv1,A>1\n"]}} {"board": "AAoBCDEEoBCDoFFFooGGooHIJJJoHIooKKHI", "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: AAoBCDEEoBCDoFFFooGGooHIJJJoHIooKKHI\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Cv1,F<1,Bv1,A>4\n"]}} {"board": "AAooBCooDDBCEFoooCEFGGHIJJooHIooKKLL", "size": 6, "moves": 6, "solution": ["Bv1", "K<1", "L<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: AAooBCooDDBCEFoooCEFGGHIJJooHIooKKLL\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,K<1,L<1,Iv1,Bv1,A>4\n"]}} {"board": "oooooooooooooAAooBoCCCoBoooDoBEEEDFF", "size": 6, "moves": 5, "solution": ["C<1", "D^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: oooooooooooooAAooBoCCCoBoooDoBEEEDFF\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,D^1,F<1,Bv1,A>3\n"]}} {"board": "BooCoDBooCoDBEEEoDoAAooFoooGoFoooGHH", "size": 6, "moves": 5, "solution": ["G^1", "H<3", "Fv1", "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: BooCoDBooCoDBEEEoDoAAooFoooGoFoooGHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nG^1,H<3,Fv1,Fv1,A>3\n"]}} {"board": "oooooBoooooBoooAABoCoDoooCoDoooooDEE", "size": 6, "moves": 6, "solution": ["A<2", "D^1", "E<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: oooooBoooooBoooAABoCoDoooCoDoooooDEE\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<2,D^1,E<3,Bv3,Bv1,A>3\n"]}} {"board": "oAABoooooBCCoDoEoooDoEooFDGGGHFooooH", "size": 6, "moves": 6, "solution": ["D^1", "F^2", "G<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: oAABoooooBCCoDoEoooDoEooFDGGGHFooooH\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,F^2,G<2,Fv1,Bv1,A>3\n"]}} {"board": "oooooooBAACooBooCoDEFFCoDEGGGoDHHHoo", "size": 6, "moves": 5, "solution": ["B^1", "E^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: oooooooBAACooBooCoDEFFCoDEGGGoDHHHoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,E^1,G<1,Cv1,A>2\n"]}} {"board": "oooBooAAoBoooCCBooDoooEEDoFFFoDooGGG", "size": 6, "moves": 5, "solution": ["A>1", "D^2", "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: oooBooAAoBoooCCBooDoooEEDoFFFoDooGGG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,D^2,F<2,Bv2,A>3\n"]}} {"board": "oooBBBoAAoCooDEECooDFFCoGGoHIIoooHoo", "size": 6, "moves": 8, "solution": ["A>1", "D^2", "E<1", "F<1", "H^2", "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: oooBBBoAAoCooDEECooDFFCoGGoHIIoooHoo\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,D^2,E<1,F<1,H^2,I<2,Dv1,A>2\n"]}} {"board": "oooAABoooooBooCCoBDEFGGGDEFoHooEFoHo", "size": 6, "moves": 5, "solution": ["C<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: oooAABoooooBooCCoBDEFGGGDEFoHooEFoHo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,F^3,G<1,Cv1,A>1\n"]}} {"board": "ooooBoAAoCBooooCBooooCDDooooooEEEFFF", "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: ooooBoAAoCBooooCBooooCDDooooooEEEFFF\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D<3,Bv2,Bv2,A>4\n"]}} {"board": "ooooBoooAABooCooBooCDDoooCEFFFooEGGG", "size": 6, "moves": 6, "solution": ["C^2", "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: ooooBoooAABooCooBooCDDoooCEFFFooEGGG\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,D<2,E^2,F<2,Cv2,A>2\n"]}} {"board": "BooCoDBooCEDoAAoEDoFFFGGooHHHooooooo", "size": 6, "moves": 5, "solution": ["E^1", "F<1", "G<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: BooCoDBooCEDoAAoEDoFFFGGooHHHooooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,F<1,G<1,Ev3,A>3\n"]}} {"board": "BBBCDoAAoCDooEooooFEoGGGFoooooFooHHH", "size": 6, "moves": 9, "solution": ["Cv1", "B>1", "A>1", "Ev2", "E^3", "F<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: BBBCDoAAoCDooEooooFEoGGGFoooooFooHHH\nOptimal length (moves): 9\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,B>1,A>1,Ev2,E^3,F<3,Dv2,Dv1,A>3\n"]}} {"board": "ooooBCooooBCoAAoBCDooEEoDooFFFDooooo", "size": 6, "moves": 5, "solution": ["E<1", "F<2", "Bv3", "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: ooooBCooooBCoAAoBCDooEEoDooFFFDooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,F<2,Bv3,Bv3,A>3\n"]}} {"board": "oBBBooCoooooCoDDDooAAEFooooEFoGGoEFo", "size": 6, "moves": 6, "solution": ["B<1", "Cv2", "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: oBBBooCoooooCoDDDooAAEFooooEFoGGoEFo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,Cv2,C<2,E^3,F^3,A>3\n"]}} {"board": "oooBCoDAABCoDEEBooooFFFGoHHHIGJJJoIG", "size": 6, "moves": 5, "solution": ["F<2", "Cv2", "H<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: oooBCoDAABCoDEEBooooFFFGoHHHIGJJJoIG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<2,Cv2,H<1,Bv2,A>3\n"]}} {"board": "AAooBCDDoEBCoFGEBoHFGIIIHoJKKLHoJooL", "size": 6, "moves": 6, "solution": ["Cv1", "Fv2", "F^1", "H<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: AAooBCDDoEBCoFGEBoHFGIIIHoJKKLHoJooL\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Fv2,F^1,H<2,Bv1,A>4\n"]}} {"board": "ooAAoBoooooBCCCooBDEEFFFDGGoooDooHHH", "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: ooAAoBoooooBCCCooBDEEFFFDGGoooDooHHH\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": "BooooCBDAAoCBDEEoFooGooFooGHHHIIGJJJ", "size": 6, "moves": 8, "solution": ["A>1", "E>1", "G^2", "H<1", "J<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: BooooCBDAAoCBDEEoFooGooFooGHHHIIGJJJ\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,E>1,G^2,H<1,J<1,Gv2,Cv2,A>1\n"]}} {"board": "oooBooCooBDoCAAoDEFFFoDEooGHHEIIGoJJ", "size": 6, "moves": 12, "solution": ["C^1", "D^1", "A<1", "E^2", "F>3", "G^4", "G<2", "H<1", "J<2", "Ev3", "Ev3", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oooBooCooBDoCAAoDEFFFoDEooGHHEIIGoJJ\nOptimal length (moves): 12\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^1,A<1,E^2,F>3,G^4,G<2,H<1,J<2,Ev3,Ev3,A>4\n"]}} {"board": "BBBooooCoDDDoCEFFFGoEAAHGooIoHGooIoH", "size": 6, "moves": 5, "solution": ["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: BBBooooCoDDDoCEFFFGoEAAHGooIoHGooIoH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Ev1,E<1,H^3,A>1\n"]}} {"board": "oooooBooCooBAACooBooCDDooooEEEFFFooo", "size": 6, "moves": 8, "solution": ["F>3", "Cv2", "A>3", "C^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: oooooBooCooBAACooBooCDDooooEEEFFFooo\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nF>3,Cv2,A>3,C^2,E<1,F<1,Bv3,A>1\n"]}} {"board": "BooCCCBDoEEEBDoFFFoDoAAGoHHIIGoooooG", "size": 6, "moves": 5, "solution": ["C<1", "E<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: BooCCCBDoEEEBDoFFFoDoAAGoHHIIGoooooG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,E<1,F<1,G^3,A>1\n"]}} {"board": "ooooBoooooBoCAAoBoCDEEEFCDGGGFoooHHF", "size": 6, "moves": 7, "solution": ["A>1", "D^2", "E<1", "G<1", "H<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: ooooBoooooBoCAAoBoCDEEEFCDGGGFoooHHF\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,D^2,E<1,G<1,H<1,Bv3,A>2\n"]}} {"board": "ooAABCoDDoBCoEEEoCooFFGGHHHIJoKKKIJo", "size": 6, "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 (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAABCoDDoBCoEEEoCooFFGGHHHIJoKKKIJo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,F<1,G<1,Bv1,A>2\n"]}} {"board": "ooooBoooooBoAAooBCoooooCoooDDDoooEEo", "size": 6, "moves": 5, "solution": ["C^2", "D<2", "E<1", "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: ooooBoooooBoAAooBCoooooCoooDDDoooEEo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,D<2,E<1,Bv3,A>4\n"]}} {"board": "AAooBCooooBCDDDoECFFoGEooooGHHoooIII", "size": 6, "moves": 6, "solution": ["Cv1", "G^1", "H<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: AAooBCooooBCDDDoECFFoGEooooGHHoooIII\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,G^1,H<2,Fv1,Bv1,A>4\n"]}} {"board": "oBoooooBCCCooBooooAAooDEFooGDEFooGDE", "size": 6, "moves": 6, "solution": ["A>2", "Bv2", "B<1", "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: oBoooooBCCCooBooooAAooDEFooGDEFooGDE\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,Bv2,B<1,D^3,E^3,A>2\n"]}} {"board": "ooBooooCBDDDoCoooEoCAAoEooooFEooooFo", "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: ooBooooCBDDDoCoooEoCAAoEooooFEooooFo\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": "oBBBCDooooCDAAoECooFFEGGooooHHoooIIo", "size": 6, "moves": 7, "solution": ["F<1", "H<3", "I<2", "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: oBBBCDooooCDAAoECooFFEGGooooHHoooIIo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,H<3,I<2,Ev2,F<2,Cv3,A>4\n"]}} {"board": "ooooooooooBoAAooBoCoDoBoCoDEEoCooFFo", "size": 6, "moves": 5, "solution": ["D^3", "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: ooooooooooBoAAooBoCoDoBoCoDEEoCooFFo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^3,E<1,F<1,Cv2,A>4\n"]}} {"board": "AAooBCooooBCDDDooCoEEEFFGGGHHooIIIoo", "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: AAooBCooooBCDDDooCoEEEFFGGGHHooIIIoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,E<1,F<1,Bv1,A>4\n"]}} {"board": "BBBooCoDoooCoDAAEoFGooEHFGIIEHFGoJJJ", "size": 6, "moves": 6, "solution": ["B>2", "D^1", "G^1", "J<2", "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: BBBooCoDoooCoDAAEoFGooEHFGIIEHFGoJJJ\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nB>2,D^1,G^1,J<2,Fv1,A>2\n"]}} {"board": "AABCooooBCDDooBEEoFGHHooFGIIJJFoooKK", "size": 6, "moves": 5, "solution": ["E>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: AABCooooBCDDooBEEoFGHHooFGIIJJFoooKK\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE>1,Cv1,H>1,Bv1,A>4\n"]}} {"board": "oooooBCAAooBCooooBoDoEEEoDFGGGoDFHHH", "size": 6, "moves": 6, "solution": ["A>2", "F^3", "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: oooooBCAAooBCooooBoDoEEEoDFGGGoDFHHH\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,F^3,F<1,G<1,Bv2,A>1\n"]}} {"board": "oooooooooBCooAABCDoooBCDoEEEoFoGGGoF", "size": 6, "moves": 6, "solution": ["Cv2", "C^2", "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: oooooooooBCooAABCDoooBCDoEEEoFoGGGoF\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,C^2,E<1,G<1,Cv2,A>3\n"]}} {"board": "AABooCoDBEECoDBooCFFGGGHoIIIoHoJJKKo", "size": 6, "moves": 8, "solution": ["Hv1", "G>1", "Bv1", "A>3", "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: AABooCoDBEECoDBooCFFGGGHoIIIoHoJJKKo\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nHv1,G>1,Bv1,A>3,D^1,G<1,Cv1,A>1\n"]}} {"board": "BooooCBoAAoCoooooCDooEooDFoEGGDFoEoo", "size": 6, "moves": 7, "solution": ["A<1", "E^2", "F^2", "G<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: BooooCBoAAoCoooooCDooEooDFoEGGDFoEoo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<1,E^2,F^2,G<3,Cv2,Cv1,A>3\n"]}} {"board": "AAooBCooooBCooDEBCooDEFFGGHEoIooHooI", "size": 6, "moves": 7, "solution": ["D^1", "E^2", "F<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: AAooBCooooBCooDEBCooDEFFGGHEoIooHooI\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E^2,F<3,Bv1,Bv1,Bv1,A>4\n"]}} {"board": "AAoBCoDooBCoDooBoEDFFFoEooGGGEooHHoo", "size": 6, "moves": 6, "solution": ["A>1", "Cv1", "C^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: AAoBCoDooBCoDooBoEDFFFoEooGGGEooHHoo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,Cv1,C^1,F<1,Cv1,A>3\n"]}} {"board": "ooBBBooooCCCooDEooAADEooooDFFFooGGoo", "size": 6, "moves": 6, "solution": ["B>1", "D^2", "F<3", "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: ooBBBooooCCCooDEooAADEooooDFFFooGGoo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nB>1,D^2,F<3,G<1,Ev2,A>4\n"]}} {"board": "BBBooCAADooCooDooCooDEooFooEGGFHHEoo", "size": 6, "moves": 7, "solution": ["E^2", "F^2", "G<4", "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: BBBooCAADooCooDooCooDEooFooEGGFHHEoo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^2,F^2,G<4,Cv2,Cv1,Cv1,A>4\n"]}} {"board": "ooAABooCDoBoECDoFFEoGoooEoGHHHIIGooo", "size": 6, "moves": 11, "solution": ["A<2", "Cv2", "C^1", "G^1", "I>3", "Dv1", "Dv1", "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: ooAABooCDoBoECDoFFEoGoooEoGHHHIIGooo\nOptimal length (moves): 11\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<2,Cv2,C^1,G^1,I>3,Dv1,Dv1,D<4,Bv1,Bv1,A>4\n"]}} {"board": "ooAABCDEooBCDEFFBCoGGHHooIIooJooKKoJ", "size": 6, "moves": 5, "solution": ["Cv1", "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: ooAABCDEooBCDEFFBCoGGHHooIIooJooKKoJ\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,G<1,H<1,Bv1,A>2\n"]}} {"board": "BCAAoDBCEooDooEFFDGoEHIIGooHooGJJJoo", "size": 6, "moves": 6, "solution": ["G^1", "J<1", "Hv1", "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: BCAAoDBCEooDooEFFDGoEHIIGooHooGJJJoo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nG^1,J<1,Hv1,H<1,Dv1,A>2\n"]}} {"board": "oooooooooBBBoooooooooCoooAACDEoooCDE", "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: oooooooooBBBoooooooooCoooAACDEoooCDE\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": "BoCCCDBooooDoooAADoEoFFFoEooGGooooHH", "size": 6, "moves": 5, "solution": ["F<1", "G<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: BoCCCDBooooDoooAADoEoFFFoEooGGooooHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,G<1,H<1,Dv3,A>1\n"]}} {"board": "oAABoCDDDBoCooEEoFoooGoFHooGoFHooGoo", "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: oAABoCDDDBoCooEEoFoooGoFHooGoFHooGoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv1,Fv1,Bv1,A>3\n"]}} {"board": "ooooBoooooBoAAooBoCooDoECooDoECooDFF", "size": 6, "moves": 5, "solution": ["D^1", "F<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: ooooBoooooBoAAooBoCooDoECooDoECooDFF\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,F<3,Bv3,Bv1,A>4\n"]}} {"board": "ooBooooCBAADECoFFDEoGHHHEIGoJooIKKJo", "size": 6, "moves": 6, "solution": ["I^1", "K<2", "Hv1", "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: ooBooooCBAADECoFFDEoGHHHEIGoJooIKKJo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nI^1,K<2,Hv1,H<1,Dv1,A>1\n"]}} {"board": "oooBCoAAoBCooDDoooooEEFFGGoooooooHHH", "size": 6, "moves": 6, "solution": ["E<2", "H<3", "Bv4", "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: oooBCoAAoBCooDDoooooEEFFGGoooooooHHH\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<2,H<3,Bv4,E<2,Bv2,A>4\n"]}} {"board": "BBBoooAACDEoFoCDEGFooHHGFIIIoGooooJJ", "size": 6, "moves": 13, "solution": ["B>1", "G^1", "I>2", "Cv3", "A>1", "F^2", "G<3", "Dv1", "Dv1", "H^2", "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: BBBoooAACDEoFoCDEGFooHHGFIIIoGooooJJ\nOptimal length (moves): 13\nReturn only the and blocks.", "\nShortest path found.\n\n\nB>1,G^1,I>2,Cv3,A>1,F^2,G<3,Dv1,Dv1,H^2,I<1,Dv1,A>3\n"]}} {"board": "oooooooAAoBoooCoBoooCDDooEEooooooooo", "size": 6, "moves": 5, "solution": ["E<1", "Cv2", "C<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: oooooooAAoBoooCoBoooCDDooEEooooooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Cv2,C<1,Bv1,A>3\n"]}} {"board": "oooBoCoooBDCoAABDCoEEoFooGGoFoooHHFo", "size": 6, "moves": 5, "solution": ["Cv3", "C^1", "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: oooBoCoooBDCoAABDCoEEoFooGGoFoooHHFo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv3,C^1,H<1,Bv3,A>3\n"]}} {"board": "AAoBoooooBCCoDDBooEooFFFEGGooHEooooH", "size": 6, "moves": 5, "solution": ["A>1", "E^3", "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: AAoBoooooBCCoDDBooEooFFFEGGooHEooooH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,E^3,F<3,Cv1,A>3\n"]}} {"board": "BCDEEEBCDooFoCAAoFGHIJJFGHIKKoooILLL", "size": 6, "moves": 5, "solution": ["A>1", "I^1", "L<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: BCDEEEBCDooFoCAAoFGHIJJFGHIKKoooILLL\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,I^1,L<1,Fv2,A>1\n"]}} {"board": "BooCCCBoDDDooAAoEFGoHoEFGIHJJFGIoKKK", "size": 6, "moves": 6, "solution": ["C<2", "D<1", "E^2", "K<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: BooCCCBoDDDooAAoEFGoHoEFGIHJJFGIoKKK\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,D<1,E^2,K<1,Fv1,A>3\n"]}} {"board": "oBoooCoBoooCDoEEECDooFGooAAFGoHHoFGo", "size": 6, "moves": 5, "solution": ["D^2", "E<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: oBoooCoBoooCDoEEECDooFGooAAFGoHHoFGo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,E<2,F^2,G^2,A>3\n"]}} {"board": "ooooBoooooBooAAoBooCDDEEoCoFoooCoFoo", "size": 6, "moves": 6, "solution": ["A>1", "C^3", "D<2", "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: ooooBoooooBooAAoBooCDDEEoCoFoooCoFoo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,C^3,D<2,E<2,Cv3,A>2\n"]}} {"board": "ooAAoBCCCooBoDEEEBoDFFGGHooIIoHoJJoo", "size": 6, "moves": 5, "solution": ["Dv2", "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: ooAAoBCCCooBoDEEEBoDFFGGHooIIoHoJJoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv2,E<1,F<1,Bv1,A>2\n"]}} {"board": "AAoBoCDoEBoCDoEFFFoGEHHHIGooJJIGooKK", "size": 6, "moves": 7, "solution": ["A>1", "D^1", "Ev2", "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: AAoBoCDoEBoCDoEFFFoGEHHHIGooJJIGooKK\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,D^1,Ev2,E<3,Cv1,Cv1,A>3\n"]}} {"board": "ooooooooooooooBBBCooDDDCAAEoooooEooo", "size": 6, "moves": 5, "solution": ["C^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: ooooooooooooooBBBCooDDDCAAEoooooEooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,C>1,D>1,E^2,A>4\n"]}} {"board": "ooooooBCooooBCDDDoBoooEFGAAoEFGoHHEF", "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: ooooooBCooooBCDDDoBoooEFGAAoEFGoHHEF\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": "oBoCCCDBEoFoDBEoFoDAAoFGoHHooGIIIJJJ", "size": 6, "moves": 6, "solution": ["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 (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoCCCDBEoFoDBEoFoDAAoFGoHHooGIIIJJJ\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,Bv1,B<2,F^1,G^2,A>2\n"]}} {"board": "ooooBoooooBooCAABDECoooDECooooEoFFGG", "size": 6, "moves": 6, "solution": ["D^2", "E^1", "F<2", "G<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: ooooBoooooBooCAABDECoooDECooooEoFFGG\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,E^1,F<2,G<2,Bv3,A>2\n"]}} {"board": "BooCoDBAACoDoooCoDooEEEooooFFFooooGG", "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: BooCoDBAACoDoooCoDooEEEooooFFFooooGG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<2,F<3,Cv2,Cv2,A>3\n"]}} {"board": "oBBBCooAAoCooooDEEFooDooFooDooooGGHH", "size": 6, "moves": 5, "solution": ["G<1", "Dv1", "D<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: oBBBCooAAoCooooDEEFooDooFooDooooGGHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,Dv1,D<2,Cv2,A>3\n"]}} {"board": "oAABCoDooBCoDEEECoFoGGGHFIIIoHFoJJJH", "size": 6, "moves": 6, "solution": ["D^1", "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: oAABCoDooBCoDEEECoFoGGGHFIIIoHFoJJJH\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E<1,Cv1,G<1,Cv1,A>3\n"]}} {"board": "BooCoDBooCoDBoEAADooEFFFoooGGGHHoooo", "size": 6, "moves": 5, "solution": ["E^1", "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: BooCoDBooCoDBoEAADooEFFFoooGGGHHoooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,F<1,G<1,Dv3,A>1\n"]}} {"board": "ooAAoBoCCDoBEoFDGGEHFIIIEHFoJooHooJo", "size": 6, "moves": 7, "solution": ["A<1", "D^1", "Fv1", "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: ooAAoBoCCDoBEoFDGGEHFIIIEHFoJooHooJo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<1,D^1,Fv1,F<3,Bv1,Bv1,A>3\n"]}} {"board": "AAooBooCooBooCDEEEoCDFFFGGGooooooooo", "size": 6, "moves": 6, "solution": ["G>3", "Cv2", "Cv1", "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: AAooBooCooBooCDEEEoCDFFFGGGooooooooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nG>3,Cv2,Cv1,C<2,Bv1,A>4\n"]}} {"board": "ooooBoCAAoBoCDooBoCDoEEEoDFFoGoooooG", "size": 6, "moves": 5, "solution": ["A>1", "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: ooooBoCAAoBoCDooBoCDoEEEoDFFoGoooooG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,D^2,E<2,Cv2,A>2\n"]}} {"board": "ooAABCDoooBCDEFGoCDEFGHHoIFooooIoooo", "size": 6, "moves": 5, "solution": ["Bv1", "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: ooAABCDoooBCDEFGoCDEFGHHoIFooooIoooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,G^1,H<1,Bv1,A>2\n"]}} {"board": "ooAABooooCBoDDECFFGHECIoGHEoIJGHooIJ", "size": 6, "moves": 5, "solution": ["Cv2", "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: ooAABooooCBoDDECFFGHECIoGHEoIJGHooIJ\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,Dv1,D<2,Bv1,A>2\n"]}} {"board": "ooooBoooAABoooooBoCooDooCooDEECooDoo", "size": 6, "moves": 6, "solution": ["A<1", "D^2", "E<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: ooooBoooAABoooooBoCooDooCooDEECooDoo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<1,D^2,E<3,Bv2,Bv1,A>3\n"]}} {"board": "ooBoCoAABoCDooEECDFooooDFoooooFGGooo", "size": 6, "moves": 5, "solution": ["Cv2", "Cv1", "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: ooBoCoAABoCDooEECDFooooDFoooooFGGooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,Cv1,C<2,Bv2,A>4\n"]}} {"board": "AAoooBoCCCoBoDEEEBoDoFGGoooFHIoooFHI", "size": 6, "moves": 8, "solution": ["C<1", "Dv2", "D<2", "E^3", "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: AAoooBoCCCoBoDEEEBoDoFGGoooFHIoooFHI\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,Dv2,D<2,E^3,F<3,Bv1,Bv1,A>4\n"]}} {"board": "oooAABoCoooBDCoooBDCEEFFDGGooooooooo", "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: oooAABoCoooBDCoooBDCEEFFDGGooooooooo\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": "AAoBoCDDDBoCEoFFFCEGoHHHEGoooooIIoJJ", "size": 6, "moves": 6, "solution": ["Ev1", "E<2", "Bv1", "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: AAoBoCDDDBoCEoFFFCEGoHHHEGoooooIIoJJ\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,E<2,Bv1,H<1,Bv1,A>4\n"]}} {"board": "oooBBBoooCoDoAACEDFFGCEHooGoEHooGooH", "size": 6, "moves": 5, "solution": ["B<1", "Cv2", "C^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: oooBBBoooCoDoAACEDFFGCEHooGoEHooGooH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,Cv2,C^1,Dv1,A>3\n"]}} {"board": "oAABooCoDBEoCFDGEooFDGEHIJJJoHIKKooH", "size": 6, "moves": 6, "solution": ["C^1", "I^2", "J<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: oAABooCoDBEoCFDGEooFDGEHIJJJoHIKKooH\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,I^2,J<1,Hv1,Cv1,A>3\n"]}} {"board": "oooBBBAAoooCDooEoCDooEFFoGGGoHoIIooH", "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: oooBBBAAoooCDooEoCDooEFFoGGGoHoIIooH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,F<3,Cv1,Cv1,A>4\n"]}} {"board": "oAAoBoooooBoooCoDDooCooEFoGGHEFoooHo", "size": 6, "moves": 6, "solution": ["A<1", "C^2", "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: oAAoBoooooBoooCoDDooCooEFoGGHEFoooHo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<1,C^2,D<4,Bv1,Bv1,A>4\n"]}} {"board": "ooooooAAoooBooCCoBooDooBEEDFFFooDooo", "size": 6, "moves": 6, "solution": ["A>3", "C<2", "D^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: ooooooAAoooBooCCoBooDooBEEDFFFooDooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>3,C<2,D^2,F<1,Cv1,A>1\n"]}} {"board": "ooooooAABoCoooBoCoDEoFFFDEGGGoDEoHHH", "size": 6, "moves": 7, "solution": ["G>1", "Bv3", "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: ooooooAABoCoooBoCoDEoFFFDEGGGoDEoHHH\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nG>1,Bv3,A>2,D^3,E<2,Cv1,A>2\n"]}} {"board": "ooBoooooBooCAABooCoDDEFGoHHEFGoooEFG", "size": 6, "moves": 5, "solution": ["C^1", "D<1", "H<1", "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: ooBoooooBooCAABooCoDDEFGoHHEFGoooEFG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D<1,H<1,Bv3,A>4\n"]}} {"board": "BoCCCoBDoEEEoDFGGGAAFHoIoooHoIoooJJI", "size": 6, "moves": 7, "solution": ["E<1", "Fv2", "F<1", "H^3", "J>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: BoCCCoBDoEEEoDFGGGAAFHoIoooHoIoooJJI\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Fv2,F<1,H^3,J>1,Hv1,A>4\n"]}} {"board": "ooAABoCCooBooDoEEEFDoGGHFIJoKHFIJoKH", "size": 6, "moves": 5, "solution": ["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: ooAABoCCooBooDoEEEFDoGGHFIJoKHFIJoKH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC>2,D^2,E<2,Cv1,A>2\n"]}} {"board": "ooBooCAABooCooBooCoooDDDoooooooooooo", "size": 6, "moves": 6, "solution": ["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: ooBooCAABooCooBooCoooDDDoooooooooooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>3,C^2,D<1,Cv2,A>1\n"]}} {"board": "oooooBoCoooBoCAADoEEFGDoooFGDoooFGHH", "size": 6, "moves": 9, "solution": ["C^1", "A<2", "F^1", "G^1", "H<4", "Dv1", "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: oooooBoCoooBoCAADoEEFGDoooFGDoooFGHH\nOptimal length (moves): 9\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A<2,F^1,G^1,H<4,Dv1,Dv1,Dv1,A>4\n"]}} {"board": "ooooBoooooBoooAABooCCooooDoooooDoEEE", "size": 6, "moves": 5, "solution": ["C>1", "D^1", "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: ooooBoooooBoooAABooCCooooDoooooDoEEE\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC>1,D^1,E<2,Bv3,A>2\n"]}} {"board": "AAoooBoooCCBoDoEoBoDFEGGooFEHHIIoooo", "size": 6, "moves": 9, "solution": ["C<2", "E^2", "I>3", "Ev2", "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: AAoooBoooCCBoDoEoBoDFEGGooFEHHIIoooo\nOptimal length (moves): 9\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,E^2,I>3,Ev2,Ev1,E<3,Bv1,Bv1,A>4\n"]}} {"board": "ooBCCCoDBEoooDoEFoGDoHFoGAAHIoooooIo", "size": 6, "moves": 7, "solution": ["Bv1", "B<3", "E^1", "F^2", "H^1", "I^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: ooBCCCoDBEoooDoEFoGDoHFoGAAHIoooooIo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,B<3,E^1,F^2,H^1,I^2,A>3\n"]}} {"board": "oooBoooooBoCAAoBoCDooEEEDoooFFDGGooo", "size": 6, "moves": 6, "solution": ["C^1", "A>1", "D^3", "E<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: oooBoooooBoCAAoBoCDooEEEDoooFFDGGooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>1,D^3,E<3,Cv3,A>3\n"]}} {"board": "oooBoooooBoooAABooCooDDoCoEoooCoEFFF", "size": 6, "moves": 6, "solution": ["C^1", "D>1", "E^1", "F<3", "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: oooBoooooBoooAABooCooDDoCoEoooCoEFFF\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D>1,E^1,F<3,Bv3,A>3\n"]}} {"board": "AABCDooEBCDFGEHCoFGEHoooGooIIIoJJKKK", "size": 6, "moves": 5, "solution": ["Cv1", "Cv1", "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: AABCDooEBCDFGEHCoFGEHoooGooIIIoJJKKK\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Cv1,Hv1,Bv1,A>4\n"]}} {"board": "oooBooCDoBooCDoBEoAAoFEGoooFEGoHHHoo", "size": 6, "moves": 5, "solution": ["E^2", "G^2", "H<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: oooBooCDoBooCDoBEoAAoFEGoooFEGoHHHoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^2,G^2,H<1,Gv1,A>4\n"]}} {"board": "ooBCCCoDBEEEFDooooFAAooGoooooGoooooG", "size": 6, "moves": 6, "solution": ["A>2", "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: ooBCCCoDBEEEFDooooFAAooGoooooGoooooG\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,Bv2,B<1,D<1,G^3,A>1\n"]}} {"board": "oAABCDoooBCDoooBoooEEEFoooooFoGGoHHH", "size": 6, "moves": 5, "solution": ["Cv1", "Cv1", "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: oAABCDoooBCDoooBoooEEEFoooooFoGGoHHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Cv1,E<1,Bv1,A>3\n"]}} {"board": "oBCoDooBCoDoAAoEFoGGHEFIooHEFIooHJJI", "size": 6, "moves": 6, "solution": ["H^1", "J<3", "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: oBCoDooBCoDoAAoEFoGGHEFIooHEFIooHJJI\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nH^1,J<3,Ev1,Ev1,Ev1,A>4\n"]}} {"board": "ooBAACDDBEoCFooEGGFoHHHoFoIIIJoKKLLJ", "size": 6, "moves": 10, "solution": ["Bv1", "A<3", "D^1", "E^1", "Fv1", "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: ooBAACDDBEoCFooEGGFoHHHoFoIIIJoKKLLJ\nOptimal length (moves): 10\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A<3,D^1,E^1,Fv1,F<4,Bv1,Bv1,Bv1,A>4\n"]}} {"board": "ooBooCAABooCooDDoCEEEFoooGoFoooGoFoo", "size": 6, "moves": 8, "solution": ["D<2", "F^3", "F>3", "Bv4", "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: ooBooCAABooCooDDoCEEEFoooGoFoooGoFoo\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<2,F^3,F>3,Bv4,E<3,Bv2,Bv2,A>4\n"]}} {"board": "oBAAoCoBDooCooDEECFoDGGGFooHHHFIIIJJ", "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: oBAAoCoBDooCooDEECFoDGGGFooHHHFIIIJJ\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": "ooooBoCAAoBoCDDDooEFooGoEFHoGoooHIII", "size": 6, "moves": 5, "solution": ["H^1", "I<2", "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: ooooBoCAAoBoCDDDooEFooGoEFHoGoooHIII\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nH^1,I<2,Hv1,Bv2,A>3\n"]}} {"board": "AABooooCBDDEoCBooEFCGGGEFHIooJFHIooJ", "size": 6, "moves": 8, "solution": ["E^1", "G>1", "Bv1", "A>3", "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: AABooooCBDDEoCBooEFCGGGEFHIooJFHIooJ\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,G>1,Bv1,A>3,D^1,G<1,Cv1,A>1\n"]}} {"board": "AAooBCoDDoBCoEoFoGHEoFoGHEooIIHoJJoo", "size": 6, "moves": 5, "solution": ["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: AAooBCoDDoBCoEoFoGHEoFoGHEooIIHoJJoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,I<1,Gv1,Bv1,A>4\n"]}} {"board": "oBBBooAAoCoooooCooDooCooDEEEoFDooooF", "size": 6, "moves": 5, "solution": ["A>1", "D^2", "E<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: oBBBooAAoCoooooCooDooCooDEEEoFDooooF\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,D^2,E<1,Dv1,A>3\n"]}} {"board": "oooooooooooooBoCCCoBoDDDAAoEoooooEoo", "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: oooooooooooooBoCCCoBoDDDAAoEoooooEoo\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": "oAAooBoooooBCDDDEECoFoooooFoGoooFoGo", "size": 6, "moves": 5, "solution": ["C^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: oAAooBoooooBCDDDEECoFoooooFoGoooFoGo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,D<1,E<1,Cv1,A>3\n"]}} {"board": "oooooBCooAABCooDDBCEEFFFGGooooHHHIII", "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: oooooBCooAABCooDDBCEEFFFGGooooHHHIII\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": "BBBooCoAADoCoooDoCooEFFoooEGooooEGoo", "size": 6, "moves": 8, "solution": ["Cv2", "B>3", "A<1", "E^3", "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: BBBooCoAADoCoooDoCooEFFoooEGooooEGoo\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,B>3,A<1,E^3,F<3,Bv2,Cv1,A>4\n"]}} {"board": "oAABCooDDBCoEooFFFEGooHHoGIooJooIooJ", "size": 6, "moves": 5, "solution": ["E^2", "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: oAABCooDDBCoEooFFFEGooHHoGIooJooIooJ\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^2,F<3,Cv1,Cv1,A>3\n"]}} {"board": "oBCooooBCDDDEBooooEoAAoFoGHooFoGHooF", "size": 6, "moves": 5, "solution": ["A>1", "Cv2", "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: oBCooooBCDDDEBooooEoAAoFoGHooFoGHooF\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,Cv2,C<1,F^3,A>1\n"]}} {"board": "oooooooooBooAAoBooCooBooCooDDDoEEooo", "size": 6, "moves": 5, "solution": ["A>1", "C^1", "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: oooooooooBooAAoBooCooBooCooDDDoEEooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,C^1,D<3,Bv2,A>3\n"]}} {"board": "ooooooBCCCooBDDDoooooEooAAoEoooooEoo", "size": 6, "moves": 6, "solution": ["A>1", "Bv2", "B<1", "C<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: ooooooBCCCooBDDDoooooEooAAoEoooooEoo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,Bv2,B<1,C<1,E^2,A>3\n"]}} {"board": "ooBBBoooCDDDooCEEEFooooGFoHooGAAHooG", "size": 6, "moves": 6, "solution": ["B>1", "C^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: ooBBBoooCDDDooCEEEFooooGFoHooGAAHooG\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nB>1,C^1,E<1,G^1,H^1,A>4\n"]}} {"board": "BooooCBoAAoCBooDDCooEFFoooEGGGooEoHH", "size": 6, "moves": 5, "solution": ["A>1", "E^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: BooooCBoAAoCBooDDCooEFFoooEGGGooEoHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,E^2,G<1,Cv2,A>1\n"]}} {"board": "oAAooBCDDDEBCoooEBCFFGGGHHIJoKooIJoK", "size": 6, "moves": 5, "solution": ["C^1", "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: oAAooBCDDDEBCoooEBCFFGGGHHIJoKooIJoK\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,F<1,G<1,Cv1,A>3\n"]}} {"board": "oBooCoDBooCoDAAoCoEFFoooEGHHooEGIIJJ", "size": 6, "moves": 8, "solution": ["D^1", "E^1", "F>1", "G^1", "I<2", "J<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: oBooCoDBooCoDAAoCoEFFoooEGHHooEGIIJJ\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E^1,F>1,G^1,I<2,J<2,Dv3,A>3\n"]}} {"board": "ooBoooooBCCCooooDooAAEDooFFEoooGGEoo", "size": 6, "moves": 8, "solution": ["Dv2", "A<1", "E<1", "G<1", "Bv4", "B<3", "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: ooBoooooBCCCooooDooAAEDooFFEoooGGEoo\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv2,A<1,E<1,G<1,Bv4,B<3,C^3,A>4\n"]}} {"board": "ooooBoAAooBoooooBooCoDDDoCoooooCoooo", "size": 6, "moves": 5, "solution": ["A>2", "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: ooooBoAAooBoooooBooCoDDDoCoooooCoooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,C^3,D<2,Cv2,A>2\n"]}} {"board": "oBooCDoBooCDAAoooDEoFGGGEHFIIoEHFooo", "size": 6, "moves": 5, "solution": ["A>3", "F^3", "G<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: oBooCDoBooCDAAoooDEoFGGGEHFIIoEHFooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>3,F^3,G<1,Ev3,A>1\n"]}} {"board": "oBooooCBDDDoCAAoEoCoFoEoGGFHHHooFooo", "size": 6, "moves": 5, "solution": ["A>1", "Bv2", "C<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: oBooooCBDDDoCAAoEoCoFoEoGGFHHHooFooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,Bv2,C<1,E^2,A>2\n"]}} {"board": "oBBBCoDAAoCEDoFFCEoooGGoHIIJJoHooKKK", "size": 6, "moves": 8, "solution": ["D^1", "Ev1", "G<1", "H^2", "I<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: oBBBCoDAAoCEDoFFCEoooGGoHIIJJoHooKKK\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,Ev1,G<1,H^2,I<1,J<1,Dv2,A>3\n"]}} {"board": "BoooCoBAAoCoBooDDDooEEFFoGGHoooooHoo", "size": 6, "moves": 5, "solution": ["D<2", "E<2", "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: BoooCoBAAoCoBooDDDooEEFFoGGHoooooHoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<2,E<2,F<2,Cv2,A>3\n"]}} {"board": "ooBBBCoooooCAAoooCoDEEFFGDoHHHGDooII", "size": 6, "moves": 8, "solution": ["A>2", "D^3", "E<1", "F<1", "H<1", "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: ooBBBCoooooCAAoooCoDEEFFGDoHHHGDooII\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,D^3,E<1,F<1,H<1,I<1,Dv3,A>2\n"]}} {"board": "AABCooooBCooooBDDDoooooooooooEFFFooE", "size": 6, "moves": 6, "solution": ["E^1", "F>3", "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: AABCooooBCooooBDDDoooooooooooEFFFooE\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,F>3,Bv3,C<3,Bv1,A>4\n"]}} {"board": "ooooooooBCCCooBoooooAADoooooDEFFFoDE", "size": 6, "moves": 8, "solution": ["A<2", "Bv1", "B<2", "D^3", "E^3", "F>3", "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: ooooooooBCCCooBoooooAADoooooDEFFFoDE\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<2,Bv1,B<2,D^3,E^3,F>3,Ev2,A>4\n"]}} {"board": "oBoooooBCCCDoooooDAAooEFGHHHEFGoooEo", "size": 6, "moves": 6, "solution": ["A>2", "Bv2", "B<1", "E^3", "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: oBoooooBCCCDoooooDAAooEFGHHHEFGoooEo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,Bv2,B<1,E^3,Fv1,A>2\n"]}} {"board": "AAoBoCDDDBoCoEoFFCoEGGGooEoHHHoIIoJJ", "size": 6, "moves": 6, "solution": ["Cv1", "I>1", "Ev1", "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: AAoBoCDDDBoCoEoFFCoEGGGooEoHHHoIIoJJ\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,I>1,Ev1,E<2,Bv1,A>4\n"]}} {"board": "ooBoooooBCCCDDDoEoooooEFooAAoFoooooF", "size": 6, "moves": 14, "solution": ["Ev1", "D>3", "A<2", "Bv3", "B<2", "C<2", "E^3", "D>2", "E^1", "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: ooBoooooBCCCDDDoEoooooEFooAAoFoooooF\nOptimal length (moves): 14\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,D>3,A<2,Bv3,B<2,C<2,E^3,D>2,E^1,A>3,Dv1,D<1,F^2,A>1\n"]}} {"board": "AAooBCoooDBCEEoDBFoGHDoFIGHJJJIGHoKK", "size": 6, "moves": 6, "solution": ["Bv1", "H^2", "J<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: AAooBCoooDBCEEoDBFoGHDoFIGHJJJIGHoKK\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,H^2,J<1,Gv1,Bv1,A>4\n"]}} {"board": "ooBoooAABCooDoBCEEDFFCooGHooIIGHoJJJ", "size": 6, "moves": 5, "solution": ["C^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: ooBoooAABCooDoBCEEDFFCooGHooIIGHoJJJ\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,F>3,Bv2,Bv2,A>4\n"]}} {"board": "oooooBAAoooBCoooooCDEEFFCDoooooGGooo", "size": 6, "moves": 6, "solution": ["A>2", "D^2", "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: oooooBAAoooBCoooooCDEEFFCDoooooGGooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,D^2,E<1,F<1,Bv2,A>2\n"]}} {"board": "oooooBoAAooBooCoooooCDDDEECooFGGGooF", "size": 6, "moves": 5, "solution": ["A>2", "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: oooooBoAAooBooCoooooCDDDEECooFGGGooF\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,C^2,D<1,Cv2,A>1\n"]}} {"board": "BBBoCoooooCDAAoooDEoFooDEoFoooooFGGG", "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: BBBoCoooooCDAAoooDEoFooDEoFoooooFGGG\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": "AAooBoooCoBooDCEEEoDCooooooFFFoGGGoo", "size": 6, "moves": 6, "solution": ["Dv1", "G>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: AAooBoooCoBooDCEEEoDCooooooFFFoGGGoo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,G>2,Cv2,C<2,Bv1,A>4\n"]}} {"board": "AAooBooCDoBoECDFFFEoDGHIJKKGHIJLLGHI", "size": 6, "moves": 10, "solution": ["A>2", "C^1", "E^2", "J^2", "K<1", "L<1", "Ev2", "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: AAooBooCDoBoECDFFFEoDGHIJKKGHIJLLGHI\nOptimal length (moves): 10\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,C^1,E^2,J^2,K<1,L<1,Ev2,F<2,Dv1,A>2\n"]}} {"board": "oooooBAAoCoBoooCDDoEooFFoEGoHHoEGIII", "size": 6, "moves": 8, "solution": ["E^1", "G^1", "I<3", "Cv3", "D<1", "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: oooooBAAoCoBoooCDDoEooFFoEGoHHoEGIII\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,G^1,I<3,Cv3,D<1,F<1,Bv2,A>4\n"]}} {"board": "oooBooAAoBoCoooDDCooEEoooooooooooooo", "size": 6, "moves": 5, "solution": ["Cv1", "C<2", "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: oooBooAAoBoCoooDDCooEEoooooooooooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,C<2,E<1,Bv2,A>4\n"]}} {"board": "BAACoDBEoCoDoEFFFDGEHHHoGooIIIGooJJJ", "size": 6, "moves": 5, "solution": ["Dv1", "Dv2", "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: BAACoDBEoCoDoEFFFDGEHHHoGooIIIGooJJJ\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,Dv2,E<2,Cv1,A>3\n"]}} {"board": "AABCooooBCooooBDDEoooooEFFFooEGGGoHH", "size": 6, "moves": 6, "solution": ["Bv1", "H<1", "Ev1", "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: AABCooooBCooooBDDEoooooEFFFooEGGGoHH\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,H<1,Ev1,D>1,Bv1,A>4\n"]}} {"board": "oBBBoooooCCCooooooDAAEoFDGoEoFDGoEoF", "size": 6, "moves": 5, "solution": ["B<1", "C<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: oBBBoooooCCCooooooDAAEoFDGoEoFDGoEoF\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,C<3,E^3,F^3,A>3\n"]}} {"board": "AAoBCooDEBCFGDEHHFGDEooIoJJooIoooKKI", "size": 6, "moves": 7, "solution": ["J>2", "Dv2", "Dv2", "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: AAoBCooDEBCFGDEHHFGDEooIoJJooIoooKKI\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nJ>2,Dv2,Dv2,F<2,Bv1,Bv1,A>4\n"]}} {"board": "oooBooAAoBCDEooBCDEoFFFoEGHooooGHoII", "size": 6, "moves": 7, "solution": ["A>1", "Dv1", "D^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: oooBooAAoBCDEooBCDEoFFFoEGHooooGHoII\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,Dv1,D^2,F<2,Cv2,Cv1,A>3\n"]}} {"board": "ooooooBCooooBCoDDDBCooooAAEoFoooEoFo", "size": 6, "moves": 6, "solution": ["E^4", "A>2", "Dv2", "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: ooooooBCooooBCoDDDBCooooAAEoFoooEoFo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^4,A>2,Dv2,D<2,F^2,A>2\n"]}} {"board": "BCooooBCDEEEFoDGGGFoDooHFooooHAAoooH", "size": 6, "moves": 5, "solution": ["A>3", "Dv2", "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: BCooooBCDEEEFoDGGGFoDooHFooooHAAoooH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>3,Dv2,F<1,H^1,A>1\n"]}} {"board": "BoAAoCBDDooCoEoooCFEoGHHFooGooFooGII", "size": 6, "moves": 7, "solution": ["A<1", "Ev2", "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: BoAAoCBDDooCoEoooCFEoGHHFooGooFooGII\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<1,Ev2,F^3,G<3,Cv1,Cv1,A>3\n"]}} {"board": "AABCoDooBCoDoEECoDooooFFGHHHooGoooII", "size": 6, "moves": 6, "solution": ["E<1", "Bv1", "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: AABCoDooBCoDoEECoDooooFFGHHHooGoooII\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv1,F<3,Bv1,Bv1,A>4\n"]}} {"board": "oooBBBCCCoooooooooAAoDEFGHHDEFGooDEF", "size": 6, "moves": 5, "solution": ["B<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: oooBBBCCCoooooooooAAoDEFGHHDEFGooDEF\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<3,D^3,E^3,F^3,A>4\n"]}} {"board": "oBBBooCCCDDDoooooEoAAooEooFGGGooFHHo", "size": 6, "moves": 5, "solution": ["A>2", "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: oBBBooCCCDDDoooooEoAAooEooFGGGooFHHo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,F^2,G<1,Fv2,A>1\n"]}} {"board": "AAooBoooooBoooooBoooCoDoEoCoDoEoCFFo", "size": 6, "moves": 5, "solution": ["C^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: AAooBoooooBoooooBoooCoDoEoCoDoEoCFFo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,F<1,Dv1,Bv1,A>4\n"]}} {"board": "oBAAoCoBDooCooDEEEFoDoGHFIIoGHFoJJGo", "size": 6, "moves": 7, "solution": ["F^2", "I<1", "J<2", "Ev2", "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: oBAAoCoBDooCooDEEEFoDoGHFIIoGHFoJJGo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^2,I<1,J<2,Ev2,E<1,Cv1,A>2\n"]}} {"board": "oooooBooAAoBCCooooDDoEFFoooEGooHHEGo", "size": 6, "moves": 7, "solution": ["A<1", "E^3", "F<1", "Cv4", "E>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: oooooBooAAoBCCooooDDoEFFoooEGooHHEGo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<1,E^3,F<1,Cv4,E>1,Bv2,A>3\n"]}} {"board": "oooooBooAACBooooCooDoEEEoDoooooDoooo", "size": 6, "moves": 5, "solution": ["D^3", "E<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: oooooBooAACBooooCooDoEEEoDoooooDoooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^3,E<2,Cv2,Cv1,A>2\n"]}} {"board": "oooBooCCCBooooooDooEEEDFAAGooFooGHHF", "size": 6, "moves": 5, "solution": ["D^1", "F^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: oooBooCCCBooooooDooEEEDFAAGooFooGHHF\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,F^3,F>2,G^2,A>4\n"]}} {"board": "ooAAoBCCoooBooDDDBEFFGGGEHoIIIEHoJJJ", "size": 6, "moves": 6, "solution": ["C>1", "E^3", "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: ooAAoBCCoooBooDDDBEFFGGGEHoIIIEHoJJJ\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nC>1,E^3,F<1,G<1,Cv1,A>2\n"]}} {"board": "oooooooooooooBCCCooBooDEAAooDEooFFoE", "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: oooooooooooooBCCCooBooDEAAooDEooFFoE\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": "BooooCBDEEECBDoAACoDFGGoooFHHHoIIJJJ", "size": 6, "moves": 6, "solution": ["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: BooooCBDEEECBDoAACoDFGGoooFHHHoIIJJJ\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,H<1,I<1,J<1,Cv3,A>1\n"]}} {"board": "oBCCCDoBAAEDFoGGEoFHoIIJFHKKoJoHLLLo", "size": 6, "moves": 5, "solution": ["I<1", "Ev1", "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: oBCCCDoBAAEDFoGGEoFHoIIJFHKKoJoHLLLo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nI<1,Ev1,Jv1,Dv2,A>2\n"]}} {"board": "ooooBoAAooBoooCDDDEFCooGEFHHHGoooooo", "size": 6, "moves": 10, "solution": ["C^2", "D<1", "G^3", "E>1", "H>1", "Bv3", "D<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: ooooBoAAooBoooCDDDEFCooGEFHHHGoooooo\nOptimal length (moves): 10\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,D<1,G^3,E>1,H>1,Bv3,D<2,Bv2,Bv2,A>4\n"]}} {"board": "oBoooCoBDooCoBDAACooEoooFFEoooooEGGG", "size": 6, "moves": 5, "solution": ["D^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: oBoooCoBDooCoBDAACooEoooFFEoooooEGGG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E^1,G<1,Dv3,A>1\n"]}} {"board": "oooBCooAABCoDooEEEDooooooFFooooooooo", "size": 6, "moves": 5, "solution": ["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: oooBCooAABCoDooEEEDooooooFFooooooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,E<3,Cv2,Cv2,A>3\n"]}} {"board": "oooBBBoooCCCDDDoEooAAoEFoooooFoooGGF", "size": 6, "moves": 5, "solution": ["B<1", "C<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: oooBBBoooCCCDDDoEooAAoEFoooooFoooGGF\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,C<2,E^1,F^3,A>3\n"]}} {"board": "oBCDDDoBCAAEFBoooEFGGGoEFooHIIoooHoo", "size": 6, "moves": 6, "solution": ["F^2", "G<1", "H^2", "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: oBCDDDoBCAAEFBoooEFGGGoEFooHIIoooHoo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^2,G<1,H^2,I<1,Fv1,A>1\n"]}} {"board": "AABoooooBoooCCBoooDDDooEoooooEoooooE", "size": 6, "moves": 8, "solution": ["E^3", "E>3", "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: AABoooooBoooCCBoooDDDooEoooooEoooooE\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^3,E>3,Bv1,A>3,C^1,E<1,Cv1,A>1\n"]}} {"board": "BCCCooBooAADoEEEoDFGGGoDFHHHIIoJJKKo", "size": 6, "moves": 5, "solution": ["F^1", "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: BCCCooBooAADoEEEoDFGGGoDFHHHIIoJJKKo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,H<1,I<1,Dv1,A>1\n"]}} {"board": "AABoCooDBoCoEDooCoEDFFFGoHHoIGJJooIo", "size": 6, "moves": 6, "solution": ["Bv1", "A>2", "C^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: AABoCooDBoCoEDooCoEDFFFGoHHoIGJJooIo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2,C^1,F<1,Cv1,A>2\n"]}} {"board": "oooBBBooooooooooCooooDCEoAADFEoooDFE", "size": 6, "moves": 6, "solution": ["B<2", "C^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: oooBBBooooooooooCooooDCEoAADFEoooDFE\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,C^2,D^2,E^2,F^2,A>3\n"]}} {"board": "ooooooBoooCoBDooCoBDoEEEoDAAFGooooFG", "size": 6, "moves": 6, "solution": ["C^1", "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: ooooooBoooCoBDooCoBDoEEEoDAAFGooooFG\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^2,E<2,F^2,G^2,A>2\n"]}} {"board": "ooBooooCBDDDoCBEEEoooAAFoooooFoooooF", "size": 6, "moves": 5, "solution": ["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: ooBooooCBDDDoCBEEEoooAAFoooooFoooooF\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv3,C<1,D<1,F^3,A>1\n"]}} {"board": "oooBBBoCCCoooooooDEEEFoDoAAFGDoooFGo", "size": 6, "moves": 5, "solution": ["C<1", "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: oooBBBoCCCoooooooDEEEFoDoAAFGDoooFGo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,D^1,F^2,G^2,A>3\n"]}} {"board": "BooooCBooooCAAoooDEEFGoDooFGoDooFGHH", "size": 6, "moves": 7, "solution": ["F^1", "G^1", "H<4", "Dv1", "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: BooooCBooooCAAoooDEEFGoDooFGoDooFGHH\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,G^1,H<4,Dv1,Dv1,Dv1,A>4\n"]}} {"board": "oooBBBooooooAACDooooCDEEooCFFGHHHooG", "size": 6, "moves": 7, "solution": ["B<3", "D^2", "E<1", "G^1", "H>3", "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: oooBBBooooooAACDooooCDEEooCFFGHHHooG\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<3,D^2,E<1,G^1,H>3,Dv1,A>4\n"]}} {"board": "oooooBCDAAoBCDEoooFoEGGGFHEoooFHoIII", "size": 6, "moves": 5, "solution": ["A>1", "E^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: oooooBCDAAoBCDEoooFoEGGGFHEoooFHoIII\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,E^2,G<1,Cv2,A>1\n"]}} {"board": "ooooooBBBCDEAAoCDEFGoHHEFGIJJoFoIKKK", "size": 6, "moves": 6, "solution": ["C^1", "D^1", "I^1", "K<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: ooooooBBBCDEAAoCDEFGoHHEFGIJJoFoIKKK\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^1,I^1,K<1,Ev2,A>4\n"]}} {"board": "ooBBBoooCoooDECFFFDEoGoHDooGIHoAAGIH", "size": 6, "moves": 8, "solution": ["Cv2", "Cv1", "C^2", "D<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: ooBBBoooCoooDECFFFDEoGoHDooGIHoAAGIH\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,Cv1,C^2,D<3,G^1,H^1,I^1,A>3\n"]}} {"board": "ooBoCoAABoCDoooooDoEEoooFoooooFooGGG", "size": 6, "moves": 5, "solution": ["Cv2", "Cv1", "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: ooBoCoAABoCDoooooDoEEoooFoooooFooGGG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,Cv1,E<1,Bv2,A>4\n"]}} {"board": "ooBoCoooBoCDAABEoDFGGEoDFooHHoFooIII", "size": 6, "moves": 8, "solution": ["E^2", "G>2", "Bv3", "A>3", "F^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: ooBoCoooBoCDAABEoDFGGEoDFooHHoFooIII\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^2,G>2,Bv3,A>3,F^1,I<1,Dv2,A>1\n"]}} {"board": "AAooBoooooBoooCCBooDoEEEoDooFooDooFo", "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: AAooBoooooBoooCCBooDoEEEoDooFooDooFo\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": "ooBoooooBoooooBCCCoooooooAADoooooDoo", "size": 6, "moves": 7, "solution": ["A<1", "Bv3", "B<3", "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: ooBoooooBoooooBCCCoooooooAADoooooDoo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<1,Bv3,B<3,D^4,C>3,D^2,A>4\n"]}} {"board": "ooBoooooBoooooooCDoEEECDAAFoCDooFGGo", "size": 6, "moves": 5, "solution": ["C^2", "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: ooBoooooBoooooooCDoEEECDAAFoCDooFGGo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,D^2,E>2,F^2,A>4\n"]}} {"board": "oooooooooBBBooCCCoAAooDEFFooDEGGGoDE", "size": 6, "moves": 5, "solution": ["B<2", "C<1", "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: oooooooooBBBooCCCoAAooDEFFooDEGGGoDE\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,C<1,D^3,E^3,A>4\n"]}} {"board": "BooCCCBoDDDEoooooEooFoooAAFoGoooFoGo", "size": 6, "moves": 5, "solution": ["Ev1", "D>1", "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: BooCCCBoDDDEoooooEooFoooAAFoGoooFoGo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,D>1,F^2,G^2,A>4\n"]}} {"board": "ooBoCoAABDCoooBDoooEoDFFoEoooooEoGGG", "size": 6, "moves": 9, "solution": ["D^1", "E^1", "F<2", "G<2", "Dv4", "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: ooBoCoAABDCoooBDoooEoDFFoEoooooEoGGG\nOptimal length (moves): 9\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E^1,F<2,G<2,Dv4,E>2,Bv2,Bv2,A>4\n"]}} {"board": "ooooooBooooCBooooCooDEoFooDEoFAADEoF", "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: ooooooBooooCBooooCooDEoFooDEoFAADEoF\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": "BCDoEFBCDoEFBCoAAFoGGHHHooooIIooJJJo", "size": 6, "moves": 5, "solution": ["G<1", "H<1", "I<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: BCDoEFBCDoEFBCoAAFoGGHHHooooIIooJJJo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,H<1,I<1,Fv3,A>1\n"]}} {"board": "oooBBBooooooooCCCDAAoEoDFooEooFooEoo", "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: oooBBBooooooooCCCDAAoEoDFooEooFooEoo\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": "oBBBCoAAooCooDEFFGHDEooGHIIJJJHooKKK", "size": 6, "moves": 7, "solution": ["A>1", "H^2", "I<1", "Fv1", "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: oBBBCoAAooCooDEFFGHDEooGHIIJJJHooKKK\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,H^2,I<1,Fv1,F<1,Cv2,A>3\n"]}} {"board": "oooBoooAABCooDDBCEooFFCEooGGoEHHHIII", "size": 6, "moves": 5, "solution": ["Cv1", "F<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: oooBoooAABCooDDBCEooFFCEooGGoEHHHIII\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,F<1,G<1,Bv2,A>3\n"]}} {"board": "ooBCCCooBooDEEEooDooFGGGooFHoooAAHoo", "size": 6, "moves": 7, "solution": ["A<1", "Fv1", "F<3", "H^3", "G>3", "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: ooBCCCooBooDEEEooDooFGGGooFHoooAAHoo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<1,Fv1,F<3,H^3,G>3,H^1,A>4\n"]}} {"board": "AABooCDoBEECDoBooCoFFGGGHIIIoJHKKKoJ", "size": 6, "moves": 7, "solution": ["F<1", "Bv1", "A>3", "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: AABooCDoBEECDoBooCoFFGGGHIIIoJHKKKoJ\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Bv1,A>3,D^1,G<1,Cv1,A>1\n"]}} {"board": "AAoBoooooBooCooBooCooDDDCoEFooooEFoo", "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: AAoBoooooBooCooBooCooDDDCoEFooooEFoo\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": "ooAABCooooBCooDoBCooDEEEFFFoGGoHHIIo", "size": 6, "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 (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAABCooooBCooDoBCooDEEEFFFoGGoHHIIo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E<2,Bv1,Bv1,A>2\n"]}} {"board": "AABooCDoBEFCDGGEFoooooFoooHHoooooooo", "size": 6, "moves": 5, "solution": ["Cv1", "Cv2", "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: AABooCDoBEFCDGGEFoooooFoooHHoooooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Cv2,F<1,Bv1,A>4\n"]}} {"board": "AAoooBCooooBCDDEEEoooFoooGHFoooGHFoo", "size": 6, "moves": 5, "solution": ["Cv2", "C<1", "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: AAoooBCooooBCDDEEEoooFoooGHFoooGHFoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,C<1,D<1,Bv1,A>4\n"]}} {"board": "AAoBCDoEoBCDFEGoCHFIGJJHFIoKKKoILLoo", "size": 6, "moves": 8, "solution": ["Bv1", "G^1", "J<1", "Bv1", "K<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: AAoBCDoEoBCDFEGoCHFIGJJHFIoKKKoILLoo\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,G^1,J<1,Bv1,K<1,Hv1,Bv1,A>4\n"]}} {"board": "AABoCDEoBoCDEoFGGDEHFoIIoHFJJJoHoKKK", "size": 6, "moves": 8, "solution": ["Ev2", "Ev1", "E<3", "Bv1", "Bv1", "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: AABoCDEoBoCDEoFGGDEHFoIIoHFJJJoHoKKK\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv2,Ev1,E<3,Bv1,Bv1,I<1,Bv1,A>4\n"]}} {"board": "BBBoCoooooCoAAooCooooDDoooEFFoooEGGo", "size": 6, "moves": 7, "solution": ["D<3", "E^2", "F<3", "Dv1", "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: BBBoCoooooCoAAooCooooDDoooEFFoooEGGo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<3,E^2,F<3,Dv1,G<1,Cv3,A>4\n"]}} {"board": "BBBCCCooooooAAoooDoooEoDoooEFFoooooo", "size": 6, "moves": 5, "solution": ["E^1", "F<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: BBBCCCooooooAAoooDoooEoDoooEFFoooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,F<3,Dv1,Dv1,A>4\n"]}} {"board": "ooBCCCooBDoooAADooEEoFFFoGoHHooGoIIo", "size": 6, "moves": 5, "solution": ["A<1", "Bv3", "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: ooBCCCooBDoooAADooEEoFFFoGoHHooGoIIo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<1,Bv3,B<3,C^1,A>4\n"]}} {"board": "oooooBoooooBCAAooBCooDEECooDoooooDoo", "size": 6, "moves": 5, "solution": ["D^3", "E<3", "Bv3", "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: oooooBoooooBCAAooBCooDEECooDoooooDoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^3,E<3,Bv3,Bv3,A>3\n"]}} {"board": "ooooooAAoBoCooDBoCooDEEEFooGGHFooooH", "size": 6, "moves": 5, "solution": ["Dv2", "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: ooooooAAoBoCooDBoCooDEEEFooGGHFooooH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv2,D<3,Bv1,Bv1,A>4\n"]}} {"board": "oBBBoooAAoCoooDDCoEEEoCooFGGGooFooHH", "size": 6, "moves": 8, "solution": ["A>1", "C^1", "E>2", "F^3", "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: oBBBoooAAoCoooDDCoEEEoCooFGGGooFooHH\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,C^1,E>2,F^3,F<1,G<1,Cv2,A>2\n"]}} {"board": "oooooBooooCBDDDoCEAAoFCEoooFGGoooFHH", "size": 6, "moves": 6, "solution": ["C^1", "F^3", "G<1", "H<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: oooooBooooCBDDDoCEAAoFCEoooFGGoooFHH\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,F^3,G<1,H<1,Fv2,A>4\n"]}} {"board": "AAooBooCDDBooCoEEEFoGGGHFIoJJHFIKKKH", "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: AAooBooCDDBooCoEEEFoGGGHFIoJJHFIKKKH\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": "ooBCooAABCDoEoooDFEGGGDFooHHoFoooIIo", "size": 6, "moves": 12, "solution": ["D^1", "F^2", "G>2", "H<2", "Bv4", "A>1", "E^1", "F<3", "Bv2", "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: ooBCooAABCDoEoooDFEGGGDFooHHoFoooIIo\nOptimal length (moves): 12\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,F^2,G>2,H<2,Bv4,A>1,E^1,F<3,Bv2,Bv2,Bv2,A>3\n"]}} {"board": "oooooooooBBBAAooCoooDoCoooDoCoooDoEE", "size": 6, "moves": 5, "solution": ["D^1", "E<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: oooooooooBBBAAooCoooDoCoooDoCoooDoEE\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E<4,Cv1,Cv1,A>4\n"]}} {"board": "ooooooooooooAAoBoooCCBoooDoBoooDoEEE", "size": 6, "moves": 6, "solution": ["B^2", "C>3", "D^1", "E<3", "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: ooooooooooooAAoBoooCCBoooDoBoooDoEEE\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^2,C>3,D^1,E<3,Bv3,A>4\n"]}} {"board": "BBBoCoDDDECoAAoEooFGGEooFoHHIIFooJJJ", "size": 6, "moves": 6, "solution": ["A>1", "F^1", "H<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: BBBoCoDDDECoAAoEooFGGEooFoHHIIFooJJJ\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,F^1,H<1,J<3,Ev2,A>3\n"]}} {"board": "BoCoooBDCEEEoDoooooDooFGooAAFGooooFG", "size": 6, "moves": 6, "solution": ["Cv2", "Cv1", "C<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: BoCoooBDCEEEoDoooooDooFGooAAFGooooFG\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,Cv1,C<2,F^2,G^2,A>2\n"]}} {"board": "ooooBoooooBooAAoBoooCCooooDEEEooDooo", "size": 6, "moves": 6, "solution": ["A<1", "C<2", "D^4", "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: ooooBoooooBooAAoBoooCCooooDEEEooDooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<1,C<2,D^4,E<2,Cv3,A>4\n"]}} {"board": "BBBCCCoDEFFFoDEooGoDEoHGoAAoHGoooIIo", "size": 6, "moves": 6, "solution": ["H^1", "A>2", "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: BBBCCCoDEFFFoDEooGoDEoHGoAAoHGoooIIo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nH^1,A>2,Ev1,E<1,H^1,A>1\n"]}} {"board": "oooBoooooBooAAoBoooooooooCoDDooCoEEE", "size": 6, "moves": 5, "solution": ["C^1", "D>1", "E<3", "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: oooBoooooBooAAoBoooooooooCoDDooCoEEE\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D>1,E<3,Bv3,A>4\n"]}} {"board": "ooBBBCoDDDoCoooooCAAoEFoGGoEFooooEFo", "size": 6, "moves": 5, "solution": ["B<2", "D<1", "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: ooBBBCoDDDoCoooooCAAoEFoGGoEFooooEFo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,D<1,E^3,F^3,A>4\n"]}} {"board": "oooooooBCoooDBCoooDBCEEEooAAFoooGGFo", "size": 6, "moves": 5, "solution": ["B^1", "C^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: oooooooBCoooDBCoooDBCEEEooAAFoooGGFo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,C^1,E<2,F^2,A>2\n"]}} {"board": "AAoBoCDDEBoCooEoFFGHooooGHoIIIGHJJJo", "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: AAoBoCDDEBoCooEoFFGHooooGHoIIIGHJJJo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv2,E<3,Bv1,Bv1,A>4\n"]}} {"board": "oooBoooooBooAAoBoooooCCCoooDDDooEEoo", "size": 6, "moves": 5, "solution": ["C<3", "D<3", "E<1", "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: oooBoooooBooAAoBoooooCCCoooDDDooEEoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<3,D<3,E<1,Bv3,A>4\n"]}} {"board": "AAoBCoooDBCoooDoCoEoDoFFEGGoooHHHIII", "size": 6, "moves": 7, "solution": ["Bv1", "C^1", "E^2", "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: AAoBCoooDBCoooDoCoEoDoFFEGGoooHHHIII\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,C^1,E^2,F<4,Bv1,Bv1,A>4\n"]}} {"board": "oooooooAAoBoooooBoCDooBoCDoEEECDooFF", "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: oooooooAAoBoooooBoCDooBoCDoEEECDooFF\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": "oooBooooCBDEAACoDEFGooDEFGoHHooGIIIo", "size": 6, "moves": 8, "solution": ["C^1", "Ev2", "A>2", "F^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: oooBooooCBDEAACoDEFGooDEFGoHHooGIIIo\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,Ev2,A>2,F^1,H<1,I<1,Dv2,A>2\n"]}} {"board": "ooAABCDDooBCoEEoFFooooGHooIIGHoJJooH", "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: ooAABCDDooBCoEEoFFooooGHooIIGHoJJooH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,F<2,Bv1,Bv1,A>2\n"]}} {"board": "oBooCooBooCooAAoCoooDoooooDoooooDoEE", "size": 6, "moves": 6, "solution": ["A<1", "D^1", "E<4", "Cv3", "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: oBooCooBooCooAAoCoooDoooooDoooooDoEE\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<1,D^1,E<4,Cv3,Cv1,A>4\n"]}} {"board": "oooBooAAoBooooooooCoDDDoCEEFFFCooooo", "size": 6, "moves": 5, "solution": ["A>1", "C^3", "D<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: oooBooAAoBooooooooCoDDDoCEEFFFCooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,C^3,D<2,Cv2,A>3\n"]}} {"board": "oBBBCooAAoCoDoEEFFDoGGHHoIooJJoIoKKK", "size": 6, "moves": 7, "solution": ["D^2", "E<2", "F<2", "G<2", "H<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: oBBBCooAAoCoDoEEFFDoGGHHoIooJJoIoKKK\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,E<2,F<2,G<2,H<2,Dv2,A>3\n"]}} {"board": "ooAAoBoooooBoooCDDoooCoooEEEoooFFooo", "size": 6, "moves": 5, "solution": ["E<1", "Cv1", "C<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: ooAAoBoooooBoooCDDoooCoooEEEoooFFooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Cv1,C<1,Bv1,A>2\n"]}} {"board": "ooooBoCAAoBoCoDoooCoDEEoooDFoooooFoo", "size": 6, "moves": 8, "solution": ["Cv1", "A<1", "D^2", "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: ooooBoCAAoBoCoDoooCoDEEoooDFoooooFoo\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A<1,D^2,E<1,Cv4,D>1,Bv2,A>4\n"]}} {"board": "AAooBoCCoDBooooDEEoooFFFoGGGooHHoIII", "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: AAooBoCCoDBooooDEEoooFFFoGGGooHHoIII\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E<3,Bv1,Bv1,A>4\n"]}} {"board": "oooBBBoCoooooCDDDEooooFEGoAAFEGoooFo", "size": 6, "moves": 5, "solution": ["C^1", "D<1", "E^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: oooBBBoCoooooCDDDEooooFEGoAAFEGoooFo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D<1,E^1,F^2,A>2\n"]}} {"board": "oBBBCDooooCDAAEooDFoEGHHFooGooFoIIIo", "size": 6, "moves": 6, "solution": ["B<1", "Ev1", "G^3", "H<1", "Ev3", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBBBCDooooCDAAEooDFoEGHHFooGooFoIIIo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,Ev1,G^3,H<1,Ev3,A>4\n"]}} {"board": "BBBoCooDDDCoAAooEooFoGEooFoGEooooGHH", "size": 6, "moves": 5, "solution": ["G^1", "H<3", "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: BBBoCooDDDCoAAooEooFoGEooFoGEooooGHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nG^1,H<3,Ev1,Ev1,A>4\n"]}} {"board": "oooooooBBBoCAADEoCooDEFooGGEFHooooFH", "size": 6, "moves": 5, "solution": ["C^1", "Ev1", "G<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: oooooooBBBoCAADEoCooDEFooGGEFHooooFH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,Ev1,G<1,Dv1,A>4\n"]}} {"board": "BoCooDBECFoDBEoFGoooAAGHooooGHoIIJJJ", "size": 6, "moves": 5, "solution": ["G^2", "I<1", "J<1", "Hv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoCooDBECFoDBEoFGoooAAGHooooGHoIIJJJ\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nG^2,I<1,J<1,Hv1,A>2\n"]}} {"board": "BCCCoDBAAEoDoooEoDFGHoIIFGHJJooGHoKK", "size": 6, "moves": 9, "solution": ["Ev1", "A>2", "G^2", "H^2", "J<2", "Gv2", "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: BCCCoDBAAEoDoooEoDFGHoIIFGHJJooGHoKK\nOptimal length (moves): 9\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,A>2,G^2,H^2,J<2,Gv2,H<1,Dv2,A>1\n"]}} {"board": "oooooBooAAoBoooCCBoDDooooEFFGGoEoooo", "size": 6, "moves": 6, "solution": ["D>1", "E^2", "F<1", "G<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: oooooBooAAoBoooCCBoDDooooEFFGGoEoooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nD>1,E^2,F<1,G<1,Bv2,A>2\n"]}} {"board": "ooBoooooBoooAABoooCCCooDooEEoDFFoooD", "size": 6, "moves": 9, "solution": ["D^3", "D>3", "E<2", "Bv3", "A>3", "C^3", "D<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: ooBoooooBoooAABoooCCCooDooEEoDFFoooD\nOptimal length (moves): 9\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^3,D>3,E<2,Bv3,A>3,C^3,D<1,Cv3,A>1\n"]}} {"board": "oooBooCooBooCDoEEECDoFFFoDGoHIAAGoHI", "size": 6, "moves": 6, "solution": ["D^2", "G^3", "G<2", "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: oooBooCooBooCDoEEECDoFFFoDGoHIAAGoHI\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,G^3,G<2,H^1,I^1,A>4\n"]}} {"board": "oAAoBCoDooBCEDoFFCEDoGGGHHIIJJKKoLLL", "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: oAAoBCoDooBCEDoFFCEDoGGGHHIIJJKKoLLL\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Bv1,G<1,Bv1,A>3\n"]}} {"board": "oooooBoooooBooAAoBooCoooDoCEEEDoCooo", "size": 6, "moves": 5, "solution": ["A>1", "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: oooooBoooooBooAAoBooCoooDoCEEEDoCooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,C^2,E<1,Bv3,A>1\n"]}} {"board": "oooooBooAAoBoCDEoBoCDEFFooDoGGooooHH", "size": 6, "moves": 7, "solution": ["A>1", "D^1", "G<3", "Ev2", "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: oooooBooAAoBoCDEoBoCDEFFooDoGGooooHH\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,D^1,G<3,Ev2,E<1,Bv2,A>1\n"]}} {"board": "ooBBBooCCCDoAAoEDoFooEooFooEooFoGGGo", "size": 6, "moves": 6, "solution": ["Dv2", "A>1", "E^1", "G<2", "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: ooBBBooCCCDoAAoEDoFooEooFooEooFoGGGo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv2,A>1,E^1,G<2,Ev1,A>3\n"]}} {"board": "ooooBoooooBooAAoBooCCCoooDoooooDoEEE", "size": 6, "moves": 7, "solution": ["A>1", "C>1", "D^3", "D<1", "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: ooooBoooooBooAAoBooCCCoooDoooooDoEEE\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,C>1,D^3,D<1,E<2,Bv3,A>2\n"]}} {"board": "oooBBBoCoDDDoCoooEoooFGEAAoFGEoHHFGo", "size": 6, "moves": 6, "solution": ["Cv1", "C<3", "E^1", "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: oooBBBoCoDDDoCoooEoooFGEAAoFGEoHHFGo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,C<3,E^1,F^2,G^2,A>4\n"]}} {"board": "oBooCooBooCoDoAACEDFoGGEDFHIIEoFHJJJ", "size": 6, "moves": 11, "solution": ["Dv1", "A<2", "H^4", "A>2", "G^1", "H<1", "I<1", "J<2", "Dv3", "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: oBooCooBooCoDoAACEDFoGGEDFHIIEoFHJJJ\nOptimal length (moves): 11\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,A<2,H^4,A>2,G^1,H<1,I<1,J<2,Dv3,Ev1,A>2\n"]}} {"board": "oooooBooAAoBCCDEEEooDoFFGGDHHHoooIIo", "size": 6, "moves": 5, "solution": ["Dv1", "D<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: oooooBooAAoBCCDEEEooDoFFGGDHHHoooIIo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,D<1,F<1,Bv2,A>2\n"]}} {"board": "oAAooBCDooEBCDFFEGCDooEGooHHoGooIIJJ", "size": 6, "moves": 5, "solution": ["I<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: oAAooBCDooEBCDFFEGCDooEGooHHoGooIIJJ\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nI<1,J<1,Gv1,Bv1,A>3\n"]}} {"board": "oBBBooooCCCoooDDDooAAEoooFFEGGHHoEoo", "size": 6, "moves": 5, "solution": ["B<1", "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: oBBBooooCCCoooDDDooAAEoooFFEGGHHoEoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,C<2,D<2,E^3,A>3\n"]}} {"board": "AAoBoCooDBoCooDBoCoEDoFFoEooGGHHoIIo", "size": 6, "moves": 7, "solution": ["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: AAoBoCooDBoCooDBoCoEDoFFoEooGGHHoIIo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E^2,F<4,Bv1,Bv1,Bv1,A>4\n"]}} {"board": "ooBooCooBAACooBDDDEFFoooEoGGooEoooHH", "size": 6, "moves": 6, "solution": ["F>2", "G>1", "Bv3", "C<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: ooBooCooBAACooBDDDEFFoooEoGGooEoooHH\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nF>2,G>1,Bv3,C<1,Bv2,A>1\n"]}} {"board": "BCDDDEBCAAoEBCFGGGHHFoooIoFJJJIKKKoo", "size": 6, "moves": 5, "solution": ["K>2", "Fv1", "F<1", "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: BCDDDEBCAAoEBCFGGGHHFoooIoFJJJIKKKoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nK>2,Fv1,F<1,Ev2,A>2\n"]}} {"board": "oooBCDoAABCDoooBCoEooFFFEGGooHEooIIH", "size": 6, "moves": 6, "solution": ["E^3", "F<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: oooBCDoAABCDoooBCoEooFFFEGGooHEooIIH\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^3,F<3,Cv2,Cv2,Cv2,A>3\n"]}} {"board": "ooBCoDoEBCoDoEAAoDoEooooFoGGGoFHHHII", "size": 6, "moves": 5, "solution": ["F^1", "H<1", "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: ooBCoDoEBCoDoEAAoDoEooooFoGGGoFHHHII\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,H<1,I<1,Dv3,A>2\n"]}} {"board": "ooAABCoDDoBCoEEFFoGGoHIJKLLHIJKooHIJ", "size": 6, "moves": 5, "solution": ["Cv1", "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: ooAABCoDDoBCoEEFFoGGoHIJKLLHIJKooHIJ\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,E<1,F<1,Bv1,A>2\n"]}} {"board": "ooooBooAAoBoooooCCoDDEFGHooEFGHooIIG", "size": 6, "moves": 5, "solution": ["C<2", "I<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: ooooBooAAoBoooooCCoDDEFGHooEFGHooIIG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,I<1,Fv1,Bv2,A>3\n"]}} {"board": "ooAAoBooCoDBEECoDBFoCGGGFHIIoJFHoKKJ", "size": 6, "moves": 5, "solution": ["A>1", "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: ooAAoBooCoDBEECoDBFoCGGGFHIIoJFHoKKJ\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,C^1,G<1,Cv1,A>1\n"]}} {"board": "BooCCCBooooDBooooDoAAEFDGGoEFoooooFo", "size": 6, "moves": 5, "solution": ["C<2", "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: BooCCCBooooDBooooDoAAEFDGGoEFoooooFo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,D^1,E^2,F^3,A>3\n"]}} {"board": "oooBooAAoBoooCooDooCEEDooFFFDooGGooo", "size": 6, "moves": 7, "solution": ["D^2", "E>2", "F<1", "Bv4", "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: oooBooAAoBoooCooDooCEEDooFFFDooGGooo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,E>2,F<1,Bv4,D<2,Bv2,A>4\n"]}} {"board": "ooooooBBBCCCooAAoDoooEoDooFEoDooFEGG", "size": 6, "moves": 7, "solution": ["A<1", "E^1", "F^1", "G<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: ooooooBBBCCCooAAoDoooEoDooFEoDooFEGG\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<1,E^1,F^1,G<3,Dv1,Dv1,A>3\n"]}} {"board": "oBBBCoDDDoCEooAACEoFGGoooFooHHoFIIIo", "size": 6, "moves": 6, "solution": ["E^1", "F^1", "H<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: oBBBCoDDDoCEooAACEoFGGoooFooHHoFIIIo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,F^1,H<2,I<1,Cv3,A>2\n"]}} {"board": "BBBooooAAoCooooDCoEooDFFEooDooEGGGoo", "size": 6, "moves": 5, "solution": ["D^2", "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: BBBooooAAoCooooDCoEooDFFEooDooEGGGoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,F<3,Cv2,Cv1,A>3\n"]}} {"board": "oBBBoooCDAAEoCDooEFCDGHHFooGooFooGII", "size": 6, "moves": 11, "solution": ["B<1", "Cv1", "Cv1", "A<2", "G^3", "H<1", "I<1", "Dv3", "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: oBBBoooCDAAEoCDooEFCDGHHFooGooFooGII\nOptimal length (moves): 11\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,Cv1,Cv1,A<2,G^3,H<1,I<1,Dv3,G>1,Cv2,A>3\n"]}} {"board": "BBBooooooCCCooDEEEFoDGHoFooGHooAAGHo", "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: BBBooooooCCCooDEEEFoDGHoFooGHooAAGHo\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": "ooBoooAABCDoooBCDooooEEEooFFooooooGG", "size": 6, "moves": 8, "solution": ["E<3", "F<2", "G<3", "Cv3", "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: ooBoooAABCDoooBCDooooEEEooFFooooooGG\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<3,F<2,G<3,Cv3,Cv3,C>3,Bv2,A>4\n"]}} {"board": "BAAoCoBoooCooDDoCooooEFFoooEoooooEoo", "size": 6, "moves": 5, "solution": ["E^3", "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: BAAoCoBoooCooDDoCooooEFFoooEoooooEoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^3,F<3,Cv1,Cv1,A>3\n"]}} {"board": "oooBCooAABCoDDooCooooEEEooooFFoooooo", "size": 6, "moves": 5, "solution": ["E<3", "Bv2", "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: oooBCooAABCoDDooCooooEEEooooFFoooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<3,Bv2,F<2,Bv2,A>3\n"]}} {"board": "oBBBooooooCDoAAoCDoEEECDooFFGGoHHoII", "size": 6, "moves": 7, "solution": ["F<2", "G<2", "H<1", "I<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: oBBBooooooCDoAAoCDoEEECDooFFGGoHHoII\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<2,G<2,H<1,I<2,Cv2,Cv2,A>3\n"]}} {"board": "oBAACDoBooCDooEEFFGGGHHooooooooooIIo", "size": 6, "moves": 5, "solution": ["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: oBAACDoBooCDooEEFFGGGHHooooooooooIIo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<2,F<2,Cv1,Cv1,A>2\n"]}} {"board": "ooooooooooBooAAoBooCooBooCoDDDoCoooo", "size": 6, "moves": 5, "solution": ["A>1", "C^2", "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: ooooooooooBooAAoBooCooBooCoDDDoCoooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,C^2,D<2,Cv2,A>2\n"]}} {"board": "oooBBBooCCCooooooDAAoEoDoooEoDoooEoo", "size": 6, "moves": 5, "solution": ["B<3", "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: oooBBBooCCCooooooDAAoEoDoooEoDoooEoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<3,C<2,D^2,E^3,A>4\n"]}} {"board": "oooooBooCooBAACooBooCDDDoEoooooEoFFo", "size": 6, "moves": 6, "solution": ["Cv2", "A>3", "C^3", "D<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: oooooBooCooBAACooBooCDDDoEoooooEoFFo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,A>3,C^3,D<1,Cv3,A>1\n"]}} {"board": "oooooooooooBoooAABCDDooBCEEFFFCooooo", "size": 6, "moves": 5, "solution": ["C^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: oooooooooooBoooAABCDDooBCEEFFFCooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,E<1,F<1,Cv2,A>1\n"]}} {"board": "oBBBooooCoDoAACoDoEoCFFGEHHHoGEooIIG", "size": 6, "moves": 9, "solution": ["D^1", "G^2", "H>2", "Dv2", "A>3", "F^2", "H<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: oBBBooooCoDoAACoDoEoCFFGEHHHoGEooIIG\nOptimal length (moves): 9\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,G^2,H>2,Dv2,A>3,F^2,H<1,Ev2,A>1\n"]}} {"board": "BAACoDBooCoDoEoCooFEoGGHFoooIHFoJJIH", "size": 6, "moves": 5, "solution": ["Dv1", "E^1", "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: BAACoDBooCoDoEoCooFEoGGHFoooIHFoJJIH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,E^1,G<2,Cv1,A>3\n"]}} {"board": "BooooCBoAADCooooDCooEoDoooEoFFGGEooo", "size": 6, "moves": 8, "solution": ["Bv2", "A<2", "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: BooooCBoAADCooooDCooEoDoooEoFFGGEooo\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A<2,E^2,F<4,Bv2,Bv1,Bv1,A>4\n"]}} {"board": "BoAAoCBDDooCBoEEoCFFGHHHooGoooIIIoJJ", "size": 6, "moves": 6, "solution": ["D>2", "E>1", "G^2", "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: BoAAoCBDDooCBoEEoCFFGHHHooGoooIIIoJJ\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nD>2,E>1,G^2,H<1,Cv1,A>2\n"]}} {"board": "oooBoooAABoCoooBoCoooooDoEoooDoEooFF", "size": 6, "moves": 5, "solution": ["Bv2", "F<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: oooBoooAABoCoooBoCoooooDoEoooDoEooFF\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,F<1,Dv1,Bv1,A>3\n"]}} {"board": "ooooBoooooBoooAABCooDooCooDEECoooFFo", "size": 6, "moves": 7, "solution": ["A<2", "Cv1", "C^3", "E<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: ooooBoooooBoooAABCooDooCooDEECoooFFo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<2,Cv1,C^3,E<1,F<1,Cv3,A>4\n"]}} {"board": "ooAABoCDooBoCDEEBooDoFGGHHHFIIooJJJo", "size": 6, "moves": 5, "solution": ["J<2", "Fv1", "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: ooAABoCDooBoCDEEBooDoFGGHHHFIIooJJJo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nJ<2,Fv1,F<2,Bv1,A>2\n"]}} {"board": "ooooBoooooBoCAAoBoCDooEEoDoFFFoDoooo", "size": 6, "moves": 6, "solution": ["A>1", "D^2", "E<2", "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: ooooBoooooBoCAAoBoCDooEEoDoFFFoDoooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,D^2,E<2,F<2,Bv3,A>2\n"]}} {"board": "oBoCCCoBooDEFBooDEFGGGoHIoooJHIAAoJH", "size": 6, "moves": 5, "solution": ["C<1", "E^1", "H^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: oBoCCCoBooDEFBooDEFGGGoHIoooJHIAAoJH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,E^1,H^1,J^1,A>3\n"]}} {"board": "AAooBCoDEoBCoDEFFCGooHHHGooIIIGooJJo", "size": 6, "moves": 6, "solution": ["Ev3", "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: AAooBCoDEoBCoDEFFCGooHHHGooIIIGooJJo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv3,E<1,Bv1,G<1,Bv1,A>4\n"]}} {"board": "AAooBooCooBooCDDEEFoGHHHFoGoooooGIII", "size": 6, "moves": 5, "solution": ["Cv2", "C<2", "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: AAooBooCooBooCDDEEFoGHHHFoGoooooGIII\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,C<2,D<2,Bv1,A>4\n"]}} {"board": "oooooooAAooBooCCCBoooDEEFFFDGooHHDGo", "size": 6, "moves": 6, "solution": ["C<2", "D^3", "E<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: oooooooAAooBooCCCBoooDEEFFFDGooHHDGo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,D^3,E<3,Bv2,Bv1,A>3\n"]}} {"board": "AABooCDEBooCDEBoFFDEGGGoooHoIIJJHooo", "size": 6, "moves": 5, "solution": ["F<1", "Cv1", "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: AABooCDEBooCDEBoFFDEGGGoooHoIIJJHooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Cv1,G>1,Bv1,A>4\n"]}} {"board": "ooooooooBCCCooBDDDAABoEooooFEooooFGG", "size": 6, "moves": 6, "solution": ["B^1", "F^1", "G<3", "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: ooooooooBCCCooBDDDAABoEooooFEooooFGG\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,F^1,G<3,Ev1,Ev1,A>4\n"]}} {"board": "oooBooAAoBooCDDBoECFFooECoGGGEHHHoII", "size": 6, "moves": 5, "solution": ["A>1", "C^1", "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: oooBooAAoBooCDDBoECFFooECoGGGEHHHoII\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,C^1,G<2,Bv2,A>3\n"]}} {"board": "BAAooCBoDEoCBoDEFFooGoHHoIGJoooIGJKK", "size": 6, "moves": 7, "solution": ["E^1", "F<1", "H<1", "Dv3", "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: BAAooCBoDEoCBoDEFFooGoHHoIGJoooIGJKK\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,F<1,H<1,Dv3,E>1,Cv1,A>3\n"]}} {"board": "oooooooooooooooAABoooCoBoDoCoBoDoCEE", "size": 6, "moves": 7, "solution": ["A<2", "C^1", "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: oooooooooooooooAABoooCoBoDoCoBoDoCEE\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<2,C^1,D^1,E<3,Bv1,Bv1,A>3\n"]}} {"board": "oBoooCoBoooCAAoDoCoooDEEoooDoooooooo", "size": 6, "moves": 5, "solution": ["D^2", "E<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: oBoooCoBoooCAAoDoCoooDEEoooDoooooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,E<3,Cv3,Cv3,A>4\n"]}} {"board": "oAAoBCooooBCooooBDEoFooDEoFoGGEooooo", "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: oAAoBCooooBCooooBDEoFooDEoFoGGEooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,G<1,Dv1,Bv1,A>3\n"]}} {"board": "oooooooooooBCCCooBooDooBAADoooEEDooo", "size": 6, "moves": 8, "solution": ["Bv2", "B>3", "C^2", "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: oooooooooooBCCCooBooDooBAADoooEEDooo\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,B>3,C^2,A>3,Bv2,B<1,D^2,A>1\n"]}} {"board": "oBBBCDEEEoCDooAAFDoGooFooGoHHooGoIII", "size": 6, "moves": 5, "solution": ["H<1", "Fv1", "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: oBBBCDEEEoCDooAAFDoGooFooGoHHooGoIII\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nH<1,Fv1,I<1,Dv3,A>2\n"]}} {"board": "oooBBBooooCooDDDCoEAAFCoEooFoGoooFoG", "size": 6, "moves": 5, "solution": ["B<3", "C^1", "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: oooBBBooooCooDDDCoEAAFCoEooFoGoooFoG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<3,C^1,D<1,F^3,A>3\n"]}} {"board": "BBBCoooAACooDooEEoDooFFFDGGoHoIIooHo", "size": 6, "moves": 7, "solution": ["E<2", "Cv1", "B>1", "D^2", "F<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: BBBCoooAACooDooEEoDooFFFDGGoHoIIooHo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<2,Cv1,B>1,D^2,F<3,Dv1,A>3\n"]}} {"board": "ooBCDoAABCDooooCDoEEooooooooFFoooGGG", "size": 6, "moves": 5, "solution": ["Bv2", "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: ooBCDoAABCDooooCDoEEooooooooFFoooGGG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,F<3,Bv2,Bv2,A>4\n"]}} {"board": "ooAAoBCCCDDBEEEFFBooGHHHIIGJJJoKKLLL", "size": 6, "moves": 5, "solution": ["K<1", "Gv1", "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: ooAAoBCCCDDBEEEFFBooGHHHIIGJJJoKKLLL\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nK<1,Gv1,G<1,Bv1,A>2\n"]}} {"board": "BBBCoDoAACoDEEoCooFFFoGGoooHHHIIIooo", "size": 6, "moves": 6, "solution": ["G<1", "H<3", "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: BBBCoDoAACoDEEoCooFFFoGGoooHHHIIIooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,H<3,Dv4,F>1,Cv2,A>3\n"]}} {"board": "oooBBBoAACoDEEECoDoFoCoooFGGHoooooHo", "size": 6, "moves": 5, "solution": ["Dv1", "H^2", "H>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: oooBBBoAACoDEEECoDoFoCoooFGGHoooooHo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,H^2,H>2,Cv1,A>3\n"]}} {"board": "oooBBBoCoooooCooooDCEFFFDoEGooDAAGoo", "size": 6, "moves": 6, "solution": ["C^1", "D^3", "E^2", "F<3", "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: oooBBBoCoooooCooooDCEFFFDoEGooDAAGoo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^3,E^2,F<3,G^1,A>3\n"]}} {"board": "oBBBoCooAAoCDoEFFFDoEoGGDHEIJJoHoIoo", "size": 6, "moves": 5, "solution": ["Ev1", "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: oBBBoCooAAoCDoEFFFDoEoGGDHEIJJoHoIoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,E<1,G<1,Cv2,A>2\n"]}} {"board": "oBAACoDBEoCoDFEGGooFoHHHIoJJJoIKKKoo", "size": 6, "moves": 5, "solution": ["J>1", "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: oBAACoDBEoCoDFEGGooFoHHHIoJJJoIKKKoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nJ>1,Ev2,F<1,Cv1,A>2\n"]}} {"board": "oBoCCCoBDEooAADEoFoooEoFooGGGFooHHoo", "size": 6, "moves": 6, "solution": ["D^1", "Fv1", "G<2", "H<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: oBoCCCoBDEooAADEoFoooEoFooGGGFooHHoo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,Fv1,G<2,H<1,Ev2,A>4\n"]}} {"board": "oooooooAAoBoooooBoCooDEECooDooCFFDoo", "size": 6, "moves": 5, "solution": ["D^3", "E<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: oooooooAAoBoooooBoCooDEECooDooCFFDoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^3,E<3,Bv2,Bv1,A>3\n"]}} {"board": "oooooooooBBBAAoCDoooECDoooEoDFooEGGF", "size": 6, "moves": 6, "solution": ["Cv1", "D^1", "G<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: oooooooooBBBAAoCDoooECDoooEoDFooEGGF\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,D^1,G<3,Cv1,Cv1,A>4\n"]}} {"board": "oBBBoooAAooCooDDoCEFFGGGEHHIIIEJJKKK", "size": 6, "moves": 5, "solution": ["E^3", "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: oBBBoooAAooCooDDoCEFFGGGEHHIIIEJJKKK\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^3,F<1,G<1,Dv1,A>3\n"]}} {"board": "oBCooooBCoooooCDDDoAAooEoooFoEoooFoE", "size": 6, "moves": 5, "solution": ["A>2", "Cv3", "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: oBCooooBCoooooCDDDoAAooEoooFoEoooFoE\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,Cv3,C<1,E^3,A>1\n"]}} {"board": "ooooooAABooCooBooCooDDoCooooEEoooooo", "size": 6, "moves": 5, "solution": ["D<2", "Bv1", "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: ooooooAABooCooBooCooDDoCooooEEoooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<2,Bv1,E<1,Bv1,A>4\n"]}} {"board": "oooooBooAAoBoooCoBoooCDDoooCoooEEEoo", "size": 6, "moves": 6, "solution": ["A<1", "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: oooooBooAAoBoooCoBoooCDDoooCoooEEEoo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<1,C^2,D<3,Bv2,Bv2,A>3\n"]}} {"board": "ooooBoooooBCAAooBCoDoEFFGDoEooGHHHoo", "size": 6, "moves": 5, "solution": ["C^1", "E^3", "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: ooooBoooooBCAAooBCoDoEFFGDoEooGHHHoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,E^3,F<2,Cv3,A>4\n"]}} {"board": "BBBCCCoDoooooDoEEEoDooFoAAooFoooooFo", "size": 6, "moves": 5, "solution": ["A>2", "Dv2", "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: BBBCCCoDoooooDoEEEoDooFoAAooFoooooFo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,Dv2,D<2,F^2,A>2\n"]}} {"board": "ooBoooooBCCCoooooDoAAooDEoFFoDEooooo", "size": 6, "moves": 5, "solution": ["A>2", "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: ooBoooooBCCCoooooDoAAooDEoFFoDEooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,Bv2,B<1,D^2,A>1\n"]}} {"board": "ooBCCCooBooDoEEEoDAAooFoGGoHFooooHFo", "size": 6, "moves": 7, "solution": ["Dv3", "D>2", "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: ooBCCCooBooDoEEEoDAAooFoGGoHFooooHFo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv3,D>2,Bv4,B<2,C<2,D^3,A>4\n"]}} {"board": "ooBBBoooCCCoooooDoAAEoDoooEoooooEFFF", "size": 6, "moves": 6, "solution": ["B>1", "C>1", "E^3", "F<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: ooBBBoooCCCoooooDoAAEoDoooEoooooEFFF\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nB>1,C>1,E^3,F<2,Ev2,A>4\n"]}} {"board": "oAAoBCoDDDBCooEoFFGoEHHHGoEIIooJJKKK", "size": 6, "moves": 6, "solution": ["J<1", "Ev1", "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: oAAoBCoDDDBCooEoFFGoEHHHGoEIIooJJKKK\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nJ<1,Ev1,E<2,Bv1,Bv1,A>3\n"]}} {"board": "oBooooCBoDDDCoooEooFAAEGHFIIIGHoJJoG", "size": 6, "moves": 6, "solution": ["D<1", "F^1", "G^3", "I<1", "Gv2", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBooooCBoDDDCoooEooFAAEGHFIIIGHoJJoG\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,F^1,G^3,I<1,Gv2,A>2\n"]}} {"board": "oooooBoAAooBoooCCCooDDEEooooooFFFooo", "size": 6, "moves": 5, "solution": ["C<1", "D<1", "E<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: oooooBoAAooBoooCCCooDDEEooooooFFFooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,D<1,E<1,Bv2,A>3\n"]}} {"board": "BooCooBooCDEAAoCDEFoooGEFHIIGoFHoJJJ", "size": 6, "moves": 17, "solution": ["D^1", "A>1", "F^1", "G^1", "H^1", "I>2", "J<3", "Cv3", "A>1", "G^3", "A<1", "H^2", "I<3", "Ev2", "Ev2", "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: BooCooBooCDEAAoCDEFoooGEFHIIGoFHoJJJ\nOptimal length (moves): 17\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,A>1,F^1,G^1,H^1,I>2,J<3,Cv3,A>1,G^3,A<1,H^2,I<3,Ev2,Ev2,Fv1,A>3\n"]}} {"board": "BooCCCBooooDBEFFFDGEHHHDGoooIJGAAoIJ", "size": 6, "moves": 7, "solution": ["C<1", "D^1", "E^1", "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: BooCCCBooooDBEFFFDGEHHHDGoooIJGAAoIJ\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,D^1,E^1,H<1,I^1,J^1,A>3\n"]}} {"board": "BooCCCBoDEooooDEoooAAEFoooGGFooHHIII", "size": 6, "moves": 5, "solution": ["Bv1", "B<3", "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: BooCCCBoDEooooDEoooAAEFoooGGFooHHIII\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,B<3,E^1,F^2,A>3\n"]}} {"board": "oooooooBAACooBoDCEoooDCEoFGGHHoFoooo", "size": 6, "moves": 6, "solution": ["B^1", "F^2", "G<2", "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: oooooooBAACooBoDCEoooDCEoFGGHHoFoooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,F^2,G<2,H<2,Cv1,A>2\n"]}} {"board": "AAooBooCDoBooCDEEEFoGGGoFooHHHFoIIoo", "size": 6, "moves": 6, "solution": ["Cv2", "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: AAooBooCDoBooCDEEEFoGGGoFooHHHFoIIoo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,G>1,Cv2,C<2,Bv1,A>4\n"]}} {"board": "oBAACooBooCoDBooCoDEEoFFDoooGGooooHH", "size": 6, "moves": 5, "solution": ["D^2", "E<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: oBAACooBooCoDBooCoDEEoFFDoooGGooooHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,E<1,F<2,Dv1,A>2\n"]}} {"board": "oooBoCoooBoCoAABoCooDDooEEEooooFFFoo", "size": 6, "moves": 5, "solution": ["Cv3", "C<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: oooBoCoooBoCoAABoCooDDooEEEooooFFFoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv3,C<1,F<1,Bv3,A>3\n"]}} {"board": "oooooooooooBAAoooBoooCoBoooCDDooooEE", "size": 6, "moves": 5, "solution": ["C^3", "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: oooooooooooBAAoooBoooCoBoooCDDooooEE\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^3,D<1,E<1,Cv2,A>4\n"]}} {"board": "oooooooBCoDooBCoDoEoCFFFEAAGooEooGoo", "size": 6, "moves": 5, "solution": ["C^1", "E^3", "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: oooooooBCoDooBCoDoEoCFFFEAAGooEooGoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,E^3,F<3,G^2,A>3\n"]}} {"board": "BBBooCoAADoCoooDECooFDEoooFoGGoooooo", "size": 6, "moves": 5, "solution": ["F^1", "G<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: BBBooCoAADoCoooDECooFDEoooFoGGoooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,G<3,Cv2,Cv1,A>3\n"]}} {"board": "oAAoBoooooBCDoooECDFGHEooFGHEooFGHII", "size": 6, "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 (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAoBoooooBCDoooECDFGHEooFGHEooFGHII\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": "AABoCoDoBoCoDoEFGGooEFooooEoooooooHH", "size": 6, "moves": 7, "solution": ["Dv2", "Dv1", "Dv1", "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: AABoCoDoBoCoDoEFGGooEFooooEoooooooHH\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv2,Dv1,Dv1,D<4,Bv1,Bv1,A>4\n"]}} {"board": "oAAoBCDDDoBCoooEBoFFoEGGoooHHHooIIIo", "size": 6, "moves": 5, "solution": ["Cv1", "E^1", "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: oAAoBCDDDoBCoooEBoFFoEGGoooHHHooIIIo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,E^1,G<2,Bv1,A>3\n"]}} {"board": "oooooBAAooCBoooDCBEoFDGGEHFDooEHoooo", "size": 6, "moves": 7, "solution": ["D^2", "Fv1", "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: oooooBAAooCBoooDCBEoFDGGEHFDooEHoooo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,Fv1,F<3,Bv2,Bv2,Bv1,A>4\n"]}} {"board": "oBCDDDEBCFFFEAAooGoHooIGoHJJIKoHoLLK", "size": 6, "moves": 6, "solution": ["A>2", "Cv2", "C<1", "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: oBCDDDEBCFFFEAAooGoHooIGoHJJIKoHoLLK\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,Cv2,C<1,E<1,G^2,A>1\n"]}} {"board": "oooBoooooBooCAABoDCooooDCEoooDoEoFFF", "size": 6, "moves": 5, "solution": ["E^1", "F<3", "Bv3", "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: oooBoooooBooCAABoDCooooDCEoooDoEoFFF\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,F<3,Bv3,Cv1,A>3\n"]}} {"board": "BAACoDBoECoDoFECGGoFEoooooHHHooooooo", "size": 6, "moves": 5, "solution": ["H<2", "Cv3", "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: BAACoDBoECoDoFECGGoFEoooooHHHooooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nH<2,Cv3,F<1,Cv1,A>3\n"]}} {"board": "BoCAADBoCEEDBoCFFFGHHoooGIIIooGoooJJ", "size": 6, "moves": 6, "solution": ["H>2", "I>2", "Cv3", "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: BoCAADBoCEEDBoCFFFGHHoooGIIIooGoooJJ\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nH>2,I>2,Cv3,E<1,Cv1,A>1\n"]}} {"board": "oAABoCoDEBFCoDEGFCHHEGIIoJJJooooooKK", "size": 6, "moves": 6, "solution": ["J<1", "Gv2", "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: oAABoCoDEBFCoDEGFCHHEGIIoJJJooooooKK\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nJ<1,Gv2,Bv1,H<1,Bv1,A>3\n"]}} {"board": "oAAoBCoDEFBCGDEFHHGIIoooGooJJJooooKK", "size": 6, "moves": 9, "solution": ["F^1", "I>2", "Ev2", "Ev2", "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: oAAoBCoDEFBCGDEFHHGIIoooGooJJJooooKK\nOptimal length (moves): 9\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,I>2,Ev2,Ev2,F<3,Bv1,Bv1,Bv1,A>3\n"]}} {"board": "BCCCDoBAAoDEBoooDEoFoGGEHFoIIoHFooJJ", "size": 6, "moves": 5, "solution": ["Ev1", "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: BCCCDoBAAoDEBoooDEoFoGGEHFoIIoHFooJJ\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,G<1,I<1,Dv2,A>3\n"]}} {"board": "ooAABoCCooBooooDEEoFoDoooFoDoooFoGGo", "size": 6, "moves": 5, "solution": ["G>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: ooAABoCCooBooooDEEoFoDoooFoDoooFoGGo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nG>1,Dv1,D<2,Bv1,A>2\n"]}} {"board": "oooBBBooCDDDooCEEEFAAGooFooGHoFIIGHo", "size": 6, "moves": 18, "solution": ["C^1", "E<3", "G^1", "H^1", "I>3", "Fv1", "E>3", "F^3", "A<1", "Cv4", "A>1", "Bv3", "B<3", "C<3", "D<3", "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: oooBBBooCDDDooCEEEFAAGooFooGHoFIIGHo\nOptimal length (moves): 18\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,E<3,G^1,H^1,I>3,Fv1,E>3,F^3,A<1,Cv4,A>1,Bv3,B<3,C<3,D<3,F^3,G^2,A>3\n"]}} {"board": "oooooBoooAABCDEooBCDEoFFGDHIIIGoHoJJ", "size": 6, "moves": 6, "solution": ["E^2", "F<1", "H^2", "I<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: oooooBoooAABCDEooBCDEoFFGDHIIIGoHoJJ\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^2,F<1,H^2,I<1,Cv2,A>1\n"]}} {"board": "oBBBoooooCCCooooooDEoFFFDEAAGoDEooGo", "size": 6, "moves": 5, "solution": ["B>1", "E^3", "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: oBBBoooooCCCooooooDEoFFFDEAAGoDEooGo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB>1,E^3,F<2,G^2,A>2\n"]}} {"board": "ooooooBooooCBAAooCBoDEoCooDEooooDFFF", "size": 6, "moves": 5, "solution": ["A>2", "D^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: ooooooBooooCBAAooCBoDEoCooDEooooDFFF\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,D^1,F<1,Cv2,A>1\n"]}} {"board": "ooAABCDDDEBCFGGEBHFooIIHFJJKKKoooLLL", "size": 6, "moves": 10, "solution": ["I<2", "Bv1", "Dv1", "C>1", "E^1", "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: ooAABCDDDEBCFGGEBHFooIIHFJJKKKoooLLL\nOptimal length (moves): 10\nReturn only the and blocks.", "\nShortest path found.\n\n\nI<2,Bv1,Dv1,C>1,E^1,J<1,K<1,Hv1,Bv1,A>2\n"]}} {"board": "oBBBCDoAAECDooFECGHIFooGHIoJJoHIKKKo", "size": 6, "moves": 6, "solution": ["Ev1", "Gv2", "Dv2", "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: oBBBCDoAAECDooFECGHIFooGHIoJJoHIKKKo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,Gv2,Dv2,I<1,Cv2,A>3\n"]}} {"board": "BBBooCDoEAACDoEFFFDooGGGoHoooIoHoJJI", "size": 6, "moves": 5, "solution": ["Ev3", "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: BBBooCDoEAACDoEFFFDooGGGoHoooIoHoJJI\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv3,E<1,F<1,Cv2,A>1\n"]}} {"board": "ooooBooAAoBoooooBoooCDDoEECoooooCooo", "size": 6, "moves": 6, "solution": ["A<1", "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: ooooBooAAoBoooooBoooCDDoEECoooooCooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<1,C^3,D<3,Bv2,Bv2,A>4\n"]}} {"board": "ooBoooooBCCCooooDoAAooDoEFFFDoEooGGG", "size": 6, "moves": 6, "solution": ["Bv2", "B<2", "D^2", "F>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: ooBoooooBCCCooooDoAAooDoEFFFDoEooGGG\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,B<2,D^2,F>2,Dv2,A>4\n"]}} {"board": "ooAABCDoooBCDoEEBooFFoGGHHHIIooJJoKK", "size": 6, "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 (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAABCDoooBCDoEEBooFFoGGHHHIIooJJoKK\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,F<1,G<2,Bv1,A>2\n"]}} {"board": "oAABoooooBoooCDBooECDFFFEoGGooEHHHoo", "size": 6, "moves": 6, "solution": ["C^1", "D^1", "E^3", "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: oAABoooooBoooCDBooECDFFFEoGGooEHHHoo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^1,E^3,F<3,Cv1,A>3\n"]}} {"board": "ooBoooooBCCCooDDDooAAEoooooEoooooEoo", "size": 6, "moves": 7, "solution": ["D>1", "A<1", "Bv4", "B<3", "C<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: ooBoooooBCCCooDDDooAAEoooooEoooooEoo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nD>1,A<1,Bv4,B<3,C<3,D^3,A>4\n"]}} {"board": "AABCoDooBCEDoFBoEDGFoHHHGFoIIoJJJKKK", "size": 6, "moves": 7, "solution": ["Bv1", "Bv1", "A>3", "C^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: AABCoDooBCEDoFBoEDGFoHHHGFoIIoJJJKKK\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,A>3,C^1,H<1,Cv1,A>1\n"]}} {"board": "ooooooooBooCAABooCooDDoCoEEEFFoooooo", "size": 6, "moves": 5, "solution": ["B^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: ooooooooBooCAABooCooDDoCoEEEFFoooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,E<1,F<1,Cv2,A>4\n"]}} {"board": "oBoCCCoBoooDoBEooDAAEooDooEoFFGGoHHo", "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: oBoCCCoBoooDoBEooDAAEooDooEoFFGGoHHo\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": "oooooBoAAooBoooooBCCoDDDooEFFFGGEHHH", "size": 6, "moves": 6, "solution": ["A>2", "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: oooooBoAAooBoooooBCCoDDDooEFFFGGEHHH\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,E^3,E<1,F<1,Bv2,A>1\n"]}} {"board": "ooBCCCooBDDDEEEooFGoAAHFGIooHoGIJJJo", "size": 6, "moves": 5, "solution": ["Fv2", "H^1", "J<1", "Hv1", "A>2"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooBCCCooBDDDEEEooFGoAAHFGIooHoGIJJJo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nFv2,H^1,J<1,Hv1,A>2\n"]}} {"board": "ooBBBooAAooCooDEECoFDGGGoFDoHHoFoooo", "size": 6, "moves": 6, "solution": ["B>1", "A>2", "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: ooBBBooAAooCooDEECoFDGGGoFDoHHoFoooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nB>1,A>2,D^2,G<1,Dv1,A>1\n"]}} {"board": "ooBCooAABCooooBCDDoEFFGooEooGHoIIooH", "size": 6, "moves": 5, "solution": ["Gv1", "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: ooBCooAABCooooBCDDoEFFGooEooGHoIIooH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nGv1,F>2,Bv2,Bv2,A>4\n"]}} {"board": "oooooooooBBBoooCCCooooDoAAooDEooooDE", "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: oooooooooBBBoooCCCooooDoAAooDEooooDE\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": "BooCCCBoDDDEAAoFoEoooFGGoHIJJooHIKKo", "size": 6, "moves": 5, "solution": ["C<1", "E^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: BooCCCBoDDDEAAoFoEoooFGGoHIJJooHIKKo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,E^1,J>1,Fv1,A>4\n"]}} {"board": "BoCoDoBoCoDoBAAoDEoFoGGEoFoooooFoHHH", "size": 6, "moves": 7, "solution": ["A>1", "E^2", "F^1", "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: BoCoDoBoCoDoBAAoDEoFoGGEoFoooooFoHHH\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,E^2,F^1,G<1,H<2,Dv3,A>2\n"]}} {"board": "ooooBooAAoBCooDDBCooEooCooEoFFooEooo", "size": 6, "moves": 8, "solution": ["A<1", "D<2", "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: ooooBooAAoBCooDDBCooEooCooEoFFooEooo\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<1,D<2,E^2,F<4,Bv2,Bv1,Bv1,A>4\n"]}} {"board": "AAoBoooooBCCoDoBEEFDoGGGFoooooFooHHH", "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: AAoBoooooBCCoDoBEEFDoGGGFoooooFooHHH\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": "oBBBooAAoCDEFFFCDEGGoCoooooHHoIIooJJ", "size": 6, "moves": 5, "solution": ["Dv1", "Dv1", "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: oBBBooAAoCDEFFFCDEGGoCoooooHHoIIooJJ\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,Dv1,H<2,Cv1,A>4\n"]}} {"board": "ooooooBoooooBCCCoooAADEooooDEooooDoo", "size": 6, "moves": 5, "solution": ["B^1", "C<1", "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: ooooooBoooooBCCCoooAADEooooDEooooDoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,C<1,D^3,E^2,A>3\n"]}} {"board": "ooooooBoooooBCCCooBooDooooEDoFAAEDoF", "size": 6, "moves": 7, "solution": ["E^1", "F^1", "A>1", "Bv2", "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: ooooooBoooooBCCCooBooDooooEDoFAAEDoF\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,F^1,A>1,Bv2,B<1,E^1,A>3\n"]}} {"board": "ooAABoooooBoCoDEEECoDoooCFFooooooooo", "size": 6, "moves": 5, "solution": ["F>2", "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: ooAABoooooBoCoDEEECoDoooCFFooooooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nF>2,Dv1,D<2,Bv1,A>2\n"]}} {"board": "oBoooooBoCCCoBooooDoooEoDAAoEoDoooEo", "size": 6, "moves": 5, "solution": ["A>1", "Bv2", "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: oBoooooBoCCCoBooooDoooEoDAAoEoDoooEo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,Bv2,B<2,E^2,A>2\n"]}} {"board": "BooCCCBDoEEEoDoFGHIooFGHIoAAGJIKKooJ", "size": 6, "moves": 7, "solution": ["C<1", "Dv1", "D<2", "G^1", "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: BooCCCBDoEEEoDoFGHIooFGHIoAAGJIKKooJ\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,Dv1,D<2,G^1,H^2,J^2,A>2\n"]}} {"board": "oAAoBoCDooBoCDooBooDoEEEFFGoooooGHHo", "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: oAAoBoCDooBoCDooBooDoEEEFFGoooooGHHo\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": "BBBCDEAAoCDEoFoCooGFoHHHGoIIoooJJoKK", "size": 6, "moves": 9, "solution": ["Gv1", "I>2", "J>1", "Fv2", "F<3", "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: BBBCDEAAoCDEoFoCooGFoHHHGoIIoooJJoKK\nOptimal length (moves): 9\nReturn only the and blocks.", "\nShortest path found.\n\n\nGv1,I>2,J>1,Fv2,F<3,Cv2,Cv2,Cv2,A>4\n"]}} {"board": "oooBBBCCCDoEoooDFEAAoDFEGHHIIIGooJJJ", "size": 6, "moves": 5, "solution": ["B<3", "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: oooBBBCCCDoEoooDFEAAoDFEGHHIIIGooJJJ\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<3,D^1,E^1,F^1,A>4\n"]}} {"board": "oBAACooBooCoDBoEEEDooFFFGHHIIoGooJJJ", "size": 6, "moves": 6, "solution": ["I>1", "H>1", "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: oBAACooBooCoDBoEEEDooFFFGHHIIoGooJJJ\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nI>1,H>1,Bv3,D<2,Bv1,A>2\n"]}} {"board": "ooooooooooBoooAABoooooBoooCoDDEECooo", "size": 6, "moves": 5, "solution": ["A<2", "C^4", "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: ooooooooooBoooAABoooooBoooCoDDEECooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<2,C^4,D<2,Cv2,A>4\n"]}} {"board": "ooooBoooooBoAAooBooooCCCoooDDoooooEE", "size": 6, "moves": 5, "solution": ["C<2", "D<1", "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: ooooBoooooBoAAooBooooCCCoooDDoooooEE\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,D<1,E<2,Bv3,A>4\n"]}} {"board": "oAAooBoCCCoBDEEFFFDGoHHoIGJKKKIoJLLL", "size": 6, "moves": 5, "solution": ["D^2", "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: oAAooBoCCCoBDEEFFFDGoHHoIGJKKKIoJLLL\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,E<1,F<1,Cv1,A>3\n"]}} {"board": "ooooBooAAoBCoooooCDoEEoCDFFGGGDHHoII", "size": 6, "moves": 6, "solution": ["Bv2", "D^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: ooooBooAAoBCoooooCDoEEoCDFFGGGDHHoII\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,D^2,F<1,G<1,Cv1,A>3\n"]}} {"board": "oooooBoooooBCAADoBCooDooCooDEEFFoooo", "size": 6, "moves": 5, "solution": ["D^1", "E<3", "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: oooooBoooooBCAADoBCooDooCooDEEFFoooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E<3,Bv3,Bv2,A>3\n"]}} {"board": "ooooBCoAAoBCoooDBCoooDEEFooDooFGGGoo", "size": 6, "moves": 6, "solution": ["D^2", "E<3", "Bv2", "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: ooooBCoAAoBCoooDBCoooDEEFooDooFGGGoo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,E<3,Bv2,Bv2,Bv2,A>3\n"]}} {"board": "ooooBCooAABCDEFFFoDEoGoooooGHoIIoGHo", "size": 6, "moves": 5, "solution": ["Cv2", "D^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: ooooBCooAABCDEFFFoDEoGoooooGHoIIoGHo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,D^2,E<1,Cv2,A>2\n"]}} {"board": "oAAoBCoDDDBCooEEECFFFoGGHoIIIoHooJJJ", "size": 6, "moves": 5, "solution": ["E<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: oAAoBCoDDDBCooEEECFFFoGGHoIIIoHooJJJ\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Bv1,G<1,Bv1,A>3\n"]}} {"board": "AABoooooBoCoDEFFCoDEGoHoDEGoHoooGoHo", "size": 6, "moves": 5, "solution": ["Dv1", "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: AABoooooBoCoDEFFCoDEGoHoDEGoHoooGoHo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,Dv1,D<2,Bv1,A>4\n"]}} {"board": "ooAAoBoooooBCDDEEECooFoGCooFoGoooFoG", "size": 6, "moves": 5, "solution": ["Cv1", "C<1", "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: ooAAoBoooooBCDDEEECooFoGCooFoGoooFoG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,C<1,D<1,Bv1,A>2\n"]}} {"board": "oBooCooBooCooBAACoooooDDoooEEoooFFFo", "size": 6, "moves": 5, "solution": ["D<2", "E<1", "F<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: oBooCooBooCooBAACoooooDDoooEEoooFFFo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<2,E<1,F<1,Cv3,A>2\n"]}} {"board": "ooooooooAAoBCCDooBEoDFFBEGDHHHoGooII", "size": 6, "moves": 5, "solution": ["A>1", "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: ooooooooAAoBCCDooBEoDFFBEGDHHHoGooII\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,D^1,H<1,Cv1,A>1\n"]}} {"board": "oBBBCooAAoCDoEEFFDoGGooDoHHIIoJJJKKK", "size": 6, "moves": 5, "solution": ["Dv1", "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: oBBBCooAAoCDoEEFFDoGGooDoHHIIoJJJKKK\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,D<1,E<1,Cv2,A>3\n"]}} {"board": "oooBBBooooCooDDDCoooEFooAAEFoooooooo", "size": 6, "moves": 7, "solution": ["B<3", "C^1", "D<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: oooBBBooooCooDDDCoooEFooAAEFoooooooo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<3,C^1,D<1,F^3,E>3,F^1,A>4\n"]}} {"board": "BAAoCDBoEECDBooFCoGooFHHGIIIJJGKKoLL", "size": 6, "moves": 6, "solution": ["Dv1", "D<1", "F^1", "H<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: BAAoCDBoEECDBooFCoGooFHHGIIIJJGKKoLL\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,D<1,F^1,H<2,Cv1,A>3\n"]}} {"board": "BoCoooBoCoDoEoAADFEGGGDFooooHHoooIII", "size": 6, "moves": 5, "solution": ["F^2", "H<2", "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: BoCoooBoCoDoEoAADFEGGGDFooooHHoooIII\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^2,H<2,I<2,Ev2,A>2\n"]}} {"board": "BAAooCBoDDoCBooEECFFGHHHIoGJKoIoGJKo", "size": 6, "moves": 6, "solution": ["A>2", "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: BAAooCBoDDoCBooEECFFGHHHIoGJKoIoGJKo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,D>1,G^3,H<1,Dv1,A>1\n"]}} {"board": "oAAoBCooooBCDoEFFCDGEoHHoGIJoooGIJoo", "size": 6, "moves": 9, "solution": ["A<1", "Dv1", "D^2", "E<3", "Bv1", "Bv1", "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: oAAoBCooooBCDoEFFCDGEoHHoGIJoooGIJoo\nOptimal length (moves): 9\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<1,Dv1,D^2,E<3,Bv1,Bv1,H<1,Bv1,A>4\n"]}} {"board": "ooAABoCDEFBoCDEFGGHDEoIIHJoooKoJoLLK", "size": 6, "moves": 5, "solution": ["Ev2", "Ev2", "E<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: ooAABoCDEFBoCDEFGGHDEoIIHJoooKoJoLLK\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv2,Ev2,E<2,Bv1,A>2\n"]}} {"board": "oBoCCCoBoDDDoEEEFoooAAFGoHHoFGoooooG", "size": 6, "moves": 10, "solution": ["Fv1", "E>1", "H>1", "Bv3", "B<2", "C<2", "D<1", "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: oBoCCCoBoDDDoEEEFoooAAFGoHHoFGoooooG\nOptimal length (moves): 10\nReturn only the and blocks.", "\nShortest path found.\n\n\nFv1,E>1,H>1,Bv3,B<2,C<2,D<1,F^3,G^3,A>2\n"]}} {"board": "ooooooooooooooBBBCooDooCAADooCooDooo", "size": 6, "moves": 8, "solution": ["Cv1", "B>1", "C^2", "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: ooooooooooooooBBBCooDooCAADooCooDooo\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,B>1,C^2,A>3,Bv2,B<1,D^2,A>1\n"]}} {"board": "AAooBCooDDBCoooooCoEEFFFGooHooGIIHoo", "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: AAooBCooDDBCoooooCoEEFFFGooHooGIIHoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,E<1,F<1,Bv1,A>4\n"]}} {"board": "oBBBoooooAACDDDooCoooEoCoooEFFoooEoo", "size": 6, "moves": 6, "solution": ["A<2", "E^2", "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: oBBBoooooAACDDDooCoooEoCoooEFFoooEoo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<2,E^2,F<3,Cv1,Cv1,A>3\n"]}} {"board": "oooBBBoooCCCoooooDoooEoDoAAEoFoooEoF", "size": 6, "moves": 6, "solution": ["B<1", "C<3", "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: oooBBBoooCCCoooooDoooEoDoAAEoFoooEoF\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,C<3,D^2,E^2,F^2,A>3\n"]}} {"board": "BAACooBooCDDBEFGGGoEFooooooHHoIIoJJo", "size": 6, "moves": 7, "solution": ["Ev1", "Ev1", "I>1", "Bv3", "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: BAACooBooCDDBEFGGGoEFooooooHHoIIoJJo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,Ev1,I>1,Bv3,D<3,Bv1,A>3\n"]}} {"board": "oooBBBoCoooooCoDDDoCEoFoooEGFHAAoGFH", "size": 6, "moves": 7, "solution": ["G^1", "H^1", "A>2", "Cv2", "C<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: oooBBBoCoooooCoDDDoCEoFoooEGFHAAoGFH\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nG^1,H^1,A>2,Cv2,C<2,G^1,A>2\n"]}} {"board": "oAAooBoCCCDBoooEDFGGGEDFoHHIIIJJKKoo", "size": 6, "moves": 5, "solution": ["H<1", "I<1", "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: oAAooBoCCCDBoooEDFGGGEDFoHHIIIJJKKoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nH<1,I<1,Fv1,Bv1,A>3\n"]}} {"board": "oooBoCoooBoCoAABoCDEEoFoDoooFoDGGGFo", "size": 6, "moves": 5, "solution": ["Cv3", "C^1", "G<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: oooBoCoooBoCoAABoCDEEoFoDoooFoDGGGFo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv3,C^1,G<1,Bv3,A>3\n"]}} {"board": "oBBBCoDEEECoDoAACooFFoooGGHIooooHIJJ", "size": 6, "moves": 6, "solution": ["F<1", "H^1", "I^1", "J<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: oBBBCoDEEECoDoAACooFFoooGGHIooooHIJJ\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,H^1,I^1,J<2,Cv3,A>2\n"]}} {"board": "oAABCDooEBCDFoEBGHFIJKGHFIJKGHoIJoLL", "size": 6, "moves": 14, "solution": ["A<1", "E^1", "I^1", "J^1", "L<4", "Hv1", "Bv1", "Hv1", "Cv1", "Hv1", "Cv1", "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: oAABCDooEBCDFoEBGHFIJKGHFIJKGHoIJoLL\nOptimal length (moves): 14\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<1,E^1,I^1,J^1,L<4,Hv1,Bv1,Hv1,Cv1,Hv1,Cv1,Iv1,Bv1,A>4\n"]}} {"board": "oBBBoCooAADCEEooDFooooDFGoHHHoGoooII", "size": 6, "moves": 6, "solution": ["H<1", "Dv1", "I<1", "Fv2", "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: oBBBoCooAADCEEooDFooooDFGoHHHoGoooII\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nH<1,Dv1,I<1,Fv2,Cv2,A>2\n"]}} {"board": "oooooBCooAABCoDDDBEEEFooGGGFHHoIIIJJ", "size": 6, "moves": 6, "solution": ["C^1", "D<2", "F^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: oooooBCooAABCoDDDBEEEFooGGGFHHoIIIJJ\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D<2,F^1,H<1,Cv2,A>1\n"]}} {"board": "oooooooooBBBCCCoooooDooEAADooEooDooE", "size": 6, "moves": 8, "solution": ["C>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: oooooooooBBBCCCoooooDooEAADooEooDooE\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nC>3,D^2,A>3,Bv2,B<1,C<1,E^2,A>1\n"]}} {"board": "BBBoCoAAooCDooEooDoFEGGoHFooooHooIII", "size": 6, "moves": 5, "solution": ["Dv1", "Dv2", "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: BBBoCoAAooCDooEooDoFEGGoHFooooHooIII\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,Dv2,F<1,Cv2,A>4\n"]}} {"board": "ooooBooAAoBoooooBooooCCCDEFFGGDEoHHo", "size": 6, "moves": 8, "solution": ["A>1", "D^2", "E^3", "E<2", "F<2", "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: ooooBooAAoBoooooBooooCCCDEFFGGDEoHHo\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,D^2,E^3,E<2,F<2,G<2,Bv2,A>2\n"]}} {"board": "oooBooCAABooCooDDDCoEoooooEoooFFEooo", "size": 6, "moves": 7, "solution": ["E^1", "F>3", "Cv2", "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: oooBooCAABooCooDDDCoEoooooEoooFFEooo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,F>3,Cv2,Cv1,C<3,Bv2,A>3\n"]}} {"board": "BBBoCDoooECDoAAECDFoooGGFHIIooFHoJJJ", "size": 6, "moves": 7, "solution": ["E^1", "G<2", "H^1", "J<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: BBBoCDoooECDoAAECDFoooGGFHIIooFHoJJJ\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,G<2,H^1,J<2,Dv3,Dv3,A>3\n"]}} {"board": "ooBCCCooBoooooooooAAoDEooFFDEooooDEo", "size": 6, "moves": 5, "solution": ["Bv1", "B<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: ooBCCCooBoooooooooAAoDEooFFDEooooDEo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,B<3,D^3,E^3,A>4\n"]}} {"board": "oooBoCoAABDCooooDCoooEEEoFoGGooFoooo", "size": 6, "moves": 5, "solution": ["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: oooBoCoAABDCooooDCoooEEEoFoGGooFoooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<3,Bv2,Bv2,Bv1,A>3\n"]}} {"board": "BoCCCoBDDDooooEoooAAEooFoGGHHFIIIoJJ", "size": 6, "moves": 5, "solution": ["D>2", "E^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: BoCCCoBDDDooooEoooAAEooFoGGHHFIIIoJJ\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD>2,E^1,J<1,Fv1,A>4\n"]}} {"board": "ooooooBBBCCCoAADEFoooDEFoGGGEFooHHHo", "size": 6, "moves": 6, "solution": ["Fv1", "G<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: ooooooBBBCCCoAADEFoooDEFoGGGEFooHHHo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nFv1,G<1,Dv1,H<1,Dv1,A>3\n"]}} {"board": "ooooBoAAoCBooooCooooDEEFoGDooFoGDooF", "size": 6, "moves": 6, "solution": ["D^3", "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: ooooBoAAoCBooooCooooDEEFoGDooFoGDooF\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^3,E<3,Bv2,Bv2,Bv1,A>4\n"]}} {"board": "ooooooBoCCCoBoooDooEEEDFGoooHFGAAoHF", "size": 6, "moves": 5, "solution": ["C<1", "D^1", "F^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: ooooooBoCCCoBoooDooEEEDFGoooHFGAAoHF\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,D^1,F^1,H^1,A>3\n"]}} {"board": "oBBBoCAAoooCoooDEoFGHDEIFGHDEIFoHJJJ", "size": 6, "moves": 5, "solution": ["H^1", "J<1", "Iv1", "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: oBBBoCAAoooCoooDEoFGHDEIFGHDEIFoHJJJ\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nH^1,J<1,Iv1,Cv2,A>4\n"]}} {"board": "AAooBoCCCDBooooDBooooDEEoooFFFGGoooo", "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: AAooBoCCCDBooooDBooooDEEoooFFFGGoooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E<3,Bv1,Bv1,A>4\n"]}} {"board": "oBoCDoEBoCDFEoGCHFAAGoHFooGoIIooJJJo", "size": 6, "moves": 6, "solution": ["F^1", "G^2", "I<2", "J<1", "Hv2", "A>4"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoCDoEBoCDFEoGCHFAAGoHFooGoIIooJJJo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,G^2,I<2,J<1,Hv2,A>4\n"]}} {"board": "oBoCoooBoCoooBoDDDooooooAAooEooFFFEo", "size": 6, "moves": 7, "solution": ["A>2", "E^1", "F>1", "Bv3", "C<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: oBoCoooBoCoooBoDDDooooooAAooEooFFFEo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,E^1,F>1,Bv3,C<2,E^1,A>2\n"]}} {"board": "BCDoEoBCDoEooCAAFoGoHHFIGJooFIGJKKLL", "size": 6, "moves": 6, "solution": ["G^1", "J^1", "K<2", "L<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: BCDoEoBCDoEooCAAFoGoHHFIGJooFIGJKKLL\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nG^1,J^1,K<2,L<2,Gv1,A>2\n"]}} {"board": "BCDDDoBCoEEEBoooooooAAFooGooFooGooFo", "size": 6, "moves": 5, "solution": ["Cv2", "C<1", "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: BCDDDoBCoEEEBoooooooAAFooGooFooGooFo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,C<1,D<2,F^3,A>2\n"]}} {"board": "oooBBBoooooooCCCooDAAEFoDoGEFoDoGEFo", "size": 6, "moves": 5, "solution": ["B<3", "C<1", "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: oooBBBoooooooCCCooDAAEFoDoGEFoDoGEFo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<3,C<1,E^3,F^3,A>3\n"]}} {"board": "oooooooooBBBCoooDoCoooDooAAoEFooooEF", "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: oooooooooBBBCoooDoCoooDooAAoEFooooEF\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": "BBBoooooCDEoAACDEoooCooooooFFooGGoHH", "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: BBBoooooCDEoAACDEoooCooooooFFooGGoHH\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": "oooBCooAABCooooBooooDoooooDEEEoooooo", "size": 6, "moves": 5, "solution": ["Cv2", "D^1", "E<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: oooBCooAABCooooBooooDoooooDEEEoooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,D^1,E<3,Bv2,A>3\n"]}} {"board": "ooooooooooBoooAABoCoDoBoCoDoooooDEEo", "size": 6, "moves": 6, "solution": ["A<2", "D^1", "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: ooooooooooBoooAABoCoDoBoCoDoooooDEEo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<2,D^1,E<3,Bv2,Bv1,A>4\n"]}} {"board": "BBBoCooAAoCoooDoCoEFDoooEFoGGGEFoooo", "size": 6, "moves": 5, "solution": ["A>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: BBBoCooAAoCoooDoCoEFDoooEFoGGGEFoooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,F^2,G<2,Cv2,A>2\n"]}} {"board": "oooooooooAABCoooDBCooEDBCooEFFoooEoo", "size": 6, "moves": 6, "solution": ["A<2", "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: oooooooooAABCoooDBCooEDBCooEFFoooEoo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<2,E^2,F<3,Bv1,Bv1,A>3\n"]}} {"board": "oooooooooooooooBCooooBCDAAoECDoooEoD", "size": 6, "moves": 5, "solution": ["B^2", "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: oooooooooooooooBCooooBCDAAoECDoooEoD\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^2,C^1,D^2,E^2,A>4\n"]}} {"board": "BBBoooAAoooCoooDoCEoFDGGEoFDHHEIIJJo", "size": 6, "moves": 8, "solution": ["D^2", "E^1", "I<1", "Fv1", "F<3", "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: BBBoooAAoooCoooDoCEoFDGGEoFDHHEIIJJo\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,E^1,I<1,Fv1,F<3,Cv2,Cv1,A>4\n"]}} {"board": "BooooCBDAAoCBDEEFFoDGoooHoGIIIHoGJJJ", "size": 6, "moves": 5, "solution": ["Dv2", "D<1", "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: BooooCBDAAoCBDEEFFoDGoooHoGIIIHoGJJJ\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv2,D<1,E<1,Cv2,A>2\n"]}} {"board": "oooooooBoCCCoBAAoDEBoooDEFoooDEFGGHH", "size": 6, "moves": 6, "solution": ["B^1", "F^1", "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: oooooooBoCCCoBAAoDEBoooDEFoooDEFGGHH\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,F^1,G<1,H<1,Dv1,A>2\n"]}} {"board": "ooBoooooBooCooBAACoooooCoooDEEoooDFF", "size": 6, "moves": 7, "solution": ["Bv3", "A<2", "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: ooBoooooBooCooBAACoooooCoooDEEoooDFF\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv3,A<2,D^4,E<1,F<1,Cv2,A>3\n"]}} {"board": "ooBooCooBooCAABDoCoEEDoooFFGGooooooo", "size": 6, "moves": 6, "solution": ["Cv3", "C^2", "D<1", "F<1", "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: ooBooCooBooCAABDoCoEEDoooFFGGooooooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv3,C^2,D<1,F<1,Bv3,A>4\n"]}} {"board": "BooooCBoAAoCooDEoCFoDEGGFHDIIIoHoJJo", "size": 6, "moves": 10, "solution": ["A>1", "D^1", "F^1", "H^2", "I<3", "J<2", "Gv2", "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: BooooCBoAAoCooDEoCFoDEGGFHDIIIoHoJJo\nOptimal length (moves): 10\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,D^1,F^1,H^2,I<3,J<2,Gv2,G<1,Cv2,A>1\n"]}} {"board": "oBBBoCooDoECAADoECoFFoEoGHoIooGHoIJJ", "size": 6, "moves": 7, "solution": ["F<1", "Dv2", "I^1", "J<2", "Cv3", "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: oBBBoCooDoECAADoECoFFoEoGHoIooGHoIJJ\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Dv2,I^1,J<2,Cv3,Cv2,A>4\n"]}} {"board": "oBCCCooBooDoAAooDoooooEoFFFoEoooooEo", "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: oBCCCooBooDoAAooDoooooEoFFFoEoooooEo\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": "ooBBBooCDDDooCoEEEFoooGHFoAAGHFoooGH", "size": 6, "moves": 6, "solution": ["Cv2", "C<1", "D<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: ooBBBooCDDDooCoEEEFoooGHFoAAGHFoooGH\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,C<1,D<2,G^2,H^2,A>2\n"]}} {"board": "oBBBooCoAADoCoEEDoCFFoGGHHIIIJKKKLLJ", "size": 6, "moves": 5, "solution": ["C^1", "F<1", "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: oBBBooCoAADoCoEEDoCFFoGGHHIIIJKKKLLJ\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,F<1,G<2,Dv1,A>2\n"]}} {"board": "ooooBooCCCBDooAABDoEEEoooooFFFoGGoHH", "size": 6, "moves": 6, "solution": ["D^1", "F<2", "G<1", "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: ooooBooCCCBDooAABDoEEEoooooFFFoGGoHH\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,F<2,G<1,H<2,Bv3,A>2\n"]}} {"board": "oBBBooooCDDDooCoooooCooEFGAAoEFGoHHE", "size": 6, "moves": 5, "solution": ["A>1", "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: oBBBooooCDDDooCoooooCooEFGAAoEFGoHHE\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,Cv1,C<1,E^2,A>1\n"]}} {"board": "oBAACDoBEECDooooCDFGooHoFGIIHoFGooJJ", "size": 6, "moves": 5, "solution": ["Dv1", "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: oBAACDoBEECDooooCDFGooHoFGIIHoFGooJJ\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,J<2,Hv1,Cv1,A>2\n"]}} {"board": "ooooooooooBoCAAoBoCDooBooDoooooDEEEo", "size": 6, "moves": 5, "solution": ["A>1", "D^1", "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: ooooooooooBoCAAoBoCDooBooDoooooDEEEo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,D^1,E<1,Bv2,A>2\n"]}} {"board": "ooBCoDAABCoDoEECoDFFooGoHIJoGoHIJKKK", "size": 6, "moves": 5, "solution": ["Cv2", "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: ooBCoDAABCoDoEECoDFFooGoHIJoGoHIJKKK\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,Cv2,C<1,Bv2,A>4\n"]}} {"board": "ooooooBooCCCBoooooAAoDEFoooDEFoooDEF", "size": 6, "moves": 7, "solution": ["A>1", "Bv1", "B<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: ooooooBooCCCBoooooAAoDEFoooDEFoooDEF\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,Bv1,B<3,D^3,E^3,F^3,A>3\n"]}} {"board": "BAAoCDBEEoCDBFGGCoHFoIIIHoJoooHoJKKK", "size": 6, "moves": 5, "solution": ["Dv1", "Fv2", "H<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: BAAoCDBEEoCDBFGGCoHFoIIIHoJoooHoJKKK\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,Fv2,H<2,Cv1,A>3\n"]}} {"board": "oooooBooAACBDDDoCBoooooooEoFGGoEoFHH", "size": 6, "moves": 5, "solution": ["Cv1", "F^2", "G<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: oooooBooAACBDDDoCBoooooooEoFGGoEoFHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,F^2,G<1,Bv2,A>2\n"]}} {"board": "BooCCCBoooDoBAAoDoEooFDoEooFoooooFGG", "size": 6, "moves": 5, "solution": ["F^1", "G<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: BooCCCBoooDoBAAoDoEooFDoEooFoooooFGG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,G<3,Dv2,Dv1,A>3\n"]}} {"board": "ooBBBooAACoDEEoCoDFFoCGHoIIIGHooooGo", "size": 6, "moves": 5, "solution": ["Hv1", "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: ooBBBooAACoDEEoCoDFFoCGHoIIIGHooooGo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nHv1,Dv1,H<1,Cv1,A>3\n"]}} {"board": "BAACDoBEECDoooooDoFGooHIFGJoHIFoJKKI", "size": 6, "moves": 6, "solution": ["Cv1", "J^1", "K<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: BAACDoBEECDoooooDoFGooHIFGJoHIFoJKKI\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,J^1,K<1,Iv1,Cv1,A>3\n"]}} {"board": "oooBoooooBCoAAoBCooDooCooDEoooooEFFF", "size": 6, "moves": 5, "solution": ["E^1", "F<3", "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: oooBoooooBCoAAoBCooDooCooDEoooooEFFF\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,F<3,Bv3,Bv2,A>4\n"]}} {"board": "ooooooooAABoCDooBoCDooBoCEEoFFoooGGo", "size": 6, "moves": 5, "solution": ["C^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: ooooooooAABoCDooBoCDooBoCEEoFFoooGGo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,E<1,F<2,Cv1,A>2\n"]}} {"board": "AABoCoDDBoCoooBEEooFFoGGHHIIIoooooJJ", "size": 6, "moves": 6, "solution": ["F<1", "I>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: AABoCoDDBoCoooBEEooFFoGGHHIIIoooooJJ\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,I>1,Bv3,D<1,Bv1,A>4\n"]}} {"board": "ooooooAABoooooBoooCDEEFoCDooFoCoooFo", "size": 6, "moves": 6, "solution": ["F^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: ooooooAABoooooBoooCDEEFoCDooFoCoooFo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^3,F>1,Cv3,E<1,Bv2,A>4\n"]}} {"board": "BCooooBCDDDEoooooEAAFoooooFGGGooFooo", "size": 6, "moves": 6, "solution": ["Ev1", "D>1", "F^3", "G<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: BCooooBCDDDEoooooEAAFoooooFGGGooFooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,D>1,F^3,G<1,Fv2,A>4\n"]}} {"board": "oooooooBBBCoooooCDAAEoCDFoEooGFoHHHG", "size": 6, "moves": 10, "solution": ["C^1", "D^1", "G^1", "H>1", "Ev1", "A>3", "G^1", "H<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: oooooooBBBCoooooCDAAEoCDFoEooGFoHHHG\nOptimal length (moves): 10\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^1,G^1,H>1,Ev1,A>3,G^1,H<1,Fv1,A>1\n"]}} {"board": "oooBoooooBoooAAooCDDEEECooFooCooFGGG", "size": 6, "moves": 8, "solution": ["A<1", "C^2", "E>1", "F^4", "F<1", "G<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: oooBoooooBoooAAooCDDEEECooFooCooFGGG\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<1,C^2,E>1,F^4,F<1,G<1,Dv3,A>4\n"]}} {"board": "ooBBBoooooooAAooCooDooCooDooCooDEEFF", "size": 6, "moves": 6, "solution": ["A>2", "D^1", "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: ooBBBoooooooAAooCooDooCooDooCooDEEFF\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,D^1,E<2,F<2,Dv1,A>2\n"]}} {"board": "oooBCoAAoBCooDoBooEDooooEDFFoGoooooG", "size": 6, "moves": 5, "solution": ["Cv2", "G^2", "G>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: oooBCoAAoBCooDoBooEDooooEDFFoGoooooG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,G^2,G>2,Bv2,A>4\n"]}} {"board": "BBBooCDEEEoCDAAooCDoFoooGHFIIIGHJJKK", "size": 6, "moves": 8, "solution": ["A>2", "F^1", "H^1", "I<1", "J<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: BBBooCDEEEoCDAAooCDoFoooGHFIIIGHJJKK\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,F^1,H^1,I<1,J<1,K<1,Cv3,A>1\n"]}} {"board": "oooooooBBBooAACDEoFoCDEGFHIDEGoHIooG", "size": 6, "moves": 5, "solution": ["B>2", "C^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: oooooooBBBooAACDEoFoCDEGFHIDEGoHIooG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB>2,C^2,Dv1,Dv1,A>4\n"]}} {"board": "BoooCDBAAoCDBEooCooEFFGGoEHHHoIIJJoo", "size": 6, "moves": 8, "solution": ["A>1", "E^2", "F<2", "G<2", "Ev2", "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: BoooCDBAAoCDBEooCooEFFGGoEHHHoIIJJoo\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,E^2,F<2,G<2,Ev2,H<1,Dv2,A>2\n"]}} {"board": "AAooBoooCCBoooooBoDDEFFoooEooooGGooo", "size": 6, "moves": 5, "solution": ["C<2", "E^2", "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: AAooBoooCCBoooooBoDDEFFoooEooooGGooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,E^2,F<1,Bv1,A>4\n"]}} {"board": "oooooBoCDDDBoCoooBAAEoooFGEoooFGEooo", "size": 6, "moves": 8, "solution": ["Bv2", "C>1", "E^3", "A>3", "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: oooooBoCDDDBoCoooBAAEoooFGEoooFGEooo\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,C>1,E^3,A>3,Bv2,C<1,E^2,A>1\n"]}} {"board": "ooooooooooBoooAABooooCBooooCoooooCDD", "size": 6, "moves": 6, "solution": ["A<1", "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: ooooooooooBoooAABooooCBooooCoooooCDD\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<1,C^1,D<3,Bv2,Bv1,A>3\n"]}} {"board": "oooBBBCCCooDoooAADEooFoDEoGFHHEoGooo", "size": 6, "moves": 6, "solution": ["B<3", "A<2", "F^3", "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: oooBBBCCCooDoooAADEooFoDEoGFHHEoGooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<3,A<2,F^3,H<1,Ev2,A>3\n"]}} {"board": "AAoBoCDooBECDFFFEoDGHIJooGHIJooGoIJo", "size": 6, "moves": 5, "solution": ["Cv1", "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: AAoBoCDooBECDFFFEoDGHIJooGHIJooGoIJo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Cv2,E<1,Bv1,A>4\n"]}} {"board": "ooAABCDDDEBCoFFEGCooHEGoooHoGoooHIII", "size": 6, "moves": 7, "solution": ["Cv1", "F<1", "H^1", "I<2", "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: ooAABCDDDEBCoFFEGCooHEGoooHoGoooHIII\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,F<1,H^1,I<2,Hv1,Bv1,A>2\n"]}} {"board": "ooBoCoooBoCoDoAACoDoooEEoooooooFFGGo", "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: ooBoCoooBoCoDoAACoDoooEEoooooooFFGGo\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": "oooooooBBBoooooCCCDAAEoFDooEoFooGGGF", "size": 6, "moves": 5, "solution": ["B<1", "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: oooooooBBBoooooCCCDAAEoFDooEoFooGGGF\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,C<3,E^2,F^3,A>3\n"]}} {"board": "BCAAoDBCEEoDFGGGHHFoooooFoIIoooJJKKK", "size": 6, "moves": 5, "solution": ["Fv1", "F<1", "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: BCAAoDBCEEoDFGGGHHFoooooFoIIoooJJKKK\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nFv1,F<1,G<1,Dv1,A>2\n"]}} {"board": "ooooBooAAoBoooCoBoooCooDooCEEDoFFooD", "size": 6, "moves": 6, "solution": ["A<1", "C^1", "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: ooooBooAAoBoooCoBoooCooDooCEEDoFFooD\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<1,C^1,E<3,Bv2,Bv1,A>4\n"]}} {"board": "oAABCDoooBCDoEEEoDoooooooooFGGoooFoo", "size": 6, "moves": 5, "solution": ["Cv1", "Cv1", "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: oAABCDoooBCDoEEEoDoooooooooFGGoooFoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Cv1,E<1,Bv1,A>3\n"]}} {"board": "oooBBBooCCCoAAoooDoEFGGDHEFIoDHooIJJ", "size": 6, "moves": 7, "solution": ["Ev1", "Ev1", "E<2", "I^1", "J<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: oooBBBooCCCoAAoooDoEFGGDHEFIoDHooIJJ\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,Ev1,E<2,I^1,J<1,Dv1,A>4\n"]}} {"board": "oooooooooooBooAAoBoCoDDBoCEEFFoooooo", "size": 6, "moves": 5, "solution": ["C^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: oooooooooooBooAAoBoCoDDBoCEEFFoooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,E<1,F<1,Bv2,A>2\n"]}} {"board": "BooAACBooDoCBooDEEooFFFoooGGGoooooHH", "size": 6, "moves": 6, "solution": ["A<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: BooAACBooDoCBooDEEooFFFoooGGGoooooHH\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<2,D^1,E<3,Cv1,Cv1,A>3\n"]}} {"board": "oooooooooooBCCCoDBEEEFDoooGFDoAAGFoo", "size": 6, "moves": 5, "solution": ["D^2", "F^3", "F>3", "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: oooooooooooBCCCoDBEEEFDoooGFDoAAGFoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,F^3,F>3,G^1,A>4\n"]}} {"board": "BoCoooBoCoDoAAooDEFGGGHEFoooHEFoIIJJ", "size": 6, "moves": 5, "solution": ["D^1", "I<1", "J<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: BoCoooBoCoDoAAooDEFGGGHEFoooHEFoIIJJ\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,I<1,J<1,Ev1,A>4\n"]}} {"board": "oooooooooooooooBBBAAoCDEoooCDEoooCDE", "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: oooooooooooooooBBBAAoCDEoooCDEoooCDE\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": "AABCDooEBCDooEBoFoGEooFHGIIJFHGKKJoH", "size": 6, "moves": 5, "solution": ["Bv1", "Bv1", "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: AABCDooEBCDooEBoFoGEooFHGIIJFHGKKJoH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,Fv1,Bv1,A>4\n"]}} {"board": "BoCDDDBECFGoBEoFGoAAoFGHoIIooHoooJJH", "size": 6, "moves": 8, "solution": ["Cv1", "A>1", "Bv1", "B<3", "F^1", "G^1", "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: BoCDDDBECFGoBEoFGoAAoFGHoIIooHoooJJH\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,A>1,Bv1,B<3,F^1,G^1,H^3,A>3\n"]}} {"board": "oooBBBoooCCCDDDooooAAEFooooEFGooHHFG", "size": 6, "moves": 5, "solution": ["B<2", "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: oooBBBoooCCCDDDooooAAEFooooEFGooHHFG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,C<3,E^2,F^3,A>3\n"]}} {"board": "ooBBBoooooCDoAAoCDoooEoDFFFEGGoooooo", "size": 6, "moves": 6, "solution": ["B<2", "C^1", "E^3", "G<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: ooBBBoooooCDoAAoCDoooEoDFFFEGGoooooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,C^1,E^3,G<1,Ev2,A>3\n"]}} {"board": "oAABooooCBooooCBoooDoEoooDoEFFoDGGHH", "size": 6, "moves": 5, "solution": ["D^1", "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: oAABooooCBooooCBoooDoEoooDoEFFoDGGHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,G<1,Ev1,Bv1,A>3\n"]}} {"board": "oAAooBoooooBoooooBoCDEEEoCDoooooDooo", "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: oAAooBoooooBoooooBoCDEEEoCDoooooDooo\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": "oBoooooBCCCoooooooAAoDEFoooDEFGGooEo", "size": 6, "moves": 7, "solution": ["Dv1", "A>2", "Bv2", "B<1", "D^3", "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: oBoooooBCCCoooooooAAoDEFoooDEFGGooEo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,A>2,Bv2,B<1,D^3,E^2,A>2\n"]}} {"board": "oooBCoAAoBCoooDEEEFoDoooFooGGGFoooHH", "size": 6, "moves": 5, "solution": ["Dv1", "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: oooBCoAAoBCoooDEEEFoDoooFooGGGFoooHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,D<3,Bv2,Bv2,A>4\n"]}} {"board": "AAoBoooooBCCDoEFFFDoEGGGDoooHoooooHo", "size": 6, "moves": 5, "solution": ["Dv1", "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: AAoBoooooBCCDoEFFFDoEGGGDoooHoooooHo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,Dv1,D<3,Bv1,A>4\n"]}} {"board": "oBoooooBooCDEEEoCDoAAFGDHIIFGoHooJJJ", "size": 6, "moves": 5, "solution": ["D^1", "F^2", "J<2", "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: oBoooooBooCDEEEoCDoAAFGDHIIFGoHooJJJ\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,F^2,J<2,Gv1,A>3\n"]}} {"board": "ooooBoooooBoooAABooooCDDoooCEEFFoCoo", "size": 6, "moves": 7, "solution": ["A<1", "C^3", "D<3", "E<3", "Bv3", "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: ooooBoooooBoooAABooooCDDoooCEEFFoCoo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<1,C^3,D<3,E<3,Bv3,Bv3,A>3\n"]}} {"board": "oooooooooooooBBBoCAAoDECoooDEooFFDEo", "size": 6, "moves": 5, "solution": ["B<1", "C^1", "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: oooooooooooooBBBoCAAoDECoooDEooFFDEo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,C^1,D^3,E^3,A>4\n"]}} {"board": "ooAABCooooBCooDDBCEFoGGGEFoHooEIIHoo", "size": 6, "moves": 5, "solution": ["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: ooAABCooooBCooDDBCEFoGGGEFoHooEIIHoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^2,G<2,Bv1,Bv1,A>2\n"]}} {"board": "oooooBAACooBooCooBooCoooDDDoooooooEE", "size": 6, "moves": 7, "solution": ["D>3", "Cv1", "A>3", "C^1", "D<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: oooooBAACooBooCooBooCoooDDDoooooooEE\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nD>3,Cv1,A>3,C^1,D<1,Bv2,A>1\n"]}} {"board": "ooooooBooCCCBooooooooDEFoAADEFGGoDEF", "size": 6, "moves": 6, "solution": ["Bv1", "B<3", "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: ooooooBooCCCBooooooooDEFoAADEFGGoDEF\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,B<3,D^2,E^2,F^2,A>3\n"]}} {"board": "BAAooCBoDooCEFDGGGEFHHHIoFJJKIoLLLKI", "size": 6, "moves": 5, "solution": ["A>2", "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: BAAooCBoDooCEFDGGGEFHHHIoFJJKIoLLLKI\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,D^1,G<1,Dv1,A>1\n"]}} {"board": "BoooooBooCCCooooDooooEDFAAoEDFGGoEoF", "size": 6, "moves": 6, "solution": ["Bv2", "B<3", "D^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: BoooooBooCCCooooDooooEDFAAoEDFGGoEoF\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,B<3,D^1,E^2,F^2,A>4\n"]}} {"board": "ooooBoCCCoBooDDDBoAAooEooFGGEooFoHHH", "size": 6, "moves": 5, "solution": ["A>2", "F^1", "H<2", "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: ooooBoCCCoBooDDDBoAAooEooFGGEooFoHHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,F^1,H<2,Fv1,A>2\n"]}} {"board": "ooooooBCoDDDBCEoooBoEFFFAAEoGHoIIIGH", "size": 6, "moves": 5, "solution": ["E^2", "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: ooooooBCoDDDBCEoooBoEFFFAAEoGHoIIIGH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^2,F<2,G^2,H^2,A>4\n"]}} {"board": "ooBooooCBDDDoCBooooCoooEooAAoEooFFFE", "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: ooBooooCBDDDoCBooooCoooEooAAoEooFFFE\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": "oBoCCCDBoEEEDBooFoooAAFooGGoFooooHHH", "size": 6, "moves": 6, "solution": ["G>1", "Bv2", "B<2", "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: oBoCCCDBoEEEDBooFoooAAFooGGoFooooHHH\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nG>1,Bv2,B<2,D<2,F^2,A>2\n"]}} {"board": "oooBBBCAADoECooDoEFGoooEFGHIIIFoHooo", "size": 6, "moves": 5, "solution": ["Dv1", "H^2", "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: oooBBBCAADoECooDoEFGoooEFGHIIIFoHooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,H^2,I<1,Dv1,A>3\n"]}} {"board": "AABooooCBDDooCBoEFGCHHEFGoIIoFooooJJ", "size": 6, "moves": 5, "solution": ["J<2", "Ev2", "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: AABooooCBDDooCBoEFGCHHEFGoIIoFooooJJ\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nJ<2,Ev2,G>1,Bv1,A>4\n"]}} {"board": "oooBBBooCCCooooDDDoAAEoooooEoooooEFF", "size": 6, "moves": 5, "solution": ["B<3", "C<2", "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: oooBBBooCCCooooDDDoAAEoooooEoooooEFF\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<3,C<2,D<3,E^3,A>3\n"]}} {"board": "oBCDDDoBCEEEFBooGoFAAoGHFIJJoHoIoKKH", "size": 6, "moves": 8, "solution": ["K<1", "Gv2", "A>2", "Cv2", "C<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: oBCDDDoBCEEEFBooGoFAAoGHFIJJoHoIoKKH\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nK<1,Gv2,A>2,Cv2,C<1,D<1,G^3,A>1\n"]}} {"board": "oBCCCooBoDoEoAADFEGHIDFEGHIoFoGooJJJ", "size": 6, "moves": 6, "solution": ["G^1", "J<3", "Dv2", "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: oBCCCooBoDoEoAADFEGHIDFEGHIoFoGooJJJ\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nG^1,J<3,Dv2,Dv2,Ev1,A>3\n"]}} {"board": "oBBBoCooAAoCDEEEFCDoGGFoDHoIJJoHoIoo", "size": 6, "moves": 7, "solution": ["Dv1", "D<1", "G<1", "I^2", "J<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: oBBBoCooAAoCDEEEFCDoGGFoDHoIJJoHoIoo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,D<1,G<1,I^2,J<1,Cv2,A>2\n"]}} {"board": "oooooBoooAABoooooBoooCCCooDEEEooDFFo", "size": 6, "moves": 5, "solution": ["D^3", "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: oooooBoooAABoooooBoooCCCooDEEEooDFFo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^3,D<1,E<1,Bv2,A>1\n"]}} {"board": "ooAAoBooCCoBoooooBooDEEEooDoFoooDoFo", "size": 6, "moves": 6, "solution": ["A>1", "C<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: ooAAoBooCCoBoooooBooDEEEooDoFoooDoFo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,C<2,D^3,E<1,Cv1,A>1\n"]}} {"board": "oBAACooBoDCooooDEEFFoooGHIIIJGHKKKJG", "size": 6, "moves": 7, "solution": ["F>1", "H^2", "I<1", "Dv2", "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: oBAACooBoDCooooDEEFFoooGHIIIJGHKKKJG\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nF>1,H^2,I<1,Dv2,E<2,Cv1,A>2\n"]}} {"board": "ooooBoAAooBCooooBCDEFFooDEGoHHDEGIII", "size": 6, "moves": 9, "solution": ["A>2", "Cv1", "D^3", "E^3", "F<2", "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: ooooBoAAooBCooooBCDEFFooDEGoHHDEGIII\nOptimal length (moves): 9\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,Cv1,D^3,E^3,F<2,G^2,H<2,Dv2,A>2\n"]}} {"board": "ooooooBCooooBCoDDDBooEooAAoEoooooEFF", "size": 6, "moves": 6, "solution": ["C^1", "A>1", "Cv2", "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: ooooooBCooooBCoDDDBooEooAAoEoooooEFF\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A>1,Cv2,C<3,E^2,A>3\n"]}} {"board": "oAAoBoooCDBoooCDEEFGCHHoFGoIIIFGoooo", "size": 6, "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 (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAoBoooCDBoooCDEEFGCHHoFGoIIIFGoooo\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": "BoooCoBoooCoAADoCoooDoooooooEEoooFFF", "size": 6, "moves": 5, "solution": ["D^2", "E<2", "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: BoooCoBoooCoAADoCoooDoooooooEEoooFFF\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,E<2,F<2,Dv3,A>4\n"]}} {"board": "ooooooBCooooBCoDDDoCooEFooooEFAAooEF", "size": 6, "moves": 6, "solution": ["A>2", "Cv2", "C<2", "E^1", "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: ooooooBCooooBCoDDDoCooEFooooEFAAooEF\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,Cv2,C<2,E^1,F^1,A>2\n"]}} {"board": "BoAAoCBDDDoCBooEEFoooooFoooooFoGGHHH", "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: BoAAoCBDDDoCBooEEFoooooFoooooFoGGHHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,H<1,Fv1,Cv1,A>2\n"]}} {"board": "oooooooAABCDoooBCDoooBEEooooooooFFoo", "size": 6, "moves": 6, "solution": ["B^1", "E<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: oooooooAABCDoooBCDoooBEEooooooooFFoo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,E<3,Bv2,Bv1,Bv1,A>3\n"]}} {"board": "oooooooBoCoooBoCoooBDDDEAAooFEooooFo", "size": 6, "moves": 5, "solution": ["B^1", "D<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: oooooooBoCoooBoCoooBDDDEAAooFEooooFo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,D<1,E^1,F^2,A>4\n"]}} {"board": "BCDDDEBCoAAEoCFooEGGFHHHoooIIIJJooKK", "size": 6, "moves": 5, "solution": ["F^1", "H<1", "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: BCDDDEBCoAAEoCFooEGGFHHHoooIIIJJooKK\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,H<1,I<1,Ev2,A>1\n"]}} {"board": "oooBCooAABCDoooooDoooEEDoFFGGGoooooo", "size": 6, "moves": 7, "solution": ["E<2", "Bv2", "Bv2", "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: oooBCooAABCDoooooDoooEEDoFFGGGoooooo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<2,Bv2,Bv2,F<1,G<1,Bv1,A>3\n"]}} {"board": "oBBBCoooDoCoooDoooooEFooooEFooAAEooo", "size": 6, "moves": 5, "solution": ["Cv1", "B>2", "C^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: oBBBCoooDoCoooDoooooEFooooEFooAAEooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,B>2,C^1,E^1,A>4\n"]}} {"board": "ooooooBBBooooooooooooCCCAADEooooDEoo", "size": 6, "moves": 5, "solution": ["B>3", "D^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: ooooooBBBooooooooooooCCCAADEooooDEoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB>3,D^3,D<3,E^2,A>4\n"]}} {"board": "oBAAoCoBoooCDEEEFFDooooGooHHHGoIIooG", "size": 6, "moves": 5, "solution": ["D^2", "E<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: oBAAoCoBoooCDEEEFFDooooGooHHHGoIIooG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,E<1,F<1,Dv1,A>2\n"]}} {"board": "BBBoCoDoAACEDoFFoEGHoIIIGHJKKKGHJooo", "size": 6, "moves": 7, "solution": ["Cv1", "B>2", "H^3", "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: BBBoCoDoAACEDoFFoEGHoIIIGHJKKKGHJooo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,B>2,H^3,I<2,Ev1,Ev1,A>2\n"]}} {"board": "oAAoBCDDDoBCoEoFFCGEooHHGEoIIIGoJJKK", "size": 6, "moves": 5, "solution": ["F<1", "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: oAAoBCDDDoBCoEoFFCGEooHHGEoIIIGoJJKK\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Bv1,H<1,Bv1,A>3\n"]}} {"board": "oooBoooooBoooAABCoDoooCoDoooCoDoEEEo", "size": 6, "moves": 5, "solution": ["D^1", "E<2", "Bv3", "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: oooBoooooBoooAABCoDoooCoDoooCoDoEEEo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E<2,Bv3,Cv1,A>3\n"]}} {"board": "oooBBBoooooooooooCooDDDCooEooCAAEooo", "size": 6, "moves": 5, "solution": ["B<1", "C^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: oooBBBoooooooooooCooDDDCooEooCAAEooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,C^2,D>1,E^1,A>4\n"]}} {"board": "ooooBoooooBoooAABooCDEEEoCDooooCoooo", "size": 6, "moves": 5, "solution": ["C^3", "Dv1", "D<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: ooooBoooooBoooAABooCDEEEoCDooooCoooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^3,Dv1,D<2,Cv3,A>2\n"]}} {"board": "ooAABCoDDoBCEEEoBCooFFGoHIooGoHIoJJJ", "size": 6, "moves": 6, "solution": ["Cv1", "I^1", "J<2", "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: ooAABCoDDoBCEEEoBCooFFGoHIooGoHIoJJJ\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,I^1,J<2,Hv1,Bv1,A>2\n"]}} {"board": "oAAoBooCCDBooEoDFooEGDFooHGoFooHGoII", "size": 6, "moves": 5, "solution": ["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: oAAoBooCCDBooEoDFooEGDFooHGoFooHGoII\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nG^1,I<2,Gv1,Bv1,A>3\n"]}} {"board": "BBBoCoooooCoAAooCoDEEFooDoGFooDoGFHH", "size": 6, "moves": 10, "solution": ["B>1", "A>1", "D^3", "E<1", "F^1", "G^1", "H<3", "Dv3", "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: BBBoCoooooCoAAooCoDEEFooDoGFooDoGFHH\nOptimal length (moves): 10\nReturn only the and blocks.", "\nShortest path found.\n\n\nB>1,A>1,D^3,E<1,F^1,G^1,H<3,Dv3,Dv1,A>3\n"]}} {"board": "BBBooCDooAACDEoooFoEGooFooGHIIJJoHKK", "size": 6, "moves": 6, "solution": ["H^2", "I<1", "K<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: BBBooCDooAACDEoooFoEGooFooGHIIJJoHKK\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nH^2,I<1,K<1,Gv2,Cv2,A>1\n"]}} {"board": "ooBBBooooCCCoooDDDAAEFooGoEFoHGooFoH", "size": 6, "moves": 6, "solution": ["B<2", "C<3", "D<3", "Ev1", "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: ooBBBooooCCCoooDDDAAEFooGoEFoHGooFoH\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,C<3,D<3,Ev1,E^3,A>4\n"]}} {"board": "oAAooBoooooBCooooBCooDEECooDooFFFDoo", "size": 6, "moves": 5, "solution": ["D^3", "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: oAAooBoooooBCooooBCooDEECooDooFFFDoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^3,E<3,Bv1,Bv1,A>3\n"]}} {"board": "ooooBoCAAoBoCoDDooCEFFFooEoGGGoEHHII", "size": 6, "moves": 5, "solution": ["A>1", "E^3", "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: ooooBoCAAoBoCoDDooCEFFFooEoGGGoEHHII\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,E^3,F<1,Cv2,A>2\n"]}} {"board": "BooooCBAAooCDooEEEDoFGHHDIFGoooIFooo", "size": 6, "moves": 5, "solution": ["E<1", "Gv1", "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: BooooCBAAooCDooEEEDoFGHHDIFGoooIFooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,Gv1,G<1,Cv2,A>3\n"]}} {"board": "oBBBoooooCooAAoCooDooCooDoEEEoDooooo", "size": 6, "moves": 5, "solution": ["A>1", "D^2", "E<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: oBBBoooooCooAAoCooDooCooDoEEEoDooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,D^2,E<2,Dv2,A>3\n"]}} {"board": "oAABoCoooBoCDooooCDEFGGGDEFooooooooo", "size": 6, "moves": 5, "solution": ["Bv1", "F^2", "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: oAABoCoooBoCDooooCDEFGGGDEFooooooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,F^2,G<1,Bv1,A>3\n"]}} {"board": "BBBoCDAAooCDoooooooEFFFooEoooooEoooo", "size": 6, "moves": 8, "solution": ["Cv1", "B>2", "Cv2", "A>2", "E^3", "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: BBBoCDAAooCDoooooooEFFFooEoooooEoooo\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,B>2,Cv2,A>2,E^3,F<1,Dv1,A>2\n"]}} {"board": "BoAACDBoooCDBEooCDFEoGGGFooHHHFIIooo", "size": 6, "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 (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoAACDBoooCDBEooCDFEoGGGFooHHHFIIooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,G<2,Cv1,Cv1,A>2\n"]}} {"board": "ooooBoooooBoooAABoooCCoooDoEoooDoEFF", "size": 6, "moves": 5, "solution": ["C<1", "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: ooooBoooooBoooAABoooCCoooDoEoooDoEFF\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,E^1,F<2,Bv3,A>2\n"]}} {"board": "BoooCDBAAoCDoooEEEoooFFFoooooooooooo", "size": 6, "moves": 5, "solution": ["E<2", "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: BoooCDBAAoCDoooEEEoooFFFoooooooooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<2,F<2,Cv2,Cv2,A>3\n"]}} {"board": "oooBoCAAoBoCoooooCooooooooDDEEoooooo", "size": 6, "moves": 5, "solution": ["Bv2", "D<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: oooBoCAAoBoCoooooCooooooooDDEEoooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,D<1,E<1,Bv2,A>4\n"]}} {"board": "oBBBCoAAooCoooooCoooDooooEDoFFoEDooo", "size": 6, "moves": 6, "solution": ["D^2", "E^2", "F<4", "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: oBBBCoAAooCoooooCoooDooooEDoFFoEDooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,E^2,F<4,Cv2,Cv1,A>4\n"]}} {"board": "BBBooooooAACoooDDCEFFGGCEHHHIIEoooJJ", "size": 6, "moves": 5, "solution": ["E^2", "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: BBBooooooAACoooDDCEFFGGCEHHHIIEoooJJ\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^2,H<1,I<1,Dv1,A>1\n"]}} {"board": "oBBBCoooDoCoooDEooAADEooooFFFoooGGoo", "size": 6, "moves": 5, "solution": ["Cv1", "B>2", "C^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: oBBBCoooDoCoooDEooAADEooooFFFoooGGoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,B>2,C^1,E^1,A>4\n"]}} {"board": "oooBoooAABCooooDCoEooDFFEooooGooHHHG", "size": 6, "moves": 6, "solution": ["H<2", "Dv2", "E<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: oooBoooAABCooooDCoEooDFFEooooGooHHHG\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nH<2,Dv2,E<3,Bv2,Bv1,A>3\n"]}} {"board": "oBoooCoBAAoCoBDDEEooFGGGooFoooooFooo", "size": 6, "moves": 8, "solution": ["Bv3", "A>1", "C<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: oBoooCoBAAoCoBDDEEooFGGGooFoooooFooo\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv3,A>1,C<2,D<1,F^3,G<1,Cv2,A>1\n"]}} {"board": "ooAAoBCCoDoBooEDFFoGEHoIoGoHJIKKKHJI", "size": 6, "moves": 7, "solution": ["A<1", "D^1", "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: ooAAoBCCoDoBooEDFFoGEHoIoGoHJIKKKHJI\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<1,D^1,Ev1,E<3,Bv1,Bv1,A>3\n"]}} {"board": "oAABoCooDBoCooDooCEFDGGGEFHIIIoFHJJo", "size": 6, "moves": 6, "solution": ["Bv1", "A>2", "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: oAABoCooDBoCooDooCEFDGGGEFHIIIoFHJJo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,A>2,C^1,G<1,Cv1,A>1\n"]}} {"board": "oBBBCoooAACooDooEEoDooFooDGGFooooHHH", "size": 6, "moves": 5, "solution": ["E<2", "H<2", "Fv1", "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: oBBBCoooAACooDooEEoDooFooDGGFooooHHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<2,H<2,Fv1,Cv2,A>2\n"]}} {"board": "ooooooooooooBCCCooBooDDDEAAFooEooFoo", "size": 6, "moves": 5, "solution": ["B^2", "C<1", "D<3", "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: ooooooooooooBCCCooBooDDDEAAFooEooFoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^2,C<1,D<3,F^2,A>3\n"]}} {"board": "ooBBBoCCCDoEAAoDoEFFGDoEooGoHHoooIII", "size": 6, "moves": 7, "solution": ["G^1", "H<4", "Fv1", "I<3", "Dv2", "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: ooBBBoCCCDoEAAoDoEFFGDoEooGoHHoooIII\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nG^1,H<4,Fv1,I<3,Dv2,Dv2,A>4\n"]}} {"board": "ooooooBBBCCCAAoooDoooooDooEFFFooEooo", "size": 6, "moves": 5, "solution": ["A>3", "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: ooooooBBBCCCAAoooDoooooDooEFFFooEooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>3,E^2,F<1,Ev1,A>1\n"]}} {"board": "oAAoBooCDDBooCooBooCoEEEFFooGGoooHHH", "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: oAAoBooCDDBooCooBooCoEEEFFooGGoooHHH\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": "BooCCCBoAADoBEEEDoFFGoHIooGoHIooGoJJ", "size": 6, "moves": 10, "solution": ["C<2", "D^1", "E>2", "G^1", "J<4", "Ev1", "E<2", "Hv1", "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: BooCCCBoAADoBEEEDoFFGoHIooGoHIooGoJJ\nOptimal length (moves): 10\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,D^1,E>2,G^1,J<4,Ev1,E<2,Hv1,Dv2,A>2\n"]}} {"board": "oooBCooAABCoooooooooDDEEoFoooooFooGG", "size": 6, "moves": 5, "solution": ["D<2", "Bv4", "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: oooBCooAABCoooooooooDDEEoFoooooFooGG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<2,Bv4,D<2,Bv2,A>3\n"]}} {"board": "ooBCCCAABoDooEFFDoGEoooHGEIIJHGoooJH", "size": 6, "moves": 5, "solution": ["Dv1", "Dv1", "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: ooBCCCAABoDooEFFDoGEoooHGEIIJHGoooJH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,Dv1,D<2,Bv2,A>4\n"]}} {"board": "oAAooBooCooBDDCEEEooCFFFoooooooGGooo", "size": 6, "moves": 5, "solution": ["G<1", "Cv2", "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: oAAooBooCooBDDCEEEooCFFFoooooooGGooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,Cv2,D<1,Bv1,A>3\n"]}} {"board": "oAABCooooBCoDooBooDooEEEDoooFFooooGG", "size": 6, "moves": 5, "solution": ["Cv1", "D^2", "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: oAABCooooBCoDooBooDooEEEDoooFFooooGG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,D^2,E<3,Cv1,A>3\n"]}} {"board": "ooooBoooooBooAACBooooCooDDoooooEEoFF", "size": 6, "moves": 5, "solution": ["C^2", "E<1", "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: ooooBoooooBooAACBooooCooDDoooooEEoFF\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,E<1,F<2,Cv3,A>3\n"]}} {"board": "BBBCoDoooCoDAAECoDooEoooFoGGHoFoIIHo", "size": 6, "moves": 7, "solution": ["Dv3", "G<1", "I<1", "Cv3", "B>3", "C^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: BBBCoDoooCoDAAECoDooEoooFoGGHoFoIIHo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv3,G<1,I<1,Cv3,B>3,C^2,A>4\n"]}} {"board": "BBBCoDoooCEDoAACEooooFFFooGGoooHHHII", "size": 6, "moves": 6, "solution": ["E^1", "F<3", "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: BBBCoDoooCEDoAACEooooFFFooGGoooHHHII\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,F<3,G<1,H<1,Cv3,A>3\n"]}} {"board": "oBoooooBoAACDBoooCDEEEFFGHHIIoGooooo", "size": 6, "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 (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oBoooooBoAACDBoooCDEEEFFGHHIIoGooooo\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": "ooooooBBBCCCoDAAoEFDoGGEFHHHoEFIIIJJ", "size": 6, "moves": 5, "solution": ["F^1", "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: ooooooBBBCCCoDAAoEFDoGGEFHHHoEFIIIJJ\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,I<1,J<1,Fv1,A>2\n"]}} {"board": "ooBCCCooBDooooBDooooAAoEFooooEFooooE", "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: ooBCCCooBDooooBDooooAAoEFooooEFooooE\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": "ooAABCoDEoBCoDEoFFoDoGGooHoIIIoHooJJ", "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: ooAABCoDEoBCoDEoFFoDoGGooHoIIIoHooJJ\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv2,E<2,Bv1,Bv1,A>2\n"]}} {"board": "AAooBCoDEoBCoDEFFFGHEoIIGHJJooGHoKKo", "size": 6, "moves": 8, "solution": ["A>2", "D^1", "J>1", "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: AAooBCoDEoBCoDEFFFGHEoIIGHJJooGHoKKo\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,D^1,J>1,Ev2,E<2,Cv1,Cv1,A>2\n"]}} {"board": "ooooBoooooBoAAooBoCCDooooEDooooEDFFo", "size": 6, "moves": 12, "solution": ["D^3", "D>3", "Bv3", "A>2", "E^4", "A<2", "D^3", "E<3", "F<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: ooooBoooooBoAAooBoCCDooooEDooooEDFFo\nOptimal length (moves): 12\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^3,D>3,Bv3,A>2,E^4,A<2,D^3,E<3,F<3,Cv3,Cv3,A>4\n"]}} {"board": "ooBBBoooooooAAoooCooDDDCoooEoCFFFEGG", "size": 6, "moves": 5, "solution": ["D<2", "E^1", "G<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: ooBBBoooooooAAoooCooDDDCoooEoCFFFEGG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<2,E^1,G<1,Cv1,A>4\n"]}} {"board": "ooooBCoAAoBCDDDooCooEEFFGGGoHHoIIIoo", "size": 6, "moves": 6, "solution": ["E<2", "F<2", "Bv2", "H<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: ooooBCoAAoBCDDDooCooEEFFGGGoHHoIIIoo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<2,F<2,Bv2,H<1,Bv2,A>3\n"]}} {"board": "AABCooooBCoooDEoooFDEGGGFoEHHHFIIoJJ", "size": 6, "moves": 6, "solution": ["Cv1", "F^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: AABCooooBCoooDEoooFDEGGGFoEHHHFIIoJJ\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,F^1,I<1,Fv1,Bv1,A>4\n"]}} {"board": "BBBoooooooooooCDDDooCoEFAAoGEFoooGEF", "size": 6, "moves": 7, "solution": ["B>3", "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: BBBoooooooooooCDDDooCoEFAAoGEFoooGEF\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nB>3,C^2,D<3,E^2,F^2,G^2,A>4\n"]}} {"board": "BoCDDDBoCoEFAACoEFoGHHooIGJJJKIGLLoK", "size": 6, "moves": 14, "solution": ["H>1", "Cv1", "C<2", "E^1", "F^1", "K^2", "K>1", "L>1", "Fv2", "A>3", "H^2", "K<1", "Gv1", "A>1"], "difficulty": "hard", "messages": {"role": ["system", "user", "assistant"], "content": ["You are an expert Rush Hour (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: BoCDDDBoCoEFAACoEFoGHHooIGJJJKIGLLoK\nOptimal length (moves): 14\nReturn only the and blocks.", "\nShortest path found.\n\n\nH>1,Cv1,C<2,E^1,F^1,K^2,K>1,L>1,Fv2,A>3,H^2,K<1,Gv1,A>1\n"]}} {"board": "oAAoBoCoooBDCEFGGDoEFHooIIFHoJKKLLoJ", "size": 6, "moves": 5, "solution": ["L>1", "Fv1", "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: oAAoBoCoooBDCEFGGDoEFHooIIFHoJKKLLoJ\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nL>1,Fv1,F<1,Bv1,A>3\n"]}} {"board": "oBBBoCooAAoCDooEEEDoFooGDoFHoGooFHII", "size": 6, "moves": 6, "solution": ["E<1", "H^1", "I<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: oBBBoCooAAoCDooEEEDoFooGDoFHoGooFHII\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,H^1,I<1,Hv1,Cv2,A>2\n"]}} {"board": "AAoBoooooBCCDDDBooEFGHIoEFGHIoEFJJIo", "size": 6, "moves": 5, "solution": ["I^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: AAoBoooooBCCDDDBooEFGHIoEFGHIoEFJJIo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nI^1,J>2,Iv1,Bv1,A>4\n"]}} {"board": "BAAoCoBDDECoBooEFFooGGGoooHHIoooooIo", "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: BAAoCoBDDECoBooEFFooGGGoooHHIoooooIo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,F<3,Cv1,Cv1,A>3\n"]}} {"board": "oBCCCDoBAAoDoBooooEFFGGGEooHHHEoIIoo", "size": 6, "moves": 5, "solution": ["E^3", "F<1", "G<1", "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: oBCCCDoBAAoDoBooooEFFGGGEooHHHEoIIoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^3,F<1,G<1,Ev2,A>2\n"]}} {"board": "ooooBoooAABooCDDEEoCFGGHIIFJJHoKKKoH", "size": 6, "moves": 9, "solution": ["C^2", "D<2", "E<2", "H^1", "K>2", "Gv1", "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: ooooBoooAABooCDDEEoCFGGHIIFJJHoKKKoH\nOptimal length (moves): 9\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,D<2,E<2,H^1,K>2,Gv1,G<1,Cv2,A>2\n"]}} {"board": "AAoooBoooCCBDDEFFFGoEoHHGIJJooGIoKKK", "size": 6, "moves": 5, "solution": ["A>3", "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: AAoooBoooCCBDDEFFFGoEoHHGIJJooGIoKKK\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>3,E^2,F<1,Cv1,A>1\n"]}} {"board": "ooooooooooooooBBBoooCoooAACDoooooDoo", "size": 6, "moves": 5, "solution": ["B<2", "D^4", "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: ooooooooooooooBBBoooCoooAACDoooooDoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,D^4,C>3,D^1,A>4\n"]}} {"board": "AAoooBCoDooBCoDEEEFGGooHFIJooHoIJKKo", "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: AAoooBCoDooBCoDEEEFGGooHFIJooHoIJKKo\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": "ooooooBCooooBCDDDoECooFoEoooFGEAAoFG", "size": 6, "moves": 6, "solution": ["G^1", "A>1", "Cv2", "C<1", "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: ooooooBCooooBCDDDoECooFoEoooFGEAAoFG\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nG^1,A>1,Cv2,C<1,F^1,A>2\n"]}} {"board": "oooBoCDAABoCDooEEEDoooooooooooFFoooo", "size": 6, "moves": 6, "solution": ["F>1", "Dv2", "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: oooBoCDAABoCDooEEEDoooooooooooFFoooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nF>1,Dv2,D<3,Bv2,Bv2,A>3\n"]}} {"board": "AABCooooBCoDooEEEDFooGoDFHoGooFHoGII", "size": 6, "moves": 11, "solution": ["E<2", "G^1", "H^1", "I<3", "Dv2", "Ev1", "D>3", "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: AABCooooBCoDooEEEDFooGoDFHoGooFHoGII\nOptimal length (moves): 11\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<2,G^1,H^1,I<3,Dv2,Ev1,D>3,Bv3,C<3,Bv1,A>4\n"]}} {"board": "ooAAoBooooCBooooCBoooooDoEEooDoFFGGG", "size": 6, "moves": 5, "solution": ["F<1", "G<1", "Dv1", "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: ooAAoBooooCBooooCBoooooDoEEooDoFFGGG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,G<1,Dv1,Bv1,A>2\n"]}} {"board": "oooBooCAABoDCEEooDoooFFGHIIJoGHooJKK", "size": 6, "moves": 8, "solution": ["F<2", "J^1", "K<3", "Gv1", "Bv2", "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: oooBooCAABoDCEEooDoooFFGHIIJoGHooJKK\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<2,J^1,K<3,Gv1,Bv2,Gv1,Cv1,A>3\n"]}} {"board": "ooooooAABoooooBCooDEECooDooCFFDooooo", "size": 6, "moves": 5, "solution": ["C^2", "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: ooooooAABoooooBCooDEECooDooCFFDooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,E>3,Bv2,Bv1,A>4\n"]}} {"board": "BooCCCBoooooBooDDDoEoFGooEHFGIAAHFoI", "size": 6, "moves": 7, "solution": ["H^1", "I^1", "A>1", "Bv3", "C<3", "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: BooCCCBoooooBooDDDoEoFGooEHFGIAAHFoI\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nH^1,I^1,A>1,Bv3,C<3,G^1,A>3\n"]}} {"board": "oBBBooooCooDooCooDAACooDooEEEooFFFoo", "size": 6, "moves": 7, "solution": ["B>2", "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: oBBBooooCooDooCooDAACooDooEEEooFFFoo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nB>2,C^1,A>3,Bv1,B<1,D^1,A>1\n"]}} {"board": "oooBoooAABCoDDoBCooEEECooooFFFoGGGoo", "size": 6, "moves": 5, "solution": ["E<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: oooBoooAABCoDDoBCooEEECooooFFFoGGGoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,F<3,Bv2,Bv1,A>3\n"]}} {"board": "oooBBBCDEEEoCDFFFoCDoooGAAHooGooHIIG", "size": 6, "moves": 7, "solution": ["F>1", "H^2", "A>3", "Fv1", "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: oooBBBCDEEEoCDFFFoCDoooGAAHooGooHIIG\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nF>1,H^2,A>3,Fv1,F<1,H^2,A>1\n"]}} {"board": "BAAoCDBooECDBFoECDoFoGGGooHHoooooIII", "size": 6, "moves": 5, "solution": ["F^1", "G<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: BAAoCDBooECDBFoECDoFoGGGooHHoooooIII\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,G<2,Cv1,Cv1,A>3\n"]}} {"board": "ooAAoBoCDDDBoCEEFFoGGHHHIIIJJJKKoooo", "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: ooAAoBoCDDDBoCEEFFoGGHHHIIIJJJKKoooo\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": "oBBBooCAAooDCooEEDoFGHHDIFGJJJIFGKKK", "size": 6, "moves": 5, "solution": ["A>2", "G^2", "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: oBBBooCAAooDCooEEDoFGHHDIFGJJJIFGKKK\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,G^2,J<1,Ev1,A>1\n"]}} {"board": "oooooBAACoDBEECoDBooooFFGGoHIIJJoHoo", "size": 6, "moves": 7, "solution": ["Cv3", "E<3", "Cv1", "H^2", "I<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: oooooBAACoDBEECoDBooooFFGGoHIIJJoHoo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv3,E<3,Cv1,H^2,I<1,Bv2,A>4\n"]}} {"board": "oBoooooBoooCoBoAACoDEEoCoDFGGGoDFooo", "size": 6, "moves": 5, "solution": ["E>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: oBoooooBoooCoBoAACoDEEoCoDFGGGoDFooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE>1,F^2,G<1,Cv2,A>1\n"]}} {"board": "ooBCoDooBCoDAABooDooooEEooFFFooooooo", "size": 6, "moves": 8, "solution": ["E<1", "F>1", "Bv3", "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: ooBCoDooBCoDAABooDooooEEooFFFooooooo\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,F>1,Bv3,A>3,D^2,F<1,Cv3,A>1\n"]}} {"board": "BooCCCBoooDoooAADoooEEDoooFGGGooFooo", "size": 6, "moves": 6, "solution": ["A<2", "E<2", "F^4", "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: BooCCCBoooDoooAADoooEEDoooFGGGooFooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<2,E<2,F^4,G<2,Ev2,A>4\n"]}} {"board": "ooooBCDDDoBCooAABCEoFoooEoFoooEoGGHH", "size": 6, "moves": 6, "solution": ["E^1", "G<2", "H<2", "Bv3", "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: ooooBCDDDoBCooAABCEoFoooEoFoooEoGGHH\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,G<2,H<2,Bv3,Bv3,A>2\n"]}} {"board": "oAAoBCDDooBCooooECFGHoEIFGHooIFGHooo", "size": 6, "moves": 5, "solution": ["Ev1", "Bv1", "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: oAAoBCDDooBCooooECFGHoEIFGHooIFGHooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,Bv1,Iv1,Bv1,A>3\n"]}} {"board": "ooBCCCAABooDooEEEDoFFooDooGGoooooHHH", "size": 6, "moves": 6, "solution": ["F<1", "H<1", "Dv2", "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: ooBCCCAABooDooEEEDoFFooDooGGoooooHHH\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,H<1,Dv2,D>1,Bv2,A>4\n"]}} {"board": "oooooooBoooooBoCCCoBooDoAAooDoooooDo", "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: oooooooBoooooBoCCCoBooDoAAooDoooooDo\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": "oooBBBooooCooAAoCooDDoCoooEFFFooEooo", "size": 6, "moves": 6, "solution": ["A<1", "D<1", "E^4", "F<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: oooBBBooooCooAAoCooDDoCoooEFFFooEooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<1,D<1,E^4,F<2,Dv2,A>4\n"]}} {"board": "AAoBooCooBooCDDBEECFFFGHIIIoGHoJJJoH", "size": 6, "moves": 5, "solution": ["A>1", "C^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: AAoBooCooBooCDDBEECFFFGHIIIoGHoJJJoH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,C^1,F<1,Cv1,A>3\n"]}} {"board": "AABooCooBDDCEFBoooEFGHoIEoGHJIoKKKJI", "size": 6, "moves": 12, "solution": ["I^1", "J^1", "K>2", "Hv1", "Bv1", "A>3", "C^1", "J^1", "K<1", "Gv1", "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: AABooCooBDDCEFBoooEFGHoIEoGHJIoKKKJI\nOptimal length (moves): 12\nReturn only the and blocks.", "\nShortest path found.\n\n\nI^1,J^1,K>2,Hv1,Bv1,A>3,C^1,J^1,K<1,Gv1,Cv1,A>1\n"]}} {"board": "oooooBAAoCoBDDoCoBEFoGGGEFoHHHEooooo", "size": 6, "moves": 9, "solution": ["A>1", "D>1", "E^3", "Fv1", "F<3", "Dv1", "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: oooooBAAoCoBDDoCoBEFoGGGEFoHHHEooooo\nOptimal length (moves): 9\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,D>1,E^3,Fv1,F<3,Dv1,H<1,Cv2,A>3\n"]}} {"board": "oooooooAAoBooCDDBooCoEEEoFFGooHHoGoo", "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: oooooooAAoBooCDDBooCoEEEoFFGooHHoGoo\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": "oooBBBoCCCDoEAAoDoEoooDoEFFoGGoooHHH", "size": 6, "moves": 6, "solution": ["E^1", "F<1", "G<2", "H<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: oooBBBoCCCDoEAAoDoEoooDoEFFoGGoooHHH\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,F<1,G<2,H<2,Ev2,A>3\n"]}} {"board": "oooBBBooooCooAAoCooDooCooDoooooDEEEo", "size": 6, "moves": 5, "solution": ["A>1", "D^1", "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: oooBBBooooCooAAoCooDooCooDoooooDEEEo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,D^1,E<1,Cv2,A>2\n"]}} {"board": "ooAABooCCoBooDooBEFDGGGEFooHHHIIoJJJ", "size": 6, "moves": 5, "solution": ["C>1", "D^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: ooAABooCCoBooDooBEFDGGGEFooHHHIIoJJJ\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC>1,D^1,G<1,Bv1,A>2\n"]}} {"board": "BoCCCoBooDooBooDooAAoDoooooooooooooo", "size": 6, "moves": 5, "solution": ["A>1", "Bv1", "B<2", "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: BoCCCoBooDooBooDooAAoDoooooooooooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,Bv1,B<2,D^1,A>3\n"]}} {"board": "oooBBBooCCCooDDDEoooooEoooAAFoooGGFo", "size": 6, "moves": 5, "solution": ["B<2", "C<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: oooBBBooCCCooDDDEoooooEoooAAFoooGGFo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,C<1,E^2,F^2,A>2\n"]}} {"board": "ooooBoooooBoAAoCBooDoCEEoDFFoooDooGG", "size": 6, "moves": 5, "solution": ["C^2", "E<2", "G<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: ooooBoooooBoAAoCBooDoCEEoDFFoooDooGG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,E<2,G<2,Cv3,A>4\n"]}} {"board": "ooooBooAAoBoCoooBoCoDEEoCoDoFFoGGooo", "size": 6, "moves": 8, "solution": ["C^1", "D^1", "F<4", "G<1", "Dv2", "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: ooooBooAAoBoCoooBoCoDEEoCoDoFFoGGooo\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^1,F<4,G<1,Dv2,D<1,Bv2,A>3\n"]}} {"board": "BooooCBDoAACBDEEoooDFGGGHHFoIIooFoJJ", "size": 6, "moves": 5, "solution": ["E>1", "F^3", "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: BooooCBDoAACBDEEoooDFGGGHHFoIIooFoJJ\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE>1,F^3,G<1,Dv2,A>1\n"]}} {"board": "oooooBooooCBAAooCBDDDoooEooFooEooFGG", "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: oooooBooooCBAAooCBDDDoooEooFooEooFGG\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": "oooooBCooooBCDAAoBoDEFFFGHEIIIGHEoJJ", "size": 6, "moves": 7, "solution": ["A>1", "E^3", "F<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: oooooBCooooBCDAAoBoDEFFFGHEIIIGHEoJJ\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,E^3,F<1,I<1,J<1,Cv3,A>1\n"]}} {"board": "BoooCoBoAACooDDEooooFEGGooFoHHIIIJJo", "size": 6, "moves": 12, "solution": ["J>1", "I>1", "Bv4", "A<2", "C<1", "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: BoooCoBoAACooDDEooooFEGGooFoHHIIIJJo\nOptimal length (moves): 12\nReturn only the and blocks.", "\nShortest path found.\n\n\nJ>1,I>1,Bv4,A<2,C<1,D^1,E^2,F<4,Bv2,Bv1,Bv1,A>4\n"]}} {"board": "ooooBooAAoBCDoEFoCDoEFGGHHoFIIooooJJ", "size": 6, "moves": 7, "solution": ["Ev2", "E^2", "F<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: ooooBooAAoBCDoEFoCDoEFGGHHoFIIooooJJ\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv2,E^2,F<3,Bv2,Bv2,Bv1,A>3\n"]}} {"board": "ooooooBoooooBCCCooBooDDDAAEoFGooEoFG", "size": 6, "moves": 7, "solution": ["C>2", "E^4", "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: ooooooBoooooBCCCooBooDDDAAEoFGooEoFG\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nC>2,E^4,D<2,E<2,F^2,G^2,A>4\n"]}} {"board": "ooooBCooooBCAAooBCoDDoEEoooFFFooGGoo", "size": 6, "moves": 6, "solution": ["D<1", "E<2", "F<2", "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: ooooBCooooBCAAooBCoDDoEEoooFFFooGGoo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,E<2,F<2,Bv3,Bv3,A>4\n"]}} {"board": "ooAAoBCCCooBoDEooBFDEGGGFooHHHoIIoJJ", "size": 6, "moves": 5, "solution": ["I<1", "Ev2", "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: ooAAoBCCCooBoDEooBFDEGGGFooHHHoIIoJJ\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nI<1,Ev2,F<1,Bv1,A>2\n"]}} {"board": "oBoCCCoBooooooooDoooEoDFAAEoGFooHHGF", "size": 6, "moves": 7, "solution": ["Bv1", "B<2", "D^2", "E^1", "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: oBoCCCoBooooooooDoooEoDFAAEoGFooHHGF\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,B<2,D^2,E^1,F^2,G^2,A>4\n"]}} {"board": "oooooooBBBoCooDEoCAADEooooDooooooooo", "size": 6, "moves": 5, "solution": ["Cv3", "B>2", "C^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: oooooooBBBoCooDEoCAADEooooDooooooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv3,B>2,C^2,Dv2,A>4\n"]}} {"board": "oooooBAACooBoDCooBEDCoFFEoooGGEooHHH", "size": 6, "moves": 5, "solution": ["Cv1", "F<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: oooooBAACooBoDCooBEDCoFFEoooGGEooHHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,F<1,G<1,Bv2,A>4\n"]}} {"board": "oBoooooBoCCCoBDEEEFoDooGFHAAoGFHoooG", "size": 6, "moves": 6, "solution": ["C<1", "A>1", "Dv1", "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: oBoooooBoCCCoBDEEEFoDooGFHAAoGFHoooG\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,A>1,Dv1,D<1,G^2,A>1\n"]}} {"board": "oooBBBooCCCooDoooEoDAAFEGGHHFEIIooJJ", "size": 6, "moves": 5, "solution": ["B<1", "C<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: oooBBBooCCCooDoooEoDAAFEGGHHFEIIooJJ\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,C<1,E^2,F^2,A>2\n"]}} {"board": "ooAAoBCCoooBoooooBDEFoGHDEFoGHDEIIJJ", "size": 6, "moves": 6, "solution": ["E^1", "I<1", "J<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: ooAAoBCCoooBoooooBDEFoGHDEFoGHDEIIJJ\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,I<1,J<1,Hv1,Bv1,A>2\n"]}} {"board": "oAAoBoCCooBDEEooFDGoHIFJGKHIFJGKHILL", "size": 6, "moves": 6, "solution": ["H^1", "I^1", "L<2", "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: oAAoBoCCooBDEEooFDGoHIFJGKHIFJGKHILL\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nH^1,I^1,L<2,Hv1,Bv1,A>3\n"]}} {"board": "BooCCCBooDDDooEEEoFoAAGoFHHIGoFooIGo", "size": 6, "moves": 5, "solution": ["C<2", "D<2", "E<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: BooCCCBooDDDooEEEoFoAAGoFHHIGoFooIGo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,D<2,E<1,G^3,A>2\n"]}} {"board": "oBoCDoEBoCDFEoAADFEoGGGFHHooooooooII", "size": 6, "moves": 5, "solution": ["G<1", "I<2", "Dv3", "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: oBoCDoEBoCDFEoAADFEoGGGFHHooooooooII\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,I<2,Dv3,Ev2,A>2\n"]}} {"board": "oBBBoCoAAoDCooooDCoEFFDooEoGGGoEoooo", "size": 6, "moves": 6, "solution": ["A>1", "E^2", "G<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: oBBBoCoAAoDCooooDCoEFFDooEoGGGoEoooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,E^2,G<2,Cv2,Dv1,A>2\n"]}} {"board": "ooBCooAABCooooooDoEEEoDFooGGGFHHoooF", "size": 6, "moves": 11, "solution": ["F^3", "G<2", "Cv4", "Dv2", "D>3", "Bv2", "A>3", "C^1", "D<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: ooBCooAABCooooooDoEEEoDFooGGGFHHoooF\nOptimal length (moves): 11\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^3,G<2,Cv4,Dv2,D>3,Bv2,A>3,C^1,D<1,Bv2,A>1\n"]}} {"board": "AAoBCDEoFBCDEoFBCoEoGGGoHHIIJJoKKKLL", "size": 6, "moves": 7, "solution": ["A>1", "Dv1", "D^1", "G<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: AAoBCDEoFBCDEoFBCoEoGGGoHHIIJJoKKKLL\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,Dv1,D^1,G<2,Cv1,Cv1,A>3\n"]}} {"board": "BoAAoCBDDDECooFoECooFGHHoIIGoooooGoo", "size": 6, "moves": 10, "solution": ["Bv2", "A<1", "C<1", "G^3", "I<1", "Gv2", "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: BoAAoCBDDDECooFoECooFGHHoIIGoooooGoo\nOptimal length (moves): 10\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A<1,C<1,G^3,I<1,Gv2,G<3,Bv1,Bv1,A>3\n"]}} {"board": "ooooooooooooooBCCCooBoDooooEDooAAEDo", "size": 6, "moves": 5, "solution": ["B^2", "C<2", "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: ooooooooooooooBCCCooBoDooooEDooAAEDo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^2,C<2,D^1,E^1,A>3\n"]}} {"board": "ooooBoAACoBoooCDDDooEEEoFooGGGFooooo", "size": 6, "moves": 6, "solution": ["E>1", "Cv3", "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: ooooBoAACoBoooCDDDooEEEoFooGGGFooooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nE>1,Cv3,C<2,D<2,Bv2,A>4\n"]}} {"board": "ooooBCoDAABCoDoooooEEFFoGHoIooGHoIoo", "size": 6, "moves": 5, "solution": ["Cv2", "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: ooooBCoDAABCoDoooooEEFFoGHoIooGHoIoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,E<1,F<1,Bv2,A>2\n"]}} {"board": "ooBBBCAADooCooDoooEFGGHoEFoIHoEFoIHo", "size": 6, "moves": 8, "solution": ["B<1", "Cv2", "H^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: ooBBBCAADooCooDoooEFGGHoEFoIHoEFoIHo\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,Cv2,H^3,H>1,Dv3,G<1,Cv2,A>4\n"]}} {"board": "ooBoCoAABoCoooBDDDoooEoFoGGEHFoooEHF", "size": 6, "moves": 5, "solution": ["G<1", "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: ooBoCoAABoCoooBDDDoooEoFoGGEHFoooEHF\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,Bv3,C<2,Bv2,A>4\n"]}} {"board": "BCCCooBoAADoBoooDooooEFFoooEoooooEoo", "size": 6, "moves": 8, "solution": ["Bv1", "B<1", "A<1", "E^3", "F<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: BCCCooBoAADoBoooDooooEFFoooEoooooEoo\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,B<1,A<1,E^3,F<3,Cv2,Dv1,A>3\n"]}} {"board": "AABCDoooBCDoooEEooFoooooFGGoooFoooHH", "size": 6, "moves": 5, "solution": ["Dv1", "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: AABCDoooBCDoooEEooFoooooFGGoooFoooHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,E<2,Bv1,Bv1,A>4\n"]}} {"board": "oBooCDoBooCDooAACDooooEEoFGGGooFoooo", "size": 6, "moves": 6, "solution": ["E<2", "Dv3", "F^2", "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: oBooCDoBooCDooAACDooooEEoFGGGooFoooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<2,Dv3,F^2,G<1,Cv3,A>2\n"]}} {"board": "oooooooooAABoooCoBoooCDDoooEEEoooooo", "size": 6, "moves": 5, "solution": ["E<3", "Cv2", "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: oooooooooAABoooCoBoooCDDoooEEEoooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<3,Cv2,C<1,Bv1,A>1\n"]}} {"board": "BBBoooCCCDDDoEoooFGEoAAFGEHoIIGoHJJJ", "size": 6, "moves": 5, "solution": ["H^1", "I<1", "J<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: BBBoooCCCDDDoEoooFGEoAAFGEHoIIGoHJJJ\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nH^1,I<1,J<1,Fv2,A>1\n"]}} {"board": "oBBBCooAAoCDEoFFFDEooGGGHooIIIHJJJKK", "size": 6, "moves": 5, "solution": ["F<1", "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: oBBBCooAAoCDEoFFFDEooGGGHooIIIHJJJKK\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,G<2,Cv2,Cv1,A>3\n"]}} {"board": "BooCCCBDDDooooEoFoooEGFooAAGFooHHGII", "size": 6, "moves": 5, "solution": ["Bv2", "C<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: BooCCCBDDDooooEoFoooEGFooAAGFooHHGII\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,C<1,F^1,G^2,A>3\n"]}} {"board": "ooooBCDoAABCDoooBCoEEEooFoGGHHFooooo", "size": 6, "moves": 7, "solution": ["D^1", "F^2", "G<2", "H<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: ooooBCDoAABCDoooBCoEEEooFoGGHHFooooo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,F^2,G<2,H<2,Cv2,Cv2,A>2\n"]}} {"board": "ooBBBCoAAooCDoEEoCDoFoooooFGGGooFooo", "size": 6, "moves": 6, "solution": ["A>2", "E>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: ooBBBCoAAooCDoEEoCDoFoooooFGGGooFooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,E>1,F^2,G<1,Cv2,A>1\n"]}} {"board": "ooooooooBoooooBoooCDEoooCDEFGoAAEFGo", "size": 6, "moves": 5, "solution": ["B^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: ooooooooBoooooBoooCDEoooCDEFGoAAEFGo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,E^1,F^1,G^1,A>4\n"]}} {"board": "BBBooCooAAoCooDooCooDEEEoFFFooooooGG", "size": 6, "moves": 5, "solution": ["A>1", "D^1", "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: BBBooCooAAoCooDooCooDEEEoFFFooooooGG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,D^1,E<1,Cv2,A>1\n"]}} {"board": "oAAooBCCDoEBoFDoEBGFDHHHGooIIIGJJKKK", "size": 6, "moves": 5, "solution": ["A>2", "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: oAAooBCCDoEBoFDoEBGFDHHHGooIIIGJJKKK\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,D^1,H<1,Cv1,A>1\n"]}} {"board": "ooAABoooooBooooCDDoEECoooooCooooFFoo", "size": 6, "moves": 5, "solution": ["F<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: ooAABoooooBooooCDDoEECoooooCooooFFoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Cv1,C<2,Bv1,A>2\n"]}} {"board": "oooooooBoooooBCCCoooDDDoAAoEoooooEFF", "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: oooooooBoooooBCCCoooDDDoAAoEoooooEFF\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": "ooBBBoAAoooCoDEEoCoDFGHHooFGIoooFGIo", "size": 6, "moves": 9, "solution": ["B<2", "Dv1", "D<1", "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: ooBBBoAAoooCoDEEoCoDFGHHooFGIoooFGIo\nOptimal length (moves): 9\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,Dv1,D<1,G^3,H<1,Dv3,G>1,Cv2,A>4\n"]}} {"board": "ooooBCoAADBCEFoDGGEFHDoIEFHoJIoKKKJo", "size": 6, "moves": 7, "solution": ["Iv1", "K<1", "Dv2", "F<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: ooooBCoAADBCEFoDGGEFHDoIEFHoJIoKKKJo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nIv1,K<1,Dv2,F<2,Bv2,Bv2,A>3\n"]}} {"board": "BBBoCDoAAoCDoooooDEoFGGoEHFIIIEHoJJo", "size": 6, "moves": 9, "solution": ["B>1", "E^3", "Fv1", "F<3", "Dv2", "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: BBBoCDoAAoCDoooooDEoFGGoEHFIIIEHoJJo\nOptimal length (moves): 9\nReturn only the and blocks.", "\nShortest path found.\n\n\nB>1,E^3,Fv1,F<3,Dv2,H^2,I<1,Dv2,A>3\n"]}} {"board": "ooooBoCoooBoCoAABooDEFGGoDEFoooDHHHo", "size": 6, "moves": 10, "solution": ["C^1", "A<2", "E^3", "A>2", "E^1", "H<2", "Fv1", "F<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: ooooBoCoooBoCoAABooDEFGGoDEFoooDHHHo\nOptimal length (moves): 10\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,A<2,E^3,A>2,E^1,H<2,Fv1,F<2,Dv3,A>2\n"]}} {"board": "ooBBBCAAoooCoooDDDoEEEFFoGHHoooGoooo", "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: ooBBBCAAoooCoooDDDoEEEFFoGHHoooGoooo\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": "oBBBoooooCoDoAACEDooFoEoooFGGGooFHHo", "size": 6, "moves": 5, "solution": ["B<1", "C^1", "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: oBBBoooooCoDoAACEDooFoEoooFGGGooFHHo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,C^1,D^1,E^2,A>3\n"]}} {"board": "oBCDDDEBCFFFEoCooGoAAooGoHHooGoooooo", "size": 6, "moves": 7, "solution": ["A>2", "H<1", "Cv2", "C<1", "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: oBCDDDEBCFFFEoCooGoAAooGoHHooGoooooo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,H<1,Cv2,C<1,E<1,G^2,A>1\n"]}} {"board": "oooBBBoAACoDoooCEDFoGHEIFoGHEIFooooo", "size": 6, "moves": 5, "solution": ["Hv1", "Cv1", "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: oooBBBoAACoDoooCEDFoGHEIFoGHEIFooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nHv1,Cv1,Hv1,Cv1,A>3\n"]}} {"board": "oooBBBooooooAACoDEooCoDEoFoGDEoFoGHH", "size": 6, "moves": 6, "solution": ["C^2", "G^1", "H<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: oooBBBooooooAACoDEooCoDEoFoGDEoFoGHH\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,G^1,H<2,Dv1,Dv1,A>4\n"]}} {"board": "oooBBBooCCCooooooDAAEooDooEFFFooEGGo", "size": 6, "moves": 5, "solution": ["C>1", "E^3", "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: oooBBBooCCCooooooDAAEooDooEFFFooEGGo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC>1,E^3,F<1,Ev2,A>4\n"]}} {"board": "oooBBBCAADoECooDFECGoDFooGHIIIooHooo", "size": 6, "moves": 6, "solution": ["Ev1", "G^1", "H^2", "I<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: oooBBBCAADoECooDFECGoDFooGHIIIooHooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,G^1,H^2,I<3,Dv1,A>3\n"]}} {"board": "AAooBooCooBooCooBoDCoEFGDoHEFGDoHIIo", "size": 6, "moves": 5, "solution": ["H^1", "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: AAooBooCooBooCooBoDCoEFGDoHEFGDoHIIo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nH^1,I<1,Gv1,Bv1,A>4\n"]}} {"board": "BooooCBAAooCooDEEEooDooooFFFoGHHHooG", "size": 6, "moves": 5, "solution": ["A>2", "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: BooooCBAAooCooDEEEooDooooFFFoGHHHooG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,D^2,E<1,Dv2,A>1\n"]}} {"board": "oooooooBBBoooooCooAADCooooDCEEooFFoo", "size": 6, "moves": 5, "solution": ["B<1", "C^2", "F<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: oooooooBBBoooooCooAADCooooDCEEooFFoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,C^2,F<2,Dv1,A>4\n"]}} {"board": "BBBCDooAACDoooEEDoFFoGGoHooIIIHooooo", "size": 6, "moves": 10, "solution": ["E<1", "F>1", "G>1", "H^3", "G<1", "I<3", "Cv4", "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: BBBCDooAACDoooEEDoFFoGGoHooIIIHooooo\nOptimal length (moves): 10\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,F>1,G>1,H^3,G<1,I<3,Cv4,G<2,Cv2,A>3\n"]}} {"board": "oBAAoCoBoDoCEooDoCEFFGGGEooHIIoJJHKK", "size": 6, "moves": 5, "solution": ["E^2", "F<1", "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: oBAAoCoBoDoCEooDoCEFFGGGEooHIIoJJHKK\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^2,F<1,G<1,Dv1,A>2\n"]}} {"board": "ooooooAAooBooCCoBoooDDBooooEFFoooEoo", "size": 6, "moves": 5, "solution": ["D<1", "E^2", "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: ooooooAAooBooCCoBoooDDBooooEFFoooEoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,E^2,F<2,Bv1,A>4\n"]}} {"board": "AAoBoCoDoBoCoDEEoFoDoooFoooooFGGGooo", "size": 6, "moves": 6, "solution": ["Fv1", "E>2", "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: AAoBoCoDoBoCoDEEoFoDoooFoooooFGGGooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nFv1,E>2,Bv3,D<1,Bv1,A>4\n"]}} {"board": "ooooBoAAooBoooooBoCDoEEECDoooooDoooo", "size": 6, "moves": 5, "solution": ["A>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: ooooBoAAooBoooooBoCDoEEECDoooooDoooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,D^3,E<2,Cv2,A>2\n"]}} {"board": "oooBBBoAAoCooDooCEoDooCEFDoGGGFooHHH", "size": 6, "moves": 5, "solution": ["A>1", "D^1", "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: oooBBBoAAoCooDooCEoDooCEFDoGGGFooHHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,D^1,G<2,Dv1,A>2\n"]}} {"board": "oBBBoooooooooooCCCAADooEooDooEooDooE", "size": 6, "moves": 8, "solution": ["B>2", "D^3", "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: oBBBoooooooooooCCCAADooEooDooEooDooE\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nB>2,D^3,A>3,Bv3,B<1,C<1,E^3,A>1\n"]}} {"board": "ooBCooAABCoooooDDDoEoFGooEoFGooEooGo", "size": 6, "moves": 5, "solution": ["Bv3", "C<3", "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: ooBCooAABCoooooDDDoEoFGooEoFGooEooGo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv3,C<3,Fv1,Bv2,A>4\n"]}} {"board": "ooBBBoCooDDDCoooooAAooEFGGGoEFHHHoEF", "size": 6, "moves": 5, "solution": ["B<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: ooBBBoCooDDDCoooooAAooEFGGGoEFHHHoEF\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,D<2,E^3,F^3,A>4\n"]}} {"board": "ooBBBooAAoCoooooCDEFooCDEFGGGDEFoooo", "size": 6, "moves": 5, "solution": ["A>1", "F^2", "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: ooBBBooAAoCoooooCDEFooCDEFGGGDEFoooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,F^2,G<1,Dv1,A>2\n"]}} {"board": "oooooooAAoBoooooBoooCDDDooCEooooCEoo", "size": 6, "moves": 7, "solution": ["A<1", "C^3", "D<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: oooooooAAoBoooooBoooCDDDooCEooooCEoo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<1,C^3,D<2,Cv3,C>2,Bv2,A>4\n"]}} {"board": "ooooooooAAoBooCCDBooooDBooEFFFooEGGG", "size": 6, "moves": 5, "solution": ["C<2", "E^2", "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: ooooooooAAoBooCCDBooooDBooEFFFooEGGG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,E^2,F<1,Bv1,A>2\n"]}} {"board": "ooAAoBCCoooBooDooBooDEEEooDoooFFoGGG", "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: ooAAoBCCoooBooDooBooDEEEooDoooFFoGGG\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": "ooooBoAAooBooooooooooCDDoooCooEEECoo", "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: ooooBoAAooBooooooooooCDDoooCooEEECoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^3,D<3,Bv2,Bv2,A>4\n"]}} {"board": "AABoooCoBooDCoEEEDCFFFGHIJJJGHIoKKGH", "size": 6, "moves": 8, "solution": ["D^1", "E>1", "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: AABoooCoBooDCoEEEDCFFFGHIJJJGHIoKKGH\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E>1,Bv1,A>3,D^1,E<1,Cv1,A>1\n"]}} {"board": "ooooooBooooCBDEEECFDooGHFoooGHFoAAGH", "size": 6, "moves": 6, "solution": ["C^1", "D^2", "E<1", "G^1", "H^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: ooooooBooooCBDEEECFDooGHFoooGHFoAAGH\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^2,E<1,G^1,H^1,A>2\n"]}} {"board": "oAAooBCoDDoBCEEEFFGHIIooGHooJJGooooo", "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: oAAooBCoDDoBCEEEFFGHIIooGHooJJGooooo\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": "oooooBCooooBCAAooBooooooooDEEEooDooo", "size": 6, "moves": 5, "solution": ["A>2", "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: oooooBCooooBCAAooBooooooooDEEEooDooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,D^2,E<1,Bv3,A>1\n"]}} {"board": "BoCCCoBoDooEAADooEFFFGGGHHoIIIooJJoo", "size": 6, "moves": 7, "solution": ["C>1", "D^1", "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: BoCCCoBoDooEAADooEFFFGGGHHoIIIooJJoo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nC>1,D^1,A>3,Cv1,C<1,E^1,A>1\n"]}} {"board": "AAoBoooooBCCoDEBooFDEGGGFoooHIFJJoHI", "size": 6, "moves": 7, "solution": ["A>1", "D^1", "E^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: AAoBoooooBCCoDEBooFDEGGGFoooHIFJJoHI\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,D^1,E^1,F^3,G<3,Cv1,A>3\n"]}} {"board": "ooooooooooBoAAooBooCooBooCoDDDoCoooo", "size": 6, "moves": 5, "solution": ["A>2", "C^2", "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: ooooooooooBoAAooBooCooBooCoDDDoCoooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,C^2,D<2,Cv2,A>2\n"]}} {"board": "ooooBooCAABoDCEFFFDGEooooGHHHooGoooo", "size": 6, "moves": 6, "solution": ["C^1", "H>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: ooooBooCAABoDCEFFFDGEooooGHHHooGoooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,H>1,Ev1,E<2,Cv2,A>2\n"]}} {"board": "oooooBCCCooBoooAABooDoEEooDoooooDFFF", "size": 6, "moves": 5, "solution": ["D^1", "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: oooooBCCCooBoooAABooDoEEooDoooooDFFF\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E<1,F<1,Bv3,A>1\n"]}} {"board": "BBBCoooooCooAAoCooDDEEFGooHHFGIIIooo", "size": 6, "moves": 6, "solution": ["F^3", "G^3", "G>2", "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: BBBCoooooCooAAoCooDDEEFGooHHFGIIIooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^3,G^3,G>2,H<1,Cv3,A>4\n"]}} {"board": "oooBooAAoBoooCoBooDCoooEDFFFoEDooooE", "size": 6, "moves": 5, "solution": ["A>1", "D^2", "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: oooBooAAoBoooCoBooDCoooEDFFFoEDooooE\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,D^2,F<1,Bv2,A>3\n"]}} {"board": "oBCCCoDBoooEDBooFEAAooFEooooFoGGGHHH", "size": 6, "moves": 6, "solution": ["E^1", "A>2", "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: oBCCCoDBoooEDBooFEAAooFEooooFoGGGHHH\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,A>2,Bv1,B<1,F^2,A>2\n"]}} {"board": "AABCooooBCooooBCoDoEoFFDoEoGoDoooGoo", "size": 6, "moves": 5, "solution": ["E^2", "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: AABCooooBCooooBCoDoEoFFDoEoGoDoooGoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^2,F<3,Bv1,Bv1,A>4\n"]}} {"board": "BCDDDEBCAAoEBFFFGGHHHoIoJJJoIoooKKIo", "size": 6, "moves": 7, "solution": ["H>1", "J>1", "Bv3", "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: BCDDDEBCAAoEBFFFGGHHHoIoJJJoIoooKKIo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nH>1,J>1,Bv3,E<1,F<1,Dv2,A>2\n"]}} {"board": "oooBBBoooCCCooDDDEooAAFEGGoHFEIIIHFo", "size": 6, "moves": 6, "solution": ["B<2", "C<2", "D<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: oooBBBoooCCCooDDDEooAAFEGGoHFEIIIHFo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,C<2,D<1,E^2,F^3,A>2\n"]}} {"board": "AAooBCooDDBCooEEBFGHHooFGooIIIGoJJJo", "size": 6, "moves": 5, "solution": ["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: AAooBCooDDBCooEEBFGHHooFGooIIIGoJJJo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,I<1,Fv1,Bv1,A>4\n"]}} {"board": "BooCCCBDDDooBoooEooooFEoAAoFoooooFoo", "size": 6, "moves": 5, "solution": ["A>1", "Bv2", "C<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: BooCCCBDDDooBoooEooooFEoAAoFoooooFoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,Bv2,C<1,F^2,A>3\n"]}} {"board": "oooooBoooooBCDAAoBCDEFFFCDEoooooEoGG", "size": 6, "moves": 6, "solution": ["A>1", "E^3", "F<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: oooooBoooooBCDAAoBCDEFFFCDEoooooEoGG\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,E^3,F<1,G<1,Cv3,A>1\n"]}} {"board": "BooCCCBooDEFoAADEFGHoIIoGHJJJoGHoooo", "size": 6, "moves": 6, "solution": ["Bv1", "B<3", "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: BooCCCBooDEFoAADEFGHoIIoGHJJJoGHoooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,B<3,D^1,E^1,F^1,A>3\n"]}} {"board": "oooooooooBooAAoBooCooBoDCooEEDCFFFoD", "size": 6, "moves": 6, "solution": ["A>1", "C^1", "E<2", "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: oooooooooBooAAoBooCooBoDCooEEDCFFFoD\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,C^1,E<2,F<1,Bv2,A>3\n"]}} {"board": "BBBCooDEoCooDEoFFFDooGHooooGHooAAGHo", "size": 6, "moves": 6, "solution": ["Dv2", "Dv2", "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: BBBCooDEoCooDEoFFFDooGHooooGHooAAGHo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv2,Dv2,D<3,G^1,H^1,A>3\n"]}} {"board": "oooooooooBCDoAABCDEFFoCoEooGGGEHHoII", "size": 6, "moves": 8, "solution": ["B^1", "D^1", "E^1", "G<2", "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: oooooooooBCDoAABCDEFFoCoEooGGGEHHoII\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,D^1,E^1,G<2,H<1,I<2,Dv2,A>3\n"]}} {"board": "ooooBoooAABCoDooBCoDoooooDoEEEFFFooo", "size": 6, "moves": 5, "solution": ["Cv1", "C^1", "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: ooooBoooAABCoDooBCoDoooooDoEEEFFFooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,C^1,E<2,Bv2,A>2\n"]}} {"board": "oAAoBoCCDEBoooDEBoooDEFFGGHHHoIIJJKK", "size": 6, "moves": 8, "solution": ["A<1", "D^1", "E^1", "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: oAAoBoCCDEBoooDEBoooDEFFGGHHHoIIJJKK\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<1,D^1,E^1,F<4,Bv1,Bv1,Bv1,A>4\n"]}} {"board": "BoooCoBoooCoooAACoooDoEEoFDooooFDooo", "size": 6, "moves": 6, "solution": ["A<2", "D^3", "E<4", "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: BoooCoBoooCoooAACoooDoEEoFDooooFDooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<2,D^3,E<4,Cv3,Cv3,A>4\n"]}} {"board": "oooooBAAoooBCCoooBoDEFFFGDEoHHGDIIoo", "size": 6, "moves": 6, "solution": ["A>3", "E^2", "F<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: oooooBAAoooBCCoooBoDEFFFGDEoHHGDIIoo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>3,E^2,F<1,H<1,Bv2,A>1\n"]}} {"board": "oBBBooCoooDoCEAADoCEooDooFFGGoooooHH", "size": 6, "moves": 5, "solution": ["F<1", "G<1", "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: oBBBooCoooDoCEAADoCEooDooFFGGoooooHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,G<1,H<2,Dv2,A>2\n"]}} {"board": "oBCCCooBoDDDEBooooEoFGGGEoFAAHIIFJJH", "size": 6, "moves": 5, "solution": ["C>1", "F^3", "G<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: oBCCCooBoDDDEBooooEoFGGGEoFAAHIIFJJH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC>1,F^3,G<1,H^2,A>1\n"]}} {"board": "oooBoooAABoooooBooCCoDDoEFFFooEooooo", "size": 6, "moves": 6, "solution": ["C>1", "D>1", "E^2", "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: oooBoooAABoooooBooCCoDDoEFFFooEooooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nC>1,D>1,E^2,F<1,Bv2,A>3\n"]}} {"board": "ooAAoBCoDDoBCoEEEBCFFGGGooooHHoooooo", "size": 6, "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 (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooAAoBCoDDoBCoEEEBCFFGGGooooHHoooooo\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": "AAooBooCooBoDCoEEEDCFFooDGGoHoIIJJHo", "size": 6, "moves": 8, "solution": ["G>1", "H^1", "J>2", "I>2", "Cv2", "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: AAooBooCooBoDCoEEEDCFFooDGGoHoIIJJHo\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nG>1,H^1,J>2,I>2,Cv2,D<2,Bv1,A>4\n"]}} {"board": "oooooBAACooBooCoDDEoFGooEHFGoooHoGII", "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: oooooBAACooBooCoDDEoFGooEHFGoooHoGII\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Bv2,Fv1,Bv1,A>4\n"]}} {"board": "oooooBoAAooBoooooBooCCooooDEEEooDooo", "size": 6, "moves": 5, "solution": ["C<2", "D^2", "E<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: oooooBoAAooBoooooBooCCooooDEEEooDooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,D^2,E<1,Bv2,A>3\n"]}} {"board": "ooAAoBoooCoBooDCEEFGDooHFGIJJHFoIooH", "size": 6, "moves": 8, "solution": ["A<2", "C^1", "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: ooAAoBoooCoBooDCEEFGDooHFGIJJHFoIooH\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<2,C^1,D^2,E<4,Bv1,Bv1,Bv1,A>4\n"]}} {"board": "AAooBoooooBoCCDDBoEFFGGHEIIIoHJJJooH", "size": 6, "moves": 6, "solution": ["J>1", "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: AAooBoooooBoCCDDBoEFFGGHEIIIoHJJJooH\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nJ>1,Ev1,E<1,F<1,Bv1,A>4\n"]}} {"board": "ooooBoCCCoBoAAooBooooDDoooEFFFooEooo", "size": 6, "moves": 7, "solution": ["D<3", "E^2", "F<2", "Bv3", "B>3", "C^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: ooooBoCCCoBoAAooBooooDDoooEFFFooEooo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<3,E^2,F<2,Bv3,B>3,C^2,A>4\n"]}} {"board": "ooooooBoooooBoAAoCooDooCooDEECooDFFF", "size": 6, "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 (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: ooooooBoooooBoAAoCooDooCooDEECooDFFF\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": "oBBBCooAAoCDEEEFoDoGGFoHIJJFoHIoooKK", "size": 6, "moves": 5, "solution": ["Cv2", "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: oBBBCooAAoCDEEEFoDoGGFoHIJJFoHIoooKK\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,K<1,Hv1,Cv1,A>3\n"]}} {"board": "AAoBoooooBoooCDDDoECFFooEGGoooooooHH", "size": 6, "moves": 5, "solution": ["G>1", "Cv1", "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: AAoBoooooBoooCDDDoECFFooEGGoooooooHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nG>1,Cv1,C<2,Bv1,A>4\n"]}} {"board": "oooBCooooBCooAABoDEoFFoDEooGGoEooHHH", "size": 6, "moves": 7, "solution": ["D^2", "E^1", "F<1", "G<2", "H<3", "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: oooBCooooBCooAABoDEoFFoDEooGGoEooHHH\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,E^1,F<1,G<2,H<3,Bv3,A>3\n"]}} {"board": "ooBoooooBCCCAAooDEoFooDEGFHoDoGFHIII", "size": 6, "moves": 7, "solution": ["A>2", "Ev1", "E^1", "H^1", "I<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: ooBoooooBCCCAAooDEoFooDEGFHoDoGFHIII\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,Ev1,E^1,H^1,I<2,Ev1,A>2\n"]}} {"board": "ooBCCCAABoDoooooDoooEoFFGHEoIIGHoJJJ", "size": 6, "moves": 5, "solution": ["Ev1", "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: ooBCCCAABoDoooooDoooEoFFGHEoIIGHoJJJ\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,E<4,Bv2,Cv1,A>4\n"]}} {"board": "BAACooBDoCooEDFFFoEoooGHEIIoGHoJJJGo", "size": 6, "moves": 6, "solution": ["Ev1", "I>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: BAACooBDoCooEDFFFoEoooGHEIIoGHoJJJGo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,I>1,Dv2,D<2,Cv1,A>3\n"]}} {"board": "ooBCCCoDBooEoDFAAEGHFIIIGHFooooHJJoo", "size": 6, "moves": 6, "solution": ["J>1", "Fv1", "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: ooBCCCoDBooEoDFAAEGHFIIIGHFooooHJJoo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nJ>1,Fv1,Bv1,B<1,E^1,A>1\n"]}} {"board": "oooooooAABooCoDBooCoDEEEoooooooooooo", "size": 6, "moves": 5, "solution": ["C^1", "Dv2", "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: oooooooAABooCoDBooCoDEEEoooooooooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,Dv2,D<3,Cv1,A>3\n"]}} {"board": "ooBCooooBCooAAoCDoEEooDooooFFFoGGGoo", "size": 6, "moves": 5, "solution": ["D^2", "F<3", "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: ooBCooooBCooAAoCDoEEooDooooFFFoGGGoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,F<3,G<1,Cv3,A>4\n"]}} {"board": "ooBoooooBCCCooooooAAoooDoEEooDooFFFD", "size": 6, "moves": 5, "solution": ["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: ooBoooooBCCCooooooAAoooDoEEooDooFFFD\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>3,Bv2,B<1,D^3,A>1\n"]}} {"board": "oBBBooCooDDDCooEEEoooFGHAAoFGHIIooGH", "size": 6, "moves": 7, "solution": ["C^1", "D<2", "E<3", "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: oBBBooCooDDDCooEEEoooFGHAAoFGHIIooGH\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D<2,E<3,F^1,G^2,H^2,A>4\n"]}} {"board": "ooooBoooooBCoDDDBCoooEoFoooEoFoAAEoF", "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: ooooBoooooBCoDDDBCoooEoFoooEoFoAAEoF\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": "oooooooBCCCooBoDDDoooEEEooAAFoooooFo", "size": 6, "moves": 5, "solution": ["B^1", "D<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: oooooooBCCCooBoDDDoooEEEooAAFoooooFo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,D<2,E<2,F^2,A>2\n"]}} {"board": "oBooCoDBooCoDBAACoDooEEEooFFGGoooHHH", "size": 6, "moves": 6, "solution": ["E<2", "F<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: oBooCoDBooCoDBAACoDooEEEooFFGGoooHHH\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<2,F<2,G<2,H<2,Cv3,A>2\n"]}} {"board": "ooooooooBCCCooBoDooAAoDoooooDooooooo", "size": 6, "moves": 5, "solution": ["A<1", "Bv3", "B<2", "C^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: ooooooooBCCCooBoDooAAoDoooooDooooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<1,Bv3,B<2,C^2,A>4\n"]}} {"board": "BoooooBooooCoAAooCooDooCooDoooooDEEE", "size": 6, "moves": 5, "solution": ["A>2", "D^1", "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: BoooooBooooCoAAooCooDooCooDoooooDEEE\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,D^1,E<1,Cv2,A>1\n"]}} {"board": "oooooooooBooAAoBooCooBooCooDDDCooooo", "size": 6, "moves": 5, "solution": ["A>1", "C^2", "D<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: oooooooooBooAAoBooCooBooCooDDDCooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,C^2,D<3,Cv2,A>3\n"]}} {"board": "AABoCDEEBoCDoooooDoFooGHoFoIGHoJJIGo", "size": 6, "moves": 5, "solution": ["Bv1", "Bv1", "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: AABoCDEEBoCDoooooDoFooGHoFoIGHoJJIGo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,Hv1,Bv1,A>4\n"]}} {"board": "ooAAoBooCCoBDEEFFFDGGGHIDoooHIJJJoHI", "size": 6, "moves": 6, "solution": ["J>1", "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: ooAAoBooCCoBDEEFFFDGGGHIDoooHIJJJoHI\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nJ>1,Dv1,D<1,E<1,Bv1,A>2\n"]}} {"board": "ooooooBAAoCoBooDCooEoDCooEFFGGooHHHo", "size": 6, "moves": 5, "solution": ["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: ooooooBAAoCoBooDCooEoDCooEFFGGooHHHo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,F<2,G<2,Cv1,A>3\n"]}} {"board": "ooAABoooCoBDEECFFDooGGGDHooIIIHoooJJ", "size": 6, "moves": 8, "solution": ["D^1", "G>1", "Dv3", "E<1", "Bv1", "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: ooAABoooCoBDEECFFDooGGGDHooIIIHoooJJ\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,G>1,Dv3,E<1,Bv1,F<1,Bv1,A>2\n"]}} {"board": "ooooBooCooBooCAABooCoDDDEEEooooooFFF", "size": 6, "moves": 5, "solution": ["C^1", "D<2", "F<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: ooooBooCooBooCAABooCoDDDEEEooooooFFF\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D<2,F<2,Cv3,A>2\n"]}} {"board": "ooAAoBoooooBoooooBCDDEEECooFFoCooooo", "size": 6, "moves": 5, "solution": ["C^3", "D<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: ooAAoBoooooBoooooBCDDEEECooFFoCooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^3,D<1,E<1,Cv1,A>2\n"]}} {"board": "oooBBBoCCCoooooooDAAoEoDoooEFDGGoEFo", "size": 6, "moves": 5, "solution": ["B<3", "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: oooBBBoCCCoooooooDAAoEoDoooEFDGGoEFo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<3,C<1,D^2,E^3,A>4\n"]}} {"board": "oBBBoCDoEAACDoEFFCDoEoGGHHoIJJoooIoo", "size": 6, "moves": 12, "solution": ["D^1", "G<1", "Dv1", "C>2", "D^1", "G<3", "Cv3", "E<2", "I^2", "J<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: oBBBoCDoEAACDoEFFCDoEoGGHHoIJJoooIoo\nOptimal length (moves): 12\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,G<1,Dv1,C>2,D^1,G<3,Cv3,E<2,I^2,J<1,Dv1,A>1\n"]}} {"board": "oBCCCooBooDooEAADooEFGGGHoFooIHoFooI", "size": 6, "moves": 5, "solution": ["Ev1", "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: oBCCCooBooDooEAADooEFGGGHoFooIHoFooI\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,Bv1,B<1,D^1,A>2\n"]}} {"board": "oooooooooBCooAABCooooBoooooDDDoEEEoo", "size": 6, "moves": 5, "solution": ["C^1", "D<3", "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: oooooooooBCooAABCooooBoooooDDDoEEEoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D<3,E<1,Cv2,A>3\n"]}} {"board": "AABoooCoBDDDCEFFFGoEHHoGIEooJJIooKKK", "size": 6, "moves": 5, "solution": ["J<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: AABoooCoBDDDCEFFFGoEHHoGIEooJJIooKKK\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nJ<1,Gv1,F>1,Bv1,A>4\n"]}} {"board": "oooBCooooBCoAAooCDoEEEoDooFFGGoooHHH", "size": 6, "moves": 6, "solution": ["D^2", "F<2", "G<2", "H<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: oooBCooooBCoAAooCDoEEEoDooFFGGoooHHH\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,F<2,G<2,H<2,Cv3,A>4\n"]}} {"board": "ooBoooAABCDooooCDoooooEEFGGGooFooHHH", "size": 6, "moves": 5, "solution": ["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: ooBoooAABCDooooCDoooooEEFGGGooFooHHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<4,Bv2,Bv1,Bv1,A>4\n"]}} {"board": "BoooCDBEooCDFEAAoDFEGoHHooGIIIJJGKKK", "size": 6, "moves": 7, "solution": ["A>1", "G^2", "H<1", "I<1", "K<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: BoooCDBEooCDFEAAoDFEGoHHooGIIIJJGKKK\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,G^2,H<1,I<1,K<1,Dv3,A>1\n"]}} {"board": "ooBAACDDBooCooBEEEFGoHHHFGoooIoGJJoI", "size": 6, "moves": 5, "solution": ["J>1", "Bv3", "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: ooBAACDDBooCooBEEEFGoHHHFGoooIoGJJoI\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nJ>1,Bv3,D<1,Bv1,A>1\n"]}} {"board": "AAooBCooDDBCoooooEoooooEoooFFFoooooo", "size": 6, "moves": 5, "solution": ["Bv1", "F<1", "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: AAooBCooDDBCoooooEoooooEoooFFFoooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,F<1,Ev1,Bv1,A>4\n"]}} {"board": "oooBooAAoBCoDDooCoEooFFFEoooooEooGGo", "size": 6, "moves": 7, "solution": ["A>1", "D>1", "E^3", "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: oooBooAAoBCoDDooCoEooFFFEoooooEooGGo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,D>1,E^3,F<3,Cv2,Cv1,A>3\n"]}} {"board": "BBBooooCoooDoCEooDFoEGGGFAAHooFIIHJJ", "size": 6, "moves": 6, "solution": ["B>1", "E^1", "F^3", "G<3", "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: BBBooooCoooDoCEooDFoEGGGFAAHooFIIHJJ\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nB>1,E^1,F^3,G<3,H^2,A>3\n"]}} {"board": "oooBCoAAoBCDEFFBCDEooooDoooGGoHHHooo", "size": 6, "moves": 5, "solution": ["Dv1", "G<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: oooBCoAAoBCDEFFBCDEooooDoooGGoHHHooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,G<2,Bv2,Bv2,A>4\n"]}} {"board": "oAAoBoCooDBoCoEDBoooEDFFGoooHoGoooHo", "size": 6, "moves": 6, "solution": ["D^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: oAAoBoCooDBoCoEDBoooEDFFGoooHoGoooHo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E^1,F<3,Bv1,Bv1,A>3\n"]}} {"board": "ooooooAAooBCooooBCooDEECooDoooFFDooo", "size": 6, "moves": 6, "solution": ["Cv1", "D^3", "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: ooooooAAooBCooooBCooDEECooDoooFFDooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,D^3,E<3,Bv2,Bv1,A>4\n"]}} {"board": "oooooBoooooBoAACoBooDCooEEDFFFGGDoHH", "size": 6, "moves": 7, "solution": ["C^2", "A>2", "D^2", "F<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: oooooBoooooBoAACoBooDCooEEDFFFGGDoHH\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,A>2,D^2,F<1,H<1,Cv3,A>1\n"]}} {"board": "ooooBoooooBooCCCBoooooooAADoooooDooo", "size": 6, "moves": 6, "solution": ["Bv3", "B>2", "D^4", "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: ooooBoooooBooCCCBoooooooAADoooooDooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv3,B>2,D^4,C<2,D^2,A>4\n"]}} {"board": "oooooBoAAooBCCDEEBFoDGGGFHDIIIFHoooo", "size": 6, "moves": 6, "solution": ["A>2", "D^2", "G<1", "I<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: oooooBoAAooBCCDEEBFoDGGGFHDIIIFHoooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,D^2,G<1,I<1,Cv2,A>1\n"]}} {"board": "ooBoooAABooooCoDDooCEEEFoCGooFooGooF", "size": 6, "moves": 8, "solution": ["F^3", "F>1", "Bv2", "A>3", "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: ooBoooAABooooCoDDooCEEEFoCGooFooGooF\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^3,F>1,Bv2,A>3,D^1,F<1,Bv2,A>1\n"]}} {"board": "ooAABoCCCDBooooDBoEooDFFEoooGoEoHHGo", "size": 6, "moves": 6, "solution": ["A<1", "D^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: ooAABoCCCDBooooDBoEooDFFEoooGoEoHHGo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<1,D^1,F<3,Bv1,Bv1,A>3\n"]}} {"board": "oooBCDEooBCDEoAAoDEFFFGGHoooIIHoJJoo", "size": 6, "moves": 6, "solution": ["E^1", "F<1", "G<1", "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: oooBCDEooBCDEoAAoDEFFFGGHoooIIHoJJoo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,F<1,G<1,I<1,Ev3,A>2\n"]}} {"board": "AAoBCoDDoBCoEooFFFEooGGoEooooooooooo", "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: AAoBCoDDoBCoEooFFFEooGGoEooooooooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,E<3,Bv1,Bv1,A>4\n"]}} {"board": "ooBBBCoooooCAADEoCFFDEGGoooHHoooooII", "size": 6, "moves": 7, "solution": ["B<2", "Dv1", "D^2", "G<1", "I<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: ooBBBCoooooCAADEoCFFDEGGoooHHoooooII\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,Dv1,D^2,G<1,I<1,Dv3,A>4\n"]}} {"board": "ooooBoAAoCBooooCBoDoEoooDoEoFFoooooo", "size": 6, "moves": 5, "solution": ["Cv1", "E^1", "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: ooooBoAAoCBooooCBoDoEoooDoEoFFoooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,E^1,F<2,Bv2,A>4\n"]}} {"board": "ooBoooAABoCooDDoCoooEEoooFFooooooooo", "size": 6, "moves": 5, "solution": ["Cv1", "C<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: ooBoooAABoCooDDoCoooEEoooFFooooooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,C<1,E<2,Bv2,A>4\n"]}} {"board": "BoooooBAACoooooCoooooDoEFooDoEFGGGHH", "size": 6, "moves": 5, "solution": ["F^1", "G<1", "Ev1", "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: BoooooBAACoooooCoooooDoEFooDoEFGGGHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,G<1,Ev1,Cv1,A>3\n"]}} {"board": "ooBooCooBoDCAABoDCoooEEEoFFooooooGGo", "size": 6, "moves": 8, "solution": ["D^1", "F<1", "Bv3", "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: ooBooCooBoDCAABoDCoooEEEoFFooooooGGo\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,F<1,Bv3,A>3,D^3,E<1,Dv3,A>1\n"]}} {"board": "ooAAoBoooCoBoDDCoEooFooEooFGGGooFHHH", "size": 6, "moves": 6, "solution": ["D<1", "F^2", "G<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: ooAAoBoooCoBoDDCoEooFooEooFGGGooFHHH\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,F^2,G<1,Fv1,Bv1,A>2\n"]}} {"board": "ooBBBCoAAooCDEFoGCDEFoGoDHIJJJoHIKKK", "size": 6, "moves": 8, "solution": ["Cv1", "B>1", "A>2", "F^2", "I^2", "J<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: ooBBBCoAAooCDEFoGCDEFoGoDHIJJJoHIKKK\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,B>1,A>2,F^2,I^2,J<1,Dv1,A>1\n"]}} {"board": "oAAoBCDDooBCoEEFBGHooFoGHooFIIHJJKKK", "size": 6, "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 (6×6) solver.\n\nInput: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).\nOutput exactly ONE optimal solution wrapped in tags:\n\n(brief internal reasoning)\n\n\ncomma,separated,move,list\n\nToken format: (A>2,B<1,Cv3). One move = slide any positive distance along axis.\nGoal: right end of 'A' reaches the right edge.\n", "Board size: 6x6\nBoard: oAAoBCDDooBCoEEFBGHooFoGHooFIIHJJKKK\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": "BooCCCBAAooDooEEEDFGHHIIFGJJKoFGooKo", "size": 6, "moves": 6, "solution": ["A>1", "G^3", "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: BooCCCBAAooDooEEEDFGHHIIFGJJKoFGooKo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,G^3,H<1,I<1,Ev1,A>2\n"]}} {"board": "oooooBooooCBDoAACEDoFFoEDGGGoEoHHIII", "size": 6, "moves": 5, "solution": ["C^1", "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: oooooBooooCBDoAACEDoFFoEDGGGoEoHHIII\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,H<1,I<1,Ev1,A>2\n"]}} {"board": "BoCDDDBoCEFGAAoEFGHHHEoIooJJJIoKKooI", "size": 6, "moves": 8, "solution": ["J<2", "Ev2", "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: BoCDDDBoCEFGAAoEFGHHHEoIooJJJIoKKooI\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nJ<2,Ev2,Ev2,A>3,Cv1,C<1,E^1,A>1\n"]}} {"board": "oAABooCooBooCDoEEEoDoFFGoHHooGoooooG", "size": 6, "moves": 6, "solution": ["C^1", "H>1", "Dv1", "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: oAABooCooBooCDoEEEoDoFFGoHHooGoooooG\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,H>1,Dv1,D<3,Cv1,A>3\n"]}} {"board": "ooBCCCAABDoEFoBDoEFGGHHoIIIooooooJJJ", "size": 6, "moves": 16, "solution": ["H>1", "Dv1", "I>3", "Ev2", "F<1", "Bv2", "A>3", "D^2", "F>1", "H^2", "I<3", "J<3", "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: ooBCCCAABDoEFoBDoEFGGHHoIIIooooooJJJ\nOptimal length (moves): 16\nReturn only the and blocks.", "\nShortest path found.\n\n\nH>1,Dv1,I>3,Ev2,F<1,Bv2,A>3,D^2,F>1,H^2,I<3,J<3,Fv2,G<1,Dv1,A>1\n"]}} {"board": "oooooooooooooAAoBoCoooBDCoEFBDCoEFGG", "size": 6, "moves": 5, "solution": ["E^1", "F^1", "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: oooooooooooooAAoBoCoooBDCoEFBDCoEFGG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,F^1,G<2,Bv1,A>3\n"]}} {"board": "oooBooAAoBCDooooCDooooCDEooFFFEGGHHH", "size": 6, "moves": 5, "solution": ["Bv2", "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: oooBooAAoBCDooooCDooooCDEooFFFEGGHHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,F<2,Bv1,Bv1,A>4\n"]}} {"board": "oooooooooBBBoooCCCoAADEFGoHDEFGoHDoo", "size": 6, "moves": 6, "solution": ["B<3", "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: oooooooooBBBoooCCCoAADEFGoHDEFGoHDoo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<3,C<3,D^3,E^2,F^2,A>3\n"]}} {"board": "AAooBoooCoBoooCDDDooEEooFGGHHHFooIIo", "size": 6, "moves": 7, "solution": ["E>1", "F^2", "G<1", "Cv2", "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: AAooBoooCoBoooCDDDooEEooFGGHHHFooIIo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nE>1,F^2,G<1,Cv2,D<2,Bv1,A>4\n"]}} {"board": "oBoCCCDBEEEoDooFFFDoAAGoooooGoooHHGo", "size": 6, "moves": 6, "solution": ["Bv3", "B<2", "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: oBoCCCDBEEEoDooFFFDoAAGoooooGoooHHGo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv3,B<2,D<1,E<2,G^3,A>2\n"]}} {"board": "ooBoCoAABoCoooDDDoEooFoGEHIFoGEHIFoG", "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: ooBoCoAABoCoooDDDoEooFoGEHIFoGEHIFoG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,Cv3,C>2,Bv2,A>4\n"]}} {"board": "oooBoooAABoooooBCCDoEEEoDFFFoGDoHHHG", "size": 6, "moves": 5, "solution": ["D^3", "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: oooBoooAABoooooBCCDoEEEoDFFFoGDoHHHG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^3,E<2,F<1,Cv2,A>3\n"]}} {"board": "ooBCoDooBCoDooBooEooAAFEGoooFoGoHHII", "size": 6, "moves": 5, "solution": ["F^2", "H<1", "I<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: ooBCoDooBCoDooBooEooAAFEGoooFoGoHHII\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^2,H<1,I<1,Fv2,A>2\n"]}} {"board": "ooBCooAABCooooBooDEoooFDEGHHFDEGIIIo", "size": 6, "moves": 5, "solution": ["Cv2", "F^1", "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: ooBCooAABCooooBooDEoooFDEGHHFDEGIIIo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,F^1,H>1,Bv2,A>4\n"]}} {"board": "AAoooBooCDDBEECFFFoGHooooGHoooooHIII", "size": 6, "moves": 5, "solution": ["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: AAoooBooCDDBEECFFFoGHooooGHoooooHIII\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>3,C^1,F<1,Cv1,A>1\n"]}} {"board": "oooBBBAAoCDooooCDoEoFFDoEooGGGEoooHH", "size": 6, "moves": 5, "solution": ["F<1", "Cv1", "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: oooBBBAAoCDooooCDoEoFFDoEooGGGEoooHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,Cv1,G<2,Cv1,A>4\n"]}} {"board": "ooBBBCooooDCAAooDCooEoFFooEoGGooEooo", "size": 6, "moves": 6, "solution": ["B<1", "D^1", "F<1", "G<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: ooBBBCooooDCAAooDCooEoFFooEoGGooEooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,D^1,F<1,G<1,Dv3,A>4\n"]}} {"board": "AAooBCDDDoBCoEFFGGHEIJJJHEIKooHoIKoo", "size": 6, "moves": 6, "solution": ["Ev1", "E<2", "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: AAooBCDDDoBCoEFFGGHEIJJJHEIKooHoIKoo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,E<2,F<2,Bv1,Bv1,A>4\n"]}} {"board": "BBBooCAAooDCooEEDCooFoGGooFoHoooFoHo", "size": 6, "moves": 9, "solution": ["E<2", "G<1", "Cv2", "B>3", "F^3", "G<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: BBBooCAAooDCooEEDCooFoGGooFoHoooFoHo\nOptimal length (moves): 9\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<2,G<1,Cv2,B>3,F^3,G<3,Bv2,Cv1,A>4\n"]}} {"board": "ooBoooooBCCCoDooEoFDAAEoFGHHHoFGoIII", "size": 6, "moves": 6, "solution": ["D^2", "G^2", "H<1", "I<2", "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: ooBoooooBCCCoDooEoFDAAEoFGHHHoFGoIII\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,G^2,H<1,I<2,Fv2,A>2\n"]}} {"board": "oooAABCCCDoBEooDoBEFFFGGHHoIIooJJKKK", "size": 6, "moves": 6, "solution": ["H>1", "Ev2", "E<1", "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: oooAABCCCDoBEooDoBEFFFGGHHoIIooJJKKK\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nH>1,Ev2,E<1,F<1,Bv1,A>1\n"]}} {"board": "oAABoCoooBDCEEFFDooGHoIooGHoIooGooIo", "size": 6, "moves": 7, "solution": ["Cv3", "C^1", "E>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: oAABoCoooBDCEEFFDooGHoIooGHoIooGooIo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv3,C^1,E>2,Bv3,D<2,Bv1,A>3\n"]}} {"board": "oooooBoooAABCCoooBooooooDEEEFFDooGGG", "size": 6, "moves": 6, "solution": ["C>1", "D^2", "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: oooooBoooAABCCoooBooooooDEEEFFDooGGG\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nC>1,D^2,E<1,F<1,Bv2,A>1\n"]}} {"board": "AAoBCooooBCooooBoooDEEFooDGGFoooooFo", "size": 6, "moves": 5, "solution": ["Cv1", "D^2", "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: AAoBCooooBCooooBoooDEEFooDGGFoooooFo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,D^2,E<1,Bv1,A>4\n"]}} {"board": "BoCAADBoCooDEFCooDEFoGGHoFIooHooIJJJ", "size": 6, "moves": 5, "solution": ["I^1", "J<1", "Iv1", "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: BoCAADBoCooDEFCooDEFoGGHoFIooHooIJJJ\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nI^1,J<1,Iv1,Dv1,A>1\n"]}} {"board": "oBoCCCoBAAoDoBEEEDFGGGoDFHHHIIFoooJJ", "size": 6, "moves": 5, "solution": ["F^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: oBoCCCoBAAoDoBEEEDFGGGoDFHHHIIFoooJJ\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^2,H<1,I<1,Ev1,A>2\n"]}} {"board": "BBBCooAAoCoDooEEFDoGGGFoooooFoooHHII", "size": 6, "moves": 5, "solution": ["Dv1", "D<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: BBBCooAAoCoDooEEFDoGGGFoooooFoooHHII\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,D<1,G<1,Cv2,A>4\n"]}} {"board": "AAoooBooCCoBooDEEEooDFooGoDFHIGJJFHI", "size": 6, "moves": 6, "solution": ["G^1", "J<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: AAoooBooCCoBooDEEEooDFooGoDFHIGJJFHI\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nG^1,J<1,Dv1,D<1,Bv1,A>4\n"]}} {"board": "oooooBCooooBCoDAABooDEEEooDooooFFFGG", "size": 6, "moves": 6, "solution": ["D^2", "E<1", "F<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: oooooBCooooBCoDAABooDEEEooDooooFFFGG\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,E<1,F<1,G<1,Cv3,A>1\n"]}} {"board": "oooAABCCCooBoooooDEooFoDEooFGGEHHHoo", "size": 6, "moves": 5, "solution": ["F^1", "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: oooAABCCCooBoooooDEooFoDEooFGGEHHHoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,G<1,Ev1,Bv1,A>1\n"]}} {"board": "oooooooooBBBoCoDDDoCooEooCAAEoooooEo", "size": 6, "moves": 5, "solution": ["B<2", "Cv1", "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: oooooooooBBBoCoDDDoCooEooCAAEoooooEo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<2,Cv1,C<2,E^2,A>2\n"]}} {"board": "ooBAACooBDDCoooEEFooGooFHoGIIIHooooo", "size": 6, "moves": 5, "solution": ["G^1", "I<1", "Gv1", "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: ooBAACooBDDCoooEEFooGooFHoGIIIHooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nG^1,I<1,Gv1,Cv1,A>1\n"]}} {"board": "ooooooBoAAoCBooooCBDDDEEooFoooooFooo", "size": 6, "moves": 5, "solution": ["B^1", "D<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: ooooooBoAAoCBooooCBDDDEEooFoooooFooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^1,D<1,E<1,Cv1,A>2\n"]}} {"board": "AAoBCoDDoBCooEEoFFoGHooooGHoIooGHoIo", "size": 6, "moves": 5, "solution": ["Bv3", "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: AAoBCoDDoBCooEEoFFoGHooooGHoIooGHoIo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv3,D<1,E<2,Bv1,A>4\n"]}} {"board": "oooooooooooooAABooCCoBoDoEoBoDoEoFFD", "size": 6, "moves": 14, "solution": ["B^2", "D^3", "D>4", "E^1", "F<2", "Bv3", "A>1", "C^3", "A<1", "D^3", "E<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: oooooooooooooAABooCCoBoDoEoBoDoEoFFD\nOptimal length (moves): 14\nReturn only the and blocks.", "\nShortest path found.\n\n\nB^2,D^3,D>4,E^1,F<2,Bv3,A>1,C^3,A<1,D^3,E<3,Cv3,Cv3,A>3\n"]}} {"board": "oooBBBoAACDEFFoCDEooGoDoHIGoJJHIKKoo", "size": 6, "moves": 6, "solution": ["Cv1", "Dv1", "G^1", "J<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: oooBBBoAACDEFFoCDEooGoDoHIGoJJHIKKoo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,Dv1,G^1,J<2,Cv1,A>3\n"]}} {"board": "ooooooooBoooAABoCDooBoCDoEEooDoFFooo", "size": 6, "moves": 6, "solution": ["C^2", "Dv1", "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: ooooooooBoooAABoCDooBoCDoEEooDoFFooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,Dv1,E<1,F<1,Cv2,A>4\n"]}} {"board": "oooBBBoAAoCDooEoCDooEoFFGooooHGooooH", "size": 6, "moves": 5, "solution": ["Ev2", "E<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: oooBBBoAAoCDooEoCDooEoFFGooooHGooooH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv2,E<2,Cv1,Cv1,A>3\n"]}} {"board": "AAoBCDEooBCDEooFFFGHooooGHoooIoHoooI", "size": 6, "moves": 7, "solution": ["A>1", "E^1", "F<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: AAoBCDEooBCDEooFFFGHooooGHoooIoHoooI\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,E^1,F<3,Cv1,Cv1,Cv1,A>3\n"]}} {"board": "oBoooooBoCCCoBooDooAAoDEoooFFEoooooE", "size": 6, "moves": 5, "solution": ["C<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: oBoooooBoCCCoBooDooAAoDEoooFFEoooooE\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,E^3,F<1,Ev2,A>3\n"]}} {"board": "oBCoDooBCoDooAAEDoFFFEoooooEGGHHHooo", "size": 6, "moves": 5, "solution": ["E^1", "G<3", "Dv3", "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: oBCoDooBCoDooAAEDoFFFEoooooEGGHHHooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,G<3,Dv3,Dv2,A>3\n"]}} {"board": "oooooBoCooDBoCAADBoCooEEFFFooooooGGG", "size": 6, "moves": 5, "solution": ["D^1", "E<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: oooooBoCooDBoCAADBoCooEEFFFooooooGGG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,E<1,G<1,Cv3,A>2\n"]}} {"board": "BCCCoDBAAoEDBFooEGoFooEGHFIoJJHoIooo", "size": 6, "moves": 6, "solution": ["I^2", "J<2", "Ev1", "Hv2", "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: BCCCoDBAAoEDBFooEGoFooEGHFIoJJHoIooo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nI^2,J<2,Ev1,Hv2,Dv2,A>3\n"]}} {"board": "oBoooooBCCCoooDoooooDoooAAEFooooEFoo", "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: oBoooooBCCCoooDoooooDoooAAEFooooEFoo\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": "BBBCoDoooCoDAAoCEoFoGGEHFIIIJHFKKoJH", "size": 6, "moves": 7, "solution": ["A>1", "E^2", "F^2", "G<1", "I<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: BBBCoDoooCoDAAoCEoFoGGEHFIIIJHFKKoJH\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,E^2,F^2,G<1,I<1,Cv3,A>3\n"]}} {"board": "oooBBBoAAoCDEEooCDFGGHIDFooHIoFooJJJ", "size": 6, "moves": 5, "solution": ["Dv1", "J<2", "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: oooBBBoAAoCDEEooCDFGGHIDFooHIoFooJJJ\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,J<2,Iv1,Cv1,A>3\n"]}} {"board": "ooBoooooBCCCDoooooDoAAoEFoGGGEFoHHoE", "size": 6, "moves": 5, "solution": ["A>1", "Bv2", "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: ooBoooooBCCCDoooooDoAAoEFoGGGEFoHHoE\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,Bv2,B<1,E^3,A>1\n"]}} {"board": "ooBoooCoBoDoCoAADoCEooDoFEoGGGFEoHHH", "size": 6, "moves": 5, "solution": ["E^2", "G<2", "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: ooBoooCoBoDoCoAADoCEooDoFEoGGGFEoHHH\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^2,G<2,H<2,Ev2,A>2\n"]}} {"board": "BooCCCBoooDoBoEoDoAAEoDFoooGGFHHHoII", "size": 6, "moves": 5, "solution": ["C<2", "D^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: BooCCCBoooDoBoEoDoAAEoDFoooGGFHHHoII\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,D^1,E^1,F^2,A>4\n"]}} {"board": "ooooBooAAoBooCCoDDEoooFFEGHoIIEGHJJo", "size": 6, "moves": 5, "solution": ["C<1", "D<2", "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: ooooBooAAoBooCCoDDEoooFFEGHoIIEGHJJo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,D<2,F<2,Bv2,A>3\n"]}} {"board": "BAAoCDBoEoCDBFEoCDGFHHHoGoIoooooIJJJ", "size": 6, "moves": 5, "solution": ["Dv1", "F^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: BAAoCDBoEoCDBFEoCDGFHHHoGoIoooooIJJJ\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv1,F^1,H<1,Cv1,A>3\n"]}} {"board": "AAoBCDEEEBCDFFGBoHIoGoJHIoGoJHIKKKJo", "size": 6, "moves": 5, "solution": ["Bv1", "Bv1", "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: AAoBCDEEEBCDFFGBoHIoGoJHIoGoJHIKKKJo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Bv1,Hv1,Bv1,A>4\n"]}} {"board": "ooBCCCooBooDoAAooDooEEoDoooFGGHHHFoo", "size": 6, "moves": 6, "solution": ["E<1", "F^2", "G<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: ooBCCCooBooDoAAooDooEEoDoooFGGHHHFoo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nE<1,F^2,G<3,Dv2,Dv1,A>3\n"]}} {"board": "ooooBoooooBoCoAABoCDDoEEoooooooooooo", "size": 6, "moves": 5, "solution": ["C^1", "D<1", "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: ooooBoooooBoCoAABoCDDoEEoooooooooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D<1,E<2,Bv3,A>2\n"]}} {"board": "oBBBoCoAAooCDooEFFDGGEHIJoooHIJoooHo", "size": 6, "moves": 5, "solution": ["Ev1", "E<1", "Iv1", "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: oBBBoCoAAooCDooEFFDGGEHIJoooHIJoooHo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv1,E<1,Iv1,Cv2,A>3\n"]}} {"board": "BCCCooBDDDoooEEEoFoooGoFoAAGoooooGoo", "size": 6, "moves": 5, "solution": ["Bv3", "C<1", "D<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: BCCCooBDDDoooEEEoFoooGoFoAAGoooooGoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv3,C<1,D<1,G^2,A>3\n"]}} {"board": "AAooBooCCCBoooooDoooooDoooEoDoooEFFF", "size": 6, "moves": 5, "solution": ["E^1", "F<2", "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: AAooBooCCCBoooooDoooooDoooEoDoooEFFF\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,F<2,Dv1,Bv1,A>4\n"]}} {"board": "oBoooooBoCCCDoooEoDAAoEoDoooEooooooo", "size": 6, "moves": 5, "solution": ["A>1", "Bv2", "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: oBoooooBoCCCDoooEoDAAoEoDoooEooooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,Bv2,B<2,E^2,A>2\n"]}} {"board": "oooBBBCooDDDCEoooFCEooGFoEAAGHooIIIH", "size": 6, "moves": 6, "solution": ["B<1", "D<1", "F^2", "G^1", "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: oooBBBCooDDDCEoooFCEooGFoEAAGHooIIIH\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,D<1,F^2,G^1,H^2,A>2\n"]}} {"board": "oooooBoAAooBoooooBoooCoooooCDDoooCoo", "size": 6, "moves": 5, "solution": ["C^2", "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: oooooBoAAooBoooooBoooCoooooCDDoooCoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,D<3,Bv2,Bv1,A>3\n"]}} {"board": "ooBoooooBCDoAAoCDEFooCDEFoGGooFoooHH", "size": 6, "moves": 6, "solution": ["E^2", "G<1", "H<3", "Dv2", "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: ooBoooooBCDoAAoCDEFooCDEFoGGooFoooHH\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^2,G<1,H<3,Dv2,Dv2,A>4\n"]}} {"board": "ooAAoBCCCDoBEFoDGGEFoHHHoFoIIJooKKoJ", "size": 6, "moves": 7, "solution": ["A<1", "D^1", "Fv1", "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: ooAAoBCCCDoBEFoDGGEFoHHHoFoIIJooKKoJ\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<1,D^1,Fv1,F<3,Bv1,Bv1,A>3\n"]}} {"board": "ooBCCCooBoooooAAoDEFoGGDEFHIIIoFHJJo", "size": 6, "moves": 5, "solution": ["A>1", "Bv1", "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: ooBCCCooBoooooAAoDEFoGGDEFHIIIoFHJJo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,Bv1,B<1,D^2,A>1\n"]}} {"board": "ooooooAABoCoDDBoCEFGooHEFGIIHEFGooJJ", "size": 6, "moves": 5, "solution": ["Bv1", "J<2", "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: ooooooAABoCoDDBoCEFGooHEFGIIHEFGooJJ\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,J<2,Hv1,Bv1,A>4\n"]}} {"board": "oooooooooBCDoAABCDoooBCooEooFFoEooGG", "size": 6, "moves": 11, "solution": ["Bv2", "C^1", "A>1", "E^4", "A<1", "E^2", "F<3", "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: oooooooooBCDoAABCDoooBCooEooFFoEooGG\nOptimal length (moves): 11\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,C^1,A>1,E^4,A<1,E^2,F<3,G<3,Dv2,Dv2,A>3\n"]}} {"board": "oAAooBoCoooBoCoooBoCDEEEooDoooooDoFF", "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: oAAooBoCoooBoCoooBoCDEEEooDoooooDoFF\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": "BCCCooBDDDoooooooEoAAFoEGooFHEGooFHo", "size": 6, "moves": 6, "solution": ["Bv2", "B<1", "C<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: BCCCooBDDDoooooooEoAAFoEGooFHEGooFHo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,B<1,C<1,E^2,F^3,A>3\n"]}} {"board": "AAoooBCoDEFBCoDEFBCGHHIIJGoKKLJGoooL", "size": 6, "moves": 6, "solution": ["A>2", "G^3", "H<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: AAoooBCoDEFBCoDEFBCGHHIIJGoKKLJGoooL\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,G^3,H<1,I<1,Cv1,A>2\n"]}} {"board": "AABoCoooBDCoEEoDCooooDFFGGGHHoIIIoJJ", "size": 6, "moves": 6, "solution": ["Bv1", "D^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: AABoCoooBDCoEEoDCooooDFFGGGHHoIIIoJJ\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,D^1,F<3,Bv1,Bv1,A>4\n"]}} {"board": "oBBBooooAACDooEoCDFoEoGGFoHoooFoHooo", "size": 6, "moves": 8, "solution": ["A<2", "E^1", "G<2", "Dv3", "Dv1", "F>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: oBBBooooAACDooEoCDFoEoGGFoHoooFoHooo\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nA<2,E^1,G<2,Dv3,Dv1,F>1,Cv1,A>4\n"]}} {"board": "ooBCoDAABCoDoooEEEFFFooGHHooIGJJooIo", "size": 6, "moves": 8, "solution": ["Gv1", "F>3", "Bv4", "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: ooBCoDAABCoDoooEEEFFFooGHHooIGJJooIo\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nGv1,F>3,Bv4,D<3,E<3,Bv2,Bv2,A>4\n"]}} {"board": "oBBBCDAAooCDooEECDFGooHHFGoIIIFGJJJo", "size": 6, "moves": 7, "solution": ["A>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: oBBBCDAAooCDooEECDFGooHHFGoIIIFGJJJo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,G^2,H<2,I<2,Cv2,Cv2,A>2\n"]}} {"board": "BooooCBDEEECBDoooCoAAoFoooooFoGGGoFo", "size": 6, "moves": 5, "solution": ["A>1", "Dv1", "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: BooooCBDEEECBDoooCoAAoFoooooFoGGGoFo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,Dv1,D<1,F^3,A>2\n"]}} {"board": "BooCCCBDDDEoooFoEGooFHEGooFHIGAAoHIo", "size": 6, "moves": 5, "solution": ["C<2", "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: BooCCCBDDDEoooFoEGooFHEGooFHIGAAoHIo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<2,E^1,H^1,I^1,A>4\n"]}} {"board": "AABooCoDBooCoDoooCoDEFFFGoEHHoGooooo", "size": 6, "moves": 5, "solution": ["Bv1", "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: AABooCoDBooCoDoooCoDEFFFGoEHHoGooooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,Ev1,E<1,Bv1,A>4\n"]}} {"board": "oAABoCoooBoCDDDooCoEEEFFGHHHoIGoJJJI", "size": 6, "moves": 5, "solution": ["Bv1", "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: oAABoCoooBoCDDDooCoEEEFFGHHHoIGoJJJI\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv1,E<1,F<1,Bv1,A>3\n"]}} {"board": "ooBBBooooCCCDooEEEDooFoooAAFoooooFoo", "size": 6, "moves": 5, "solution": ["C<3", "Dv1", "D<3", "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: ooBBBooooCCCDooEEEDooFoooAAFoooooFoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<3,Dv1,D<3,F^2,A>3\n"]}} {"board": "ooooBCDDDoBCooAABCoEoFFooEoooooooGGG", "size": 6, "moves": 5, "solution": ["F<1", "G<2", "Bv3", "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: ooooBCDDDoBCooAABCoEoFFooEoooooooGGG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nF<1,G<2,Bv3,Bv3,A>2\n"]}} {"board": "oBBBoCAAoooCoooooooooDEEoooDFFoGGDoo", "size": 6, "moves": 6, "solution": ["B<1", "D^3", "E<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: oBBBoCAAoooCoooooooooDEEoooDFFoGGDoo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,D^3,E<3,Cv2,Cv2,A>4\n"]}} {"board": "BBBooooCCCooooDDDEoAAFoEGGoFoEHHHFoo", "size": 6, "moves": 5, "solution": ["C<1", "D<2", "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: BBBooooCCCooooDDDEoAAFoEGGoFoEHHHFoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC<1,D<2,E^2,F^3,A>3\n"]}} {"board": "oAAoBoooooBooooCDDEFGCooEFGHHHEFoIII", "size": 6, "moves": 5, "solution": ["C^2", "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: oAAoBoooooBooooCDDEFGCooEFGHHHEFoIII\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^2,D<3,Bv1,Bv1,A>3\n"]}} {"board": "oooooBoAACoBoDoCoEoDoooEoooFGGHHHFoo", "size": 6, "moves": 8, "solution": ["C^1", "F^2", "G<3", "Ev2", "Bv2", "Ev2", "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: oooooBoAACoBoDoCoEoDoooEoooFGGHHHFoo\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,F^2,G<3,Ev2,Bv2,Ev2,Bv2,A>3\n"]}} {"board": "AAooBoooCCBoooDoBooEDFFFGEoHHHGEoIII", "size": 6, "moves": 6, "solution": ["A>2", "Dv2", "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: AAooBoooCCBoooDoBooEDFFFGEoHHHGEoIII\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,Dv2,D^3,E<2,Cv1,A>2\n"]}} {"board": "ooooooooooBCAAooBCoooDBooooDoooooDEE", "size": 6, "moves": 6, "solution": ["C^1", "D^1", "E<3", "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: ooooooooooBCAAooBCoooDBooooDoooooDEE\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^1,D^1,E<3,Cv2,Cv1,A>4\n"]}} {"board": "ooBooCAABooCooBooCDooEEEDFoooooFoGGG", "size": 6, "moves": 6, "solution": ["Bv2", "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: ooBooCAABooCooBooCDooEEEDFoooooFoGGG\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv2,A>3,C^2,E<1,Cv2,A>1\n"]}} {"board": "oooooooBoCCCoBooooAAooDoooooDEooooDE", "size": 6, "moves": 5, "solution": ["A>2", "Bv1", "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: oooooooBoCCCoBooooAAooDoooooDEooooDE\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,Bv1,B<2,D^3,A>2\n"]}} {"board": "ooBAACooBDoCEoBDFFEGooHHEGoIIIoGooJJ", "size": 6, "moves": 7, "solution": ["Bv3", "A<2", "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: ooBAACooBDoCEoBDFFEGooHHEGoIIIoGooJJ\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nBv3,A<2,C^1,E<3,Bv1,Bv1,A>3\n"]}} {"board": "oooBBBoAAoCoDEooCoDEoFFFoEoGGGooHHoo", "size": 6, "moves": 5, "solution": ["A>1", "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: oooBBBoAAoCoDEooCoDEoFFFoEoGGGooHHoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,E^2,F<2,Dv1,A>2\n"]}} {"board": "oBBBCDoEEECDFooGGGFAAHooFoIHJoooIHJo", "size": 6, "moves": 6, "solution": ["B<1", "E<1", "Fv1", "F<3", "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: oBBBCDoEEECDFooGGGFAAHooFoIHJoooIHJo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nB<1,E<1,Fv1,F<3,H^3,A>3\n"]}} {"board": "ooBBBCDEEEoCDooAACDFFGGGHIIIJoHKKKJo", "size": 6, "moves": 5, "solution": ["D^1", "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: ooBBBCDEEEoCDooAACDFFGGGHIIIJoHKKKJo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,F<1,G<1,Dv3,A>1\n"]}} {"board": "ooBCooAABCooooDoEFGoDoEFGHHoooGoIIoo", "size": 6, "moves": 6, "solution": ["Cv2", "H>2", "I>1", "Cv2", "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: ooBCooAABCooooDoEFGoDoEFGHHoooGoIIoo\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,H>2,I>1,Cv2,Bv2,A>4\n"]}} {"board": "BoAACDBoEoCDBoEoCFoooooFGGGooFoHHoII", "size": 6, "moves": 5, "solution": ["Cv1", "I<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: BoAACDBoEoCDBoEoCFoooooFGGGooFoHHoII\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv1,I<1,Fv1,Cv1,A>2\n"]}} {"board": "oooooBAAoooBoooooBoooCDDEEoCoooooCoo", "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: oooooBAAoooBoooooBoooCDDEEoCoooooCoo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nC^3,D<3,Bv2,Bv2,A>4\n"]}} {"board": "BBBoooooAAoCoooDDCooEFFFooEoGGooEHHH", "size": 6, "moves": 6, "solution": ["B>3", "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: BBBoooooAAoCoooDDCooEFFFooEoGGooEHHH\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nB>3,A>1,E^3,F<1,Dv1,A>1\n"]}} {"board": "oAABoCDDDBoCEEEBoFoGGGoFoHHHoooooIII", "size": 6, "moves": 5, "solution": ["Fv1", "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: oAABoCDDDBoCEEEBoFoGGGoFoHHHoooooIII\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nFv1,Cv1,F<1,Bv1,A>3\n"]}} {"board": "ooooooBBBoooooCoooAACoDoEEEFDooooFGG", "size": 6, "moves": 5, "solution": ["D^2", "F^3", "F>3", "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: ooooooBBBoooooCoooAACoDoEEEFDooooFGG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^2,F^3,F>3,Ev2,A>4\n"]}} {"board": "BCCCooBAAooDoEoooDoEFGGGooFHHHooFIII", "size": 6, "moves": 6, "solution": ["C>2", "A>2", "F^3", "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: BCCCooBAAooDoEoooDoEFGGGooFHHHooFIII\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nC>2,A>2,F^3,G<1,Ev1,A>1\n"]}} {"board": "oBBBCDAAooCDEEEoCDFoGGHHFIIIooFJJKKK", "size": 6, "moves": 8, "solution": ["A>1", "E>1", "F^3", "G<2", "H<2", "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: oBBBCDAAooCDEEEoCDFoGGHHFIIIooFJJKKK\nOptimal length (moves): 8\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>1,E>1,F^3,G<2,H<2,Dv2,Dv2,A>3\n"]}} {"board": "oooBoCDooBoCDAABoCDEFFGooEooGooooHHH", "size": 6, "moves": 12, "solution": ["G^3", "G>2", "H<3", "Bv3", "A>1", "E^3", "A<1", "F^3", "G<3", "Cv3", "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: oooBoCDooBoCDAABoCDEFFGooEooGooooHHH\nOptimal length (moves): 12\nReturn only the and blocks.", "\nShortest path found.\n\n\nG^3,G>2,H<3,Bv3,A>1,E^3,A<1,F^3,G<3,Cv3,Dv3,A>3\n"]}} {"board": "ooooooooooooBBBoooooooCoAADoCoooDoCo", "size": 6, "moves": 5, "solution": ["B>3", "D^4", "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: ooooooooooooBBBoooooooCoAADoCoooDoCo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nB>3,D^4,C<2,D^2,A>4\n"]}} {"board": "ooAAoBCoDDoBCEEEFFGGoHHoIoJKKoIoJLLL", "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: ooAAoBCoDDoBCEEEFFGGoHHoIoJKKoIoJLLL\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": "oooBBBCoooooCDDDooCooEoFoooEoFAAoEoF", "size": 6, "moves": 6, "solution": ["F^1", "A>1", "Cv2", "C<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: oooBBBCoooooCDDDooCooEoFoooEoFAAoEoF\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nF^1,A>1,Cv2,C<1,F^1,A>3\n"]}} {"board": "BAAoCDBoooCDEEFGHHoIFGoooIoGJJoIKKoo", "size": 6, "moves": 7, "solution": ["Fv1", "K>2", "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: BAAoCDBoooCDEEFGHHoIFGoooIoGJJoIKKoo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nFv1,K>2,Fv1,F<2,Cv1,Cv1,A>3\n"]}} {"board": "oBBBooCDooooCDoEEEoooFoooAAFGooHHHGo", "size": 6, "moves": 7, "solution": ["B>1", "C^1", "D^1", "E<3", "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: oBBBooCDooooCDoEEEoooFoooAAFGooHHHGo\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nB>1,C^1,D^1,E<3,F^1,G^2,A>3\n"]}} {"board": "oooBBBooCoooDoCEEEDoCoooDAAooFoGGGoF", "size": 6, "moves": 7, "solution": ["A>2", "F^1", "G>2", "Cv2", "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: oooBBBooCoooDoCEEEDoCoooDAAooFoGGGoF\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,F^1,G>2,Cv2,D<1,F^1,A>1\n"]}} {"board": "BBBooCooAAoCoDEFFFoDEGGGHooIJJHooIKK", "size": 6, "moves": 5, "solution": ["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: BBBooCooAAoCoDEFFFoDEGGGHooIJJHooIKK\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nEv2,E<1,F<1,Cv2,A>2\n"]}} {"board": "oooAABoooCoBoooCDDooEFooGHEFoIGHEFoI", "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: oooAABoooCoBoooCDDooEFooGHEFoIGHEFoI\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": "oooooooAABCoDEoBCoDEoBCoDooFFFGGGooo", "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: oooooooAABCoDEoBCoDEoBCoDooFFFGGGooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD^1,F<3,Cv1,Cv1,A>3\n"]}} {"board": "BBBCCCooDoooAADoEFooDoEFoooooFoooGGG", "size": 6, "moves": 7, "solution": ["Dv2", "Dv1", "A>3", "E^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: BBBCCCooDoooAADoEFooDoEFoooooFoooGGG\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nDv2,Dv1,A>3,E^1,G<1,Ev1,A>1\n"]}} {"board": "ooBCCCAABoDEFoGGDEFHooIIFHJJoKoHoooK", "size": 6, "moves": 7, "solution": ["I<2", "Dv3", "Dv1", "E>1", "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: ooBCCCAABoDEFoGGDEFHooIIFHJJoKoHoooK\nOptimal length (moves): 7\nReturn only the and blocks.", "\nShortest path found.\n\n\nI<2,Dv3,Dv1,E>1,H>1,Bv2,A>4\n"]}} {"board": "BCCCooBoDAAEBoDFFEGHIooEGHIJJJoHoKKK", "size": 6, "moves": 6, "solution": ["C>2", "D^1", "I^1", "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: BCCCooBoDAAEBoDFFEGHIooEGHIJJJoHoKKK\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nC>2,D^1,I^1,J<1,Ev1,A>1\n"]}} {"board": "ooooBoooooBoAAooBooCoooooCooDDoCoEEE", "size": 6, "moves": 6, "solution": ["A>2", "C^1", "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: ooooBoooooBoAAooBooCoooooCooDDoCoEEE\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nA>2,C^1,D<2,E<2,Bv3,A>2\n"]}} {"board": "ooooBCoAAoBCoDDoEEFGGGooFoHIIIFoHJJJ", "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: ooooBCoAAoBCoDDoEEFGGGooFoHIIIFoHJJJ\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nD<1,E<2,Bv2,Bv2,A>3\n"]}} {"board": "oBBBCooDAACoEDooFFEGGoHHIJoKKKIJoLLL", "size": 6, "moves": 6, "solution": ["E^1", "F<2", "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: oBBBCooDAACoEDooFFEGGoHHIJoKKKIJoLLL\nOptimal length (moves): 6\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^1,F<2,G<1,H<2,Cv2,A>2\n"]}} {"board": "ooooBCoDAABCoDooBooooEEoooFFFoooooGG", "size": 6, "moves": 5, "solution": ["Cv2", "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: ooooBCoDAABCoDooBooooEEoooFFFoooooGG\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nCv2,E<1,F<1,Bv2,A>2\n"]}} {"board": "BooAACBoooDCBoooDCoEFFGGoEoooooEoHHo", "size": 6, "moves": 5, "solution": ["E^3", "F<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: BooAACBoooDCBoooDCoEFFGGoEoooooEoHHo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nE^3,F<1,G<1,Dv1,A>1\n"]}} {"board": "BBBoCDoAAoCDoooooDEFoGGoEFoHHHoFoooo", "size": 6, "moves": 5, "solution": ["G<1", "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: BBBoCDoAAoCDoooooDEFoGGoEFoHHHoFoooo\nOptimal length (moves): 5\nReturn only the and blocks.", "\nShortest path found.\n\n\nG<1,Cv2,H<1,Cv2,A>3\n"]}}