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TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: KRF, STN, ZPB, ITH, GGG, YNA, BVH, GAM, SPP\n- Travel distances (in kilometers) between each pair of airports:\nKRF to STN: 1778\nKRF to GAM: 11834\nKRF to GGG: 8747\nKRF to ITH: 6960\nKRF to BVH: 12084\nKRF to SPP: 8968\nKRF to YNA: 6470\nKRF to ZPB: 8289\nSTN to GAM: 11200\nSTN to GGG: 7880\nSTN to ITH: 5870\nSTN to BVH: 10337\nSTN to SPP: 7856\nSTN to YNA: 5314\nSTN to ZPB: 7330\nZPB to GAM: 6229\nZPB to GGG: 3041\nZPB to ITH: 2434\nZPB to BVH: 9836\nZPB to SPP: 13517\nZPB to YNA: 3185\nITH to GAM: 6635\nITH to GGG: 2378\nITH to BVH: 8052\nITH to SPP: 11801\nITH to YNA: 1843\nGGG to GAM: 6299\nGGG to BVH: 8347\nGGG to SPP: 13937\nGGG to YNA: 3738\nYNA to GAM: 7830\nYNA to BVH: 9289\nYNA to SPP: 12274\nBVH to GAM: 13958\nBVH to SPP: 9111\nGAM to SPP: 18227\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 50323, "style": "rule" }
{ "exact_answer": 50323, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"KRF\", \"id\": 0}, {\"name\": \"STN\", \"id\": 1}, {\"name\": \"ZPB\", \"id\": 2}, {\"name\": \"ITH\", \"id\": 3}, {\"name\": \"GGG\", \"id\": 4}, {\"name\": \"YNA\", \"id\": 5}, {\"name\": \"BVH\", \"id\": 6}, {\"name\": \"GAM\", \"id\": 7}, {\"name\": \"SPP\", \"id\": 8}], \"links\": [{\"weight\": 1778, \"source\": 0, \"target\": 1}, {\"weight\": 11834, \"source\": 0, \"target\": 7}, {\"weight\": 8747, \"source\": 0, \"target\": 4}, {\"weight\": 6960, \"source\": 0, \"target\": 3}, {\"weight\": 12084, \"source\": 0, \"target\": 6}, {\"weight\": 8968, \"source\": 0, \"target\": 8}, {\"weight\": 6470, \"source\": 0, \"target\": 5}, {\"weight\": 8289, \"source\": 0, \"target\": 2}, {\"weight\": 11200, \"source\": 1, \"target\": 7}, {\"weight\": 7880, \"source\": 1, \"target\": 4}, {\"weight\": 5870, \"source\": 1, \"target\": 3}, {\"weight\": 10337, \"source\": 1, \"target\": 6}, {\"weight\": 7856, \"source\": 1, \"target\": 8}, {\"weight\": 5314, \"source\": 1, \"target\": 5}, {\"weight\": 7330, \"source\": 1, \"target\": 2}, {\"weight\": 6229, \"source\": 2, \"target\": 7}, {\"weight\": 3041, \"source\": 2, \"target\": 4}, {\"weight\": 2434, \"source\": 2, \"target\": 3}, {\"weight\": 9836, \"source\": 2, \"target\": 6}, {\"weight\": 13517, \"source\": 2, \"target\": 8}, {\"weight\": 3185, \"source\": 2, \"target\": 5}, {\"weight\": 6635, \"source\": 3, \"target\": 7}, {\"weight\": 2378, \"source\": 3, \"target\": 4}, {\"weight\": 8052, \"source\": 3, \"target\": 6}, {\"weight\": 11801, \"source\": 3, \"target\": 8}, {\"weight\": 1843, \"source\": 3, \"target\": 5}, {\"weight\": 6299, \"source\": 4, \"target\": 7}, {\"weight\": 8347, \"source\": 4, \"target\": 6}, {\"weight\": 13937, \"source\": 4, \"target\": 8}, {\"weight\": 3738, \"source\": 4, \"target\": 5}, {\"weight\": 7830, \"source\": 5, \"target\": 7}, {\"weight\": 9289, \"source\": 5, \"target\": 6}, {\"weight\": 12274, \"source\": 5, \"target\": 8}, {\"weight\": 13958, \"source\": 6, \"target\": 7}, {\"weight\": 9111, \"source\": 6, \"target\": 8}, {\"weight\": 18227, \"source\": 7, \"target\": 8}]}", "id": 600, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: KRF, STN, ZPB, ITH, GGG, YNA, BVH, GAM, SPP\n- Travel distances (in kilometers) between each pair of airports:\nKRF to STN: 1778\nKRF to GAM: 11834\nKRF to GGG: 8747\nKRF to ITH: 6960\nKRF to BVH: 12084\nKRF to SPP: 8968\nKRF to YNA: 6470\nKRF to ZPB: 8289\nSTN to GAM: 11200\nSTN to GGG: 7880\nSTN to ITH: 5870\nSTN to BVH: 10337\nSTN to SPP: 7856\nSTN to YNA: 5314\nSTN to ZPB: 7330\nZPB to GAM: 6229\nZPB to GGG: 3041\nZPB to ITH: 2434\nZPB to BVH: 9836\nZPB to SPP: 13517\nZPB to YNA: 3185\nITH to GAM: 6635\nITH to GGG: 2378\nITH to BVH: 8052\nITH to SPP: 11801\nITH to YNA: 1843\nGGG to GAM: 6299\nGGG to BVH: 8347\nGGG to SPP: 13937\nGGG to YNA: 3738\nYNA to GAM: 7830\nYNA to BVH: 9289\nYNA to SPP: 12274\nBVH to GAM: 13958\nBVH to SPP: 9111\nGAM to SPP: 18227\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TBT, EJA, CLV, BJB, NOB, LLI, CAC, SKT, GJT\n- Travel distances (in kilometers) between each pair of airports:\nTBT to CAC: 4407\nTBT to NOB: 4332\nTBT to GJT: 8025\nTBT to CLV: 4331\nTBT to EJA: 4332\nTBT to SKT: 16199\nTBT to BJB: 14686\nTBT to LLI: 13295\nEJA to CAC: 5328\nEJA to NOB: 1674\nEJA to GJT: 5420\nEJA to CLV: 5708\nEJA to SKT: 14992\nEJA to BJB: 13622\nEJA to LLI: 14388\nCLV to CAC: 1290\nCLV to NOB: 6453\nCLV to GJT: 10146\nCLV to SKT: 14916\nCLV to BJB: 13763\nCLV to LLI: 10996\nBJB to CAC: 13816\nBJB to NOB: 13984\nBJB to GJT: 12806\nBJB to SKT: 2760\nBJB to LLI: 4135\nNOB to CAC: 6482\nNOB to GJT: 4237\nNOB to SKT: 15046\nNOB to LLI: 14801\nLLI to CAC: 11057\nLLI to GJT: 14090\nLLI to SKT: 4840\nCAC to GJT: 10094\nCAC to SKT: 14971\nSKT to GJT: 13316\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 47132, "style": "rule" }
{ "exact_answer": 47132, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"TBT\", \"id\": 0}, {\"name\": \"EJA\", \"id\": 1}, {\"name\": \"CLV\", \"id\": 2}, {\"name\": \"BJB\", \"id\": 3}, {\"name\": \"NOB\", \"id\": 4}, {\"name\": \"LLI\", \"id\": 5}, {\"name\": \"CAC\", \"id\": 6}, {\"name\": \"SKT\", \"id\": 7}, {\"name\": \"GJT\", \"id\": 8}], \"links\": [{\"weight\": 4407, \"source\": 0, \"target\": 6}, {\"weight\": 4332, \"source\": 0, \"target\": 4}, {\"weight\": 8025, \"source\": 0, \"target\": 8}, {\"weight\": 4331, \"source\": 0, \"target\": 2}, {\"weight\": 4332, \"source\": 0, \"target\": 1}, {\"weight\": 16199, \"source\": 0, \"target\": 7}, {\"weight\": 14686, \"source\": 0, \"target\": 3}, {\"weight\": 13295, \"source\": 0, \"target\": 5}, {\"weight\": 5328, \"source\": 1, \"target\": 6}, {\"weight\": 1674, \"source\": 1, \"target\": 4}, {\"weight\": 5420, \"source\": 1, \"target\": 8}, {\"weight\": 5708, \"source\": 1, \"target\": 2}, {\"weight\": 14992, \"source\": 1, \"target\": 7}, {\"weight\": 13622, \"source\": 1, \"target\": 3}, {\"weight\": 14388, \"source\": 1, \"target\": 5}, {\"weight\": 1290, \"source\": 2, \"target\": 6}, {\"weight\": 6453, \"source\": 2, \"target\": 4}, {\"weight\": 10146, \"source\": 2, \"target\": 8}, {\"weight\": 14916, \"source\": 2, \"target\": 7}, {\"weight\": 13763, \"source\": 2, \"target\": 3}, {\"weight\": 10996, \"source\": 2, \"target\": 5}, {\"weight\": 13816, \"source\": 3, \"target\": 6}, {\"weight\": 13984, \"source\": 3, \"target\": 4}, {\"weight\": 12806, \"source\": 3, \"target\": 8}, {\"weight\": 2760, \"source\": 3, \"target\": 7}, {\"weight\": 4135, \"source\": 3, \"target\": 5}, {\"weight\": 6482, \"source\": 4, \"target\": 6}, {\"weight\": 4237, \"source\": 4, \"target\": 8}, {\"weight\": 15046, \"source\": 4, \"target\": 7}, {\"weight\": 14801, \"source\": 4, \"target\": 5}, {\"weight\": 11057, \"source\": 5, \"target\": 6}, {\"weight\": 14090, \"source\": 5, \"target\": 8}, {\"weight\": 4840, \"source\": 5, \"target\": 7}, {\"weight\": 10094, \"source\": 6, \"target\": 8}, {\"weight\": 14971, \"source\": 6, \"target\": 7}, {\"weight\": 13316, \"source\": 7, \"target\": 8}]}", "id": 601, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TBT, EJA, CLV, BJB, NOB, LLI, CAC, SKT, GJT\n- Travel distances (in kilometers) between each pair of airports:\nTBT to CAC: 4407\nTBT to NOB: 4332\nTBT to GJT: 8025\nTBT to CLV: 4331\nTBT to EJA: 4332\nTBT to SKT: 16199\nTBT to BJB: 14686\nTBT to LLI: 13295\nEJA to CAC: 5328\nEJA to NOB: 1674\nEJA to GJT: 5420\nEJA to CLV: 5708\nEJA to SKT: 14992\nEJA to BJB: 13622\nEJA to LLI: 14388\nCLV to CAC: 1290\nCLV to NOB: 6453\nCLV to GJT: 10146\nCLV to SKT: 14916\nCLV to BJB: 13763\nCLV to LLI: 10996\nBJB to CAC: 13816\nBJB to NOB: 13984\nBJB to GJT: 12806\nBJB to SKT: 2760\nBJB to LLI: 4135\nNOB to CAC: 6482\nNOB to GJT: 4237\nNOB to SKT: 15046\nNOB to LLI: 14801\nLLI to CAC: 11057\nLLI to GJT: 14090\nLLI to SKT: 4840\nCAC to GJT: 10094\nCAC to SKT: 14971\nSKT to GJT: 13316\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: NGB, LIR, SRP, JJN, PSM, ROW, BFL, USH, SDN\n- Travel distances (in kilometers) between each pair of airports:\nNGB to JJN: 795\nNGB to LIR: 14695\nNGB to USH: 21817\nNGB to BFL: 10434\nNGB to ROW: 12651\nNGB to SRP: 8616\nNGB to PSM: 14914\nNGB to SDN: 8617\nLIR to JJN: 15324\nLIR to USH: 7857\nLIR to BFL: 4405\nLIR to ROW: 3443\nLIR to SRP: 9372\nLIR to PSM: 3964\nLIR to SDN: 9371\nSRP to JJN: 8937\nSRP to USH: 14498\nSRP to BFL: 8774\nSRP to ROW: 8489\nSRP to PSM: 9176\nSRP to SDN: 495\nJJN to USH: 21558\nJJN to BFL: 11033\nJJN to ROW: 13280\nJJN to PSM: 15535\nJJN to SDN: 8938\nPSM to USH: 11509\nPSM to BFL: 5568\nPSM to ROW: 4260\nPSM to SDN: 9179\nROW to USH: 11231\nROW to BFL: 2775\nROW to SDN: 8519\nBFL to USH: 11937\nBFL to SDN: 8804\nUSH to SDN: 14761\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 54016, "style": "rule" }
{ "exact_answer": 54016, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"NGB\", \"id\": 0}, {\"name\": \"LIR\", \"id\": 1}, {\"name\": \"SRP\", \"id\": 2}, {\"name\": \"JJN\", \"id\": 3}, {\"name\": \"PSM\", \"id\": 4}, {\"name\": \"ROW\", \"id\": 5}, {\"name\": \"BFL\", \"id\": 6}, {\"name\": \"USH\", \"id\": 7}, {\"name\": \"SDN\", \"id\": 8}], \"links\": [{\"weight\": 795, \"source\": 0, \"target\": 3}, {\"weight\": 14695, \"source\": 0, \"target\": 1}, {\"weight\": 21817, \"source\": 0, \"target\": 7}, {\"weight\": 10434, \"source\": 0, \"target\": 6}, {\"weight\": 12651, \"source\": 0, \"target\": 5}, {\"weight\": 8616, \"source\": 0, \"target\": 2}, {\"weight\": 14914, \"source\": 0, \"target\": 4}, {\"weight\": 8617, \"source\": 0, \"target\": 8}, {\"weight\": 15324, \"source\": 1, \"target\": 3}, {\"weight\": 7857, \"source\": 1, \"target\": 7}, {\"weight\": 4405, \"source\": 1, \"target\": 6}, {\"weight\": 3443, \"source\": 1, \"target\": 5}, {\"weight\": 9372, \"source\": 1, \"target\": 2}, {\"weight\": 3964, \"source\": 1, \"target\": 4}, {\"weight\": 9371, \"source\": 1, \"target\": 8}, {\"weight\": 8937, \"source\": 2, \"target\": 3}, {\"weight\": 14498, \"source\": 2, \"target\": 7}, {\"weight\": 8774, \"source\": 2, \"target\": 6}, {\"weight\": 8489, \"source\": 2, \"target\": 5}, {\"weight\": 9176, \"source\": 2, \"target\": 4}, {\"weight\": 495, \"source\": 2, \"target\": 8}, {\"weight\": 21558, \"source\": 3, \"target\": 7}, {\"weight\": 11033, \"source\": 3, \"target\": 6}, {\"weight\": 13280, \"source\": 3, \"target\": 5}, {\"weight\": 15535, \"source\": 3, \"target\": 4}, {\"weight\": 8938, \"source\": 3, \"target\": 8}, {\"weight\": 11509, \"source\": 4, \"target\": 7}, {\"weight\": 5568, \"source\": 4, \"target\": 6}, {\"weight\": 4260, \"source\": 4, \"target\": 5}, {\"weight\": 9179, \"source\": 4, \"target\": 8}, {\"weight\": 11231, \"source\": 5, \"target\": 7}, {\"weight\": 2775, \"source\": 5, \"target\": 6}, {\"weight\": 8519, \"source\": 5, \"target\": 8}, {\"weight\": 11937, \"source\": 6, \"target\": 7}, {\"weight\": 8804, \"source\": 6, \"target\": 8}, {\"weight\": 14761, \"source\": 7, \"target\": 8}]}", "id": 602, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: NGB, LIR, SRP, JJN, PSM, ROW, BFL, USH, SDN\n- Travel distances (in kilometers) between each pair of airports:\nNGB to JJN: 795\nNGB to LIR: 14695\nNGB to USH: 21817\nNGB to BFL: 10434\nNGB to ROW: 12651\nNGB to SRP: 8616\nNGB to PSM: 14914\nNGB to SDN: 8617\nLIR to JJN: 15324\nLIR to USH: 7857\nLIR to BFL: 4405\nLIR to ROW: 3443\nLIR to SRP: 9372\nLIR to PSM: 3964\nLIR to SDN: 9371\nSRP to JJN: 8937\nSRP to USH: 14498\nSRP to BFL: 8774\nSRP to ROW: 8489\nSRP to PSM: 9176\nSRP to SDN: 495\nJJN to USH: 21558\nJJN to BFL: 11033\nJJN to ROW: 13280\nJJN to PSM: 15535\nJJN to SDN: 8938\nPSM to USH: 11509\nPSM to BFL: 5568\nPSM to ROW: 4260\nPSM to SDN: 9179\nROW to USH: 11231\nROW to BFL: 2775\nROW to SDN: 8519\nBFL to USH: 11937\nBFL to SDN: 8804\nUSH to SDN: 14761\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TYS, JUJ, JHW, JEG, ABS, NQN, CNY, ZSA, BSD\n- Travel distances (in kilometers) between each pair of airports:\nTYS to NQN: 8702\nTYS to ZSA: 1729\nTYS to JUJ: 8569\nTYS to BSD: 13801\nTYS to CNY: 2788\nTYS to JEG: 7089\nTYS to ABS: 10968\nTYS to JHW: 1096\nJUJ to NQN: 1919\nJUJ to ZSA: 7547\nJUJ to BSD: 20048\nJUJ to CNY: 10573\nJUJ to JEG: 15132\nJUJ to ABS: 13938\nJUJ to JHW: 9379\nJHW to NQN: 9507\nJHW to ZSA: 2418\nJHW to BSD: 13505\nJHW to CNY: 3037\nJHW to JEG: 6631\nJHW to ABS: 10681\nJEG to NQN: 15113\nJEG to ZSA: 8126\nJEG to BSD: 11967\nJEG to CNY: 8540\nJEG to ABS: 7746\nABS to NQN: 13848\nABS to ZSA: 11726\nABS to BSD: 7717\nABS to CNY: 12571\nNQN to ZSA: 7532\nNQN to BSD: 19952\nNQN to CNY: 10602\nCNY to ZSA: 4250\nCNY to BSD: 12543\nZSA to BSD: 15422\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 57183, "style": "rule" }
{ "exact_answer": 57183, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"TYS\", \"id\": 0}, {\"name\": \"JUJ\", \"id\": 1}, {\"name\": \"JHW\", \"id\": 2}, {\"name\": \"JEG\", \"id\": 3}, {\"name\": \"ABS\", \"id\": 4}, {\"name\": \"NQN\", \"id\": 5}, {\"name\": \"CNY\", \"id\": 6}, {\"name\": \"ZSA\", \"id\": 7}, {\"name\": \"BSD\", \"id\": 8}], \"links\": [{\"weight\": 8702, \"source\": 0, \"target\": 5}, {\"weight\": 1729, \"source\": 0, \"target\": 7}, {\"weight\": 8569, \"source\": 0, \"target\": 1}, {\"weight\": 13801, \"source\": 0, \"target\": 8}, {\"weight\": 2788, \"source\": 0, \"target\": 6}, {\"weight\": 7089, \"source\": 0, \"target\": 3}, {\"weight\": 10968, \"source\": 0, \"target\": 4}, {\"weight\": 1096, \"source\": 0, \"target\": 2}, {\"weight\": 1919, \"source\": 1, \"target\": 5}, {\"weight\": 7547, \"source\": 1, \"target\": 7}, {\"weight\": 20048, \"source\": 1, \"target\": 8}, {\"weight\": 10573, \"source\": 1, \"target\": 6}, {\"weight\": 15132, \"source\": 1, \"target\": 3}, {\"weight\": 13938, \"source\": 1, \"target\": 4}, {\"weight\": 9379, \"source\": 1, \"target\": 2}, {\"weight\": 9507, \"source\": 2, \"target\": 5}, {\"weight\": 2418, \"source\": 2, \"target\": 7}, {\"weight\": 13505, \"source\": 2, \"target\": 8}, {\"weight\": 3037, \"source\": 2, \"target\": 6}, {\"weight\": 6631, \"source\": 2, \"target\": 3}, {\"weight\": 10681, \"source\": 2, \"target\": 4}, {\"weight\": 15113, \"source\": 3, \"target\": 5}, {\"weight\": 8126, \"source\": 3, \"target\": 7}, {\"weight\": 11967, \"source\": 3, \"target\": 8}, {\"weight\": 8540, \"source\": 3, \"target\": 6}, {\"weight\": 7746, \"source\": 3, \"target\": 4}, {\"weight\": 13848, \"source\": 4, \"target\": 5}, {\"weight\": 11726, \"source\": 4, \"target\": 7}, {\"weight\": 7717, \"source\": 4, \"target\": 8}, {\"weight\": 12571, \"source\": 4, \"target\": 6}, {\"weight\": 7532, \"source\": 5, \"target\": 7}, {\"weight\": 19952, \"source\": 5, \"target\": 8}, {\"weight\": 10602, \"source\": 5, \"target\": 6}, {\"weight\": 4250, \"source\": 6, \"target\": 7}, {\"weight\": 12543, \"source\": 6, \"target\": 8}, {\"weight\": 15422, \"source\": 7, \"target\": 8}]}", "id": 603, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TYS, JUJ, JHW, JEG, ABS, NQN, CNY, ZSA, BSD\n- Travel distances (in kilometers) between each pair of airports:\nTYS to NQN: 8702\nTYS to ZSA: 1729\nTYS to JUJ: 8569\nTYS to BSD: 13801\nTYS to CNY: 2788\nTYS to JEG: 7089\nTYS to ABS: 10968\nTYS to JHW: 1096\nJUJ to NQN: 1919\nJUJ to ZSA: 7547\nJUJ to BSD: 20048\nJUJ to CNY: 10573\nJUJ to JEG: 15132\nJUJ to ABS: 13938\nJUJ to JHW: 9379\nJHW to NQN: 9507\nJHW to ZSA: 2418\nJHW to BSD: 13505\nJHW to CNY: 3037\nJHW to JEG: 6631\nJHW to ABS: 10681\nJEG to NQN: 15113\nJEG to ZSA: 8126\nJEG to BSD: 11967\nJEG to CNY: 8540\nJEG to ABS: 7746\nABS to NQN: 13848\nABS to ZSA: 11726\nABS to BSD: 7717\nABS to CNY: 12571\nNQN to ZSA: 7532\nNQN to BSD: 19952\nNQN to CNY: 10602\nCNY to ZSA: 4250\nCNY to BSD: 12543\nZSA to BSD: 15422\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TVU, WBQ, ELS, TFF, BJM, YTZ, CDB, YYT, CJJ\n- Travel distances (in kilometers) between each pair of airports:\nTVU to WBQ: 10479\nTVU to CJJ: 9245\nTVU to BJM: 16407\nTVU to YYT: 14788\nTVU to YTZ: 12722\nTVU to TFF: 17094\nTVU to CDB: 10883\nTVU to ELS: 15256\nWBQ to CJJ: 11487\nWBQ to BJM: 17068\nWBQ to YYT: 7774\nWBQ to YTZ: 5905\nWBQ to TFF: 11409\nWBQ to CDB: 1586\nWBQ to ELS: 19882\nELS to CJJ: 13134\nELS to BJM: 3637\nELS to YYT: 13558\nELS to YTZ: 14274\nELS to TFF: 11424\nELS to CDB: 20286\nTFF to CJJ: 17582\nTFF to BJM: 11958\nTFF to YYT: 7201\nTFF to YTZ: 6335\nTFF to CDB: 11850\nBJM to CJJ: 11075\nBJM to YYT: 10540\nBJM to YTZ: 12520\nBJM to CDB: 17754\nYTZ to CJJ: 12041\nYTZ to YYT: 2109\nYTZ to CDB: 6309\nCDB to CJJ: 12173\nCDB to YYT: 8178\nYYT to CJJ: 12888\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 63065, "style": "rule" }
{ "exact_answer": 63065, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"TVU\", \"id\": 0}, {\"name\": \"WBQ\", \"id\": 1}, {\"name\": \"ELS\", \"id\": 2}, {\"name\": \"TFF\", \"id\": 3}, {\"name\": \"BJM\", \"id\": 4}, {\"name\": \"YTZ\", \"id\": 5}, {\"name\": \"CDB\", \"id\": 6}, {\"name\": \"YYT\", \"id\": 7}, {\"name\": \"CJJ\", \"id\": 8}], \"links\": [{\"weight\": 10479, \"source\": 0, \"target\": 1}, {\"weight\": 9245, \"source\": 0, \"target\": 8}, {\"weight\": 16407, \"source\": 0, \"target\": 4}, {\"weight\": 14788, \"source\": 0, \"target\": 7}, {\"weight\": 12722, \"source\": 0, \"target\": 5}, {\"weight\": 17094, \"source\": 0, \"target\": 3}, {\"weight\": 10883, \"source\": 0, \"target\": 6}, {\"weight\": 15256, \"source\": 0, \"target\": 2}, {\"weight\": 11487, \"source\": 1, \"target\": 8}, {\"weight\": 17068, \"source\": 1, \"target\": 4}, {\"weight\": 7774, \"source\": 1, \"target\": 7}, {\"weight\": 5905, \"source\": 1, \"target\": 5}, {\"weight\": 11409, \"source\": 1, \"target\": 3}, {\"weight\": 1586, \"source\": 1, \"target\": 6}, {\"weight\": 19882, \"source\": 1, \"target\": 2}, {\"weight\": 13134, \"source\": 2, \"target\": 8}, {\"weight\": 3637, \"source\": 2, \"target\": 4}, {\"weight\": 13558, \"source\": 2, \"target\": 7}, {\"weight\": 14274, \"source\": 2, \"target\": 5}, {\"weight\": 11424, \"source\": 2, \"target\": 3}, {\"weight\": 20286, \"source\": 2, \"target\": 6}, {\"weight\": 17582, \"source\": 3, \"target\": 8}, {\"weight\": 11958, \"source\": 3, \"target\": 4}, {\"weight\": 7201, \"source\": 3, \"target\": 7}, {\"weight\": 6335, \"source\": 3, \"target\": 5}, {\"weight\": 11850, \"source\": 3, \"target\": 6}, {\"weight\": 11075, \"source\": 4, \"target\": 8}, {\"weight\": 10540, \"source\": 4, \"target\": 7}, {\"weight\": 12520, \"source\": 4, \"target\": 5}, {\"weight\": 17754, \"source\": 4, \"target\": 6}, {\"weight\": 12041, \"source\": 5, \"target\": 8}, {\"weight\": 2109, \"source\": 5, \"target\": 7}, {\"weight\": 6309, \"source\": 5, \"target\": 6}, {\"weight\": 12173, \"source\": 6, \"target\": 8}, {\"weight\": 8178, \"source\": 6, \"target\": 7}, {\"weight\": 12888, \"source\": 7, \"target\": 8}]}", "id": 604, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TVU, WBQ, ELS, TFF, BJM, YTZ, CDB, YYT, CJJ\n- Travel distances (in kilometers) between each pair of airports:\nTVU to WBQ: 10479\nTVU to CJJ: 9245\nTVU to BJM: 16407\nTVU to YYT: 14788\nTVU to YTZ: 12722\nTVU to TFF: 17094\nTVU to CDB: 10883\nTVU to ELS: 15256\nWBQ to CJJ: 11487\nWBQ to BJM: 17068\nWBQ to YYT: 7774\nWBQ to YTZ: 5905\nWBQ to TFF: 11409\nWBQ to CDB: 1586\nWBQ to ELS: 19882\nELS to CJJ: 13134\nELS to BJM: 3637\nELS to YYT: 13558\nELS to YTZ: 14274\nELS to TFF: 11424\nELS to CDB: 20286\nTFF to CJJ: 17582\nTFF to BJM: 11958\nTFF to YYT: 7201\nTFF to YTZ: 6335\nTFF to CDB: 11850\nBJM to CJJ: 11075\nBJM to YYT: 10540\nBJM to YTZ: 12520\nBJM to CDB: 17754\nYTZ to CJJ: 12041\nYTZ to YYT: 2109\nYTZ to CDB: 6309\nCDB to CJJ: 12173\nCDB to YYT: 8178\nYYT to CJJ: 12888\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BFS, SJK, EGO, IRJ, SCE, FEZ, MGT, FKL, ALS\n- Travel distances (in kilometers) between each pair of airports:\nBFS to EGO: 3065\nBFS to FEZ: 2483\nBFS to SCE: 5472\nBFS to SJK: 9834\nBFS to IRJ: 12448\nBFS to ALS: 7538\nBFS to MGT: 14524\nBFS to FKL: 5911\nSJK to EGO: 11917\nSJK to FEZ: 7940\nSJK to SCE: 8364\nSJK to IRJ: 3225\nSJK to ALS: 10051\nSJK to MGT: 18165\nSJK to FKL: 8778\nEGO to FEZ: 4253\nEGO to SCE: 8386\nEGO to IRJ: 14610\nEGO to ALS: 9851\nEGO to MGT: 12055\nEGO to FKL: 8481\nIRJ to FEZ: 10458\nIRJ to SCE: 9895\nIRJ to ALS: 10884\nIRJ to MGT: 17054\nIRJ to FKL: 10102\nSCE to FEZ: 6439\nSCE to ALS: 2561\nSCE to MGT: 17366\nSCE to FKL: 800\nFEZ to ALS: 8799\nFEZ to MGT: 15701\nFEZ to FKL: 6890\nMGT to ALS: 16161\nMGT to FKL: 17202\nFKL to ALS: 2381\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 57553, "style": "rule" }
{ "exact_answer": 57553, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"BFS\", \"id\": 0}, {\"name\": \"SJK\", \"id\": 1}, {\"name\": \"EGO\", \"id\": 2}, {\"name\": \"IRJ\", \"id\": 3}, {\"name\": \"SCE\", \"id\": 4}, {\"name\": \"FEZ\", \"id\": 5}, {\"name\": \"MGT\", \"id\": 6}, {\"name\": \"FKL\", \"id\": 7}, {\"name\": \"ALS\", \"id\": 8}], \"links\": [{\"weight\": 3065, \"source\": 0, \"target\": 2}, {\"weight\": 2483, \"source\": 0, \"target\": 5}, {\"weight\": 5472, \"source\": 0, \"target\": 4}, {\"weight\": 9834, \"source\": 0, \"target\": 1}, {\"weight\": 12448, \"source\": 0, \"target\": 3}, {\"weight\": 7538, \"source\": 0, \"target\": 8}, {\"weight\": 14524, \"source\": 0, \"target\": 6}, {\"weight\": 5911, \"source\": 0, \"target\": 7}, {\"weight\": 11917, \"source\": 1, \"target\": 2}, {\"weight\": 7940, \"source\": 1, \"target\": 5}, {\"weight\": 8364, \"source\": 1, \"target\": 4}, {\"weight\": 3225, \"source\": 1, \"target\": 3}, {\"weight\": 10051, \"source\": 1, \"target\": 8}, {\"weight\": 18165, \"source\": 1, \"target\": 6}, {\"weight\": 8778, \"source\": 1, \"target\": 7}, {\"weight\": 4253, \"source\": 2, \"target\": 5}, {\"weight\": 8386, \"source\": 2, \"target\": 4}, {\"weight\": 14610, \"source\": 2, \"target\": 3}, {\"weight\": 9851, \"source\": 2, \"target\": 8}, {\"weight\": 12055, \"source\": 2, \"target\": 6}, {\"weight\": 8481, \"source\": 2, \"target\": 7}, {\"weight\": 10458, \"source\": 3, \"target\": 5}, {\"weight\": 9895, \"source\": 3, \"target\": 4}, {\"weight\": 10884, \"source\": 3, \"target\": 8}, {\"weight\": 17054, \"source\": 3, \"target\": 6}, {\"weight\": 10102, \"source\": 3, \"target\": 7}, {\"weight\": 6439, \"source\": 4, \"target\": 5}, {\"weight\": 2561, \"source\": 4, \"target\": 8}, {\"weight\": 17366, \"source\": 4, \"target\": 6}, {\"weight\": 800, \"source\": 4, \"target\": 7}, {\"weight\": 8799, \"source\": 5, \"target\": 8}, {\"weight\": 15701, \"source\": 5, \"target\": 6}, {\"weight\": 6890, \"source\": 5, \"target\": 7}, {\"weight\": 16161, \"source\": 6, \"target\": 8}, {\"weight\": 17202, \"source\": 6, \"target\": 7}, {\"weight\": 2381, \"source\": 7, \"target\": 8}]}", "id": 605, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BFS, SJK, EGO, IRJ, SCE, FEZ, MGT, FKL, ALS\n- Travel distances (in kilometers) between each pair of airports:\nBFS to EGO: 3065\nBFS to FEZ: 2483\nBFS to SCE: 5472\nBFS to SJK: 9834\nBFS to IRJ: 12448\nBFS to ALS: 7538\nBFS to MGT: 14524\nBFS to FKL: 5911\nSJK to EGO: 11917\nSJK to FEZ: 7940\nSJK to SCE: 8364\nSJK to IRJ: 3225\nSJK to ALS: 10051\nSJK to MGT: 18165\nSJK to FKL: 8778\nEGO to FEZ: 4253\nEGO to SCE: 8386\nEGO to IRJ: 14610\nEGO to ALS: 9851\nEGO to MGT: 12055\nEGO to FKL: 8481\nIRJ to FEZ: 10458\nIRJ to SCE: 9895\nIRJ to ALS: 10884\nIRJ to MGT: 17054\nIRJ to FKL: 10102\nSCE to FEZ: 6439\nSCE to ALS: 2561\nSCE to MGT: 17366\nSCE to FKL: 800\nFEZ to ALS: 8799\nFEZ to MGT: 15701\nFEZ to FKL: 6890\nMGT to ALS: 16161\nMGT to FKL: 17202\nFKL to ALS: 2381\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ZOS, MDW, MOZ, TAG, ZYI, DHM, BDJ, VOZ, RTA\n- Travel distances (in kilometers) between each pair of airports:\nZOS to TAG: 19048\nZOS to VOZ: 15024\nZOS to ZYI: 20479\nZOS to MDW: 9364\nZOS to DHM: 18235\nZOS to RTA: 13221\nZOS to BDJ: 17579\nZOS to MOZ: 8843\nMDW to TAG: 13783\nMDW to VOZ: 8639\nMDW to ZYI: 12657\nMDW to DHM: 12782\nMDW to RTA: 12289\nMDW to BDJ: 15527\nMDW to MOZ: 9439\nMOZ to TAG: 12415\nMOZ to VOZ: 16861\nMOZ to ZYI: 12730\nMOZ to DHM: 15776\nMOZ to RTA: 6501\nMOZ to BDJ: 11378\nTAG to VOZ: 9281\nTAG to ZYI: 2682\nTAG to DHM: 5903\nTAG to RTA: 8525\nTAG to BDJ: 2987\nZYI to VOZ: 6845\nZYI to DHM: 3491\nZYI to RTA: 9727\nZYI to BDJ: 4019\nDHM to VOZ: 5054\nDHM to RTA: 12959\nDHM to BDJ: 6207\nBDJ to VOZ: 10221\nBDJ to RTA: 8286\nVOZ to RTA: 15811\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 55847, "style": "rule" }
{ "exact_answer": 55847, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"ZOS\", \"id\": 0}, {\"name\": \"MDW\", \"id\": 1}, {\"name\": \"MOZ\", \"id\": 2}, {\"name\": \"TAG\", \"id\": 3}, {\"name\": \"ZYI\", \"id\": 4}, {\"name\": \"DHM\", \"id\": 5}, {\"name\": \"BDJ\", \"id\": 6}, {\"name\": \"VOZ\", \"id\": 7}, {\"name\": \"RTA\", \"id\": 8}], \"links\": [{\"weight\": 19048, \"source\": 0, \"target\": 3}, {\"weight\": 15024, \"source\": 0, \"target\": 7}, {\"weight\": 20479, \"source\": 0, \"target\": 4}, {\"weight\": 9364, \"source\": 0, \"target\": 1}, {\"weight\": 18235, \"source\": 0, \"target\": 5}, {\"weight\": 13221, \"source\": 0, \"target\": 8}, {\"weight\": 17579, \"source\": 0, \"target\": 6}, {\"weight\": 8843, \"source\": 0, \"target\": 2}, {\"weight\": 13783, \"source\": 1, \"target\": 3}, {\"weight\": 8639, \"source\": 1, \"target\": 7}, {\"weight\": 12657, \"source\": 1, \"target\": 4}, {\"weight\": 12782, \"source\": 1, \"target\": 5}, {\"weight\": 12289, \"source\": 1, \"target\": 8}, {\"weight\": 15527, \"source\": 1, \"target\": 6}, {\"weight\": 9439, \"source\": 1, \"target\": 2}, {\"weight\": 12415, \"source\": 2, \"target\": 3}, {\"weight\": 16861, \"source\": 2, \"target\": 7}, {\"weight\": 12730, \"source\": 2, \"target\": 4}, {\"weight\": 15776, \"source\": 2, \"target\": 5}, {\"weight\": 6501, \"source\": 2, \"target\": 8}, {\"weight\": 11378, \"source\": 2, \"target\": 6}, {\"weight\": 9281, \"source\": 3, \"target\": 7}, {\"weight\": 2682, \"source\": 3, \"target\": 4}, {\"weight\": 5903, \"source\": 3, \"target\": 5}, {\"weight\": 8525, \"source\": 3, \"target\": 8}, {\"weight\": 2987, \"source\": 3, \"target\": 6}, {\"weight\": 6845, \"source\": 4, \"target\": 7}, {\"weight\": 3491, \"source\": 4, \"target\": 5}, {\"weight\": 9727, \"source\": 4, \"target\": 8}, {\"weight\": 4019, \"source\": 4, \"target\": 6}, {\"weight\": 5054, \"source\": 5, \"target\": 7}, {\"weight\": 12959, \"source\": 5, \"target\": 8}, {\"weight\": 6207, \"source\": 5, \"target\": 6}, {\"weight\": 10221, \"source\": 6, \"target\": 7}, {\"weight\": 8286, \"source\": 6, \"target\": 8}, {\"weight\": 15811, \"source\": 7, \"target\": 8}]}", "id": 606, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ZOS, MDW, MOZ, TAG, ZYI, DHM, BDJ, VOZ, RTA\n- Travel distances (in kilometers) between each pair of airports:\nZOS to TAG: 19048\nZOS to VOZ: 15024\nZOS to ZYI: 20479\nZOS to MDW: 9364\nZOS to DHM: 18235\nZOS to RTA: 13221\nZOS to BDJ: 17579\nZOS to MOZ: 8843\nMDW to TAG: 13783\nMDW to VOZ: 8639\nMDW to ZYI: 12657\nMDW to DHM: 12782\nMDW to RTA: 12289\nMDW to BDJ: 15527\nMDW to MOZ: 9439\nMOZ to TAG: 12415\nMOZ to VOZ: 16861\nMOZ to ZYI: 12730\nMOZ to DHM: 15776\nMOZ to RTA: 6501\nMOZ to BDJ: 11378\nTAG to VOZ: 9281\nTAG to ZYI: 2682\nTAG to DHM: 5903\nTAG to RTA: 8525\nTAG to BDJ: 2987\nZYI to VOZ: 6845\nZYI to DHM: 3491\nZYI to RTA: 9727\nZYI to BDJ: 4019\nDHM to VOZ: 5054\nDHM to RTA: 12959\nDHM to BDJ: 6207\nBDJ to VOZ: 10221\nBDJ to RTA: 8286\nVOZ to RTA: 15811\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: NNB, SVR, AVV, URA, XCH, HUI, EDL, KHY, TEE\n- Travel distances (in kilometers) between each pair of airports:\nNNB to EDL: 14770\nNNB to TEE: 17484\nNNB to URA: 13348\nNNB to KHY: 13777\nNNB to SVR: 20286\nNNB to AVV: 3941\nNNB to XCH: 8600\nNNB to HUI: 7883\nSVR to EDL: 11978\nSVR to TEE: 7234\nSVR to URA: 8338\nSVR to KHY: 9666\nSVR to AVV: 21656\nSVR to XCH: 21430\nSVR to HUI: 13809\nAVV to EDL: 13283\nAVV to TEE: 18324\nAVV to URA: 14663\nAVV to KHY: 14447\nAVV to XCH: 6644\nAVV to HUI: 8230\nURA to EDL: 6391\nURA to TEE: 5110\nURA to KHY: 2781\nURA to XCH: 14339\nURA to HUI: 6997\nXCH to EDL: 11863\nXCH to TEE: 17134\nXCH to KHY: 13515\nXCH to HUI: 8155\nHUI to EDL: 8838\nHUI to TEE: 11066\nHUI to KHY: 7291\nEDL to TEE: 6979\nEDL to KHY: 5298\nKHY to TEE: 5414\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 62954, "style": "rule" }
{ "exact_answer": 62954, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"NNB\", \"id\": 0}, {\"name\": \"SVR\", \"id\": 1}, {\"name\": \"AVV\", \"id\": 2}, {\"name\": \"URA\", \"id\": 3}, {\"name\": \"XCH\", \"id\": 4}, {\"name\": \"HUI\", \"id\": 5}, {\"name\": \"EDL\", \"id\": 6}, {\"name\": \"KHY\", \"id\": 7}, {\"name\": \"TEE\", \"id\": 8}], \"links\": [{\"weight\": 14770, \"source\": 0, \"target\": 6}, {\"weight\": 17484, \"source\": 0, \"target\": 8}, {\"weight\": 13348, \"source\": 0, \"target\": 3}, {\"weight\": 13777, \"source\": 0, \"target\": 7}, {\"weight\": 20286, \"source\": 0, \"target\": 1}, {\"weight\": 3941, \"source\": 0, \"target\": 2}, {\"weight\": 8600, \"source\": 0, \"target\": 4}, {\"weight\": 7883, \"source\": 0, \"target\": 5}, {\"weight\": 11978, \"source\": 1, \"target\": 6}, {\"weight\": 7234, \"source\": 1, \"target\": 8}, {\"weight\": 8338, \"source\": 1, \"target\": 3}, {\"weight\": 9666, \"source\": 1, \"target\": 7}, {\"weight\": 21656, \"source\": 1, \"target\": 2}, {\"weight\": 21430, \"source\": 1, \"target\": 4}, {\"weight\": 13809, \"source\": 1, \"target\": 5}, {\"weight\": 13283, \"source\": 2, \"target\": 6}, {\"weight\": 18324, \"source\": 2, \"target\": 8}, {\"weight\": 14663, \"source\": 2, \"target\": 3}, {\"weight\": 14447, \"source\": 2, \"target\": 7}, {\"weight\": 6644, \"source\": 2, \"target\": 4}, {\"weight\": 8230, \"source\": 2, \"target\": 5}, {\"weight\": 6391, \"source\": 3, \"target\": 6}, {\"weight\": 5110, \"source\": 3, \"target\": 8}, {\"weight\": 2781, \"source\": 3, \"target\": 7}, {\"weight\": 14339, \"source\": 3, \"target\": 4}, {\"weight\": 6997, \"source\": 3, \"target\": 5}, {\"weight\": 11863, \"source\": 4, \"target\": 6}, {\"weight\": 17134, \"source\": 4, \"target\": 8}, {\"weight\": 13515, \"source\": 4, \"target\": 7}, {\"weight\": 8155, \"source\": 4, \"target\": 5}, {\"weight\": 8838, \"source\": 5, \"target\": 6}, {\"weight\": 11066, \"source\": 5, \"target\": 8}, {\"weight\": 7291, \"source\": 5, \"target\": 7}, {\"weight\": 6979, \"source\": 6, \"target\": 8}, {\"weight\": 5298, \"source\": 6, \"target\": 7}, {\"weight\": 5414, \"source\": 7, \"target\": 8}]}", "id": 607, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: NNB, SVR, AVV, URA, XCH, HUI, EDL, KHY, TEE\n- Travel distances (in kilometers) between each pair of airports:\nNNB to EDL: 14770\nNNB to TEE: 17484\nNNB to URA: 13348\nNNB to KHY: 13777\nNNB to SVR: 20286\nNNB to AVV: 3941\nNNB to XCH: 8600\nNNB to HUI: 7883\nSVR to EDL: 11978\nSVR to TEE: 7234\nSVR to URA: 8338\nSVR to KHY: 9666\nSVR to AVV: 21656\nSVR to XCH: 21430\nSVR to HUI: 13809\nAVV to EDL: 13283\nAVV to TEE: 18324\nAVV to URA: 14663\nAVV to KHY: 14447\nAVV to XCH: 6644\nAVV to HUI: 8230\nURA to EDL: 6391\nURA to TEE: 5110\nURA to KHY: 2781\nURA to XCH: 14339\nURA to HUI: 6997\nXCH to EDL: 11863\nXCH to TEE: 17134\nXCH to KHY: 13515\nXCH to HUI: 8155\nHUI to EDL: 8838\nHUI to TEE: 11066\nHUI to KHY: 7291\nEDL to TEE: 6979\nEDL to KHY: 5298\nKHY to TEE: 5414\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: MOL, PZO, FAR, AIN, CHO, SHC, MMB, VCA, AGM\n- Travel distances (in kilometers) between each pair of airports:\nMOL to AIN: 10998\nMOL to PZO: 8717\nMOL to CHO: 6383\nMOL to FAR: 7398\nMOL to SHC: 7152\nMOL to AGM: 3907\nMOL to MMB: 9053\nMOL to VCA: 9875\nPZO to AIN: 10446\nPZO to CHO: 3981\nPZO to FAR: 5453\nPZO to SHC: 13216\nPZO to AGM: 10084\nPZO to MMB: 15669\nPZO to VCA: 18029\nFAR to AIN: 5699\nFAR to CHO: 1803\nFAR to SHC: 13368\nFAR to AGM: 7741\nFAR to MMB: 10931\nFAR to VCA: 14718\nAIN to CHO: 6776\nAIN to SHC: 17607\nAIN to AGM: 11341\nAIN to MMB: 12034\nAIN to VCA: 15654\nCHO to SHC: 12343\nCHO to AGM: 6743\nCHO to MMB: 11989\nCHO to VCA: 14807\nSHC to AGM: 10402\nSHC to MMB: 11326\nSHC to VCA: 8555\nMMB to AGM: 12543\nMMB to VCA: 5567\nVCA to AGM: 13409\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 58782, "style": "rule" }
{ "exact_answer": 58782, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"MOL\", \"id\": 0}, {\"name\": \"PZO\", \"id\": 1}, {\"name\": \"FAR\", \"id\": 2}, {\"name\": \"AIN\", \"id\": 3}, {\"name\": \"CHO\", \"id\": 4}, {\"name\": \"SHC\", \"id\": 5}, {\"name\": \"MMB\", \"id\": 6}, {\"name\": \"VCA\", \"id\": 7}, {\"name\": \"AGM\", \"id\": 8}], \"links\": [{\"weight\": 10998, \"source\": 0, \"target\": 3}, {\"weight\": 8717, \"source\": 0, \"target\": 1}, {\"weight\": 6383, \"source\": 0, \"target\": 4}, {\"weight\": 7398, \"source\": 0, \"target\": 2}, {\"weight\": 7152, \"source\": 0, \"target\": 5}, {\"weight\": 3907, \"source\": 0, \"target\": 8}, {\"weight\": 9053, \"source\": 0, \"target\": 6}, {\"weight\": 9875, \"source\": 0, \"target\": 7}, {\"weight\": 10446, \"source\": 1, \"target\": 3}, {\"weight\": 3981, \"source\": 1, \"target\": 4}, {\"weight\": 5453, \"source\": 1, \"target\": 2}, {\"weight\": 13216, \"source\": 1, \"target\": 5}, {\"weight\": 10084, \"source\": 1, \"target\": 8}, {\"weight\": 15669, \"source\": 1, \"target\": 6}, {\"weight\": 18029, \"source\": 1, \"target\": 7}, {\"weight\": 5699, \"source\": 2, \"target\": 3}, {\"weight\": 1803, \"source\": 2, \"target\": 4}, {\"weight\": 13368, \"source\": 2, \"target\": 5}, {\"weight\": 7741, \"source\": 2, \"target\": 8}, {\"weight\": 10931, \"source\": 2, \"target\": 6}, {\"weight\": 14718, \"source\": 2, \"target\": 7}, {\"weight\": 6776, \"source\": 3, \"target\": 4}, {\"weight\": 17607, \"source\": 3, \"target\": 5}, {\"weight\": 11341, \"source\": 3, \"target\": 8}, {\"weight\": 12034, \"source\": 3, \"target\": 6}, {\"weight\": 15654, \"source\": 3, \"target\": 7}, {\"weight\": 12343, \"source\": 4, \"target\": 5}, {\"weight\": 6743, \"source\": 4, \"target\": 8}, {\"weight\": 11989, \"source\": 4, \"target\": 6}, {\"weight\": 14807, \"source\": 4, \"target\": 7}, {\"weight\": 10402, \"source\": 5, \"target\": 8}, {\"weight\": 11326, \"source\": 5, \"target\": 6}, {\"weight\": 8555, \"source\": 5, \"target\": 7}, {\"weight\": 12543, \"source\": 6, \"target\": 8}, {\"weight\": 5567, \"source\": 6, \"target\": 7}, {\"weight\": 13409, \"source\": 7, \"target\": 8}]}", "id": 608, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: MOL, PZO, FAR, AIN, CHO, SHC, MMB, VCA, AGM\n- Travel distances (in kilometers) between each pair of airports:\nMOL to AIN: 10998\nMOL to PZO: 8717\nMOL to CHO: 6383\nMOL to FAR: 7398\nMOL to SHC: 7152\nMOL to AGM: 3907\nMOL to MMB: 9053\nMOL to VCA: 9875\nPZO to AIN: 10446\nPZO to CHO: 3981\nPZO to FAR: 5453\nPZO to SHC: 13216\nPZO to AGM: 10084\nPZO to MMB: 15669\nPZO to VCA: 18029\nFAR to AIN: 5699\nFAR to CHO: 1803\nFAR to SHC: 13368\nFAR to AGM: 7741\nFAR to MMB: 10931\nFAR to VCA: 14718\nAIN to CHO: 6776\nAIN to SHC: 17607\nAIN to AGM: 11341\nAIN to MMB: 12034\nAIN to VCA: 15654\nCHO to SHC: 12343\nCHO to AGM: 6743\nCHO to MMB: 11989\nCHO to VCA: 14807\nSHC to AGM: 10402\nSHC to MMB: 11326\nSHC to VCA: 8555\nMMB to AGM: 12543\nMMB to VCA: 5567\nVCA to AGM: 13409\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: YBG, RNN, KGD, HSG, LAM, NNM, PLZ, KCZ, INU\n- Travel distances (in kilometers) between each pair of airports:\nYBG to KGD: 6842\nYBG to NNM: 8815\nYBG to HSG: 12097\nYBG to PLZ: 14507\nYBG to RNN: 6475\nYBG to KCZ: 11861\nYBG to LAM: 4433\nYBG to INU: 12941\nRNN to KGD: 1033\nRNN to NNM: 2696\nRNN to HSG: 8663\nRNN to PLZ: 10307\nRNN to KCZ: 9251\nRNN to LAM: 9635\nRNN to INU: 15484\nKGD to NNM: 2204\nKGD to HSG: 8184\nKGD to PLZ: 10288\nKGD to KCZ: 8772\nKGD to LAM: 10261\nKGD to INU: 15013\nHSG to NNM: 7318\nHSG to PLZ: 13306\nHSG to KCZ: 1511\nHSG to LAM: 11575\nHSG to INU: 7893\nLAM to NNM: 11499\nLAM to PLZ: 17586\nLAM to KCZ: 11261\nLAM to INU: 10895\nNNM to PLZ: 11710\nNNM to KCZ: 7906\nNNM to INU: 14121\nPLZ to KCZ: 14016\nPLZ to INU: 16012\nKCZ to INU: 7386\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 58953, "style": "rule" }
{ "exact_answer": 58953, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"YBG\", \"id\": 0}, {\"name\": \"RNN\", \"id\": 1}, {\"name\": \"KGD\", \"id\": 2}, {\"name\": \"HSG\", \"id\": 3}, {\"name\": \"LAM\", \"id\": 4}, {\"name\": \"NNM\", \"id\": 5}, {\"name\": \"PLZ\", \"id\": 6}, {\"name\": \"KCZ\", \"id\": 7}, {\"name\": \"INU\", \"id\": 8}], \"links\": [{\"weight\": 6842, \"source\": 0, \"target\": 2}, {\"weight\": 8815, \"source\": 0, \"target\": 5}, {\"weight\": 12097, \"source\": 0, \"target\": 3}, {\"weight\": 14507, \"source\": 0, \"target\": 6}, {\"weight\": 6475, \"source\": 0, \"target\": 1}, {\"weight\": 11861, \"source\": 0, \"target\": 7}, {\"weight\": 4433, \"source\": 0, \"target\": 4}, {\"weight\": 12941, \"source\": 0, \"target\": 8}, {\"weight\": 1033, \"source\": 1, \"target\": 2}, {\"weight\": 2696, \"source\": 1, \"target\": 5}, {\"weight\": 8663, \"source\": 1, \"target\": 3}, {\"weight\": 10307, \"source\": 1, \"target\": 6}, {\"weight\": 9251, \"source\": 1, \"target\": 7}, {\"weight\": 9635, \"source\": 1, \"target\": 4}, {\"weight\": 15484, \"source\": 1, \"target\": 8}, {\"weight\": 2204, \"source\": 2, \"target\": 5}, {\"weight\": 8184, \"source\": 2, \"target\": 3}, {\"weight\": 10288, \"source\": 2, \"target\": 6}, {\"weight\": 8772, \"source\": 2, \"target\": 7}, {\"weight\": 10261, \"source\": 2, \"target\": 4}, {\"weight\": 15013, \"source\": 2, \"target\": 8}, {\"weight\": 7318, \"source\": 3, \"target\": 5}, {\"weight\": 13306, \"source\": 3, \"target\": 6}, {\"weight\": 1511, \"source\": 3, \"target\": 7}, {\"weight\": 11575, \"source\": 3, \"target\": 4}, {\"weight\": 7893, \"source\": 3, \"target\": 8}, {\"weight\": 11499, \"source\": 4, \"target\": 5}, {\"weight\": 17586, \"source\": 4, \"target\": 6}, {\"weight\": 11261, \"source\": 4, \"target\": 7}, {\"weight\": 10895, \"source\": 4, \"target\": 8}, {\"weight\": 11710, \"source\": 5, \"target\": 6}, {\"weight\": 7906, \"source\": 5, \"target\": 7}, {\"weight\": 14121, \"source\": 5, \"target\": 8}, {\"weight\": 14016, \"source\": 6, \"target\": 7}, {\"weight\": 16012, \"source\": 6, \"target\": 8}, {\"weight\": 7386, \"source\": 7, \"target\": 8}]}", "id": 609, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: YBG, RNN, KGD, HSG, LAM, NNM, PLZ, KCZ, INU\n- Travel distances (in kilometers) between each pair of airports:\nYBG to KGD: 6842\nYBG to NNM: 8815\nYBG to HSG: 12097\nYBG to PLZ: 14507\nYBG to RNN: 6475\nYBG to KCZ: 11861\nYBG to LAM: 4433\nYBG to INU: 12941\nRNN to KGD: 1033\nRNN to NNM: 2696\nRNN to HSG: 8663\nRNN to PLZ: 10307\nRNN to KCZ: 9251\nRNN to LAM: 9635\nRNN to INU: 15484\nKGD to NNM: 2204\nKGD to HSG: 8184\nKGD to PLZ: 10288\nKGD to KCZ: 8772\nKGD to LAM: 10261\nKGD to INU: 15013\nHSG to NNM: 7318\nHSG to PLZ: 13306\nHSG to KCZ: 1511\nHSG to LAM: 11575\nHSG to INU: 7893\nLAM to NNM: 11499\nLAM to PLZ: 17586\nLAM to KCZ: 11261\nLAM to INU: 10895\nNNM to PLZ: 11710\nNNM to KCZ: 7906\nNNM to INU: 14121\nPLZ to KCZ: 14016\nPLZ to INU: 16012\nKCZ to INU: 7386\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: KZN, SDQ, KAA, CBH, MNT, MHD, ARI, OSD, LZY\n- Travel distances (in kilometers) between each pair of airports:\nKZN to SDQ: 10054\nKZN to LZY: 5458\nKZN to MNT: 12310\nKZN to CBH: 4860\nKZN to MHD: 3238\nKZN to ARI: 13923\nKZN to OSD: 2340\nKZN to KAA: 8620\nSDQ to LZY: 15460\nSDQ to MNT: 8205\nSDQ to CBH: 7754\nSDQ to MHD: 12094\nSDQ to ARI: 4355\nSDQ to OSD: 8768\nSDQ to KAA: 14051\nKAA to LZY: 9027\nKAA to MNT: 18610\nKAA to CBH: 8155\nKAA to MHD: 6785\nKAA to ARI: 11672\nKAA to OSD: 9407\nCBH to LZY: 9299\nCBH to MNT: 12321\nCBH to MHD: 5806\nCBH to ARI: 10837\nCBH to OSD: 3886\nMNT to LZY: 13700\nMNT to MHD: 15198\nMNT to ARI: 11892\nMNT to OSD: 10926\nMHD to LZY: 3591\nMHD to ARI: 15197\nMHD to OSD: 5138\nARI to LZY: 18690\nARI to OSD: 12807\nOSD to LZY: 7738\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 58613, "style": "rule" }
{ "exact_answer": 58613, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"KZN\", \"id\": 0}, {\"name\": \"SDQ\", \"id\": 1}, {\"name\": \"KAA\", \"id\": 2}, {\"name\": \"CBH\", \"id\": 3}, {\"name\": \"MNT\", \"id\": 4}, {\"name\": \"MHD\", \"id\": 5}, {\"name\": \"ARI\", \"id\": 6}, {\"name\": \"OSD\", \"id\": 7}, {\"name\": \"LZY\", \"id\": 8}], \"links\": [{\"weight\": 10054, \"source\": 0, \"target\": 1}, {\"weight\": 5458, \"source\": 0, \"target\": 8}, {\"weight\": 12310, \"source\": 0, \"target\": 4}, {\"weight\": 4860, \"source\": 0, \"target\": 3}, {\"weight\": 3238, \"source\": 0, \"target\": 5}, {\"weight\": 13923, \"source\": 0, \"target\": 6}, {\"weight\": 2340, \"source\": 0, \"target\": 7}, {\"weight\": 8620, \"source\": 0, \"target\": 2}, {\"weight\": 15460, \"source\": 1, \"target\": 8}, {\"weight\": 8205, \"source\": 1, \"target\": 4}, {\"weight\": 7754, \"source\": 1, \"target\": 3}, {\"weight\": 12094, \"source\": 1, \"target\": 5}, {\"weight\": 4355, \"source\": 1, \"target\": 6}, {\"weight\": 8768, \"source\": 1, \"target\": 7}, {\"weight\": 14051, \"source\": 1, \"target\": 2}, {\"weight\": 9027, \"source\": 2, \"target\": 8}, {\"weight\": 18610, \"source\": 2, \"target\": 4}, {\"weight\": 8155, \"source\": 2, \"target\": 3}, {\"weight\": 6785, \"source\": 2, \"target\": 5}, {\"weight\": 11672, \"source\": 2, \"target\": 6}, {\"weight\": 9407, \"source\": 2, \"target\": 7}, {\"weight\": 9299, \"source\": 3, \"target\": 8}, {\"weight\": 12321, \"source\": 3, \"target\": 4}, {\"weight\": 5806, \"source\": 3, \"target\": 5}, {\"weight\": 10837, \"source\": 3, \"target\": 6}, {\"weight\": 3886, \"source\": 3, \"target\": 7}, {\"weight\": 13700, \"source\": 4, \"target\": 8}, {\"weight\": 15198, \"source\": 4, \"target\": 5}, {\"weight\": 11892, \"source\": 4, \"target\": 6}, {\"weight\": 10926, \"source\": 4, \"target\": 7}, {\"weight\": 3591, \"source\": 5, \"target\": 8}, {\"weight\": 15197, \"source\": 5, \"target\": 6}, {\"weight\": 5138, \"source\": 5, \"target\": 7}, {\"weight\": 18690, \"source\": 6, \"target\": 8}, {\"weight\": 12807, \"source\": 6, \"target\": 7}, {\"weight\": 7738, \"source\": 7, \"target\": 8}]}", "id": 610, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: KZN, SDQ, KAA, CBH, MNT, MHD, ARI, OSD, LZY\n- Travel distances (in kilometers) between each pair of airports:\nKZN to SDQ: 10054\nKZN to LZY: 5458\nKZN to MNT: 12310\nKZN to CBH: 4860\nKZN to MHD: 3238\nKZN to ARI: 13923\nKZN to OSD: 2340\nKZN to KAA: 8620\nSDQ to LZY: 15460\nSDQ to MNT: 8205\nSDQ to CBH: 7754\nSDQ to MHD: 12094\nSDQ to ARI: 4355\nSDQ to OSD: 8768\nSDQ to KAA: 14051\nKAA to LZY: 9027\nKAA to MNT: 18610\nKAA to CBH: 8155\nKAA to MHD: 6785\nKAA to ARI: 11672\nKAA to OSD: 9407\nCBH to LZY: 9299\nCBH to MNT: 12321\nCBH to MHD: 5806\nCBH to ARI: 10837\nCBH to OSD: 3886\nMNT to LZY: 13700\nMNT to MHD: 15198\nMNT to ARI: 11892\nMNT to OSD: 10926\nMHD to LZY: 3591\nMHD to ARI: 15197\nMHD to OSD: 5138\nARI to LZY: 18690\nARI to OSD: 12807\nOSD to LZY: 7738\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: DRK, FON, PHW, ARK, FAV, ZHA, EYW, SPI, SNP\n- Travel distances (in kilometers) between each pair of airports:\nDRK to EYW: 2159\nDRK to ZHA: 16392\nDRK to FON: 221\nDRK to SPI: 3754\nDRK to SNP: 9134\nDRK to ARK: 15931\nDRK to PHW: 13565\nDRK to FAV: 11599\nFON to EYW: 2072\nFON to ZHA: 16305\nFON to SPI: 3667\nFON to SNP: 9047\nFON to ARK: 15844\nFON to PHW: 13478\nFON to FAV: 11512\nPHW to EYW: 14594\nPHW to ZHA: 11162\nPHW to SPI: 14678\nPHW to SNP: 20133\nPHW to ARK: 3299\nPHW to FAV: 17984\nARK to EYW: 15094\nARK to ZHA: 9586\nARK to SPI: 14466\nARK to SNP: 19094\nARK to FAV: 18803\nFAV to EYW: 10778\nFAV to ZHA: 13226\nFAV to SPI: 10060\nFAV to SNP: 10571\nZHA to EYW: 14757\nZHA to SPI: 13020\nZHA to SNP: 14318\nEYW to SPI: 1997\nEYW to SNP: 7762\nSPI to SNP: 6077\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 60614, "style": "rule" }
{ "exact_answer": 60614, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"DRK\", \"id\": 0}, {\"name\": \"FON\", \"id\": 1}, {\"name\": \"PHW\", \"id\": 2}, {\"name\": \"ARK\", \"id\": 3}, {\"name\": \"FAV\", \"id\": 4}, {\"name\": \"ZHA\", \"id\": 5}, {\"name\": \"EYW\", \"id\": 6}, {\"name\": \"SPI\", \"id\": 7}, {\"name\": \"SNP\", \"id\": 8}], \"links\": [{\"weight\": 2159, \"source\": 0, \"target\": 6}, {\"weight\": 16392, \"source\": 0, \"target\": 5}, {\"weight\": 221, \"source\": 0, \"target\": 1}, {\"weight\": 3754, \"source\": 0, \"target\": 7}, {\"weight\": 9134, \"source\": 0, \"target\": 8}, {\"weight\": 15931, \"source\": 0, \"target\": 3}, {\"weight\": 13565, \"source\": 0, \"target\": 2}, {\"weight\": 11599, \"source\": 0, \"target\": 4}, {\"weight\": 2072, \"source\": 1, \"target\": 6}, {\"weight\": 16305, \"source\": 1, \"target\": 5}, {\"weight\": 3667, \"source\": 1, \"target\": 7}, {\"weight\": 9047, \"source\": 1, \"target\": 8}, {\"weight\": 15844, \"source\": 1, \"target\": 3}, {\"weight\": 13478, \"source\": 1, \"target\": 2}, {\"weight\": 11512, \"source\": 1, \"target\": 4}, {\"weight\": 14594, \"source\": 2, \"target\": 6}, {\"weight\": 11162, \"source\": 2, \"target\": 5}, {\"weight\": 14678, \"source\": 2, \"target\": 7}, {\"weight\": 20133, \"source\": 2, \"target\": 8}, {\"weight\": 3299, \"source\": 2, \"target\": 3}, {\"weight\": 17984, \"source\": 2, \"target\": 4}, {\"weight\": 15094, \"source\": 3, \"target\": 6}, {\"weight\": 9586, \"source\": 3, \"target\": 5}, {\"weight\": 14466, \"source\": 3, \"target\": 7}, {\"weight\": 19094, \"source\": 3, \"target\": 8}, {\"weight\": 18803, \"source\": 3, \"target\": 4}, {\"weight\": 10778, \"source\": 4, \"target\": 6}, {\"weight\": 13226, \"source\": 4, \"target\": 5}, {\"weight\": 10060, \"source\": 4, \"target\": 7}, {\"weight\": 10571, \"source\": 4, \"target\": 8}, {\"weight\": 14757, \"source\": 5, \"target\": 6}, {\"weight\": 13020, \"source\": 5, \"target\": 7}, {\"weight\": 14318, \"source\": 5, \"target\": 8}, {\"weight\": 1997, \"source\": 6, \"target\": 7}, {\"weight\": 7762, \"source\": 6, \"target\": 8}, {\"weight\": 6077, \"source\": 7, \"target\": 8}]}", "id": 611, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: DRK, FON, PHW, ARK, FAV, ZHA, EYW, SPI, SNP\n- Travel distances (in kilometers) between each pair of airports:\nDRK to EYW: 2159\nDRK to ZHA: 16392\nDRK to FON: 221\nDRK to SPI: 3754\nDRK to SNP: 9134\nDRK to ARK: 15931\nDRK to PHW: 13565\nDRK to FAV: 11599\nFON to EYW: 2072\nFON to ZHA: 16305\nFON to SPI: 3667\nFON to SNP: 9047\nFON to ARK: 15844\nFON to PHW: 13478\nFON to FAV: 11512\nPHW to EYW: 14594\nPHW to ZHA: 11162\nPHW to SPI: 14678\nPHW to SNP: 20133\nPHW to ARK: 3299\nPHW to FAV: 17984\nARK to EYW: 15094\nARK to ZHA: 9586\nARK to SPI: 14466\nARK to SNP: 19094\nARK to FAV: 18803\nFAV to EYW: 10778\nFAV to ZHA: 13226\nFAV to SPI: 10060\nFAV to SNP: 10571\nZHA to EYW: 14757\nZHA to SPI: 13020\nZHA to SNP: 14318\nEYW to SPI: 1997\nEYW to SNP: 7762\nSPI to SNP: 6077\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: WJR, CCF, BTI, PIX, MPM, DGO, FAI, TCQ, HFT\n- Travel distances (in kilometers) between each pair of airports:\nWJR to FAI: 17190\nWJR to BTI: 17819\nWJR to DGO: 15905\nWJR to MPM: 3264\nWJR to CCF: 7651\nWJR to TCQ: 12762\nWJR to PIX: 9041\nWJR to HFT: 8301\nCCF to FAI: 11114\nCCF to BTI: 11743\nCCF to DGO: 9659\nCCF to MPM: 9606\nCCF to TCQ: 11277\nCCF to PIX: 2638\nCCF to HFT: 3288\nBTI to FAI: 629\nBTI to DGO: 6358\nBTI to MPM: 20003\nBTI to TCQ: 12125\nBTI to PIX: 10945\nBTI to HFT: 11518\nPIX to FAI: 10316\nPIX to DGO: 7785\nPIX to MPM: 10073\nPIX to TCQ: 10661\nPIX to HFT: 5248\nMPM to FAI: 19374\nMPM to DGO: 16072\nMPM to TCQ: 10860\nMPM to HFT: 11082\nDGO to FAI: 5729\nDGO to TCQ: 6005\nDGO to HFT: 9965\nFAI to TCQ: 11496\nFAI to HFT: 10889\nTCQ to HFT: 13611\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 51659, "style": "rule" }
{ "exact_answer": 51659, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"WJR\", \"id\": 0}, {\"name\": \"CCF\", \"id\": 1}, {\"name\": \"BTI\", \"id\": 2}, {\"name\": \"PIX\", \"id\": 3}, {\"name\": \"MPM\", \"id\": 4}, {\"name\": \"DGO\", \"id\": 5}, {\"name\": \"FAI\", \"id\": 6}, {\"name\": \"TCQ\", \"id\": 7}, {\"name\": \"HFT\", \"id\": 8}], \"links\": [{\"weight\": 17190, \"source\": 0, \"target\": 6}, {\"weight\": 17819, \"source\": 0, \"target\": 2}, {\"weight\": 15905, \"source\": 0, \"target\": 5}, {\"weight\": 3264, \"source\": 0, \"target\": 4}, {\"weight\": 7651, \"source\": 0, \"target\": 1}, {\"weight\": 12762, \"source\": 0, \"target\": 7}, {\"weight\": 9041, \"source\": 0, \"target\": 3}, {\"weight\": 8301, \"source\": 0, \"target\": 8}, {\"weight\": 11114, \"source\": 1, \"target\": 6}, {\"weight\": 11743, \"source\": 1, \"target\": 2}, {\"weight\": 9659, \"source\": 1, \"target\": 5}, {\"weight\": 9606, \"source\": 1, \"target\": 4}, {\"weight\": 11277, \"source\": 1, \"target\": 7}, {\"weight\": 2638, \"source\": 1, \"target\": 3}, {\"weight\": 3288, \"source\": 1, \"target\": 8}, {\"weight\": 629, \"source\": 2, \"target\": 6}, {\"weight\": 6358, \"source\": 2, \"target\": 5}, {\"weight\": 20003, \"source\": 2, \"target\": 4}, {\"weight\": 12125, \"source\": 2, \"target\": 7}, {\"weight\": 10945, \"source\": 2, \"target\": 3}, {\"weight\": 11518, \"source\": 2, \"target\": 8}, {\"weight\": 10316, \"source\": 3, \"target\": 6}, {\"weight\": 7785, \"source\": 3, \"target\": 5}, {\"weight\": 10073, \"source\": 3, \"target\": 4}, {\"weight\": 10661, \"source\": 3, \"target\": 7}, {\"weight\": 5248, \"source\": 3, \"target\": 8}, {\"weight\": 19374, \"source\": 4, \"target\": 6}, {\"weight\": 16072, \"source\": 4, \"target\": 5}, {\"weight\": 10860, \"source\": 4, \"target\": 7}, {\"weight\": 11082, \"source\": 4, \"target\": 8}, {\"weight\": 5729, \"source\": 5, \"target\": 6}, {\"weight\": 6005, \"source\": 5, \"target\": 7}, {\"weight\": 9965, \"source\": 5, \"target\": 8}, {\"weight\": 11496, \"source\": 6, \"target\": 7}, {\"weight\": 10889, \"source\": 6, \"target\": 8}, {\"weight\": 13611, \"source\": 7, \"target\": 8}]}", "id": 612, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: WJR, CCF, BTI, PIX, MPM, DGO, FAI, TCQ, HFT\n- Travel distances (in kilometers) between each pair of airports:\nWJR to FAI: 17190\nWJR to BTI: 17819\nWJR to DGO: 15905\nWJR to MPM: 3264\nWJR to CCF: 7651\nWJR to TCQ: 12762\nWJR to PIX: 9041\nWJR to HFT: 8301\nCCF to FAI: 11114\nCCF to BTI: 11743\nCCF to DGO: 9659\nCCF to MPM: 9606\nCCF to TCQ: 11277\nCCF to PIX: 2638\nCCF to HFT: 3288\nBTI to FAI: 629\nBTI to DGO: 6358\nBTI to MPM: 20003\nBTI to TCQ: 12125\nBTI to PIX: 10945\nBTI to HFT: 11518\nPIX to FAI: 10316\nPIX to DGO: 7785\nPIX to MPM: 10073\nPIX to TCQ: 10661\nPIX to HFT: 5248\nMPM to FAI: 19374\nMPM to DGO: 16072\nMPM to TCQ: 10860\nMPM to HFT: 11082\nDGO to FAI: 5729\nDGO to TCQ: 6005\nDGO to HFT: 9965\nFAI to TCQ: 11496\nFAI to HFT: 10889\nTCQ to HFT: 13611\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: YQB, AIT, CLV, HDS, XRY, ACK, ENY, PKZ, HTY\n- Travel distances (in kilometers) between each pair of airports:\nYQB to XRY: 5859\nYQB to ACK: 786\nYQB to CLV: 9135\nYQB to ENY: 12014\nYQB to AIT: 12002\nYQB to HTY: 8329\nYQB to PKZ: 14585\nYQB to HDS: 13794\nAIT to XRY: 17397\nAIT to ACK: 12089\nAIT to CLV: 12845\nAIT to ENY: 13704\nAIT to HTY: 19626\nAIT to PKZ: 12582\nAIT to HDS: 16617\nCLV to XRY: 8667\nCLV to ACK: 8672\nCLV to ENY: 18455\nCLV to HTY: 12226\nCLV to PKZ: 17798\nCLV to HDS: 8896\nHDS to XRY: 8566\nHDS to ACK: 13300\nHDS to ENY: 11500\nHDS to HTY: 7470\nHDS to PKZ: 9956\nXRY to ACK: 5662\nXRY to ENY: 9954\nXRY to HTY: 3853\nXRY to PKZ: 11160\nACK to ENY: 12144\nACK to HTY: 8697\nACK to PKZ: 14715\nENY to HTY: 7363\nENY to PKZ: 2698\nPKZ to HTY: 8021\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 64061, "style": "rule" }
{ "exact_answer": 64061, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"YQB\", \"id\": 0}, {\"name\": \"AIT\", \"id\": 1}, {\"name\": \"CLV\", \"id\": 2}, {\"name\": \"HDS\", \"id\": 3}, {\"name\": \"XRY\", \"id\": 4}, {\"name\": \"ACK\", \"id\": 5}, {\"name\": \"ENY\", \"id\": 6}, {\"name\": \"PKZ\", \"id\": 7}, {\"name\": \"HTY\", \"id\": 8}], \"links\": [{\"weight\": 5859, \"source\": 0, \"target\": 4}, {\"weight\": 786, \"source\": 0, \"target\": 5}, {\"weight\": 9135, \"source\": 0, \"target\": 2}, {\"weight\": 12014, \"source\": 0, \"target\": 6}, {\"weight\": 12002, \"source\": 0, \"target\": 1}, {\"weight\": 8329, \"source\": 0, \"target\": 8}, {\"weight\": 14585, \"source\": 0, \"target\": 7}, {\"weight\": 13794, \"source\": 0, \"target\": 3}, {\"weight\": 17397, \"source\": 1, \"target\": 4}, {\"weight\": 12089, \"source\": 1, \"target\": 5}, {\"weight\": 12845, \"source\": 1, \"target\": 2}, {\"weight\": 13704, \"source\": 1, \"target\": 6}, {\"weight\": 19626, \"source\": 1, \"target\": 8}, {\"weight\": 12582, \"source\": 1, \"target\": 7}, {\"weight\": 16617, \"source\": 1, \"target\": 3}, {\"weight\": 8667, \"source\": 2, \"target\": 4}, {\"weight\": 8672, \"source\": 2, \"target\": 5}, {\"weight\": 18455, \"source\": 2, \"target\": 6}, {\"weight\": 12226, \"source\": 2, \"target\": 8}, {\"weight\": 17798, \"source\": 2, \"target\": 7}, {\"weight\": 8896, \"source\": 2, \"target\": 3}, {\"weight\": 8566, \"source\": 3, \"target\": 4}, {\"weight\": 13300, \"source\": 3, \"target\": 5}, {\"weight\": 11500, \"source\": 3, \"target\": 6}, {\"weight\": 7470, \"source\": 3, \"target\": 8}, {\"weight\": 9956, \"source\": 3, \"target\": 7}, {\"weight\": 5662, \"source\": 4, \"target\": 5}, {\"weight\": 9954, \"source\": 4, \"target\": 6}, {\"weight\": 3853, \"source\": 4, \"target\": 8}, {\"weight\": 11160, \"source\": 4, \"target\": 7}, {\"weight\": 12144, \"source\": 5, \"target\": 6}, {\"weight\": 8697, \"source\": 5, \"target\": 8}, {\"weight\": 14715, \"source\": 5, \"target\": 7}, {\"weight\": 7363, \"source\": 6, \"target\": 8}, {\"weight\": 2698, \"source\": 6, \"target\": 7}, {\"weight\": 8021, \"source\": 7, \"target\": 8}]}", "id": 613, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: YQB, AIT, CLV, HDS, XRY, ACK, ENY, PKZ, HTY\n- Travel distances (in kilometers) between each pair of airports:\nYQB to XRY: 5859\nYQB to ACK: 786\nYQB to CLV: 9135\nYQB to ENY: 12014\nYQB to AIT: 12002\nYQB to HTY: 8329\nYQB to PKZ: 14585\nYQB to HDS: 13794\nAIT to XRY: 17397\nAIT to ACK: 12089\nAIT to CLV: 12845\nAIT to ENY: 13704\nAIT to HTY: 19626\nAIT to PKZ: 12582\nAIT to HDS: 16617\nCLV to XRY: 8667\nCLV to ACK: 8672\nCLV to ENY: 18455\nCLV to HTY: 12226\nCLV to PKZ: 17798\nCLV to HDS: 8896\nHDS to XRY: 8566\nHDS to ACK: 13300\nHDS to ENY: 11500\nHDS to HTY: 7470\nHDS to PKZ: 9956\nXRY to ACK: 5662\nXRY to ENY: 9954\nXRY to HTY: 3853\nXRY to PKZ: 11160\nACK to ENY: 12144\nACK to HTY: 8697\nACK to PKZ: 14715\nENY to HTY: 7363\nENY to PKZ: 2698\nPKZ to HTY: 8021\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: AXM, YAT, BOM, BTV, YFA, TRZ, CRI, INH, YWG\n- Travel distances (in kilometers) between each pair of airports:\nAXM to YWG: 5477\nAXM to BOM: 15744\nAXM to TRZ: 17071\nAXM to BTV: 4587\nAXM to INH: 12721\nAXM to CRI: 3144\nAXM to YAT: 5494\nAXM to YFA: 5399\nYAT to YWG: 1714\nYAT to BOM: 13518\nYAT to TRZ: 14807\nYAT to BTV: 2066\nYAT to INH: 15116\nYAT to CRI: 3589\nYAT to YFA: 95\nBOM to YWG: 14048\nBOM to TRZ: 1327\nBOM to BTV: 12973\nBOM to INH: 7675\nBOM to CRI: 14608\nBOM to YFA: 13423\nBTV to YWG: 2343\nBTV to TRZ: 14237\nBTV to INH: 14024\nBTV to CRI: 2615\nBTV to YFA: 1971\nYFA to YWG: 1619\nYFA to TRZ: 14712\nYFA to INH: 15021\nYFA to CRI: 3494\nTRZ to YWG: 15212\nTRZ to INH: 7946\nTRZ to CRI: 15924\nCRI to YWG: 3670\nCRI to INH: 15018\nINH to YWG: 15687\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 45328, "style": "rule" }
{ "exact_answer": 45328, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"AXM\", \"id\": 0}, {\"name\": \"YAT\", \"id\": 1}, {\"name\": \"BOM\", \"id\": 2}, {\"name\": \"BTV\", \"id\": 3}, {\"name\": \"YFA\", \"id\": 4}, {\"name\": \"TRZ\", \"id\": 5}, {\"name\": \"CRI\", \"id\": 6}, {\"name\": \"INH\", \"id\": 7}, {\"name\": \"YWG\", \"id\": 8}], \"links\": [{\"weight\": 5477, \"source\": 0, \"target\": 8}, {\"weight\": 15744, \"source\": 0, \"target\": 2}, {\"weight\": 17071, \"source\": 0, \"target\": 5}, {\"weight\": 4587, \"source\": 0, \"target\": 3}, {\"weight\": 12721, \"source\": 0, \"target\": 7}, {\"weight\": 3144, \"source\": 0, \"target\": 6}, {\"weight\": 5494, \"source\": 0, \"target\": 1}, {\"weight\": 5399, \"source\": 0, \"target\": 4}, {\"weight\": 1714, \"source\": 1, \"target\": 8}, {\"weight\": 13518, \"source\": 1, \"target\": 2}, {\"weight\": 14807, \"source\": 1, \"target\": 5}, {\"weight\": 2066, \"source\": 1, \"target\": 3}, {\"weight\": 15116, \"source\": 1, \"target\": 7}, {\"weight\": 3589, \"source\": 1, \"target\": 6}, {\"weight\": 95, \"source\": 1, \"target\": 4}, {\"weight\": 14048, \"source\": 2, \"target\": 8}, {\"weight\": 1327, \"source\": 2, \"target\": 5}, {\"weight\": 12973, \"source\": 2, \"target\": 3}, {\"weight\": 7675, \"source\": 2, \"target\": 7}, {\"weight\": 14608, \"source\": 2, \"target\": 6}, {\"weight\": 13423, \"source\": 2, \"target\": 4}, {\"weight\": 2343, \"source\": 3, \"target\": 8}, {\"weight\": 14237, \"source\": 3, \"target\": 5}, {\"weight\": 14024, \"source\": 3, \"target\": 7}, {\"weight\": 2615, \"source\": 3, \"target\": 6}, {\"weight\": 1971, \"source\": 3, \"target\": 4}, {\"weight\": 1619, \"source\": 4, \"target\": 8}, {\"weight\": 14712, \"source\": 4, \"target\": 5}, {\"weight\": 15021, \"source\": 4, \"target\": 7}, {\"weight\": 3494, \"source\": 4, \"target\": 6}, {\"weight\": 15212, \"source\": 5, \"target\": 8}, {\"weight\": 7946, \"source\": 5, \"target\": 7}, {\"weight\": 15924, \"source\": 5, \"target\": 6}, {\"weight\": 3670, \"source\": 6, \"target\": 8}, {\"weight\": 15018, \"source\": 6, \"target\": 7}, {\"weight\": 15687, \"source\": 7, \"target\": 8}]}", "id": 614, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: AXM, YAT, BOM, BTV, YFA, TRZ, CRI, INH, YWG\n- Travel distances (in kilometers) between each pair of airports:\nAXM to YWG: 5477\nAXM to BOM: 15744\nAXM to TRZ: 17071\nAXM to BTV: 4587\nAXM to INH: 12721\nAXM to CRI: 3144\nAXM to YAT: 5494\nAXM to YFA: 5399\nYAT to YWG: 1714\nYAT to BOM: 13518\nYAT to TRZ: 14807\nYAT to BTV: 2066\nYAT to INH: 15116\nYAT to CRI: 3589\nYAT to YFA: 95\nBOM to YWG: 14048\nBOM to TRZ: 1327\nBOM to BTV: 12973\nBOM to INH: 7675\nBOM to CRI: 14608\nBOM to YFA: 13423\nBTV to YWG: 2343\nBTV to TRZ: 14237\nBTV to INH: 14024\nBTV to CRI: 2615\nBTV to YFA: 1971\nYFA to YWG: 1619\nYFA to TRZ: 14712\nYFA to INH: 15021\nYFA to CRI: 3494\nTRZ to YWG: 15212\nTRZ to INH: 7946\nTRZ to CRI: 15924\nCRI to YWG: 3670\nCRI to INH: 15018\nINH to YWG: 15687\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BEL, KLW, ALF, HRB, LAD, PMO, IAN, SLC, MHC\n- Travel distances (in kilometers) between each pair of airports:\nBEL to HRB: 16234\nBEL to PMO: 8352\nBEL to IAN: 11795\nBEL to SLC: 7926\nBEL to LAD: 8647\nBEL to ALF: 10515\nBEL to KLW: 10108\nBEL to MHC: 9250\nKLW to HRB: 10461\nKLW to PMO: 10698\nKLW to IAN: 2353\nKLW to SLC: 2287\nKLW to LAD: 15583\nKLW to ALF: 9572\nKLW to MHC: 15750\nALF to HRB: 7890\nALF to PMO: 3676\nALF to IAN: 11689\nALF to SLC: 8904\nALF to LAD: 8928\nALF to MHC: 18430\nHRB to PMO: 8582\nHRB to IAN: 12578\nHRB to SLC: 10364\nHRB to LAD: 12730\nHRB to MHC: 23249\nLAD to PMO: 6458\nLAD to IAN: 17215\nLAD to SLC: 13776\nLAD to MHC: 13310\nPMO to IAN: 12815\nPMO to SLC: 9623\nPMO to MHC: 16284\nIAN to SLC: 4385\nIAN to MHC: 17862\nSLC to MHC: 13605\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 65709, "style": "rule" }
{ "exact_answer": 65709, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"BEL\", \"id\": 0}, {\"name\": \"KLW\", \"id\": 1}, {\"name\": \"ALF\", \"id\": 2}, {\"name\": \"HRB\", \"id\": 3}, {\"name\": \"LAD\", \"id\": 4}, {\"name\": \"PMO\", \"id\": 5}, {\"name\": \"IAN\", \"id\": 6}, {\"name\": \"SLC\", \"id\": 7}, {\"name\": \"MHC\", \"id\": 8}], \"links\": [{\"weight\": 16234, \"source\": 0, \"target\": 3}, {\"weight\": 8352, \"source\": 0, \"target\": 5}, {\"weight\": 11795, \"source\": 0, \"target\": 6}, {\"weight\": 7926, \"source\": 0, \"target\": 7}, {\"weight\": 8647, \"source\": 0, \"target\": 4}, {\"weight\": 10515, \"source\": 0, \"target\": 2}, {\"weight\": 10108, \"source\": 0, \"target\": 1}, {\"weight\": 9250, \"source\": 0, \"target\": 8}, {\"weight\": 10461, \"source\": 1, \"target\": 3}, {\"weight\": 10698, \"source\": 1, \"target\": 5}, {\"weight\": 2353, \"source\": 1, \"target\": 6}, {\"weight\": 2287, \"source\": 1, \"target\": 7}, {\"weight\": 15583, \"source\": 1, \"target\": 4}, {\"weight\": 9572, \"source\": 1, \"target\": 2}, {\"weight\": 15750, \"source\": 1, \"target\": 8}, {\"weight\": 7890, \"source\": 2, \"target\": 3}, {\"weight\": 3676, \"source\": 2, \"target\": 5}, {\"weight\": 11689, \"source\": 2, \"target\": 6}, {\"weight\": 8904, \"source\": 2, \"target\": 7}, {\"weight\": 8928, \"source\": 2, \"target\": 4}, {\"weight\": 18430, \"source\": 2, \"target\": 8}, {\"weight\": 8582, \"source\": 3, \"target\": 5}, {\"weight\": 12578, \"source\": 3, \"target\": 6}, {\"weight\": 10364, \"source\": 3, \"target\": 7}, {\"weight\": 12730, \"source\": 3, \"target\": 4}, {\"weight\": 23249, \"source\": 3, \"target\": 8}, {\"weight\": 6458, \"source\": 4, \"target\": 5}, {\"weight\": 17215, \"source\": 4, \"target\": 6}, {\"weight\": 13776, \"source\": 4, \"target\": 7}, {\"weight\": 13310, \"source\": 4, \"target\": 8}, {\"weight\": 12815, \"source\": 5, \"target\": 6}, {\"weight\": 9623, \"source\": 5, \"target\": 7}, {\"weight\": 16284, \"source\": 5, \"target\": 8}, {\"weight\": 4385, \"source\": 6, \"target\": 7}, {\"weight\": 17862, \"source\": 6, \"target\": 8}, {\"weight\": 13605, \"source\": 7, \"target\": 8}]}", "id": 615, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BEL, KLW, ALF, HRB, LAD, PMO, IAN, SLC, MHC\n- Travel distances (in kilometers) between each pair of airports:\nBEL to HRB: 16234\nBEL to PMO: 8352\nBEL to IAN: 11795\nBEL to SLC: 7926\nBEL to LAD: 8647\nBEL to ALF: 10515\nBEL to KLW: 10108\nBEL to MHC: 9250\nKLW to HRB: 10461\nKLW to PMO: 10698\nKLW to IAN: 2353\nKLW to SLC: 2287\nKLW to LAD: 15583\nKLW to ALF: 9572\nKLW to MHC: 15750\nALF to HRB: 7890\nALF to PMO: 3676\nALF to IAN: 11689\nALF to SLC: 8904\nALF to LAD: 8928\nALF to MHC: 18430\nHRB to PMO: 8582\nHRB to IAN: 12578\nHRB to SLC: 10364\nHRB to LAD: 12730\nHRB to MHC: 23249\nLAD to PMO: 6458\nLAD to IAN: 17215\nLAD to SLC: 13776\nLAD to MHC: 13310\nPMO to IAN: 12815\nPMO to SLC: 9623\nPMO to MHC: 16284\nIAN to SLC: 4385\nIAN to MHC: 17862\nSLC to MHC: 13605\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BZN, CUM, HOV, WVB, GRP, HUN, TNN, YNP, YJT\n- Travel distances (in kilometers) between each pair of airports:\nBZN to HUN: 10794\nBZN to TNN: 11962\nBZN to YNP: 4648\nBZN to YJT: 4405\nBZN to GRP: 9881\nBZN to WVB: 15233\nBZN to CUM: 6097\nBZN to HOV: 8272\nCUM to HUN: 16383\nCUM to TNN: 17337\nCUM to YNP: 5460\nCUM to YJT: 4950\nCUM to GRP: 4687\nCUM to WVB: 13114\nCUM to HOV: 8963\nHOV to HUN: 9238\nHOV to TNN: 9568\nHOV to YNP: 6128\nHOV to YJT: 5412\nHOV to GRP: 10588\nHOV to WVB: 9779\nWVB to HUN: 12911\nWVB to TNN: 12741\nWVB to YNP: 13584\nWVB to YJT: 12868\nWVB to GRP: 9471\nGRP to HUN: 19173\nGRP to TNN: 19341\nGRP to YNP: 9521\nGRP to YJT: 9011\nHUN to TNN: 1470\nHUN to YNP: 14434\nHUN to YJT: 14120\nTNN to YNP: 15152\nTNN to YJT: 14436\nYNP to YJT: 940\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 54704, "style": "rule" }
{ "exact_answer": 54704, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"BZN\", \"id\": 0}, {\"name\": \"CUM\", \"id\": 1}, {\"name\": \"HOV\", \"id\": 2}, {\"name\": \"WVB\", \"id\": 3}, {\"name\": \"GRP\", \"id\": 4}, {\"name\": \"HUN\", \"id\": 5}, {\"name\": \"TNN\", \"id\": 6}, {\"name\": \"YNP\", \"id\": 7}, {\"name\": \"YJT\", \"id\": 8}], \"links\": [{\"weight\": 10794, \"source\": 0, \"target\": 5}, {\"weight\": 11962, \"source\": 0, \"target\": 6}, {\"weight\": 4648, \"source\": 0, \"target\": 7}, {\"weight\": 4405, \"source\": 0, \"target\": 8}, {\"weight\": 9881, \"source\": 0, \"target\": 4}, {\"weight\": 15233, \"source\": 0, \"target\": 3}, {\"weight\": 6097, \"source\": 0, \"target\": 1}, {\"weight\": 8272, \"source\": 0, \"target\": 2}, {\"weight\": 16383, \"source\": 1, \"target\": 5}, {\"weight\": 17337, \"source\": 1, \"target\": 6}, {\"weight\": 5460, \"source\": 1, \"target\": 7}, {\"weight\": 4950, \"source\": 1, \"target\": 8}, {\"weight\": 4687, \"source\": 1, \"target\": 4}, {\"weight\": 13114, \"source\": 1, \"target\": 3}, {\"weight\": 8963, \"source\": 1, \"target\": 2}, {\"weight\": 9238, \"source\": 2, \"target\": 5}, {\"weight\": 9568, \"source\": 2, \"target\": 6}, {\"weight\": 6128, \"source\": 2, \"target\": 7}, {\"weight\": 5412, \"source\": 2, \"target\": 8}, {\"weight\": 10588, \"source\": 2, \"target\": 4}, {\"weight\": 9779, \"source\": 2, \"target\": 3}, {\"weight\": 12911, \"source\": 3, \"target\": 5}, {\"weight\": 12741, \"source\": 3, \"target\": 6}, {\"weight\": 13584, \"source\": 3, \"target\": 7}, {\"weight\": 12868, \"source\": 3, \"target\": 8}, {\"weight\": 9471, \"source\": 3, \"target\": 4}, {\"weight\": 19173, \"source\": 4, \"target\": 5}, {\"weight\": 19341, \"source\": 4, \"target\": 6}, {\"weight\": 9521, \"source\": 4, \"target\": 7}, {\"weight\": 9011, \"source\": 4, \"target\": 8}, {\"weight\": 1470, \"source\": 5, \"target\": 6}, {\"weight\": 14434, \"source\": 5, \"target\": 7}, {\"weight\": 14120, \"source\": 5, \"target\": 8}, {\"weight\": 15152, \"source\": 6, \"target\": 7}, {\"weight\": 14436, \"source\": 6, \"target\": 8}, {\"weight\": 940, \"source\": 7, \"target\": 8}]}", "id": 616, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BZN, CUM, HOV, WVB, GRP, HUN, TNN, YNP, YJT\n- Travel distances (in kilometers) between each pair of airports:\nBZN to HUN: 10794\nBZN to TNN: 11962\nBZN to YNP: 4648\nBZN to YJT: 4405\nBZN to GRP: 9881\nBZN to WVB: 15233\nBZN to CUM: 6097\nBZN to HOV: 8272\nCUM to HUN: 16383\nCUM to TNN: 17337\nCUM to YNP: 5460\nCUM to YJT: 4950\nCUM to GRP: 4687\nCUM to WVB: 13114\nCUM to HOV: 8963\nHOV to HUN: 9238\nHOV to TNN: 9568\nHOV to YNP: 6128\nHOV to YJT: 5412\nHOV to GRP: 10588\nHOV to WVB: 9779\nWVB to HUN: 12911\nWVB to TNN: 12741\nWVB to YNP: 13584\nWVB to YJT: 12868\nWVB to GRP: 9471\nGRP to HUN: 19173\nGRP to TNN: 19341\nGRP to YNP: 9521\nGRP to YJT: 9011\nHUN to TNN: 1470\nHUN to YNP: 14434\nHUN to YJT: 14120\nTNN to YNP: 15152\nTNN to YJT: 14436\nYNP to YJT: 940\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CBS, ZFN, NNB, BHH, ERL, ILY, YUY, BXB, PUY\n- Travel distances (in kilometers) between each pair of airports:\nCBS to YUY: 4896\nCBS to PUY: 9199\nCBS to ILY: 8442\nCBS to ERL: 15409\nCBS to ZFN: 8161\nCBS to NNB: 17618\nCBS to BXB: 21550\nCBS to BHH: 12240\nZFN to YUY: 4382\nZFN to PUY: 9679\nZFN to ILY: 8042\nZFN to ERL: 11511\nZFN to NNB: 14328\nZFN to BXB: 16923\nZFN to BHH: 13482\nNNB to YUY: 15756\nNNB to PUY: 15940\nNNB to ILY: 16790\nNNB to ERL: 9019\nNNB to BXB: 7544\nNNB to BHH: 14016\nBHH to YUY: 10843\nBHH to PUY: 4019\nBHH to ILY: 5736\nBHH to ERL: 7306\nBHH to BXB: 10747\nERL to YUY: 12111\nERL to PUY: 8120\nERL to ILY: 8935\nERL to BXB: 7149\nILY to YUY: 6113\nILY to PUY: 1895\nILY to BXB: 14652\nYUY to PUY: 7044\nYUY to BXB: 18208\nBXB to PUY: 13394\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 59961, "style": "rule" }
{ "exact_answer": 59961, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"CBS\", \"id\": 0}, {\"name\": \"ZFN\", \"id\": 1}, {\"name\": \"NNB\", \"id\": 2}, {\"name\": \"BHH\", \"id\": 3}, {\"name\": \"ERL\", \"id\": 4}, {\"name\": \"ILY\", \"id\": 5}, {\"name\": \"YUY\", \"id\": 6}, {\"name\": \"BXB\", \"id\": 7}, {\"name\": \"PUY\", \"id\": 8}], \"links\": [{\"weight\": 4896, \"source\": 0, \"target\": 6}, {\"weight\": 9199, \"source\": 0, \"target\": 8}, {\"weight\": 8442, \"source\": 0, \"target\": 5}, {\"weight\": 15409, \"source\": 0, \"target\": 4}, {\"weight\": 8161, \"source\": 0, \"target\": 1}, {\"weight\": 17618, \"source\": 0, \"target\": 2}, {\"weight\": 21550, \"source\": 0, \"target\": 7}, {\"weight\": 12240, \"source\": 0, \"target\": 3}, {\"weight\": 4382, \"source\": 1, \"target\": 6}, {\"weight\": 9679, \"source\": 1, \"target\": 8}, {\"weight\": 8042, \"source\": 1, \"target\": 5}, {\"weight\": 11511, \"source\": 1, \"target\": 4}, {\"weight\": 14328, \"source\": 1, \"target\": 2}, {\"weight\": 16923, \"source\": 1, \"target\": 7}, {\"weight\": 13482, \"source\": 1, \"target\": 3}, {\"weight\": 15756, \"source\": 2, \"target\": 6}, {\"weight\": 15940, \"source\": 2, \"target\": 8}, {\"weight\": 16790, \"source\": 2, \"target\": 5}, {\"weight\": 9019, \"source\": 2, \"target\": 4}, {\"weight\": 7544, \"source\": 2, \"target\": 7}, {\"weight\": 14016, \"source\": 2, \"target\": 3}, {\"weight\": 10843, \"source\": 3, \"target\": 6}, {\"weight\": 4019, \"source\": 3, \"target\": 8}, {\"weight\": 5736, \"source\": 3, \"target\": 5}, {\"weight\": 7306, \"source\": 3, \"target\": 4}, {\"weight\": 10747, \"source\": 3, \"target\": 7}, {\"weight\": 12111, \"source\": 4, \"target\": 6}, {\"weight\": 8120, \"source\": 4, \"target\": 8}, {\"weight\": 8935, \"source\": 4, \"target\": 5}, {\"weight\": 7149, \"source\": 4, \"target\": 7}, {\"weight\": 6113, \"source\": 5, \"target\": 6}, {\"weight\": 1895, \"source\": 5, \"target\": 8}, {\"weight\": 14652, \"source\": 5, \"target\": 7}, {\"weight\": 7044, \"source\": 6, \"target\": 8}, {\"weight\": 18208, \"source\": 6, \"target\": 7}, {\"weight\": 13394, \"source\": 7, \"target\": 8}]}", "id": 617, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CBS, ZFN, NNB, BHH, ERL, ILY, YUY, BXB, PUY\n- Travel distances (in kilometers) between each pair of airports:\nCBS to YUY: 4896\nCBS to PUY: 9199\nCBS to ILY: 8442\nCBS to ERL: 15409\nCBS to ZFN: 8161\nCBS to NNB: 17618\nCBS to BXB: 21550\nCBS to BHH: 12240\nZFN to YUY: 4382\nZFN to PUY: 9679\nZFN to ILY: 8042\nZFN to ERL: 11511\nZFN to NNB: 14328\nZFN to BXB: 16923\nZFN to BHH: 13482\nNNB to YUY: 15756\nNNB to PUY: 15940\nNNB to ILY: 16790\nNNB to ERL: 9019\nNNB to BXB: 7544\nNNB to BHH: 14016\nBHH to YUY: 10843\nBHH to PUY: 4019\nBHH to ILY: 5736\nBHH to ERL: 7306\nBHH to BXB: 10747\nERL to YUY: 12111\nERL to PUY: 8120\nERL to ILY: 8935\nERL to BXB: 7149\nILY to YUY: 6113\nILY to PUY: 1895\nILY to BXB: 14652\nYUY to PUY: 7044\nYUY to BXB: 18208\nBXB to PUY: 13394\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PLJ, HTN, AYT, RSA, LAQ, CEE, PSR, OZZ, BFV\n- Travel distances (in kilometers) between each pair of airports:\nPLJ to AYT: 11355\nPLJ to RSA: 7389\nPLJ to OZZ: 8917\nPLJ to PSR: 9876\nPLJ to HTN: 15239\nPLJ to CEE: 10379\nPLJ to BFV: 16856\nPLJ to LAQ: 10875\nHTN to AYT: 5928\nHTN to RSA: 18540\nHTN to OZZ: 9244\nHTN to PSR: 7472\nHTN to CEE: 5348\nHTN to BFV: 5272\nHTN to LAQ: 8213\nAYT to RSA: 13316\nAYT to OZZ: 3846\nAYT to PSR: 2602\nAYT to CEE: 2546\nAYT to BFV: 7625\nAYT to LAQ: 2707\nRSA to OZZ: 10086\nRSA to PSR: 12064\nRSA to CEE: 14194\nRSA to BFV: 19593\nRSA to LAQ: 12563\nLAQ to OZZ: 3031\nLAQ to PSR: 2376\nLAQ to CEE: 4434\nLAQ to BFV: 10156\nCEE to OZZ: 4684\nCEE to PSR: 3024\nCEE to BFV: 7977\nPSR to OZZ: 2532\nPSR to BFV: 9861\nOZZ to BFV: 11385\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 53714, "style": "rule" }
{ "exact_answer": 53714, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"PLJ\", \"id\": 0}, {\"name\": \"HTN\", \"id\": 1}, {\"name\": \"AYT\", \"id\": 2}, {\"name\": \"RSA\", \"id\": 3}, {\"name\": \"LAQ\", \"id\": 4}, {\"name\": \"CEE\", \"id\": 5}, {\"name\": \"PSR\", \"id\": 6}, {\"name\": \"OZZ\", \"id\": 7}, {\"name\": \"BFV\", \"id\": 8}], \"links\": [{\"weight\": 11355, \"source\": 0, \"target\": 2}, {\"weight\": 7389, \"source\": 0, \"target\": 3}, {\"weight\": 8917, \"source\": 0, \"target\": 7}, {\"weight\": 9876, \"source\": 0, \"target\": 6}, {\"weight\": 15239, \"source\": 0, \"target\": 1}, {\"weight\": 10379, \"source\": 0, \"target\": 5}, {\"weight\": 16856, \"source\": 0, \"target\": 8}, {\"weight\": 10875, \"source\": 0, \"target\": 4}, {\"weight\": 5928, \"source\": 1, \"target\": 2}, {\"weight\": 18540, \"source\": 1, \"target\": 3}, {\"weight\": 9244, \"source\": 1, \"target\": 7}, {\"weight\": 7472, \"source\": 1, \"target\": 6}, {\"weight\": 5348, \"source\": 1, \"target\": 5}, {\"weight\": 5272, \"source\": 1, \"target\": 8}, {\"weight\": 8213, \"source\": 1, \"target\": 4}, {\"weight\": 13316, \"source\": 2, \"target\": 3}, {\"weight\": 3846, \"source\": 2, \"target\": 7}, {\"weight\": 2602, \"source\": 2, \"target\": 6}, {\"weight\": 2546, \"source\": 2, \"target\": 5}, {\"weight\": 7625, \"source\": 2, \"target\": 8}, {\"weight\": 2707, \"source\": 2, \"target\": 4}, {\"weight\": 10086, \"source\": 3, \"target\": 7}, {\"weight\": 12064, \"source\": 3, \"target\": 6}, {\"weight\": 14194, \"source\": 3, \"target\": 5}, {\"weight\": 19593, \"source\": 3, \"target\": 8}, {\"weight\": 12563, \"source\": 3, \"target\": 4}, {\"weight\": 3031, \"source\": 4, \"target\": 7}, {\"weight\": 2376, \"source\": 4, \"target\": 6}, {\"weight\": 4434, \"source\": 4, \"target\": 5}, {\"weight\": 10156, \"source\": 4, \"target\": 8}, {\"weight\": 4684, \"source\": 5, \"target\": 7}, {\"weight\": 3024, \"source\": 5, \"target\": 6}, {\"weight\": 7977, \"source\": 5, \"target\": 8}, {\"weight\": 2532, \"source\": 6, \"target\": 7}, {\"weight\": 9861, \"source\": 6, \"target\": 8}, {\"weight\": 11385, \"source\": 7, \"target\": 8}]}", "id": 618, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PLJ, HTN, AYT, RSA, LAQ, CEE, PSR, OZZ, BFV\n- Travel distances (in kilometers) between each pair of airports:\nPLJ to AYT: 11355\nPLJ to RSA: 7389\nPLJ to OZZ: 8917\nPLJ to PSR: 9876\nPLJ to HTN: 15239\nPLJ to CEE: 10379\nPLJ to BFV: 16856\nPLJ to LAQ: 10875\nHTN to AYT: 5928\nHTN to RSA: 18540\nHTN to OZZ: 9244\nHTN to PSR: 7472\nHTN to CEE: 5348\nHTN to BFV: 5272\nHTN to LAQ: 8213\nAYT to RSA: 13316\nAYT to OZZ: 3846\nAYT to PSR: 2602\nAYT to CEE: 2546\nAYT to BFV: 7625\nAYT to LAQ: 2707\nRSA to OZZ: 10086\nRSA to PSR: 12064\nRSA to CEE: 14194\nRSA to BFV: 19593\nRSA to LAQ: 12563\nLAQ to OZZ: 3031\nLAQ to PSR: 2376\nLAQ to CEE: 4434\nLAQ to BFV: 10156\nCEE to OZZ: 4684\nCEE to PSR: 3024\nCEE to BFV: 7977\nPSR to OZZ: 2532\nPSR to BFV: 9861\nOZZ to BFV: 11385\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: EMK, PYY, OHE, RZE, TRZ, AOR, IEV, BHX, BJX\n- Travel distances (in kilometers) between each pair of airports:\nEMK to BHX: 10737\nEMK to TRZ: 17108\nEMK to IEV: 12386\nEMK to BJX: 6805\nEMK to AOR: 16553\nEMK to OHE: 13229\nEMK to RZE: 12016\nEMK to PYY: 14833\nPYY to BHX: 9587\nPYY to TRZ: 3154\nPYY to IEV: 7538\nPYY to BJX: 15217\nPYY to AOR: 2213\nPYY to OHE: 4660\nPYY to RZE: 8366\nOHE to BHX: 8440\nOHE to TRZ: 6934\nOHE to IEV: 6731\nOHE to BJX: 13499\nOHE to AOR: 6568\nOHE to RZE: 7372\nRZE to BHX: 1724\nRZE to TRZ: 7386\nRZE to IEV: 1222\nRZE to BJX: 10407\nRZE to AOR: 9838\nTRZ to BHX: 8628\nTRZ to IEV: 6651\nTRZ to BJX: 16738\nTRZ to AOR: 3096\nAOR to BHX: 11041\nAOR to IEV: 9034\nAOR to BJX: 16771\nIEV to BHX: 2258\nIEV to BJX: 10816\nBHX to BJX: 8814\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 48414, "style": "rule" }
{ "exact_answer": 48414, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"EMK\", \"id\": 0}, {\"name\": \"PYY\", \"id\": 1}, {\"name\": \"OHE\", \"id\": 2}, {\"name\": \"RZE\", \"id\": 3}, {\"name\": \"TRZ\", \"id\": 4}, {\"name\": \"AOR\", \"id\": 5}, {\"name\": \"IEV\", \"id\": 6}, {\"name\": \"BHX\", \"id\": 7}, {\"name\": \"BJX\", \"id\": 8}], \"links\": [{\"weight\": 10737, \"source\": 0, \"target\": 7}, {\"weight\": 17108, \"source\": 0, \"target\": 4}, {\"weight\": 12386, \"source\": 0, \"target\": 6}, {\"weight\": 6805, \"source\": 0, \"target\": 8}, {\"weight\": 16553, \"source\": 0, \"target\": 5}, {\"weight\": 13229, \"source\": 0, \"target\": 2}, {\"weight\": 12016, \"source\": 0, \"target\": 3}, {\"weight\": 14833, \"source\": 0, \"target\": 1}, {\"weight\": 9587, \"source\": 1, \"target\": 7}, {\"weight\": 3154, \"source\": 1, \"target\": 4}, {\"weight\": 7538, \"source\": 1, \"target\": 6}, {\"weight\": 15217, \"source\": 1, \"target\": 8}, {\"weight\": 2213, \"source\": 1, \"target\": 5}, {\"weight\": 4660, \"source\": 1, \"target\": 2}, {\"weight\": 8366, \"source\": 1, \"target\": 3}, {\"weight\": 8440, \"source\": 2, \"target\": 7}, {\"weight\": 6934, \"source\": 2, \"target\": 4}, {\"weight\": 6731, \"source\": 2, \"target\": 6}, {\"weight\": 13499, \"source\": 2, \"target\": 8}, {\"weight\": 6568, \"source\": 2, \"target\": 5}, {\"weight\": 7372, \"source\": 2, \"target\": 3}, {\"weight\": 1724, \"source\": 3, \"target\": 7}, {\"weight\": 7386, \"source\": 3, \"target\": 4}, {\"weight\": 1222, \"source\": 3, \"target\": 6}, {\"weight\": 10407, \"source\": 3, \"target\": 8}, {\"weight\": 9838, \"source\": 3, \"target\": 5}, {\"weight\": 8628, \"source\": 4, \"target\": 7}, {\"weight\": 6651, \"source\": 4, \"target\": 6}, {\"weight\": 16738, \"source\": 4, \"target\": 8}, {\"weight\": 3096, \"source\": 4, \"target\": 5}, {\"weight\": 11041, \"source\": 5, \"target\": 7}, {\"weight\": 9034, \"source\": 5, \"target\": 6}, {\"weight\": 16771, \"source\": 5, \"target\": 8}, {\"weight\": 2258, \"source\": 6, \"target\": 7}, {\"weight\": 10816, \"source\": 6, \"target\": 8}, {\"weight\": 8814, \"source\": 7, \"target\": 8}]}", "id": 619, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: EMK, PYY, OHE, RZE, TRZ, AOR, IEV, BHX, BJX\n- Travel distances (in kilometers) between each pair of airports:\nEMK to BHX: 10737\nEMK to TRZ: 17108\nEMK to IEV: 12386\nEMK to BJX: 6805\nEMK to AOR: 16553\nEMK to OHE: 13229\nEMK to RZE: 12016\nEMK to PYY: 14833\nPYY to BHX: 9587\nPYY to TRZ: 3154\nPYY to IEV: 7538\nPYY to BJX: 15217\nPYY to AOR: 2213\nPYY to OHE: 4660\nPYY to RZE: 8366\nOHE to BHX: 8440\nOHE to TRZ: 6934\nOHE to IEV: 6731\nOHE to BJX: 13499\nOHE to AOR: 6568\nOHE to RZE: 7372\nRZE to BHX: 1724\nRZE to TRZ: 7386\nRZE to IEV: 1222\nRZE to BJX: 10407\nRZE to AOR: 9838\nTRZ to BHX: 8628\nTRZ to IEV: 6651\nTRZ to BJX: 16738\nTRZ to AOR: 3096\nAOR to BHX: 11041\nAOR to IEV: 9034\nAOR to BJX: 16771\nIEV to BHX: 2258\nIEV to BJX: 10816\nBHX to BJX: 8814\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PKU, CCC, MYD, GRI, VDB, UBA, JDO, VHC, AGT\n- Travel distances (in kilometers) between each pair of airports:\nPKU to UBA: 16642\nPKU to MYD: 8236\nPKU to GRI: 16095\nPKU to CCC: 17592\nPKU to JDO: 17116\nPKU to VHC: 11373\nPKU to AGT: 17082\nPKU to VDB: 10164\nCCC to UBA: 6790\nCCC to MYD: 14549\nCCC to GRI: 3488\nCCC to JDO: 6559\nCCC to VHC: 12180\nCCC to AGT: 6761\nCCC to VDB: 8351\nMYD to UBA: 10132\nMYD to GRI: 15715\nMYD to JDO: 10351\nMYD to VHC: 3959\nMYD to AGT: 10573\nMYD to VDB: 7772\nGRI to UBA: 8950\nGRI to JDO: 8795\nGRI to VHC: 14605\nGRI to AGT: 8873\nGRI to VDB: 8915\nVDB to UBA: 10631\nVDB to JDO: 8903\nVDB to VHC: 8632\nVDB to AGT: 11674\nUBA to JDO: 1782\nUBA to VHC: 7763\nUBA to AGT: 1312\nJDO to VHC: 8793\nJDO to AGT: 2836\nVHC to AGT: 8204\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 52619, "style": "rule" }
{ "exact_answer": 52619, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"PKU\", \"id\": 0}, {\"name\": \"CCC\", \"id\": 1}, {\"name\": \"MYD\", \"id\": 2}, {\"name\": \"GRI\", \"id\": 3}, {\"name\": \"VDB\", \"id\": 4}, {\"name\": \"UBA\", \"id\": 5}, {\"name\": \"JDO\", \"id\": 6}, {\"name\": \"VHC\", \"id\": 7}, {\"name\": \"AGT\", \"id\": 8}], \"links\": [{\"weight\": 16642, \"source\": 0, \"target\": 5}, {\"weight\": 8236, \"source\": 0, \"target\": 2}, {\"weight\": 16095, \"source\": 0, \"target\": 3}, {\"weight\": 17592, \"source\": 0, \"target\": 1}, {\"weight\": 17116, \"source\": 0, \"target\": 6}, {\"weight\": 11373, \"source\": 0, \"target\": 7}, {\"weight\": 17082, \"source\": 0, \"target\": 8}, {\"weight\": 10164, \"source\": 0, \"target\": 4}, {\"weight\": 6790, \"source\": 1, \"target\": 5}, {\"weight\": 14549, \"source\": 1, \"target\": 2}, {\"weight\": 3488, \"source\": 1, \"target\": 3}, {\"weight\": 6559, \"source\": 1, \"target\": 6}, {\"weight\": 12180, \"source\": 1, \"target\": 7}, {\"weight\": 6761, \"source\": 1, \"target\": 8}, {\"weight\": 8351, \"source\": 1, \"target\": 4}, {\"weight\": 10132, \"source\": 2, \"target\": 5}, {\"weight\": 15715, \"source\": 2, \"target\": 3}, {\"weight\": 10351, \"source\": 2, \"target\": 6}, {\"weight\": 3959, \"source\": 2, \"target\": 7}, {\"weight\": 10573, \"source\": 2, \"target\": 8}, {\"weight\": 7772, \"source\": 2, \"target\": 4}, {\"weight\": 8950, \"source\": 3, \"target\": 5}, {\"weight\": 8795, \"source\": 3, \"target\": 6}, {\"weight\": 14605, \"source\": 3, \"target\": 7}, {\"weight\": 8873, \"source\": 3, \"target\": 8}, {\"weight\": 8915, \"source\": 3, \"target\": 4}, {\"weight\": 10631, \"source\": 4, \"target\": 5}, {\"weight\": 8903, \"source\": 4, \"target\": 6}, {\"weight\": 8632, \"source\": 4, \"target\": 7}, {\"weight\": 11674, \"source\": 4, \"target\": 8}, {\"weight\": 1782, \"source\": 5, \"target\": 6}, {\"weight\": 7763, \"source\": 5, \"target\": 7}, {\"weight\": 1312, \"source\": 5, \"target\": 8}, {\"weight\": 8793, \"source\": 6, \"target\": 7}, {\"weight\": 2836, \"source\": 6, \"target\": 8}, {\"weight\": 8204, \"source\": 7, \"target\": 8}]}", "id": 620, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PKU, CCC, MYD, GRI, VDB, UBA, JDO, VHC, AGT\n- Travel distances (in kilometers) between each pair of airports:\nPKU to UBA: 16642\nPKU to MYD: 8236\nPKU to GRI: 16095\nPKU to CCC: 17592\nPKU to JDO: 17116\nPKU to VHC: 11373\nPKU to AGT: 17082\nPKU to VDB: 10164\nCCC to UBA: 6790\nCCC to MYD: 14549\nCCC to GRI: 3488\nCCC to JDO: 6559\nCCC to VHC: 12180\nCCC to AGT: 6761\nCCC to VDB: 8351\nMYD to UBA: 10132\nMYD to GRI: 15715\nMYD to JDO: 10351\nMYD to VHC: 3959\nMYD to AGT: 10573\nMYD to VDB: 7772\nGRI to UBA: 8950\nGRI to JDO: 8795\nGRI to VHC: 14605\nGRI to AGT: 8873\nGRI to VDB: 8915\nVDB to UBA: 10631\nVDB to JDO: 8903\nVDB to VHC: 8632\nVDB to AGT: 11674\nUBA to JDO: 1782\nUBA to VHC: 7763\nUBA to AGT: 1312\nJDO to VHC: 8793\nJDO to AGT: 2836\nVHC to AGT: 8204\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: XIC, UFA, AOO, LUQ, RZR, ETR, ZBF, ROV, VVC\n- Travel distances (in kilometers) between each pair of airports:\nXIC to UFA: 5442\nXIC to ROV: 6344\nXIC to VVC: 16898\nXIC to ZBF: 13615\nXIC to LUQ: 19677\nXIC to RZR: 5578\nXIC to ETR: 17665\nXIC to AOO: 13171\nUFA to ROV: 1887\nUFA to VVC: 12084\nUFA to ZBF: 9123\nUFA to LUQ: 15377\nUFA to RZR: 2717\nUFA to ETR: 13154\nUFA to AOO: 9041\nAOO to ROV: 8802\nAOO to VVC: 4072\nAOO to ZBF: 1610\nAOO to LUQ: 9616\nAOO to RZR: 10771\nAOO to ETR: 4953\nLUQ to ROV: 14099\nLUQ to VVC: 5885\nLUQ to ZBF: 10883\nLUQ to RZR: 15048\nLUQ to ETR: 5673\nRZR to ROV: 3038\nRZR to VVC: 13021\nRZR to ZBF: 10144\nRZR to ETR: 14087\nETR to ROV: 12538\nETR to VVC: 1236\nETR to ZBF: 6198\nZBF to ROV: 8361\nZBF to VVC: 5272\nROV to VVC: 11468\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 48907, "style": "rule" }
{ "exact_answer": 48907, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"XIC\", \"id\": 0}, {\"name\": \"UFA\", \"id\": 1}, {\"name\": \"AOO\", \"id\": 2}, {\"name\": \"LUQ\", \"id\": 3}, {\"name\": \"RZR\", \"id\": 4}, {\"name\": \"ETR\", \"id\": 5}, {\"name\": \"ZBF\", \"id\": 6}, {\"name\": \"ROV\", \"id\": 7}, {\"name\": \"VVC\", \"id\": 8}], \"links\": [{\"weight\": 5442, \"source\": 0, \"target\": 1}, {\"weight\": 6344, \"source\": 0, \"target\": 7}, {\"weight\": 16898, \"source\": 0, \"target\": 8}, {\"weight\": 13615, \"source\": 0, \"target\": 6}, {\"weight\": 19677, \"source\": 0, \"target\": 3}, {\"weight\": 5578, \"source\": 0, \"target\": 4}, {\"weight\": 17665, \"source\": 0, \"target\": 5}, {\"weight\": 13171, \"source\": 0, \"target\": 2}, {\"weight\": 1887, \"source\": 1, \"target\": 7}, {\"weight\": 12084, \"source\": 1, \"target\": 8}, {\"weight\": 9123, \"source\": 1, \"target\": 6}, {\"weight\": 15377, \"source\": 1, \"target\": 3}, {\"weight\": 2717, \"source\": 1, \"target\": 4}, {\"weight\": 13154, \"source\": 1, \"target\": 5}, {\"weight\": 9041, \"source\": 1, \"target\": 2}, {\"weight\": 8802, \"source\": 2, \"target\": 7}, {\"weight\": 4072, \"source\": 2, \"target\": 8}, {\"weight\": 1610, \"source\": 2, \"target\": 6}, {\"weight\": 9616, \"source\": 2, \"target\": 3}, {\"weight\": 10771, \"source\": 2, \"target\": 4}, {\"weight\": 4953, \"source\": 2, \"target\": 5}, {\"weight\": 14099, \"source\": 3, \"target\": 7}, {\"weight\": 5885, \"source\": 3, \"target\": 8}, {\"weight\": 10883, \"source\": 3, \"target\": 6}, {\"weight\": 15048, \"source\": 3, \"target\": 4}, {\"weight\": 5673, \"source\": 3, \"target\": 5}, {\"weight\": 3038, \"source\": 4, \"target\": 7}, {\"weight\": 13021, \"source\": 4, \"target\": 8}, {\"weight\": 10144, \"source\": 4, \"target\": 6}, {\"weight\": 14087, \"source\": 4, \"target\": 5}, {\"weight\": 12538, \"source\": 5, \"target\": 7}, {\"weight\": 1236, \"source\": 5, \"target\": 8}, {\"weight\": 6198, \"source\": 5, \"target\": 6}, {\"weight\": 8361, \"source\": 6, \"target\": 7}, {\"weight\": 5272, \"source\": 6, \"target\": 8}, {\"weight\": 11468, \"source\": 7, \"target\": 8}]}", "id": 621, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: XIC, UFA, AOO, LUQ, RZR, ETR, ZBF, ROV, VVC\n- Travel distances (in kilometers) between each pair of airports:\nXIC to UFA: 5442\nXIC to ROV: 6344\nXIC to VVC: 16898\nXIC to ZBF: 13615\nXIC to LUQ: 19677\nXIC to RZR: 5578\nXIC to ETR: 17665\nXIC to AOO: 13171\nUFA to ROV: 1887\nUFA to VVC: 12084\nUFA to ZBF: 9123\nUFA to LUQ: 15377\nUFA to RZR: 2717\nUFA to ETR: 13154\nUFA to AOO: 9041\nAOO to ROV: 8802\nAOO to VVC: 4072\nAOO to ZBF: 1610\nAOO to LUQ: 9616\nAOO to RZR: 10771\nAOO to ETR: 4953\nLUQ to ROV: 14099\nLUQ to VVC: 5885\nLUQ to ZBF: 10883\nLUQ to RZR: 15048\nLUQ to ETR: 5673\nRZR to ROV: 3038\nRZR to VVC: 13021\nRZR to ZBF: 10144\nRZR to ETR: 14087\nETR to ROV: 12538\nETR to VVC: 1236\nETR to ZBF: 6198\nZBF to ROV: 8361\nZBF to VVC: 5272\nROV to VVC: 11468\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CAJ, FDH, FMM, YXL, KRR, BHX, SKX, SJE, CRK\n- Travel distances (in kilometers) between each pair of airports:\nCAJ to FDH: 8694\nCAJ to FMM: 9026\nCAJ to BHX: 8192\nCAJ to CRK: 17794\nCAJ to KRR: 10770\nCAJ to SKX: 10815\nCAJ to SJE: 2068\nCAJ to YXL: 5818\nFDH to FMM: 1158\nFDH to BHX: 1031\nFDH to CRK: 10400\nFDH to KRR: 2618\nFDH to SKX: 2721\nFDH to SJE: 9645\nFDH to YXL: 7784\nFMM to BHX: 1421\nFMM to CRK: 10346\nFMM to KRR: 2593\nFMM to SKX: 2667\nFMM to SJE: 9582\nFMM to YXL: 7745\nYXL to BHX: 6761\nYXL to CRK: 12995\nYXL to KRR: 9643\nYXL to SKX: 9187\nYXL to SJE: 5835\nKRR to BHX: 3082\nKRR to CRK: 8186\nKRR to SKX: 1641\nKRR to SJE: 11720\nBHX to CRK: 10709\nBHX to SKX: 3075\nBHX to SJE: 9171\nSKX to CRK: 8649\nSKX to SJE: 11733\nSJE to CRK: 17707\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 43773, "style": "rule" }
{ "exact_answer": 43773, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"CAJ\", \"id\": 0}, {\"name\": \"FDH\", \"id\": 1}, {\"name\": \"FMM\", \"id\": 2}, {\"name\": \"YXL\", \"id\": 3}, {\"name\": \"KRR\", \"id\": 4}, {\"name\": \"BHX\", \"id\": 5}, {\"name\": \"SKX\", \"id\": 6}, {\"name\": \"SJE\", \"id\": 7}, {\"name\": \"CRK\", \"id\": 8}], \"links\": [{\"weight\": 8694, \"source\": 0, \"target\": 1}, {\"weight\": 9026, \"source\": 0, \"target\": 2}, {\"weight\": 8192, \"source\": 0, \"target\": 5}, {\"weight\": 17794, \"source\": 0, \"target\": 8}, {\"weight\": 10770, \"source\": 0, \"target\": 4}, {\"weight\": 10815, \"source\": 0, \"target\": 6}, {\"weight\": 2068, \"source\": 0, \"target\": 7}, {\"weight\": 5818, \"source\": 0, \"target\": 3}, {\"weight\": 1158, \"source\": 1, \"target\": 2}, {\"weight\": 1031, \"source\": 1, \"target\": 5}, {\"weight\": 10400, \"source\": 1, \"target\": 8}, {\"weight\": 2618, \"source\": 1, \"target\": 4}, {\"weight\": 2721, \"source\": 1, \"target\": 6}, {\"weight\": 9645, \"source\": 1, \"target\": 7}, {\"weight\": 7784, \"source\": 1, \"target\": 3}, {\"weight\": 1421, \"source\": 2, \"target\": 5}, {\"weight\": 10346, \"source\": 2, \"target\": 8}, {\"weight\": 2593, \"source\": 2, \"target\": 4}, {\"weight\": 2667, \"source\": 2, \"target\": 6}, {\"weight\": 9582, \"source\": 2, \"target\": 7}, {\"weight\": 7745, \"source\": 2, \"target\": 3}, {\"weight\": 6761, \"source\": 3, \"target\": 5}, {\"weight\": 12995, \"source\": 3, \"target\": 8}, {\"weight\": 9643, \"source\": 3, \"target\": 4}, {\"weight\": 9187, \"source\": 3, \"target\": 6}, {\"weight\": 5835, \"source\": 3, \"target\": 7}, {\"weight\": 3082, \"source\": 4, \"target\": 5}, {\"weight\": 8186, \"source\": 4, \"target\": 8}, {\"weight\": 1641, \"source\": 4, \"target\": 6}, {\"weight\": 11720, \"source\": 4, \"target\": 7}, {\"weight\": 10709, \"source\": 5, \"target\": 8}, {\"weight\": 3075, \"source\": 5, \"target\": 6}, {\"weight\": 9171, \"source\": 5, \"target\": 7}, {\"weight\": 8649, \"source\": 6, \"target\": 8}, {\"weight\": 11733, \"source\": 6, \"target\": 7}, {\"weight\": 17707, \"source\": 7, \"target\": 8}]}", "id": 622, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CAJ, FDH, FMM, YXL, KRR, BHX, SKX, SJE, CRK\n- Travel distances (in kilometers) between each pair of airports:\nCAJ to FDH: 8694\nCAJ to FMM: 9026\nCAJ to BHX: 8192\nCAJ to CRK: 17794\nCAJ to KRR: 10770\nCAJ to SKX: 10815\nCAJ to SJE: 2068\nCAJ to YXL: 5818\nFDH to FMM: 1158\nFDH to BHX: 1031\nFDH to CRK: 10400\nFDH to KRR: 2618\nFDH to SKX: 2721\nFDH to SJE: 9645\nFDH to YXL: 7784\nFMM to BHX: 1421\nFMM to CRK: 10346\nFMM to KRR: 2593\nFMM to SKX: 2667\nFMM to SJE: 9582\nFMM to YXL: 7745\nYXL to BHX: 6761\nYXL to CRK: 12995\nYXL to KRR: 9643\nYXL to SKX: 9187\nYXL to SJE: 5835\nKRR to BHX: 3082\nKRR to CRK: 8186\nKRR to SKX: 1641\nKRR to SJE: 11720\nBHX to CRK: 10709\nBHX to SKX: 3075\nBHX to SJE: 9171\nSKX to CRK: 8649\nSKX to SJE: 11733\nSJE to CRK: 17707\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: XFW, NBC, BGY, EDI, PUE, SKP, BTS, YEG, SDF\n- Travel distances (in kilometers) between each pair of airports:\nXFW to NBC: 5052\nXFW to BGY: 2311\nXFW to YEG: 8914\nXFW to SKP: 2948\nXFW to EDI: 2672\nXFW to PUE: 10965\nXFW to SDF: 8295\nXFW to BTS: 2777\nNBC to BGY: 3151\nNBC to YEG: 9036\nNBC to SKP: 2922\nNBC to EDI: 3383\nNBC to PUE: 12582\nNBC to SDF: 9084\nNBC to BTS: 2882\nBGY to BTS: 634\nBGY to SKP: 1040\nBGY to YEG: 7765\nBGY to EDI: 1460\nBGY to PUE: 10481\nBGY to SDF: 7492\nEDI to BTS: 1642\nEDI to YEG: 6305\nEDI to SKP: 2376\nEDI to PUE: 9558\nEDI to SDF: 6275\nPUE to YEG: 6248\nPUE to SKP: 11365\nPUE to SDF: 3908\nPUE to BTS: 10910\nSKP to YEG: 8659\nSKP to SDF: 8480\nSKP to BTS: 1370\nBTS to YEG: 7947\nBTS to SDF: 7795\nYEG to SDF: 2714\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 34512, "style": "rule" }
{ "exact_answer": 34512, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"XFW\", \"id\": 0}, {\"name\": \"NBC\", \"id\": 1}, {\"name\": \"BGY\", \"id\": 2}, {\"name\": \"EDI\", \"id\": 3}, {\"name\": \"PUE\", \"id\": 4}, {\"name\": \"SKP\", \"id\": 5}, {\"name\": \"BTS\", \"id\": 6}, {\"name\": \"YEG\", \"id\": 7}, {\"name\": \"SDF\", \"id\": 8}], \"links\": [{\"weight\": 5052, \"source\": 0, \"target\": 1}, {\"weight\": 2311, \"source\": 0, \"target\": 2}, {\"weight\": 8914, \"source\": 0, \"target\": 7}, {\"weight\": 2948, \"source\": 0, \"target\": 5}, {\"weight\": 2672, \"source\": 0, \"target\": 3}, {\"weight\": 10965, \"source\": 0, \"target\": 4}, {\"weight\": 8295, \"source\": 0, \"target\": 8}, {\"weight\": 2777, \"source\": 0, \"target\": 6}, {\"weight\": 3151, \"source\": 1, \"target\": 2}, {\"weight\": 9036, \"source\": 1, \"target\": 7}, {\"weight\": 2922, \"source\": 1, \"target\": 5}, {\"weight\": 3383, \"source\": 1, \"target\": 3}, {\"weight\": 12582, \"source\": 1, \"target\": 4}, {\"weight\": 9084, \"source\": 1, \"target\": 8}, {\"weight\": 2882, \"source\": 1, \"target\": 6}, {\"weight\": 634, \"source\": 2, \"target\": 6}, {\"weight\": 1040, \"source\": 2, \"target\": 5}, {\"weight\": 7765, \"source\": 2, \"target\": 7}, {\"weight\": 1460, \"source\": 2, \"target\": 3}, {\"weight\": 10481, \"source\": 2, \"target\": 4}, {\"weight\": 7492, \"source\": 2, \"target\": 8}, {\"weight\": 1642, \"source\": 3, \"target\": 6}, {\"weight\": 6305, \"source\": 3, \"target\": 7}, {\"weight\": 2376, \"source\": 3, \"target\": 5}, {\"weight\": 9558, \"source\": 3, \"target\": 4}, {\"weight\": 6275, \"source\": 3, \"target\": 8}, {\"weight\": 6248, \"source\": 4, \"target\": 7}, {\"weight\": 11365, \"source\": 4, \"target\": 5}, {\"weight\": 3908, \"source\": 4, \"target\": 8}, {\"weight\": 10910, \"source\": 4, \"target\": 6}, {\"weight\": 8659, \"source\": 5, \"target\": 7}, {\"weight\": 8480, \"source\": 5, \"target\": 8}, {\"weight\": 1370, \"source\": 5, \"target\": 6}, {\"weight\": 7947, \"source\": 6, \"target\": 7}, {\"weight\": 7795, \"source\": 6, \"target\": 8}, {\"weight\": 2714, \"source\": 7, \"target\": 8}]}", "id": 623, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: XFW, NBC, BGY, EDI, PUE, SKP, BTS, YEG, SDF\n- Travel distances (in kilometers) between each pair of airports:\nXFW to NBC: 5052\nXFW to BGY: 2311\nXFW to YEG: 8914\nXFW to SKP: 2948\nXFW to EDI: 2672\nXFW to PUE: 10965\nXFW to SDF: 8295\nXFW to BTS: 2777\nNBC to BGY: 3151\nNBC to YEG: 9036\nNBC to SKP: 2922\nNBC to EDI: 3383\nNBC to PUE: 12582\nNBC to SDF: 9084\nNBC to BTS: 2882\nBGY to BTS: 634\nBGY to SKP: 1040\nBGY to YEG: 7765\nBGY to EDI: 1460\nBGY to PUE: 10481\nBGY to SDF: 7492\nEDI to BTS: 1642\nEDI to YEG: 6305\nEDI to SKP: 2376\nEDI to PUE: 9558\nEDI to SDF: 6275\nPUE to YEG: 6248\nPUE to SKP: 11365\nPUE to SDF: 3908\nPUE to BTS: 10910\nSKP to YEG: 8659\nSKP to SDF: 8480\nSKP to BTS: 1370\nBTS to YEG: 7947\nBTS to SDF: 7795\nYEG to SDF: 2714\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LKG, VER, PIZ, PQC, DLI, ISC, PSO, KLG, MST\n- Travel distances (in kilometers) between each pair of airports:\nLKG to VER: 16362\nLKG to KLG: 18526\nLKG to PIZ: 19205\nLKG to PSO: 15143\nLKG to PQC: 9384\nLKG to MST: 7946\nLKG to ISC: 8328\nLKG to DLI: 9296\nVER to KLG: 6926\nVER to PIZ: 7622\nVER to PSO: 3505\nVER to PQC: 16185\nVER to MST: 9800\nVER to ISC: 9107\nVER to DLI: 15795\nPIZ to KLG: 1335\nPIZ to PSO: 10382\nPIZ to PQC: 15789\nPIZ to MST: 12063\nPIZ to ISC: 11502\nPIZ to DLI: 15385\nPQC to KLG: 15110\nPQC to PSO: 18828\nPQC to MST: 10563\nPQC to ISC: 10925\nPQC to DLI: 514\nDLI to KLG: 14706\nDLI to PSO: 18590\nDLI to MST: 10413\nDLI to ISC: 10775\nISC to KLG: 10823\nISC to PSO: 9435\nISC to MST: 1526\nPSO to KLG: 9614\nPSO to MST: 9676\nKLG to MST: 11384\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 55956, "style": "rule" }
{ "exact_answer": 55956, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"LKG\", \"id\": 0}, {\"name\": \"VER\", \"id\": 1}, {\"name\": \"PIZ\", \"id\": 2}, {\"name\": \"PQC\", \"id\": 3}, {\"name\": \"DLI\", \"id\": 4}, {\"name\": \"ISC\", \"id\": 5}, {\"name\": \"PSO\", \"id\": 6}, {\"name\": \"KLG\", \"id\": 7}, {\"name\": \"MST\", \"id\": 8}], \"links\": [{\"weight\": 16362, \"source\": 0, \"target\": 1}, {\"weight\": 18526, \"source\": 0, \"target\": 7}, {\"weight\": 19205, \"source\": 0, \"target\": 2}, {\"weight\": 15143, \"source\": 0, \"target\": 6}, {\"weight\": 9384, \"source\": 0, \"target\": 3}, {\"weight\": 7946, \"source\": 0, \"target\": 8}, {\"weight\": 8328, \"source\": 0, \"target\": 5}, {\"weight\": 9296, \"source\": 0, \"target\": 4}, {\"weight\": 6926, \"source\": 1, \"target\": 7}, {\"weight\": 7622, \"source\": 1, \"target\": 2}, {\"weight\": 3505, \"source\": 1, \"target\": 6}, {\"weight\": 16185, \"source\": 1, \"target\": 3}, {\"weight\": 9800, \"source\": 1, \"target\": 8}, {\"weight\": 9107, \"source\": 1, \"target\": 5}, {\"weight\": 15795, \"source\": 1, \"target\": 4}, {\"weight\": 1335, \"source\": 2, \"target\": 7}, {\"weight\": 10382, \"source\": 2, \"target\": 6}, {\"weight\": 15789, \"source\": 2, \"target\": 3}, {\"weight\": 12063, \"source\": 2, \"target\": 8}, {\"weight\": 11502, \"source\": 2, \"target\": 5}, {\"weight\": 15385, \"source\": 2, \"target\": 4}, {\"weight\": 15110, \"source\": 3, \"target\": 7}, {\"weight\": 18828, \"source\": 3, \"target\": 6}, {\"weight\": 10563, \"source\": 3, \"target\": 8}, {\"weight\": 10925, \"source\": 3, \"target\": 5}, {\"weight\": 514, \"source\": 3, \"target\": 4}, {\"weight\": 14706, \"source\": 4, \"target\": 7}, {\"weight\": 18590, \"source\": 4, \"target\": 6}, {\"weight\": 10413, \"source\": 4, \"target\": 8}, {\"weight\": 10775, \"source\": 4, \"target\": 5}, {\"weight\": 10823, \"source\": 5, \"target\": 7}, {\"weight\": 9435, \"source\": 5, \"target\": 6}, {\"weight\": 1526, \"source\": 5, \"target\": 8}, {\"weight\": 9614, \"source\": 6, \"target\": 7}, {\"weight\": 9676, \"source\": 6, \"target\": 8}, {\"weight\": 11384, \"source\": 7, \"target\": 8}]}", "id": 624, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LKG, VER, PIZ, PQC, DLI, ISC, PSO, KLG, MST\n- Travel distances (in kilometers) between each pair of airports:\nLKG to VER: 16362\nLKG to KLG: 18526\nLKG to PIZ: 19205\nLKG to PSO: 15143\nLKG to PQC: 9384\nLKG to MST: 7946\nLKG to ISC: 8328\nLKG to DLI: 9296\nVER to KLG: 6926\nVER to PIZ: 7622\nVER to PSO: 3505\nVER to PQC: 16185\nVER to MST: 9800\nVER to ISC: 9107\nVER to DLI: 15795\nPIZ to KLG: 1335\nPIZ to PSO: 10382\nPIZ to PQC: 15789\nPIZ to MST: 12063\nPIZ to ISC: 11502\nPIZ to DLI: 15385\nPQC to KLG: 15110\nPQC to PSO: 18828\nPQC to MST: 10563\nPQC to ISC: 10925\nPQC to DLI: 514\nDLI to KLG: 14706\nDLI to PSO: 18590\nDLI to MST: 10413\nDLI to ISC: 10775\nISC to KLG: 10823\nISC to PSO: 9435\nISC to MST: 1526\nPSO to KLG: 9614\nPSO to MST: 9676\nKLG to MST: 11384\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PYY, EDO, YZV, SUG, TSA, DBO, ERN, HSG, PRN\n- Travel distances (in kilometers) between each pair of airports:\nPYY to SUG: 3338\nPYY to YZV: 14387\nPYY to TSA: 2514\nPYY to PRN: 8011\nPYY to HSG: 3589\nPYY to ERN: 19352\nPYY to EDO: 7571\nPYY to DBO: 8495\nEDO to SUG: 10109\nEDO to YZV: 7743\nEDO to TSA: 8693\nEDO to PRN: 954\nEDO to HSG: 8884\nEDO to ERN: 12442\nEDO to DBO: 15312\nYZV to SUG: 15020\nYZV to TSA: 13356\nYZV to PRN: 6844\nYZV to HSG: 12477\nYZV to ERN: 7727\nYZV to DBO: 17100\nSUG to TSA: 1936\nSUG to PRN: 10527\nSUG to HSG: 3398\nSUG to ERN: 20490\nSUG to DBO: 6619\nTSA to PRN: 9091\nTSA to HSG: 1506\nTSA to ERN: 19013\nTSA to DBO: 7792\nDBO to PRN: 15778\nDBO to HSG: 9005\nDBO to ERN: 18158\nERN to PRN: 11818\nERN to HSG: 18075\nHSG to PRN: 9176\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 54904, "style": "rule" }
{ "exact_answer": 54904, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"PYY\", \"id\": 0}, {\"name\": \"EDO\", \"id\": 1}, {\"name\": \"YZV\", \"id\": 2}, {\"name\": \"SUG\", \"id\": 3}, {\"name\": \"TSA\", \"id\": 4}, {\"name\": \"DBO\", \"id\": 5}, {\"name\": \"ERN\", \"id\": 6}, {\"name\": \"HSG\", \"id\": 7}, {\"name\": \"PRN\", \"id\": 8}], \"links\": [{\"weight\": 3338, \"source\": 0, \"target\": 3}, {\"weight\": 14387, \"source\": 0, \"target\": 2}, {\"weight\": 2514, \"source\": 0, \"target\": 4}, {\"weight\": 8011, \"source\": 0, \"target\": 8}, {\"weight\": 3589, \"source\": 0, \"target\": 7}, {\"weight\": 19352, \"source\": 0, \"target\": 6}, {\"weight\": 7571, \"source\": 0, \"target\": 1}, {\"weight\": 8495, \"source\": 0, \"target\": 5}, {\"weight\": 10109, \"source\": 1, \"target\": 3}, {\"weight\": 7743, \"source\": 1, \"target\": 2}, {\"weight\": 8693, \"source\": 1, \"target\": 4}, {\"weight\": 954, \"source\": 1, \"target\": 8}, {\"weight\": 8884, \"source\": 1, \"target\": 7}, {\"weight\": 12442, \"source\": 1, \"target\": 6}, {\"weight\": 15312, \"source\": 1, \"target\": 5}, {\"weight\": 15020, \"source\": 2, \"target\": 3}, {\"weight\": 13356, \"source\": 2, \"target\": 4}, {\"weight\": 6844, \"source\": 2, \"target\": 8}, {\"weight\": 12477, \"source\": 2, \"target\": 7}, {\"weight\": 7727, \"source\": 2, \"target\": 6}, {\"weight\": 17100, \"source\": 2, \"target\": 5}, {\"weight\": 1936, \"source\": 3, \"target\": 4}, {\"weight\": 10527, \"source\": 3, \"target\": 8}, {\"weight\": 3398, \"source\": 3, \"target\": 7}, {\"weight\": 20490, \"source\": 3, \"target\": 6}, {\"weight\": 6619, \"source\": 3, \"target\": 5}, {\"weight\": 9091, \"source\": 4, \"target\": 8}, {\"weight\": 1506, \"source\": 4, \"target\": 7}, {\"weight\": 19013, \"source\": 4, \"target\": 6}, {\"weight\": 7792, \"source\": 4, \"target\": 5}, {\"weight\": 15778, \"source\": 5, \"target\": 8}, {\"weight\": 9005, \"source\": 5, \"target\": 7}, {\"weight\": 18158, \"source\": 5, \"target\": 6}, {\"weight\": 11818, \"source\": 6, \"target\": 8}, {\"weight\": 18075, \"source\": 6, \"target\": 7}, {\"weight\": 9176, \"source\": 7, \"target\": 8}]}", "id": 625, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PYY, EDO, YZV, SUG, TSA, DBO, ERN, HSG, PRN\n- Travel distances (in kilometers) between each pair of airports:\nPYY to SUG: 3338\nPYY to YZV: 14387\nPYY to TSA: 2514\nPYY to PRN: 8011\nPYY to HSG: 3589\nPYY to ERN: 19352\nPYY to EDO: 7571\nPYY to DBO: 8495\nEDO to SUG: 10109\nEDO to YZV: 7743\nEDO to TSA: 8693\nEDO to PRN: 954\nEDO to HSG: 8884\nEDO to ERN: 12442\nEDO to DBO: 15312\nYZV to SUG: 15020\nYZV to TSA: 13356\nYZV to PRN: 6844\nYZV to HSG: 12477\nYZV to ERN: 7727\nYZV to DBO: 17100\nSUG to TSA: 1936\nSUG to PRN: 10527\nSUG to HSG: 3398\nSUG to ERN: 20490\nSUG to DBO: 6619\nTSA to PRN: 9091\nTSA to HSG: 1506\nTSA to ERN: 19013\nTSA to DBO: 7792\nDBO to PRN: 15778\nDBO to HSG: 9005\nDBO to ERN: 18158\nERN to PRN: 11818\nERN to HSG: 18075\nHSG to PRN: 9176\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: AGB, RBQ, MOC, EDI, SOG, SVQ, SXK, JUB, CIF\n- Travel distances (in kilometers) between each pair of airports:\nAGB to EDI: 2227\nAGB to JUB: 6268\nAGB to SVQ: 1860\nAGB to MOC: 9720\nAGB to CIF: 9433\nAGB to SXK: 14752\nAGB to SOG: 2723\nAGB to RBQ: 11214\nRBQ to EDI: 11431\nRBQ to JUB: 12174\nRBQ to SVQ: 10105\nRBQ to MOC: 3455\nRBQ to CIF: 17829\nRBQ to SXK: 20314\nRBQ to SOG: 12135\nMOC to EDI: 9719\nMOC to JUB: 9894\nMOC to SVQ: 7888\nMOC to CIF: 17695\nMOC to SXK: 20338\nMOC to SOG: 10502\nEDI to JUB: 6759\nEDI to SVQ: 2082\nEDI to CIF: 8320\nEDI to SXK: 14288\nEDI to SOG: 838\nSOG to JUB: 6730\nSOG to SVQ: 2802\nSOG to CIF: 7619\nSOG to SXK: 13573\nSVQ to JUB: 6522\nSVQ to CIF: 9864\nSVQ to SXK: 15088\nSXK to JUB: 12090\nSXK to CIF: 7028\nJUB to CIF: 9552\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 55116, "style": "rule" }
{ "exact_answer": 55116, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"AGB\", \"id\": 0}, {\"name\": \"RBQ\", \"id\": 1}, {\"name\": \"MOC\", \"id\": 2}, {\"name\": \"EDI\", \"id\": 3}, {\"name\": \"SOG\", \"id\": 4}, {\"name\": \"SVQ\", \"id\": 5}, {\"name\": \"SXK\", \"id\": 6}, {\"name\": \"JUB\", \"id\": 7}, {\"name\": \"CIF\", \"id\": 8}], \"links\": [{\"weight\": 2227, \"source\": 0, \"target\": 3}, {\"weight\": 6268, \"source\": 0, \"target\": 7}, {\"weight\": 1860, \"source\": 0, \"target\": 5}, {\"weight\": 9720, \"source\": 0, \"target\": 2}, {\"weight\": 9433, \"source\": 0, \"target\": 8}, {\"weight\": 14752, \"source\": 0, \"target\": 6}, {\"weight\": 2723, \"source\": 0, \"target\": 4}, {\"weight\": 11214, \"source\": 0, \"target\": 1}, {\"weight\": 11431, \"source\": 1, \"target\": 3}, {\"weight\": 12174, \"source\": 1, \"target\": 7}, {\"weight\": 10105, \"source\": 1, \"target\": 5}, {\"weight\": 3455, \"source\": 1, \"target\": 2}, {\"weight\": 17829, \"source\": 1, \"target\": 8}, {\"weight\": 20314, \"source\": 1, \"target\": 6}, {\"weight\": 12135, \"source\": 1, \"target\": 4}, {\"weight\": 9719, \"source\": 2, \"target\": 3}, {\"weight\": 9894, \"source\": 2, \"target\": 7}, {\"weight\": 7888, \"source\": 2, \"target\": 5}, {\"weight\": 17695, \"source\": 2, \"target\": 8}, {\"weight\": 20338, \"source\": 2, \"target\": 6}, {\"weight\": 10502, \"source\": 2, \"target\": 4}, {\"weight\": 6759, \"source\": 3, \"target\": 7}, {\"weight\": 2082, \"source\": 3, \"target\": 5}, {\"weight\": 8320, \"source\": 3, \"target\": 8}, {\"weight\": 14288, \"source\": 3, \"target\": 6}, {\"weight\": 838, \"source\": 3, \"target\": 4}, {\"weight\": 6730, \"source\": 4, \"target\": 7}, {\"weight\": 2802, \"source\": 4, \"target\": 5}, {\"weight\": 7619, \"source\": 4, \"target\": 8}, {\"weight\": 13573, \"source\": 4, \"target\": 6}, {\"weight\": 6522, \"source\": 5, \"target\": 7}, {\"weight\": 9864, \"source\": 5, \"target\": 8}, {\"weight\": 15088, \"source\": 5, \"target\": 6}, {\"weight\": 12090, \"source\": 6, \"target\": 7}, {\"weight\": 7028, \"source\": 6, \"target\": 8}, {\"weight\": 9552, \"source\": 7, \"target\": 8}]}", "id": 626, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: AGB, RBQ, MOC, EDI, SOG, SVQ, SXK, JUB, CIF\n- Travel distances (in kilometers) between each pair of airports:\nAGB to EDI: 2227\nAGB to JUB: 6268\nAGB to SVQ: 1860\nAGB to MOC: 9720\nAGB to CIF: 9433\nAGB to SXK: 14752\nAGB to SOG: 2723\nAGB to RBQ: 11214\nRBQ to EDI: 11431\nRBQ to JUB: 12174\nRBQ to SVQ: 10105\nRBQ to MOC: 3455\nRBQ to CIF: 17829\nRBQ to SXK: 20314\nRBQ to SOG: 12135\nMOC to EDI: 9719\nMOC to JUB: 9894\nMOC to SVQ: 7888\nMOC to CIF: 17695\nMOC to SXK: 20338\nMOC to SOG: 10502\nEDI to JUB: 6759\nEDI to SVQ: 2082\nEDI to CIF: 8320\nEDI to SXK: 14288\nEDI to SOG: 838\nSOG to JUB: 6730\nSOG to SVQ: 2802\nSOG to CIF: 7619\nSOG to SXK: 13573\nSVQ to JUB: 6522\nSVQ to CIF: 9864\nSVQ to SXK: 15088\nSXK to JUB: 12090\nSXK to CIF: 7028\nJUB to CIF: 9552\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: DEC, TLM, YCG, VIE, PMI, CIT, CHU, KRL, AJA\n- Travel distances (in kilometers) between each pair of airports:\nDEC to PMI: 7542\nDEC to VIE: 7817\nDEC to CHU: 5346\nDEC to AJA: 7794\nDEC to YCG: 2801\nDEC to TLM: 8179\nDEC to KRL: 12321\nDEC to CIT: 11077\nTLM to PMI: 780\nTLM to VIE: 2122\nTLM to CHU: 12476\nTLM to AJA: 1435\nTLM to YCG: 9263\nTLM to KRL: 7699\nTLM to CIT: 6061\nYCG to PMI: 8682\nYCG to VIE: 8452\nYCG to CHU: 3459\nYCG to AJA: 8612\nYCG to KRL: 11456\nYCG to CIT: 11515\nVIE to PMI: 1457\nVIE to CHU: 11651\nVIE to AJA: 1104\nVIE to KRL: 5658\nVIE to CIT: 4206\nPMI to CHU: 11860\nPMI to AJA: 816\nPMI to KRL: 7115\nPMI to CIT: 5569\nCIT to CHU: 14686\nCIT to AJA: 5086\nCIT to KRL: 1734\nCHU to AJA: 11825\nCHU to KRL: 14092\nKRL to AJA: 6724\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 37062, "style": "rule" }
{ "exact_answer": 37062, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"DEC\", \"id\": 0}, {\"name\": \"TLM\", \"id\": 1}, {\"name\": \"YCG\", \"id\": 2}, {\"name\": \"VIE\", \"id\": 3}, {\"name\": \"PMI\", \"id\": 4}, {\"name\": \"CIT\", \"id\": 5}, {\"name\": \"CHU\", \"id\": 6}, {\"name\": \"KRL\", \"id\": 7}, {\"name\": \"AJA\", \"id\": 8}], \"links\": [{\"weight\": 7542, \"source\": 0, \"target\": 4}, {\"weight\": 7817, \"source\": 0, \"target\": 3}, {\"weight\": 5346, \"source\": 0, \"target\": 6}, {\"weight\": 7794, \"source\": 0, \"target\": 8}, {\"weight\": 2801, \"source\": 0, \"target\": 2}, {\"weight\": 8179, \"source\": 0, \"target\": 1}, {\"weight\": 12321, \"source\": 0, \"target\": 7}, {\"weight\": 11077, \"source\": 0, \"target\": 5}, {\"weight\": 780, \"source\": 1, \"target\": 4}, {\"weight\": 2122, \"source\": 1, \"target\": 3}, {\"weight\": 12476, \"source\": 1, \"target\": 6}, {\"weight\": 1435, \"source\": 1, \"target\": 8}, {\"weight\": 9263, \"source\": 1, \"target\": 2}, {\"weight\": 7699, \"source\": 1, \"target\": 7}, {\"weight\": 6061, \"source\": 1, \"target\": 5}, {\"weight\": 8682, \"source\": 2, \"target\": 4}, {\"weight\": 8452, \"source\": 2, \"target\": 3}, {\"weight\": 3459, \"source\": 2, \"target\": 6}, {\"weight\": 8612, \"source\": 2, \"target\": 8}, {\"weight\": 11456, \"source\": 2, \"target\": 7}, {\"weight\": 11515, \"source\": 2, \"target\": 5}, {\"weight\": 1457, \"source\": 3, \"target\": 4}, {\"weight\": 11651, \"source\": 3, \"target\": 6}, {\"weight\": 1104, \"source\": 3, \"target\": 8}, {\"weight\": 5658, \"source\": 3, \"target\": 7}, {\"weight\": 4206, \"source\": 3, \"target\": 5}, {\"weight\": 11860, \"source\": 4, \"target\": 6}, {\"weight\": 816, \"source\": 4, \"target\": 8}, {\"weight\": 7115, \"source\": 4, \"target\": 7}, {\"weight\": 5569, \"source\": 4, \"target\": 5}, {\"weight\": 14686, \"source\": 5, \"target\": 6}, {\"weight\": 5086, \"source\": 5, \"target\": 8}, {\"weight\": 1734, \"source\": 5, \"target\": 7}, {\"weight\": 11825, \"source\": 6, \"target\": 8}, {\"weight\": 14092, \"source\": 6, \"target\": 7}, {\"weight\": 6724, \"source\": 7, \"target\": 8}]}", "id": 627, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: DEC, TLM, YCG, VIE, PMI, CIT, CHU, KRL, AJA\n- Travel distances (in kilometers) between each pair of airports:\nDEC to PMI: 7542\nDEC to VIE: 7817\nDEC to CHU: 5346\nDEC to AJA: 7794\nDEC to YCG: 2801\nDEC to TLM: 8179\nDEC to KRL: 12321\nDEC to CIT: 11077\nTLM to PMI: 780\nTLM to VIE: 2122\nTLM to CHU: 12476\nTLM to AJA: 1435\nTLM to YCG: 9263\nTLM to KRL: 7699\nTLM to CIT: 6061\nYCG to PMI: 8682\nYCG to VIE: 8452\nYCG to CHU: 3459\nYCG to AJA: 8612\nYCG to KRL: 11456\nYCG to CIT: 11515\nVIE to PMI: 1457\nVIE to CHU: 11651\nVIE to AJA: 1104\nVIE to KRL: 5658\nVIE to CIT: 4206\nPMI to CHU: 11860\nPMI to AJA: 816\nPMI to KRL: 7115\nPMI to CIT: 5569\nCIT to CHU: 14686\nCIT to AJA: 5086\nCIT to KRL: 1734\nCHU to AJA: 11825\nCHU to KRL: 14092\nKRL to AJA: 6724\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: MSJ, CNF, WHK, TNO, CEC, EEK, TVS, ELQ, JKR\n- Travel distances (in kilometers) between each pair of airports:\nMSJ to TVS: 2562\nMSJ to EEK: 11327\nMSJ to TNO: 13661\nMSJ to CNF: 19073\nMSJ to ELQ: 9549\nMSJ to WHK: 10170\nMSJ to CEC: 9363\nMSJ to JKR: 5807\nCNF to TVS: 17717\nCNF to EEK: 13521\nCNF to TNO: 5744\nCNF to ELQ: 11290\nCNF to WHK: 12974\nCNF to CEC: 10776\nCNF to JKR: 15358\nWHK to TVS: 10595\nWHK to EEK: 12477\nWHK to TNO: 14970\nWHK to ELQ: 15545\nWHK to CEC: 11210\nWHK to JKR: 12120\nTNO to TVS: 14546\nTNO to EEK: 8368\nTNO to ELQ: 13316\nTNO to CEC: 5273\nTNO to JKR: 16268\nCEC to TVS: 10349\nCEC to EEK: 4369\nCEC to ELQ: 13440\nCEC to JKR: 13300\nEEK to TVS: 12175\nEEK to ELQ: 15116\nEEK to JKR: 15023\nTVS to ELQ: 7225\nTVS to JKR: 3434\nELQ to JKR: 4234\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 59553, "style": "rule" }
{ "exact_answer": 59553, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"MSJ\", \"id\": 0}, {\"name\": \"CNF\", \"id\": 1}, {\"name\": \"WHK\", \"id\": 2}, {\"name\": \"TNO\", \"id\": 3}, {\"name\": \"CEC\", \"id\": 4}, {\"name\": \"EEK\", \"id\": 5}, {\"name\": \"TVS\", \"id\": 6}, {\"name\": \"ELQ\", \"id\": 7}, {\"name\": \"JKR\", \"id\": 8}], \"links\": [{\"weight\": 2562, \"source\": 0, \"target\": 6}, {\"weight\": 11327, \"source\": 0, \"target\": 5}, {\"weight\": 13661, \"source\": 0, \"target\": 3}, {\"weight\": 19073, \"source\": 0, \"target\": 1}, {\"weight\": 9549, \"source\": 0, \"target\": 7}, {\"weight\": 10170, \"source\": 0, \"target\": 2}, {\"weight\": 9363, \"source\": 0, \"target\": 4}, {\"weight\": 5807, \"source\": 0, \"target\": 8}, {\"weight\": 17717, \"source\": 1, \"target\": 6}, {\"weight\": 13521, \"source\": 1, \"target\": 5}, {\"weight\": 5744, \"source\": 1, \"target\": 3}, {\"weight\": 11290, \"source\": 1, \"target\": 7}, {\"weight\": 12974, \"source\": 1, \"target\": 2}, {\"weight\": 10776, \"source\": 1, \"target\": 4}, {\"weight\": 15358, \"source\": 1, \"target\": 8}, {\"weight\": 10595, \"source\": 2, \"target\": 6}, {\"weight\": 12477, \"source\": 2, \"target\": 5}, {\"weight\": 14970, \"source\": 2, \"target\": 3}, {\"weight\": 15545, \"source\": 2, \"target\": 7}, {\"weight\": 11210, \"source\": 2, \"target\": 4}, {\"weight\": 12120, \"source\": 2, \"target\": 8}, {\"weight\": 14546, \"source\": 3, \"target\": 6}, {\"weight\": 8368, \"source\": 3, \"target\": 5}, {\"weight\": 13316, \"source\": 3, \"target\": 7}, {\"weight\": 5273, \"source\": 3, \"target\": 4}, {\"weight\": 16268, \"source\": 3, \"target\": 8}, {\"weight\": 10349, \"source\": 4, \"target\": 6}, {\"weight\": 4369, \"source\": 4, \"target\": 5}, {\"weight\": 13440, \"source\": 4, \"target\": 7}, {\"weight\": 13300, \"source\": 4, \"target\": 8}, {\"weight\": 12175, \"source\": 5, \"target\": 6}, {\"weight\": 15116, \"source\": 5, \"target\": 7}, {\"weight\": 15023, \"source\": 5, \"target\": 8}, {\"weight\": 7225, \"source\": 6, \"target\": 7}, {\"weight\": 3434, \"source\": 6, \"target\": 8}, {\"weight\": 4234, \"source\": 7, \"target\": 8}]}", "id": 628, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: MSJ, CNF, WHK, TNO, CEC, EEK, TVS, ELQ, JKR\n- Travel distances (in kilometers) between each pair of airports:\nMSJ to TVS: 2562\nMSJ to EEK: 11327\nMSJ to TNO: 13661\nMSJ to CNF: 19073\nMSJ to ELQ: 9549\nMSJ to WHK: 10170\nMSJ to CEC: 9363\nMSJ to JKR: 5807\nCNF to TVS: 17717\nCNF to EEK: 13521\nCNF to TNO: 5744\nCNF to ELQ: 11290\nCNF to WHK: 12974\nCNF to CEC: 10776\nCNF to JKR: 15358\nWHK to TVS: 10595\nWHK to EEK: 12477\nWHK to TNO: 14970\nWHK to ELQ: 15545\nWHK to CEC: 11210\nWHK to JKR: 12120\nTNO to TVS: 14546\nTNO to EEK: 8368\nTNO to ELQ: 13316\nTNO to CEC: 5273\nTNO to JKR: 16268\nCEC to TVS: 10349\nCEC to EEK: 4369\nCEC to ELQ: 13440\nCEC to JKR: 13300\nEEK to TVS: 12175\nEEK to ELQ: 15116\nEEK to JKR: 15023\nTVS to ELQ: 7225\nTVS to JKR: 3434\nELQ to JKR: 4234\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SBN, FOC, OCC, CIC, HMO, GWD, OST, SGG, IAR\n- Travel distances (in kilometers) between each pair of airports:\nSBN to OCC: 4888\nSBN to FOC: 12083\nSBN to HMO: 2891\nSBN to IAR: 8129\nSBN to SGG: 6954\nSBN to OST: 7492\nSBN to GWD: 12437\nSBN to CIC: 3343\nFOC to OCC: 16749\nFOC to HMO: 11883\nFOC to IAR: 8276\nFOC to SGG: 12450\nFOC to OST: 10176\nFOC to GWD: 5763\nFOC to CIC: 10705\nOCC to HMO: 4914\nOCC to IAR: 11879\nOCC to SGG: 11054\nOCC to OST: 10185\nOCC to GWD: 15351\nOCC to CIC: 6570\nCIC to HMO: 1670\nCIC to IAR: 10403\nCIC to SGG: 9228\nCIC to OST: 10067\nCIC to GWD: 14062\nHMO to IAR: 10550\nHMO to SGG: 9375\nHMO to OST: 10290\nHMO to GWD: 14858\nGWD to IAR: 5663\nGWD to SGG: 9755\nGWD to OST: 6410\nOST to IAR: 3364\nOST to SGG: 5401\nSGG to IAR: 5555\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 49322, "style": "rule" }
{ "exact_answer": 49322, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"SBN\", \"id\": 0}, {\"name\": \"FOC\", \"id\": 1}, {\"name\": \"OCC\", \"id\": 2}, {\"name\": \"CIC\", \"id\": 3}, {\"name\": \"HMO\", \"id\": 4}, {\"name\": \"GWD\", \"id\": 5}, {\"name\": \"OST\", \"id\": 6}, {\"name\": \"SGG\", \"id\": 7}, {\"name\": \"IAR\", \"id\": 8}], \"links\": [{\"weight\": 4888, \"source\": 0, \"target\": 2}, {\"weight\": 12083, \"source\": 0, \"target\": 1}, {\"weight\": 2891, \"source\": 0, \"target\": 4}, {\"weight\": 8129, \"source\": 0, \"target\": 8}, {\"weight\": 6954, \"source\": 0, \"target\": 7}, {\"weight\": 7492, \"source\": 0, \"target\": 6}, {\"weight\": 12437, \"source\": 0, \"target\": 5}, {\"weight\": 3343, \"source\": 0, \"target\": 3}, {\"weight\": 16749, \"source\": 1, \"target\": 2}, {\"weight\": 11883, \"source\": 1, \"target\": 4}, {\"weight\": 8276, \"source\": 1, \"target\": 8}, {\"weight\": 12450, \"source\": 1, \"target\": 7}, {\"weight\": 10176, \"source\": 1, \"target\": 6}, {\"weight\": 5763, \"source\": 1, \"target\": 5}, {\"weight\": 10705, \"source\": 1, \"target\": 3}, {\"weight\": 4914, \"source\": 2, \"target\": 4}, {\"weight\": 11879, \"source\": 2, \"target\": 8}, {\"weight\": 11054, \"source\": 2, \"target\": 7}, {\"weight\": 10185, \"source\": 2, \"target\": 6}, {\"weight\": 15351, \"source\": 2, \"target\": 5}, {\"weight\": 6570, \"source\": 2, \"target\": 3}, {\"weight\": 1670, \"source\": 3, \"target\": 4}, {\"weight\": 10403, \"source\": 3, \"target\": 8}, {\"weight\": 9228, \"source\": 3, \"target\": 7}, {\"weight\": 10067, \"source\": 3, \"target\": 6}, {\"weight\": 14062, \"source\": 3, \"target\": 5}, {\"weight\": 10550, \"source\": 4, \"target\": 8}, {\"weight\": 9375, \"source\": 4, \"target\": 7}, {\"weight\": 10290, \"source\": 4, \"target\": 6}, {\"weight\": 14858, \"source\": 4, \"target\": 5}, {\"weight\": 5663, \"source\": 5, \"target\": 8}, {\"weight\": 9755, \"source\": 5, \"target\": 7}, {\"weight\": 6410, \"source\": 5, \"target\": 6}, {\"weight\": 3364, \"source\": 6, \"target\": 8}, {\"weight\": 5401, \"source\": 6, \"target\": 7}, {\"weight\": 5555, \"source\": 7, \"target\": 8}]}", "id": 629, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SBN, FOC, OCC, CIC, HMO, GWD, OST, SGG, IAR\n- Travel distances (in kilometers) between each pair of airports:\nSBN to OCC: 4888\nSBN to FOC: 12083\nSBN to HMO: 2891\nSBN to IAR: 8129\nSBN to SGG: 6954\nSBN to OST: 7492\nSBN to GWD: 12437\nSBN to CIC: 3343\nFOC to OCC: 16749\nFOC to HMO: 11883\nFOC to IAR: 8276\nFOC to SGG: 12450\nFOC to OST: 10176\nFOC to GWD: 5763\nFOC to CIC: 10705\nOCC to HMO: 4914\nOCC to IAR: 11879\nOCC to SGG: 11054\nOCC to OST: 10185\nOCC to GWD: 15351\nOCC to CIC: 6570\nCIC to HMO: 1670\nCIC to IAR: 10403\nCIC to SGG: 9228\nCIC to OST: 10067\nCIC to GWD: 14062\nHMO to IAR: 10550\nHMO to SGG: 9375\nHMO to OST: 10290\nHMO to GWD: 14858\nGWD to IAR: 5663\nGWD to SGG: 9755\nGWD to OST: 6410\nOST to IAR: 3364\nOST to SGG: 5401\nSGG to IAR: 5555\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SLL, PIR, EUG, VCP, DAT, IAS, SWF, FSM, JKL\n- Travel distances (in kilometers) between each pair of airports:\nSLL to DAT: 6659\nSLL to JKL: 3966\nSLL to FSM: 13861\nSLL to EUG: 13225\nSLL to SWF: 12071\nSLL to VCP: 12279\nSLL to IAS: 4401\nSLL to PIR: 13117\nPIR to DAT: 11164\nPIR to JKL: 9714\nPIR to FSM: 2017\nPIR to EUG: 2218\nPIR to SWF: 2179\nPIR to VCP: 9475\nPIR to IAS: 9039\nEUG to DAT: 9319\nEUG to JKL: 10664\nEUG to FSM: 2947\nEUG to SWF: 4072\nEUG to VCP: 10842\nEUG to IAS: 9989\nVCP to DAT: 17850\nVCP to JKL: 10807\nVCP to FSM: 8382\nVCP to SWF: 8011\nVCP to IAS: 10919\nDAT to JKL: 8036\nDAT to FSM: 11941\nDAT to SWF: 11565\nDAT to IAS: 7870\nIAS to JKL: 1359\nIAS to FSM: 9755\nIAS to SWF: 7961\nSWF to JKL: 8574\nSWF to FSM: 2205\nFSM to JKL: 10369\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 46673, "style": "rule" }
{ "exact_answer": 46673, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"SLL\", \"id\": 0}, {\"name\": \"PIR\", \"id\": 1}, {\"name\": \"EUG\", \"id\": 2}, {\"name\": \"VCP\", \"id\": 3}, {\"name\": \"DAT\", \"id\": 4}, {\"name\": \"IAS\", \"id\": 5}, {\"name\": \"SWF\", \"id\": 6}, {\"name\": \"FSM\", \"id\": 7}, {\"name\": \"JKL\", \"id\": 8}], \"links\": [{\"weight\": 6659, \"source\": 0, \"target\": 4}, {\"weight\": 3966, \"source\": 0, \"target\": 8}, {\"weight\": 13861, \"source\": 0, \"target\": 7}, {\"weight\": 13225, \"source\": 0, \"target\": 2}, {\"weight\": 12071, \"source\": 0, \"target\": 6}, {\"weight\": 12279, \"source\": 0, \"target\": 3}, {\"weight\": 4401, \"source\": 0, \"target\": 5}, {\"weight\": 13117, \"source\": 0, \"target\": 1}, {\"weight\": 11164, \"source\": 1, \"target\": 4}, {\"weight\": 9714, \"source\": 1, \"target\": 8}, {\"weight\": 2017, \"source\": 1, \"target\": 7}, {\"weight\": 2218, \"source\": 1, \"target\": 2}, {\"weight\": 2179, \"source\": 1, \"target\": 6}, {\"weight\": 9475, \"source\": 1, \"target\": 3}, {\"weight\": 9039, \"source\": 1, \"target\": 5}, {\"weight\": 9319, \"source\": 2, \"target\": 4}, {\"weight\": 10664, \"source\": 2, \"target\": 8}, {\"weight\": 2947, \"source\": 2, \"target\": 7}, {\"weight\": 4072, \"source\": 2, \"target\": 6}, {\"weight\": 10842, \"source\": 2, \"target\": 3}, {\"weight\": 9989, \"source\": 2, \"target\": 5}, {\"weight\": 17850, \"source\": 3, \"target\": 4}, {\"weight\": 10807, \"source\": 3, \"target\": 8}, {\"weight\": 8382, \"source\": 3, \"target\": 7}, {\"weight\": 8011, \"source\": 3, \"target\": 6}, {\"weight\": 10919, \"source\": 3, \"target\": 5}, {\"weight\": 8036, \"source\": 4, \"target\": 8}, {\"weight\": 11941, \"source\": 4, \"target\": 7}, {\"weight\": 11565, \"source\": 4, \"target\": 6}, {\"weight\": 7870, \"source\": 4, \"target\": 5}, {\"weight\": 1359, \"source\": 5, \"target\": 8}, {\"weight\": 9755, \"source\": 5, \"target\": 7}, {\"weight\": 7961, \"source\": 5, \"target\": 6}, {\"weight\": 8574, \"source\": 6, \"target\": 8}, {\"weight\": 2205, \"source\": 6, \"target\": 7}, {\"weight\": 10369, \"source\": 7, \"target\": 8}]}", "id": 630, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SLL, PIR, EUG, VCP, DAT, IAS, SWF, FSM, JKL\n- Travel distances (in kilometers) between each pair of airports:\nSLL to DAT: 6659\nSLL to JKL: 3966\nSLL to FSM: 13861\nSLL to EUG: 13225\nSLL to SWF: 12071\nSLL to VCP: 12279\nSLL to IAS: 4401\nSLL to PIR: 13117\nPIR to DAT: 11164\nPIR to JKL: 9714\nPIR to FSM: 2017\nPIR to EUG: 2218\nPIR to SWF: 2179\nPIR to VCP: 9475\nPIR to IAS: 9039\nEUG to DAT: 9319\nEUG to JKL: 10664\nEUG to FSM: 2947\nEUG to SWF: 4072\nEUG to VCP: 10842\nEUG to IAS: 9989\nVCP to DAT: 17850\nVCP to JKL: 10807\nVCP to FSM: 8382\nVCP to SWF: 8011\nVCP to IAS: 10919\nDAT to JKL: 8036\nDAT to FSM: 11941\nDAT to SWF: 11565\nDAT to IAS: 7870\nIAS to JKL: 1359\nIAS to FSM: 9755\nIAS to SWF: 7961\nSWF to JKL: 8574\nSWF to FSM: 2205\nFSM to JKL: 10369\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PCL, PIN, TAO, AIT, RIA, OIA, HUN, URY, RIB\n- Travel distances (in kilometers) between each pair of airports:\nPCL to TAO: 16791\nPCL to RIB: 2414\nPCL to PIN: 5004\nPCL to RIA: 4074\nPCL to HUN: 17901\nPCL to AIT: 12356\nPCL to OIA: 6233\nPCL to URY: 15597\nPIN to TAO: 17150\nPIN to RIB: 5979\nPIN to RIA: 4103\nPIN to HUN: 18294\nPIN to AIT: 15079\nPIN to OIA: 2350\nPIN to URY: 13493\nTAO to RIB: 18696\nTAO to RIA: 19222\nTAO to HUN: 1368\nTAO to AIT: 12645\nTAO to OIA: 17354\nTAO to URY: 8325\nAIT to RIB: 12167\nAIT to RIA: 11645\nAIT to HUN: 12616\nAIT to OIA: 14285\nAIT to URY: 19276\nRIA to RIB: 4027\nRIA to HUN: 19851\nRIA to OIA: 3287\nRIA to URY: 12696\nOIA to RIB: 5185\nOIA to HUN: 18594\nOIA to URY: 12317\nHUN to RIB: 19667\nHUN to URY: 8683\nURY to RIB: 14572\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 59734, "style": "rule" }
{ "exact_answer": 59734, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"PCL\", \"id\": 0}, {\"name\": \"PIN\", \"id\": 1}, {\"name\": \"TAO\", \"id\": 2}, {\"name\": \"AIT\", \"id\": 3}, {\"name\": \"RIA\", \"id\": 4}, {\"name\": \"OIA\", \"id\": 5}, {\"name\": \"HUN\", \"id\": 6}, {\"name\": \"URY\", \"id\": 7}, {\"name\": \"RIB\", \"id\": 8}], \"links\": [{\"weight\": 16791, \"source\": 0, \"target\": 2}, {\"weight\": 2414, \"source\": 0, \"target\": 8}, {\"weight\": 5004, \"source\": 0, \"target\": 1}, {\"weight\": 4074, \"source\": 0, \"target\": 4}, {\"weight\": 17901, \"source\": 0, \"target\": 6}, {\"weight\": 12356, \"source\": 0, \"target\": 3}, {\"weight\": 6233, \"source\": 0, \"target\": 5}, {\"weight\": 15597, \"source\": 0, \"target\": 7}, {\"weight\": 17150, \"source\": 1, \"target\": 2}, {\"weight\": 5979, \"source\": 1, \"target\": 8}, {\"weight\": 4103, \"source\": 1, \"target\": 4}, {\"weight\": 18294, \"source\": 1, \"target\": 6}, {\"weight\": 15079, \"source\": 1, \"target\": 3}, {\"weight\": 2350, \"source\": 1, \"target\": 5}, {\"weight\": 13493, \"source\": 1, \"target\": 7}, {\"weight\": 18696, \"source\": 2, \"target\": 8}, {\"weight\": 19222, \"source\": 2, \"target\": 4}, {\"weight\": 1368, \"source\": 2, \"target\": 6}, {\"weight\": 12645, \"source\": 2, \"target\": 3}, {\"weight\": 17354, \"source\": 2, \"target\": 5}, {\"weight\": 8325, \"source\": 2, \"target\": 7}, {\"weight\": 12167, \"source\": 3, \"target\": 8}, {\"weight\": 11645, \"source\": 3, \"target\": 4}, {\"weight\": 12616, \"source\": 3, \"target\": 6}, {\"weight\": 14285, \"source\": 3, \"target\": 5}, {\"weight\": 19276, \"source\": 3, \"target\": 7}, {\"weight\": 4027, \"source\": 4, \"target\": 8}, {\"weight\": 19851, \"source\": 4, \"target\": 6}, {\"weight\": 3287, \"source\": 4, \"target\": 5}, {\"weight\": 12696, \"source\": 4, \"target\": 7}, {\"weight\": 5185, \"source\": 5, \"target\": 8}, {\"weight\": 18594, \"source\": 5, \"target\": 6}, {\"weight\": 12317, \"source\": 5, \"target\": 7}, {\"weight\": 19667, \"source\": 6, \"target\": 8}, {\"weight\": 8683, \"source\": 6, \"target\": 7}, {\"weight\": 14572, \"source\": 7, \"target\": 8}]}", "id": 631, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PCL, PIN, TAO, AIT, RIA, OIA, HUN, URY, RIB\n- Travel distances (in kilometers) between each pair of airports:\nPCL to TAO: 16791\nPCL to RIB: 2414\nPCL to PIN: 5004\nPCL to RIA: 4074\nPCL to HUN: 17901\nPCL to AIT: 12356\nPCL to OIA: 6233\nPCL to URY: 15597\nPIN to TAO: 17150\nPIN to RIB: 5979\nPIN to RIA: 4103\nPIN to HUN: 18294\nPIN to AIT: 15079\nPIN to OIA: 2350\nPIN to URY: 13493\nTAO to RIB: 18696\nTAO to RIA: 19222\nTAO to HUN: 1368\nTAO to AIT: 12645\nTAO to OIA: 17354\nTAO to URY: 8325\nAIT to RIB: 12167\nAIT to RIA: 11645\nAIT to HUN: 12616\nAIT to OIA: 14285\nAIT to URY: 19276\nRIA to RIB: 4027\nRIA to HUN: 19851\nRIA to OIA: 3287\nRIA to URY: 12696\nOIA to RIB: 5185\nOIA to HUN: 18594\nOIA to URY: 12317\nHUN to RIB: 19667\nHUN to URY: 8683\nURY to RIB: 14572\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: AAL, BTU, PYH, GDQ, MQT, AGX, EAS, STS, JUK\n- Travel distances (in kilometers) between each pair of airports:\nAAL to STS: 8711\nAAL to MQT: 6980\nAAL to AGX: 8254\nAAL to BTU: 11043\nAAL to GDQ: 6329\nAAL to JUK: 4109\nAAL to EAS: 2233\nAAL to PYH: 9039\nBTU to STS: 13120\nBTU to MQT: 15126\nBTU to AGX: 4636\nBTU to GDQ: 9135\nBTU to JUK: 14749\nBTU to EAS: 12253\nBTU to PYH: 19162\nPYH to STS: 7055\nPYH to MQT: 5005\nPYH to AGX: 16448\nPYH to GDQ: 13751\nPYH to JUK: 10192\nPYH to EAS: 7918\nGDQ to STS: 14951\nGDQ to MQT: 12826\nGDQ to AGX: 5787\nGDQ to JUK: 10008\nGDQ to EAS: 6139\nMQT to STS: 3932\nMQT to AGX: 14980\nMQT to JUK: 7277\nMQT to EAS: 7337\nAGX to STS: 15632\nAGX to JUK: 11933\nAGX to EAS: 8816\nEAS to STS: 10188\nEAS to JUK: 5586\nSTS to JUK: 9008\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 55153, "style": "rule" }
{ "exact_answer": 55153, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"AAL\", \"id\": 0}, {\"name\": \"BTU\", \"id\": 1}, {\"name\": \"PYH\", \"id\": 2}, {\"name\": \"GDQ\", \"id\": 3}, {\"name\": \"MQT\", \"id\": 4}, {\"name\": \"AGX\", \"id\": 5}, {\"name\": \"EAS\", \"id\": 6}, {\"name\": \"STS\", \"id\": 7}, {\"name\": \"JUK\", \"id\": 8}], \"links\": [{\"weight\": 8711, \"source\": 0, \"target\": 7}, {\"weight\": 6980, \"source\": 0, \"target\": 4}, {\"weight\": 8254, \"source\": 0, \"target\": 5}, {\"weight\": 11043, \"source\": 0, \"target\": 1}, {\"weight\": 6329, \"source\": 0, \"target\": 3}, {\"weight\": 4109, \"source\": 0, \"target\": 8}, {\"weight\": 2233, \"source\": 0, \"target\": 6}, {\"weight\": 9039, \"source\": 0, \"target\": 2}, {\"weight\": 13120, \"source\": 1, \"target\": 7}, {\"weight\": 15126, \"source\": 1, \"target\": 4}, {\"weight\": 4636, \"source\": 1, \"target\": 5}, {\"weight\": 9135, \"source\": 1, \"target\": 3}, {\"weight\": 14749, \"source\": 1, \"target\": 8}, {\"weight\": 12253, \"source\": 1, \"target\": 6}, {\"weight\": 19162, \"source\": 1, \"target\": 2}, {\"weight\": 7055, \"source\": 2, \"target\": 7}, {\"weight\": 5005, \"source\": 2, \"target\": 4}, {\"weight\": 16448, \"source\": 2, \"target\": 5}, {\"weight\": 13751, \"source\": 2, \"target\": 3}, {\"weight\": 10192, \"source\": 2, \"target\": 8}, {\"weight\": 7918, \"source\": 2, \"target\": 6}, {\"weight\": 14951, \"source\": 3, \"target\": 7}, {\"weight\": 12826, \"source\": 3, \"target\": 4}, {\"weight\": 5787, \"source\": 3, \"target\": 5}, {\"weight\": 10008, \"source\": 3, \"target\": 8}, {\"weight\": 6139, \"source\": 3, \"target\": 6}, {\"weight\": 3932, \"source\": 4, \"target\": 7}, {\"weight\": 14980, \"source\": 4, \"target\": 5}, {\"weight\": 7277, \"source\": 4, \"target\": 8}, {\"weight\": 7337, \"source\": 4, \"target\": 6}, {\"weight\": 15632, \"source\": 5, \"target\": 7}, {\"weight\": 11933, \"source\": 5, \"target\": 8}, {\"weight\": 8816, \"source\": 5, \"target\": 6}, {\"weight\": 10188, \"source\": 6, \"target\": 7}, {\"weight\": 5586, \"source\": 6, \"target\": 8}, {\"weight\": 9008, \"source\": 7, \"target\": 8}]}", "id": 632, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: AAL, BTU, PYH, GDQ, MQT, AGX, EAS, STS, JUK\n- Travel distances (in kilometers) between each pair of airports:\nAAL to STS: 8711\nAAL to MQT: 6980\nAAL to AGX: 8254\nAAL to BTU: 11043\nAAL to GDQ: 6329\nAAL to JUK: 4109\nAAL to EAS: 2233\nAAL to PYH: 9039\nBTU to STS: 13120\nBTU to MQT: 15126\nBTU to AGX: 4636\nBTU to GDQ: 9135\nBTU to JUK: 14749\nBTU to EAS: 12253\nBTU to PYH: 19162\nPYH to STS: 7055\nPYH to MQT: 5005\nPYH to AGX: 16448\nPYH to GDQ: 13751\nPYH to JUK: 10192\nPYH to EAS: 7918\nGDQ to STS: 14951\nGDQ to MQT: 12826\nGDQ to AGX: 5787\nGDQ to JUK: 10008\nGDQ to EAS: 6139\nMQT to STS: 3932\nMQT to AGX: 14980\nMQT to JUK: 7277\nMQT to EAS: 7337\nAGX to STS: 15632\nAGX to JUK: 11933\nAGX to EAS: 8816\nEAS to STS: 10188\nEAS to JUK: 5586\nSTS to JUK: 9008\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: NDR, MQP, CAI, DMU, GVA, BUA, CUK, HIJ, ZKG\n- Travel distances (in kilometers) between each pair of airports:\nNDR to GVA: 1468\nNDR to CAI: 3738\nNDR to CUK: 9021\nNDR to DMU: 9466\nNDR to HIJ: 11094\nNDR to BUA: 16888\nNDR to MQP: 8375\nNDR to ZKG: 6576\nMQP to GVA: 8944\nMQP to CAI: 6561\nMQP to CUK: 14260\nMQP to DMU: 9573\nMQP to HIJ: 13260\nMQP to BUA: 13816\nMQP to ZKG: 13970\nCAI to GVA: 2825\nCAI to CUK: 11722\nCAI to DMU: 6377\nCAI to HIJ: 9103\nCAI to BUA: 14115\nCAI to ZKG: 8130\nDMU to GVA: 8321\nDMU to CUK: 16667\nDMU to HIJ: 5211\nDMU to BUA: 9258\nDMU to ZKG: 13287\nGVA to CUK: 9049\nGVA to HIJ: 9645\nGVA to BUA: 15505\nGVA to ZKG: 5351\nBUA to CUK: 16753\nBUA to HIJ: 6706\nBUA to ZKG: 17932\nCUK to HIJ: 12954\nCUK to ZKG: 4529\nHIJ to ZKG: 12614\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 59890, "style": "rule" }
{ "exact_answer": 59890, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"NDR\", \"id\": 0}, {\"name\": \"MQP\", \"id\": 1}, {\"name\": \"CAI\", \"id\": 2}, {\"name\": \"DMU\", \"id\": 3}, {\"name\": \"GVA\", \"id\": 4}, {\"name\": \"BUA\", \"id\": 5}, {\"name\": \"CUK\", \"id\": 6}, {\"name\": \"HIJ\", \"id\": 7}, {\"name\": \"ZKG\", \"id\": 8}], \"links\": [{\"weight\": 1468, \"source\": 0, \"target\": 4}, {\"weight\": 3738, \"source\": 0, \"target\": 2}, {\"weight\": 9021, \"source\": 0, \"target\": 6}, {\"weight\": 9466, \"source\": 0, \"target\": 3}, {\"weight\": 11094, \"source\": 0, \"target\": 7}, {\"weight\": 16888, \"source\": 0, \"target\": 5}, {\"weight\": 8375, \"source\": 0, \"target\": 1}, {\"weight\": 6576, \"source\": 0, \"target\": 8}, {\"weight\": 8944, \"source\": 1, \"target\": 4}, {\"weight\": 6561, \"source\": 1, \"target\": 2}, {\"weight\": 14260, \"source\": 1, \"target\": 6}, {\"weight\": 9573, \"source\": 1, \"target\": 3}, {\"weight\": 13260, \"source\": 1, \"target\": 7}, {\"weight\": 13816, \"source\": 1, \"target\": 5}, {\"weight\": 13970, \"source\": 1, \"target\": 8}, {\"weight\": 2825, \"source\": 2, \"target\": 4}, {\"weight\": 11722, \"source\": 2, \"target\": 6}, {\"weight\": 6377, \"source\": 2, \"target\": 3}, {\"weight\": 9103, \"source\": 2, \"target\": 7}, {\"weight\": 14115, \"source\": 2, \"target\": 5}, {\"weight\": 8130, \"source\": 2, \"target\": 8}, {\"weight\": 8321, \"source\": 3, \"target\": 4}, {\"weight\": 16667, \"source\": 3, \"target\": 6}, {\"weight\": 5211, \"source\": 3, \"target\": 7}, {\"weight\": 9258, \"source\": 3, \"target\": 5}, {\"weight\": 13287, \"source\": 3, \"target\": 8}, {\"weight\": 9049, \"source\": 4, \"target\": 6}, {\"weight\": 9645, \"source\": 4, \"target\": 7}, {\"weight\": 15505, \"source\": 4, \"target\": 5}, {\"weight\": 5351, \"source\": 4, \"target\": 8}, {\"weight\": 16753, \"source\": 5, \"target\": 6}, {\"weight\": 6706, \"source\": 5, \"target\": 7}, {\"weight\": 17932, \"source\": 5, \"target\": 8}, {\"weight\": 12954, \"source\": 6, \"target\": 7}, {\"weight\": 4529, \"source\": 6, \"target\": 8}, {\"weight\": 12614, \"source\": 7, \"target\": 8}]}", "id": 633, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: NDR, MQP, CAI, DMU, GVA, BUA, CUK, HIJ, ZKG\n- Travel distances (in kilometers) between each pair of airports:\nNDR to GVA: 1468\nNDR to CAI: 3738\nNDR to CUK: 9021\nNDR to DMU: 9466\nNDR to HIJ: 11094\nNDR to BUA: 16888\nNDR to MQP: 8375\nNDR to ZKG: 6576\nMQP to GVA: 8944\nMQP to CAI: 6561\nMQP to CUK: 14260\nMQP to DMU: 9573\nMQP to HIJ: 13260\nMQP to BUA: 13816\nMQP to ZKG: 13970\nCAI to GVA: 2825\nCAI to CUK: 11722\nCAI to DMU: 6377\nCAI to HIJ: 9103\nCAI to BUA: 14115\nCAI to ZKG: 8130\nDMU to GVA: 8321\nDMU to CUK: 16667\nDMU to HIJ: 5211\nDMU to BUA: 9258\nDMU to ZKG: 13287\nGVA to CUK: 9049\nGVA to HIJ: 9645\nGVA to BUA: 15505\nGVA to ZKG: 5351\nBUA to CUK: 16753\nBUA to HIJ: 6706\nBUA to ZKG: 17932\nCUK to HIJ: 12954\nCUK to ZKG: 4529\nHIJ to ZKG: 12614\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: RSD, IAM, MYW, SCT, JTR, KZR, ULZ, PNH, ASM\n- Travel distances (in kilometers) between each pair of airports:\nRSD to PNH: 16137\nRSD to JTR: 9750\nRSD to IAM: 9355\nRSD to SCT: 13693\nRSD to ASM: 12456\nRSD to ULZ: 14667\nRSD to MYW: 15008\nRSD to KZR: 9850\nIAM to PNH: 11043\nIAM to JTR: 3247\nIAM to SCT: 6851\nIAM to ASM: 5667\nIAM to ULZ: 9767\nIAM to MYW: 8445\nIAM to KZR: 3272\nMYW to PNH: 8794\nMYW to JTR: 5921\nMYW to SCT: 3964\nMYW to ASM: 2924\nMYW to ULZ: 10305\nMYW to KZR: 6121\nSCT to PNH: 7227\nSCT to JTR: 4380\nSCT to ASM: 1669\nSCT to ULZ: 7799\nSCT to KZR: 4526\nJTR to PNH: 8663\nJTR to ASM: 3143\nJTR to ULZ: 7774\nJTR to KZR: 1014\nKZR to PNH: 8309\nKZR to ASM: 3343\nKZR to ULZ: 7317\nULZ to PNH: 5083\nULZ to ASM: 8088\nPNH to ASM: 7168\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 50649, "style": "rule" }
{ "exact_answer": 50649, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"RSD\", \"id\": 0}, {\"name\": \"IAM\", \"id\": 1}, {\"name\": \"MYW\", \"id\": 2}, {\"name\": \"SCT\", \"id\": 3}, {\"name\": \"JTR\", \"id\": 4}, {\"name\": \"KZR\", \"id\": 5}, {\"name\": \"ULZ\", \"id\": 6}, {\"name\": \"PNH\", \"id\": 7}, {\"name\": \"ASM\", \"id\": 8}], \"links\": [{\"weight\": 16137, \"source\": 0, \"target\": 7}, {\"weight\": 9750, \"source\": 0, \"target\": 4}, {\"weight\": 9355, \"source\": 0, \"target\": 1}, {\"weight\": 13693, \"source\": 0, \"target\": 3}, {\"weight\": 12456, \"source\": 0, \"target\": 8}, {\"weight\": 14667, \"source\": 0, \"target\": 6}, {\"weight\": 15008, \"source\": 0, \"target\": 2}, {\"weight\": 9850, \"source\": 0, \"target\": 5}, {\"weight\": 11043, \"source\": 1, \"target\": 7}, {\"weight\": 3247, \"source\": 1, \"target\": 4}, {\"weight\": 6851, \"source\": 1, \"target\": 3}, {\"weight\": 5667, \"source\": 1, \"target\": 8}, {\"weight\": 9767, \"source\": 1, \"target\": 6}, {\"weight\": 8445, \"source\": 1, \"target\": 2}, {\"weight\": 3272, \"source\": 1, \"target\": 5}, {\"weight\": 8794, \"source\": 2, \"target\": 7}, {\"weight\": 5921, \"source\": 2, \"target\": 4}, {\"weight\": 3964, \"source\": 2, \"target\": 3}, {\"weight\": 2924, \"source\": 2, \"target\": 8}, {\"weight\": 10305, \"source\": 2, \"target\": 6}, {\"weight\": 6121, \"source\": 2, \"target\": 5}, {\"weight\": 7227, \"source\": 3, \"target\": 7}, {\"weight\": 4380, \"source\": 3, \"target\": 4}, {\"weight\": 1669, \"source\": 3, \"target\": 8}, {\"weight\": 7799, \"source\": 3, \"target\": 6}, {\"weight\": 4526, \"source\": 3, \"target\": 5}, {\"weight\": 8663, \"source\": 4, \"target\": 7}, {\"weight\": 3143, \"source\": 4, \"target\": 8}, {\"weight\": 7774, \"source\": 4, \"target\": 6}, {\"weight\": 1014, \"source\": 4, \"target\": 5}, {\"weight\": 8309, \"source\": 5, \"target\": 7}, {\"weight\": 3343, \"source\": 5, \"target\": 8}, {\"weight\": 7317, \"source\": 5, \"target\": 6}, {\"weight\": 5083, \"source\": 6, \"target\": 7}, {\"weight\": 8088, \"source\": 6, \"target\": 8}, {\"weight\": 7168, \"source\": 7, \"target\": 8}]}", "id": 634, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: RSD, IAM, MYW, SCT, JTR, KZR, ULZ, PNH, ASM\n- Travel distances (in kilometers) between each pair of airports:\nRSD to PNH: 16137\nRSD to JTR: 9750\nRSD to IAM: 9355\nRSD to SCT: 13693\nRSD to ASM: 12456\nRSD to ULZ: 14667\nRSD to MYW: 15008\nRSD to KZR: 9850\nIAM to PNH: 11043\nIAM to JTR: 3247\nIAM to SCT: 6851\nIAM to ASM: 5667\nIAM to ULZ: 9767\nIAM to MYW: 8445\nIAM to KZR: 3272\nMYW to PNH: 8794\nMYW to JTR: 5921\nMYW to SCT: 3964\nMYW to ASM: 2924\nMYW to ULZ: 10305\nMYW to KZR: 6121\nSCT to PNH: 7227\nSCT to JTR: 4380\nSCT to ASM: 1669\nSCT to ULZ: 7799\nSCT to KZR: 4526\nJTR to PNH: 8663\nJTR to ASM: 3143\nJTR to ULZ: 7774\nJTR to KZR: 1014\nKZR to PNH: 8309\nKZR to ASM: 3343\nKZR to ULZ: 7317\nULZ to PNH: 5083\nULZ to ASM: 8088\nPNH to ASM: 7168\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: KCM, EAE, BPL, LAZ, AZR, VDE, GDE, VCA, TUS\n- Travel distances (in kilometers) between each pair of airports:\nKCM to TUS: 11689\nKCM to LAZ: 10932\nKCM to AZR: 3934\nKCM to GDE: 4540\nKCM to BPL: 5414\nKCM to EAE: 16069\nKCM to VDE: 5268\nKCM to VCA: 8760\nEAE to TUS: 10648\nEAE to LAZ: 16506\nEAE to AZR: 18952\nEAE to GDE: 15872\nEAE to BPL: 11671\nEAE to VDE: 19705\nEAE to VCA: 8720\nBPL to TUS: 13509\nBPL to LAZ: 15074\nBPL to AZR: 8284\nBPL to GDE: 6790\nBPL to VDE: 9528\nBPL to VCA: 4808\nLAZ to TUS: 9860\nLAZ to AZR: 8379\nLAZ to GDE: 11854\nLAZ to VDE: 6141\nLAZ to VCA: 18533\nAZR to TUS: 10517\nAZR to GDE: 6822\nAZR to VDE: 2715\nAZR to VCA: 11776\nVDE to TUS: 9297\nVDE to GDE: 7859\nVDE to VCA: 13117\nGDE to TUS: 15197\nGDE to VCA: 8433\nVCA to TUS: 14175\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 58156, "style": "rule" }
{ "exact_answer": 58156, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"KCM\", \"id\": 0}, {\"name\": \"EAE\", \"id\": 1}, {\"name\": \"BPL\", \"id\": 2}, {\"name\": \"LAZ\", \"id\": 3}, {\"name\": \"AZR\", \"id\": 4}, {\"name\": \"VDE\", \"id\": 5}, {\"name\": \"GDE\", \"id\": 6}, {\"name\": \"VCA\", \"id\": 7}, {\"name\": \"TUS\", \"id\": 8}], \"links\": [{\"weight\": 11689, \"source\": 0, \"target\": 8}, {\"weight\": 10932, \"source\": 0, \"target\": 3}, {\"weight\": 3934, \"source\": 0, \"target\": 4}, {\"weight\": 4540, \"source\": 0, \"target\": 6}, {\"weight\": 5414, \"source\": 0, \"target\": 2}, {\"weight\": 16069, \"source\": 0, \"target\": 1}, {\"weight\": 5268, \"source\": 0, \"target\": 5}, {\"weight\": 8760, \"source\": 0, \"target\": 7}, {\"weight\": 10648, \"source\": 1, \"target\": 8}, {\"weight\": 16506, \"source\": 1, \"target\": 3}, {\"weight\": 18952, \"source\": 1, \"target\": 4}, {\"weight\": 15872, \"source\": 1, \"target\": 6}, {\"weight\": 11671, \"source\": 1, \"target\": 2}, {\"weight\": 19705, \"source\": 1, \"target\": 5}, {\"weight\": 8720, \"source\": 1, \"target\": 7}, {\"weight\": 13509, \"source\": 2, \"target\": 8}, {\"weight\": 15074, \"source\": 2, \"target\": 3}, {\"weight\": 8284, \"source\": 2, \"target\": 4}, {\"weight\": 6790, \"source\": 2, \"target\": 6}, {\"weight\": 9528, \"source\": 2, \"target\": 5}, {\"weight\": 4808, \"source\": 2, \"target\": 7}, {\"weight\": 9860, \"source\": 3, \"target\": 8}, {\"weight\": 8379, \"source\": 3, \"target\": 4}, {\"weight\": 11854, \"source\": 3, \"target\": 6}, {\"weight\": 6141, \"source\": 3, \"target\": 5}, {\"weight\": 18533, \"source\": 3, \"target\": 7}, {\"weight\": 10517, \"source\": 4, \"target\": 8}, {\"weight\": 6822, \"source\": 4, \"target\": 6}, {\"weight\": 2715, \"source\": 4, \"target\": 5}, {\"weight\": 11776, \"source\": 4, \"target\": 7}, {\"weight\": 9297, \"source\": 5, \"target\": 8}, {\"weight\": 7859, \"source\": 5, \"target\": 6}, {\"weight\": 13117, \"source\": 5, \"target\": 7}, {\"weight\": 15197, \"source\": 6, \"target\": 8}, {\"weight\": 8433, \"source\": 6, \"target\": 7}, {\"weight\": 14175, \"source\": 7, \"target\": 8}]}", "id": 635, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: KCM, EAE, BPL, LAZ, AZR, VDE, GDE, VCA, TUS\n- Travel distances (in kilometers) between each pair of airports:\nKCM to TUS: 11689\nKCM to LAZ: 10932\nKCM to AZR: 3934\nKCM to GDE: 4540\nKCM to BPL: 5414\nKCM to EAE: 16069\nKCM to VDE: 5268\nKCM to VCA: 8760\nEAE to TUS: 10648\nEAE to LAZ: 16506\nEAE to AZR: 18952\nEAE to GDE: 15872\nEAE to BPL: 11671\nEAE to VDE: 19705\nEAE to VCA: 8720\nBPL to TUS: 13509\nBPL to LAZ: 15074\nBPL to AZR: 8284\nBPL to GDE: 6790\nBPL to VDE: 9528\nBPL to VCA: 4808\nLAZ to TUS: 9860\nLAZ to AZR: 8379\nLAZ to GDE: 11854\nLAZ to VDE: 6141\nLAZ to VCA: 18533\nAZR to TUS: 10517\nAZR to GDE: 6822\nAZR to VDE: 2715\nAZR to VCA: 11776\nVDE to TUS: 9297\nVDE to GDE: 7859\nVDE to VCA: 13117\nGDE to TUS: 15197\nGDE to VCA: 8433\nVCA to TUS: 14175\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: AAX, FLG, OVB, PIX, AQP, SZE, ZNE, ALC, KGX\n- Travel distances (in kilometers) between each pair of airports:\nAAX to OVB: 14459\nAAX to KGX: 14004\nAAX to AQP: 3546\nAAX to FLG: 10127\nAAX to ALC: 8446\nAAX to SZE: 10989\nAAX to ZNE: 17561\nAAX to PIX: 8439\nFLG to OVB: 12726\nFLG to KGX: 4954\nFLG to AQP: 7218\nFLG to ALC: 9604\nFLG to SZE: 14913\nFLG to ZNE: 16944\nFLG to PIX: 7973\nOVB to KGX: 14637\nOVB to AQP: 16046\nOVB to ALC: 6214\nOVB to SZE: 6845\nOVB to ZNE: 11199\nOVB to PIX: 7954\nPIX to KGX: 10559\nPIX to AQP: 10433\nPIX to ALC: 2500\nPIX to SZE: 8266\nPIX to ZNE: 17815\nAQP to KGX: 11739\nAQP to ALC: 10183\nAQP to SZE: 13082\nAQP to ZNE: 17921\nSZE to KGX: 16871\nSZE to ALC: 5893\nSZE to ZNE: 11504\nZNE to KGX: 17313\nZNE to ALC: 15455\nALC to KGX: 12005\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 67907, "style": "rule" }
{ "exact_answer": 67907, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"AAX\", \"id\": 0}, {\"name\": \"FLG\", \"id\": 1}, {\"name\": \"OVB\", \"id\": 2}, {\"name\": \"PIX\", \"id\": 3}, {\"name\": \"AQP\", \"id\": 4}, {\"name\": \"SZE\", \"id\": 5}, {\"name\": \"ZNE\", \"id\": 6}, {\"name\": \"ALC\", \"id\": 7}, {\"name\": \"KGX\", \"id\": 8}], \"links\": [{\"weight\": 14459, \"source\": 0, \"target\": 2}, {\"weight\": 14004, \"source\": 0, \"target\": 8}, {\"weight\": 3546, \"source\": 0, \"target\": 4}, {\"weight\": 10127, \"source\": 0, \"target\": 1}, {\"weight\": 8446, \"source\": 0, \"target\": 7}, {\"weight\": 10989, \"source\": 0, \"target\": 5}, {\"weight\": 17561, \"source\": 0, \"target\": 6}, {\"weight\": 8439, \"source\": 0, \"target\": 3}, {\"weight\": 12726, \"source\": 1, \"target\": 2}, {\"weight\": 4954, \"source\": 1, \"target\": 8}, {\"weight\": 7218, \"source\": 1, \"target\": 4}, {\"weight\": 9604, \"source\": 1, \"target\": 7}, {\"weight\": 14913, \"source\": 1, \"target\": 5}, {\"weight\": 16944, \"source\": 1, \"target\": 6}, {\"weight\": 7973, \"source\": 1, \"target\": 3}, {\"weight\": 14637, \"source\": 2, \"target\": 8}, {\"weight\": 16046, \"source\": 2, \"target\": 4}, {\"weight\": 6214, \"source\": 2, \"target\": 7}, {\"weight\": 6845, \"source\": 2, \"target\": 5}, {\"weight\": 11199, \"source\": 2, \"target\": 6}, {\"weight\": 7954, \"source\": 2, \"target\": 3}, {\"weight\": 10559, \"source\": 3, \"target\": 8}, {\"weight\": 10433, \"source\": 3, \"target\": 4}, {\"weight\": 2500, \"source\": 3, \"target\": 7}, {\"weight\": 8266, \"source\": 3, \"target\": 5}, {\"weight\": 17815, \"source\": 3, \"target\": 6}, {\"weight\": 11739, \"source\": 4, \"target\": 8}, {\"weight\": 10183, \"source\": 4, \"target\": 7}, {\"weight\": 13082, \"source\": 4, \"target\": 5}, {\"weight\": 17921, \"source\": 4, \"target\": 6}, {\"weight\": 16871, \"source\": 5, \"target\": 8}, {\"weight\": 5893, \"source\": 5, \"target\": 7}, {\"weight\": 11504, \"source\": 5, \"target\": 6}, {\"weight\": 17313, \"source\": 6, \"target\": 8}, {\"weight\": 15455, \"source\": 6, \"target\": 7}, {\"weight\": 12005, \"source\": 7, \"target\": 8}]}", "id": 636, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: AAX, FLG, OVB, PIX, AQP, SZE, ZNE, ALC, KGX\n- Travel distances (in kilometers) between each pair of airports:\nAAX to OVB: 14459\nAAX to KGX: 14004\nAAX to AQP: 3546\nAAX to FLG: 10127\nAAX to ALC: 8446\nAAX to SZE: 10989\nAAX to ZNE: 17561\nAAX to PIX: 8439\nFLG to OVB: 12726\nFLG to KGX: 4954\nFLG to AQP: 7218\nFLG to ALC: 9604\nFLG to SZE: 14913\nFLG to ZNE: 16944\nFLG to PIX: 7973\nOVB to KGX: 14637\nOVB to AQP: 16046\nOVB to ALC: 6214\nOVB to SZE: 6845\nOVB to ZNE: 11199\nOVB to PIX: 7954\nPIX to KGX: 10559\nPIX to AQP: 10433\nPIX to ALC: 2500\nPIX to SZE: 8266\nPIX to ZNE: 17815\nAQP to KGX: 11739\nAQP to ALC: 10183\nAQP to SZE: 13082\nAQP to ZNE: 17921\nSZE to KGX: 16871\nSZE to ALC: 5893\nSZE to ZNE: 11504\nZNE to KGX: 17313\nZNE to ALC: 15455\nALC to KGX: 12005\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: DLM, LYG, WRL, BGG, JIC, UME, OMH, LKO, EWN\n- Travel distances (in kilometers) between each pair of airports:\nDLM to LKO: 5428\nDLM to EWN: 9582\nDLM to UME: 3151\nDLM to LYG: 8151\nDLM to OMH: 3176\nDLM to WRL: 10816\nDLM to JIC: 7112\nDLM to BGG: 1456\nLYG to LKO: 4311\nLYG to EWN: 12463\nLYG to UME: 7825\nLYG to OMH: 6816\nLYG to WRL: 11209\nLYG to JIC: 1881\nLYG to BGG: 8142\nWRL to LKO: 14363\nWRL to EWN: 3050\nWRL to UME: 8892\nWRL to OMH: 13041\nWRL to JIC: 12283\nWRL to BGG: 11442\nBGG to LKO: 5319\nBGG to EWN: 10270\nBGG to UME: 3694\nBGG to OMH: 3653\nBGG to JIC: 7103\nJIC to LKO: 3500\nJIC to EWN: 13304\nJIC to UME: 7336\nJIC to OMH: 5777\nUME to LKO: 6480\nUME to EWN: 7983\nUME to OMH: 5101\nOMH to LKO: 3639\nOMH to EWN: 11917\nLKO to EWN: 13387\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 39522, "style": "rule" }
{ "exact_answer": 39522, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"DLM\", \"id\": 0}, {\"name\": \"LYG\", \"id\": 1}, {\"name\": \"WRL\", \"id\": 2}, {\"name\": \"BGG\", \"id\": 3}, {\"name\": \"JIC\", \"id\": 4}, {\"name\": \"UME\", \"id\": 5}, {\"name\": \"OMH\", \"id\": 6}, {\"name\": \"LKO\", \"id\": 7}, {\"name\": \"EWN\", \"id\": 8}], \"links\": [{\"weight\": 5428, \"source\": 0, \"target\": 7}, {\"weight\": 9582, \"source\": 0, \"target\": 8}, {\"weight\": 3151, \"source\": 0, \"target\": 5}, {\"weight\": 8151, \"source\": 0, \"target\": 1}, {\"weight\": 3176, \"source\": 0, \"target\": 6}, {\"weight\": 10816, \"source\": 0, \"target\": 2}, {\"weight\": 7112, \"source\": 0, \"target\": 4}, {\"weight\": 1456, \"source\": 0, \"target\": 3}, {\"weight\": 4311, \"source\": 1, \"target\": 7}, {\"weight\": 12463, \"source\": 1, \"target\": 8}, {\"weight\": 7825, \"source\": 1, \"target\": 5}, {\"weight\": 6816, \"source\": 1, \"target\": 6}, {\"weight\": 11209, \"source\": 1, \"target\": 2}, {\"weight\": 1881, \"source\": 1, \"target\": 4}, {\"weight\": 8142, \"source\": 1, \"target\": 3}, {\"weight\": 14363, \"source\": 2, \"target\": 7}, {\"weight\": 3050, \"source\": 2, \"target\": 8}, {\"weight\": 8892, \"source\": 2, \"target\": 5}, {\"weight\": 13041, \"source\": 2, \"target\": 6}, {\"weight\": 12283, \"source\": 2, \"target\": 4}, {\"weight\": 11442, \"source\": 2, \"target\": 3}, {\"weight\": 5319, \"source\": 3, \"target\": 7}, {\"weight\": 10270, \"source\": 3, \"target\": 8}, {\"weight\": 3694, \"source\": 3, \"target\": 5}, {\"weight\": 3653, \"source\": 3, \"target\": 6}, {\"weight\": 7103, \"source\": 3, \"target\": 4}, {\"weight\": 3500, \"source\": 4, \"target\": 7}, {\"weight\": 13304, \"source\": 4, \"target\": 8}, {\"weight\": 7336, \"source\": 4, \"target\": 5}, {\"weight\": 5777, \"source\": 4, \"target\": 6}, {\"weight\": 6480, \"source\": 5, \"target\": 7}, {\"weight\": 7983, \"source\": 5, \"target\": 8}, {\"weight\": 5101, \"source\": 5, \"target\": 6}, {\"weight\": 3639, \"source\": 6, \"target\": 7}, {\"weight\": 11917, \"source\": 6, \"target\": 8}, {\"weight\": 13387, \"source\": 7, \"target\": 8}]}", "id": 637, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: DLM, LYG, WRL, BGG, JIC, UME, OMH, LKO, EWN\n- Travel distances (in kilometers) between each pair of airports:\nDLM to LKO: 5428\nDLM to EWN: 9582\nDLM to UME: 3151\nDLM to LYG: 8151\nDLM to OMH: 3176\nDLM to WRL: 10816\nDLM to JIC: 7112\nDLM to BGG: 1456\nLYG to LKO: 4311\nLYG to EWN: 12463\nLYG to UME: 7825\nLYG to OMH: 6816\nLYG to WRL: 11209\nLYG to JIC: 1881\nLYG to BGG: 8142\nWRL to LKO: 14363\nWRL to EWN: 3050\nWRL to UME: 8892\nWRL to OMH: 13041\nWRL to JIC: 12283\nWRL to BGG: 11442\nBGG to LKO: 5319\nBGG to EWN: 10270\nBGG to UME: 3694\nBGG to OMH: 3653\nBGG to JIC: 7103\nJIC to LKO: 3500\nJIC to EWN: 13304\nJIC to UME: 7336\nJIC to OMH: 5777\nUME to LKO: 6480\nUME to EWN: 7983\nUME to OMH: 5101\nOMH to LKO: 3639\nOMH to EWN: 11917\nLKO to EWN: 13387\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: YBC, FOE, PCL, ARK, JAI, CTL, XFN, MUE, YZT\n- Travel distances (in kilometers) between each pair of airports:\nYBC to PCL: 6727\nYBC to JAI: 12196\nYBC to YZT: 4604\nYBC to XFN: 12605\nYBC to MUE: 8535\nYBC to ARK: 13102\nYBC to CTL: 16741\nYBC to FOE: 2502\nFOE to PCL: 6599\nFOE to JAI: 12990\nFOE to YZT: 3909\nFOE to XFN: 12260\nFOE to MUE: 7587\nFOE to ARK: 14923\nFOE to CTL: 15759\nPCL to JAI: 17510\nPCL to YZT: 8475\nPCL to XFN: 17385\nPCL to MUE: 11060\nPCL to ARK: 14248\nPCL to CTL: 15580\nARK to JAI: 6131\nARK to YZT: 15746\nARK to XFN: 9774\nARK to MUE: 18471\nARK to CTL: 13242\nJAI to YZT: 12873\nJAI to XFN: 3740\nJAI to MUE: 12459\nJAI to CTL: 10227\nCTL to YZT: 12934\nCTL to XFN: 7988\nCTL to MUE: 8528\nXFN to YZT: 9794\nXFN to MUE: 9108\nMUE to YZT: 4769\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 58542, "style": "rule" }
{ "exact_answer": 58542, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"YBC\", \"id\": 0}, {\"name\": \"FOE\", \"id\": 1}, {\"name\": \"PCL\", \"id\": 2}, {\"name\": \"ARK\", \"id\": 3}, {\"name\": \"JAI\", \"id\": 4}, {\"name\": \"CTL\", \"id\": 5}, {\"name\": \"XFN\", \"id\": 6}, {\"name\": \"MUE\", \"id\": 7}, {\"name\": \"YZT\", \"id\": 8}], \"links\": [{\"weight\": 6727, \"source\": 0, \"target\": 2}, {\"weight\": 12196, \"source\": 0, \"target\": 4}, {\"weight\": 4604, \"source\": 0, \"target\": 8}, {\"weight\": 12605, \"source\": 0, \"target\": 6}, {\"weight\": 8535, \"source\": 0, \"target\": 7}, {\"weight\": 13102, \"source\": 0, \"target\": 3}, {\"weight\": 16741, \"source\": 0, \"target\": 5}, {\"weight\": 2502, \"source\": 0, \"target\": 1}, {\"weight\": 6599, \"source\": 1, \"target\": 2}, {\"weight\": 12990, \"source\": 1, \"target\": 4}, {\"weight\": 3909, \"source\": 1, \"target\": 8}, {\"weight\": 12260, \"source\": 1, \"target\": 6}, {\"weight\": 7587, \"source\": 1, \"target\": 7}, {\"weight\": 14923, \"source\": 1, \"target\": 3}, {\"weight\": 15759, \"source\": 1, \"target\": 5}, {\"weight\": 17510, \"source\": 2, \"target\": 4}, {\"weight\": 8475, \"source\": 2, \"target\": 8}, {\"weight\": 17385, \"source\": 2, \"target\": 6}, {\"weight\": 11060, \"source\": 2, \"target\": 7}, {\"weight\": 14248, \"source\": 2, \"target\": 3}, {\"weight\": 15580, \"source\": 2, \"target\": 5}, {\"weight\": 6131, \"source\": 3, \"target\": 4}, {\"weight\": 15746, \"source\": 3, \"target\": 8}, {\"weight\": 9774, \"source\": 3, \"target\": 6}, {\"weight\": 18471, \"source\": 3, \"target\": 7}, {\"weight\": 13242, \"source\": 3, \"target\": 5}, {\"weight\": 12873, \"source\": 4, \"target\": 8}, {\"weight\": 3740, \"source\": 4, \"target\": 6}, {\"weight\": 12459, \"source\": 4, \"target\": 7}, {\"weight\": 10227, \"source\": 4, \"target\": 5}, {\"weight\": 12934, \"source\": 5, \"target\": 8}, {\"weight\": 7988, \"source\": 5, \"target\": 6}, {\"weight\": 8528, \"source\": 5, \"target\": 7}, {\"weight\": 9794, \"source\": 6, \"target\": 8}, {\"weight\": 9108, \"source\": 6, \"target\": 7}, {\"weight\": 4769, \"source\": 7, \"target\": 8}]}", "id": 638, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: YBC, FOE, PCL, ARK, JAI, CTL, XFN, MUE, YZT\n- Travel distances (in kilometers) between each pair of airports:\nYBC to PCL: 6727\nYBC to JAI: 12196\nYBC to YZT: 4604\nYBC to XFN: 12605\nYBC to MUE: 8535\nYBC to ARK: 13102\nYBC to CTL: 16741\nYBC to FOE: 2502\nFOE to PCL: 6599\nFOE to JAI: 12990\nFOE to YZT: 3909\nFOE to XFN: 12260\nFOE to MUE: 7587\nFOE to ARK: 14923\nFOE to CTL: 15759\nPCL to JAI: 17510\nPCL to YZT: 8475\nPCL to XFN: 17385\nPCL to MUE: 11060\nPCL to ARK: 14248\nPCL to CTL: 15580\nARK to JAI: 6131\nARK to YZT: 15746\nARK to XFN: 9774\nARK to MUE: 18471\nARK to CTL: 13242\nJAI to YZT: 12873\nJAI to XFN: 3740\nJAI to MUE: 12459\nJAI to CTL: 10227\nCTL to YZT: 12934\nCTL to XFN: 7988\nCTL to MUE: 8528\nXFN to YZT: 9794\nXFN to MUE: 9108\nMUE to YZT: 4769\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LUR, BVA, LPT, LTI, PKN, SHW, FEZ, YLH, YTE\n- Travel distances (in kilometers) between each pair of airports:\nLUR to FEZ: 12633\nLUR to YTE: 7310\nLUR to BVA: 11462\nLUR to PKN: 16638\nLUR to LTI: 14155\nLUR to LPT: 15991\nLUR to SHW: 16687\nLUR to YLH: 6423\nBVA to FEZ: 1822\nBVA to YTE: 7358\nBVA to PKN: 11946\nBVA to LTI: 7933\nBVA to LPT: 10015\nBVA to SHW: 5443\nBVA to YLH: 7337\nLPT to FEZ: 11268\nLPT to YTE: 16088\nLPT to PKN: 3098\nLPT to LTI: 5207\nLPT to SHW: 7131\nLPT to YLH: 15236\nLTI to FEZ: 9517\nLTI to YTE: 14252\nLTI to PKN: 6972\nLTI to SHW: 7553\nLTI to YLH: 13400\nPKN to PKN: 0\nPKN to FEZ: 13162\nPKN to YTE: 16682\nPKN to SHW: 8645\nPKN to YLH: 15724\nSHW to FEZ: 5950\nSHW to YTE: 12291\nSHW to YLH: 12749\nFEZ to YTE: 8392\nFEZ to YLH: 7779\nYLH to YTE: 3295\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 55953, "style": "rule" }
{ "exact_answer": 55953, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"LUR\", \"id\": 0}, {\"name\": \"BVA\", \"id\": 1}, {\"name\": \"LPT\", \"id\": 2}, {\"name\": \"LTI\", \"id\": 3}, {\"name\": \"PKN\", \"id\": 4}, {\"name\": \"SHW\", \"id\": 5}, {\"name\": \"FEZ\", \"id\": 6}, {\"name\": \"YLH\", \"id\": 7}, {\"name\": \"YTE\", \"id\": 8}], \"links\": [{\"weight\": 12633, \"source\": 0, \"target\": 6}, {\"weight\": 7310, \"source\": 0, \"target\": 8}, {\"weight\": 11462, \"source\": 0, \"target\": 1}, {\"weight\": 16638, \"source\": 0, \"target\": 4}, {\"weight\": 14155, \"source\": 0, \"target\": 3}, {\"weight\": 15991, \"source\": 0, \"target\": 2}, {\"weight\": 16687, \"source\": 0, \"target\": 5}, {\"weight\": 6423, \"source\": 0, \"target\": 7}, {\"weight\": 1822, \"source\": 1, \"target\": 6}, {\"weight\": 7358, \"source\": 1, \"target\": 8}, {\"weight\": 11946, \"source\": 1, \"target\": 4}, {\"weight\": 7933, \"source\": 1, \"target\": 3}, {\"weight\": 10015, \"source\": 1, \"target\": 2}, {\"weight\": 5443, \"source\": 1, \"target\": 5}, {\"weight\": 7337, \"source\": 1, \"target\": 7}, {\"weight\": 11268, \"source\": 2, \"target\": 6}, {\"weight\": 16088, \"source\": 2, \"target\": 8}, {\"weight\": 3098, \"source\": 2, \"target\": 4}, {\"weight\": 5207, \"source\": 2, \"target\": 3}, {\"weight\": 7131, \"source\": 2, \"target\": 5}, {\"weight\": 15236, \"source\": 2, \"target\": 7}, {\"weight\": 9517, \"source\": 3, \"target\": 6}, {\"weight\": 14252, \"source\": 3, \"target\": 8}, {\"weight\": 6972, \"source\": 3, \"target\": 4}, {\"weight\": 7553, \"source\": 3, \"target\": 5}, {\"weight\": 13400, \"source\": 3, \"target\": 7}, {\"weight\": 0, \"source\": 4, \"target\": 4}, {\"weight\": 13162, \"source\": 4, \"target\": 6}, {\"weight\": 16682, \"source\": 4, \"target\": 8}, {\"weight\": 8645, \"source\": 4, \"target\": 5}, {\"weight\": 15724, \"source\": 4, \"target\": 7}, {\"weight\": 5950, \"source\": 5, \"target\": 6}, {\"weight\": 12291, \"source\": 5, \"target\": 8}, {\"weight\": 12749, \"source\": 5, \"target\": 7}, {\"weight\": 8392, \"source\": 6, \"target\": 8}, {\"weight\": 7779, \"source\": 6, \"target\": 7}, {\"weight\": 3295, \"source\": 7, \"target\": 8}]}", "id": 639, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LUR, BVA, LPT, LTI, PKN, SHW, FEZ, YLH, YTE\n- Travel distances (in kilometers) between each pair of airports:\nLUR to FEZ: 12633\nLUR to YTE: 7310\nLUR to BVA: 11462\nLUR to PKN: 16638\nLUR to LTI: 14155\nLUR to LPT: 15991\nLUR to SHW: 16687\nLUR to YLH: 6423\nBVA to FEZ: 1822\nBVA to YTE: 7358\nBVA to PKN: 11946\nBVA to LTI: 7933\nBVA to LPT: 10015\nBVA to SHW: 5443\nBVA to YLH: 7337\nLPT to FEZ: 11268\nLPT to YTE: 16088\nLPT to PKN: 3098\nLPT to LTI: 5207\nLPT to SHW: 7131\nLPT to YLH: 15236\nLTI to FEZ: 9517\nLTI to YTE: 14252\nLTI to PKN: 6972\nLTI to SHW: 7553\nLTI to YLH: 13400\nPKN to PKN: 0\nPKN to FEZ: 13162\nPKN to YTE: 16682\nPKN to SHW: 8645\nPKN to YLH: 15724\nSHW to FEZ: 5950\nSHW to YTE: 12291\nSHW to YLH: 12749\nFEZ to YTE: 8392\nFEZ to YLH: 7779\nYLH to YTE: 3295\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: HAM, JUH, GDT, SFT, SDE, MYJ, REP, JZH, GCI\n- Travel distances (in kilometers) between each pair of airports:\nHAM to REP: 9201\nHAM to JZH: 7816\nHAM to GDT: 8078\nHAM to GCI: 986\nHAM to SDE: 12752\nHAM to JUH: 8877\nHAM to SFT: 1401\nHAM to MYJ: 8895\nJUH to REP: 2416\nJUH to JZH: 1565\nJUH to GDT: 14625\nJUH to GCI: 9847\nJUH to SDE: 20916\nJUH to SFT: 8693\nJUH to MYJ: 2154\nGDT to REP: 16415\nGDT to JZH: 14636\nGDT to GCI: 7723\nGDT to SDE: 8072\nGDT to SFT: 9005\nGDT to MYJ: 13555\nSFT to REP: 9204\nSFT to JZH: 7846\nSFT to GCI: 2188\nSFT to SDE: 14027\nSFT to MYJ: 8701\nSDE to REP: 19401\nSDE to JZH: 19855\nSDE to GCI: 12237\nSDE to MYJ: 20264\nMYJ to REP: 3758\nMYJ to JZH: 2781\nMYJ to GCI: 9841\nREP to JZH: 2175\nREP to GCI: 10134\nJZH to GCI: 8801\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 50842, "style": "rule" }
{ "exact_answer": 50842, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"HAM\", \"id\": 0}, {\"name\": \"JUH\", \"id\": 1}, {\"name\": \"GDT\", \"id\": 2}, {\"name\": \"SFT\", \"id\": 3}, {\"name\": \"SDE\", \"id\": 4}, {\"name\": \"MYJ\", \"id\": 5}, {\"name\": \"REP\", \"id\": 6}, {\"name\": \"JZH\", \"id\": 7}, {\"name\": \"GCI\", \"id\": 8}], \"links\": [{\"weight\": 9201, \"source\": 0, \"target\": 6}, {\"weight\": 7816, \"source\": 0, \"target\": 7}, {\"weight\": 8078, \"source\": 0, \"target\": 2}, {\"weight\": 986, \"source\": 0, \"target\": 8}, {\"weight\": 12752, \"source\": 0, \"target\": 4}, {\"weight\": 8877, \"source\": 0, \"target\": 1}, {\"weight\": 1401, \"source\": 0, \"target\": 3}, {\"weight\": 8895, \"source\": 0, \"target\": 5}, {\"weight\": 2416, \"source\": 1, \"target\": 6}, {\"weight\": 1565, \"source\": 1, \"target\": 7}, {\"weight\": 14625, \"source\": 1, \"target\": 2}, {\"weight\": 9847, \"source\": 1, \"target\": 8}, {\"weight\": 20916, \"source\": 1, \"target\": 4}, {\"weight\": 8693, \"source\": 1, \"target\": 3}, {\"weight\": 2154, \"source\": 1, \"target\": 5}, {\"weight\": 16415, \"source\": 2, \"target\": 6}, {\"weight\": 14636, \"source\": 2, \"target\": 7}, {\"weight\": 7723, \"source\": 2, \"target\": 8}, {\"weight\": 8072, \"source\": 2, \"target\": 4}, {\"weight\": 9005, \"source\": 2, \"target\": 3}, {\"weight\": 13555, \"source\": 2, \"target\": 5}, {\"weight\": 9204, \"source\": 3, \"target\": 6}, {\"weight\": 7846, \"source\": 3, \"target\": 7}, {\"weight\": 2188, \"source\": 3, \"target\": 8}, {\"weight\": 14027, \"source\": 3, \"target\": 4}, {\"weight\": 8701, \"source\": 3, \"target\": 5}, {\"weight\": 19401, \"source\": 4, \"target\": 6}, {\"weight\": 19855, \"source\": 4, \"target\": 7}, {\"weight\": 12237, \"source\": 4, \"target\": 8}, {\"weight\": 20264, \"source\": 4, \"target\": 5}, {\"weight\": 3758, \"source\": 5, \"target\": 6}, {\"weight\": 2781, \"source\": 5, \"target\": 7}, {\"weight\": 9841, \"source\": 5, \"target\": 8}, {\"weight\": 2175, \"source\": 6, \"target\": 7}, {\"weight\": 10134, \"source\": 6, \"target\": 8}, {\"weight\": 8801, \"source\": 7, \"target\": 8}]}", "id": 640, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: HAM, JUH, GDT, SFT, SDE, MYJ, REP, JZH, GCI\n- Travel distances (in kilometers) between each pair of airports:\nHAM to REP: 9201\nHAM to JZH: 7816\nHAM to GDT: 8078\nHAM to GCI: 986\nHAM to SDE: 12752\nHAM to JUH: 8877\nHAM to SFT: 1401\nHAM to MYJ: 8895\nJUH to REP: 2416\nJUH to JZH: 1565\nJUH to GDT: 14625\nJUH to GCI: 9847\nJUH to SDE: 20916\nJUH to SFT: 8693\nJUH to MYJ: 2154\nGDT to REP: 16415\nGDT to JZH: 14636\nGDT to GCI: 7723\nGDT to SDE: 8072\nGDT to SFT: 9005\nGDT to MYJ: 13555\nSFT to REP: 9204\nSFT to JZH: 7846\nSFT to GCI: 2188\nSFT to SDE: 14027\nSFT to MYJ: 8701\nSDE to REP: 19401\nSDE to JZH: 19855\nSDE to GCI: 12237\nSDE to MYJ: 20264\nMYJ to REP: 3758\nMYJ to JZH: 2781\nMYJ to GCI: 9841\nREP to JZH: 2175\nREP to GCI: 10134\nJZH to GCI: 8801\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LBP, OVS, BVV, YHI, WRG, CSK, TVS, HRE, HHH\n- Travel distances (in kilometers) between each pair of airports:\nLBP to TVS: 4326\nLBP to OVS: 8369\nLBP to YHI: 14773\nLBP to HHH: 15949\nLBP to HRE: 10978\nLBP to WRG: 13506\nLBP to CSK: 14926\nLBP to BVV: 6194\nOVS to TVS: 5325\nOVS to YHI: 11890\nOVS to HHH: 10291\nOVS to HRE: 9380\nOVS to WRG: 12046\nOVS to CSK: 8410\nOVS to BVV: 6199\nBVV to TVS: 2857\nBVV to YHI: 11834\nBVV to HHH: 13058\nBVV to HRE: 13787\nBVV to WRG: 10567\nBVV to CSK: 13865\nYHI to TVS: 11741\nYHI to HHH: 5530\nYHI to HRE: 17109\nYHI to WRG: 4079\nYHI to CSK: 10903\nWRG to TVS: 10372\nWRG to HHH: 5217\nWRG to HRE: 17278\nWRG to CSK: 11503\nCSK to TVS: 12989\nCSK to HHH: 7524\nCSK to HRE: 6923\nTVS to HHH: 12539\nTVS to HRE: 11389\nHRE to HHH: 13822\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 59555, "style": "rule" }
{ "exact_answer": 59555, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"LBP\", \"id\": 0}, {\"name\": \"OVS\", \"id\": 1}, {\"name\": \"BVV\", \"id\": 2}, {\"name\": \"YHI\", \"id\": 3}, {\"name\": \"WRG\", \"id\": 4}, {\"name\": \"CSK\", \"id\": 5}, {\"name\": \"TVS\", \"id\": 6}, {\"name\": \"HRE\", \"id\": 7}, {\"name\": \"HHH\", \"id\": 8}], \"links\": [{\"weight\": 4326, \"source\": 0, \"target\": 6}, {\"weight\": 8369, \"source\": 0, \"target\": 1}, {\"weight\": 14773, \"source\": 0, \"target\": 3}, {\"weight\": 15949, \"source\": 0, \"target\": 8}, {\"weight\": 10978, \"source\": 0, \"target\": 7}, {\"weight\": 13506, \"source\": 0, \"target\": 4}, {\"weight\": 14926, \"source\": 0, \"target\": 5}, {\"weight\": 6194, \"source\": 0, \"target\": 2}, {\"weight\": 5325, \"source\": 1, \"target\": 6}, {\"weight\": 11890, \"source\": 1, \"target\": 3}, {\"weight\": 10291, \"source\": 1, \"target\": 8}, {\"weight\": 9380, \"source\": 1, \"target\": 7}, {\"weight\": 12046, \"source\": 1, \"target\": 4}, {\"weight\": 8410, \"source\": 1, \"target\": 5}, {\"weight\": 6199, \"source\": 1, \"target\": 2}, {\"weight\": 2857, \"source\": 2, \"target\": 6}, {\"weight\": 11834, \"source\": 2, \"target\": 3}, {\"weight\": 13058, \"source\": 2, \"target\": 8}, {\"weight\": 13787, \"source\": 2, \"target\": 7}, {\"weight\": 10567, \"source\": 2, \"target\": 4}, {\"weight\": 13865, \"source\": 2, \"target\": 5}, {\"weight\": 11741, \"source\": 3, \"target\": 6}, {\"weight\": 5530, \"source\": 3, \"target\": 8}, {\"weight\": 17109, \"source\": 3, \"target\": 7}, {\"weight\": 4079, \"source\": 3, \"target\": 4}, {\"weight\": 10903, \"source\": 3, \"target\": 5}, {\"weight\": 10372, \"source\": 4, \"target\": 6}, {\"weight\": 5217, \"source\": 4, \"target\": 8}, {\"weight\": 17278, \"source\": 4, \"target\": 7}, {\"weight\": 11503, \"source\": 4, \"target\": 5}, {\"weight\": 12989, \"source\": 5, \"target\": 6}, {\"weight\": 7524, \"source\": 5, \"target\": 8}, {\"weight\": 6923, \"source\": 5, \"target\": 7}, {\"weight\": 12539, \"source\": 6, \"target\": 8}, {\"weight\": 11389, \"source\": 6, \"target\": 7}, {\"weight\": 13822, \"source\": 7, \"target\": 8}]}", "id": 641, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LBP, OVS, BVV, YHI, WRG, CSK, TVS, HRE, HHH\n- Travel distances (in kilometers) between each pair of airports:\nLBP to TVS: 4326\nLBP to OVS: 8369\nLBP to YHI: 14773\nLBP to HHH: 15949\nLBP to HRE: 10978\nLBP to WRG: 13506\nLBP to CSK: 14926\nLBP to BVV: 6194\nOVS to TVS: 5325\nOVS to YHI: 11890\nOVS to HHH: 10291\nOVS to HRE: 9380\nOVS to WRG: 12046\nOVS to CSK: 8410\nOVS to BVV: 6199\nBVV to TVS: 2857\nBVV to YHI: 11834\nBVV to HHH: 13058\nBVV to HRE: 13787\nBVV to WRG: 10567\nBVV to CSK: 13865\nYHI to TVS: 11741\nYHI to HHH: 5530\nYHI to HRE: 17109\nYHI to WRG: 4079\nYHI to CSK: 10903\nWRG to TVS: 10372\nWRG to HHH: 5217\nWRG to HRE: 17278\nWRG to CSK: 11503\nCSK to TVS: 12989\nCSK to HHH: 7524\nCSK to HRE: 6923\nTVS to HHH: 12539\nTVS to HRE: 11389\nHRE to HHH: 13822\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BZG, IZO, CNF, AGX, YFA, BLJ, LUH, ZQW, MYY\n- Travel distances (in kilometers) between each pair of airports:\nBZG to CNF: 10271\nBZG to BLJ: 3073\nBZG to AGX: 9908\nBZG to LUH: 8157\nBZG to MYY: 12751\nBZG to IZO: 11661\nBZG to ZQW: 2093\nBZG to YFA: 7858\nIZO to CNF: 19108\nIZO to BLJ: 11586\nIZO to AGX: 8191\nIZO to LUH: 6761\nIZO to MYY: 4989\nIZO to ZQW: 10386\nIZO to YFA: 11664\nCNF to BLJ: 8464\nCNF to AGX: 15266\nCNF to LUH: 14706\nCNF to MYY: 17749\nCNF to ZQW: 9246\nCNF to YFA: 9020\nAGX to BLJ: 8604\nAGX to LUH: 2793\nAGX to MYY: 4754\nAGX to ZQW: 8170\nAGX to YFA: 14955\nYFA to BLJ: 7633\nYFA to LUH: 12935\nYFA to MYY: 15175\nYFA to ZQW: 7158\nBLJ to LUH: 7394\nBLJ to MYY: 12091\nBLJ to ZQW: 1752\nLUH to MYY: 5251\nLUH to ZQW: 6521\nZQW to MYY: 11176\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 53371, "style": "rule" }
{ "exact_answer": 53371, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"BZG\", \"id\": 0}, {\"name\": \"IZO\", \"id\": 1}, {\"name\": \"CNF\", \"id\": 2}, {\"name\": \"AGX\", \"id\": 3}, {\"name\": \"YFA\", \"id\": 4}, {\"name\": \"BLJ\", \"id\": 5}, {\"name\": \"LUH\", \"id\": 6}, {\"name\": \"ZQW\", \"id\": 7}, {\"name\": \"MYY\", \"id\": 8}], \"links\": [{\"weight\": 10271, \"source\": 0, \"target\": 2}, {\"weight\": 3073, \"source\": 0, \"target\": 5}, {\"weight\": 9908, \"source\": 0, \"target\": 3}, {\"weight\": 8157, \"source\": 0, \"target\": 6}, {\"weight\": 12751, \"source\": 0, \"target\": 8}, {\"weight\": 11661, \"source\": 0, \"target\": 1}, {\"weight\": 2093, \"source\": 0, \"target\": 7}, {\"weight\": 7858, \"source\": 0, \"target\": 4}, {\"weight\": 19108, \"source\": 1, \"target\": 2}, {\"weight\": 11586, \"source\": 1, \"target\": 5}, {\"weight\": 8191, \"source\": 1, \"target\": 3}, {\"weight\": 6761, \"source\": 1, \"target\": 6}, {\"weight\": 4989, \"source\": 1, \"target\": 8}, {\"weight\": 10386, \"source\": 1, \"target\": 7}, {\"weight\": 11664, \"source\": 1, \"target\": 4}, {\"weight\": 8464, \"source\": 2, \"target\": 5}, {\"weight\": 15266, \"source\": 2, \"target\": 3}, {\"weight\": 14706, \"source\": 2, \"target\": 6}, {\"weight\": 17749, \"source\": 2, \"target\": 8}, {\"weight\": 9246, \"source\": 2, \"target\": 7}, {\"weight\": 9020, \"source\": 2, \"target\": 4}, {\"weight\": 8604, \"source\": 3, \"target\": 5}, {\"weight\": 2793, \"source\": 3, \"target\": 6}, {\"weight\": 4754, \"source\": 3, \"target\": 8}, {\"weight\": 8170, \"source\": 3, \"target\": 7}, {\"weight\": 14955, \"source\": 3, \"target\": 4}, {\"weight\": 7633, \"source\": 4, \"target\": 5}, {\"weight\": 12935, \"source\": 4, \"target\": 6}, {\"weight\": 15175, \"source\": 4, \"target\": 8}, {\"weight\": 7158, \"source\": 4, \"target\": 7}, {\"weight\": 7394, \"source\": 5, \"target\": 6}, {\"weight\": 12091, \"source\": 5, \"target\": 8}, {\"weight\": 1752, \"source\": 5, \"target\": 7}, {\"weight\": 5251, \"source\": 6, \"target\": 8}, {\"weight\": 6521, \"source\": 6, \"target\": 7}, {\"weight\": 11176, \"source\": 7, \"target\": 8}]}", "id": 642, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BZG, IZO, CNF, AGX, YFA, BLJ, LUH, ZQW, MYY\n- Travel distances (in kilometers) between each pair of airports:\nBZG to CNF: 10271\nBZG to BLJ: 3073\nBZG to AGX: 9908\nBZG to LUH: 8157\nBZG to MYY: 12751\nBZG to IZO: 11661\nBZG to ZQW: 2093\nBZG to YFA: 7858\nIZO to CNF: 19108\nIZO to BLJ: 11586\nIZO to AGX: 8191\nIZO to LUH: 6761\nIZO to MYY: 4989\nIZO to ZQW: 10386\nIZO to YFA: 11664\nCNF to BLJ: 8464\nCNF to AGX: 15266\nCNF to LUH: 14706\nCNF to MYY: 17749\nCNF to ZQW: 9246\nCNF to YFA: 9020\nAGX to BLJ: 8604\nAGX to LUH: 2793\nAGX to MYY: 4754\nAGX to ZQW: 8170\nAGX to YFA: 14955\nYFA to BLJ: 7633\nYFA to LUH: 12935\nYFA to MYY: 15175\nYFA to ZQW: 7158\nBLJ to LUH: 7394\nBLJ to MYY: 12091\nBLJ to ZQW: 1752\nLUH to MYY: 5251\nLUH to ZQW: 6521\nZQW to MYY: 11176\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ABB, BNI, MXH, QBC, KCG, CRA, CMB, TMI, IRC\n- Travel distances (in kilometers) between each pair of airports:\nABB to IRC: 15141\nABB to QBC: 13097\nABB to CMB: 8660\nABB to MXH: 16856\nABB to KCG: 15263\nABB to BNI: 632\nABB to CRA: 5975\nABB to TMI: 8879\nBNI to IRC: 15017\nBNI to QBC: 13056\nBNI to CMB: 8701\nBNI to MXH: 16897\nBNI to KCG: 15139\nBNI to CRA: 6016\nBNI to TMI: 8920\nMXH to IRC: 14151\nMXH to QBC: 13564\nMXH to CMB: 8239\nMXH to KCG: 14273\nMXH to CRA: 16046\nMXH to TMI: 8731\nQBC to IRC: 3301\nQBC to CMB: 14083\nQBC to KCG: 3705\nQBC to CRA: 9994\nQBC to TMI: 12299\nKCG to IRC: 1374\nKCG to CMB: 16915\nKCG to CRA: 12720\nKCG to TMI: 15131\nCRA to IRC: 12316\nCRA to CMB: 9040\nCRA to TMI: 8229\nCMB to IRC: 16511\nCMB to TMI: 2857\nTMI to IRC: 14727\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 55565, "style": "rule" }
{ "exact_answer": 55565, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"ABB\", \"id\": 0}, {\"name\": \"BNI\", \"id\": 1}, {\"name\": \"MXH\", \"id\": 2}, {\"name\": \"QBC\", \"id\": 3}, {\"name\": \"KCG\", \"id\": 4}, {\"name\": \"CRA\", \"id\": 5}, {\"name\": \"CMB\", \"id\": 6}, {\"name\": \"TMI\", \"id\": 7}, {\"name\": \"IRC\", \"id\": 8}], \"links\": [{\"weight\": 15141, \"source\": 0, \"target\": 8}, {\"weight\": 13097, \"source\": 0, \"target\": 3}, {\"weight\": 8660, \"source\": 0, \"target\": 6}, {\"weight\": 16856, \"source\": 0, \"target\": 2}, {\"weight\": 15263, \"source\": 0, \"target\": 4}, {\"weight\": 632, \"source\": 0, \"target\": 1}, {\"weight\": 5975, \"source\": 0, \"target\": 5}, {\"weight\": 8879, \"source\": 0, \"target\": 7}, {\"weight\": 15017, \"source\": 1, \"target\": 8}, {\"weight\": 13056, \"source\": 1, \"target\": 3}, {\"weight\": 8701, \"source\": 1, \"target\": 6}, {\"weight\": 16897, \"source\": 1, \"target\": 2}, {\"weight\": 15139, \"source\": 1, \"target\": 4}, {\"weight\": 6016, \"source\": 1, \"target\": 5}, {\"weight\": 8920, \"source\": 1, \"target\": 7}, {\"weight\": 14151, \"source\": 2, \"target\": 8}, {\"weight\": 13564, \"source\": 2, \"target\": 3}, {\"weight\": 8239, \"source\": 2, \"target\": 6}, {\"weight\": 14273, \"source\": 2, \"target\": 4}, {\"weight\": 16046, \"source\": 2, \"target\": 5}, {\"weight\": 8731, \"source\": 2, \"target\": 7}, {\"weight\": 3301, \"source\": 3, \"target\": 8}, {\"weight\": 14083, \"source\": 3, \"target\": 6}, {\"weight\": 3705, \"source\": 3, \"target\": 4}, {\"weight\": 9994, \"source\": 3, \"target\": 5}, {\"weight\": 12299, \"source\": 3, \"target\": 7}, {\"weight\": 1374, \"source\": 4, \"target\": 8}, {\"weight\": 16915, \"source\": 4, \"target\": 6}, {\"weight\": 12720, \"source\": 4, \"target\": 5}, {\"weight\": 15131, \"source\": 4, \"target\": 7}, {\"weight\": 12316, \"source\": 5, \"target\": 8}, {\"weight\": 9040, \"source\": 5, \"target\": 6}, {\"weight\": 8229, \"source\": 5, \"target\": 7}, {\"weight\": 16511, \"source\": 6, \"target\": 8}, {\"weight\": 2857, \"source\": 6, \"target\": 7}, {\"weight\": 14727, \"source\": 7, \"target\": 8}]}", "id": 643, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ABB, BNI, MXH, QBC, KCG, CRA, CMB, TMI, IRC\n- Travel distances (in kilometers) between each pair of airports:\nABB to IRC: 15141\nABB to QBC: 13097\nABB to CMB: 8660\nABB to MXH: 16856\nABB to KCG: 15263\nABB to BNI: 632\nABB to CRA: 5975\nABB to TMI: 8879\nBNI to IRC: 15017\nBNI to QBC: 13056\nBNI to CMB: 8701\nBNI to MXH: 16897\nBNI to KCG: 15139\nBNI to CRA: 6016\nBNI to TMI: 8920\nMXH to IRC: 14151\nMXH to QBC: 13564\nMXH to CMB: 8239\nMXH to KCG: 14273\nMXH to CRA: 16046\nMXH to TMI: 8731\nQBC to IRC: 3301\nQBC to CMB: 14083\nQBC to KCG: 3705\nQBC to CRA: 9994\nQBC to TMI: 12299\nKCG to IRC: 1374\nKCG to CMB: 16915\nKCG to CRA: 12720\nKCG to TMI: 15131\nCRA to IRC: 12316\nCRA to CMB: 9040\nCRA to TMI: 8229\nCMB to IRC: 16511\nCMB to TMI: 2857\nTMI to IRC: 14727\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BDH, JBR, PDX, BUC, THX, CGK, MRU, KFP, OSY\n- Travel distances (in kilometers) between each pair of airports:\nBDH to JBR: 12447\nBDH to CGK: 6698\nBDH to PDX: 12286\nBDH to MRU: 5236\nBDH to KFP: 15457\nBDH to BUC: 11021\nBDH to OSY: 5609\nBDH to THX: 5796\nJBR to CGK: 16436\nJBR to PDX: 3083\nJBR to MRU: 16808\nJBR to KFP: 6142\nJBR to BUC: 16374\nJBR to OSY: 7294\nJBR to THX: 12936\nPDX to CGK: 13580\nPDX to MRU: 17220\nPDX to KFP: 3530\nPDX to BUC: 13700\nPDX to OSY: 7768\nPDX to THX: 12489\nBUC to CGK: 4431\nBUC to MRU: 10179\nBUC to KFP: 15040\nBUC to OSY: 14862\nBUC to THX: 11346\nTHX to CGK: 8170\nTHX to MRU: 10562\nTHX to KFP: 15660\nTHX to OSY: 5937\nCGK to MRU: 6574\nCGK to KFP: 16836\nCGK to OSY: 11131\nMRU to KFP: 20391\nMRU to OSY: 10515\nKFP to OSY: 10939\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 56921, "style": "rule" }
{ "exact_answer": 56921, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"BDH\", \"id\": 0}, {\"name\": \"JBR\", \"id\": 1}, {\"name\": \"PDX\", \"id\": 2}, {\"name\": \"BUC\", \"id\": 3}, {\"name\": \"THX\", \"id\": 4}, {\"name\": \"CGK\", \"id\": 5}, {\"name\": \"MRU\", \"id\": 6}, {\"name\": \"KFP\", \"id\": 7}, {\"name\": \"OSY\", \"id\": 8}], \"links\": [{\"weight\": 12447, \"source\": 0, \"target\": 1}, {\"weight\": 6698, \"source\": 0, \"target\": 5}, {\"weight\": 12286, \"source\": 0, \"target\": 2}, {\"weight\": 5236, \"source\": 0, \"target\": 6}, {\"weight\": 15457, \"source\": 0, \"target\": 7}, {\"weight\": 11021, \"source\": 0, \"target\": 3}, {\"weight\": 5609, \"source\": 0, \"target\": 8}, {\"weight\": 5796, \"source\": 0, \"target\": 4}, {\"weight\": 16436, \"source\": 1, \"target\": 5}, {\"weight\": 3083, \"source\": 1, \"target\": 2}, {\"weight\": 16808, \"source\": 1, \"target\": 6}, {\"weight\": 6142, \"source\": 1, \"target\": 7}, {\"weight\": 16374, \"source\": 1, \"target\": 3}, {\"weight\": 7294, \"source\": 1, \"target\": 8}, {\"weight\": 12936, \"source\": 1, \"target\": 4}, {\"weight\": 13580, \"source\": 2, \"target\": 5}, {\"weight\": 17220, \"source\": 2, \"target\": 6}, {\"weight\": 3530, \"source\": 2, \"target\": 7}, {\"weight\": 13700, \"source\": 2, \"target\": 3}, {\"weight\": 7768, \"source\": 2, \"target\": 8}, {\"weight\": 12489, \"source\": 2, \"target\": 4}, {\"weight\": 4431, \"source\": 3, \"target\": 5}, {\"weight\": 10179, \"source\": 3, \"target\": 6}, {\"weight\": 15040, \"source\": 3, \"target\": 7}, {\"weight\": 14862, \"source\": 3, \"target\": 8}, {\"weight\": 11346, \"source\": 3, \"target\": 4}, {\"weight\": 8170, \"source\": 4, \"target\": 5}, {\"weight\": 10562, \"source\": 4, \"target\": 6}, {\"weight\": 15660, \"source\": 4, \"target\": 7}, {\"weight\": 5937, \"source\": 4, \"target\": 8}, {\"weight\": 6574, \"source\": 5, \"target\": 6}, {\"weight\": 16836, \"source\": 5, \"target\": 7}, {\"weight\": 11131, \"source\": 5, \"target\": 8}, {\"weight\": 20391, \"source\": 6, \"target\": 7}, {\"weight\": 10515, \"source\": 6, \"target\": 8}, {\"weight\": 10939, \"source\": 7, \"target\": 8}]}", "id": 644, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BDH, JBR, PDX, BUC, THX, CGK, MRU, KFP, OSY\n- Travel distances (in kilometers) between each pair of airports:\nBDH to JBR: 12447\nBDH to CGK: 6698\nBDH to PDX: 12286\nBDH to MRU: 5236\nBDH to KFP: 15457\nBDH to BUC: 11021\nBDH to OSY: 5609\nBDH to THX: 5796\nJBR to CGK: 16436\nJBR to PDX: 3083\nJBR to MRU: 16808\nJBR to KFP: 6142\nJBR to BUC: 16374\nJBR to OSY: 7294\nJBR to THX: 12936\nPDX to CGK: 13580\nPDX to MRU: 17220\nPDX to KFP: 3530\nPDX to BUC: 13700\nPDX to OSY: 7768\nPDX to THX: 12489\nBUC to CGK: 4431\nBUC to MRU: 10179\nBUC to KFP: 15040\nBUC to OSY: 14862\nBUC to THX: 11346\nTHX to CGK: 8170\nTHX to MRU: 10562\nTHX to KFP: 15660\nTHX to OSY: 5937\nCGK to MRU: 6574\nCGK to KFP: 16836\nCGK to OSY: 11131\nMRU to KFP: 20391\nMRU to OSY: 10515\nKFP to OSY: 10939\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: YAK, AOE, YRL, KHY, BKW, VDM, GAM, INH, YSG\n- Travel distances (in kilometers) between each pair of airports:\nYAK to GAM: 1776\nYAK to YSG: 3887\nYAK to VDM: 13796\nYAK to KHY: 14397\nYAK to YRL: 3969\nYAK to AOE: 12097\nYAK to INH: 19259\nYAK to BKW: 5823\nAOE to GAM: 13823\nAOE to YSG: 10641\nAOE to VDM: 14500\nAOE to KHY: 7211\nAOE to YRL: 9753\nAOE to INH: 12025\nAOE to BKW: 8950\nYRL to GAM: 5695\nYRL to YSG: 2672\nYRL to VDM: 11353\nYRL to KHY: 12234\nYRL to INH: 15533\nYRL to BKW: 2250\nKHY to GAM: 16123\nKHY to YSG: 12941\nKHY to VDM: 15603\nKHY to INH: 8173\nKHY to BKW: 11440\nBKW to GAM: 7023\nBKW to YSG: 4360\nBKW to VDM: 9856\nBKW to INH: 14225\nVDM to GAM: 15468\nVDM to YSG: 13229\nVDM to INH: 10706\nGAM to YSG: 5613\nGAM to INH: 20467\nINH to YSG: 17341\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 60195, "style": "rule" }
{ "exact_answer": 60195, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"YAK\", \"id\": 0}, {\"name\": \"AOE\", \"id\": 1}, {\"name\": \"YRL\", \"id\": 2}, {\"name\": \"KHY\", \"id\": 3}, {\"name\": \"BKW\", \"id\": 4}, {\"name\": \"VDM\", \"id\": 5}, {\"name\": \"GAM\", \"id\": 6}, {\"name\": \"INH\", \"id\": 7}, {\"name\": \"YSG\", \"id\": 8}], \"links\": [{\"weight\": 1776, \"source\": 0, \"target\": 6}, {\"weight\": 3887, \"source\": 0, \"target\": 8}, {\"weight\": 13796, \"source\": 0, \"target\": 5}, {\"weight\": 14397, \"source\": 0, \"target\": 3}, {\"weight\": 3969, \"source\": 0, \"target\": 2}, {\"weight\": 12097, \"source\": 0, \"target\": 1}, {\"weight\": 19259, \"source\": 0, \"target\": 7}, {\"weight\": 5823, \"source\": 0, \"target\": 4}, {\"weight\": 13823, \"source\": 1, \"target\": 6}, {\"weight\": 10641, \"source\": 1, \"target\": 8}, {\"weight\": 14500, \"source\": 1, \"target\": 5}, {\"weight\": 7211, \"source\": 1, \"target\": 3}, {\"weight\": 9753, \"source\": 1, \"target\": 2}, {\"weight\": 12025, \"source\": 1, \"target\": 7}, {\"weight\": 8950, \"source\": 1, \"target\": 4}, {\"weight\": 5695, \"source\": 2, \"target\": 6}, {\"weight\": 2672, \"source\": 2, \"target\": 8}, {\"weight\": 11353, \"source\": 2, \"target\": 5}, {\"weight\": 12234, \"source\": 2, \"target\": 3}, {\"weight\": 15533, \"source\": 2, \"target\": 7}, {\"weight\": 2250, \"source\": 2, \"target\": 4}, {\"weight\": 16123, \"source\": 3, \"target\": 6}, {\"weight\": 12941, \"source\": 3, \"target\": 8}, {\"weight\": 15603, \"source\": 3, \"target\": 5}, {\"weight\": 8173, \"source\": 3, \"target\": 7}, {\"weight\": 11440, \"source\": 3, \"target\": 4}, {\"weight\": 7023, \"source\": 4, \"target\": 6}, {\"weight\": 4360, \"source\": 4, \"target\": 8}, {\"weight\": 9856, \"source\": 4, \"target\": 5}, {\"weight\": 14225, \"source\": 4, \"target\": 7}, {\"weight\": 15468, \"source\": 5, \"target\": 6}, {\"weight\": 13229, \"source\": 5, \"target\": 8}, {\"weight\": 10706, \"source\": 5, \"target\": 7}, {\"weight\": 5613, \"source\": 6, \"target\": 8}, {\"weight\": 20467, \"source\": 6, \"target\": 7}, {\"weight\": 17341, \"source\": 7, \"target\": 8}]}", "id": 645, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: YAK, AOE, YRL, KHY, BKW, VDM, GAM, INH, YSG\n- Travel distances (in kilometers) between each pair of airports:\nYAK to GAM: 1776\nYAK to YSG: 3887\nYAK to VDM: 13796\nYAK to KHY: 14397\nYAK to YRL: 3969\nYAK to AOE: 12097\nYAK to INH: 19259\nYAK to BKW: 5823\nAOE to GAM: 13823\nAOE to YSG: 10641\nAOE to VDM: 14500\nAOE to KHY: 7211\nAOE to YRL: 9753\nAOE to INH: 12025\nAOE to BKW: 8950\nYRL to GAM: 5695\nYRL to YSG: 2672\nYRL to VDM: 11353\nYRL to KHY: 12234\nYRL to INH: 15533\nYRL to BKW: 2250\nKHY to GAM: 16123\nKHY to YSG: 12941\nKHY to VDM: 15603\nKHY to INH: 8173\nKHY to BKW: 11440\nBKW to GAM: 7023\nBKW to YSG: 4360\nBKW to VDM: 9856\nBKW to INH: 14225\nVDM to GAM: 15468\nVDM to YSG: 13229\nVDM to INH: 10706\nGAM to YSG: 5613\nGAM to INH: 20467\nINH to YSG: 17341\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: MDW, RGI, LPQ, MWZ, WAE, OSI, DGO, BIO, LUM\n- Travel distances (in kilometers) between each pair of airports:\nMDW to LUM: 13437\nMDW to BIO: 7109\nMDW to LPQ: 13752\nMDW to DGO: 2597\nMDW to OSI: 7972\nMDW to MWZ: 13677\nMDW to WAE: 11788\nMDW to RGI: 9778\nRGI to LUM: 14008\nRGI to BIO: 16631\nRGI to LPQ: 13926\nRGI to DGO: 8699\nRGI to OSI: 17232\nRGI to MWZ: 19075\nRGI to WAE: 19065\nLPQ to LUM: 1095\nLPQ to BIO: 10178\nLPQ to DGO: 14447\nLPQ to OSI: 8940\nLPQ to MWZ: 8392\nLPQ to WAE: 6424\nMWZ to LUM: 8566\nMWZ to BIO: 7355\nMWZ to DGO: 15878\nMWZ to OSI: 6141\nMWZ to WAE: 3669\nWAE to LUM: 6557\nWAE to BIO: 5214\nWAE to DGO: 14251\nWAE to OSI: 3992\nOSI to LUM: 8751\nOSI to BIO: 1831\nOSI to DGO: 10441\nDGO to LUM: 14193\nDGO to BIO: 9476\nBIO to LUM: 9829\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 51392, "style": "rule" }
{ "exact_answer": 51392, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"MDW\", \"id\": 0}, {\"name\": \"RGI\", \"id\": 1}, {\"name\": \"LPQ\", \"id\": 2}, {\"name\": \"MWZ\", \"id\": 3}, {\"name\": \"WAE\", \"id\": 4}, {\"name\": \"OSI\", \"id\": 5}, {\"name\": \"DGO\", \"id\": 6}, {\"name\": \"BIO\", \"id\": 7}, {\"name\": \"LUM\", \"id\": 8}], \"links\": [{\"weight\": 13437, \"source\": 0, \"target\": 8}, {\"weight\": 7109, \"source\": 0, \"target\": 7}, {\"weight\": 13752, \"source\": 0, \"target\": 2}, {\"weight\": 2597, \"source\": 0, \"target\": 6}, {\"weight\": 7972, \"source\": 0, \"target\": 5}, {\"weight\": 13677, \"source\": 0, \"target\": 3}, {\"weight\": 11788, \"source\": 0, \"target\": 4}, {\"weight\": 9778, \"source\": 0, \"target\": 1}, {\"weight\": 14008, \"source\": 1, \"target\": 8}, {\"weight\": 16631, \"source\": 1, \"target\": 7}, {\"weight\": 13926, \"source\": 1, \"target\": 2}, {\"weight\": 8699, \"source\": 1, \"target\": 6}, {\"weight\": 17232, \"source\": 1, \"target\": 5}, {\"weight\": 19075, \"source\": 1, \"target\": 3}, {\"weight\": 19065, \"source\": 1, \"target\": 4}, {\"weight\": 1095, \"source\": 2, \"target\": 8}, {\"weight\": 10178, \"source\": 2, \"target\": 7}, {\"weight\": 14447, \"source\": 2, \"target\": 6}, {\"weight\": 8940, \"source\": 2, \"target\": 5}, {\"weight\": 8392, \"source\": 2, \"target\": 3}, {\"weight\": 6424, \"source\": 2, \"target\": 4}, {\"weight\": 8566, \"source\": 3, \"target\": 8}, {\"weight\": 7355, \"source\": 3, \"target\": 7}, {\"weight\": 15878, \"source\": 3, \"target\": 6}, {\"weight\": 6141, \"source\": 3, \"target\": 5}, {\"weight\": 3669, \"source\": 3, \"target\": 4}, {\"weight\": 6557, \"source\": 4, \"target\": 8}, {\"weight\": 5214, \"source\": 4, \"target\": 7}, {\"weight\": 14251, \"source\": 4, \"target\": 6}, {\"weight\": 3992, \"source\": 4, \"target\": 5}, {\"weight\": 8751, \"source\": 5, \"target\": 8}, {\"weight\": 1831, \"source\": 5, \"target\": 7}, {\"weight\": 10441, \"source\": 5, \"target\": 6}, {\"weight\": 14193, \"source\": 6, \"target\": 8}, {\"weight\": 9476, \"source\": 6, \"target\": 7}, {\"weight\": 9829, \"source\": 7, \"target\": 8}]}", "id": 646, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: MDW, RGI, LPQ, MWZ, WAE, OSI, DGO, BIO, LUM\n- Travel distances (in kilometers) between each pair of airports:\nMDW to LUM: 13437\nMDW to BIO: 7109\nMDW to LPQ: 13752\nMDW to DGO: 2597\nMDW to OSI: 7972\nMDW to MWZ: 13677\nMDW to WAE: 11788\nMDW to RGI: 9778\nRGI to LUM: 14008\nRGI to BIO: 16631\nRGI to LPQ: 13926\nRGI to DGO: 8699\nRGI to OSI: 17232\nRGI to MWZ: 19075\nRGI to WAE: 19065\nLPQ to LUM: 1095\nLPQ to BIO: 10178\nLPQ to DGO: 14447\nLPQ to OSI: 8940\nLPQ to MWZ: 8392\nLPQ to WAE: 6424\nMWZ to LUM: 8566\nMWZ to BIO: 7355\nMWZ to DGO: 15878\nMWZ to OSI: 6141\nMWZ to WAE: 3669\nWAE to LUM: 6557\nWAE to BIO: 5214\nWAE to DGO: 14251\nWAE to OSI: 3992\nOSI to LUM: 8751\nOSI to BIO: 1831\nOSI to DGO: 10441\nDGO to LUM: 14193\nDGO to BIO: 9476\nBIO to LUM: 9829\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: AAY, PNI, SJO, XBE, PYC, CIH, JZH, CXF, HGA\n- Travel distances (in kilometers) between each pair of airports:\nAAY to JZH: 7452\nAAY to SJO: 14740\nAAY to CXF: 16823\nAAY to PYC: 15308\nAAY to HGA: 1555\nAAY to CIH: 8258\nAAY to PNI: 13317\nAAY to XBE: 13781\nPNI to JZH: 6480\nPNI to SJO: 13605\nPNI to CXF: 10411\nPNI to PYC: 14173\nPNI to HGA: 12860\nPNI to CIH: 6057\nPNI to XBE: 12202\nSJO to JZH: 15496\nSJO to CXF: 8332\nSJO to PYC: 568\nSJO to HGA: 14469\nSJO to CIH: 14582\nSJO to XBE: 5382\nXBE to JZH: 12612\nXBE to CXF: 5552\nXBE to PYC: 5950\nXBE to HGA: 13472\nXBE to CIH: 11698\nPYC to JZH: 16064\nPYC to CXF: 8900\nPYC to HGA: 15037\nPYC to CIH: 15150\nCIH to JZH: 1180\nCIH to CXF: 12016\nCIH to HGA: 7891\nJZH to CXF: 12930\nJZH to HGA: 7085\nCXF to HGA: 16576\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 53098, "style": "rule" }
{ "exact_answer": 53098, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"AAY\", \"id\": 0}, {\"name\": \"PNI\", \"id\": 1}, {\"name\": \"SJO\", \"id\": 2}, {\"name\": \"XBE\", \"id\": 3}, {\"name\": \"PYC\", \"id\": 4}, {\"name\": \"CIH\", \"id\": 5}, {\"name\": \"JZH\", \"id\": 6}, {\"name\": \"CXF\", \"id\": 7}, {\"name\": \"HGA\", \"id\": 8}], \"links\": [{\"weight\": 7452, \"source\": 0, \"target\": 6}, {\"weight\": 14740, \"source\": 0, \"target\": 2}, {\"weight\": 16823, \"source\": 0, \"target\": 7}, {\"weight\": 15308, \"source\": 0, \"target\": 4}, {\"weight\": 1555, \"source\": 0, \"target\": 8}, {\"weight\": 8258, \"source\": 0, \"target\": 5}, {\"weight\": 13317, \"source\": 0, \"target\": 1}, {\"weight\": 13781, \"source\": 0, \"target\": 3}, {\"weight\": 6480, \"source\": 1, \"target\": 6}, {\"weight\": 13605, \"source\": 1, \"target\": 2}, {\"weight\": 10411, \"source\": 1, \"target\": 7}, {\"weight\": 14173, \"source\": 1, \"target\": 4}, {\"weight\": 12860, \"source\": 1, \"target\": 8}, {\"weight\": 6057, \"source\": 1, \"target\": 5}, {\"weight\": 12202, \"source\": 1, \"target\": 3}, {\"weight\": 15496, \"source\": 2, \"target\": 6}, {\"weight\": 8332, \"source\": 2, \"target\": 7}, {\"weight\": 568, \"source\": 2, \"target\": 4}, {\"weight\": 14469, \"source\": 2, \"target\": 8}, {\"weight\": 14582, \"source\": 2, \"target\": 5}, {\"weight\": 5382, \"source\": 2, \"target\": 3}, {\"weight\": 12612, \"source\": 3, \"target\": 6}, {\"weight\": 5552, \"source\": 3, \"target\": 7}, {\"weight\": 5950, \"source\": 3, \"target\": 4}, {\"weight\": 13472, \"source\": 3, \"target\": 8}, {\"weight\": 11698, \"source\": 3, \"target\": 5}, {\"weight\": 16064, \"source\": 4, \"target\": 6}, {\"weight\": 8900, \"source\": 4, \"target\": 7}, {\"weight\": 15037, \"source\": 4, \"target\": 8}, {\"weight\": 15150, \"source\": 4, \"target\": 5}, {\"weight\": 1180, \"source\": 5, \"target\": 6}, {\"weight\": 12016, \"source\": 5, \"target\": 7}, {\"weight\": 7891, \"source\": 5, \"target\": 8}, {\"weight\": 12930, \"source\": 6, \"target\": 7}, {\"weight\": 7085, \"source\": 6, \"target\": 8}, {\"weight\": 16576, \"source\": 7, \"target\": 8}]}", "id": 647, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: AAY, PNI, SJO, XBE, PYC, CIH, JZH, CXF, HGA\n- Travel distances (in kilometers) between each pair of airports:\nAAY to JZH: 7452\nAAY to SJO: 14740\nAAY to CXF: 16823\nAAY to PYC: 15308\nAAY to HGA: 1555\nAAY to CIH: 8258\nAAY to PNI: 13317\nAAY to XBE: 13781\nPNI to JZH: 6480\nPNI to SJO: 13605\nPNI to CXF: 10411\nPNI to PYC: 14173\nPNI to HGA: 12860\nPNI to CIH: 6057\nPNI to XBE: 12202\nSJO to JZH: 15496\nSJO to CXF: 8332\nSJO to PYC: 568\nSJO to HGA: 14469\nSJO to CIH: 14582\nSJO to XBE: 5382\nXBE to JZH: 12612\nXBE to CXF: 5552\nXBE to PYC: 5950\nXBE to HGA: 13472\nXBE to CIH: 11698\nPYC to JZH: 16064\nPYC to CXF: 8900\nPYC to HGA: 15037\nPYC to CIH: 15150\nCIH to JZH: 1180\nCIH to CXF: 12016\nCIH to HGA: 7891\nJZH to CXF: 12930\nJZH to HGA: 7085\nCXF to HGA: 16576\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: IRP, POP, ACR, COO, BBA, WMN, CVM, UEL, QFX\n- Travel distances (in kilometers) between each pair of airports:\nIRP to COO: 3463\nIRP to ACR: 13486\nIRP to POP: 13674\nIRP to CVM: 15347\nIRP to QFX: 11834\nIRP to BBA: 12668\nIRP to WMN: 6173\nIRP to UEL: 5640\nPOP to COO: 10238\nPOP to ACR: 2482\nPOP to CVM: 3722\nPOP to QFX: 8392\nPOP to BBA: 7443\nPOP to WMN: 15572\nPOP to UEL: 14275\nACR to COO: 10836\nACR to CVM: 4239\nACR to QFX: 10686\nACR to BBA: 6250\nACR to WMN: 14956\nACR to UEL: 13659\nCOO to CVM: 12118\nCOO to QFX: 8833\nCOO to BBA: 10265\nCOO to WMN: 6119\nCOO to UEL: 5848\nBBA to CVM: 8464\nBBA to QFX: 15649\nBBA to WMN: 14022\nBBA to UEL: 12725\nWMN to CVM: 17922\nWMN to QFX: 13039\nWMN to UEL: 3703\nCVM to QFX: 9831\nCVM to UEL: 16625\nUEL to QFX: 13207\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 57182, "style": "rule" }
{ "exact_answer": 57182, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"IRP\", \"id\": 0}, {\"name\": \"POP\", \"id\": 1}, {\"name\": \"ACR\", \"id\": 2}, {\"name\": \"COO\", \"id\": 3}, {\"name\": \"BBA\", \"id\": 4}, {\"name\": \"WMN\", \"id\": 5}, {\"name\": \"CVM\", \"id\": 6}, {\"name\": \"UEL\", \"id\": 7}, {\"name\": \"QFX\", \"id\": 8}], \"links\": [{\"weight\": 3463, \"source\": 0, \"target\": 3}, {\"weight\": 13486, \"source\": 0, \"target\": 2}, {\"weight\": 13674, \"source\": 0, \"target\": 1}, {\"weight\": 15347, \"source\": 0, \"target\": 6}, {\"weight\": 11834, \"source\": 0, \"target\": 8}, {\"weight\": 12668, \"source\": 0, \"target\": 4}, {\"weight\": 6173, \"source\": 0, \"target\": 5}, {\"weight\": 5640, \"source\": 0, \"target\": 7}, {\"weight\": 10238, \"source\": 1, \"target\": 3}, {\"weight\": 2482, \"source\": 1, \"target\": 2}, {\"weight\": 3722, \"source\": 1, \"target\": 6}, {\"weight\": 8392, \"source\": 1, \"target\": 8}, {\"weight\": 7443, \"source\": 1, \"target\": 4}, {\"weight\": 15572, \"source\": 1, \"target\": 5}, {\"weight\": 14275, \"source\": 1, \"target\": 7}, {\"weight\": 10836, \"source\": 2, \"target\": 3}, {\"weight\": 4239, \"source\": 2, \"target\": 6}, {\"weight\": 10686, \"source\": 2, \"target\": 8}, {\"weight\": 6250, \"source\": 2, \"target\": 4}, {\"weight\": 14956, \"source\": 2, \"target\": 5}, {\"weight\": 13659, \"source\": 2, \"target\": 7}, {\"weight\": 12118, \"source\": 3, \"target\": 6}, {\"weight\": 8833, \"source\": 3, \"target\": 8}, {\"weight\": 10265, \"source\": 3, \"target\": 4}, {\"weight\": 6119, \"source\": 3, \"target\": 5}, {\"weight\": 5848, \"source\": 3, \"target\": 7}, {\"weight\": 8464, \"source\": 4, \"target\": 6}, {\"weight\": 15649, \"source\": 4, \"target\": 8}, {\"weight\": 14022, \"source\": 4, \"target\": 5}, {\"weight\": 12725, \"source\": 4, \"target\": 7}, {\"weight\": 17922, \"source\": 5, \"target\": 6}, {\"weight\": 13039, \"source\": 5, \"target\": 8}, {\"weight\": 3703, \"source\": 5, \"target\": 7}, {\"weight\": 9831, \"source\": 6, \"target\": 8}, {\"weight\": 16625, \"source\": 6, \"target\": 7}, {\"weight\": 13207, \"source\": 7, \"target\": 8}]}", "id": 648, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: IRP, POP, ACR, COO, BBA, WMN, CVM, UEL, QFX\n- Travel distances (in kilometers) between each pair of airports:\nIRP to COO: 3463\nIRP to ACR: 13486\nIRP to POP: 13674\nIRP to CVM: 15347\nIRP to QFX: 11834\nIRP to BBA: 12668\nIRP to WMN: 6173\nIRP to UEL: 5640\nPOP to COO: 10238\nPOP to ACR: 2482\nPOP to CVM: 3722\nPOP to QFX: 8392\nPOP to BBA: 7443\nPOP to WMN: 15572\nPOP to UEL: 14275\nACR to COO: 10836\nACR to CVM: 4239\nACR to QFX: 10686\nACR to BBA: 6250\nACR to WMN: 14956\nACR to UEL: 13659\nCOO to CVM: 12118\nCOO to QFX: 8833\nCOO to BBA: 10265\nCOO to WMN: 6119\nCOO to UEL: 5848\nBBA to CVM: 8464\nBBA to QFX: 15649\nBBA to WMN: 14022\nBBA to UEL: 12725\nWMN to CVM: 17922\nWMN to QFX: 13039\nWMN to UEL: 3703\nCVM to QFX: 9831\nCVM to UEL: 16625\nUEL to QFX: 13207\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: MOU, AGU, JUV, SOG, AXK, GET, BHE, XEQ, VPY\n- Travel distances (in kilometers) between each pair of airports:\nMOU to AGU: 6579\nMOU to AXK: 16505\nMOU to JUV: 11260\nMOU to XEQ: 10887\nMOU to BHE: 12797\nMOU to GET: 16730\nMOU to VPY: 20443\nMOU to SOG: 10494\nAGU to AXK: 14816\nAGU to JUV: 9780\nAGU to XEQ: 9407\nAGU to BHE: 13074\nAGU to GET: 17590\nAGU to VPY: 16485\nAGU to SOG: 9014\nJUV to AXK: 9616\nJUV to XEQ: 1541\nJUV to BHE: 19993\nJUV to GET: 18328\nJUV to VPY: 14386\nJUV to SOG: 4026\nSOG to AXK: 6188\nSOG to XEQ: 3653\nSOG to BHE: 18174\nSOG to GET: 14514\nSOG to VPY: 11002\nAXK to XEQ: 9664\nAXK to BHE: 15877\nAXK to GET: 11297\nAXK to VPY: 5865\nGET to XEQ: 17978\nGET to BHE: 5727\nGET to VPY: 9871\nBHE to XEQ: 19620\nBHE to VPY: 14523\nXEQ to VPY: 14184\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 62001, "style": "rule" }
{ "exact_answer": 62001, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"MOU\", \"id\": 0}, {\"name\": \"AGU\", \"id\": 1}, {\"name\": \"JUV\", \"id\": 2}, {\"name\": \"SOG\", \"id\": 3}, {\"name\": \"AXK\", \"id\": 4}, {\"name\": \"GET\", \"id\": 5}, {\"name\": \"BHE\", \"id\": 6}, {\"name\": \"XEQ\", \"id\": 7}, {\"name\": \"VPY\", \"id\": 8}], \"links\": [{\"weight\": 6579, \"source\": 0, \"target\": 1}, {\"weight\": 16505, \"source\": 0, \"target\": 4}, {\"weight\": 11260, \"source\": 0, \"target\": 2}, {\"weight\": 10887, \"source\": 0, \"target\": 7}, {\"weight\": 12797, \"source\": 0, \"target\": 6}, {\"weight\": 16730, \"source\": 0, \"target\": 5}, {\"weight\": 20443, \"source\": 0, \"target\": 8}, {\"weight\": 10494, \"source\": 0, \"target\": 3}, {\"weight\": 14816, \"source\": 1, \"target\": 4}, {\"weight\": 9780, \"source\": 1, \"target\": 2}, {\"weight\": 9407, \"source\": 1, \"target\": 7}, {\"weight\": 13074, \"source\": 1, \"target\": 6}, {\"weight\": 17590, \"source\": 1, \"target\": 5}, {\"weight\": 16485, \"source\": 1, \"target\": 8}, {\"weight\": 9014, \"source\": 1, \"target\": 3}, {\"weight\": 9616, \"source\": 2, \"target\": 4}, {\"weight\": 1541, \"source\": 2, \"target\": 7}, {\"weight\": 19993, \"source\": 2, \"target\": 6}, {\"weight\": 18328, \"source\": 2, \"target\": 5}, {\"weight\": 14386, \"source\": 2, \"target\": 8}, {\"weight\": 4026, \"source\": 2, \"target\": 3}, {\"weight\": 6188, \"source\": 3, \"target\": 4}, {\"weight\": 3653, \"source\": 3, \"target\": 7}, {\"weight\": 18174, \"source\": 3, \"target\": 6}, {\"weight\": 14514, \"source\": 3, \"target\": 5}, {\"weight\": 11002, \"source\": 3, \"target\": 8}, {\"weight\": 9664, \"source\": 4, \"target\": 7}, {\"weight\": 15877, \"source\": 4, \"target\": 6}, {\"weight\": 11297, \"source\": 4, \"target\": 5}, {\"weight\": 5865, \"source\": 4, \"target\": 8}, {\"weight\": 17978, \"source\": 5, \"target\": 7}, {\"weight\": 5727, \"source\": 5, \"target\": 6}, {\"weight\": 9871, \"source\": 5, \"target\": 8}, {\"weight\": 19620, \"source\": 6, \"target\": 7}, {\"weight\": 14523, \"source\": 6, \"target\": 8}, {\"weight\": 14184, \"source\": 7, \"target\": 8}]}", "id": 649, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: MOU, AGU, JUV, SOG, AXK, GET, BHE, XEQ, VPY\n- Travel distances (in kilometers) between each pair of airports:\nMOU to AGU: 6579\nMOU to AXK: 16505\nMOU to JUV: 11260\nMOU to XEQ: 10887\nMOU to BHE: 12797\nMOU to GET: 16730\nMOU to VPY: 20443\nMOU to SOG: 10494\nAGU to AXK: 14816\nAGU to JUV: 9780\nAGU to XEQ: 9407\nAGU to BHE: 13074\nAGU to GET: 17590\nAGU to VPY: 16485\nAGU to SOG: 9014\nJUV to AXK: 9616\nJUV to XEQ: 1541\nJUV to BHE: 19993\nJUV to GET: 18328\nJUV to VPY: 14386\nJUV to SOG: 4026\nSOG to AXK: 6188\nSOG to XEQ: 3653\nSOG to BHE: 18174\nSOG to GET: 14514\nSOG to VPY: 11002\nAXK to XEQ: 9664\nAXK to BHE: 15877\nAXK to GET: 11297\nAXK to VPY: 5865\nGET to XEQ: 17978\nGET to BHE: 5727\nGET to VPY: 9871\nBHE to XEQ: 19620\nBHE to VPY: 14523\nXEQ to VPY: 14184\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: GCI, KSD, FNT, SFG, FAT, DND, YRB, RGL, MXX\n- Travel distances (in kilometers) between each pair of airports:\nGCI to KSD: 1989\nGCI to SFG: 6993\nGCI to YRB: 8454\nGCI to RGL: 13383\nGCI to FAT: 8947\nGCI to FNT: 6313\nGCI to DND: 887\nGCI to MXX: 1967\nKSD to SFG: 8408\nKSD to YRB: 9496\nKSD to RGL: 14774\nKSD to FAT: 9417\nKSD to FNT: 7113\nKSD to DND: 2210\nKSD to MXX: 496\nFNT to SFG: 3465\nFNT to YRB: 4582\nFNT to RGL: 10898\nFNT to FAT: 3137\nFNT to DND: 6822\nFNT to MXX: 7091\nSFG to YRB: 6935\nSFG to RGL: 8454\nSFG to FAT: 5937\nSFG to DND: 7859\nSFG to MXX: 8386\nFAT to YRB: 6744\nFAT to RGL: 11706\nFAT to DND: 9451\nFAT to MXX: 9395\nDND to YRB: 9008\nDND to RGL: 13872\nDND to MXX: 2188\nYRB to RGL: 14733\nYRB to MXX: 9474\nRGL to MXX: 14929\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 47939, "style": "rule" }
{ "exact_answer": 47939, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"GCI\", \"id\": 0}, {\"name\": \"KSD\", \"id\": 1}, {\"name\": \"FNT\", \"id\": 2}, {\"name\": \"SFG\", \"id\": 3}, {\"name\": \"FAT\", \"id\": 4}, {\"name\": \"DND\", \"id\": 5}, {\"name\": \"YRB\", \"id\": 6}, {\"name\": \"RGL\", \"id\": 7}, {\"name\": \"MXX\", \"id\": 8}], \"links\": [{\"weight\": 1989, \"source\": 0, \"target\": 1}, {\"weight\": 6993, \"source\": 0, \"target\": 3}, {\"weight\": 8454, \"source\": 0, \"target\": 6}, {\"weight\": 13383, \"source\": 0, \"target\": 7}, {\"weight\": 8947, \"source\": 0, \"target\": 4}, {\"weight\": 6313, \"source\": 0, \"target\": 2}, {\"weight\": 887, \"source\": 0, \"target\": 5}, {\"weight\": 1967, \"source\": 0, \"target\": 8}, {\"weight\": 8408, \"source\": 1, \"target\": 3}, {\"weight\": 9496, \"source\": 1, \"target\": 6}, {\"weight\": 14774, \"source\": 1, \"target\": 7}, {\"weight\": 9417, \"source\": 1, \"target\": 4}, {\"weight\": 7113, \"source\": 1, \"target\": 2}, {\"weight\": 2210, \"source\": 1, \"target\": 5}, {\"weight\": 496, \"source\": 1, \"target\": 8}, {\"weight\": 3465, \"source\": 2, \"target\": 3}, {\"weight\": 4582, \"source\": 2, \"target\": 6}, {\"weight\": 10898, \"source\": 2, \"target\": 7}, {\"weight\": 3137, \"source\": 2, \"target\": 4}, {\"weight\": 6822, \"source\": 2, \"target\": 5}, {\"weight\": 7091, \"source\": 2, \"target\": 8}, {\"weight\": 6935, \"source\": 3, \"target\": 6}, {\"weight\": 8454, \"source\": 3, \"target\": 7}, {\"weight\": 5937, \"source\": 3, \"target\": 4}, {\"weight\": 7859, \"source\": 3, \"target\": 5}, {\"weight\": 8386, \"source\": 3, \"target\": 8}, {\"weight\": 6744, \"source\": 4, \"target\": 6}, {\"weight\": 11706, \"source\": 4, \"target\": 7}, {\"weight\": 9451, \"source\": 4, \"target\": 5}, {\"weight\": 9395, \"source\": 4, \"target\": 8}, {\"weight\": 9008, \"source\": 5, \"target\": 6}, {\"weight\": 13872, \"source\": 5, \"target\": 7}, {\"weight\": 2188, \"source\": 5, \"target\": 8}, {\"weight\": 14733, \"source\": 6, \"target\": 7}, {\"weight\": 9474, \"source\": 6, \"target\": 8}, {\"weight\": 14929, \"source\": 7, \"target\": 8}]}", "id": 650, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: GCI, KSD, FNT, SFG, FAT, DND, YRB, RGL, MXX\n- Travel distances (in kilometers) between each pair of airports:\nGCI to KSD: 1989\nGCI to SFG: 6993\nGCI to YRB: 8454\nGCI to RGL: 13383\nGCI to FAT: 8947\nGCI to FNT: 6313\nGCI to DND: 887\nGCI to MXX: 1967\nKSD to SFG: 8408\nKSD to YRB: 9496\nKSD to RGL: 14774\nKSD to FAT: 9417\nKSD to FNT: 7113\nKSD to DND: 2210\nKSD to MXX: 496\nFNT to SFG: 3465\nFNT to YRB: 4582\nFNT to RGL: 10898\nFNT to FAT: 3137\nFNT to DND: 6822\nFNT to MXX: 7091\nSFG to YRB: 6935\nSFG to RGL: 8454\nSFG to FAT: 5937\nSFG to DND: 7859\nSFG to MXX: 8386\nFAT to YRB: 6744\nFAT to RGL: 11706\nFAT to DND: 9451\nFAT to MXX: 9395\nDND to YRB: 9008\nDND to RGL: 13872\nDND to MXX: 2188\nYRB to RGL: 14733\nYRB to MXX: 9474\nRGL to MXX: 14929\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ANX, KSN, PLJ, THX, GDZ, JOG, SYM, NDJ, MJD\n- Travel distances (in kilometers) between each pair of airports:\nANX to SYM: 8847\nANX to NDJ: 6635\nANX to PLJ: 9516\nANX to JOG: 11807\nANX to KSN: 3877\nANX to MJD: 6812\nANX to GDZ: 3380\nANX to THX: 6324\nKSN to SYM: 5325\nKSN to NDJ: 6922\nKSN to PLJ: 12244\nKSN to JOG: 8126\nKSN to MJD: 4015\nKSN to GDZ: 3784\nKSN to THX: 4563\nPLJ to SYM: 15642\nPLJ to NDJ: 12462\nPLJ to JOG: 18261\nPLJ to MJD: 14970\nPLJ to GDZ: 11781\nPLJ to THX: 14589\nTHX to SYM: 6017\nTHX to NDJ: 9395\nTHX to JOG: 8531\nTHX to MJD: 5386\nTHX to GDZ: 5690\nGDZ to SYM: 8003\nGDZ to NDJ: 6521\nGDZ to JOG: 10963\nGDZ to MJD: 5982\nJOG to SYM: 4179\nJOG to NDJ: 11200\nJOG to MJD: 6251\nSYM to NDJ: 9521\nSYM to MJD: 4059\nNDJ to MJD: 5937\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 56089, "style": "rule" }
{ "exact_answer": 56089, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"ANX\", \"id\": 0}, {\"name\": \"KSN\", \"id\": 1}, {\"name\": \"PLJ\", \"id\": 2}, {\"name\": \"THX\", \"id\": 3}, {\"name\": \"GDZ\", \"id\": 4}, {\"name\": \"JOG\", \"id\": 5}, {\"name\": \"SYM\", \"id\": 6}, {\"name\": \"NDJ\", \"id\": 7}, {\"name\": \"MJD\", \"id\": 8}], \"links\": [{\"weight\": 8847, \"source\": 0, \"target\": 6}, {\"weight\": 6635, \"source\": 0, \"target\": 7}, {\"weight\": 9516, \"source\": 0, \"target\": 2}, {\"weight\": 11807, \"source\": 0, \"target\": 5}, {\"weight\": 3877, \"source\": 0, \"target\": 1}, {\"weight\": 6812, \"source\": 0, \"target\": 8}, {\"weight\": 3380, \"source\": 0, \"target\": 4}, {\"weight\": 6324, \"source\": 0, \"target\": 3}, {\"weight\": 5325, \"source\": 1, \"target\": 6}, {\"weight\": 6922, \"source\": 1, \"target\": 7}, {\"weight\": 12244, \"source\": 1, \"target\": 2}, {\"weight\": 8126, \"source\": 1, \"target\": 5}, {\"weight\": 4015, \"source\": 1, \"target\": 8}, {\"weight\": 3784, \"source\": 1, \"target\": 4}, {\"weight\": 4563, \"source\": 1, \"target\": 3}, {\"weight\": 15642, \"source\": 2, \"target\": 6}, {\"weight\": 12462, \"source\": 2, \"target\": 7}, {\"weight\": 18261, \"source\": 2, \"target\": 5}, {\"weight\": 14970, \"source\": 2, \"target\": 8}, {\"weight\": 11781, \"source\": 2, \"target\": 4}, {\"weight\": 14589, \"source\": 2, \"target\": 3}, {\"weight\": 6017, \"source\": 3, \"target\": 6}, {\"weight\": 9395, \"source\": 3, \"target\": 7}, {\"weight\": 8531, \"source\": 3, \"target\": 5}, {\"weight\": 5386, \"source\": 3, \"target\": 8}, {\"weight\": 5690, \"source\": 3, \"target\": 4}, {\"weight\": 8003, \"source\": 4, \"target\": 6}, {\"weight\": 6521, \"source\": 4, \"target\": 7}, {\"weight\": 10963, \"source\": 4, \"target\": 5}, {\"weight\": 5982, \"source\": 4, \"target\": 8}, {\"weight\": 4179, \"source\": 5, \"target\": 6}, {\"weight\": 11200, \"source\": 5, \"target\": 7}, {\"weight\": 6251, \"source\": 5, \"target\": 8}, {\"weight\": 9521, \"source\": 6, \"target\": 7}, {\"weight\": 4059, \"source\": 6, \"target\": 8}, {\"weight\": 5937, \"source\": 7, \"target\": 8}]}", "id": 651, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ANX, KSN, PLJ, THX, GDZ, JOG, SYM, NDJ, MJD\n- Travel distances (in kilometers) between each pair of airports:\nANX to SYM: 8847\nANX to NDJ: 6635\nANX to PLJ: 9516\nANX to JOG: 11807\nANX to KSN: 3877\nANX to MJD: 6812\nANX to GDZ: 3380\nANX to THX: 6324\nKSN to SYM: 5325\nKSN to NDJ: 6922\nKSN to PLJ: 12244\nKSN to JOG: 8126\nKSN to MJD: 4015\nKSN to GDZ: 3784\nKSN to THX: 4563\nPLJ to SYM: 15642\nPLJ to NDJ: 12462\nPLJ to JOG: 18261\nPLJ to MJD: 14970\nPLJ to GDZ: 11781\nPLJ to THX: 14589\nTHX to SYM: 6017\nTHX to NDJ: 9395\nTHX to JOG: 8531\nTHX to MJD: 5386\nTHX to GDZ: 5690\nGDZ to SYM: 8003\nGDZ to NDJ: 6521\nGDZ to JOG: 10963\nGDZ to MJD: 5982\nJOG to SYM: 4179\nJOG to NDJ: 11200\nJOG to MJD: 6251\nSYM to NDJ: 9521\nSYM to MJD: 4059\nNDJ to MJD: 5937\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: MUA, YWK, MAQ, BQN, JIM, VIG, SMI, EGS, BUW\n- Travel distances (in kilometers) between each pair of airports:\nMUA to YWK: 16251\nMUA to SMI: 15621\nMUA to BQN: 16655\nMUA to MAQ: 8254\nMUA to JIM: 14605\nMUA to BUW: 6225\nMUA to EGS: 20260\nMUA to VIG: 17723\nYWK to SMI: 7612\nYWK to BQN: 4025\nYWK to MAQ: 14931\nYWK to JIM: 11079\nYWK to BUW: 17461\nYWK to EGS: 8456\nYWK to VIG: 5360\nMAQ to SMI: 8563\nMAQ to BQN: 17213\nMAQ to JIM: 7638\nMAQ to BUW: 4031\nMAQ to EGS: 14176\nMAQ to VIG: 18056\nBQN to SMI: 10697\nBQN to JIM: 14068\nBQN to BUW: 18992\nBQN to EGS: 9913\nBQN to VIG: 4374\nJIM to SMI: 4022\nJIM to BUW: 10139\nJIM to EGS: 11016\nJIM to VIG: 13508\nVIG to SMI: 10202\nVIG to BUW: 20413\nVIG to EGS: 11195\nSMI to BUW: 11544\nSMI to EGS: 7469\nEGS to BUW: 17007\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 63963, "style": "rule" }
{ "exact_answer": 63963, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"MUA\", \"id\": 0}, {\"name\": \"YWK\", \"id\": 1}, {\"name\": \"MAQ\", \"id\": 2}, {\"name\": \"BQN\", \"id\": 3}, {\"name\": \"JIM\", \"id\": 4}, {\"name\": \"VIG\", \"id\": 5}, {\"name\": \"SMI\", \"id\": 6}, {\"name\": \"EGS\", \"id\": 7}, {\"name\": \"BUW\", \"id\": 8}], \"links\": [{\"weight\": 16251, \"source\": 0, \"target\": 1}, {\"weight\": 15621, \"source\": 0, \"target\": 6}, {\"weight\": 16655, \"source\": 0, \"target\": 3}, {\"weight\": 8254, \"source\": 0, \"target\": 2}, {\"weight\": 14605, \"source\": 0, \"target\": 4}, {\"weight\": 6225, \"source\": 0, \"target\": 8}, {\"weight\": 20260, \"source\": 0, \"target\": 7}, {\"weight\": 17723, \"source\": 0, \"target\": 5}, {\"weight\": 7612, \"source\": 1, \"target\": 6}, {\"weight\": 4025, \"source\": 1, \"target\": 3}, {\"weight\": 14931, \"source\": 1, \"target\": 2}, {\"weight\": 11079, \"source\": 1, \"target\": 4}, {\"weight\": 17461, \"source\": 1, \"target\": 8}, {\"weight\": 8456, \"source\": 1, \"target\": 7}, {\"weight\": 5360, \"source\": 1, \"target\": 5}, {\"weight\": 8563, \"source\": 2, \"target\": 6}, {\"weight\": 17213, \"source\": 2, \"target\": 3}, {\"weight\": 7638, \"source\": 2, \"target\": 4}, {\"weight\": 4031, \"source\": 2, \"target\": 8}, {\"weight\": 14176, \"source\": 2, \"target\": 7}, {\"weight\": 18056, \"source\": 2, \"target\": 5}, {\"weight\": 10697, \"source\": 3, \"target\": 6}, {\"weight\": 14068, \"source\": 3, \"target\": 4}, {\"weight\": 18992, \"source\": 3, \"target\": 8}, {\"weight\": 9913, \"source\": 3, \"target\": 7}, {\"weight\": 4374, \"source\": 3, \"target\": 5}, {\"weight\": 4022, \"source\": 4, \"target\": 6}, {\"weight\": 10139, \"source\": 4, \"target\": 8}, {\"weight\": 11016, \"source\": 4, \"target\": 7}, {\"weight\": 13508, \"source\": 4, \"target\": 5}, {\"weight\": 10202, \"source\": 5, \"target\": 6}, {\"weight\": 20413, \"source\": 5, \"target\": 8}, {\"weight\": 11195, \"source\": 5, \"target\": 7}, {\"weight\": 11544, \"source\": 6, \"target\": 8}, {\"weight\": 7469, \"source\": 6, \"target\": 7}, {\"weight\": 17007, \"source\": 7, \"target\": 8}]}", "id": 652, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: MUA, YWK, MAQ, BQN, JIM, VIG, SMI, EGS, BUW\n- Travel distances (in kilometers) between each pair of airports:\nMUA to YWK: 16251\nMUA to SMI: 15621\nMUA to BQN: 16655\nMUA to MAQ: 8254\nMUA to JIM: 14605\nMUA to BUW: 6225\nMUA to EGS: 20260\nMUA to VIG: 17723\nYWK to SMI: 7612\nYWK to BQN: 4025\nYWK to MAQ: 14931\nYWK to JIM: 11079\nYWK to BUW: 17461\nYWK to EGS: 8456\nYWK to VIG: 5360\nMAQ to SMI: 8563\nMAQ to BQN: 17213\nMAQ to JIM: 7638\nMAQ to BUW: 4031\nMAQ to EGS: 14176\nMAQ to VIG: 18056\nBQN to SMI: 10697\nBQN to JIM: 14068\nBQN to BUW: 18992\nBQN to EGS: 9913\nBQN to VIG: 4374\nJIM to SMI: 4022\nJIM to BUW: 10139\nJIM to EGS: 11016\nJIM to VIG: 13508\nVIG to SMI: 10202\nVIG to BUW: 20413\nVIG to EGS: 11195\nSMI to BUW: 11544\nSMI to EGS: 7469\nEGS to BUW: 17007\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: EDO, MRE, LFR, FIH, MSO, UEO, EAS, CVM, RRS\n- Travel distances (in kilometers) between each pair of airports:\nEDO to FIH: 6159\nEDO to CVM: 12168\nEDO to MSO: 10799\nEDO to MRE: 5685\nEDO to EAS: 2907\nEDO to UEO: 9172\nEDO to LFR: 10640\nEDO to RRS: 2997\nMRE to FIH: 2914\nMRE to CVM: 16352\nMRE to MSO: 15557\nMRE to EAS: 7505\nMRE to UEO: 10870\nMRE to LFR: 14259\nMRE to RRS: 8156\nLFR to FIH: 11714\nLFR to CVM: 4685\nLFR to MSO: 6668\nLFR to EAS: 7994\nLFR to UEO: 16435\nLFR to RRS: 9551\nFIH to CVM: 13761\nFIH to MSO: 13537\nFIH to EAS: 5849\nFIH to UEO: 12568\nFIH to RRS: 7613\nMSO to CVM: 3898\nMSO to EAS: 9146\nMSO to UEO: 9982\nMSO to RRS: 8478\nUEO to CVM: 13432\nUEO to EAS: 11139\nUEO to RRS: 9281\nEAS to CVM: 9893\nEAS to RRS: 2845\nCVM to RRS: 9934\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 52344, "style": "rule" }
{ "exact_answer": 52344, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"EDO\", \"id\": 0}, {\"name\": \"MRE\", \"id\": 1}, {\"name\": \"LFR\", \"id\": 2}, {\"name\": \"FIH\", \"id\": 3}, {\"name\": \"MSO\", \"id\": 4}, {\"name\": \"UEO\", \"id\": 5}, {\"name\": \"EAS\", \"id\": 6}, {\"name\": \"CVM\", \"id\": 7}, {\"name\": \"RRS\", \"id\": 8}], \"links\": [{\"weight\": 6159, \"source\": 0, \"target\": 3}, {\"weight\": 12168, \"source\": 0, \"target\": 7}, {\"weight\": 10799, \"source\": 0, \"target\": 4}, {\"weight\": 5685, \"source\": 0, \"target\": 1}, {\"weight\": 2907, \"source\": 0, \"target\": 6}, {\"weight\": 9172, \"source\": 0, \"target\": 5}, {\"weight\": 10640, \"source\": 0, \"target\": 2}, {\"weight\": 2997, \"source\": 0, \"target\": 8}, {\"weight\": 2914, \"source\": 1, \"target\": 3}, {\"weight\": 16352, \"source\": 1, \"target\": 7}, {\"weight\": 15557, \"source\": 1, \"target\": 4}, {\"weight\": 7505, \"source\": 1, \"target\": 6}, {\"weight\": 10870, \"source\": 1, \"target\": 5}, {\"weight\": 14259, \"source\": 1, \"target\": 2}, {\"weight\": 8156, \"source\": 1, \"target\": 8}, {\"weight\": 11714, \"source\": 2, \"target\": 3}, {\"weight\": 4685, \"source\": 2, \"target\": 7}, {\"weight\": 6668, \"source\": 2, \"target\": 4}, {\"weight\": 7994, \"source\": 2, \"target\": 6}, {\"weight\": 16435, \"source\": 2, \"target\": 5}, {\"weight\": 9551, \"source\": 2, \"target\": 8}, {\"weight\": 13761, \"source\": 3, \"target\": 7}, {\"weight\": 13537, \"source\": 3, \"target\": 4}, {\"weight\": 5849, \"source\": 3, \"target\": 6}, {\"weight\": 12568, \"source\": 3, \"target\": 5}, {\"weight\": 7613, \"source\": 3, \"target\": 8}, {\"weight\": 3898, \"source\": 4, \"target\": 7}, {\"weight\": 9146, \"source\": 4, \"target\": 6}, {\"weight\": 9982, \"source\": 4, \"target\": 5}, {\"weight\": 8478, \"source\": 4, \"target\": 8}, {\"weight\": 13432, \"source\": 5, \"target\": 7}, {\"weight\": 11139, \"source\": 5, \"target\": 6}, {\"weight\": 9281, \"source\": 5, \"target\": 8}, {\"weight\": 9893, \"source\": 6, \"target\": 7}, {\"weight\": 2845, \"source\": 6, \"target\": 8}, {\"weight\": 9934, \"source\": 7, \"target\": 8}]}", "id": 653, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: EDO, MRE, LFR, FIH, MSO, UEO, EAS, CVM, RRS\n- Travel distances (in kilometers) between each pair of airports:\nEDO to FIH: 6159\nEDO to CVM: 12168\nEDO to MSO: 10799\nEDO to MRE: 5685\nEDO to EAS: 2907\nEDO to UEO: 9172\nEDO to LFR: 10640\nEDO to RRS: 2997\nMRE to FIH: 2914\nMRE to CVM: 16352\nMRE to MSO: 15557\nMRE to EAS: 7505\nMRE to UEO: 10870\nMRE to LFR: 14259\nMRE to RRS: 8156\nLFR to FIH: 11714\nLFR to CVM: 4685\nLFR to MSO: 6668\nLFR to EAS: 7994\nLFR to UEO: 16435\nLFR to RRS: 9551\nFIH to CVM: 13761\nFIH to MSO: 13537\nFIH to EAS: 5849\nFIH to UEO: 12568\nFIH to RRS: 7613\nMSO to CVM: 3898\nMSO to EAS: 9146\nMSO to UEO: 9982\nMSO to RRS: 8478\nUEO to CVM: 13432\nUEO to EAS: 11139\nUEO to RRS: 9281\nEAS to CVM: 9893\nEAS to RRS: 2845\nCVM to RRS: 9934\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TUO, SVI, PAH, BZV, YDQ, SMS, CUQ, NCL, DOH\n- Travel distances (in kilometers) between each pair of airports:\nTUO to YDQ: 12338\nTUO to SVI: 14417\nTUO to DOH: 14767\nTUO to NCL: 18602\nTUO to BZV: 16204\nTUO to SMS: 12409\nTUO to CUQ: 4290\nTUO to PAH: 14061\nSVI to YDQ: 7799\nSVI to DOH: 13633\nSVI to NCL: 9128\nSVI to BZV: 11590\nSVI to SMS: 14513\nSVI to CUQ: 18261\nSVI to PAH: 5205\nPAH to YDQ: 4074\nPAH to DOH: 12008\nPAH to NCL: 6792\nPAH to BZV: 11973\nPAH to SMS: 16219\nPAH to CUQ: 16724\nBZV to YDQ: 14448\nBZV to DOH: 5255\nBZV to NCL: 6779\nBZV to SMS: 4734\nBZV to CUQ: 14987\nYDQ to DOH: 12903\nYDQ to NCL: 7949\nYDQ to SMS: 17435\nYDQ to CUQ: 14499\nSMS to DOH: 5582\nSMS to NCL: 9754\nSMS to CUQ: 10729\nCUQ to DOH: 11671\nCUQ to NCL: 15540\nNCL to DOH: 5424\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 61177, "style": "rule" }
{ "exact_answer": 61177, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"TUO\", \"id\": 0}, {\"name\": \"SVI\", \"id\": 1}, {\"name\": \"PAH\", \"id\": 2}, {\"name\": \"BZV\", \"id\": 3}, {\"name\": \"YDQ\", \"id\": 4}, {\"name\": \"SMS\", \"id\": 5}, {\"name\": \"CUQ\", \"id\": 6}, {\"name\": \"NCL\", \"id\": 7}, {\"name\": \"DOH\", \"id\": 8}], \"links\": [{\"weight\": 12338, \"source\": 0, \"target\": 4}, {\"weight\": 14417, \"source\": 0, \"target\": 1}, {\"weight\": 14767, \"source\": 0, \"target\": 8}, {\"weight\": 18602, \"source\": 0, \"target\": 7}, {\"weight\": 16204, \"source\": 0, \"target\": 3}, {\"weight\": 12409, \"source\": 0, \"target\": 5}, {\"weight\": 4290, \"source\": 0, \"target\": 6}, {\"weight\": 14061, \"source\": 0, \"target\": 2}, {\"weight\": 7799, \"source\": 1, \"target\": 4}, {\"weight\": 13633, \"source\": 1, \"target\": 8}, {\"weight\": 9128, \"source\": 1, \"target\": 7}, {\"weight\": 11590, \"source\": 1, \"target\": 3}, {\"weight\": 14513, \"source\": 1, \"target\": 5}, {\"weight\": 18261, \"source\": 1, \"target\": 6}, {\"weight\": 5205, \"source\": 1, \"target\": 2}, {\"weight\": 4074, \"source\": 2, \"target\": 4}, {\"weight\": 12008, \"source\": 2, \"target\": 8}, {\"weight\": 6792, \"source\": 2, \"target\": 7}, {\"weight\": 11973, \"source\": 2, \"target\": 3}, {\"weight\": 16219, \"source\": 2, \"target\": 5}, {\"weight\": 16724, \"source\": 2, \"target\": 6}, {\"weight\": 14448, \"source\": 3, \"target\": 4}, {\"weight\": 5255, \"source\": 3, \"target\": 8}, {\"weight\": 6779, \"source\": 3, \"target\": 7}, {\"weight\": 4734, \"source\": 3, \"target\": 5}, {\"weight\": 14987, \"source\": 3, \"target\": 6}, {\"weight\": 12903, \"source\": 4, \"target\": 8}, {\"weight\": 7949, \"source\": 4, \"target\": 7}, {\"weight\": 17435, \"source\": 4, \"target\": 5}, {\"weight\": 14499, \"source\": 4, \"target\": 6}, {\"weight\": 5582, \"source\": 5, \"target\": 8}, {\"weight\": 9754, \"source\": 5, \"target\": 7}, {\"weight\": 10729, \"source\": 5, \"target\": 6}, {\"weight\": 11671, \"source\": 6, \"target\": 8}, {\"weight\": 15540, \"source\": 6, \"target\": 7}, {\"weight\": 5424, \"source\": 7, \"target\": 8}]}", "id": 654, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TUO, SVI, PAH, BZV, YDQ, SMS, CUQ, NCL, DOH\n- Travel distances (in kilometers) between each pair of airports:\nTUO to YDQ: 12338\nTUO to SVI: 14417\nTUO to DOH: 14767\nTUO to NCL: 18602\nTUO to BZV: 16204\nTUO to SMS: 12409\nTUO to CUQ: 4290\nTUO to PAH: 14061\nSVI to YDQ: 7799\nSVI to DOH: 13633\nSVI to NCL: 9128\nSVI to BZV: 11590\nSVI to SMS: 14513\nSVI to CUQ: 18261\nSVI to PAH: 5205\nPAH to YDQ: 4074\nPAH to DOH: 12008\nPAH to NCL: 6792\nPAH to BZV: 11973\nPAH to SMS: 16219\nPAH to CUQ: 16724\nBZV to YDQ: 14448\nBZV to DOH: 5255\nBZV to NCL: 6779\nBZV to SMS: 4734\nBZV to CUQ: 14987\nYDQ to DOH: 12903\nYDQ to NCL: 7949\nYDQ to SMS: 17435\nYDQ to CUQ: 14499\nSMS to DOH: 5582\nSMS to NCL: 9754\nSMS to CUQ: 10729\nCUQ to DOH: 11671\nCUQ to NCL: 15540\nNCL to DOH: 5424\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: OBY, MRS, CPH, NZH, YHZ, KXU, CNY, ZUM, VKG\n- Travel distances (in kilometers) between each pair of airports:\nOBY to NZH: 11073\nOBY to CPH: 4916\nOBY to MRS: 5848\nOBY to YHZ: 7503\nOBY to CNY: 9584\nOBY to ZUM: 8409\nOBY to VKG: 14115\nOBY to KXU: 17064\nMRS to NZH: 7787\nMRS to CPH: 1454\nMRS to YHZ: 5573\nMRS to CNY: 9100\nMRS to ZUM: 5782\nMRS to VKG: 10358\nMRS to KXU: 16739\nCPH to NZH: 6505\nCPH to YHZ: 5563\nCPH to CNY: 8762\nCPH to ZUM: 5772\nCPH to VKG: 9458\nCPH to KXU: 16019\nNZH to YHZ: 12062\nNZH to CNY: 11129\nNZH to ZUM: 12271\nNZH to VKG: 4650\nNZH to KXU: 12247\nYHZ to CNY: 4214\nYHZ to ZUM: 1152\nYHZ to VKG: 15005\nYHZ to KXU: 11767\nKXU to CNY: 8235\nKXU to ZUM: 12125\nKXU to VKG: 13545\nCNY to ZUM: 4572\nCNY to VKG: 13526\nZUM to VKG: 15214\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 53464, "style": "rule" }
{ "exact_answer": 53464, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"OBY\", \"id\": 0}, {\"name\": \"MRS\", \"id\": 1}, {\"name\": \"CPH\", \"id\": 2}, {\"name\": \"NZH\", \"id\": 3}, {\"name\": \"YHZ\", \"id\": 4}, {\"name\": \"KXU\", \"id\": 5}, {\"name\": \"CNY\", \"id\": 6}, {\"name\": \"ZUM\", \"id\": 7}, {\"name\": \"VKG\", \"id\": 8}], \"links\": [{\"weight\": 11073, \"source\": 0, \"target\": 3}, {\"weight\": 4916, \"source\": 0, \"target\": 2}, {\"weight\": 5848, \"source\": 0, \"target\": 1}, {\"weight\": 7503, \"source\": 0, \"target\": 4}, {\"weight\": 9584, \"source\": 0, \"target\": 6}, {\"weight\": 8409, \"source\": 0, \"target\": 7}, {\"weight\": 14115, \"source\": 0, \"target\": 8}, {\"weight\": 17064, \"source\": 0, \"target\": 5}, {\"weight\": 7787, \"source\": 1, \"target\": 3}, {\"weight\": 1454, \"source\": 1, \"target\": 2}, {\"weight\": 5573, \"source\": 1, \"target\": 4}, {\"weight\": 9100, \"source\": 1, \"target\": 6}, {\"weight\": 5782, \"source\": 1, \"target\": 7}, {\"weight\": 10358, \"source\": 1, \"target\": 8}, {\"weight\": 16739, \"source\": 1, \"target\": 5}, {\"weight\": 6505, \"source\": 2, \"target\": 3}, {\"weight\": 5563, \"source\": 2, \"target\": 4}, {\"weight\": 8762, \"source\": 2, \"target\": 6}, {\"weight\": 5772, \"source\": 2, \"target\": 7}, {\"weight\": 9458, \"source\": 2, \"target\": 8}, {\"weight\": 16019, \"source\": 2, \"target\": 5}, {\"weight\": 12062, \"source\": 3, \"target\": 4}, {\"weight\": 11129, \"source\": 3, \"target\": 6}, {\"weight\": 12271, \"source\": 3, \"target\": 7}, {\"weight\": 4650, \"source\": 3, \"target\": 8}, {\"weight\": 12247, \"source\": 3, \"target\": 5}, {\"weight\": 4214, \"source\": 4, \"target\": 6}, {\"weight\": 1152, \"source\": 4, \"target\": 7}, {\"weight\": 15005, \"source\": 4, \"target\": 8}, {\"weight\": 11767, \"source\": 4, \"target\": 5}, {\"weight\": 8235, \"source\": 5, \"target\": 6}, {\"weight\": 12125, \"source\": 5, \"target\": 7}, {\"weight\": 13545, \"source\": 5, \"target\": 8}, {\"weight\": 4572, \"source\": 6, \"target\": 7}, {\"weight\": 13526, \"source\": 6, \"target\": 8}, {\"weight\": 15214, \"source\": 7, \"target\": 8}]}", "id": 655, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: OBY, MRS, CPH, NZH, YHZ, KXU, CNY, ZUM, VKG\n- Travel distances (in kilometers) between each pair of airports:\nOBY to NZH: 11073\nOBY to CPH: 4916\nOBY to MRS: 5848\nOBY to YHZ: 7503\nOBY to CNY: 9584\nOBY to ZUM: 8409\nOBY to VKG: 14115\nOBY to KXU: 17064\nMRS to NZH: 7787\nMRS to CPH: 1454\nMRS to YHZ: 5573\nMRS to CNY: 9100\nMRS to ZUM: 5782\nMRS to VKG: 10358\nMRS to KXU: 16739\nCPH to NZH: 6505\nCPH to YHZ: 5563\nCPH to CNY: 8762\nCPH to ZUM: 5772\nCPH to VKG: 9458\nCPH to KXU: 16019\nNZH to YHZ: 12062\nNZH to CNY: 11129\nNZH to ZUM: 12271\nNZH to VKG: 4650\nNZH to KXU: 12247\nYHZ to CNY: 4214\nYHZ to ZUM: 1152\nYHZ to VKG: 15005\nYHZ to KXU: 11767\nKXU to CNY: 8235\nKXU to ZUM: 12125\nKXU to VKG: 13545\nCNY to ZUM: 4572\nCNY to VKG: 13526\nZUM to VKG: 15214\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: RCH, GYE, MWZ, YQQ, VDM, HNM, LIN, IOM, BQK\n- Travel distances (in kilometers) between each pair of airports:\nRCH to GYE: 1764\nRCH to LIN: 9980\nRCH to YQQ: 7657\nRCH to BQK: 4541\nRCH to VDM: 6635\nRCH to IOM: 9390\nRCH to MWZ: 14724\nRCH to HNM: 10386\nGYE to LIN: 10194\nGYE to YQQ: 7261\nGYE to BQK: 4411\nGYE to VDM: 5115\nGYE to IOM: 9614\nGYE to MWZ: 14328\nGYE to HNM: 9723\nMWZ to LIN: 6575\nMWZ to YQQ: 14973\nMWZ to BQK: 14070\nMWZ to VDM: 12191\nMWZ to IOM: 7704\nMWZ to HNM: 18022\nYQQ to LIN: 8648\nYQQ to BQK: 4226\nYQQ to VDM: 12300\nYQQ to IOM: 7411\nYQQ to HNM: 4480\nVDM to LIN: 12008\nVDM to BQK: 9367\nVDM to IOM: 12177\nVDM to HNM: 14576\nHNM to LIN: 12882\nHNM to BQK: 7547\nHNM to IOM: 11688\nLIN to BQK: 8073\nLIN to IOM: 1380\nIOM to BQK: 6834\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 51004, "style": "rule" }
{ "exact_answer": 51004, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"RCH\", \"id\": 0}, {\"name\": \"GYE\", \"id\": 1}, {\"name\": \"MWZ\", \"id\": 2}, {\"name\": \"YQQ\", \"id\": 3}, {\"name\": \"VDM\", \"id\": 4}, {\"name\": \"HNM\", \"id\": 5}, {\"name\": \"LIN\", \"id\": 6}, {\"name\": \"IOM\", \"id\": 7}, {\"name\": \"BQK\", \"id\": 8}], \"links\": [{\"weight\": 1764, \"source\": 0, \"target\": 1}, {\"weight\": 9980, \"source\": 0, \"target\": 6}, {\"weight\": 7657, \"source\": 0, \"target\": 3}, {\"weight\": 4541, \"source\": 0, \"target\": 8}, {\"weight\": 6635, \"source\": 0, \"target\": 4}, {\"weight\": 9390, \"source\": 0, \"target\": 7}, {\"weight\": 14724, \"source\": 0, \"target\": 2}, {\"weight\": 10386, \"source\": 0, \"target\": 5}, {\"weight\": 10194, \"source\": 1, \"target\": 6}, {\"weight\": 7261, \"source\": 1, \"target\": 3}, {\"weight\": 4411, \"source\": 1, \"target\": 8}, {\"weight\": 5115, \"source\": 1, \"target\": 4}, {\"weight\": 9614, \"source\": 1, \"target\": 7}, {\"weight\": 14328, \"source\": 1, \"target\": 2}, {\"weight\": 9723, \"source\": 1, \"target\": 5}, {\"weight\": 6575, \"source\": 2, \"target\": 6}, {\"weight\": 14973, \"source\": 2, \"target\": 3}, {\"weight\": 14070, \"source\": 2, \"target\": 8}, {\"weight\": 12191, \"source\": 2, \"target\": 4}, {\"weight\": 7704, \"source\": 2, \"target\": 7}, {\"weight\": 18022, \"source\": 2, \"target\": 5}, {\"weight\": 8648, \"source\": 3, \"target\": 6}, {\"weight\": 4226, \"source\": 3, \"target\": 8}, {\"weight\": 12300, \"source\": 3, \"target\": 4}, {\"weight\": 7411, \"source\": 3, \"target\": 7}, {\"weight\": 4480, \"source\": 3, \"target\": 5}, {\"weight\": 12008, \"source\": 4, \"target\": 6}, {\"weight\": 9367, \"source\": 4, \"target\": 8}, {\"weight\": 12177, \"source\": 4, \"target\": 7}, {\"weight\": 14576, \"source\": 4, \"target\": 5}, {\"weight\": 12882, \"source\": 5, \"target\": 6}, {\"weight\": 7547, \"source\": 5, \"target\": 8}, {\"weight\": 11688, \"source\": 5, \"target\": 7}, {\"weight\": 8073, \"source\": 6, \"target\": 8}, {\"weight\": 1380, \"source\": 6, \"target\": 7}, {\"weight\": 6834, \"source\": 7, \"target\": 8}]}", "id": 656, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: RCH, GYE, MWZ, YQQ, VDM, HNM, LIN, IOM, BQK\n- Travel distances (in kilometers) between each pair of airports:\nRCH to GYE: 1764\nRCH to LIN: 9980\nRCH to YQQ: 7657\nRCH to BQK: 4541\nRCH to VDM: 6635\nRCH to IOM: 9390\nRCH to MWZ: 14724\nRCH to HNM: 10386\nGYE to LIN: 10194\nGYE to YQQ: 7261\nGYE to BQK: 4411\nGYE to VDM: 5115\nGYE to IOM: 9614\nGYE to MWZ: 14328\nGYE to HNM: 9723\nMWZ to LIN: 6575\nMWZ to YQQ: 14973\nMWZ to BQK: 14070\nMWZ to VDM: 12191\nMWZ to IOM: 7704\nMWZ to HNM: 18022\nYQQ to LIN: 8648\nYQQ to BQK: 4226\nYQQ to VDM: 12300\nYQQ to IOM: 7411\nYQQ to HNM: 4480\nVDM to LIN: 12008\nVDM to BQK: 9367\nVDM to IOM: 12177\nVDM to HNM: 14576\nHNM to LIN: 12882\nHNM to BQK: 7547\nHNM to IOM: 11688\nLIN to BQK: 8073\nLIN to IOM: 1380\nIOM to BQK: 6834\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: OZC, FRO, DIL, UAK, BPL, MSL, WLS, BYO, KMJ\n- Travel distances (in kilometers) between each pair of airports:\nOZC to MSL: 14834\nOZC to BYO: 20239\nOZC to UAK: 14029\nOZC to BPL: 5765\nOZC to KMJ: 3308\nOZC to DIL: 4101\nOZC to WLS: 7852\nOZC to FRO: 10847\nFRO to MSL: 7284\nFRO to BYO: 11648\nFRO to UAK: 3495\nFRO to BPL: 6136\nFRO to KMJ: 8809\nFRO to DIL: 13027\nFRO to WLS: 17134\nDIL to MSL: 18067\nDIL to BYO: 19033\nDIL to UAK: 16209\nDIL to BPL: 8391\nDIL to KMJ: 6343\nDIL to WLS: 7126\nUAK to MSL: 7532\nUAK to BYO: 14055\nUAK to BPL: 9351\nUAK to KMJ: 11991\nUAK to WLS: 17898\nBPL to MSL: 13145\nBPL to BYO: 16913\nBPL to KMJ: 4425\nBPL to WLS: 12750\nMSL to BYO: 8750\nMSL to KMJ: 12252\nMSL to WLS: 13179\nWLS to BYO: 16468\nWLS to KMJ: 9629\nBYO to KMJ: 19955\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 61341, "style": "rule" }
{ "exact_answer": 61341, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"OZC\", \"id\": 0}, {\"name\": \"FRO\", \"id\": 1}, {\"name\": \"DIL\", \"id\": 2}, {\"name\": \"UAK\", \"id\": 3}, {\"name\": \"BPL\", \"id\": 4}, {\"name\": \"MSL\", \"id\": 5}, {\"name\": \"WLS\", \"id\": 6}, {\"name\": \"BYO\", \"id\": 7}, {\"name\": \"KMJ\", \"id\": 8}], \"links\": [{\"weight\": 14834, \"source\": 0, \"target\": 5}, {\"weight\": 20239, \"source\": 0, \"target\": 7}, {\"weight\": 14029, \"source\": 0, \"target\": 3}, {\"weight\": 5765, \"source\": 0, \"target\": 4}, {\"weight\": 3308, \"source\": 0, \"target\": 8}, {\"weight\": 4101, \"source\": 0, \"target\": 2}, {\"weight\": 7852, \"source\": 0, \"target\": 6}, {\"weight\": 10847, \"source\": 0, \"target\": 1}, {\"weight\": 7284, \"source\": 1, \"target\": 5}, {\"weight\": 11648, \"source\": 1, \"target\": 7}, {\"weight\": 3495, \"source\": 1, \"target\": 3}, {\"weight\": 6136, \"source\": 1, \"target\": 4}, {\"weight\": 8809, \"source\": 1, \"target\": 8}, {\"weight\": 13027, \"source\": 1, \"target\": 2}, {\"weight\": 17134, \"source\": 1, \"target\": 6}, {\"weight\": 18067, \"source\": 2, \"target\": 5}, {\"weight\": 19033, \"source\": 2, \"target\": 7}, {\"weight\": 16209, \"source\": 2, \"target\": 3}, {\"weight\": 8391, \"source\": 2, \"target\": 4}, {\"weight\": 6343, \"source\": 2, \"target\": 8}, {\"weight\": 7126, \"source\": 2, \"target\": 6}, {\"weight\": 7532, \"source\": 3, \"target\": 5}, {\"weight\": 14055, \"source\": 3, \"target\": 7}, {\"weight\": 9351, \"source\": 3, \"target\": 4}, {\"weight\": 11991, \"source\": 3, \"target\": 8}, {\"weight\": 17898, \"source\": 3, \"target\": 6}, {\"weight\": 13145, \"source\": 4, \"target\": 5}, {\"weight\": 16913, \"source\": 4, \"target\": 7}, {\"weight\": 4425, \"source\": 4, \"target\": 8}, {\"weight\": 12750, \"source\": 4, \"target\": 6}, {\"weight\": 8750, \"source\": 5, \"target\": 7}, {\"weight\": 12252, \"source\": 5, \"target\": 8}, {\"weight\": 13179, \"source\": 5, \"target\": 6}, {\"weight\": 16468, \"source\": 6, \"target\": 7}, {\"weight\": 9629, \"source\": 6, \"target\": 8}, {\"weight\": 19955, \"source\": 7, \"target\": 8}]}", "id": 657, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: OZC, FRO, DIL, UAK, BPL, MSL, WLS, BYO, KMJ\n- Travel distances (in kilometers) between each pair of airports:\nOZC to MSL: 14834\nOZC to BYO: 20239\nOZC to UAK: 14029\nOZC to BPL: 5765\nOZC to KMJ: 3308\nOZC to DIL: 4101\nOZC to WLS: 7852\nOZC to FRO: 10847\nFRO to MSL: 7284\nFRO to BYO: 11648\nFRO to UAK: 3495\nFRO to BPL: 6136\nFRO to KMJ: 8809\nFRO to DIL: 13027\nFRO to WLS: 17134\nDIL to MSL: 18067\nDIL to BYO: 19033\nDIL to UAK: 16209\nDIL to BPL: 8391\nDIL to KMJ: 6343\nDIL to WLS: 7126\nUAK to MSL: 7532\nUAK to BYO: 14055\nUAK to BPL: 9351\nUAK to KMJ: 11991\nUAK to WLS: 17898\nBPL to MSL: 13145\nBPL to BYO: 16913\nBPL to KMJ: 4425\nBPL to WLS: 12750\nMSL to BYO: 8750\nMSL to KMJ: 12252\nMSL to WLS: 13179\nWLS to BYO: 16468\nWLS to KMJ: 9629\nBYO to KMJ: 19955\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: KOV, XIY, CLO, ZNE, UPG, MMB, GIG, SPR, BSC\n- Travel distances (in kilometers) between each pair of airports:\nKOV to CLO: 13287\nKOV to GIG: 13613\nKOV to XIY: 4181\nKOV to SPR: 12568\nKOV to BSC: 13439\nKOV to UPG: 8521\nKOV to MMB: 6847\nKOV to ZNE: 11525\nXIY to CLO: 15933\nXIY to GIG: 17196\nXIY to SPR: 14102\nXIY to BSC: 16226\nXIY to UPG: 4642\nXIY to MMB: 3274\nXIY to ZNE: 8483\nCLO to GIG: 4820\nCLO to SPR: 2155\nCLO to BSC: 569\nCLO to UPG: 19718\nCLO to MMB: 15243\nCLO to ZNE: 19828\nZNE to GIG: 17104\nZNE to SPR: 19716\nZNE to BSC: 20317\nZNE to UPG: 4143\nZNE to MMB: 10158\nUPG to GIG: 18301\nUPG to SPR: 17767\nUPG to BSC: 20019\nUPG to MMB: 6414\nMMB to GIG: 18904\nMMB to SPR: 13301\nMMB to BSC: 15522\nGIG to SPR: 6751\nGIG to BSC: 4972\nSPR to BSC: 2434\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 55380, "style": "rule" }
{ "exact_answer": 55380, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"KOV\", \"id\": 0}, {\"name\": \"XIY\", \"id\": 1}, {\"name\": \"CLO\", \"id\": 2}, {\"name\": \"ZNE\", \"id\": 3}, {\"name\": \"UPG\", \"id\": 4}, {\"name\": \"MMB\", \"id\": 5}, {\"name\": \"GIG\", \"id\": 6}, {\"name\": \"SPR\", \"id\": 7}, {\"name\": \"BSC\", \"id\": 8}], \"links\": [{\"weight\": 13287, \"source\": 0, \"target\": 2}, {\"weight\": 13613, \"source\": 0, \"target\": 6}, {\"weight\": 4181, \"source\": 0, \"target\": 1}, {\"weight\": 12568, \"source\": 0, \"target\": 7}, {\"weight\": 13439, \"source\": 0, \"target\": 8}, {\"weight\": 8521, \"source\": 0, \"target\": 4}, {\"weight\": 6847, \"source\": 0, \"target\": 5}, {\"weight\": 11525, \"source\": 0, \"target\": 3}, {\"weight\": 15933, \"source\": 1, \"target\": 2}, {\"weight\": 17196, \"source\": 1, \"target\": 6}, {\"weight\": 14102, \"source\": 1, \"target\": 7}, {\"weight\": 16226, \"source\": 1, \"target\": 8}, {\"weight\": 4642, \"source\": 1, \"target\": 4}, {\"weight\": 3274, \"source\": 1, \"target\": 5}, {\"weight\": 8483, \"source\": 1, \"target\": 3}, {\"weight\": 4820, \"source\": 2, \"target\": 6}, {\"weight\": 2155, \"source\": 2, \"target\": 7}, {\"weight\": 569, \"source\": 2, \"target\": 8}, {\"weight\": 19718, \"source\": 2, \"target\": 4}, {\"weight\": 15243, \"source\": 2, \"target\": 5}, {\"weight\": 19828, \"source\": 2, \"target\": 3}, {\"weight\": 17104, \"source\": 3, \"target\": 6}, {\"weight\": 19716, \"source\": 3, \"target\": 7}, {\"weight\": 20317, \"source\": 3, \"target\": 8}, {\"weight\": 4143, \"source\": 3, \"target\": 4}, {\"weight\": 10158, \"source\": 3, \"target\": 5}, {\"weight\": 18301, \"source\": 4, \"target\": 6}, {\"weight\": 17767, \"source\": 4, \"target\": 7}, {\"weight\": 20019, \"source\": 4, \"target\": 8}, {\"weight\": 6414, \"source\": 4, \"target\": 5}, {\"weight\": 18904, \"source\": 5, \"target\": 6}, {\"weight\": 13301, \"source\": 5, \"target\": 7}, {\"weight\": 15522, \"source\": 5, \"target\": 8}, {\"weight\": 6751, \"source\": 6, \"target\": 7}, {\"weight\": 4972, \"source\": 6, \"target\": 8}, {\"weight\": 2434, \"source\": 7, \"target\": 8}]}", "id": 658, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: KOV, XIY, CLO, ZNE, UPG, MMB, GIG, SPR, BSC\n- Travel distances (in kilometers) between each pair of airports:\nKOV to CLO: 13287\nKOV to GIG: 13613\nKOV to XIY: 4181\nKOV to SPR: 12568\nKOV to BSC: 13439\nKOV to UPG: 8521\nKOV to MMB: 6847\nKOV to ZNE: 11525\nXIY to CLO: 15933\nXIY to GIG: 17196\nXIY to SPR: 14102\nXIY to BSC: 16226\nXIY to UPG: 4642\nXIY to MMB: 3274\nXIY to ZNE: 8483\nCLO to GIG: 4820\nCLO to SPR: 2155\nCLO to BSC: 569\nCLO to UPG: 19718\nCLO to MMB: 15243\nCLO to ZNE: 19828\nZNE to GIG: 17104\nZNE to SPR: 19716\nZNE to BSC: 20317\nZNE to UPG: 4143\nZNE to MMB: 10158\nUPG to GIG: 18301\nUPG to SPR: 17767\nUPG to BSC: 20019\nUPG to MMB: 6414\nMMB to GIG: 18904\nMMB to SPR: 13301\nMMB to BSC: 15522\nGIG to SPR: 6751\nGIG to BSC: 4972\nSPR to BSC: 2434\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: DAL, LMN, PIE, MZH, KYP, ORI, GFN, AAT, VXE\n- Travel distances (in kilometers) between each pair of airports:\nDAL to ORI: 5381\nDAL to AAT: 13522\nDAL to PIE: 2155\nDAL to LMN: 14884\nDAL to MZH: 10664\nDAL to VXE: 8234\nDAL to KYP: 14998\nDAL to GFN: 14580\nLMN to ORI: 14920\nLMN to AAT: 6081\nLMN to PIE: 16201\nLMN to MZH: 10159\nLMN to VXE: 15485\nLMN to KYP: 3155\nLMN to GFN: 7136\nPIE to ORI: 6577\nPIE to AAT: 13296\nPIE to MZH: 10288\nPIE to VXE: 7701\nPIE to KYP: 15830\nPIE to GFN: 16252\nMZH to ORI: 13267\nMZH to AAT: 5680\nMZH to VXE: 6669\nMZH to KYP: 7790\nMZH to GFN: 15940\nKYP to ORI: 15070\nKYP to AAT: 4652\nKYP to VXE: 13314\nKYP to GFN: 9018\nORI to AAT: 14292\nORI to VXE: 11995\nORI to GFN: 13576\nGFN to AAT: 11724\nGFN to VXE: 19154\nAAT to VXE: 10937\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 56105, "style": "rule" }
{ "exact_answer": 56105, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"DAL\", \"id\": 0}, {\"name\": \"LMN\", \"id\": 1}, {\"name\": \"PIE\", \"id\": 2}, {\"name\": \"MZH\", \"id\": 3}, {\"name\": \"KYP\", \"id\": 4}, {\"name\": \"ORI\", \"id\": 5}, {\"name\": \"GFN\", \"id\": 6}, {\"name\": \"AAT\", \"id\": 7}, {\"name\": \"VXE\", \"id\": 8}], \"links\": [{\"weight\": 5381, \"source\": 0, \"target\": 5}, {\"weight\": 13522, \"source\": 0, \"target\": 7}, {\"weight\": 2155, \"source\": 0, \"target\": 2}, {\"weight\": 14884, \"source\": 0, \"target\": 1}, {\"weight\": 10664, \"source\": 0, \"target\": 3}, {\"weight\": 8234, \"source\": 0, \"target\": 8}, {\"weight\": 14998, \"source\": 0, \"target\": 4}, {\"weight\": 14580, \"source\": 0, \"target\": 6}, {\"weight\": 14920, \"source\": 1, \"target\": 5}, {\"weight\": 6081, \"source\": 1, \"target\": 7}, {\"weight\": 16201, \"source\": 1, \"target\": 2}, {\"weight\": 10159, \"source\": 1, \"target\": 3}, {\"weight\": 15485, \"source\": 1, \"target\": 8}, {\"weight\": 3155, \"source\": 1, \"target\": 4}, {\"weight\": 7136, \"source\": 1, \"target\": 6}, {\"weight\": 6577, \"source\": 2, \"target\": 5}, {\"weight\": 13296, \"source\": 2, \"target\": 7}, {\"weight\": 10288, \"source\": 2, \"target\": 3}, {\"weight\": 7701, \"source\": 2, \"target\": 8}, {\"weight\": 15830, \"source\": 2, \"target\": 4}, {\"weight\": 16252, \"source\": 2, \"target\": 6}, {\"weight\": 13267, \"source\": 3, \"target\": 5}, {\"weight\": 5680, \"source\": 3, \"target\": 7}, {\"weight\": 6669, \"source\": 3, \"target\": 8}, {\"weight\": 7790, \"source\": 3, \"target\": 4}, {\"weight\": 15940, \"source\": 3, \"target\": 6}, {\"weight\": 15070, \"source\": 4, \"target\": 5}, {\"weight\": 4652, \"source\": 4, \"target\": 7}, {\"weight\": 13314, \"source\": 4, \"target\": 8}, {\"weight\": 9018, \"source\": 4, \"target\": 6}, {\"weight\": 14292, \"source\": 5, \"target\": 7}, {\"weight\": 11995, \"source\": 5, \"target\": 8}, {\"weight\": 13576, \"source\": 5, \"target\": 6}, {\"weight\": 11724, \"source\": 6, \"target\": 7}, {\"weight\": 19154, \"source\": 6, \"target\": 8}, {\"weight\": 10937, \"source\": 7, \"target\": 8}]}", "id": 659, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: DAL, LMN, PIE, MZH, KYP, ORI, GFN, AAT, VXE\n- Travel distances (in kilometers) between each pair of airports:\nDAL to ORI: 5381\nDAL to AAT: 13522\nDAL to PIE: 2155\nDAL to LMN: 14884\nDAL to MZH: 10664\nDAL to VXE: 8234\nDAL to KYP: 14998\nDAL to GFN: 14580\nLMN to ORI: 14920\nLMN to AAT: 6081\nLMN to PIE: 16201\nLMN to MZH: 10159\nLMN to VXE: 15485\nLMN to KYP: 3155\nLMN to GFN: 7136\nPIE to ORI: 6577\nPIE to AAT: 13296\nPIE to MZH: 10288\nPIE to VXE: 7701\nPIE to KYP: 15830\nPIE to GFN: 16252\nMZH to ORI: 13267\nMZH to AAT: 5680\nMZH to VXE: 6669\nMZH to KYP: 7790\nMZH to GFN: 15940\nKYP to ORI: 15070\nKYP to AAT: 4652\nKYP to VXE: 13314\nKYP to GFN: 9018\nORI to AAT: 14292\nORI to VXE: 11995\nORI to GFN: 13576\nGFN to AAT: 11724\nGFN to VXE: 19154\nAAT to VXE: 10937\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: EUG, LNB, TBG, MQX, KSU, MNG, QFG, RJL, LGB\n- Travel distances (in kilometers) between each pair of airports:\nEUG to LGB: 1284\nEUG to KSU: 7978\nEUG to TBG: 13658\nEUG to MQX: 14418\nEUG to QFG: 8120\nEUG to RJL: 9462\nEUG to LNB: 10554\nEUG to MNG: 14513\nLNB to LGB: 10622\nLNB to KSU: 16576\nLNB to TBG: 3620\nLNB to MQX: 16009\nLNB to QFG: 18213\nLNB to RJL: 18627\nLNB to MNG: 5234\nTBG to LGB: 13726\nTBG to KSU: 14758\nTBG to MQX: 14001\nTBG to QFG: 18055\nTBG to RJL: 16619\nTBG to MNG: 3689\nMQX to LGB: 15186\nMQX to KSU: 7021\nMQX to QFG: 10189\nMQX to RJL: 6559\nMQX to MNG: 11966\nKSU to LGB: 8897\nKSU to QFG: 3724\nKSU to RJL: 2870\nKSU to MNG: 13585\nMNG to LGB: 15193\nMNG to QFG: 16882\nMNG to RJL: 15329\nQFG to LGB: 9039\nQFG to RJL: 5208\nRJL to LGB: 9791\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 52454, "style": "rule" }
{ "exact_answer": 52454, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"EUG\", \"id\": 0}, {\"name\": \"LNB\", \"id\": 1}, {\"name\": \"TBG\", \"id\": 2}, {\"name\": \"MQX\", \"id\": 3}, {\"name\": \"KSU\", \"id\": 4}, {\"name\": \"MNG\", \"id\": 5}, {\"name\": \"QFG\", \"id\": 6}, {\"name\": \"RJL\", \"id\": 7}, {\"name\": \"LGB\", \"id\": 8}], \"links\": [{\"weight\": 1284, \"source\": 0, \"target\": 8}, {\"weight\": 7978, \"source\": 0, \"target\": 4}, {\"weight\": 13658, \"source\": 0, \"target\": 2}, {\"weight\": 14418, \"source\": 0, \"target\": 3}, {\"weight\": 8120, \"source\": 0, \"target\": 6}, {\"weight\": 9462, \"source\": 0, \"target\": 7}, {\"weight\": 10554, \"source\": 0, \"target\": 1}, {\"weight\": 14513, \"source\": 0, \"target\": 5}, {\"weight\": 10622, \"source\": 1, \"target\": 8}, {\"weight\": 16576, \"source\": 1, \"target\": 4}, {\"weight\": 3620, \"source\": 1, \"target\": 2}, {\"weight\": 16009, \"source\": 1, \"target\": 3}, {\"weight\": 18213, \"source\": 1, \"target\": 6}, {\"weight\": 18627, \"source\": 1, \"target\": 7}, {\"weight\": 5234, \"source\": 1, \"target\": 5}, {\"weight\": 13726, \"source\": 2, \"target\": 8}, {\"weight\": 14758, \"source\": 2, \"target\": 4}, {\"weight\": 14001, \"source\": 2, \"target\": 3}, {\"weight\": 18055, \"source\": 2, \"target\": 6}, {\"weight\": 16619, \"source\": 2, \"target\": 7}, {\"weight\": 3689, \"source\": 2, \"target\": 5}, {\"weight\": 15186, \"source\": 3, \"target\": 8}, {\"weight\": 7021, \"source\": 3, \"target\": 4}, {\"weight\": 10189, \"source\": 3, \"target\": 6}, {\"weight\": 6559, \"source\": 3, \"target\": 7}, {\"weight\": 11966, \"source\": 3, \"target\": 5}, {\"weight\": 8897, \"source\": 4, \"target\": 8}, {\"weight\": 3724, \"source\": 4, \"target\": 6}, {\"weight\": 2870, \"source\": 4, \"target\": 7}, {\"weight\": 13585, \"source\": 4, \"target\": 5}, {\"weight\": 15193, \"source\": 5, \"target\": 8}, {\"weight\": 16882, \"source\": 5, \"target\": 6}, {\"weight\": 15329, \"source\": 5, \"target\": 7}, {\"weight\": 9039, \"source\": 6, \"target\": 8}, {\"weight\": 5208, \"source\": 6, \"target\": 7}, {\"weight\": 9791, \"source\": 7, \"target\": 8}]}", "id": 660, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: EUG, LNB, TBG, MQX, KSU, MNG, QFG, RJL, LGB\n- Travel distances (in kilometers) between each pair of airports:\nEUG to LGB: 1284\nEUG to KSU: 7978\nEUG to TBG: 13658\nEUG to MQX: 14418\nEUG to QFG: 8120\nEUG to RJL: 9462\nEUG to LNB: 10554\nEUG to MNG: 14513\nLNB to LGB: 10622\nLNB to KSU: 16576\nLNB to TBG: 3620\nLNB to MQX: 16009\nLNB to QFG: 18213\nLNB to RJL: 18627\nLNB to MNG: 5234\nTBG to LGB: 13726\nTBG to KSU: 14758\nTBG to MQX: 14001\nTBG to QFG: 18055\nTBG to RJL: 16619\nTBG to MNG: 3689\nMQX to LGB: 15186\nMQX to KSU: 7021\nMQX to QFG: 10189\nMQX to RJL: 6559\nMQX to MNG: 11966\nKSU to LGB: 8897\nKSU to QFG: 3724\nKSU to RJL: 2870\nKSU to MNG: 13585\nMNG to LGB: 15193\nMNG to QFG: 16882\nMNG to RJL: 15329\nQFG to LGB: 9039\nQFG to RJL: 5208\nRJL to LGB: 9791\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LUM, CYS, WLK, GOP, GWL, BBK, LEQ, SPR, VPY\n- Travel distances (in kilometers) between each pair of airports:\nLUM to WLK: 14425\nLUM to SPR: 15592\nLUM to GOP: 3658\nLUM to GWL: 4544\nLUM to BBK: 11242\nLUM to CYS: 12849\nLUM to LEQ: 9674\nLUM to VPY: 11520\nCYS to WLK: 5004\nCYS to SPR: 3143\nCYS to GOP: 14193\nCYS to GWL: 15382\nCYS to BBK: 15615\nCYS to LEQ: 8054\nCYS to VPY: 16775\nWLK to SPR: 7859\nWLK to GOP: 16465\nWLK to GWL: 17758\nWLK to BBK: 19552\nWLK to LEQ: 11317\nWLK to VPY: 20712\nGOP to SPR: 15383\nGOP to GWL: 2765\nGOP to BBK: 9210\nGOP to LEQ: 7882\nGOP to VPY: 9608\nGWL to SPR: 16480\nGWL to BBK: 8640\nGWL to LEQ: 8668\nGWL to VPY: 9038\nBBK to SPR: 14501\nBBK to LEQ: 9803\nBBK to VPY: 2168\nLEQ to SPR: 8636\nLEQ to VPY: 10668\nSPR to VPY: 15173\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 58640, "style": "rule" }
{ "exact_answer": 58640, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"LUM\", \"id\": 0}, {\"name\": \"CYS\", \"id\": 1}, {\"name\": \"WLK\", \"id\": 2}, {\"name\": \"GOP\", \"id\": 3}, {\"name\": \"GWL\", \"id\": 4}, {\"name\": \"BBK\", \"id\": 5}, {\"name\": \"LEQ\", \"id\": 6}, {\"name\": \"SPR\", \"id\": 7}, {\"name\": \"VPY\", \"id\": 8}], \"links\": [{\"weight\": 14425, \"source\": 0, \"target\": 2}, {\"weight\": 15592, \"source\": 0, \"target\": 7}, {\"weight\": 3658, \"source\": 0, \"target\": 3}, {\"weight\": 4544, \"source\": 0, \"target\": 4}, {\"weight\": 11242, \"source\": 0, \"target\": 5}, {\"weight\": 12849, \"source\": 0, \"target\": 1}, {\"weight\": 9674, \"source\": 0, \"target\": 6}, {\"weight\": 11520, \"source\": 0, \"target\": 8}, {\"weight\": 5004, \"source\": 1, \"target\": 2}, {\"weight\": 3143, \"source\": 1, \"target\": 7}, {\"weight\": 14193, \"source\": 1, \"target\": 3}, {\"weight\": 15382, \"source\": 1, \"target\": 4}, {\"weight\": 15615, \"source\": 1, \"target\": 5}, {\"weight\": 8054, \"source\": 1, \"target\": 6}, {\"weight\": 16775, \"source\": 1, \"target\": 8}, {\"weight\": 7859, \"source\": 2, \"target\": 7}, {\"weight\": 16465, \"source\": 2, \"target\": 3}, {\"weight\": 17758, \"source\": 2, \"target\": 4}, {\"weight\": 19552, \"source\": 2, \"target\": 5}, {\"weight\": 11317, \"source\": 2, \"target\": 6}, {\"weight\": 20712, \"source\": 2, \"target\": 8}, {\"weight\": 15383, \"source\": 3, \"target\": 7}, {\"weight\": 2765, \"source\": 3, \"target\": 4}, {\"weight\": 9210, \"source\": 3, \"target\": 5}, {\"weight\": 7882, \"source\": 3, \"target\": 6}, {\"weight\": 9608, \"source\": 3, \"target\": 8}, {\"weight\": 16480, \"source\": 4, \"target\": 7}, {\"weight\": 8640, \"source\": 4, \"target\": 5}, {\"weight\": 8668, \"source\": 4, \"target\": 6}, {\"weight\": 9038, \"source\": 4, \"target\": 8}, {\"weight\": 14501, \"source\": 5, \"target\": 7}, {\"weight\": 9803, \"source\": 5, \"target\": 6}, {\"weight\": 2168, \"source\": 5, \"target\": 8}, {\"weight\": 8636, \"source\": 6, \"target\": 7}, {\"weight\": 10668, \"source\": 6, \"target\": 8}, {\"weight\": 15173, \"source\": 7, \"target\": 8}]}", "id": 661, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LUM, CYS, WLK, GOP, GWL, BBK, LEQ, SPR, VPY\n- Travel distances (in kilometers) between each pair of airports:\nLUM to WLK: 14425\nLUM to SPR: 15592\nLUM to GOP: 3658\nLUM to GWL: 4544\nLUM to BBK: 11242\nLUM to CYS: 12849\nLUM to LEQ: 9674\nLUM to VPY: 11520\nCYS to WLK: 5004\nCYS to SPR: 3143\nCYS to GOP: 14193\nCYS to GWL: 15382\nCYS to BBK: 15615\nCYS to LEQ: 8054\nCYS to VPY: 16775\nWLK to SPR: 7859\nWLK to GOP: 16465\nWLK to GWL: 17758\nWLK to BBK: 19552\nWLK to LEQ: 11317\nWLK to VPY: 20712\nGOP to SPR: 15383\nGOP to GWL: 2765\nGOP to BBK: 9210\nGOP to LEQ: 7882\nGOP to VPY: 9608\nGWL to SPR: 16480\nGWL to BBK: 8640\nGWL to LEQ: 8668\nGWL to VPY: 9038\nBBK to SPR: 14501\nBBK to LEQ: 9803\nBBK to VPY: 2168\nLEQ to SPR: 8636\nLEQ to VPY: 10668\nSPR to VPY: 15173\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: YKL, KCM, VIX, CEC, HOD, JSH, SRX, TSR, BIA\n- Travel distances (in kilometers) between each pair of airports:\nYKL to BIA: 6431\nYKL to JSH: 7972\nYKL to VIX: 9539\nYKL to TSR: 6904\nYKL to HOD: 10798\nYKL to SRX: 7889\nYKL to KCM: 8485\nYKL to CEC: 5556\nKCM to BIA: 2816\nKCM to JSH: 1630\nKCM to VIX: 11223\nKCM to TSR: 1637\nKCM to HOD: 3459\nKCM to SRX: 2855\nKCM to CEC: 12089\nVIX to BIA: 8931\nVIX to JSH: 10407\nVIX to TSR: 9870\nVIX to HOD: 11162\nVIX to SRX: 9419\nVIX to CEC: 11134\nCEC to BIA: 10323\nCEC to JSH: 11757\nCEC to TSR: 10657\nCEC to HOD: 14527\nCEC to SRX: 11781\nHOD to BIA: 4910\nHOD to JSH: 3543\nHOD to TSR: 4077\nHOD to SRX: 4075\nJSH to BIA: 2125\nJSH to TSR: 1513\nJSH to SRX: 1974\nSRX to BIA: 1891\nSRX to TSR: 2294\nTSR to BIA: 1626\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 44757, "style": "rule" }
{ "exact_answer": 44757, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"YKL\", \"id\": 0}, {\"name\": \"KCM\", \"id\": 1}, {\"name\": \"VIX\", \"id\": 2}, {\"name\": \"CEC\", \"id\": 3}, {\"name\": \"HOD\", \"id\": 4}, {\"name\": \"JSH\", \"id\": 5}, {\"name\": \"SRX\", \"id\": 6}, {\"name\": \"TSR\", \"id\": 7}, {\"name\": \"BIA\", \"id\": 8}], \"links\": [{\"weight\": 6431, \"source\": 0, \"target\": 8}, {\"weight\": 7972, \"source\": 0, \"target\": 5}, {\"weight\": 9539, \"source\": 0, \"target\": 2}, {\"weight\": 6904, \"source\": 0, \"target\": 7}, {\"weight\": 10798, \"source\": 0, \"target\": 4}, {\"weight\": 7889, \"source\": 0, \"target\": 6}, {\"weight\": 8485, \"source\": 0, \"target\": 1}, {\"weight\": 5556, \"source\": 0, \"target\": 3}, {\"weight\": 2816, \"source\": 1, \"target\": 8}, {\"weight\": 1630, \"source\": 1, \"target\": 5}, {\"weight\": 11223, \"source\": 1, \"target\": 2}, {\"weight\": 1637, \"source\": 1, \"target\": 7}, {\"weight\": 3459, \"source\": 1, \"target\": 4}, {\"weight\": 2855, \"source\": 1, \"target\": 6}, {\"weight\": 12089, \"source\": 1, \"target\": 3}, {\"weight\": 8931, \"source\": 2, \"target\": 8}, {\"weight\": 10407, \"source\": 2, \"target\": 5}, {\"weight\": 9870, \"source\": 2, \"target\": 7}, {\"weight\": 11162, \"source\": 2, \"target\": 4}, {\"weight\": 9419, \"source\": 2, \"target\": 6}, {\"weight\": 11134, \"source\": 2, \"target\": 3}, {\"weight\": 10323, \"source\": 3, \"target\": 8}, {\"weight\": 11757, \"source\": 3, \"target\": 5}, {\"weight\": 10657, \"source\": 3, \"target\": 7}, {\"weight\": 14527, \"source\": 3, \"target\": 4}, {\"weight\": 11781, \"source\": 3, \"target\": 6}, {\"weight\": 4910, \"source\": 4, \"target\": 8}, {\"weight\": 3543, \"source\": 4, \"target\": 5}, {\"weight\": 4077, \"source\": 4, \"target\": 7}, {\"weight\": 4075, \"source\": 4, \"target\": 6}, {\"weight\": 2125, \"source\": 5, \"target\": 8}, {\"weight\": 1513, \"source\": 5, \"target\": 7}, {\"weight\": 1974, \"source\": 5, \"target\": 6}, {\"weight\": 1891, \"source\": 6, \"target\": 8}, {\"weight\": 2294, \"source\": 6, \"target\": 7}, {\"weight\": 1626, \"source\": 7, \"target\": 8}]}", "id": 662, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: YKL, KCM, VIX, CEC, HOD, JSH, SRX, TSR, BIA\n- Travel distances (in kilometers) between each pair of airports:\nYKL to BIA: 6431\nYKL to JSH: 7972\nYKL to VIX: 9539\nYKL to TSR: 6904\nYKL to HOD: 10798\nYKL to SRX: 7889\nYKL to KCM: 8485\nYKL to CEC: 5556\nKCM to BIA: 2816\nKCM to JSH: 1630\nKCM to VIX: 11223\nKCM to TSR: 1637\nKCM to HOD: 3459\nKCM to SRX: 2855\nKCM to CEC: 12089\nVIX to BIA: 8931\nVIX to JSH: 10407\nVIX to TSR: 9870\nVIX to HOD: 11162\nVIX to SRX: 9419\nVIX to CEC: 11134\nCEC to BIA: 10323\nCEC to JSH: 11757\nCEC to TSR: 10657\nCEC to HOD: 14527\nCEC to SRX: 11781\nHOD to BIA: 4910\nHOD to JSH: 3543\nHOD to TSR: 4077\nHOD to SRX: 4075\nJSH to BIA: 2125\nJSH to TSR: 1513\nJSH to SRX: 1974\nSRX to BIA: 1891\nSRX to TSR: 2294\nTSR to BIA: 1626\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: NQU, BTU, HOR, BIS, TLS, LAD, CMH, SMS, JOI\n- Travel distances (in kilometers) between each pair of airports:\nNQU to TLS: 8983\nNQU to CMH: 4428\nNQU to LAD: 11168\nNQU to JOI: 5151\nNQU to BTU: 19088\nNQU to BIS: 5798\nNQU to SMS: 14649\nNQU to HOR: 8388\nBTU to TLS: 11896\nBTU to CMH: 15022\nBTU to LAD: 11579\nBTU to JOI: 17537\nBTU to BIS: 14714\nBTU to SMS: 7666\nBTU to HOR: 14485\nHOR to TLS: 2707\nHOR to CMH: 5149\nHOR to LAD: 7476\nHOR to JOI: 8859\nHOR to BIS: 6496\nHOR to SMS: 11361\nBIS to TLS: 7870\nBIS to CMH: 1624\nBIS to LAD: 12819\nBIS to JOI: 9854\nBIS to SMS: 16452\nTLS to CMH: 6724\nTLS to LAD: 6286\nTLS to JOI: 9302\nTLS to SMS: 8773\nLAD to CMH: 11425\nLAD to JOI: 6919\nLAD to SMS: 4936\nCMH to JOI: 8410\nCMH to SMS: 15405\nSMS to JOI: 10274\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 51823, "style": "rule" }
{ "exact_answer": 51823, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"NQU\", \"id\": 0}, {\"name\": \"BTU\", \"id\": 1}, {\"name\": \"HOR\", \"id\": 2}, {\"name\": \"BIS\", \"id\": 3}, {\"name\": \"TLS\", \"id\": 4}, {\"name\": \"LAD\", \"id\": 5}, {\"name\": \"CMH\", \"id\": 6}, {\"name\": \"SMS\", \"id\": 7}, {\"name\": \"JOI\", \"id\": 8}], \"links\": [{\"weight\": 8983, \"source\": 0, \"target\": 4}, {\"weight\": 4428, \"source\": 0, \"target\": 6}, {\"weight\": 11168, \"source\": 0, \"target\": 5}, {\"weight\": 5151, \"source\": 0, \"target\": 8}, {\"weight\": 19088, \"source\": 0, \"target\": 1}, {\"weight\": 5798, \"source\": 0, \"target\": 3}, {\"weight\": 14649, \"source\": 0, \"target\": 7}, {\"weight\": 8388, \"source\": 0, \"target\": 2}, {\"weight\": 11896, \"source\": 1, \"target\": 4}, {\"weight\": 15022, \"source\": 1, \"target\": 6}, {\"weight\": 11579, \"source\": 1, \"target\": 5}, {\"weight\": 17537, \"source\": 1, \"target\": 8}, {\"weight\": 14714, \"source\": 1, \"target\": 3}, {\"weight\": 7666, \"source\": 1, \"target\": 7}, {\"weight\": 14485, \"source\": 1, \"target\": 2}, {\"weight\": 2707, \"source\": 2, \"target\": 4}, {\"weight\": 5149, \"source\": 2, \"target\": 6}, {\"weight\": 7476, \"source\": 2, \"target\": 5}, {\"weight\": 8859, \"source\": 2, \"target\": 8}, {\"weight\": 6496, \"source\": 2, \"target\": 3}, {\"weight\": 11361, \"source\": 2, \"target\": 7}, {\"weight\": 7870, \"source\": 3, \"target\": 4}, {\"weight\": 1624, \"source\": 3, \"target\": 6}, {\"weight\": 12819, \"source\": 3, \"target\": 5}, {\"weight\": 9854, \"source\": 3, \"target\": 8}, {\"weight\": 16452, \"source\": 3, \"target\": 7}, {\"weight\": 6724, \"source\": 4, \"target\": 6}, {\"weight\": 6286, \"source\": 4, \"target\": 5}, {\"weight\": 9302, \"source\": 4, \"target\": 8}, {\"weight\": 8773, \"source\": 4, \"target\": 7}, {\"weight\": 11425, \"source\": 5, \"target\": 6}, {\"weight\": 6919, \"source\": 5, \"target\": 8}, {\"weight\": 4936, \"source\": 5, \"target\": 7}, {\"weight\": 8410, \"source\": 6, \"target\": 8}, {\"weight\": 15405, \"source\": 6, \"target\": 7}, {\"weight\": 10274, \"source\": 7, \"target\": 8}]}", "id": 663, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: NQU, BTU, HOR, BIS, TLS, LAD, CMH, SMS, JOI\n- Travel distances (in kilometers) between each pair of airports:\nNQU to TLS: 8983\nNQU to CMH: 4428\nNQU to LAD: 11168\nNQU to JOI: 5151\nNQU to BTU: 19088\nNQU to BIS: 5798\nNQU to SMS: 14649\nNQU to HOR: 8388\nBTU to TLS: 11896\nBTU to CMH: 15022\nBTU to LAD: 11579\nBTU to JOI: 17537\nBTU to BIS: 14714\nBTU to SMS: 7666\nBTU to HOR: 14485\nHOR to TLS: 2707\nHOR to CMH: 5149\nHOR to LAD: 7476\nHOR to JOI: 8859\nHOR to BIS: 6496\nHOR to SMS: 11361\nBIS to TLS: 7870\nBIS to CMH: 1624\nBIS to LAD: 12819\nBIS to JOI: 9854\nBIS to SMS: 16452\nTLS to CMH: 6724\nTLS to LAD: 6286\nTLS to JOI: 9302\nTLS to SMS: 8773\nLAD to CMH: 11425\nLAD to JOI: 6919\nLAD to SMS: 4936\nCMH to JOI: 8410\nCMH to SMS: 15405\nSMS to JOI: 10274\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: HTN, GBB, GWL, RJA, HSG, SKZ, YZT, BNA, SHJ\n- Travel distances (in kilometers) between each pair of airports:\nHTN to SHJ: 4591\nHTN to YZT: 12261\nHTN to HSG: 4921\nHTN to RJA: 4968\nHTN to BNA: 13223\nHTN to GWL: 5476\nHTN to SKZ: 3459\nHTN to GBB: 6694\nGBB to SHJ: 5413\nGBB to YZT: 11227\nGBB to HSG: 9053\nGBB to RJA: 7684\nGBB to BNA: 10357\nGBB to GWL: 7999\nGBB to SKZ: 6325\nGWL to SHJ: 2884\nGWL to YZT: 14590\nGWL to HSG: 6876\nGWL to RJA: 1947\nGWL to BNA: 14546\nGWL to SKZ: 2198\nRJA to SHJ: 2885\nRJA to YZT: 13973\nRJA to HSG: 5843\nRJA to BNA: 14281\nRJA to SKZ: 2203\nHSG to SHJ: 7287\nHSG to YZT: 8808\nHSG to BNA: 11772\nHSG to SKZ: 6163\nSKZ to SHJ: 1524\nSKZ to YZT: 13503\nSKZ to BNA: 12791\nYZT to SHJ: 12994\nYZT to BNA: 3725\nBNA to SHJ: 12124\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 43713, "style": "rule" }
{ "exact_answer": 43713, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"HTN\", \"id\": 0}, {\"name\": \"GBB\", \"id\": 1}, {\"name\": \"GWL\", \"id\": 2}, {\"name\": \"RJA\", \"id\": 3}, {\"name\": \"HSG\", \"id\": 4}, {\"name\": \"SKZ\", \"id\": 5}, {\"name\": \"YZT\", \"id\": 6}, {\"name\": \"BNA\", \"id\": 7}, {\"name\": \"SHJ\", \"id\": 8}], \"links\": [{\"weight\": 4591, \"source\": 0, \"target\": 8}, {\"weight\": 12261, \"source\": 0, \"target\": 6}, {\"weight\": 4921, \"source\": 0, \"target\": 4}, {\"weight\": 4968, \"source\": 0, \"target\": 3}, {\"weight\": 13223, \"source\": 0, \"target\": 7}, {\"weight\": 5476, \"source\": 0, \"target\": 2}, {\"weight\": 3459, \"source\": 0, \"target\": 5}, {\"weight\": 6694, \"source\": 0, \"target\": 1}, {\"weight\": 5413, \"source\": 1, \"target\": 8}, {\"weight\": 11227, \"source\": 1, \"target\": 6}, {\"weight\": 9053, \"source\": 1, \"target\": 4}, {\"weight\": 7684, \"source\": 1, \"target\": 3}, {\"weight\": 10357, \"source\": 1, \"target\": 7}, {\"weight\": 7999, \"source\": 1, \"target\": 2}, {\"weight\": 6325, \"source\": 1, \"target\": 5}, {\"weight\": 2884, \"source\": 2, \"target\": 8}, {\"weight\": 14590, \"source\": 2, \"target\": 6}, {\"weight\": 6876, \"source\": 2, \"target\": 4}, {\"weight\": 1947, \"source\": 2, \"target\": 3}, {\"weight\": 14546, \"source\": 2, \"target\": 7}, {\"weight\": 2198, \"source\": 2, \"target\": 5}, {\"weight\": 2885, \"source\": 3, \"target\": 8}, {\"weight\": 13973, \"source\": 3, \"target\": 6}, {\"weight\": 5843, \"source\": 3, \"target\": 4}, {\"weight\": 14281, \"source\": 3, \"target\": 7}, {\"weight\": 2203, \"source\": 3, \"target\": 5}, {\"weight\": 7287, \"source\": 4, \"target\": 8}, {\"weight\": 8808, \"source\": 4, \"target\": 6}, {\"weight\": 11772, \"source\": 4, \"target\": 7}, {\"weight\": 6163, \"source\": 4, \"target\": 5}, {\"weight\": 1524, \"source\": 5, \"target\": 8}, {\"weight\": 13503, \"source\": 5, \"target\": 6}, {\"weight\": 12791, \"source\": 5, \"target\": 7}, {\"weight\": 12994, \"source\": 6, \"target\": 8}, {\"weight\": 3725, \"source\": 6, \"target\": 7}, {\"weight\": 12124, \"source\": 7, \"target\": 8}]}", "id": 664, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: HTN, GBB, GWL, RJA, HSG, SKZ, YZT, BNA, SHJ\n- Travel distances (in kilometers) between each pair of airports:\nHTN to SHJ: 4591\nHTN to YZT: 12261\nHTN to HSG: 4921\nHTN to RJA: 4968\nHTN to BNA: 13223\nHTN to GWL: 5476\nHTN to SKZ: 3459\nHTN to GBB: 6694\nGBB to SHJ: 5413\nGBB to YZT: 11227\nGBB to HSG: 9053\nGBB to RJA: 7684\nGBB to BNA: 10357\nGBB to GWL: 7999\nGBB to SKZ: 6325\nGWL to SHJ: 2884\nGWL to YZT: 14590\nGWL to HSG: 6876\nGWL to RJA: 1947\nGWL to BNA: 14546\nGWL to SKZ: 2198\nRJA to SHJ: 2885\nRJA to YZT: 13973\nRJA to HSG: 5843\nRJA to BNA: 14281\nRJA to SKZ: 2203\nHSG to SHJ: 7287\nHSG to YZT: 8808\nHSG to BNA: 11772\nHSG to SKZ: 6163\nSKZ to SHJ: 1524\nSKZ to YZT: 13503\nSKZ to BNA: 12791\nYZT to SHJ: 12994\nYZT to BNA: 3725\nBNA to SHJ: 12124\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CPC, YWB, GBB, KOI, GXH, EBJ, JIC, RAH, HAH\n- Travel distances (in kilometers) between each pair of airports:\nCPC to YWB: 12695\nCPC to GXH: 19955\nCPC to HAH: 13472\nCPC to KOI: 13170\nCPC to EBJ: 13261\nCPC to JIC: 20159\nCPC to RAH: 14942\nCPC to GBB: 16540\nYWB to GXH: 14431\nYWB to HAH: 14226\nYWB to KOI: 6896\nYWB to EBJ: 6942\nYWB to JIC: 14200\nYWB to RAH: 11599\nYWB to GBB: 10370\nGBB to GXH: 8360\nGBB to HAH: 9342\nGBB to KOI: 4423\nGBB to EBJ: 3617\nGBB to JIC: 7609\nGBB to RAH: 6077\nKOI to GXH: 8762\nKOI to HAH: 8897\nKOI to EBJ: 886\nKOI to JIC: 8243\nKOI to RAH: 6147\nGXH to HAH: 9233\nGXH to EBJ: 8085\nGXH to JIC: 1287\nGXH to RAH: 6291\nEBJ to HAH: 8235\nEBJ to JIC: 7437\nEBJ to RAH: 5261\nJIC to HAH: 9664\nJIC to RAH: 6722\nRAH to HAH: 4710\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 57463, "style": "rule" }
{ "exact_answer": 57463, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"CPC\", \"id\": 0}, {\"name\": \"YWB\", \"id\": 1}, {\"name\": \"GBB\", \"id\": 2}, {\"name\": \"KOI\", \"id\": 3}, {\"name\": \"GXH\", \"id\": 4}, {\"name\": \"EBJ\", \"id\": 5}, {\"name\": \"JIC\", \"id\": 6}, {\"name\": \"RAH\", \"id\": 7}, {\"name\": \"HAH\", \"id\": 8}], \"links\": [{\"weight\": 12695, \"source\": 0, \"target\": 1}, {\"weight\": 19955, \"source\": 0, \"target\": 4}, {\"weight\": 13472, \"source\": 0, \"target\": 8}, {\"weight\": 13170, \"source\": 0, \"target\": 3}, {\"weight\": 13261, \"source\": 0, \"target\": 5}, {\"weight\": 20159, \"source\": 0, \"target\": 6}, {\"weight\": 14942, \"source\": 0, \"target\": 7}, {\"weight\": 16540, \"source\": 0, \"target\": 2}, {\"weight\": 14431, \"source\": 1, \"target\": 4}, {\"weight\": 14226, \"source\": 1, \"target\": 8}, {\"weight\": 6896, \"source\": 1, \"target\": 3}, {\"weight\": 6942, \"source\": 1, \"target\": 5}, {\"weight\": 14200, \"source\": 1, \"target\": 6}, {\"weight\": 11599, \"source\": 1, \"target\": 7}, {\"weight\": 10370, \"source\": 1, \"target\": 2}, {\"weight\": 8360, \"source\": 2, \"target\": 4}, {\"weight\": 9342, \"source\": 2, \"target\": 8}, {\"weight\": 4423, \"source\": 2, \"target\": 3}, {\"weight\": 3617, \"source\": 2, \"target\": 5}, {\"weight\": 7609, \"source\": 2, \"target\": 6}, {\"weight\": 6077, \"source\": 2, \"target\": 7}, {\"weight\": 8762, \"source\": 3, \"target\": 4}, {\"weight\": 8897, \"source\": 3, \"target\": 8}, {\"weight\": 886, \"source\": 3, \"target\": 5}, {\"weight\": 8243, \"source\": 3, \"target\": 6}, {\"weight\": 6147, \"source\": 3, \"target\": 7}, {\"weight\": 9233, \"source\": 4, \"target\": 8}, {\"weight\": 8085, \"source\": 4, \"target\": 5}, {\"weight\": 1287, \"source\": 4, \"target\": 6}, {\"weight\": 6291, \"source\": 4, \"target\": 7}, {\"weight\": 8235, \"source\": 5, \"target\": 8}, {\"weight\": 7437, \"source\": 5, \"target\": 6}, {\"weight\": 5261, \"source\": 5, \"target\": 7}, {\"weight\": 9664, \"source\": 6, \"target\": 8}, {\"weight\": 6722, \"source\": 6, \"target\": 7}, {\"weight\": 4710, \"source\": 7, \"target\": 8}]}", "id": 665, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CPC, YWB, GBB, KOI, GXH, EBJ, JIC, RAH, HAH\n- Travel distances (in kilometers) between each pair of airports:\nCPC to YWB: 12695\nCPC to GXH: 19955\nCPC to HAH: 13472\nCPC to KOI: 13170\nCPC to EBJ: 13261\nCPC to JIC: 20159\nCPC to RAH: 14942\nCPC to GBB: 16540\nYWB to GXH: 14431\nYWB to HAH: 14226\nYWB to KOI: 6896\nYWB to EBJ: 6942\nYWB to JIC: 14200\nYWB to RAH: 11599\nYWB to GBB: 10370\nGBB to GXH: 8360\nGBB to HAH: 9342\nGBB to KOI: 4423\nGBB to EBJ: 3617\nGBB to JIC: 7609\nGBB to RAH: 6077\nKOI to GXH: 8762\nKOI to HAH: 8897\nKOI to EBJ: 886\nKOI to JIC: 8243\nKOI to RAH: 6147\nGXH to HAH: 9233\nGXH to EBJ: 8085\nGXH to JIC: 1287\nGXH to RAH: 6291\nEBJ to HAH: 8235\nEBJ to JIC: 7437\nEBJ to RAH: 5261\nJIC to HAH: 9664\nJIC to RAH: 6722\nRAH to HAH: 4710\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: HTS, WAA, IZA, DMU, RVE, PTJ, YSG, TRU, DRS\n- Travel distances (in kilometers) between each pair of airports:\nHTS to DRS: 7751\nHTS to WAA: 6948\nHTS to YSG: 4829\nHTS to RVE: 4206\nHTS to IZA: 7990\nHTS to DMU: 14948\nHTS to TRU: 6124\nHTS to PTJ: 17456\nWAA to DRS: 11869\nWAA to YSG: 5472\nWAA to RVE: 10221\nWAA to IZA: 14082\nWAA to DMU: 16279\nWAA to TRU: 11839\nWAA to PTJ: 15450\nIZA to DRS: 9901\nIZA to YSG: 11554\nIZA to RVE: 5411\nIZA to DMU: 16384\nIZA to TRU: 4539\nIZA to PTJ: 16381\nDMU to DRS: 7964\nDMU to YSG: 14750\nDMU to RVE: 17519\nDMU to TRU: 19235\nDMU to PTJ: 10914\nRVE to DRS: 9813\nRVE to YSG: 8090\nRVE to TRU: 2732\nRVE to PTJ: 17712\nPTJ to DRS: 17397\nPTJ to YSG: 16289\nPTJ to TRU: 16057\nYSG to DRS: 8836\nYSG to TRU: 9741\nTRU to DRS: 11598\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 66007, "style": "rule" }
{ "exact_answer": 66007, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"HTS\", \"id\": 0}, {\"name\": \"WAA\", \"id\": 1}, {\"name\": \"IZA\", \"id\": 2}, {\"name\": \"DMU\", \"id\": 3}, {\"name\": \"RVE\", \"id\": 4}, {\"name\": \"PTJ\", \"id\": 5}, {\"name\": \"YSG\", \"id\": 6}, {\"name\": \"TRU\", \"id\": 7}, {\"name\": \"DRS\", \"id\": 8}], \"links\": [{\"weight\": 7751, \"source\": 0, \"target\": 8}, {\"weight\": 6948, \"source\": 0, \"target\": 1}, {\"weight\": 4829, \"source\": 0, \"target\": 6}, {\"weight\": 4206, \"source\": 0, \"target\": 4}, {\"weight\": 7990, \"source\": 0, \"target\": 2}, {\"weight\": 14948, \"source\": 0, \"target\": 3}, {\"weight\": 6124, \"source\": 0, \"target\": 7}, {\"weight\": 17456, \"source\": 0, \"target\": 5}, {\"weight\": 11869, \"source\": 1, \"target\": 8}, {\"weight\": 5472, \"source\": 1, \"target\": 6}, {\"weight\": 10221, \"source\": 1, \"target\": 4}, {\"weight\": 14082, \"source\": 1, \"target\": 2}, {\"weight\": 16279, \"source\": 1, \"target\": 3}, {\"weight\": 11839, \"source\": 1, \"target\": 7}, {\"weight\": 15450, \"source\": 1, \"target\": 5}, {\"weight\": 9901, \"source\": 2, \"target\": 8}, {\"weight\": 11554, \"source\": 2, \"target\": 6}, {\"weight\": 5411, \"source\": 2, \"target\": 4}, {\"weight\": 16384, \"source\": 2, \"target\": 3}, {\"weight\": 4539, \"source\": 2, \"target\": 7}, {\"weight\": 16381, \"source\": 2, \"target\": 5}, {\"weight\": 7964, \"source\": 3, \"target\": 8}, {\"weight\": 14750, \"source\": 3, \"target\": 6}, {\"weight\": 17519, \"source\": 3, \"target\": 4}, {\"weight\": 19235, \"source\": 3, \"target\": 7}, {\"weight\": 10914, \"source\": 3, \"target\": 5}, {\"weight\": 9813, \"source\": 4, \"target\": 8}, {\"weight\": 8090, \"source\": 4, \"target\": 6}, {\"weight\": 2732, \"source\": 4, \"target\": 7}, {\"weight\": 17712, \"source\": 4, \"target\": 5}, {\"weight\": 17397, \"source\": 5, \"target\": 8}, {\"weight\": 16289, \"source\": 5, \"target\": 6}, {\"weight\": 16057, \"source\": 5, \"target\": 7}, {\"weight\": 8836, \"source\": 6, \"target\": 8}, {\"weight\": 9741, \"source\": 6, \"target\": 7}, {\"weight\": 11598, \"source\": 7, \"target\": 8}]}", "id": 666, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: HTS, WAA, IZA, DMU, RVE, PTJ, YSG, TRU, DRS\n- Travel distances (in kilometers) between each pair of airports:\nHTS to DRS: 7751\nHTS to WAA: 6948\nHTS to YSG: 4829\nHTS to RVE: 4206\nHTS to IZA: 7990\nHTS to DMU: 14948\nHTS to TRU: 6124\nHTS to PTJ: 17456\nWAA to DRS: 11869\nWAA to YSG: 5472\nWAA to RVE: 10221\nWAA to IZA: 14082\nWAA to DMU: 16279\nWAA to TRU: 11839\nWAA to PTJ: 15450\nIZA to DRS: 9901\nIZA to YSG: 11554\nIZA to RVE: 5411\nIZA to DMU: 16384\nIZA to TRU: 4539\nIZA to PTJ: 16381\nDMU to DRS: 7964\nDMU to YSG: 14750\nDMU to RVE: 17519\nDMU to TRU: 19235\nDMU to PTJ: 10914\nRVE to DRS: 9813\nRVE to YSG: 8090\nRVE to TRU: 2732\nRVE to PTJ: 17712\nPTJ to DRS: 17397\nPTJ to YSG: 16289\nPTJ to TRU: 16057\nYSG to DRS: 8836\nYSG to TRU: 9741\nTRU to DRS: 11598\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CIK, YDF, BRQ, ROC, IXZ, SNO, ATT, IGM, ABM\n- Travel distances (in kilometers) between each pair of airports:\nCIK to ATT: 1359\nCIK to IXZ: 16312\nCIK to ROC: 5994\nCIK to YDF: 7628\nCIK to SNO: 15254\nCIK to IGM: 4708\nCIK to BRQ: 11633\nCIK to ABM: 14861\nYDF to ATT: 7597\nYDF to IXZ: 13315\nYDF to ROC: 1881\nYDF to SNO: 14196\nYDF to IGM: 4877\nYDF to BRQ: 5981\nYDF to ABM: 18721\nBRQ to ATT: 11884\nBRQ to IXZ: 10358\nBRQ to ROC: 7021\nBRQ to SNO: 11319\nBRQ to IGM: 9774\nBRQ to ABM: 17102\nROC to ATT: 5963\nROC to IXZ: 14318\nROC to SNO: 14567\nROC to IGM: 3236\nROC to ABM: 17098\nIXZ to ATT: 16563\nIXZ to SNO: 3438\nIXZ to IGM: 15366\nIXZ to ABM: 9971\nSNO to ATT: 15505\nSNO to IGM: 14241\nSNO to ABM: 7700\nATT to IGM: 4868\nATT to ABM: 14830\nIGM to ABM: 14107\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 53491, "style": "rule" }
{ "exact_answer": 53491, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"CIK\", \"id\": 0}, {\"name\": \"YDF\", \"id\": 1}, {\"name\": \"BRQ\", \"id\": 2}, {\"name\": \"ROC\", \"id\": 3}, {\"name\": \"IXZ\", \"id\": 4}, {\"name\": \"SNO\", \"id\": 5}, {\"name\": \"ATT\", \"id\": 6}, {\"name\": \"IGM\", \"id\": 7}, {\"name\": \"ABM\", \"id\": 8}], \"links\": [{\"weight\": 1359, \"source\": 0, \"target\": 6}, {\"weight\": 16312, \"source\": 0, \"target\": 4}, {\"weight\": 5994, \"source\": 0, \"target\": 3}, {\"weight\": 7628, \"source\": 0, \"target\": 1}, {\"weight\": 15254, \"source\": 0, \"target\": 5}, {\"weight\": 4708, \"source\": 0, \"target\": 7}, {\"weight\": 11633, \"source\": 0, \"target\": 2}, {\"weight\": 14861, \"source\": 0, \"target\": 8}, {\"weight\": 7597, \"source\": 1, \"target\": 6}, {\"weight\": 13315, \"source\": 1, \"target\": 4}, {\"weight\": 1881, \"source\": 1, \"target\": 3}, {\"weight\": 14196, \"source\": 1, \"target\": 5}, {\"weight\": 4877, \"source\": 1, \"target\": 7}, {\"weight\": 5981, \"source\": 1, \"target\": 2}, {\"weight\": 18721, \"source\": 1, \"target\": 8}, {\"weight\": 11884, \"source\": 2, \"target\": 6}, {\"weight\": 10358, \"source\": 2, \"target\": 4}, {\"weight\": 7021, \"source\": 2, \"target\": 3}, {\"weight\": 11319, \"source\": 2, \"target\": 5}, {\"weight\": 9774, \"source\": 2, \"target\": 7}, {\"weight\": 17102, \"source\": 2, \"target\": 8}, {\"weight\": 5963, \"source\": 3, \"target\": 6}, {\"weight\": 14318, \"source\": 3, \"target\": 4}, {\"weight\": 14567, \"source\": 3, \"target\": 5}, {\"weight\": 3236, \"source\": 3, \"target\": 7}, {\"weight\": 17098, \"source\": 3, \"target\": 8}, {\"weight\": 16563, \"source\": 4, \"target\": 6}, {\"weight\": 3438, \"source\": 4, \"target\": 5}, {\"weight\": 15366, \"source\": 4, \"target\": 7}, {\"weight\": 9971, \"source\": 4, \"target\": 8}, {\"weight\": 15505, \"source\": 5, \"target\": 6}, {\"weight\": 14241, \"source\": 5, \"target\": 7}, {\"weight\": 7700, \"source\": 5, \"target\": 8}, {\"weight\": 4868, \"source\": 6, \"target\": 7}, {\"weight\": 14830, \"source\": 6, \"target\": 8}, {\"weight\": 14107, \"source\": 7, \"target\": 8}]}", "id": 667, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CIK, YDF, BRQ, ROC, IXZ, SNO, ATT, IGM, ABM\n- Travel distances (in kilometers) between each pair of airports:\nCIK to ATT: 1359\nCIK to IXZ: 16312\nCIK to ROC: 5994\nCIK to YDF: 7628\nCIK to SNO: 15254\nCIK to IGM: 4708\nCIK to BRQ: 11633\nCIK to ABM: 14861\nYDF to ATT: 7597\nYDF to IXZ: 13315\nYDF to ROC: 1881\nYDF to SNO: 14196\nYDF to IGM: 4877\nYDF to BRQ: 5981\nYDF to ABM: 18721\nBRQ to ATT: 11884\nBRQ to IXZ: 10358\nBRQ to ROC: 7021\nBRQ to SNO: 11319\nBRQ to IGM: 9774\nBRQ to ABM: 17102\nROC to ATT: 5963\nROC to IXZ: 14318\nROC to SNO: 14567\nROC to IGM: 3236\nROC to ABM: 17098\nIXZ to ATT: 16563\nIXZ to SNO: 3438\nIXZ to IGM: 15366\nIXZ to ABM: 9971\nSNO to ATT: 15505\nSNO to IGM: 14241\nSNO to ABM: 7700\nATT to IGM: 4868\nATT to ABM: 14830\nIGM to ABM: 14107\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: DNZ, HRL, GDQ, MKG, TAI, ZGS, TGH, TZL, CBR\n- Travel distances (in kilometers) between each pair of airports:\nDNZ to CBR: 15290\nDNZ to GDQ: 4467\nDNZ to HRL: 11087\nDNZ to TAI: 3708\nDNZ to TGH: 16196\nDNZ to ZGS: 7416\nDNZ to MKG: 9358\nDNZ to TZL: 3126\nHRL to CBR: 14616\nHRL to GDQ: 14372\nHRL to TAI: 13994\nHRL to TGH: 12270\nHRL to ZGS: 4187\nHRL to MKG: 2155\nHRL to TZL: 9881\nGDQ to CBR: 13651\nGDQ to TAI: 1237\nGDQ to TGH: 15892\nGDQ to ZGS: 10892\nGDQ to MKG: 12812\nGDQ to TZL: 6783\nMKG to CBR: 15287\nMKG to TAI: 12310\nMKG to TGH: 12941\nMKG to ZGS: 2536\nMKG to TZL: 8214\nTAI to CBR: 13538\nTAI to TGH: 14900\nTAI to ZGS: 10329\nTAI to TZL: 6135\nZGS to CBR: 17424\nZGS to TGH: 15086\nZGS to TZL: 6250\nTGH to CBR: 2812\nTGH to TZL: 17626\nTZL to CBR: 17638\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 47745, "style": "rule" }
{ "exact_answer": 47745, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"DNZ\", \"id\": 0}, {\"name\": \"HRL\", \"id\": 1}, {\"name\": \"GDQ\", \"id\": 2}, {\"name\": \"MKG\", \"id\": 3}, {\"name\": \"TAI\", \"id\": 4}, {\"name\": \"ZGS\", \"id\": 5}, {\"name\": \"TGH\", \"id\": 6}, {\"name\": \"TZL\", \"id\": 7}, {\"name\": \"CBR\", \"id\": 8}], \"links\": [{\"weight\": 15290, \"source\": 0, \"target\": 8}, {\"weight\": 4467, \"source\": 0, \"target\": 2}, {\"weight\": 11087, \"source\": 0, \"target\": 1}, {\"weight\": 3708, \"source\": 0, \"target\": 4}, {\"weight\": 16196, \"source\": 0, \"target\": 6}, {\"weight\": 7416, \"source\": 0, \"target\": 5}, {\"weight\": 9358, \"source\": 0, \"target\": 3}, {\"weight\": 3126, \"source\": 0, \"target\": 7}, {\"weight\": 14616, \"source\": 1, \"target\": 8}, {\"weight\": 14372, \"source\": 1, \"target\": 2}, {\"weight\": 13994, \"source\": 1, \"target\": 4}, {\"weight\": 12270, \"source\": 1, \"target\": 6}, {\"weight\": 4187, \"source\": 1, \"target\": 5}, {\"weight\": 2155, \"source\": 1, \"target\": 3}, {\"weight\": 9881, \"source\": 1, \"target\": 7}, {\"weight\": 13651, \"source\": 2, \"target\": 8}, {\"weight\": 1237, \"source\": 2, \"target\": 4}, {\"weight\": 15892, \"source\": 2, \"target\": 6}, {\"weight\": 10892, \"source\": 2, \"target\": 5}, {\"weight\": 12812, \"source\": 2, \"target\": 3}, {\"weight\": 6783, \"source\": 2, \"target\": 7}, {\"weight\": 15287, \"source\": 3, \"target\": 8}, {\"weight\": 12310, \"source\": 3, \"target\": 4}, {\"weight\": 12941, \"source\": 3, \"target\": 6}, {\"weight\": 2536, \"source\": 3, \"target\": 5}, {\"weight\": 8214, \"source\": 3, \"target\": 7}, {\"weight\": 13538, \"source\": 4, \"target\": 8}, {\"weight\": 14900, \"source\": 4, \"target\": 6}, {\"weight\": 10329, \"source\": 4, \"target\": 5}, {\"weight\": 6135, \"source\": 4, \"target\": 7}, {\"weight\": 17424, \"source\": 5, \"target\": 8}, {\"weight\": 15086, \"source\": 5, \"target\": 6}, {\"weight\": 6250, \"source\": 5, \"target\": 7}, {\"weight\": 2812, \"source\": 6, \"target\": 8}, {\"weight\": 17626, \"source\": 6, \"target\": 7}, {\"weight\": 17638, \"source\": 7, \"target\": 8}]}", "id": 668, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: DNZ, HRL, GDQ, MKG, TAI, ZGS, TGH, TZL, CBR\n- Travel distances (in kilometers) between each pair of airports:\nDNZ to CBR: 15290\nDNZ to GDQ: 4467\nDNZ to HRL: 11087\nDNZ to TAI: 3708\nDNZ to TGH: 16196\nDNZ to ZGS: 7416\nDNZ to MKG: 9358\nDNZ to TZL: 3126\nHRL to CBR: 14616\nHRL to GDQ: 14372\nHRL to TAI: 13994\nHRL to TGH: 12270\nHRL to ZGS: 4187\nHRL to MKG: 2155\nHRL to TZL: 9881\nGDQ to CBR: 13651\nGDQ to TAI: 1237\nGDQ to TGH: 15892\nGDQ to ZGS: 10892\nGDQ to MKG: 12812\nGDQ to TZL: 6783\nMKG to CBR: 15287\nMKG to TAI: 12310\nMKG to TGH: 12941\nMKG to ZGS: 2536\nMKG to TZL: 8214\nTAI to CBR: 13538\nTAI to TGH: 14900\nTAI to ZGS: 10329\nTAI to TZL: 6135\nZGS to CBR: 17424\nZGS to TGH: 15086\nZGS to TZL: 6250\nTGH to CBR: 2812\nTGH to TZL: 17626\nTZL to CBR: 17638\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: JNG, GIZ, MSO, RYG, OMS, YNA, HAA, QFG, HOU\n- Travel distances (in kilometers) between each pair of airports:\nJNG to HOU: 12151\nJNG to MSO: 9768\nJNG to RYG: 7690\nJNG to QFG: 11217\nJNG to OMS: 4123\nJNG to YNA: 12678\nJNG to GIZ: 7855\nJNG to HAA: 8293\nGIZ to HOU: 13157\nGIZ to MSO: 13447\nGIZ to RYG: 5380\nGIZ to QFG: 9063\nGIZ to OMS: 5153\nGIZ to YNA: 10021\nGIZ to HAA: 6438\nMSO to HOU: 2512\nMSO to RYG: 8739\nMSO to QFG: 8367\nMSO to OMS: 11763\nMSO to YNA: 4234\nMSO to HAA: 8992\nRYG to HOU: 8434\nRYG to QFG: 4238\nRYG to OMS: 3687\nRYG to YNA: 5917\nRYG to HAA: 2450\nOMS to HOU: 11590\nOMS to QFG: 7262\nOMS to YNA: 9331\nOMS to HAA: 4295\nYNA to HOU: 3676\nYNA to QFG: 7300\nYNA to HAA: 7043\nHAA to HOU: 8819\nHAA to QFG: 4491\nQFG to HOU: 8194\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 44853, "style": "rule" }
{ "exact_answer": 44853, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"JNG\", \"id\": 0}, {\"name\": \"GIZ\", \"id\": 1}, {\"name\": \"MSO\", \"id\": 2}, {\"name\": \"RYG\", \"id\": 3}, {\"name\": \"OMS\", \"id\": 4}, {\"name\": \"YNA\", \"id\": 5}, {\"name\": \"HAA\", \"id\": 6}, {\"name\": \"QFG\", \"id\": 7}, {\"name\": \"HOU\", \"id\": 8}], \"links\": [{\"weight\": 12151, \"source\": 0, \"target\": 8}, {\"weight\": 9768, \"source\": 0, \"target\": 2}, {\"weight\": 7690, \"source\": 0, \"target\": 3}, {\"weight\": 11217, \"source\": 0, \"target\": 7}, {\"weight\": 4123, \"source\": 0, \"target\": 4}, {\"weight\": 12678, \"source\": 0, \"target\": 5}, {\"weight\": 7855, \"source\": 0, \"target\": 1}, {\"weight\": 8293, \"source\": 0, \"target\": 6}, {\"weight\": 13157, \"source\": 1, \"target\": 8}, {\"weight\": 13447, \"source\": 1, \"target\": 2}, {\"weight\": 5380, \"source\": 1, \"target\": 3}, {\"weight\": 9063, \"source\": 1, \"target\": 7}, {\"weight\": 5153, \"source\": 1, \"target\": 4}, {\"weight\": 10021, \"source\": 1, \"target\": 5}, {\"weight\": 6438, \"source\": 1, \"target\": 6}, {\"weight\": 2512, \"source\": 2, \"target\": 8}, {\"weight\": 8739, \"source\": 2, \"target\": 3}, {\"weight\": 8367, \"source\": 2, \"target\": 7}, {\"weight\": 11763, \"source\": 2, \"target\": 4}, {\"weight\": 4234, \"source\": 2, \"target\": 5}, {\"weight\": 8992, \"source\": 2, \"target\": 6}, {\"weight\": 8434, \"source\": 3, \"target\": 8}, {\"weight\": 4238, \"source\": 3, \"target\": 7}, {\"weight\": 3687, \"source\": 3, \"target\": 4}, {\"weight\": 5917, \"source\": 3, \"target\": 5}, {\"weight\": 2450, \"source\": 3, \"target\": 6}, {\"weight\": 11590, \"source\": 4, \"target\": 8}, {\"weight\": 7262, \"source\": 4, \"target\": 7}, {\"weight\": 9331, \"source\": 4, \"target\": 5}, {\"weight\": 4295, \"source\": 4, \"target\": 6}, {\"weight\": 3676, \"source\": 5, \"target\": 8}, {\"weight\": 7300, \"source\": 5, \"target\": 7}, {\"weight\": 7043, \"source\": 5, \"target\": 6}, {\"weight\": 8819, \"source\": 6, \"target\": 8}, {\"weight\": 4491, \"source\": 6, \"target\": 7}, {\"weight\": 8194, \"source\": 7, \"target\": 8}]}", "id": 669, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: JNG, GIZ, MSO, RYG, OMS, YNA, HAA, QFG, HOU\n- Travel distances (in kilometers) between each pair of airports:\nJNG to HOU: 12151\nJNG to MSO: 9768\nJNG to RYG: 7690\nJNG to QFG: 11217\nJNG to OMS: 4123\nJNG to YNA: 12678\nJNG to GIZ: 7855\nJNG to HAA: 8293\nGIZ to HOU: 13157\nGIZ to MSO: 13447\nGIZ to RYG: 5380\nGIZ to QFG: 9063\nGIZ to OMS: 5153\nGIZ to YNA: 10021\nGIZ to HAA: 6438\nMSO to HOU: 2512\nMSO to RYG: 8739\nMSO to QFG: 8367\nMSO to OMS: 11763\nMSO to YNA: 4234\nMSO to HAA: 8992\nRYG to HOU: 8434\nRYG to QFG: 4238\nRYG to OMS: 3687\nRYG to YNA: 5917\nRYG to HAA: 2450\nOMS to HOU: 11590\nOMS to QFG: 7262\nOMS to YNA: 9331\nOMS to HAA: 4295\nYNA to HOU: 3676\nYNA to QFG: 7300\nYNA to HAA: 7043\nHAA to HOU: 8819\nHAA to QFG: 4491\nQFG to HOU: 8194\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CAG, SXB, IAM, MBL, KTW, CTL, ZSA, MCG, AMM\n- Travel distances (in kilometers) between each pair of airports:\nCAG to MCG: 11930\nCAG to KTW: 1497\nCAG to AMM: 2672\nCAG to SXB: 1162\nCAG to ZSA: 8548\nCAG to IAM: 2332\nCAG to MBL: 8076\nCAG to CTL: 16333\nSXB to MCG: 10982\nSXB to KTW: 1260\nSXB to AMM: 3214\nSXB to ZSA: 7988\nSXB to IAM: 2404\nSXB to MBL: 7381\nSXB to CTL: 16263\nIAM to MCG: 13149\nIAM to KTW: 3227\nIAM to AMM: 4193\nIAM to ZSA: 9331\nIAM to MBL: 8925\nIAM to CTL: 17672\nMBL to MCG: 5256\nMBL to KTW: 8029\nMBL to AMM: 10391\nMBL to ZSA: 2737\nMBL to CTL: 15334\nKTW to MCG: 11345\nKTW to AMM: 2539\nKTW to ZSA: 8661\nKTW to CTL: 15461\nCTL to MCG: 13066\nCTL to AMM: 13825\nCTL to ZSA: 16458\nZSA to MCG: 7338\nZSA to AMM: 10975\nMCG to AMM: 13843\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 51508, "style": "rule" }
{ "exact_answer": 51508, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"CAG\", \"id\": 0}, {\"name\": \"SXB\", \"id\": 1}, {\"name\": \"IAM\", \"id\": 2}, {\"name\": \"MBL\", \"id\": 3}, {\"name\": \"KTW\", \"id\": 4}, {\"name\": \"CTL\", \"id\": 5}, {\"name\": \"ZSA\", \"id\": 6}, {\"name\": \"MCG\", \"id\": 7}, {\"name\": \"AMM\", \"id\": 8}], \"links\": [{\"weight\": 11930, \"source\": 0, \"target\": 7}, {\"weight\": 1497, \"source\": 0, \"target\": 4}, {\"weight\": 2672, \"source\": 0, \"target\": 8}, {\"weight\": 1162, \"source\": 0, \"target\": 1}, {\"weight\": 8548, \"source\": 0, \"target\": 6}, {\"weight\": 2332, \"source\": 0, \"target\": 2}, {\"weight\": 8076, \"source\": 0, \"target\": 3}, {\"weight\": 16333, \"source\": 0, \"target\": 5}, {\"weight\": 10982, \"source\": 1, \"target\": 7}, {\"weight\": 1260, \"source\": 1, \"target\": 4}, {\"weight\": 3214, \"source\": 1, \"target\": 8}, {\"weight\": 7988, \"source\": 1, \"target\": 6}, {\"weight\": 2404, \"source\": 1, \"target\": 2}, {\"weight\": 7381, \"source\": 1, \"target\": 3}, {\"weight\": 16263, \"source\": 1, \"target\": 5}, {\"weight\": 13149, \"source\": 2, \"target\": 7}, {\"weight\": 3227, \"source\": 2, \"target\": 4}, {\"weight\": 4193, \"source\": 2, \"target\": 8}, {\"weight\": 9331, \"source\": 2, \"target\": 6}, {\"weight\": 8925, \"source\": 2, \"target\": 3}, {\"weight\": 17672, \"source\": 2, \"target\": 5}, {\"weight\": 5256, \"source\": 3, \"target\": 7}, {\"weight\": 8029, \"source\": 3, \"target\": 4}, {\"weight\": 10391, \"source\": 3, \"target\": 8}, {\"weight\": 2737, \"source\": 3, \"target\": 6}, {\"weight\": 15334, \"source\": 3, \"target\": 5}, {\"weight\": 11345, \"source\": 4, \"target\": 7}, {\"weight\": 2539, \"source\": 4, \"target\": 8}, {\"weight\": 8661, \"source\": 4, \"target\": 6}, {\"weight\": 15461, \"source\": 4, \"target\": 5}, {\"weight\": 13066, \"source\": 5, \"target\": 7}, {\"weight\": 13825, \"source\": 5, \"target\": 8}, {\"weight\": 16458, \"source\": 5, \"target\": 6}, {\"weight\": 7338, \"source\": 6, \"target\": 7}, {\"weight\": 10975, \"source\": 6, \"target\": 8}, {\"weight\": 13843, \"source\": 7, \"target\": 8}]}", "id": 670, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CAG, SXB, IAM, MBL, KTW, CTL, ZSA, MCG, AMM\n- Travel distances (in kilometers) between each pair of airports:\nCAG to MCG: 11930\nCAG to KTW: 1497\nCAG to AMM: 2672\nCAG to SXB: 1162\nCAG to ZSA: 8548\nCAG to IAM: 2332\nCAG to MBL: 8076\nCAG to CTL: 16333\nSXB to MCG: 10982\nSXB to KTW: 1260\nSXB to AMM: 3214\nSXB to ZSA: 7988\nSXB to IAM: 2404\nSXB to MBL: 7381\nSXB to CTL: 16263\nIAM to MCG: 13149\nIAM to KTW: 3227\nIAM to AMM: 4193\nIAM to ZSA: 9331\nIAM to MBL: 8925\nIAM to CTL: 17672\nMBL to MCG: 5256\nMBL to KTW: 8029\nMBL to AMM: 10391\nMBL to ZSA: 2737\nMBL to CTL: 15334\nKTW to MCG: 11345\nKTW to AMM: 2539\nKTW to ZSA: 8661\nKTW to CTL: 15461\nCTL to MCG: 13066\nCTL to AMM: 13825\nCTL to ZSA: 16458\nZSA to MCG: 7338\nZSA to AMM: 10975\nMCG to AMM: 13843\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: GPI, BUQ, TLT, YFB, LYI, GOA, MFR, LGQ, PMR\n- Travel distances (in kilometers) between each pair of airports:\nGPI to LYI: 15780\nGPI to TLT: 9700\nGPI to YFB: 6950\nGPI to MFR: 6558\nGPI to GOA: 9634\nGPI to LGQ: 852\nGPI to PMR: 14420\nGPI to BUQ: 12935\nBUQ to LYI: 11657\nBUQ to TLT: 19412\nBUQ to YFB: 15128\nBUQ to MFR: 16948\nBUQ to GOA: 8338\nBUQ to LGQ: 12619\nBUQ to PMR: 14063\nTLT to LYI: 12083\nTLT to YFB: 7248\nTLT to MFR: 3531\nTLT to GOA: 11764\nTLT to LGQ: 9923\nTLT to PMR: 12634\nYFB to LYI: 12995\nYFB to MFR: 4792\nYFB to GOA: 7243\nYFB to LGQ: 7358\nYFB to PMR: 15873\nLYI to MFR: 9618\nLYI to GOA: 8754\nLYI to LGQ: 16002\nLYI to PMR: 10280\nGOA to MFR: 9299\nGOA to LGQ: 10062\nGOA to PMR: 18988\nMFR to LGQ: 6697\nMFR to PMR: 11413\nLGQ to PMR: 13992\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 68182, "style": "rule" }
{ "exact_answer": 68182, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"GPI\", \"id\": 0}, {\"name\": \"BUQ\", \"id\": 1}, {\"name\": \"TLT\", \"id\": 2}, {\"name\": \"YFB\", \"id\": 3}, {\"name\": \"LYI\", \"id\": 4}, {\"name\": \"GOA\", \"id\": 5}, {\"name\": \"MFR\", \"id\": 6}, {\"name\": \"LGQ\", \"id\": 7}, {\"name\": \"PMR\", \"id\": 8}], \"links\": [{\"weight\": 15780, \"source\": 0, \"target\": 4}, {\"weight\": 9700, \"source\": 0, \"target\": 2}, {\"weight\": 6950, \"source\": 0, \"target\": 3}, {\"weight\": 6558, \"source\": 0, \"target\": 6}, {\"weight\": 9634, \"source\": 0, \"target\": 5}, {\"weight\": 852, \"source\": 0, \"target\": 7}, {\"weight\": 14420, \"source\": 0, \"target\": 8}, {\"weight\": 12935, \"source\": 0, \"target\": 1}, {\"weight\": 11657, \"source\": 1, \"target\": 4}, {\"weight\": 19412, \"source\": 1, \"target\": 2}, {\"weight\": 15128, \"source\": 1, \"target\": 3}, {\"weight\": 16948, \"source\": 1, \"target\": 6}, {\"weight\": 8338, \"source\": 1, \"target\": 5}, {\"weight\": 12619, \"source\": 1, \"target\": 7}, {\"weight\": 14063, \"source\": 1, \"target\": 8}, {\"weight\": 12083, \"source\": 2, \"target\": 4}, {\"weight\": 7248, \"source\": 2, \"target\": 3}, {\"weight\": 3531, \"source\": 2, \"target\": 6}, {\"weight\": 11764, \"source\": 2, \"target\": 5}, {\"weight\": 9923, \"source\": 2, \"target\": 7}, {\"weight\": 12634, \"source\": 2, \"target\": 8}, {\"weight\": 12995, \"source\": 3, \"target\": 4}, {\"weight\": 4792, \"source\": 3, \"target\": 6}, {\"weight\": 7243, \"source\": 3, \"target\": 5}, {\"weight\": 7358, \"source\": 3, \"target\": 7}, {\"weight\": 15873, \"source\": 3, \"target\": 8}, {\"weight\": 9618, \"source\": 4, \"target\": 6}, {\"weight\": 8754, \"source\": 4, \"target\": 5}, {\"weight\": 16002, \"source\": 4, \"target\": 7}, {\"weight\": 10280, \"source\": 4, \"target\": 8}, {\"weight\": 9299, \"source\": 5, \"target\": 6}, {\"weight\": 10062, \"source\": 5, \"target\": 7}, {\"weight\": 18988, \"source\": 5, \"target\": 8}, {\"weight\": 6697, \"source\": 6, \"target\": 7}, {\"weight\": 11413, \"source\": 6, \"target\": 8}, {\"weight\": 13992, \"source\": 7, \"target\": 8}]}", "id": 671, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: GPI, BUQ, TLT, YFB, LYI, GOA, MFR, LGQ, PMR\n- Travel distances (in kilometers) between each pair of airports:\nGPI to LYI: 15780\nGPI to TLT: 9700\nGPI to YFB: 6950\nGPI to MFR: 6558\nGPI to GOA: 9634\nGPI to LGQ: 852\nGPI to PMR: 14420\nGPI to BUQ: 12935\nBUQ to LYI: 11657\nBUQ to TLT: 19412\nBUQ to YFB: 15128\nBUQ to MFR: 16948\nBUQ to GOA: 8338\nBUQ to LGQ: 12619\nBUQ to PMR: 14063\nTLT to LYI: 12083\nTLT to YFB: 7248\nTLT to MFR: 3531\nTLT to GOA: 11764\nTLT to LGQ: 9923\nTLT to PMR: 12634\nYFB to LYI: 12995\nYFB to MFR: 4792\nYFB to GOA: 7243\nYFB to LGQ: 7358\nYFB to PMR: 15873\nLYI to MFR: 9618\nLYI to GOA: 8754\nLYI to LGQ: 16002\nLYI to PMR: 10280\nGOA to MFR: 9299\nGOA to LGQ: 10062\nGOA to PMR: 18988\nMFR to LGQ: 6697\nMFR to PMR: 11413\nLGQ to PMR: 13992\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: MSP, MLW, BMW, ODN, VXO, XSC, BHK, BHU, LDU\n- Travel distances (in kilometers) between each pair of airports:\nMSP to VXO: 7458\nMSP to BHK: 11251\nMSP to BHU: 13847\nMSP to BMW: 9359\nMSP to MLW: 8968\nMSP to XSC: 3293\nMSP to LDU: 13965\nMSP to ODN: 14096\nMLW to VXO: 6315\nMLW to BHK: 9430\nMLW to BHU: 9539\nMLW to BMW: 5462\nMLW to XSC: 9340\nMLW to LDU: 14511\nMLW to ODN: 14328\nBMW to VXO: 4244\nBMW to BHK: 7214\nBMW to BHU: 8985\nBMW to XSC: 9392\nBMW to LDU: 13632\nBMW to ODN: 13515\nODN to VXO: 10791\nODN to BHK: 6905\nODN to BHU: 5426\nODN to XSC: 17299\nODN to LDU: 684\nVXO to BHK: 4283\nVXO to BHU: 7058\nVXO to XSC: 8447\nVXO to LDU: 10647\nXSC to BHK: 12240\nXSC to BHU: 14806\nXSC to LDU: 17155\nBHK to BHU: 3326\nBHK to LDU: 7022\nBHU to LDU: 5602\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 50023, "style": "rule" }
{ "exact_answer": 50023, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"MSP\", \"id\": 0}, {\"name\": \"MLW\", \"id\": 1}, {\"name\": \"BMW\", \"id\": 2}, {\"name\": \"ODN\", \"id\": 3}, {\"name\": \"VXO\", \"id\": 4}, {\"name\": \"XSC\", \"id\": 5}, {\"name\": \"BHK\", \"id\": 6}, {\"name\": \"BHU\", \"id\": 7}, {\"name\": \"LDU\", \"id\": 8}], \"links\": [{\"weight\": 7458, \"source\": 0, \"target\": 4}, {\"weight\": 11251, \"source\": 0, \"target\": 6}, {\"weight\": 13847, \"source\": 0, \"target\": 7}, {\"weight\": 9359, \"source\": 0, \"target\": 2}, {\"weight\": 8968, \"source\": 0, \"target\": 1}, {\"weight\": 3293, \"source\": 0, \"target\": 5}, {\"weight\": 13965, \"source\": 0, \"target\": 8}, {\"weight\": 14096, \"source\": 0, \"target\": 3}, {\"weight\": 6315, \"source\": 1, \"target\": 4}, {\"weight\": 9430, \"source\": 1, \"target\": 6}, {\"weight\": 9539, \"source\": 1, \"target\": 7}, {\"weight\": 5462, \"source\": 1, \"target\": 2}, {\"weight\": 9340, \"source\": 1, \"target\": 5}, {\"weight\": 14511, \"source\": 1, \"target\": 8}, {\"weight\": 14328, \"source\": 1, \"target\": 3}, {\"weight\": 4244, \"source\": 2, \"target\": 4}, {\"weight\": 7214, \"source\": 2, \"target\": 6}, {\"weight\": 8985, \"source\": 2, \"target\": 7}, {\"weight\": 9392, \"source\": 2, \"target\": 5}, {\"weight\": 13632, \"source\": 2, \"target\": 8}, {\"weight\": 13515, \"source\": 2, \"target\": 3}, {\"weight\": 10791, \"source\": 3, \"target\": 4}, {\"weight\": 6905, \"source\": 3, \"target\": 6}, {\"weight\": 5426, \"source\": 3, \"target\": 7}, {\"weight\": 17299, \"source\": 3, \"target\": 5}, {\"weight\": 684, \"source\": 3, \"target\": 8}, {\"weight\": 4283, \"source\": 4, \"target\": 6}, {\"weight\": 7058, \"source\": 4, \"target\": 7}, {\"weight\": 8447, \"source\": 4, \"target\": 5}, {\"weight\": 10647, \"source\": 4, \"target\": 8}, {\"weight\": 12240, \"source\": 5, \"target\": 6}, {\"weight\": 14806, \"source\": 5, \"target\": 7}, {\"weight\": 17155, \"source\": 5, \"target\": 8}, {\"weight\": 3326, \"source\": 6, \"target\": 7}, {\"weight\": 7022, \"source\": 6, \"target\": 8}, {\"weight\": 5602, \"source\": 7, \"target\": 8}]}", "id": 672, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: MSP, MLW, BMW, ODN, VXO, XSC, BHK, BHU, LDU\n- Travel distances (in kilometers) between each pair of airports:\nMSP to VXO: 7458\nMSP to BHK: 11251\nMSP to BHU: 13847\nMSP to BMW: 9359\nMSP to MLW: 8968\nMSP to XSC: 3293\nMSP to LDU: 13965\nMSP to ODN: 14096\nMLW to VXO: 6315\nMLW to BHK: 9430\nMLW to BHU: 9539\nMLW to BMW: 5462\nMLW to XSC: 9340\nMLW to LDU: 14511\nMLW to ODN: 14328\nBMW to VXO: 4244\nBMW to BHK: 7214\nBMW to BHU: 8985\nBMW to XSC: 9392\nBMW to LDU: 13632\nBMW to ODN: 13515\nODN to VXO: 10791\nODN to BHK: 6905\nODN to BHU: 5426\nODN to XSC: 17299\nODN to LDU: 684\nVXO to BHK: 4283\nVXO to BHU: 7058\nVXO to XSC: 8447\nVXO to LDU: 10647\nXSC to BHK: 12240\nXSC to BHU: 14806\nXSC to LDU: 17155\nBHK to BHU: 3326\nBHK to LDU: 7022\nBHU to LDU: 5602\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ELF, BPL, SUB, GYS, YNA, FUN, MID, KUZ, DOL\n- Travel distances (in kilometers) between each pair of airports:\nELF to MID: 13974\nELF to DOL: 6169\nELF to SUB: 10411\nELF to GYS: 10479\nELF to FUN: 18547\nELF to KUZ: 9736\nELF to BPL: 7293\nELF to YNA: 10591\nBPL to MID: 14445\nBPL to DOL: 6888\nBPL to SUB: 7120\nBPL to GYS: 4168\nBPL to FUN: 13086\nBPL to KUZ: 9649\nBPL to YNA: 11311\nSUB to MID: 17520\nSUB to DOL: 12462\nSUB to GYS: 4686\nSUB to FUN: 8392\nSUB to KUZ: 15256\nSUB to YNA: 16890\nGYS to MID: 14007\nGYS to DOL: 9659\nGYS to FUN: 10784\nGYS to KUZ: 12208\nGYS to YNA: 13441\nYNA to MID: 4328\nYNA to DOL: 5516\nYNA to FUN: 15130\nYNA to KUZ: 7528\nFUN to MID: 13288\nFUN to DOL: 18415\nFUN to KUZ: 18532\nMID to DOL: 8540\nMID to KUZ: 9118\nKUZ to DOL: 4314\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 60166, "style": "rule" }
{ "exact_answer": 60166, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"ELF\", \"id\": 0}, {\"name\": \"BPL\", \"id\": 1}, {\"name\": \"SUB\", \"id\": 2}, {\"name\": \"GYS\", \"id\": 3}, {\"name\": \"YNA\", \"id\": 4}, {\"name\": \"FUN\", \"id\": 5}, {\"name\": \"MID\", \"id\": 6}, {\"name\": \"KUZ\", \"id\": 7}, {\"name\": \"DOL\", \"id\": 8}], \"links\": [{\"weight\": 13974, \"source\": 0, \"target\": 6}, {\"weight\": 6169, \"source\": 0, \"target\": 8}, {\"weight\": 10411, \"source\": 0, \"target\": 2}, {\"weight\": 10479, \"source\": 0, \"target\": 3}, {\"weight\": 18547, \"source\": 0, \"target\": 5}, {\"weight\": 9736, \"source\": 0, \"target\": 7}, {\"weight\": 7293, \"source\": 0, \"target\": 1}, {\"weight\": 10591, \"source\": 0, \"target\": 4}, {\"weight\": 14445, \"source\": 1, \"target\": 6}, {\"weight\": 6888, \"source\": 1, \"target\": 8}, {\"weight\": 7120, \"source\": 1, \"target\": 2}, {\"weight\": 4168, \"source\": 1, \"target\": 3}, {\"weight\": 13086, \"source\": 1, \"target\": 5}, {\"weight\": 9649, \"source\": 1, \"target\": 7}, {\"weight\": 11311, \"source\": 1, \"target\": 4}, {\"weight\": 17520, \"source\": 2, \"target\": 6}, {\"weight\": 12462, \"source\": 2, \"target\": 8}, {\"weight\": 4686, \"source\": 2, \"target\": 3}, {\"weight\": 8392, \"source\": 2, \"target\": 5}, {\"weight\": 15256, \"source\": 2, \"target\": 7}, {\"weight\": 16890, \"source\": 2, \"target\": 4}, {\"weight\": 14007, \"source\": 3, \"target\": 6}, {\"weight\": 9659, \"source\": 3, \"target\": 8}, {\"weight\": 10784, \"source\": 3, \"target\": 5}, {\"weight\": 12208, \"source\": 3, \"target\": 7}, {\"weight\": 13441, \"source\": 3, \"target\": 4}, {\"weight\": 4328, \"source\": 4, \"target\": 6}, {\"weight\": 5516, \"source\": 4, \"target\": 8}, {\"weight\": 15130, \"source\": 4, \"target\": 5}, {\"weight\": 7528, \"source\": 4, \"target\": 7}, {\"weight\": 13288, \"source\": 5, \"target\": 6}, {\"weight\": 18415, \"source\": 5, \"target\": 8}, {\"weight\": 18532, \"source\": 5, \"target\": 7}, {\"weight\": 8540, \"source\": 6, \"target\": 8}, {\"weight\": 9118, \"source\": 6, \"target\": 7}, {\"weight\": 4314, \"source\": 7, \"target\": 8}]}", "id": 673, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ELF, BPL, SUB, GYS, YNA, FUN, MID, KUZ, DOL\n- Travel distances (in kilometers) between each pair of airports:\nELF to MID: 13974\nELF to DOL: 6169\nELF to SUB: 10411\nELF to GYS: 10479\nELF to FUN: 18547\nELF to KUZ: 9736\nELF to BPL: 7293\nELF to YNA: 10591\nBPL to MID: 14445\nBPL to DOL: 6888\nBPL to SUB: 7120\nBPL to GYS: 4168\nBPL to FUN: 13086\nBPL to KUZ: 9649\nBPL to YNA: 11311\nSUB to MID: 17520\nSUB to DOL: 12462\nSUB to GYS: 4686\nSUB to FUN: 8392\nSUB to KUZ: 15256\nSUB to YNA: 16890\nGYS to MID: 14007\nGYS to DOL: 9659\nGYS to FUN: 10784\nGYS to KUZ: 12208\nGYS to YNA: 13441\nYNA to MID: 4328\nYNA to DOL: 5516\nYNA to FUN: 15130\nYNA to KUZ: 7528\nFUN to MID: 13288\nFUN to DOL: 18415\nFUN to KUZ: 18532\nMID to DOL: 8540\nMID to KUZ: 9118\nKUZ to DOL: 4314\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LGI, ETH, OTD, ADZ, PVA, BBK, NYK, VGO, ANR\n- Travel distances (in kilometers) between each pair of airports:\nLGI to ETH: 11153\nLGI to OTD: 3009\nLGI to ADZ: 2569\nLGI to PVA: 2663\nLGI to ANR: 7919\nLGI to VGO: 8184\nLGI to BBK: 14388\nLGI to NYK: 14746\nETH to OTD: 12907\nETH to ADZ: 12436\nETH to PVA: 12530\nETH to ANR: 4144\nETH to VGO: 4245\nETH to BBK: 7157\nETH to NYK: 4602\nOTD to ADZ: 1597\nOTD to PVA: 1691\nOTD to ANR: 9991\nOTD to VGO: 9558\nOTD to BBK: 14599\nOTD to NYK: 15954\nADZ to PVA: 94\nADZ to ANR: 9619\nADZ to VGO: 9087\nADZ to BBK: 13957\nADZ to NYK: 15312\nPVA to ANR: 9713\nPVA to VGO: 9181\nPVA to BBK: 14051\nPVA to NYK: 15406\nBBK to ANR: 9870\nBBK to VGO: 8771\nBBK to NYK: 3521\nNYK to ANR: 7762\nNYK to VGO: 7955\nVGO to ANR: 1865\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 40903, "style": "rule" }
{ "exact_answer": 40903, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"LGI\", \"id\": 0}, {\"name\": \"ETH\", \"id\": 1}, {\"name\": \"OTD\", \"id\": 2}, {\"name\": \"ADZ\", \"id\": 3}, {\"name\": \"PVA\", \"id\": 4}, {\"name\": \"BBK\", \"id\": 5}, {\"name\": \"NYK\", \"id\": 6}, {\"name\": \"VGO\", \"id\": 7}, {\"name\": \"ANR\", \"id\": 8}], \"links\": [{\"weight\": 11153, \"source\": 0, \"target\": 1}, {\"weight\": 3009, \"source\": 0, \"target\": 2}, {\"weight\": 2569, \"source\": 0, \"target\": 3}, {\"weight\": 2663, \"source\": 0, \"target\": 4}, {\"weight\": 7919, \"source\": 0, \"target\": 8}, {\"weight\": 8184, \"source\": 0, \"target\": 7}, {\"weight\": 14388, \"source\": 0, \"target\": 5}, {\"weight\": 14746, \"source\": 0, \"target\": 6}, {\"weight\": 12907, \"source\": 1, \"target\": 2}, {\"weight\": 12436, \"source\": 1, \"target\": 3}, {\"weight\": 12530, \"source\": 1, \"target\": 4}, {\"weight\": 4144, \"source\": 1, \"target\": 8}, {\"weight\": 4245, \"source\": 1, \"target\": 7}, {\"weight\": 7157, \"source\": 1, \"target\": 5}, {\"weight\": 4602, \"source\": 1, \"target\": 6}, {\"weight\": 1597, \"source\": 2, \"target\": 3}, {\"weight\": 1691, \"source\": 2, \"target\": 4}, {\"weight\": 9991, \"source\": 2, \"target\": 8}, {\"weight\": 9558, \"source\": 2, \"target\": 7}, {\"weight\": 14599, \"source\": 2, \"target\": 5}, {\"weight\": 15954, \"source\": 2, \"target\": 6}, {\"weight\": 94, \"source\": 3, \"target\": 4}, {\"weight\": 9619, \"source\": 3, \"target\": 8}, {\"weight\": 9087, \"source\": 3, \"target\": 7}, {\"weight\": 13957, \"source\": 3, \"target\": 5}, {\"weight\": 15312, \"source\": 3, \"target\": 6}, {\"weight\": 9713, \"source\": 4, \"target\": 8}, {\"weight\": 9181, \"source\": 4, \"target\": 7}, {\"weight\": 14051, \"source\": 4, \"target\": 5}, {\"weight\": 15406, \"source\": 4, \"target\": 6}, {\"weight\": 9870, \"source\": 5, \"target\": 8}, {\"weight\": 8771, \"source\": 5, \"target\": 7}, {\"weight\": 3521, \"source\": 5, \"target\": 6}, {\"weight\": 7762, \"source\": 6, \"target\": 8}, {\"weight\": 7955, \"source\": 6, \"target\": 7}, {\"weight\": 1865, \"source\": 7, \"target\": 8}]}", "id": 674, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LGI, ETH, OTD, ADZ, PVA, BBK, NYK, VGO, ANR\n- Travel distances (in kilometers) between each pair of airports:\nLGI to ETH: 11153\nLGI to OTD: 3009\nLGI to ADZ: 2569\nLGI to PVA: 2663\nLGI to ANR: 7919\nLGI to VGO: 8184\nLGI to BBK: 14388\nLGI to NYK: 14746\nETH to OTD: 12907\nETH to ADZ: 12436\nETH to PVA: 12530\nETH to ANR: 4144\nETH to VGO: 4245\nETH to BBK: 7157\nETH to NYK: 4602\nOTD to ADZ: 1597\nOTD to PVA: 1691\nOTD to ANR: 9991\nOTD to VGO: 9558\nOTD to BBK: 14599\nOTD to NYK: 15954\nADZ to PVA: 94\nADZ to ANR: 9619\nADZ to VGO: 9087\nADZ to BBK: 13957\nADZ to NYK: 15312\nPVA to ANR: 9713\nPVA to VGO: 9181\nPVA to BBK: 14051\nPVA to NYK: 15406\nBBK to ANR: 9870\nBBK to VGO: 8771\nBBK to NYK: 3521\nNYK to ANR: 7762\nNYK to VGO: 7955\nVGO to ANR: 1865\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PDP, EYP, LIL, RBR, CWL, KOE, PGF, CIU, WMO\n- Travel distances (in kilometers) between each pair of airports:\nPDP to CWL: 11588\nPDP to WMO: 14637\nPDP to LIL: 11544\nPDP to PGF: 11637\nPDP to RBR: 4453\nPDP to EYP: 5549\nPDP to CIU: 9826\nPDP to KOE: 18357\nEYP to CWL: 9217\nEYP to WMO: 9904\nEYP to LIL: 9141\nEYP to PGF: 9234\nEYP to RBR: 4390\nEYP to CIU: 4941\nEYP to KOE: 21013\nLIL to CWL: 1287\nLIL to WMO: 11860\nLIL to PGF: 1115\nLIL to RBR: 10842\nLIL to CIU: 7341\nLIL to KOE: 13405\nRBR to CWL: 10602\nRBR to WMO: 12422\nRBR to PGF: 10914\nRBR to CIU: 7396\nRBR to KOE: 21615\nCWL to WMO: 10855\nCWL to PGF: 1170\nCWL to CIU: 6360\nCWL to KOE: 13668\nKOE to WMO: 17404\nKOE to PGF: 14031\nKOE to CIU: 17283\nPGF to WMO: 11926\nPGF to CIU: 7425\nCIU to WMO: 6216\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 64682, "style": "rule" }
{ "exact_answer": 64682, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"PDP\", \"id\": 0}, {\"name\": \"EYP\", \"id\": 1}, {\"name\": \"LIL\", \"id\": 2}, {\"name\": \"RBR\", \"id\": 3}, {\"name\": \"CWL\", \"id\": 4}, {\"name\": \"KOE\", \"id\": 5}, {\"name\": \"PGF\", \"id\": 6}, {\"name\": \"CIU\", \"id\": 7}, {\"name\": \"WMO\", \"id\": 8}], \"links\": [{\"weight\": 11588, \"source\": 0, \"target\": 4}, {\"weight\": 14637, \"source\": 0, \"target\": 8}, {\"weight\": 11544, \"source\": 0, \"target\": 2}, {\"weight\": 11637, \"source\": 0, \"target\": 6}, {\"weight\": 4453, \"source\": 0, \"target\": 3}, {\"weight\": 5549, \"source\": 0, \"target\": 1}, {\"weight\": 9826, \"source\": 0, \"target\": 7}, {\"weight\": 18357, \"source\": 0, \"target\": 5}, {\"weight\": 9217, \"source\": 1, \"target\": 4}, {\"weight\": 9904, \"source\": 1, \"target\": 8}, {\"weight\": 9141, \"source\": 1, \"target\": 2}, {\"weight\": 9234, \"source\": 1, \"target\": 6}, {\"weight\": 4390, \"source\": 1, \"target\": 3}, {\"weight\": 4941, \"source\": 1, \"target\": 7}, {\"weight\": 21013, \"source\": 1, \"target\": 5}, {\"weight\": 1287, \"source\": 2, \"target\": 4}, {\"weight\": 11860, \"source\": 2, \"target\": 8}, {\"weight\": 1115, \"source\": 2, \"target\": 6}, {\"weight\": 10842, \"source\": 2, \"target\": 3}, {\"weight\": 7341, \"source\": 2, \"target\": 7}, {\"weight\": 13405, \"source\": 2, \"target\": 5}, {\"weight\": 10602, \"source\": 3, \"target\": 4}, {\"weight\": 12422, \"source\": 3, \"target\": 8}, {\"weight\": 10914, \"source\": 3, \"target\": 6}, {\"weight\": 7396, \"source\": 3, \"target\": 7}, {\"weight\": 21615, \"source\": 3, \"target\": 5}, {\"weight\": 10855, \"source\": 4, \"target\": 8}, {\"weight\": 1170, \"source\": 4, \"target\": 6}, {\"weight\": 6360, \"source\": 4, \"target\": 7}, {\"weight\": 13668, \"source\": 4, \"target\": 5}, {\"weight\": 17404, \"source\": 5, \"target\": 8}, {\"weight\": 14031, \"source\": 5, \"target\": 6}, {\"weight\": 17283, \"source\": 5, \"target\": 7}, {\"weight\": 11926, \"source\": 6, \"target\": 8}, {\"weight\": 7425, \"source\": 6, \"target\": 7}, {\"weight\": 6216, \"source\": 7, \"target\": 8}]}", "id": 675, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PDP, EYP, LIL, RBR, CWL, KOE, PGF, CIU, WMO\n- Travel distances (in kilometers) between each pair of airports:\nPDP to CWL: 11588\nPDP to WMO: 14637\nPDP to LIL: 11544\nPDP to PGF: 11637\nPDP to RBR: 4453\nPDP to EYP: 5549\nPDP to CIU: 9826\nPDP to KOE: 18357\nEYP to CWL: 9217\nEYP to WMO: 9904\nEYP to LIL: 9141\nEYP to PGF: 9234\nEYP to RBR: 4390\nEYP to CIU: 4941\nEYP to KOE: 21013\nLIL to CWL: 1287\nLIL to WMO: 11860\nLIL to PGF: 1115\nLIL to RBR: 10842\nLIL to CIU: 7341\nLIL to KOE: 13405\nRBR to CWL: 10602\nRBR to WMO: 12422\nRBR to PGF: 10914\nRBR to CIU: 7396\nRBR to KOE: 21615\nCWL to WMO: 10855\nCWL to PGF: 1170\nCWL to CIU: 6360\nCWL to KOE: 13668\nKOE to WMO: 17404\nKOE to PGF: 14031\nKOE to CIU: 17283\nPGF to WMO: 11926\nPGF to CIU: 7425\nCIU to WMO: 6216\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: REN, QUW, VLD, HOD, GEO, ANC, BYC, KAN, VXE\n- Travel distances (in kilometers) between each pair of airports:\nREN to ANC: 12671\nREN to BYC: 14154\nREN to VLD: 10222\nREN to GEO: 11286\nREN to HOD: 5491\nREN to QUW: 6494\nREN to KAN: 6724\nREN to VXE: 8022\nQUW to ANC: 10095\nQUW to BYC: 13332\nQUW to VLD: 7646\nQUW to GEO: 10088\nQUW to HOD: 9324\nQUW to KAN: 8992\nQUW to VXE: 8132\nVLD to ANC: 5836\nVLD to BYC: 6957\nVLD to GEO: 4426\nVLD to HOD: 12649\nVLD to KAN: 10563\nVLD to VXE: 7574\nHOD to ANC: 15501\nHOD to BYC: 13508\nHOD to GEO: 12762\nHOD to KAN: 4027\nHOD to VXE: 7813\nGEO to ANC: 9566\nGEO to BYC: 5323\nGEO to KAN: 9136\nGEO to VXE: 5487\nANC to BYC: 12062\nANC to KAN: 14772\nANC to VXE: 11564\nBYC to KAN: 9631\nBYC to VXE: 7705\nKAN to VXE: 4187\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 53584, "style": "rule" }
{ "exact_answer": 53584, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"REN\", \"id\": 0}, {\"name\": \"QUW\", \"id\": 1}, {\"name\": \"VLD\", \"id\": 2}, {\"name\": \"HOD\", \"id\": 3}, {\"name\": \"GEO\", \"id\": 4}, {\"name\": \"ANC\", \"id\": 5}, {\"name\": \"BYC\", \"id\": 6}, {\"name\": \"KAN\", \"id\": 7}, {\"name\": \"VXE\", \"id\": 8}], \"links\": [{\"weight\": 12671, \"source\": 0, \"target\": 5}, {\"weight\": 14154, \"source\": 0, \"target\": 6}, {\"weight\": 10222, \"source\": 0, \"target\": 2}, {\"weight\": 11286, \"source\": 0, \"target\": 4}, {\"weight\": 5491, \"source\": 0, \"target\": 3}, {\"weight\": 6494, \"source\": 0, \"target\": 1}, {\"weight\": 6724, \"source\": 0, \"target\": 7}, {\"weight\": 8022, \"source\": 0, \"target\": 8}, {\"weight\": 10095, \"source\": 1, \"target\": 5}, {\"weight\": 13332, \"source\": 1, \"target\": 6}, {\"weight\": 7646, \"source\": 1, \"target\": 2}, {\"weight\": 10088, \"source\": 1, \"target\": 4}, {\"weight\": 9324, \"source\": 1, \"target\": 3}, {\"weight\": 8992, \"source\": 1, \"target\": 7}, {\"weight\": 8132, \"source\": 1, \"target\": 8}, {\"weight\": 5836, \"source\": 2, \"target\": 5}, {\"weight\": 6957, \"source\": 2, \"target\": 6}, {\"weight\": 4426, \"source\": 2, \"target\": 4}, {\"weight\": 12649, \"source\": 2, \"target\": 3}, {\"weight\": 10563, \"source\": 2, \"target\": 7}, {\"weight\": 7574, \"source\": 2, \"target\": 8}, {\"weight\": 15501, \"source\": 3, \"target\": 5}, {\"weight\": 13508, \"source\": 3, \"target\": 6}, {\"weight\": 12762, \"source\": 3, \"target\": 4}, {\"weight\": 4027, \"source\": 3, \"target\": 7}, {\"weight\": 7813, \"source\": 3, \"target\": 8}, {\"weight\": 9566, \"source\": 4, \"target\": 5}, {\"weight\": 5323, \"source\": 4, \"target\": 6}, {\"weight\": 9136, \"source\": 4, \"target\": 7}, {\"weight\": 5487, \"source\": 4, \"target\": 8}, {\"weight\": 12062, \"source\": 5, \"target\": 6}, {\"weight\": 14772, \"source\": 5, \"target\": 7}, {\"weight\": 11564, \"source\": 5, \"target\": 8}, {\"weight\": 9631, \"source\": 6, \"target\": 7}, {\"weight\": 7705, \"source\": 6, \"target\": 8}, {\"weight\": 4187, \"source\": 7, \"target\": 8}]}", "id": 676, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: REN, QUW, VLD, HOD, GEO, ANC, BYC, KAN, VXE\n- Travel distances (in kilometers) between each pair of airports:\nREN to ANC: 12671\nREN to BYC: 14154\nREN to VLD: 10222\nREN to GEO: 11286\nREN to HOD: 5491\nREN to QUW: 6494\nREN to KAN: 6724\nREN to VXE: 8022\nQUW to ANC: 10095\nQUW to BYC: 13332\nQUW to VLD: 7646\nQUW to GEO: 10088\nQUW to HOD: 9324\nQUW to KAN: 8992\nQUW to VXE: 8132\nVLD to ANC: 5836\nVLD to BYC: 6957\nVLD to GEO: 4426\nVLD to HOD: 12649\nVLD to KAN: 10563\nVLD to VXE: 7574\nHOD to ANC: 15501\nHOD to BYC: 13508\nHOD to GEO: 12762\nHOD to KAN: 4027\nHOD to VXE: 7813\nGEO to ANC: 9566\nGEO to BYC: 5323\nGEO to KAN: 9136\nGEO to VXE: 5487\nANC to BYC: 12062\nANC to KAN: 14772\nANC to VXE: 11564\nBYC to KAN: 9631\nBYC to VXE: 7705\nKAN to VXE: 4187\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SPC, PAG, SLI, SEZ, PGA, ERN, HOI, JUB, WDH\n- Travel distances (in kilometers) between each pair of airports:\nSPC to JUB: 7624\nSPC to PAG: 14285\nSPC to ERN: 8161\nSPC to SEZ: 9678\nSPC to WDH: 7399\nSPC to PGA: 9070\nSPC to SLI: 7607\nSPC to HOI: 17307\nPAG to JUB: 10648\nPAG to ERN: 20595\nPAG to SEZ: 8351\nPAG to WDH: 12522\nPAG to PGA: 13036\nPAG to SLI: 12049\nPAG to HOI: 12427\nSLI to JUB: 2757\nSLI to ERN: 12468\nSLI to SEZ: 3947\nSLI to WDH: 1818\nSLI to PGA: 15559\nSLI to HOI: 19686\nSEZ to JUB: 3004\nSEZ to ERN: 15092\nSEZ to WDH: 4920\nSEZ to PGA: 16323\nSEZ to HOI: 17974\nPGA to JUB: 14491\nPGA to ERN: 8498\nPGA to WDH: 15168\nPGA to HOI: 8252\nERN to JUB: 13240\nERN to WDH: 11827\nERN to HOI: 15427\nHOI to JUB: 20211\nHOI to WDH: 19232\nJUB to WDH: 4121\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 60667, "style": "rule" }
{ "exact_answer": 60667, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"SPC\", \"id\": 0}, {\"name\": \"PAG\", \"id\": 1}, {\"name\": \"SLI\", \"id\": 2}, {\"name\": \"SEZ\", \"id\": 3}, {\"name\": \"PGA\", \"id\": 4}, {\"name\": \"ERN\", \"id\": 5}, {\"name\": \"HOI\", \"id\": 6}, {\"name\": \"JUB\", \"id\": 7}, {\"name\": \"WDH\", \"id\": 8}], \"links\": [{\"weight\": 7624, \"source\": 0, \"target\": 7}, {\"weight\": 14285, \"source\": 0, \"target\": 1}, {\"weight\": 8161, \"source\": 0, \"target\": 5}, {\"weight\": 9678, \"source\": 0, \"target\": 3}, {\"weight\": 7399, \"source\": 0, \"target\": 8}, {\"weight\": 9070, \"source\": 0, \"target\": 4}, {\"weight\": 7607, \"source\": 0, \"target\": 2}, {\"weight\": 17307, \"source\": 0, \"target\": 6}, {\"weight\": 10648, \"source\": 1, \"target\": 7}, {\"weight\": 20595, \"source\": 1, \"target\": 5}, {\"weight\": 8351, \"source\": 1, \"target\": 3}, {\"weight\": 12522, \"source\": 1, \"target\": 8}, {\"weight\": 13036, \"source\": 1, \"target\": 4}, {\"weight\": 12049, \"source\": 1, \"target\": 2}, {\"weight\": 12427, \"source\": 1, \"target\": 6}, {\"weight\": 2757, \"source\": 2, \"target\": 7}, {\"weight\": 12468, \"source\": 2, \"target\": 5}, {\"weight\": 3947, \"source\": 2, \"target\": 3}, {\"weight\": 1818, \"source\": 2, \"target\": 8}, {\"weight\": 15559, \"source\": 2, \"target\": 4}, {\"weight\": 19686, \"source\": 2, \"target\": 6}, {\"weight\": 3004, \"source\": 3, \"target\": 7}, {\"weight\": 15092, \"source\": 3, \"target\": 5}, {\"weight\": 4920, \"source\": 3, \"target\": 8}, {\"weight\": 16323, \"source\": 3, \"target\": 4}, {\"weight\": 17974, \"source\": 3, \"target\": 6}, {\"weight\": 14491, \"source\": 4, \"target\": 7}, {\"weight\": 8498, \"source\": 4, \"target\": 5}, {\"weight\": 15168, \"source\": 4, \"target\": 8}, {\"weight\": 8252, \"source\": 4, \"target\": 6}, {\"weight\": 13240, \"source\": 5, \"target\": 7}, {\"weight\": 11827, \"source\": 5, \"target\": 8}, {\"weight\": 15427, \"source\": 5, \"target\": 6}, {\"weight\": 20211, \"source\": 6, \"target\": 7}, {\"weight\": 19232, \"source\": 6, \"target\": 8}, {\"weight\": 4121, \"source\": 7, \"target\": 8}]}", "id": 677, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SPC, PAG, SLI, SEZ, PGA, ERN, HOI, JUB, WDH\n- Travel distances (in kilometers) between each pair of airports:\nSPC to JUB: 7624\nSPC to PAG: 14285\nSPC to ERN: 8161\nSPC to SEZ: 9678\nSPC to WDH: 7399\nSPC to PGA: 9070\nSPC to SLI: 7607\nSPC to HOI: 17307\nPAG to JUB: 10648\nPAG to ERN: 20595\nPAG to SEZ: 8351\nPAG to WDH: 12522\nPAG to PGA: 13036\nPAG to SLI: 12049\nPAG to HOI: 12427\nSLI to JUB: 2757\nSLI to ERN: 12468\nSLI to SEZ: 3947\nSLI to WDH: 1818\nSLI to PGA: 15559\nSLI to HOI: 19686\nSEZ to JUB: 3004\nSEZ to ERN: 15092\nSEZ to WDH: 4920\nSEZ to PGA: 16323\nSEZ to HOI: 17974\nPGA to JUB: 14491\nPGA to ERN: 8498\nPGA to WDH: 15168\nPGA to HOI: 8252\nERN to JUB: 13240\nERN to WDH: 11827\nERN to HOI: 15427\nHOI to JUB: 20211\nHOI to WDH: 19232\nJUB to WDH: 4121\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PLJ, PPN, TYN, SUB, LCK, GAO, THD, ESU, KCZ\n- Travel distances (in kilometers) between each pair of airports:\nPLJ to TYN: 13653\nPLJ to SUB: 17998\nPLJ to ESU: 10951\nPLJ to PPN: 2639\nPLJ to GAO: 1853\nPLJ to LCK: 2926\nPLJ to KCZ: 12994\nPLJ to THD: 17578\nPPN to TYN: 15724\nPPN to SUB: 20320\nPPN to ESU: 11033\nPPN to GAO: 3405\nPPN to LCK: 4385\nPPN to KCZ: 15282\nPPN to THD: 19694\nTYN to SUB: 5024\nTYN to ESU: 10478\nTYN to GAO: 14120\nTYN to LCK: 13814\nTYN to KCZ: 2361\nTYN to THD: 4083\nSUB to ESU: 13868\nSUB to GAO: 18931\nSUB to LCK: 18528\nSUB to KCZ: 5659\nSUB to THD: 3472\nLCK to ESU: 10746\nLCK to GAO: 3242\nLCK to KCZ: 13542\nLCK to THD: 17784\nGAO to ESU: 10730\nGAO to KCZ: 13958\nGAO to THD: 18090\nTHD to ESU: 13039\nTHD to KCZ: 5162\nESU to KCZ: 12297\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 56001, "style": "rule" }
{ "exact_answer": 56001, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"PLJ\", \"id\": 0}, {\"name\": \"PPN\", \"id\": 1}, {\"name\": \"TYN\", \"id\": 2}, {\"name\": \"SUB\", \"id\": 3}, {\"name\": \"LCK\", \"id\": 4}, {\"name\": \"GAO\", \"id\": 5}, {\"name\": \"THD\", \"id\": 6}, {\"name\": \"ESU\", \"id\": 7}, {\"name\": \"KCZ\", \"id\": 8}], \"links\": [{\"weight\": 13653, \"source\": 0, \"target\": 2}, {\"weight\": 17998, \"source\": 0, \"target\": 3}, {\"weight\": 10951, \"source\": 0, \"target\": 7}, {\"weight\": 2639, \"source\": 0, \"target\": 1}, {\"weight\": 1853, \"source\": 0, \"target\": 5}, {\"weight\": 2926, \"source\": 0, \"target\": 4}, {\"weight\": 12994, \"source\": 0, \"target\": 8}, {\"weight\": 17578, \"source\": 0, \"target\": 6}, {\"weight\": 15724, \"source\": 1, \"target\": 2}, {\"weight\": 20320, \"source\": 1, \"target\": 3}, {\"weight\": 11033, \"source\": 1, \"target\": 7}, {\"weight\": 3405, \"source\": 1, \"target\": 5}, {\"weight\": 4385, \"source\": 1, \"target\": 4}, {\"weight\": 15282, \"source\": 1, \"target\": 8}, {\"weight\": 19694, \"source\": 1, \"target\": 6}, {\"weight\": 5024, \"source\": 2, \"target\": 3}, {\"weight\": 10478, \"source\": 2, \"target\": 7}, {\"weight\": 14120, \"source\": 2, \"target\": 5}, {\"weight\": 13814, \"source\": 2, \"target\": 4}, {\"weight\": 2361, \"source\": 2, \"target\": 8}, {\"weight\": 4083, \"source\": 2, \"target\": 6}, {\"weight\": 13868, \"source\": 3, \"target\": 7}, {\"weight\": 18931, \"source\": 3, \"target\": 5}, {\"weight\": 18528, \"source\": 3, \"target\": 4}, {\"weight\": 5659, \"source\": 3, \"target\": 8}, {\"weight\": 3472, \"source\": 3, \"target\": 6}, {\"weight\": 10746, \"source\": 4, \"target\": 7}, {\"weight\": 3242, \"source\": 4, \"target\": 5}, {\"weight\": 13542, \"source\": 4, \"target\": 8}, {\"weight\": 17784, \"source\": 4, \"target\": 6}, {\"weight\": 10730, \"source\": 5, \"target\": 7}, {\"weight\": 13958, \"source\": 5, \"target\": 8}, {\"weight\": 18090, \"source\": 5, \"target\": 6}, {\"weight\": 13039, \"source\": 6, \"target\": 7}, {\"weight\": 5162, \"source\": 6, \"target\": 8}, {\"weight\": 12297, \"source\": 7, \"target\": 8}]}", "id": 678, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PLJ, PPN, TYN, SUB, LCK, GAO, THD, ESU, KCZ\n- Travel distances (in kilometers) between each pair of airports:\nPLJ to TYN: 13653\nPLJ to SUB: 17998\nPLJ to ESU: 10951\nPLJ to PPN: 2639\nPLJ to GAO: 1853\nPLJ to LCK: 2926\nPLJ to KCZ: 12994\nPLJ to THD: 17578\nPPN to TYN: 15724\nPPN to SUB: 20320\nPPN to ESU: 11033\nPPN to GAO: 3405\nPPN to LCK: 4385\nPPN to KCZ: 15282\nPPN to THD: 19694\nTYN to SUB: 5024\nTYN to ESU: 10478\nTYN to GAO: 14120\nTYN to LCK: 13814\nTYN to KCZ: 2361\nTYN to THD: 4083\nSUB to ESU: 13868\nSUB to GAO: 18931\nSUB to LCK: 18528\nSUB to KCZ: 5659\nSUB to THD: 3472\nLCK to ESU: 10746\nLCK to GAO: 3242\nLCK to KCZ: 13542\nLCK to THD: 17784\nGAO to ESU: 10730\nGAO to KCZ: 13958\nGAO to THD: 18090\nTHD to ESU: 13039\nTHD to KCZ: 5162\nESU to KCZ: 12297\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: VAA, WRL, NDG, TRZ, BRC, YPX, TLE, VDZ, YRG\n- Travel distances (in kilometers) between each pair of airports:\nVAA to YPX: 8007\nVAA to VDZ: 10908\nVAA to BRC: 14335\nVAA to TRZ: 7624\nVAA to NDG: 7644\nVAA to WRL: 8845\nVAA to TLE: 10110\nVAA to YRG: 6598\nWRL to YPX: 3790\nWRL to VDZ: 4612\nWRL to BRC: 10590\nWRL to TRZ: 15995\nWRL to NDG: 11818\nWRL to TLE: 17779\nWRL to YRG: 4692\nNDG to YPX: 13326\nNDG to VDZ: 12194\nNDG to BRC: 21165\nNDG to TRZ: 6256\nNDG to TLE: 11790\nNDG to YRG: 13614\nTRZ to YPX: 14645\nTRZ to VDZ: 16473\nTRZ to BRC: 17649\nTRZ to TLE: 6438\nTRZ to YRG: 13236\nBRC to YPX: 11581\nBRC to VDZ: 14058\nBRC to TLE: 13244\nBRC to YRG: 11011\nYPX to VDZ: 6424\nYPX to TLE: 15852\nYPX to YRG: 1729\nTLE to VDZ: 19921\nTLE to YRG: 14443\nVDZ to YRG: 7324\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 63535, "style": "rule" }
{ "exact_answer": 63535, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"VAA\", \"id\": 0}, {\"name\": \"WRL\", \"id\": 1}, {\"name\": \"NDG\", \"id\": 2}, {\"name\": \"TRZ\", \"id\": 3}, {\"name\": \"BRC\", \"id\": 4}, {\"name\": \"YPX\", \"id\": 5}, {\"name\": \"TLE\", \"id\": 6}, {\"name\": \"VDZ\", \"id\": 7}, {\"name\": \"YRG\", \"id\": 8}], \"links\": [{\"weight\": 8007, \"source\": 0, \"target\": 5}, {\"weight\": 10908, \"source\": 0, \"target\": 7}, {\"weight\": 14335, \"source\": 0, \"target\": 4}, {\"weight\": 7624, \"source\": 0, \"target\": 3}, {\"weight\": 7644, \"source\": 0, \"target\": 2}, {\"weight\": 8845, \"source\": 0, \"target\": 1}, {\"weight\": 10110, \"source\": 0, \"target\": 6}, {\"weight\": 6598, \"source\": 0, \"target\": 8}, {\"weight\": 3790, \"source\": 1, \"target\": 5}, {\"weight\": 4612, \"source\": 1, \"target\": 7}, {\"weight\": 10590, \"source\": 1, \"target\": 4}, {\"weight\": 15995, \"source\": 1, \"target\": 3}, {\"weight\": 11818, \"source\": 1, \"target\": 2}, {\"weight\": 17779, \"source\": 1, \"target\": 6}, {\"weight\": 4692, \"source\": 1, \"target\": 8}, {\"weight\": 13326, \"source\": 2, \"target\": 5}, {\"weight\": 12194, \"source\": 2, \"target\": 7}, {\"weight\": 21165, \"source\": 2, \"target\": 4}, {\"weight\": 6256, \"source\": 2, \"target\": 3}, {\"weight\": 11790, \"source\": 2, \"target\": 6}, {\"weight\": 13614, \"source\": 2, \"target\": 8}, {\"weight\": 14645, \"source\": 3, \"target\": 5}, {\"weight\": 16473, \"source\": 3, \"target\": 7}, {\"weight\": 17649, \"source\": 3, \"target\": 4}, {\"weight\": 6438, \"source\": 3, \"target\": 6}, {\"weight\": 13236, \"source\": 3, \"target\": 8}, {\"weight\": 11581, \"source\": 4, \"target\": 5}, {\"weight\": 14058, \"source\": 4, \"target\": 7}, {\"weight\": 13244, \"source\": 4, \"target\": 6}, {\"weight\": 11011, \"source\": 4, \"target\": 8}, {\"weight\": 6424, \"source\": 5, \"target\": 7}, {\"weight\": 15852, \"source\": 5, \"target\": 6}, {\"weight\": 1729, \"source\": 5, \"target\": 8}, {\"weight\": 19921, \"source\": 6, \"target\": 7}, {\"weight\": 14443, \"source\": 6, \"target\": 8}, {\"weight\": 7324, \"source\": 7, \"target\": 8}]}", "id": 679, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: VAA, WRL, NDG, TRZ, BRC, YPX, TLE, VDZ, YRG\n- Travel distances (in kilometers) between each pair of airports:\nVAA to YPX: 8007\nVAA to VDZ: 10908\nVAA to BRC: 14335\nVAA to TRZ: 7624\nVAA to NDG: 7644\nVAA to WRL: 8845\nVAA to TLE: 10110\nVAA to YRG: 6598\nWRL to YPX: 3790\nWRL to VDZ: 4612\nWRL to BRC: 10590\nWRL to TRZ: 15995\nWRL to NDG: 11818\nWRL to TLE: 17779\nWRL to YRG: 4692\nNDG to YPX: 13326\nNDG to VDZ: 12194\nNDG to BRC: 21165\nNDG to TRZ: 6256\nNDG to TLE: 11790\nNDG to YRG: 13614\nTRZ to YPX: 14645\nTRZ to VDZ: 16473\nTRZ to BRC: 17649\nTRZ to TLE: 6438\nTRZ to YRG: 13236\nBRC to YPX: 11581\nBRC to VDZ: 14058\nBRC to TLE: 13244\nBRC to YRG: 11011\nYPX to VDZ: 6424\nYPX to TLE: 15852\nYPX to YRG: 1729\nTLE to VDZ: 19921\nTLE to YRG: 14443\nVDZ to YRG: 7324\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: KIT, COS, SKE, CAN, ZFM, CMX, HCR, DLH, OOK\n- Travel distances (in kilometers) between each pair of airports:\nKIT to CAN: 8637\nKIT to OOK: 13267\nKIT to ZFM: 11499\nKIT to HCR: 13028\nKIT to COS: 10133\nKIT to DLH: 9201\nKIT to CMX: 9429\nKIT to SKE: 3246\nCOS to CAN: 12092\nCOS to OOK: 4797\nCOS to ZFM: 3966\nCOS to HCR: 4558\nCOS to DLH: 1440\nCOS to CMX: 2040\nCOS to SKE: 7605\nSKE to CAN: 9049\nSKE to OOK: 10715\nSKE to ZFM: 8941\nSKE to HCR: 10476\nSKE to DLH: 7252\nSKE to CMX: 7210\nCAN to OOK: 13519\nCAN to ZFM: 13269\nCAN to HCR: 13280\nCAN to DLH: 12727\nCAN to CMX: 13020\nZFM to OOK: 6297\nZFM to HCR: 6058\nZFM to DLH: 4233\nZFM to CMX: 5115\nCMX to OOK: 5963\nCMX to HCR: 5724\nCMX to DLH: 1216\nHCR to OOK: 404\nHCR to DLH: 4852\nDLH to OOK: 5091\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 45696, "style": "rule" }
{ "exact_answer": 45696, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"KIT\", \"id\": 0}, {\"name\": \"COS\", \"id\": 1}, {\"name\": \"SKE\", \"id\": 2}, {\"name\": \"CAN\", \"id\": 3}, {\"name\": \"ZFM\", \"id\": 4}, {\"name\": \"CMX\", \"id\": 5}, {\"name\": \"HCR\", \"id\": 6}, {\"name\": \"DLH\", \"id\": 7}, {\"name\": \"OOK\", \"id\": 8}], \"links\": [{\"weight\": 8637, \"source\": 0, \"target\": 3}, {\"weight\": 13267, \"source\": 0, \"target\": 8}, {\"weight\": 11499, \"source\": 0, \"target\": 4}, {\"weight\": 13028, \"source\": 0, \"target\": 6}, {\"weight\": 10133, \"source\": 0, \"target\": 1}, {\"weight\": 9201, \"source\": 0, \"target\": 7}, {\"weight\": 9429, \"source\": 0, \"target\": 5}, {\"weight\": 3246, \"source\": 0, \"target\": 2}, {\"weight\": 12092, \"source\": 1, \"target\": 3}, {\"weight\": 4797, \"source\": 1, \"target\": 8}, {\"weight\": 3966, \"source\": 1, \"target\": 4}, {\"weight\": 4558, \"source\": 1, \"target\": 6}, {\"weight\": 1440, \"source\": 1, \"target\": 7}, {\"weight\": 2040, \"source\": 1, \"target\": 5}, {\"weight\": 7605, \"source\": 1, \"target\": 2}, {\"weight\": 9049, \"source\": 2, \"target\": 3}, {\"weight\": 10715, \"source\": 2, \"target\": 8}, {\"weight\": 8941, \"source\": 2, \"target\": 4}, {\"weight\": 10476, \"source\": 2, \"target\": 6}, {\"weight\": 7252, \"source\": 2, \"target\": 7}, {\"weight\": 7210, \"source\": 2, \"target\": 5}, {\"weight\": 13519, \"source\": 3, \"target\": 8}, {\"weight\": 13269, \"source\": 3, \"target\": 4}, {\"weight\": 13280, \"source\": 3, \"target\": 6}, {\"weight\": 12727, \"source\": 3, \"target\": 7}, {\"weight\": 13020, \"source\": 3, \"target\": 5}, {\"weight\": 6297, \"source\": 4, \"target\": 8}, {\"weight\": 6058, \"source\": 4, \"target\": 6}, {\"weight\": 4233, \"source\": 4, \"target\": 7}, {\"weight\": 5115, \"source\": 4, \"target\": 5}, {\"weight\": 5963, \"source\": 5, \"target\": 8}, {\"weight\": 5724, \"source\": 5, \"target\": 6}, {\"weight\": 1216, \"source\": 5, \"target\": 7}, {\"weight\": 404, \"source\": 6, \"target\": 8}, {\"weight\": 4852, \"source\": 6, \"target\": 7}, {\"weight\": 5091, \"source\": 7, \"target\": 8}]}", "id": 680, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: KIT, COS, SKE, CAN, ZFM, CMX, HCR, DLH, OOK\n- Travel distances (in kilometers) between each pair of airports:\nKIT to CAN: 8637\nKIT to OOK: 13267\nKIT to ZFM: 11499\nKIT to HCR: 13028\nKIT to COS: 10133\nKIT to DLH: 9201\nKIT to CMX: 9429\nKIT to SKE: 3246\nCOS to CAN: 12092\nCOS to OOK: 4797\nCOS to ZFM: 3966\nCOS to HCR: 4558\nCOS to DLH: 1440\nCOS to CMX: 2040\nCOS to SKE: 7605\nSKE to CAN: 9049\nSKE to OOK: 10715\nSKE to ZFM: 8941\nSKE to HCR: 10476\nSKE to DLH: 7252\nSKE to CMX: 7210\nCAN to OOK: 13519\nCAN to ZFM: 13269\nCAN to HCR: 13280\nCAN to DLH: 12727\nCAN to CMX: 13020\nZFM to OOK: 6297\nZFM to HCR: 6058\nZFM to DLH: 4233\nZFM to CMX: 5115\nCMX to OOK: 5963\nCMX to HCR: 5724\nCMX to DLH: 1216\nHCR to OOK: 404\nHCR to DLH: 4852\nDLH to OOK: 5091\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: FUK, PKY, SVZ, VOG, UME, BDU, LTD, EWN, ULG\n- Travel distances (in kilometers) between each pair of airports:\nFUK to VOG: 7497\nFUK to EWN: 12279\nFUK to UME: 8469\nFUK to BDU: 9403\nFUK to ULG: 3779\nFUK to PKY: 5556\nFUK to LTD: 10594\nFUK to SVZ: 15675\nPKY to VOG: 9526\nPKY to EWN: 17586\nPKY to UME: 11925\nPKY to BDU: 12868\nPKY to ULG: 8045\nPKY to LTD: 12046\nPKY to SVZ: 20772\nSVZ to VOG: 11422\nSVZ to EWN: 4132\nSVZ to UME: 10103\nSVZ to BDU: 10366\nSVZ to ULG: 16626\nSVZ to LTD: 9646\nVOG to EWN: 9603\nVOG to UME: 2621\nVOG to BDU: 3574\nVOG to ULG: 6390\nVOG to LTD: 3586\nUME to EWN: 7983\nUME to BDU: 1905\nUME to ULG: 7576\nUME to LTD: 3937\nBDU to EWN: 8177\nBDU to ULG: 8529\nBDU to LTD: 4539\nLTD to EWN: 9136\nLTD to ULG: 9512\nEWN to ULG: 14218\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 53883, "style": "rule" }
{ "exact_answer": 53883, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"FUK\", \"id\": 0}, {\"name\": \"PKY\", \"id\": 1}, {\"name\": \"SVZ\", \"id\": 2}, {\"name\": \"VOG\", \"id\": 3}, {\"name\": \"UME\", \"id\": 4}, {\"name\": \"BDU\", \"id\": 5}, {\"name\": \"LTD\", \"id\": 6}, {\"name\": \"EWN\", \"id\": 7}, {\"name\": \"ULG\", \"id\": 8}], \"links\": [{\"weight\": 7497, \"source\": 0, \"target\": 3}, {\"weight\": 12279, \"source\": 0, \"target\": 7}, {\"weight\": 8469, \"source\": 0, \"target\": 4}, {\"weight\": 9403, \"source\": 0, \"target\": 5}, {\"weight\": 3779, \"source\": 0, \"target\": 8}, {\"weight\": 5556, \"source\": 0, \"target\": 1}, {\"weight\": 10594, \"source\": 0, \"target\": 6}, {\"weight\": 15675, \"source\": 0, \"target\": 2}, {\"weight\": 9526, \"source\": 1, \"target\": 3}, {\"weight\": 17586, \"source\": 1, \"target\": 7}, {\"weight\": 11925, \"source\": 1, \"target\": 4}, {\"weight\": 12868, \"source\": 1, \"target\": 5}, {\"weight\": 8045, \"source\": 1, \"target\": 8}, {\"weight\": 12046, \"source\": 1, \"target\": 6}, {\"weight\": 20772, \"source\": 1, \"target\": 2}, {\"weight\": 11422, \"source\": 2, \"target\": 3}, {\"weight\": 4132, \"source\": 2, \"target\": 7}, {\"weight\": 10103, \"source\": 2, \"target\": 4}, {\"weight\": 10366, \"source\": 2, \"target\": 5}, {\"weight\": 16626, \"source\": 2, \"target\": 8}, {\"weight\": 9646, \"source\": 2, \"target\": 6}, {\"weight\": 9603, \"source\": 3, \"target\": 7}, {\"weight\": 2621, \"source\": 3, \"target\": 4}, {\"weight\": 3574, \"source\": 3, \"target\": 5}, {\"weight\": 6390, \"source\": 3, \"target\": 8}, {\"weight\": 3586, \"source\": 3, \"target\": 6}, {\"weight\": 7983, \"source\": 4, \"target\": 7}, {\"weight\": 1905, \"source\": 4, \"target\": 5}, {\"weight\": 7576, \"source\": 4, \"target\": 8}, {\"weight\": 3937, \"source\": 4, \"target\": 6}, {\"weight\": 8177, \"source\": 5, \"target\": 7}, {\"weight\": 8529, \"source\": 5, \"target\": 8}, {\"weight\": 4539, \"source\": 5, \"target\": 6}, {\"weight\": 9136, \"source\": 6, \"target\": 7}, {\"weight\": 9512, \"source\": 6, \"target\": 8}, {\"weight\": 14218, \"source\": 7, \"target\": 8}]}", "id": 681, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: FUK, PKY, SVZ, VOG, UME, BDU, LTD, EWN, ULG\n- Travel distances (in kilometers) between each pair of airports:\nFUK to VOG: 7497\nFUK to EWN: 12279\nFUK to UME: 8469\nFUK to BDU: 9403\nFUK to ULG: 3779\nFUK to PKY: 5556\nFUK to LTD: 10594\nFUK to SVZ: 15675\nPKY to VOG: 9526\nPKY to EWN: 17586\nPKY to UME: 11925\nPKY to BDU: 12868\nPKY to ULG: 8045\nPKY to LTD: 12046\nPKY to SVZ: 20772\nSVZ to VOG: 11422\nSVZ to EWN: 4132\nSVZ to UME: 10103\nSVZ to BDU: 10366\nSVZ to ULG: 16626\nSVZ to LTD: 9646\nVOG to EWN: 9603\nVOG to UME: 2621\nVOG to BDU: 3574\nVOG to ULG: 6390\nVOG to LTD: 3586\nUME to EWN: 7983\nUME to BDU: 1905\nUME to ULG: 7576\nUME to LTD: 3937\nBDU to EWN: 8177\nBDU to ULG: 8529\nBDU to LTD: 4539\nLTD to EWN: 9136\nLTD to ULG: 9512\nEWN to ULG: 14218\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BEW, PSJ, JNN, CLD, COR, OIT, MGZ, YRA, ANR\n- Travel distances (in kilometers) between each pair of airports:\nBEW to MGZ: 10047\nBEW to COR: 10373\nBEW to YRA: 17141\nBEW to ANR: 9403\nBEW to OIT: 12888\nBEW to JNN: 12966\nBEW to PSJ: 11929\nBEW to CLD: 17824\nPSJ to MGZ: 4794\nPSJ to COR: 17677\nPSJ to YRA: 15382\nPSJ to ANR: 13447\nPSJ to OIT: 6064\nPSJ to JNN: 15884\nPSJ to CLD: 14771\nJNN to MGZ: 12575\nJNN to COR: 14436\nJNN to YRA: 8173\nJNN to ANR: 4221\nJNN to OIT: 12127\nJNN to CLD: 9245\nCLD to MGZ: 13989\nCLD to COR: 9378\nCLD to YRA: 3576\nCLD to ANR: 9431\nCLD to OIT: 9721\nCOR to MGZ: 19034\nCOR to YRA: 11813\nCOR to ANR: 11803\nCOR to OIT: 18823\nOIT to MGZ: 4963\nOIT to YRA: 10271\nOIT to ANR: 9823\nMGZ to YRA: 14368\nMGZ to ANR: 9914\nYRA to ANR: 8396\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 66449, "style": "rule" }
{ "exact_answer": 66449, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"BEW\", \"id\": 0}, {\"name\": \"PSJ\", \"id\": 1}, {\"name\": \"JNN\", \"id\": 2}, {\"name\": \"CLD\", \"id\": 3}, {\"name\": \"COR\", \"id\": 4}, {\"name\": \"OIT\", \"id\": 5}, {\"name\": \"MGZ\", \"id\": 6}, {\"name\": \"YRA\", \"id\": 7}, {\"name\": \"ANR\", \"id\": 8}], \"links\": [{\"weight\": 10047, \"source\": 0, \"target\": 6}, {\"weight\": 10373, \"source\": 0, \"target\": 4}, {\"weight\": 17141, \"source\": 0, \"target\": 7}, {\"weight\": 9403, \"source\": 0, \"target\": 8}, {\"weight\": 12888, \"source\": 0, \"target\": 5}, {\"weight\": 12966, \"source\": 0, \"target\": 2}, {\"weight\": 11929, \"source\": 0, \"target\": 1}, {\"weight\": 17824, \"source\": 0, \"target\": 3}, {\"weight\": 4794, \"source\": 1, \"target\": 6}, {\"weight\": 17677, \"source\": 1, \"target\": 4}, {\"weight\": 15382, \"source\": 1, \"target\": 7}, {\"weight\": 13447, \"source\": 1, \"target\": 8}, {\"weight\": 6064, \"source\": 1, \"target\": 5}, {\"weight\": 15884, \"source\": 1, \"target\": 2}, {\"weight\": 14771, \"source\": 1, \"target\": 3}, {\"weight\": 12575, \"source\": 2, \"target\": 6}, {\"weight\": 14436, \"source\": 2, \"target\": 4}, {\"weight\": 8173, \"source\": 2, \"target\": 7}, {\"weight\": 4221, \"source\": 2, \"target\": 8}, {\"weight\": 12127, \"source\": 2, \"target\": 5}, {\"weight\": 9245, \"source\": 2, \"target\": 3}, {\"weight\": 13989, \"source\": 3, \"target\": 6}, {\"weight\": 9378, \"source\": 3, \"target\": 4}, {\"weight\": 3576, \"source\": 3, \"target\": 7}, {\"weight\": 9431, \"source\": 3, \"target\": 8}, {\"weight\": 9721, \"source\": 3, \"target\": 5}, {\"weight\": 19034, \"source\": 4, \"target\": 6}, {\"weight\": 11813, \"source\": 4, \"target\": 7}, {\"weight\": 11803, \"source\": 4, \"target\": 8}, {\"weight\": 18823, \"source\": 4, \"target\": 5}, {\"weight\": 4963, \"source\": 5, \"target\": 6}, {\"weight\": 10271, \"source\": 5, \"target\": 7}, {\"weight\": 9823, \"source\": 5, \"target\": 8}, {\"weight\": 14368, \"source\": 6, \"target\": 7}, {\"weight\": 9914, \"source\": 6, \"target\": 8}, {\"weight\": 8396, \"source\": 7, \"target\": 8}]}", "id": 682, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BEW, PSJ, JNN, CLD, COR, OIT, MGZ, YRA, ANR\n- Travel distances (in kilometers) between each pair of airports:\nBEW to MGZ: 10047\nBEW to COR: 10373\nBEW to YRA: 17141\nBEW to ANR: 9403\nBEW to OIT: 12888\nBEW to JNN: 12966\nBEW to PSJ: 11929\nBEW to CLD: 17824\nPSJ to MGZ: 4794\nPSJ to COR: 17677\nPSJ to YRA: 15382\nPSJ to ANR: 13447\nPSJ to OIT: 6064\nPSJ to JNN: 15884\nPSJ to CLD: 14771\nJNN to MGZ: 12575\nJNN to COR: 14436\nJNN to YRA: 8173\nJNN to ANR: 4221\nJNN to OIT: 12127\nJNN to CLD: 9245\nCLD to MGZ: 13989\nCLD to COR: 9378\nCLD to YRA: 3576\nCLD to ANR: 9431\nCLD to OIT: 9721\nCOR to MGZ: 19034\nCOR to YRA: 11813\nCOR to ANR: 11803\nCOR to OIT: 18823\nOIT to MGZ: 4963\nOIT to YRA: 10271\nOIT to ANR: 9823\nMGZ to YRA: 14368\nMGZ to ANR: 9914\nYRA to ANR: 8396\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: YBR, NUS, TKS, GOJ, MSR, PJM, PIH, RSA, BWN\n- Travel distances (in kilometers) between each pair of airports:\nYBR to PJM: 6508\nYBR to BWN: 13253\nYBR to RSA: 12621\nYBR to PIH: 2401\nYBR to TKS: 9743\nYBR to GOJ: 9880\nYBR to NUS: 12310\nYBR to MSR: 11427\nNUS to PJM: 14633\nNUS to BWN: 7531\nNUS to RSA: 13817\nNUS to PIH: 11251\nNUS to TKS: 8738\nNUS to GOJ: 14832\nNUS to MSR: 16518\nTKS to PJM: 13873\nTKS to BWN: 4748\nTKS to RSA: 19774\nTKS to PIH: 9555\nTKS to GOJ: 7965\nTKS to MSR: 10294\nGOJ to PJM: 11589\nGOJ to BWN: 8601\nGOJ to RSA: 14439\nGOJ to PIH: 10277\nGOJ to MSR: 2918\nMSR to PJM: 12517\nMSR to BWN: 9762\nMSR to RSA: 13956\nMSR to PIH: 11737\nPJM to BWN: 17567\nPJM to RSA: 6505\nPJM to PIH: 4857\nPIH to BWN: 13300\nPIH to RSA: 10970\nRSA to BWN: 19377\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 62169, "style": "rule" }
{ "exact_answer": 62169, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"YBR\", \"id\": 0}, {\"name\": \"NUS\", \"id\": 1}, {\"name\": \"TKS\", \"id\": 2}, {\"name\": \"GOJ\", \"id\": 3}, {\"name\": \"MSR\", \"id\": 4}, {\"name\": \"PJM\", \"id\": 5}, {\"name\": \"PIH\", \"id\": 6}, {\"name\": \"RSA\", \"id\": 7}, {\"name\": \"BWN\", \"id\": 8}], \"links\": [{\"weight\": 6508, \"source\": 0, \"target\": 5}, {\"weight\": 13253, \"source\": 0, \"target\": 8}, {\"weight\": 12621, \"source\": 0, \"target\": 7}, {\"weight\": 2401, \"source\": 0, \"target\": 6}, {\"weight\": 9743, \"source\": 0, \"target\": 2}, {\"weight\": 9880, \"source\": 0, \"target\": 3}, {\"weight\": 12310, \"source\": 0, \"target\": 1}, {\"weight\": 11427, \"source\": 0, \"target\": 4}, {\"weight\": 14633, \"source\": 1, \"target\": 5}, {\"weight\": 7531, \"source\": 1, \"target\": 8}, {\"weight\": 13817, \"source\": 1, \"target\": 7}, {\"weight\": 11251, \"source\": 1, \"target\": 6}, {\"weight\": 8738, \"source\": 1, \"target\": 2}, {\"weight\": 14832, \"source\": 1, \"target\": 3}, {\"weight\": 16518, \"source\": 1, \"target\": 4}, {\"weight\": 13873, \"source\": 2, \"target\": 5}, {\"weight\": 4748, \"source\": 2, \"target\": 8}, {\"weight\": 19774, \"source\": 2, \"target\": 7}, {\"weight\": 9555, \"source\": 2, \"target\": 6}, {\"weight\": 7965, \"source\": 2, \"target\": 3}, {\"weight\": 10294, \"source\": 2, \"target\": 4}, {\"weight\": 11589, \"source\": 3, \"target\": 5}, {\"weight\": 8601, \"source\": 3, \"target\": 8}, {\"weight\": 14439, \"source\": 3, \"target\": 7}, {\"weight\": 10277, \"source\": 3, \"target\": 6}, {\"weight\": 2918, \"source\": 3, \"target\": 4}, {\"weight\": 12517, \"source\": 4, \"target\": 5}, {\"weight\": 9762, \"source\": 4, \"target\": 8}, {\"weight\": 13956, \"source\": 4, \"target\": 7}, {\"weight\": 11737, \"source\": 4, \"target\": 6}, {\"weight\": 17567, \"source\": 5, \"target\": 8}, {\"weight\": 6505, \"source\": 5, \"target\": 7}, {\"weight\": 4857, \"source\": 5, \"target\": 6}, {\"weight\": 13300, \"source\": 6, \"target\": 8}, {\"weight\": 10970, \"source\": 6, \"target\": 7}, {\"weight\": 19377, \"source\": 7, \"target\": 8}]}", "id": 683, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: YBR, NUS, TKS, GOJ, MSR, PJM, PIH, RSA, BWN\n- Travel distances (in kilometers) between each pair of airports:\nYBR to PJM: 6508\nYBR to BWN: 13253\nYBR to RSA: 12621\nYBR to PIH: 2401\nYBR to TKS: 9743\nYBR to GOJ: 9880\nYBR to NUS: 12310\nYBR to MSR: 11427\nNUS to PJM: 14633\nNUS to BWN: 7531\nNUS to RSA: 13817\nNUS to PIH: 11251\nNUS to TKS: 8738\nNUS to GOJ: 14832\nNUS to MSR: 16518\nTKS to PJM: 13873\nTKS to BWN: 4748\nTKS to RSA: 19774\nTKS to PIH: 9555\nTKS to GOJ: 7965\nTKS to MSR: 10294\nGOJ to PJM: 11589\nGOJ to BWN: 8601\nGOJ to RSA: 14439\nGOJ to PIH: 10277\nGOJ to MSR: 2918\nMSR to PJM: 12517\nMSR to BWN: 9762\nMSR to RSA: 13956\nMSR to PIH: 11737\nPJM to BWN: 17567\nPJM to RSA: 6505\nPJM to PIH: 4857\nPIH to BWN: 13300\nPIH to RSA: 10970\nRSA to BWN: 19377\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: MMU, VUP, AUA, RGS, SXO, MAN, NDB, KYP, YYC\n- Travel distances (in kilometers) between each pair of airports:\nMMU to AUA: 4156\nMMU to YYC: 3530\nMMU to MAN: 7070\nMMU to VUP: 5501\nMMU to RGS: 8462\nMMU to NDB: 8272\nMMU to SXO: 9053\nMMU to KYP: 15517\nVUP to AUA: 1622\nVUP to YYC: 7012\nVUP to MAN: 9090\nVUP to RGS: 9642\nVUP to NDB: 8194\nVUP to SXO: 6387\nVUP to KYP: 18579\nAUA to YYC: 5834\nAUA to MAN: 7737\nAUA to RGS: 8264\nAUA to NDB: 6917\nAUA to SXO: 5110\nAUA to KYP: 16971\nRGS to YYC: 8641\nRGS to MAN: 1865\nRGS to NDB: 3456\nRGS to SXO: 9491\nRGS to KYP: 9995\nSXO to YYC: 10655\nSXO to MAN: 9824\nSXO to NDB: 6564\nSXO to KYP: 18224\nMAN to YYC: 6776\nMAN to NDB: 3820\nMAN to KYP: 9547\nNDB to YYC: 9526\nNDB to KYP: 12353\nKYP to YYC: 12813\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 49940, "style": "rule" }
{ "exact_answer": 49940, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"MMU\", \"id\": 0}, {\"name\": \"VUP\", \"id\": 1}, {\"name\": \"AUA\", \"id\": 2}, {\"name\": \"RGS\", \"id\": 3}, {\"name\": \"SXO\", \"id\": 4}, {\"name\": \"MAN\", \"id\": 5}, {\"name\": \"NDB\", \"id\": 6}, {\"name\": \"KYP\", \"id\": 7}, {\"name\": \"YYC\", \"id\": 8}], \"links\": [{\"weight\": 4156, \"source\": 0, \"target\": 2}, {\"weight\": 3530, \"source\": 0, \"target\": 8}, {\"weight\": 7070, \"source\": 0, \"target\": 5}, {\"weight\": 5501, \"source\": 0, \"target\": 1}, {\"weight\": 8462, \"source\": 0, \"target\": 3}, {\"weight\": 8272, \"source\": 0, \"target\": 6}, {\"weight\": 9053, \"source\": 0, \"target\": 4}, {\"weight\": 15517, \"source\": 0, \"target\": 7}, {\"weight\": 1622, \"source\": 1, \"target\": 2}, {\"weight\": 7012, \"source\": 1, \"target\": 8}, {\"weight\": 9090, \"source\": 1, \"target\": 5}, {\"weight\": 9642, \"source\": 1, \"target\": 3}, {\"weight\": 8194, \"source\": 1, \"target\": 6}, {\"weight\": 6387, \"source\": 1, \"target\": 4}, {\"weight\": 18579, \"source\": 1, \"target\": 7}, {\"weight\": 5834, \"source\": 2, \"target\": 8}, {\"weight\": 7737, \"source\": 2, \"target\": 5}, {\"weight\": 8264, \"source\": 2, \"target\": 3}, {\"weight\": 6917, \"source\": 2, \"target\": 6}, {\"weight\": 5110, \"source\": 2, \"target\": 4}, {\"weight\": 16971, \"source\": 2, \"target\": 7}, {\"weight\": 8641, \"source\": 3, \"target\": 8}, {\"weight\": 1865, \"source\": 3, \"target\": 5}, {\"weight\": 3456, \"source\": 3, \"target\": 6}, {\"weight\": 9491, \"source\": 3, \"target\": 4}, {\"weight\": 9995, \"source\": 3, \"target\": 7}, {\"weight\": 10655, \"source\": 4, \"target\": 8}, {\"weight\": 9824, \"source\": 4, \"target\": 5}, {\"weight\": 6564, \"source\": 4, \"target\": 6}, {\"weight\": 18224, \"source\": 4, \"target\": 7}, {\"weight\": 6776, \"source\": 5, \"target\": 8}, {\"weight\": 3820, \"source\": 5, \"target\": 6}, {\"weight\": 9547, \"source\": 5, \"target\": 7}, {\"weight\": 9526, \"source\": 6, \"target\": 8}, {\"weight\": 12353, \"source\": 6, \"target\": 7}, {\"weight\": 12813, \"source\": 7, \"target\": 8}]}", "id": 684, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: MMU, VUP, AUA, RGS, SXO, MAN, NDB, KYP, YYC\n- Travel distances (in kilometers) between each pair of airports:\nMMU to AUA: 4156\nMMU to YYC: 3530\nMMU to MAN: 7070\nMMU to VUP: 5501\nMMU to RGS: 8462\nMMU to NDB: 8272\nMMU to SXO: 9053\nMMU to KYP: 15517\nVUP to AUA: 1622\nVUP to YYC: 7012\nVUP to MAN: 9090\nVUP to RGS: 9642\nVUP to NDB: 8194\nVUP to SXO: 6387\nVUP to KYP: 18579\nAUA to YYC: 5834\nAUA to MAN: 7737\nAUA to RGS: 8264\nAUA to NDB: 6917\nAUA to SXO: 5110\nAUA to KYP: 16971\nRGS to YYC: 8641\nRGS to MAN: 1865\nRGS to NDB: 3456\nRGS to SXO: 9491\nRGS to KYP: 9995\nSXO to YYC: 10655\nSXO to MAN: 9824\nSXO to NDB: 6564\nSXO to KYP: 18224\nMAN to YYC: 6776\nMAN to NDB: 3820\nMAN to KYP: 9547\nNDB to YYC: 9526\nNDB to KYP: 12353\nKYP to YYC: 12813\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TVU, JNG, HIN, ANS, GGG, ZGS, SGF, WSZ, LPL\n- Travel distances (in kilometers) between each pair of airports:\nTVU to GGG: 11407\nTVU to SGF: 11520\nTVU to LPL: 17253\nTVU to JNG: 9513\nTVU to HIN: 9105\nTVU to WSZ: 3115\nTVU to ZGS: 14335\nTVU to ANS: 14925\nJNG to GGG: 11985\nJNG to SGF: 11752\nJNG to LPL: 8695\nJNG to HIN: 1592\nJNG to WSZ: 10876\nJNG to ZGS: 12757\nJNG to ANS: 17578\nHIN to GGG: 11878\nHIN to SGF: 11677\nHIN to LPL: 9386\nHIN to WSZ: 10729\nHIN to ZGS: 12947\nHIN to ANS: 17443\nANS to GGG: 6097\nANS to SGF: 6458\nANS to LPL: 11059\nANS to WSZ: 13314\nANS to ZGS: 7964\nGGG to SGF: 811\nGGG to LPL: 7637\nGGG to WSZ: 13446\nGGG to ZGS: 3817\nZGS to SGF: 3051\nZGS to LPL: 5110\nZGS to WSZ: 16374\nSGF to LPL: 6827\nSGF to WSZ: 13559\nWSZ to LPL: 19285\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 50890, "style": "rule" }
{ "exact_answer": 50890, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"TVU\", \"id\": 0}, {\"name\": \"JNG\", \"id\": 1}, {\"name\": \"HIN\", \"id\": 2}, {\"name\": \"ANS\", \"id\": 3}, {\"name\": \"GGG\", \"id\": 4}, {\"name\": \"ZGS\", \"id\": 5}, {\"name\": \"SGF\", \"id\": 6}, {\"name\": \"WSZ\", \"id\": 7}, {\"name\": \"LPL\", \"id\": 8}], \"links\": [{\"weight\": 11407, \"source\": 0, \"target\": 4}, {\"weight\": 11520, \"source\": 0, \"target\": 6}, {\"weight\": 17253, \"source\": 0, \"target\": 8}, {\"weight\": 9513, \"source\": 0, \"target\": 1}, {\"weight\": 9105, \"source\": 0, \"target\": 2}, {\"weight\": 3115, \"source\": 0, \"target\": 7}, {\"weight\": 14335, \"source\": 0, \"target\": 5}, {\"weight\": 14925, \"source\": 0, \"target\": 3}, {\"weight\": 11985, \"source\": 1, \"target\": 4}, {\"weight\": 11752, \"source\": 1, \"target\": 6}, {\"weight\": 8695, \"source\": 1, \"target\": 8}, {\"weight\": 1592, \"source\": 1, \"target\": 2}, {\"weight\": 10876, \"source\": 1, \"target\": 7}, {\"weight\": 12757, \"source\": 1, \"target\": 5}, {\"weight\": 17578, \"source\": 1, \"target\": 3}, {\"weight\": 11878, \"source\": 2, \"target\": 4}, {\"weight\": 11677, \"source\": 2, \"target\": 6}, {\"weight\": 9386, \"source\": 2, \"target\": 8}, {\"weight\": 10729, \"source\": 2, \"target\": 7}, {\"weight\": 12947, \"source\": 2, \"target\": 5}, {\"weight\": 17443, \"source\": 2, \"target\": 3}, {\"weight\": 6097, \"source\": 3, \"target\": 4}, {\"weight\": 6458, \"source\": 3, \"target\": 6}, {\"weight\": 11059, \"source\": 3, \"target\": 8}, {\"weight\": 13314, \"source\": 3, \"target\": 7}, {\"weight\": 7964, \"source\": 3, \"target\": 5}, {\"weight\": 811, \"source\": 4, \"target\": 6}, {\"weight\": 7637, \"source\": 4, \"target\": 8}, {\"weight\": 13446, \"source\": 4, \"target\": 7}, {\"weight\": 3817, \"source\": 4, \"target\": 5}, {\"weight\": 3051, \"source\": 5, \"target\": 6}, {\"weight\": 5110, \"source\": 5, \"target\": 8}, {\"weight\": 16374, \"source\": 5, \"target\": 7}, {\"weight\": 6827, \"source\": 6, \"target\": 8}, {\"weight\": 13559, \"source\": 6, \"target\": 7}, {\"weight\": 19285, \"source\": 7, \"target\": 8}]}", "id": 685, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TVU, JNG, HIN, ANS, GGG, ZGS, SGF, WSZ, LPL\n- Travel distances (in kilometers) between each pair of airports:\nTVU to GGG: 11407\nTVU to SGF: 11520\nTVU to LPL: 17253\nTVU to JNG: 9513\nTVU to HIN: 9105\nTVU to WSZ: 3115\nTVU to ZGS: 14335\nTVU to ANS: 14925\nJNG to GGG: 11985\nJNG to SGF: 11752\nJNG to LPL: 8695\nJNG to HIN: 1592\nJNG to WSZ: 10876\nJNG to ZGS: 12757\nJNG to ANS: 17578\nHIN to GGG: 11878\nHIN to SGF: 11677\nHIN to LPL: 9386\nHIN to WSZ: 10729\nHIN to ZGS: 12947\nHIN to ANS: 17443\nANS to GGG: 6097\nANS to SGF: 6458\nANS to LPL: 11059\nANS to WSZ: 13314\nANS to ZGS: 7964\nGGG to SGF: 811\nGGG to LPL: 7637\nGGG to WSZ: 13446\nGGG to ZGS: 3817\nZGS to SGF: 3051\nZGS to LPL: 5110\nZGS to WSZ: 16374\nSGF to LPL: 6827\nSGF to WSZ: 13559\nWSZ to LPL: 19285\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: GLK, MGA, GET, YDP, ISC, SSY, TFN, VKG, ARN\n- Travel distances (in kilometers) between each pair of airports:\nGLK to ARN: 6962\nGLK to MGA: 15698\nGLK to TFN: 8179\nGLK to SSY: 4536\nGLK to ISC: 7518\nGLK to GET: 10827\nGLK to YDP: 12090\nGLK to VKG: 8265\nMGA to ARN: 9634\nMGA to TFN: 7803\nMGA to SSY: 12618\nMGA to ISC: 9047\nMGA to GET: 19583\nMGA to YDP: 5654\nMGA to VKG: 17298\nGET to ARN: 13903\nGET to TFN: 16426\nGET to SSY: 11476\nGET to ISC: 15337\nGET to YDP: 19821\nGET to VKG: 5475\nYDP to ARN: 6377\nYDP to TFN: 7481\nYDP to SSY: 12060\nYDP to ISC: 5640\nYDP to VKG: 15337\nISC to ARN: 1897\nISC to TFN: 3218\nISC to SSY: 7505\nISC to VKG: 10869\nSSY to ARN: 8093\nSSY to TFN: 6299\nSSY to VKG: 11194\nTFN to ARN: 4332\nTFN to VKG: 12716\nVKG to ARN: 9098\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 57229, "style": "rule" }
{ "exact_answer": 57229, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"GLK\", \"id\": 0}, {\"name\": \"MGA\", \"id\": 1}, {\"name\": \"GET\", \"id\": 2}, {\"name\": \"YDP\", \"id\": 3}, {\"name\": \"ISC\", \"id\": 4}, {\"name\": \"SSY\", \"id\": 5}, {\"name\": \"TFN\", \"id\": 6}, {\"name\": \"VKG\", \"id\": 7}, {\"name\": \"ARN\", \"id\": 8}], \"links\": [{\"weight\": 6962, \"source\": 0, \"target\": 8}, {\"weight\": 15698, \"source\": 0, \"target\": 1}, {\"weight\": 8179, \"source\": 0, \"target\": 6}, {\"weight\": 4536, \"source\": 0, \"target\": 5}, {\"weight\": 7518, \"source\": 0, \"target\": 4}, {\"weight\": 10827, \"source\": 0, \"target\": 2}, {\"weight\": 12090, \"source\": 0, \"target\": 3}, {\"weight\": 8265, \"source\": 0, \"target\": 7}, {\"weight\": 9634, \"source\": 1, \"target\": 8}, {\"weight\": 7803, \"source\": 1, \"target\": 6}, {\"weight\": 12618, \"source\": 1, \"target\": 5}, {\"weight\": 9047, \"source\": 1, \"target\": 4}, {\"weight\": 19583, \"source\": 1, \"target\": 2}, {\"weight\": 5654, \"source\": 1, \"target\": 3}, {\"weight\": 17298, \"source\": 1, \"target\": 7}, {\"weight\": 13903, \"source\": 2, \"target\": 8}, {\"weight\": 16426, \"source\": 2, \"target\": 6}, {\"weight\": 11476, \"source\": 2, \"target\": 5}, {\"weight\": 15337, \"source\": 2, \"target\": 4}, {\"weight\": 19821, \"source\": 2, \"target\": 3}, {\"weight\": 5475, \"source\": 2, \"target\": 7}, {\"weight\": 6377, \"source\": 3, \"target\": 8}, {\"weight\": 7481, \"source\": 3, \"target\": 6}, {\"weight\": 12060, \"source\": 3, \"target\": 5}, {\"weight\": 5640, \"source\": 3, \"target\": 4}, {\"weight\": 15337, \"source\": 3, \"target\": 7}, {\"weight\": 1897, \"source\": 4, \"target\": 8}, {\"weight\": 3218, \"source\": 4, \"target\": 6}, {\"weight\": 7505, \"source\": 4, \"target\": 5}, {\"weight\": 10869, \"source\": 4, \"target\": 7}, {\"weight\": 8093, \"source\": 5, \"target\": 8}, {\"weight\": 6299, \"source\": 5, \"target\": 6}, {\"weight\": 11194, \"source\": 5, \"target\": 7}, {\"weight\": 4332, \"source\": 6, \"target\": 8}, {\"weight\": 12716, \"source\": 6, \"target\": 7}, {\"weight\": 9098, \"source\": 7, \"target\": 8}]}", "id": 686, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: GLK, MGA, GET, YDP, ISC, SSY, TFN, VKG, ARN\n- Travel distances (in kilometers) between each pair of airports:\nGLK to ARN: 6962\nGLK to MGA: 15698\nGLK to TFN: 8179\nGLK to SSY: 4536\nGLK to ISC: 7518\nGLK to GET: 10827\nGLK to YDP: 12090\nGLK to VKG: 8265\nMGA to ARN: 9634\nMGA to TFN: 7803\nMGA to SSY: 12618\nMGA to ISC: 9047\nMGA to GET: 19583\nMGA to YDP: 5654\nMGA to VKG: 17298\nGET to ARN: 13903\nGET to TFN: 16426\nGET to SSY: 11476\nGET to ISC: 15337\nGET to YDP: 19821\nGET to VKG: 5475\nYDP to ARN: 6377\nYDP to TFN: 7481\nYDP to SSY: 12060\nYDP to ISC: 5640\nYDP to VKG: 15337\nISC to ARN: 1897\nISC to TFN: 3218\nISC to SSY: 7505\nISC to VKG: 10869\nSSY to ARN: 8093\nSSY to TFN: 6299\nSSY to VKG: 11194\nTFN to ARN: 4332\nTFN to VKG: 12716\nVKG to ARN: 9098\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SPU, WAA, OVB, AJF, SGD, YOL, LUV, QUO, KMJ\n- Travel distances (in kilometers) between each pair of airports:\nSPU to OVB: 4875\nSPU to SGD: 1562\nSPU to WAA: 12490\nSPU to LUV: 13203\nSPU to KMJ: 9312\nSPU to AJF: 4124\nSPU to YOL: 5240\nSPU to QUO: 4935\nWAA to OVB: 15014\nWAA to SGD: 11512\nWAA to LUV: 18019\nWAA to KMJ: 11948\nWAA to AJF: 16576\nWAA to YOL: 16012\nWAA to QUO: 15712\nOVB to SGD: 4432\nOVB to LUV: 9188\nOVB to KMJ: 4548\nOVB to AJF: 5538\nOVB to YOL: 8874\nOVB to QUO: 9303\nAJF to SGD: 5463\nAJF to LUV: 10900\nAJF to KMJ: 8985\nAJF to YOL: 5162\nAJF to QUO: 5643\nSGD to LUV: 13547\nSGD to KMJ: 8771\nSGD to YOL: 6003\nSGD to QUO: 6266\nYOL to LUV: 15001\nYOL to KMJ: 13083\nYOL to QUO: 1615\nLUV to KMJ: 6526\nLUV to QUO: 15482\nQUO to KMJ: 13549\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 57986, "style": "rule" }
{ "exact_answer": 57986, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"SPU\", \"id\": 0}, {\"name\": \"WAA\", \"id\": 1}, {\"name\": \"OVB\", \"id\": 2}, {\"name\": \"AJF\", \"id\": 3}, {\"name\": \"SGD\", \"id\": 4}, {\"name\": \"YOL\", \"id\": 5}, {\"name\": \"LUV\", \"id\": 6}, {\"name\": \"QUO\", \"id\": 7}, {\"name\": \"KMJ\", \"id\": 8}], \"links\": [{\"weight\": 4875, \"source\": 0, \"target\": 2}, {\"weight\": 1562, \"source\": 0, \"target\": 4}, {\"weight\": 12490, \"source\": 0, \"target\": 1}, {\"weight\": 13203, \"source\": 0, \"target\": 6}, {\"weight\": 9312, \"source\": 0, \"target\": 8}, {\"weight\": 4124, \"source\": 0, \"target\": 3}, {\"weight\": 5240, \"source\": 0, \"target\": 5}, {\"weight\": 4935, \"source\": 0, \"target\": 7}, {\"weight\": 15014, \"source\": 1, \"target\": 2}, {\"weight\": 11512, \"source\": 1, \"target\": 4}, {\"weight\": 18019, \"source\": 1, \"target\": 6}, {\"weight\": 11948, \"source\": 1, \"target\": 8}, {\"weight\": 16576, \"source\": 1, \"target\": 3}, {\"weight\": 16012, \"source\": 1, \"target\": 5}, {\"weight\": 15712, \"source\": 1, \"target\": 7}, {\"weight\": 4432, \"source\": 2, \"target\": 4}, {\"weight\": 9188, \"source\": 2, \"target\": 6}, {\"weight\": 4548, \"source\": 2, \"target\": 8}, {\"weight\": 5538, \"source\": 2, \"target\": 3}, {\"weight\": 8874, \"source\": 2, \"target\": 5}, {\"weight\": 9303, \"source\": 2, \"target\": 7}, {\"weight\": 5463, \"source\": 3, \"target\": 4}, {\"weight\": 10900, \"source\": 3, \"target\": 6}, {\"weight\": 8985, \"source\": 3, \"target\": 8}, {\"weight\": 5162, \"source\": 3, \"target\": 5}, {\"weight\": 5643, \"source\": 3, \"target\": 7}, {\"weight\": 13547, \"source\": 4, \"target\": 6}, {\"weight\": 8771, \"source\": 4, \"target\": 8}, {\"weight\": 6003, \"source\": 4, \"target\": 5}, {\"weight\": 6266, \"source\": 4, \"target\": 7}, {\"weight\": 15001, \"source\": 5, \"target\": 6}, {\"weight\": 13083, \"source\": 5, \"target\": 8}, {\"weight\": 1615, \"source\": 5, \"target\": 7}, {\"weight\": 6526, \"source\": 6, \"target\": 8}, {\"weight\": 15482, \"source\": 6, \"target\": 7}, {\"weight\": 13549, \"source\": 7, \"target\": 8}]}", "id": 687, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SPU, WAA, OVB, AJF, SGD, YOL, LUV, QUO, KMJ\n- Travel distances (in kilometers) between each pair of airports:\nSPU to OVB: 4875\nSPU to SGD: 1562\nSPU to WAA: 12490\nSPU to LUV: 13203\nSPU to KMJ: 9312\nSPU to AJF: 4124\nSPU to YOL: 5240\nSPU to QUO: 4935\nWAA to OVB: 15014\nWAA to SGD: 11512\nWAA to LUV: 18019\nWAA to KMJ: 11948\nWAA to AJF: 16576\nWAA to YOL: 16012\nWAA to QUO: 15712\nOVB to SGD: 4432\nOVB to LUV: 9188\nOVB to KMJ: 4548\nOVB to AJF: 5538\nOVB to YOL: 8874\nOVB to QUO: 9303\nAJF to SGD: 5463\nAJF to LUV: 10900\nAJF to KMJ: 8985\nAJF to YOL: 5162\nAJF to QUO: 5643\nSGD to LUV: 13547\nSGD to KMJ: 8771\nSGD to YOL: 6003\nSGD to QUO: 6266\nYOL to LUV: 15001\nYOL to KMJ: 13083\nYOL to QUO: 1615\nLUV to KMJ: 6526\nLUV to QUO: 15482\nQUO to KMJ: 13549\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SHP, DUD, WJU, FAT, PMI, MAN, GVR, EWN, LSY\n- Travel distances (in kilometers) between each pair of airports:\nSHP to PMI: 9540\nSHP to MAN: 8737\nSHP to EWN: 12436\nSHP to FAT: 9989\nSHP to GVR: 17993\nSHP to DUD: 10930\nSHP to WJU: 1397\nSHP to LSY: 9465\nDUD to PMI: 19546\nDUD to MAN: 19117\nDUD to EWN: 15313\nDUD to FAT: 11823\nDUD to GVR: 14035\nDUD to WJU: 10806\nDUD to LSY: 3056\nWJU to PMI: 10508\nWJU to MAN: 9705\nWJU to EWN: 12709\nWJU to FAT: 10214\nWJU to GVR: 18961\nWJU to LSY: 9409\nFAT to PMI: 10017\nFAT to MAN: 8581\nFAT to EWN: 3844\nFAT to GVR: 10577\nFAT to LSY: 12804\nPMI to MAN: 1581\nPMI to EWN: 7530\nPMI to GVR: 8671\nPMI to LSY: 17793\nMAN to EWN: 6585\nMAN to GVR: 9425\nMAN to LSY: 17615\nGVR to EWN: 8239\nGVR to LSY: 15262\nEWN to LSY: 16266\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 56757, "style": "rule" }
{ "exact_answer": 56757, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"SHP\", \"id\": 0}, {\"name\": \"DUD\", \"id\": 1}, {\"name\": \"WJU\", \"id\": 2}, {\"name\": \"FAT\", \"id\": 3}, {\"name\": \"PMI\", \"id\": 4}, {\"name\": \"MAN\", \"id\": 5}, {\"name\": \"GVR\", \"id\": 6}, {\"name\": \"EWN\", \"id\": 7}, {\"name\": \"LSY\", \"id\": 8}], \"links\": [{\"weight\": 9540, \"source\": 0, \"target\": 4}, {\"weight\": 8737, \"source\": 0, \"target\": 5}, {\"weight\": 12436, \"source\": 0, \"target\": 7}, {\"weight\": 9989, \"source\": 0, \"target\": 3}, {\"weight\": 17993, \"source\": 0, \"target\": 6}, {\"weight\": 10930, \"source\": 0, \"target\": 1}, {\"weight\": 1397, \"source\": 0, \"target\": 2}, {\"weight\": 9465, \"source\": 0, \"target\": 8}, {\"weight\": 19546, \"source\": 1, \"target\": 4}, {\"weight\": 19117, \"source\": 1, \"target\": 5}, {\"weight\": 15313, \"source\": 1, \"target\": 7}, {\"weight\": 11823, \"source\": 1, \"target\": 3}, {\"weight\": 14035, \"source\": 1, \"target\": 6}, {\"weight\": 10806, \"source\": 1, \"target\": 2}, {\"weight\": 3056, \"source\": 1, \"target\": 8}, {\"weight\": 10508, \"source\": 2, \"target\": 4}, {\"weight\": 9705, \"source\": 2, \"target\": 5}, {\"weight\": 12709, \"source\": 2, \"target\": 7}, {\"weight\": 10214, \"source\": 2, \"target\": 3}, {\"weight\": 18961, \"source\": 2, \"target\": 6}, {\"weight\": 9409, \"source\": 2, \"target\": 8}, {\"weight\": 10017, \"source\": 3, \"target\": 4}, {\"weight\": 8581, \"source\": 3, \"target\": 5}, {\"weight\": 3844, \"source\": 3, \"target\": 7}, {\"weight\": 10577, \"source\": 3, \"target\": 6}, {\"weight\": 12804, \"source\": 3, \"target\": 8}, {\"weight\": 1581, \"source\": 4, \"target\": 5}, {\"weight\": 7530, \"source\": 4, \"target\": 7}, {\"weight\": 8671, \"source\": 4, \"target\": 6}, {\"weight\": 17793, \"source\": 4, \"target\": 8}, {\"weight\": 6585, \"source\": 5, \"target\": 7}, {\"weight\": 9425, \"source\": 5, \"target\": 6}, {\"weight\": 17615, \"source\": 5, \"target\": 8}, {\"weight\": 8239, \"source\": 6, \"target\": 7}, {\"weight\": 15262, \"source\": 6, \"target\": 8}, {\"weight\": 16266, \"source\": 7, \"target\": 8}]}", "id": 688, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SHP, DUD, WJU, FAT, PMI, MAN, GVR, EWN, LSY\n- Travel distances (in kilometers) between each pair of airports:\nSHP to PMI: 9540\nSHP to MAN: 8737\nSHP to EWN: 12436\nSHP to FAT: 9989\nSHP to GVR: 17993\nSHP to DUD: 10930\nSHP to WJU: 1397\nSHP to LSY: 9465\nDUD to PMI: 19546\nDUD to MAN: 19117\nDUD to EWN: 15313\nDUD to FAT: 11823\nDUD to GVR: 14035\nDUD to WJU: 10806\nDUD to LSY: 3056\nWJU to PMI: 10508\nWJU to MAN: 9705\nWJU to EWN: 12709\nWJU to FAT: 10214\nWJU to GVR: 18961\nWJU to LSY: 9409\nFAT to PMI: 10017\nFAT to MAN: 8581\nFAT to EWN: 3844\nFAT to GVR: 10577\nFAT to LSY: 12804\nPMI to MAN: 1581\nPMI to EWN: 7530\nPMI to GVR: 8671\nPMI to LSY: 17793\nMAN to EWN: 6585\nMAN to GVR: 9425\nMAN to LSY: 17615\nGVR to EWN: 8239\nGVR to LSY: 15262\nEWN to LSY: 16266\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BFF, YCG, TMR, SLI, BNK, PRN, LUV, CFN, ORY\n- Travel distances (in kilometers) between each pair of airports:\nBFF to PRN: 9592\nBFF to ORY: 8104\nBFF to YCG: 2012\nBFF to TMR: 10627\nBFF to CFN: 7576\nBFF to LUV: 16567\nBFF to BNK: 14242\nBFF to SLI: 15126\nYCG to PRN: 9117\nYCG to ORY: 7707\nYCG to TMR: 10560\nYCG to CFN: 7064\nYCG to LUV: 14940\nYCG to BNK: 13391\nYCG to SLI: 15769\nTMR to PRN: 3678\nTMR to ORY: 2897\nTMR to CFN: 3781\nTMR to LUV: 15632\nTMR to BNK: 19150\nTMR to SLI: 8739\nSLI to PRN: 7283\nSLI to ORY: 8520\nSLI to CFN: 9092\nSLI to LUV: 13088\nSLI to BNK: 13253\nBNK to PRN: 16238\nBNK to ORY: 17593\nBNK to CFN: 18060\nBNK to LUV: 7383\nPRN to ORY: 1644\nPRN to CFN: 2564\nPRN to LUV: 12720\nLUV to ORY: 14160\nLUV to CFN: 14781\nCFN to ORY: 1022\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 58330, "style": "rule" }
{ "exact_answer": 58330, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"BFF\", \"id\": 0}, {\"name\": \"YCG\", \"id\": 1}, {\"name\": \"TMR\", \"id\": 2}, {\"name\": \"SLI\", \"id\": 3}, {\"name\": \"BNK\", \"id\": 4}, {\"name\": \"PRN\", \"id\": 5}, {\"name\": \"LUV\", \"id\": 6}, {\"name\": \"CFN\", \"id\": 7}, {\"name\": \"ORY\", \"id\": 8}], \"links\": [{\"weight\": 9592, \"source\": 0, \"target\": 5}, {\"weight\": 8104, \"source\": 0, \"target\": 8}, {\"weight\": 2012, \"source\": 0, \"target\": 1}, {\"weight\": 10627, \"source\": 0, \"target\": 2}, {\"weight\": 7576, \"source\": 0, \"target\": 7}, {\"weight\": 16567, \"source\": 0, \"target\": 6}, {\"weight\": 14242, \"source\": 0, \"target\": 4}, {\"weight\": 15126, \"source\": 0, \"target\": 3}, {\"weight\": 9117, \"source\": 1, \"target\": 5}, {\"weight\": 7707, \"source\": 1, \"target\": 8}, {\"weight\": 10560, \"source\": 1, \"target\": 2}, {\"weight\": 7064, \"source\": 1, \"target\": 7}, {\"weight\": 14940, \"source\": 1, \"target\": 6}, {\"weight\": 13391, \"source\": 1, \"target\": 4}, {\"weight\": 15769, \"source\": 1, \"target\": 3}, {\"weight\": 3678, \"source\": 2, \"target\": 5}, {\"weight\": 2897, \"source\": 2, \"target\": 8}, {\"weight\": 3781, \"source\": 2, \"target\": 7}, {\"weight\": 15632, \"source\": 2, \"target\": 6}, {\"weight\": 19150, \"source\": 2, \"target\": 4}, {\"weight\": 8739, \"source\": 2, \"target\": 3}, {\"weight\": 7283, \"source\": 3, \"target\": 5}, {\"weight\": 8520, \"source\": 3, \"target\": 8}, {\"weight\": 9092, \"source\": 3, \"target\": 7}, {\"weight\": 13088, \"source\": 3, \"target\": 6}, {\"weight\": 13253, \"source\": 3, \"target\": 4}, {\"weight\": 16238, \"source\": 4, \"target\": 5}, {\"weight\": 17593, \"source\": 4, \"target\": 8}, {\"weight\": 18060, \"source\": 4, \"target\": 7}, {\"weight\": 7383, \"source\": 4, \"target\": 6}, {\"weight\": 1644, \"source\": 5, \"target\": 8}, {\"weight\": 2564, \"source\": 5, \"target\": 7}, {\"weight\": 12720, \"source\": 5, \"target\": 6}, {\"weight\": 14160, \"source\": 6, \"target\": 8}, {\"weight\": 14781, \"source\": 6, \"target\": 7}, {\"weight\": 1022, \"source\": 7, \"target\": 8}]}", "id": 689, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BFF, YCG, TMR, SLI, BNK, PRN, LUV, CFN, ORY\n- Travel distances (in kilometers) between each pair of airports:\nBFF to PRN: 9592\nBFF to ORY: 8104\nBFF to YCG: 2012\nBFF to TMR: 10627\nBFF to CFN: 7576\nBFF to LUV: 16567\nBFF to BNK: 14242\nBFF to SLI: 15126\nYCG to PRN: 9117\nYCG to ORY: 7707\nYCG to TMR: 10560\nYCG to CFN: 7064\nYCG to LUV: 14940\nYCG to BNK: 13391\nYCG to SLI: 15769\nTMR to PRN: 3678\nTMR to ORY: 2897\nTMR to CFN: 3781\nTMR to LUV: 15632\nTMR to BNK: 19150\nTMR to SLI: 8739\nSLI to PRN: 7283\nSLI to ORY: 8520\nSLI to CFN: 9092\nSLI to LUV: 13088\nSLI to BNK: 13253\nBNK to PRN: 16238\nBNK to ORY: 17593\nBNK to CFN: 18060\nBNK to LUV: 7383\nPRN to ORY: 1644\nPRN to CFN: 2564\nPRN to LUV: 12720\nLUV to ORY: 14160\nLUV to CFN: 14781\nCFN to ORY: 1022\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: REU, CRP, BET, NRT, GMR, JNS, KSE, LPB, CHQ\n- Travel distances (in kilometers) between each pair of airports:\nREU to BET: 11768\nREU to NRT: 10568\nREU to CHQ: 2307\nREU to LPB: 10234\nREU to KSE: 6852\nREU to CRP: 9116\nREU to JNS: 4899\nREU to GMR: 18190\nCRP to BET: 6010\nCRP to NRT: 10800\nCRP to CHQ: 10717\nCRP to LPB: 6356\nCRP to KSE: 14515\nCRP to JNS: 8459\nCRP to GMR: 10661\nBET to NRT: 10619\nBET to CHQ: 13205\nBET to LPB: 11915\nBET to KSE: 17421\nBET to JNS: 10681\nBET to GMR: 11181\nNRT to CHQ: 9801\nNRT to LPB: 16557\nNRT to KSE: 11937\nNRT to JNS: 12179\nNRT to GMR: 11096\nGMR to CHQ: 19627\nGMR to LPB: 11576\nGMR to KSE: 20820\nGMR to JNS: 17277\nJNS to CHQ: 6346\nJNS to LPB: 12493\nJNS to KSE: 10553\nKSE to CHQ: 4981\nKSE to LPB: 11754\nLPB to CHQ: 12044\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 69843, "style": "rule" }
{ "exact_answer": 69843, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"REU\", \"id\": 0}, {\"name\": \"CRP\", \"id\": 1}, {\"name\": \"BET\", \"id\": 2}, {\"name\": \"NRT\", \"id\": 3}, {\"name\": \"GMR\", \"id\": 4}, {\"name\": \"JNS\", \"id\": 5}, {\"name\": \"KSE\", \"id\": 6}, {\"name\": \"LPB\", \"id\": 7}, {\"name\": \"CHQ\", \"id\": 8}], \"links\": [{\"weight\": 11768, \"source\": 0, \"target\": 2}, {\"weight\": 10568, \"source\": 0, \"target\": 3}, {\"weight\": 2307, \"source\": 0, \"target\": 8}, {\"weight\": 10234, \"source\": 0, \"target\": 7}, {\"weight\": 6852, \"source\": 0, \"target\": 6}, {\"weight\": 9116, \"source\": 0, \"target\": 1}, {\"weight\": 4899, \"source\": 0, \"target\": 5}, {\"weight\": 18190, \"source\": 0, \"target\": 4}, {\"weight\": 6010, \"source\": 1, \"target\": 2}, {\"weight\": 10800, \"source\": 1, \"target\": 3}, {\"weight\": 10717, \"source\": 1, \"target\": 8}, {\"weight\": 6356, \"source\": 1, \"target\": 7}, {\"weight\": 14515, \"source\": 1, \"target\": 6}, {\"weight\": 8459, \"source\": 1, \"target\": 5}, {\"weight\": 10661, \"source\": 1, \"target\": 4}, {\"weight\": 10619, \"source\": 2, \"target\": 3}, {\"weight\": 13205, \"source\": 2, \"target\": 8}, {\"weight\": 11915, \"source\": 2, \"target\": 7}, {\"weight\": 17421, \"source\": 2, \"target\": 6}, {\"weight\": 10681, \"source\": 2, \"target\": 5}, {\"weight\": 11181, \"source\": 2, \"target\": 4}, {\"weight\": 9801, \"source\": 3, \"target\": 8}, {\"weight\": 16557, \"source\": 3, \"target\": 7}, {\"weight\": 11937, \"source\": 3, \"target\": 6}, {\"weight\": 12179, \"source\": 3, \"target\": 5}, {\"weight\": 11096, \"source\": 3, \"target\": 4}, {\"weight\": 19627, \"source\": 4, \"target\": 8}, {\"weight\": 11576, \"source\": 4, \"target\": 7}, {\"weight\": 20820, \"source\": 4, \"target\": 6}, {\"weight\": 17277, \"source\": 4, \"target\": 5}, {\"weight\": 6346, \"source\": 5, \"target\": 8}, {\"weight\": 12493, \"source\": 5, \"target\": 7}, {\"weight\": 10553, \"source\": 5, \"target\": 6}, {\"weight\": 4981, \"source\": 6, \"target\": 8}, {\"weight\": 11754, \"source\": 6, \"target\": 7}, {\"weight\": 12044, \"source\": 7, \"target\": 8}]}", "id": 690, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: REU, CRP, BET, NRT, GMR, JNS, KSE, LPB, CHQ\n- Travel distances (in kilometers) between each pair of airports:\nREU to BET: 11768\nREU to NRT: 10568\nREU to CHQ: 2307\nREU to LPB: 10234\nREU to KSE: 6852\nREU to CRP: 9116\nREU to JNS: 4899\nREU to GMR: 18190\nCRP to BET: 6010\nCRP to NRT: 10800\nCRP to CHQ: 10717\nCRP to LPB: 6356\nCRP to KSE: 14515\nCRP to JNS: 8459\nCRP to GMR: 10661\nBET to NRT: 10619\nBET to CHQ: 13205\nBET to LPB: 11915\nBET to KSE: 17421\nBET to JNS: 10681\nBET to GMR: 11181\nNRT to CHQ: 9801\nNRT to LPB: 16557\nNRT to KSE: 11937\nNRT to JNS: 12179\nNRT to GMR: 11096\nGMR to CHQ: 19627\nGMR to LPB: 11576\nGMR to KSE: 20820\nGMR to JNS: 17277\nJNS to CHQ: 6346\nJNS to LPB: 12493\nJNS to KSE: 10553\nKSE to CHQ: 4981\nKSE to LPB: 11754\nLPB to CHQ: 12044\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SFJ, VIN, GYD, BOD, KLR, BSO, SSG, DDG, IQQ\n- Travel distances (in kilometers) between each pair of airports:\nSFJ to GYD: 6651\nSFJ to BOD: 4277\nSFJ to BSO: 13783\nSFJ to IQQ: 12798\nSFJ to SSG: 8990\nSFJ to DDG: 11119\nSFJ to KLR: 4202\nSFJ to VIN: 8555\nVIN to GYD: 3635\nVIN to BOD: 5362\nVIN to BSO: 11524\nVIN to IQQ: 15250\nVIN to SSG: 6415\nVIN to DDG: 9777\nVIN to KLR: 5648\nGYD to BOD: 4112\nGYD to BSO: 8172\nGYD to IQQ: 14195\nGYD to SSG: 6080\nGYD to DDG: 6153\nGYD to KLR: 3425\nBOD to BSO: 11863\nBOD to IQQ: 10260\nBOD to SSG: 4801\nBOD to DDG: 9366\nBOD to KLR: 2355\nKLR to BSO: 10340\nKLR to IQQ: 12615\nKLR to SSG: 6733\nKLR to DDG: 7676\nBSO to IQQ: 19700\nBSO to SSG: 12984\nBSO to DDG: 3550\nSSG to IQQ: 9674\nSSG to DDG: 12084\nDDG to IQQ: 18516\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 57861, "style": "rule" }
{ "exact_answer": 57861, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"SFJ\", \"id\": 0}, {\"name\": \"VIN\", \"id\": 1}, {\"name\": \"GYD\", \"id\": 2}, {\"name\": \"BOD\", \"id\": 3}, {\"name\": \"KLR\", \"id\": 4}, {\"name\": \"BSO\", \"id\": 5}, {\"name\": \"SSG\", \"id\": 6}, {\"name\": \"DDG\", \"id\": 7}, {\"name\": \"IQQ\", \"id\": 8}], \"links\": [{\"weight\": 6651, \"source\": 0, \"target\": 2}, {\"weight\": 4277, \"source\": 0, \"target\": 3}, {\"weight\": 13783, \"source\": 0, \"target\": 5}, {\"weight\": 12798, \"source\": 0, \"target\": 8}, {\"weight\": 8990, \"source\": 0, \"target\": 6}, {\"weight\": 11119, \"source\": 0, \"target\": 7}, {\"weight\": 4202, \"source\": 0, \"target\": 4}, {\"weight\": 8555, \"source\": 0, \"target\": 1}, {\"weight\": 3635, \"source\": 1, \"target\": 2}, {\"weight\": 5362, \"source\": 1, \"target\": 3}, {\"weight\": 11524, \"source\": 1, \"target\": 5}, {\"weight\": 15250, \"source\": 1, \"target\": 8}, {\"weight\": 6415, \"source\": 1, \"target\": 6}, {\"weight\": 9777, \"source\": 1, \"target\": 7}, {\"weight\": 5648, \"source\": 1, \"target\": 4}, {\"weight\": 4112, \"source\": 2, \"target\": 3}, {\"weight\": 8172, \"source\": 2, \"target\": 5}, {\"weight\": 14195, \"source\": 2, \"target\": 8}, {\"weight\": 6080, \"source\": 2, \"target\": 6}, {\"weight\": 6153, \"source\": 2, \"target\": 7}, {\"weight\": 3425, \"source\": 2, \"target\": 4}, {\"weight\": 11863, \"source\": 3, \"target\": 5}, {\"weight\": 10260, \"source\": 3, \"target\": 8}, {\"weight\": 4801, \"source\": 3, \"target\": 6}, {\"weight\": 9366, \"source\": 3, \"target\": 7}, {\"weight\": 2355, \"source\": 3, \"target\": 4}, {\"weight\": 10340, \"source\": 4, \"target\": 5}, {\"weight\": 12615, \"source\": 4, \"target\": 8}, {\"weight\": 6733, \"source\": 4, \"target\": 6}, {\"weight\": 7676, \"source\": 4, \"target\": 7}, {\"weight\": 19700, \"source\": 5, \"target\": 8}, {\"weight\": 12984, \"source\": 5, \"target\": 6}, {\"weight\": 3550, \"source\": 5, \"target\": 7}, {\"weight\": 9674, \"source\": 6, \"target\": 8}, {\"weight\": 12084, \"source\": 6, \"target\": 7}, {\"weight\": 18516, \"source\": 7, \"target\": 8}]}", "id": 691, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SFJ, VIN, GYD, BOD, KLR, BSO, SSG, DDG, IQQ\n- Travel distances (in kilometers) between each pair of airports:\nSFJ to GYD: 6651\nSFJ to BOD: 4277\nSFJ to BSO: 13783\nSFJ to IQQ: 12798\nSFJ to SSG: 8990\nSFJ to DDG: 11119\nSFJ to KLR: 4202\nSFJ to VIN: 8555\nVIN to GYD: 3635\nVIN to BOD: 5362\nVIN to BSO: 11524\nVIN to IQQ: 15250\nVIN to SSG: 6415\nVIN to DDG: 9777\nVIN to KLR: 5648\nGYD to BOD: 4112\nGYD to BSO: 8172\nGYD to IQQ: 14195\nGYD to SSG: 6080\nGYD to DDG: 6153\nGYD to KLR: 3425\nBOD to BSO: 11863\nBOD to IQQ: 10260\nBOD to SSG: 4801\nBOD to DDG: 9366\nBOD to KLR: 2355\nKLR to BSO: 10340\nKLR to IQQ: 12615\nKLR to SSG: 6733\nKLR to DDG: 7676\nBSO to IQQ: 19700\nBSO to SSG: 12984\nBSO to DDG: 3550\nSSG to IQQ: 9674\nSSG to DDG: 12084\nDDG to IQQ: 18516\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TIP, UVF, PAC, COO, AXK, JEG, YYT, WKJ, TPS\n- Travel distances (in kilometers) between each pair of airports:\nTIP to COO: 4292\nTIP to PAC: 10746\nTIP to UVF: 9127\nTIP to YYT: 6080\nTIP to TPS: 662\nTIP to AXK: 4005\nTIP to JEG: 6180\nTIP to WKJ: 10596\nUVF to COO: 9101\nUVF to PAC: 3241\nUVF to YYT: 4908\nUVF to TPS: 8582\nUVF to AXK: 12682\nUVF to JEG: 9159\nUVF to WKJ: 15150\nPAC to COO: 11637\nPAC to YYT: 5850\nPAC to TPS: 10441\nPAC to AXK: 14708\nPAC to JEG: 10151\nPAC to WKJ: 14731\nCOO to YYT: 8758\nCOO to TPS: 4361\nCOO to AXK: 5006\nCOO to JEG: 8813\nCOO to WKJ: 13815\nAXK to YYT: 9632\nAXK to TPS: 4331\nAXK to JEG: 9142\nAXK to WKJ: 10126\nJEG to YYT: 7339\nJEG to TPS: 5610\nJEG to WKJ: 12397\nYYT to TPS: 5538\nYYT to WKJ: 13383\nWKJ to TPS: 10209\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 55915, "style": "rule" }
{ "exact_answer": 55915, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"TIP\", \"id\": 0}, {\"name\": \"UVF\", \"id\": 1}, {\"name\": \"PAC\", \"id\": 2}, {\"name\": \"COO\", \"id\": 3}, {\"name\": \"AXK\", \"id\": 4}, {\"name\": \"JEG\", \"id\": 5}, {\"name\": \"YYT\", \"id\": 6}, {\"name\": \"WKJ\", \"id\": 7}, {\"name\": \"TPS\", \"id\": 8}], \"links\": [{\"weight\": 4292, \"source\": 0, \"target\": 3}, {\"weight\": 10746, \"source\": 0, \"target\": 2}, {\"weight\": 9127, \"source\": 0, \"target\": 1}, {\"weight\": 6080, \"source\": 0, \"target\": 6}, {\"weight\": 662, \"source\": 0, \"target\": 8}, {\"weight\": 4005, \"source\": 0, \"target\": 4}, {\"weight\": 6180, \"source\": 0, \"target\": 5}, {\"weight\": 10596, \"source\": 0, \"target\": 7}, {\"weight\": 9101, \"source\": 1, \"target\": 3}, {\"weight\": 3241, \"source\": 1, \"target\": 2}, {\"weight\": 4908, \"source\": 1, \"target\": 6}, {\"weight\": 8582, \"source\": 1, \"target\": 8}, {\"weight\": 12682, \"source\": 1, \"target\": 4}, {\"weight\": 9159, \"source\": 1, \"target\": 5}, {\"weight\": 15150, \"source\": 1, \"target\": 7}, {\"weight\": 11637, \"source\": 2, \"target\": 3}, {\"weight\": 5850, \"source\": 2, \"target\": 6}, {\"weight\": 10441, \"source\": 2, \"target\": 8}, {\"weight\": 14708, \"source\": 2, \"target\": 4}, {\"weight\": 10151, \"source\": 2, \"target\": 5}, {\"weight\": 14731, \"source\": 2, \"target\": 7}, {\"weight\": 8758, \"source\": 3, \"target\": 6}, {\"weight\": 4361, \"source\": 3, \"target\": 8}, {\"weight\": 5006, \"source\": 3, \"target\": 4}, {\"weight\": 8813, \"source\": 3, \"target\": 5}, {\"weight\": 13815, \"source\": 3, \"target\": 7}, {\"weight\": 9632, \"source\": 4, \"target\": 6}, {\"weight\": 4331, \"source\": 4, \"target\": 8}, {\"weight\": 9142, \"source\": 4, \"target\": 5}, {\"weight\": 10126, \"source\": 4, \"target\": 7}, {\"weight\": 7339, \"source\": 5, \"target\": 6}, {\"weight\": 5610, \"source\": 5, \"target\": 8}, {\"weight\": 12397, \"source\": 5, \"target\": 7}, {\"weight\": 5538, \"source\": 6, \"target\": 8}, {\"weight\": 13383, \"source\": 6, \"target\": 7}, {\"weight\": 10209, \"source\": 7, \"target\": 8}]}", "id": 692, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TIP, UVF, PAC, COO, AXK, JEG, YYT, WKJ, TPS\n- Travel distances (in kilometers) between each pair of airports:\nTIP to COO: 4292\nTIP to PAC: 10746\nTIP to UVF: 9127\nTIP to YYT: 6080\nTIP to TPS: 662\nTIP to AXK: 4005\nTIP to JEG: 6180\nTIP to WKJ: 10596\nUVF to COO: 9101\nUVF to PAC: 3241\nUVF to YYT: 4908\nUVF to TPS: 8582\nUVF to AXK: 12682\nUVF to JEG: 9159\nUVF to WKJ: 15150\nPAC to COO: 11637\nPAC to YYT: 5850\nPAC to TPS: 10441\nPAC to AXK: 14708\nPAC to JEG: 10151\nPAC to WKJ: 14731\nCOO to YYT: 8758\nCOO to TPS: 4361\nCOO to AXK: 5006\nCOO to JEG: 8813\nCOO to WKJ: 13815\nAXK to YYT: 9632\nAXK to TPS: 4331\nAXK to JEG: 9142\nAXK to WKJ: 10126\nJEG to YYT: 7339\nJEG to TPS: 5610\nJEG to WKJ: 12397\nYYT to TPS: 5538\nYYT to WKJ: 13383\nWKJ to TPS: 10209\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PTH, TLM, STN, GLK, HDY, HOV, SDE, KWI, DJE\n- Travel distances (in kilometers) between each pair of airports:\nPTH to STN: 10707\nPTH to KWI: 15130\nPTH to DJE: 12868\nPTH to TLM: 12635\nPTH to HDY: 15757\nPTH to SDE: 15107\nPTH to GLK: 17743\nPTH to HOV: 10525\nTLM to STN: 2082\nTLM to KWI: 4678\nTLM to DJE: 1418\nTLM to HDY: 10977\nTLM to SDE: 11682\nTLM to GLK: 6735\nTLM to HOV: 3069\nSTN to KWI: 4647\nSTN to DJE: 2173\nSTN to HDY: 10270\nSTN to SDE: 12176\nSTN to GLK: 7166\nSTN to HOV: 1204\nGLK to KWI: 3124\nGLK to DJE: 5532\nGLK to HDY: 8107\nGLK to SDE: 13337\nGLK to HOV: 7576\nHDY to KWI: 6429\nHDY to DJE: 9996\nHDY to SDE: 19071\nHDY to HOV: 9768\nHOV to KWI: 4964\nHOV to DJE: 3179\nHOV to SDE: 13349\nSDE to KWI: 14360\nSDE to DJE: 12170\nKWI to DJE: 3585\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 61794, "style": "rule" }
{ "exact_answer": 61794, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"PTH\", \"id\": 0}, {\"name\": \"TLM\", \"id\": 1}, {\"name\": \"STN\", \"id\": 2}, {\"name\": \"GLK\", \"id\": 3}, {\"name\": \"HDY\", \"id\": 4}, {\"name\": \"HOV\", \"id\": 5}, {\"name\": \"SDE\", \"id\": 6}, {\"name\": \"KWI\", \"id\": 7}, {\"name\": \"DJE\", \"id\": 8}], \"links\": [{\"weight\": 10707, \"source\": 0, \"target\": 2}, {\"weight\": 15130, \"source\": 0, \"target\": 7}, {\"weight\": 12868, \"source\": 0, \"target\": 8}, {\"weight\": 12635, \"source\": 0, \"target\": 1}, {\"weight\": 15757, \"source\": 0, \"target\": 4}, {\"weight\": 15107, \"source\": 0, \"target\": 6}, {\"weight\": 17743, \"source\": 0, \"target\": 3}, {\"weight\": 10525, \"source\": 0, \"target\": 5}, {\"weight\": 2082, \"source\": 1, \"target\": 2}, {\"weight\": 4678, \"source\": 1, \"target\": 7}, {\"weight\": 1418, \"source\": 1, \"target\": 8}, {\"weight\": 10977, \"source\": 1, \"target\": 4}, {\"weight\": 11682, \"source\": 1, \"target\": 6}, {\"weight\": 6735, \"source\": 1, \"target\": 3}, {\"weight\": 3069, \"source\": 1, \"target\": 5}, {\"weight\": 4647, \"source\": 2, \"target\": 7}, {\"weight\": 2173, \"source\": 2, \"target\": 8}, {\"weight\": 10270, \"source\": 2, \"target\": 4}, {\"weight\": 12176, \"source\": 2, \"target\": 6}, {\"weight\": 7166, \"source\": 2, \"target\": 3}, {\"weight\": 1204, \"source\": 2, \"target\": 5}, {\"weight\": 3124, \"source\": 3, \"target\": 7}, {\"weight\": 5532, \"source\": 3, \"target\": 8}, {\"weight\": 8107, \"source\": 3, \"target\": 4}, {\"weight\": 13337, \"source\": 3, \"target\": 6}, {\"weight\": 7576, \"source\": 3, \"target\": 5}, {\"weight\": 6429, \"source\": 4, \"target\": 7}, {\"weight\": 9996, \"source\": 4, \"target\": 8}, {\"weight\": 19071, \"source\": 4, \"target\": 6}, {\"weight\": 9768, \"source\": 4, \"target\": 5}, {\"weight\": 4964, \"source\": 5, \"target\": 7}, {\"weight\": 3179, \"source\": 5, \"target\": 8}, {\"weight\": 13349, \"source\": 5, \"target\": 6}, {\"weight\": 14360, \"source\": 6, \"target\": 7}, {\"weight\": 12170, \"source\": 6, \"target\": 8}, {\"weight\": 3585, \"source\": 7, \"target\": 8}]}", "id": 693, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PTH, TLM, STN, GLK, HDY, HOV, SDE, KWI, DJE\n- Travel distances (in kilometers) between each pair of airports:\nPTH to STN: 10707\nPTH to KWI: 15130\nPTH to DJE: 12868\nPTH to TLM: 12635\nPTH to HDY: 15757\nPTH to SDE: 15107\nPTH to GLK: 17743\nPTH to HOV: 10525\nTLM to STN: 2082\nTLM to KWI: 4678\nTLM to DJE: 1418\nTLM to HDY: 10977\nTLM to SDE: 11682\nTLM to GLK: 6735\nTLM to HOV: 3069\nSTN to KWI: 4647\nSTN to DJE: 2173\nSTN to HDY: 10270\nSTN to SDE: 12176\nSTN to GLK: 7166\nSTN to HOV: 1204\nGLK to KWI: 3124\nGLK to DJE: 5532\nGLK to HDY: 8107\nGLK to SDE: 13337\nGLK to HOV: 7576\nHDY to KWI: 6429\nHDY to DJE: 9996\nHDY to SDE: 19071\nHDY to HOV: 9768\nHOV to KWI: 4964\nHOV to DJE: 3179\nHOV to SDE: 13349\nSDE to KWI: 14360\nSDE to DJE: 12170\nKWI to DJE: 3585\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CJS, KWA, ZBL, PBL, CAH, KBU, AGM, DSM, VPY\n- Travel distances (in kilometers) between each pair of airports:\nCJS to DSM: 2305\nCJS to AGM: 9523\nCJS to KBU: 15540\nCJS to ZBL: 13361\nCJS to VPY: 17247\nCJS to KWA: 9613\nCJS to PBL: 5019\nCJS to CAH: 14575\nKWA to DSM: 10452\nKWA to AGM: 16307\nKWA to KBU: 7899\nKWA to ZBL: 5154\nKWA to VPY: 17409\nKWA to PBL: 14237\nKWA to CAH: 7209\nZBL to DSM: 14286\nZBL to AGM: 19746\nZBL to KBU: 5876\nZBL to VPY: 13390\nZBL to PBL: 17905\nZBL to CAH: 7900\nPBL to DSM: 4469\nPBL to AGM: 10005\nPBL to KBU: 19867\nPBL to VPY: 13389\nPBL to CAH: 18161\nCAH to DSM: 14550\nCAH to AGM: 13325\nCAH to KBU: 3183\nCAH to VPY: 10856\nKBU to DSM: 15515\nKBU to AGM: 15439\nKBU to VPY: 11661\nAGM to DSM: 7474\nAGM to VPY: 14286\nDSM to VPY: 15686\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 65747, "style": "rule" }
{ "exact_answer": 65747, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"CJS\", \"id\": 0}, {\"name\": \"KWA\", \"id\": 1}, {\"name\": \"ZBL\", \"id\": 2}, {\"name\": \"PBL\", \"id\": 3}, {\"name\": \"CAH\", \"id\": 4}, {\"name\": \"KBU\", \"id\": 5}, {\"name\": \"AGM\", \"id\": 6}, {\"name\": \"DSM\", \"id\": 7}, {\"name\": \"VPY\", \"id\": 8}], \"links\": [{\"weight\": 2305, \"source\": 0, \"target\": 7}, {\"weight\": 9523, \"source\": 0, \"target\": 6}, {\"weight\": 15540, \"source\": 0, \"target\": 5}, {\"weight\": 13361, \"source\": 0, \"target\": 2}, {\"weight\": 17247, \"source\": 0, \"target\": 8}, {\"weight\": 9613, \"source\": 0, \"target\": 1}, {\"weight\": 5019, \"source\": 0, \"target\": 3}, {\"weight\": 14575, \"source\": 0, \"target\": 4}, {\"weight\": 10452, \"source\": 1, \"target\": 7}, {\"weight\": 16307, \"source\": 1, \"target\": 6}, {\"weight\": 7899, \"source\": 1, \"target\": 5}, {\"weight\": 5154, \"source\": 1, \"target\": 2}, {\"weight\": 17409, \"source\": 1, \"target\": 8}, {\"weight\": 14237, \"source\": 1, \"target\": 3}, {\"weight\": 7209, \"source\": 1, \"target\": 4}, {\"weight\": 14286, \"source\": 2, \"target\": 7}, {\"weight\": 19746, \"source\": 2, \"target\": 6}, {\"weight\": 5876, \"source\": 2, \"target\": 5}, {\"weight\": 13390, \"source\": 2, \"target\": 8}, {\"weight\": 17905, \"source\": 2, \"target\": 3}, {\"weight\": 7900, \"source\": 2, \"target\": 4}, {\"weight\": 4469, \"source\": 3, \"target\": 7}, {\"weight\": 10005, \"source\": 3, \"target\": 6}, {\"weight\": 19867, \"source\": 3, \"target\": 5}, {\"weight\": 13389, \"source\": 3, \"target\": 8}, {\"weight\": 18161, \"source\": 3, \"target\": 4}, {\"weight\": 14550, \"source\": 4, \"target\": 7}, {\"weight\": 13325, \"source\": 4, \"target\": 6}, {\"weight\": 3183, \"source\": 4, \"target\": 5}, {\"weight\": 10856, \"source\": 4, \"target\": 8}, {\"weight\": 15515, \"source\": 5, \"target\": 7}, {\"weight\": 15439, \"source\": 5, \"target\": 6}, {\"weight\": 11661, \"source\": 5, \"target\": 8}, {\"weight\": 7474, \"source\": 6, \"target\": 7}, {\"weight\": 14286, \"source\": 6, \"target\": 8}, {\"weight\": 15686, \"source\": 7, \"target\": 8}]}", "id": 694, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CJS, KWA, ZBL, PBL, CAH, KBU, AGM, DSM, VPY\n- Travel distances (in kilometers) between each pair of airports:\nCJS to DSM: 2305\nCJS to AGM: 9523\nCJS to KBU: 15540\nCJS to ZBL: 13361\nCJS to VPY: 17247\nCJS to KWA: 9613\nCJS to PBL: 5019\nCJS to CAH: 14575\nKWA to DSM: 10452\nKWA to AGM: 16307\nKWA to KBU: 7899\nKWA to ZBL: 5154\nKWA to VPY: 17409\nKWA to PBL: 14237\nKWA to CAH: 7209\nZBL to DSM: 14286\nZBL to AGM: 19746\nZBL to KBU: 5876\nZBL to VPY: 13390\nZBL to PBL: 17905\nZBL to CAH: 7900\nPBL to DSM: 4469\nPBL to AGM: 10005\nPBL to KBU: 19867\nPBL to VPY: 13389\nPBL to CAH: 18161\nCAH to DSM: 14550\nCAH to AGM: 13325\nCAH to KBU: 3183\nCAH to VPY: 10856\nKBU to DSM: 15515\nKBU to AGM: 15439\nKBU to VPY: 11661\nAGM to DSM: 7474\nAGM to VPY: 14286\nDSM to VPY: 15686\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LFT, CFU, EUG, COU, KWA, GND, YDQ, RBY, YVZ\n- Travel distances (in kilometers) between each pair of airports:\nLFT to CFU: 9604\nLFT to RBY: 6052\nLFT to YDQ: 4138\nLFT to COU: 1352\nLFT to EUG: 3145\nLFT to GND: 4238\nLFT to KWA: 10694\nLFT to YVZ: 3023\nCFU to RBY: 12479\nCFU to YDQ: 10024\nCFU to COU: 8901\nCFU to EUG: 10023\nCFU to GND: 8980\nCFU to KWA: 14712\nCFU to YVZ: 9266\nEUG to RBY: 3197\nEUG to YDQ: 1327\nEUG to COU: 3369\nEUG to GND: 6819\nEUG to KWA: 8456\nEUG to YVZ: 2693\nCOU to RBY: 5852\nCOU to YDQ: 4029\nCOU to GND: 4796\nCOU to KWA: 10967\nCOU to YVZ: 2095\nKWA to RBY: 9351\nKWA to YDQ: 9207\nKWA to GND: 14392\nKWA to YVZ: 10767\nGND to RBY: 9636\nGND to YDQ: 7764\nGND to YVZ: 5426\nYDQ to RBY: 3780\nYDQ to YVZ: 2881\nRBY to YVZ: 5189\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 48133, "style": "rule" }
{ "exact_answer": 48133, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"LFT\", \"id\": 0}, {\"name\": \"CFU\", \"id\": 1}, {\"name\": \"EUG\", \"id\": 2}, {\"name\": \"COU\", \"id\": 3}, {\"name\": \"KWA\", \"id\": 4}, {\"name\": \"GND\", \"id\": 5}, {\"name\": \"YDQ\", \"id\": 6}, {\"name\": \"RBY\", \"id\": 7}, {\"name\": \"YVZ\", \"id\": 8}], \"links\": [{\"weight\": 9604, \"source\": 0, \"target\": 1}, {\"weight\": 6052, \"source\": 0, \"target\": 7}, {\"weight\": 4138, \"source\": 0, \"target\": 6}, {\"weight\": 1352, \"source\": 0, \"target\": 3}, {\"weight\": 3145, \"source\": 0, \"target\": 2}, {\"weight\": 4238, \"source\": 0, \"target\": 5}, {\"weight\": 10694, \"source\": 0, \"target\": 4}, {\"weight\": 3023, \"source\": 0, \"target\": 8}, {\"weight\": 12479, \"source\": 1, \"target\": 7}, {\"weight\": 10024, \"source\": 1, \"target\": 6}, {\"weight\": 8901, \"source\": 1, \"target\": 3}, {\"weight\": 10023, \"source\": 1, \"target\": 2}, {\"weight\": 8980, \"source\": 1, \"target\": 5}, {\"weight\": 14712, \"source\": 1, \"target\": 4}, {\"weight\": 9266, \"source\": 1, \"target\": 8}, {\"weight\": 3197, \"source\": 2, \"target\": 7}, {\"weight\": 1327, \"source\": 2, \"target\": 6}, {\"weight\": 3369, \"source\": 2, \"target\": 3}, {\"weight\": 6819, \"source\": 2, \"target\": 5}, {\"weight\": 8456, \"source\": 2, \"target\": 4}, {\"weight\": 2693, \"source\": 2, \"target\": 8}, {\"weight\": 5852, \"source\": 3, \"target\": 7}, {\"weight\": 4029, \"source\": 3, \"target\": 6}, {\"weight\": 4796, \"source\": 3, \"target\": 5}, {\"weight\": 10967, \"source\": 3, \"target\": 4}, {\"weight\": 2095, \"source\": 3, \"target\": 8}, {\"weight\": 9351, \"source\": 4, \"target\": 7}, {\"weight\": 9207, \"source\": 4, \"target\": 6}, {\"weight\": 14392, \"source\": 4, \"target\": 5}, {\"weight\": 10767, \"source\": 4, \"target\": 8}, {\"weight\": 9636, \"source\": 5, \"target\": 7}, {\"weight\": 7764, \"source\": 5, \"target\": 6}, {\"weight\": 5426, \"source\": 5, \"target\": 8}, {\"weight\": 3780, \"source\": 6, \"target\": 7}, {\"weight\": 2881, \"source\": 6, \"target\": 8}, {\"weight\": 5189, \"source\": 7, \"target\": 8}]}", "id": 695, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LFT, CFU, EUG, COU, KWA, GND, YDQ, RBY, YVZ\n- Travel distances (in kilometers) between each pair of airports:\nLFT to CFU: 9604\nLFT to RBY: 6052\nLFT to YDQ: 4138\nLFT to COU: 1352\nLFT to EUG: 3145\nLFT to GND: 4238\nLFT to KWA: 10694\nLFT to YVZ: 3023\nCFU to RBY: 12479\nCFU to YDQ: 10024\nCFU to COU: 8901\nCFU to EUG: 10023\nCFU to GND: 8980\nCFU to KWA: 14712\nCFU to YVZ: 9266\nEUG to RBY: 3197\nEUG to YDQ: 1327\nEUG to COU: 3369\nEUG to GND: 6819\nEUG to KWA: 8456\nEUG to YVZ: 2693\nCOU to RBY: 5852\nCOU to YDQ: 4029\nCOU to GND: 4796\nCOU to KWA: 10967\nCOU to YVZ: 2095\nKWA to RBY: 9351\nKWA to YDQ: 9207\nKWA to GND: 14392\nKWA to YVZ: 10767\nGND to RBY: 9636\nGND to YDQ: 7764\nGND to YVZ: 5426\nYDQ to RBY: 3780\nYDQ to YVZ: 2881\nRBY to YVZ: 5189\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BHD, LMN, POR, ZIH, RFP, DTM, BGO, MIR, SHJ\n- Travel distances (in kilometers) between each pair of airports:\nBHD to POR: 1828\nBHD to ZIH: 9012\nBHD to BGO: 913\nBHD to DTM: 1209\nBHD to SHJ: 5920\nBHD to MIR: 2463\nBHD to LMN: 11967\nBHD to RFP: 15412\nLMN to POR: 10271\nLMN to ZIH: 15712\nLMN to BGO: 11145\nLMN to DTM: 11229\nLMN to SHJ: 7036\nLMN to MIR: 11461\nLMN to RFP: 12799\nPOR to ZIH: 10147\nPOR to BGO: 1000\nPOR to DTM: 1771\nPOR to SHJ: 4788\nPOR to MIR: 3015\nPOR to RFP: 15983\nZIH to BGO: 9229\nZIH to DTM: 9767\nZIH to SHJ: 14643\nZIH to MIR: 10782\nZIH to RFP: 9306\nRFP to BGO: 15425\nRFP to DTM: 16293\nRFP to SHJ: 17622\nRFP to MIR: 17546\nDTM to BGO: 1499\nDTM to SHJ: 5005\nDTM to MIR: 1875\nBGO to SHJ: 5444\nBGO to MIR: 2761\nMIR to SHJ: 4580\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 48292, "style": "rule" }
{ "exact_answer": 48292, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"BHD\", \"id\": 0}, {\"name\": \"LMN\", \"id\": 1}, {\"name\": \"POR\", \"id\": 2}, {\"name\": \"ZIH\", \"id\": 3}, {\"name\": \"RFP\", \"id\": 4}, {\"name\": \"DTM\", \"id\": 5}, {\"name\": \"BGO\", \"id\": 6}, {\"name\": \"MIR\", \"id\": 7}, {\"name\": \"SHJ\", \"id\": 8}], \"links\": [{\"weight\": 1828, \"source\": 0, \"target\": 2}, {\"weight\": 9012, \"source\": 0, \"target\": 3}, {\"weight\": 913, \"source\": 0, \"target\": 6}, {\"weight\": 1209, \"source\": 0, \"target\": 5}, {\"weight\": 5920, \"source\": 0, \"target\": 8}, {\"weight\": 2463, \"source\": 0, \"target\": 7}, {\"weight\": 11967, \"source\": 0, \"target\": 1}, {\"weight\": 15412, \"source\": 0, \"target\": 4}, {\"weight\": 10271, \"source\": 1, \"target\": 2}, {\"weight\": 15712, \"source\": 1, \"target\": 3}, {\"weight\": 11145, \"source\": 1, \"target\": 6}, {\"weight\": 11229, \"source\": 1, \"target\": 5}, {\"weight\": 7036, \"source\": 1, \"target\": 8}, {\"weight\": 11461, \"source\": 1, \"target\": 7}, {\"weight\": 12799, \"source\": 1, \"target\": 4}, {\"weight\": 10147, \"source\": 2, \"target\": 3}, {\"weight\": 1000, \"source\": 2, \"target\": 6}, {\"weight\": 1771, \"source\": 2, \"target\": 5}, {\"weight\": 4788, \"source\": 2, \"target\": 8}, {\"weight\": 3015, \"source\": 2, \"target\": 7}, {\"weight\": 15983, \"source\": 2, \"target\": 4}, {\"weight\": 9229, \"source\": 3, \"target\": 6}, {\"weight\": 9767, \"source\": 3, \"target\": 5}, {\"weight\": 14643, \"source\": 3, \"target\": 8}, {\"weight\": 10782, \"source\": 3, \"target\": 7}, {\"weight\": 9306, \"source\": 3, \"target\": 4}, {\"weight\": 15425, \"source\": 4, \"target\": 6}, {\"weight\": 16293, \"source\": 4, \"target\": 5}, {\"weight\": 17622, \"source\": 4, \"target\": 8}, {\"weight\": 17546, \"source\": 4, \"target\": 7}, {\"weight\": 1499, \"source\": 5, \"target\": 6}, {\"weight\": 5005, \"source\": 5, \"target\": 8}, {\"weight\": 1875, \"source\": 5, \"target\": 7}, {\"weight\": 5444, \"source\": 6, \"target\": 8}, {\"weight\": 2761, \"source\": 6, \"target\": 7}, {\"weight\": 4580, \"source\": 7, \"target\": 8}]}", "id": 696, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BHD, LMN, POR, ZIH, RFP, DTM, BGO, MIR, SHJ\n- Travel distances (in kilometers) between each pair of airports:\nBHD to POR: 1828\nBHD to ZIH: 9012\nBHD to BGO: 913\nBHD to DTM: 1209\nBHD to SHJ: 5920\nBHD to MIR: 2463\nBHD to LMN: 11967\nBHD to RFP: 15412\nLMN to POR: 10271\nLMN to ZIH: 15712\nLMN to BGO: 11145\nLMN to DTM: 11229\nLMN to SHJ: 7036\nLMN to MIR: 11461\nLMN to RFP: 12799\nPOR to ZIH: 10147\nPOR to BGO: 1000\nPOR to DTM: 1771\nPOR to SHJ: 4788\nPOR to MIR: 3015\nPOR to RFP: 15983\nZIH to BGO: 9229\nZIH to DTM: 9767\nZIH to SHJ: 14643\nZIH to MIR: 10782\nZIH to RFP: 9306\nRFP to BGO: 15425\nRFP to DTM: 16293\nRFP to SHJ: 17622\nRFP to MIR: 17546\nDTM to BGO: 1499\nDTM to SHJ: 5005\nDTM to MIR: 1875\nBGO to SHJ: 5444\nBGO to MIR: 2761\nMIR to SHJ: 4580\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: NAQ, BVC, MQP, YAG, SHR, BBA, BDL, CAI, CJJ\n- Travel distances (in kilometers) between each pair of airports:\nNAQ to CAI: 7949\nNAQ to CJJ: 12809\nNAQ to BDL: 7655\nNAQ to BBA: 16745\nNAQ to YAG: 8422\nNAQ to BVC: 9173\nNAQ to MQP: 14301\nNAQ to SHR: 9340\nBVC to CAI: 6431\nBVC to CJJ: 13372\nBVC to BDL: 6360\nBVC to BBA: 9160\nBVC to YAG: 7526\nBVC to MQP: 7805\nBVC to SHR: 8989\nMQP to CAI: 6561\nMQP to CJJ: 13002\nMQP to BDL: 13592\nMQP to BBA: 11744\nMQP to YAG: 14931\nMQP to SHR: 16314\nYAG to CAI: 10444\nYAG to CJJ: 10860\nYAG to BDL: 1813\nYAG to BBA: 11225\nYAG to SHR: 2185\nSHR to CAI: 11588\nSHR to CJJ: 11015\nSHR to BDL: 3258\nSHR to BBA: 10869\nBBA to CAI: 14301\nBBA to CJJ: 20499\nBBA to BDL: 9868\nBDL to CAI: 9131\nBDL to CJJ: 12021\nCAI to CJJ: 8553\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 67410, "style": "rule" }
{ "exact_answer": 67410, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"NAQ\", \"id\": 0}, {\"name\": \"BVC\", \"id\": 1}, {\"name\": \"MQP\", \"id\": 2}, {\"name\": \"YAG\", \"id\": 3}, {\"name\": \"SHR\", \"id\": 4}, {\"name\": \"BBA\", \"id\": 5}, {\"name\": \"BDL\", \"id\": 6}, {\"name\": \"CAI\", \"id\": 7}, {\"name\": \"CJJ\", \"id\": 8}], \"links\": [{\"weight\": 7949, \"source\": 0, \"target\": 7}, {\"weight\": 12809, \"source\": 0, \"target\": 8}, {\"weight\": 7655, \"source\": 0, \"target\": 6}, {\"weight\": 16745, \"source\": 0, \"target\": 5}, {\"weight\": 8422, \"source\": 0, \"target\": 3}, {\"weight\": 9173, \"source\": 0, \"target\": 1}, {\"weight\": 14301, \"source\": 0, \"target\": 2}, {\"weight\": 9340, \"source\": 0, \"target\": 4}, {\"weight\": 6431, \"source\": 1, \"target\": 7}, {\"weight\": 13372, \"source\": 1, \"target\": 8}, {\"weight\": 6360, \"source\": 1, \"target\": 6}, {\"weight\": 9160, \"source\": 1, \"target\": 5}, {\"weight\": 7526, \"source\": 1, \"target\": 3}, {\"weight\": 7805, \"source\": 1, \"target\": 2}, {\"weight\": 8989, \"source\": 1, \"target\": 4}, {\"weight\": 6561, \"source\": 2, \"target\": 7}, {\"weight\": 13002, \"source\": 2, \"target\": 8}, {\"weight\": 13592, \"source\": 2, \"target\": 6}, {\"weight\": 11744, \"source\": 2, \"target\": 5}, {\"weight\": 14931, \"source\": 2, \"target\": 3}, {\"weight\": 16314, \"source\": 2, \"target\": 4}, {\"weight\": 10444, \"source\": 3, \"target\": 7}, {\"weight\": 10860, \"source\": 3, \"target\": 8}, {\"weight\": 1813, \"source\": 3, \"target\": 6}, {\"weight\": 11225, \"source\": 3, \"target\": 5}, {\"weight\": 2185, \"source\": 3, \"target\": 4}, {\"weight\": 11588, \"source\": 4, \"target\": 7}, {\"weight\": 11015, \"source\": 4, \"target\": 8}, {\"weight\": 3258, \"source\": 4, \"target\": 6}, {\"weight\": 10869, \"source\": 4, \"target\": 5}, {\"weight\": 14301, \"source\": 5, \"target\": 7}, {\"weight\": 20499, \"source\": 5, \"target\": 8}, {\"weight\": 9868, \"source\": 5, \"target\": 6}, {\"weight\": 9131, \"source\": 6, \"target\": 7}, {\"weight\": 12021, \"source\": 6, \"target\": 8}, {\"weight\": 8553, \"source\": 7, \"target\": 8}]}", "id": 697, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: NAQ, BVC, MQP, YAG, SHR, BBA, BDL, CAI, CJJ\n- Travel distances (in kilometers) between each pair of airports:\nNAQ to CAI: 7949\nNAQ to CJJ: 12809\nNAQ to BDL: 7655\nNAQ to BBA: 16745\nNAQ to YAG: 8422\nNAQ to BVC: 9173\nNAQ to MQP: 14301\nNAQ to SHR: 9340\nBVC to CAI: 6431\nBVC to CJJ: 13372\nBVC to BDL: 6360\nBVC to BBA: 9160\nBVC to YAG: 7526\nBVC to MQP: 7805\nBVC to SHR: 8989\nMQP to CAI: 6561\nMQP to CJJ: 13002\nMQP to BDL: 13592\nMQP to BBA: 11744\nMQP to YAG: 14931\nMQP to SHR: 16314\nYAG to CAI: 10444\nYAG to CJJ: 10860\nYAG to BDL: 1813\nYAG to BBA: 11225\nYAG to SHR: 2185\nSHR to CAI: 11588\nSHR to CJJ: 11015\nSHR to BDL: 3258\nSHR to BBA: 10869\nBBA to CAI: 14301\nBBA to CJJ: 20499\nBBA to BDL: 9868\nBDL to CAI: 9131\nBDL to CJJ: 12021\nCAI to CJJ: 8553\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LJA, BKQ, UNN, TKU, ADD, AAQ, GPS, OMD, YXH\n- Travel distances (in kilometers) between each pair of airports:\nLJA to TKU: 8338\nLJA to ADD: 3896\nLJA to YXH: 14602\nLJA to UNN: 11483\nLJA to BKQ: 16299\nLJA to GPS: 13749\nLJA to AAQ: 9032\nLJA to OMD: 3732\nBKQ to TKU: 14655\nBKQ to ADD: 13799\nBKQ to YXH: 13682\nBKQ to UNN: 7966\nBKQ to GPS: 17551\nBKQ to AAQ: 14962\nBKQ to OMD: 14462\nUNN to TKU: 8802\nUNN to ADD: 7587\nUNN to YXH: 13257\nUNN to GPS: 20504\nUNN to AAQ: 8895\nUNN to OMD: 11980\nTKU to ADD: 5898\nTKU to YXH: 7829\nTKU to GPS: 12283\nTKU to AAQ: 2159\nTKU to OMD: 10246\nADD to YXH: 13139\nADD to GPS: 15740\nADD to AAQ: 6362\nADD to OMD: 5019\nAAQ to YXH: 9882\nAAQ to GPS: 14238\nAAQ to OMD: 10940\nGPS to YXH: 8199\nGPS to OMD: 14549\nOMD to YXH: 16109\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 68976, "style": "rule" }
{ "exact_answer": 68976, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"LJA\", \"id\": 0}, {\"name\": \"BKQ\", \"id\": 1}, {\"name\": \"UNN\", \"id\": 2}, {\"name\": \"TKU\", \"id\": 3}, {\"name\": \"ADD\", \"id\": 4}, {\"name\": \"AAQ\", \"id\": 5}, {\"name\": \"GPS\", \"id\": 6}, {\"name\": \"OMD\", \"id\": 7}, {\"name\": \"YXH\", \"id\": 8}], \"links\": [{\"weight\": 8338, \"source\": 0, \"target\": 3}, {\"weight\": 3896, \"source\": 0, \"target\": 4}, {\"weight\": 14602, \"source\": 0, \"target\": 8}, {\"weight\": 11483, \"source\": 0, \"target\": 2}, {\"weight\": 16299, \"source\": 0, \"target\": 1}, {\"weight\": 13749, \"source\": 0, \"target\": 6}, {\"weight\": 9032, \"source\": 0, \"target\": 5}, {\"weight\": 3732, \"source\": 0, \"target\": 7}, {\"weight\": 14655, \"source\": 1, \"target\": 3}, {\"weight\": 13799, \"source\": 1, \"target\": 4}, {\"weight\": 13682, \"source\": 1, \"target\": 8}, {\"weight\": 7966, \"source\": 1, \"target\": 2}, {\"weight\": 17551, \"source\": 1, \"target\": 6}, {\"weight\": 14962, \"source\": 1, \"target\": 5}, {\"weight\": 14462, \"source\": 1, \"target\": 7}, {\"weight\": 8802, \"source\": 2, \"target\": 3}, {\"weight\": 7587, \"source\": 2, \"target\": 4}, {\"weight\": 13257, \"source\": 2, \"target\": 8}, {\"weight\": 20504, \"source\": 2, \"target\": 6}, {\"weight\": 8895, \"source\": 2, \"target\": 5}, {\"weight\": 11980, \"source\": 2, \"target\": 7}, {\"weight\": 5898, \"source\": 3, \"target\": 4}, {\"weight\": 7829, \"source\": 3, \"target\": 8}, {\"weight\": 12283, \"source\": 3, \"target\": 6}, {\"weight\": 2159, \"source\": 3, \"target\": 5}, {\"weight\": 10246, \"source\": 3, \"target\": 7}, {\"weight\": 13139, \"source\": 4, \"target\": 8}, {\"weight\": 15740, \"source\": 4, \"target\": 6}, {\"weight\": 6362, \"source\": 4, \"target\": 5}, {\"weight\": 5019, \"source\": 4, \"target\": 7}, {\"weight\": 9882, \"source\": 5, \"target\": 8}, {\"weight\": 14238, \"source\": 5, \"target\": 6}, {\"weight\": 10940, \"source\": 5, \"target\": 7}, {\"weight\": 8199, \"source\": 6, \"target\": 8}, {\"weight\": 14549, \"source\": 6, \"target\": 7}, {\"weight\": 16109, \"source\": 7, \"target\": 8}]}", "id": 698, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LJA, BKQ, UNN, TKU, ADD, AAQ, GPS, OMD, YXH\n- Travel distances (in kilometers) between each pair of airports:\nLJA to TKU: 8338\nLJA to ADD: 3896\nLJA to YXH: 14602\nLJA to UNN: 11483\nLJA to BKQ: 16299\nLJA to GPS: 13749\nLJA to AAQ: 9032\nLJA to OMD: 3732\nBKQ to TKU: 14655\nBKQ to ADD: 13799\nBKQ to YXH: 13682\nBKQ to UNN: 7966\nBKQ to GPS: 17551\nBKQ to AAQ: 14962\nBKQ to OMD: 14462\nUNN to TKU: 8802\nUNN to ADD: 7587\nUNN to YXH: 13257\nUNN to GPS: 20504\nUNN to AAQ: 8895\nUNN to OMD: 11980\nTKU to ADD: 5898\nTKU to YXH: 7829\nTKU to GPS: 12283\nTKU to AAQ: 2159\nTKU to OMD: 10246\nADD to YXH: 13139\nADD to GPS: 15740\nADD to AAQ: 6362\nADD to OMD: 5019\nAAQ to YXH: 9882\nAAQ to GPS: 14238\nAAQ to OMD: 10940\nGPS to YXH: 8199\nGPS to OMD: 14549\nOMD to YXH: 16109\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: DAT, HDM, LAI, CXH, SKN, CNM, GRK, WMO, DIU\n- Travel distances (in kilometers) between each pair of airports:\nDAT to WMO: 12138\nDAT to DIU: 4928\nDAT to LAI: 8924\nDAT to GRK: 11791\nDAT to HDM: 6010\nDAT to CXH: 9178\nDAT to CNM: 11200\nDAT to SKN: 8070\nHDM to WMO: 16867\nHDM to DIU: 3704\nHDM to LAI: 6395\nHDM to GRK: 14044\nHDM to CXH: 13907\nHDM to CNM: 14519\nHDM to SKN: 6783\nLAI to WMO: 11692\nLAI to DIU: 7706\nLAI to GRK: 8603\nLAI to CXH: 8732\nLAI to CNM: 9185\nLAI to SKN: 2770\nCXH to WMO: 3430\nCXH to DIU: 13972\nCXH to GRK: 3118\nCXH to CNM: 2502\nCXH to SKN: 8278\nSKN to WMO: 11238\nSKN to DIU: 7774\nSKN to GRK: 8546\nSKN to CNM: 8890\nCNM to WMO: 5445\nCNM to DIU: 15471\nCNM to GRK: 1499\nGRK to WMO: 5981\nGRK to DIU: 14937\nWMO to DIU: 16932\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 45895, "style": "rule" }
{ "exact_answer": 45895, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"DAT\", \"id\": 0}, {\"name\": \"HDM\", \"id\": 1}, {\"name\": \"LAI\", \"id\": 2}, {\"name\": \"CXH\", \"id\": 3}, {\"name\": \"SKN\", \"id\": 4}, {\"name\": \"CNM\", \"id\": 5}, {\"name\": \"GRK\", \"id\": 6}, {\"name\": \"WMO\", \"id\": 7}, {\"name\": \"DIU\", \"id\": 8}], \"links\": [{\"weight\": 12138, \"source\": 0, \"target\": 7}, {\"weight\": 4928, \"source\": 0, \"target\": 8}, {\"weight\": 8924, \"source\": 0, \"target\": 2}, {\"weight\": 11791, \"source\": 0, \"target\": 6}, {\"weight\": 6010, \"source\": 0, \"target\": 1}, {\"weight\": 9178, \"source\": 0, \"target\": 3}, {\"weight\": 11200, \"source\": 0, \"target\": 5}, {\"weight\": 8070, \"source\": 0, \"target\": 4}, {\"weight\": 16867, \"source\": 1, \"target\": 7}, {\"weight\": 3704, \"source\": 1, \"target\": 8}, {\"weight\": 6395, \"source\": 1, \"target\": 2}, {\"weight\": 14044, \"source\": 1, \"target\": 6}, {\"weight\": 13907, \"source\": 1, \"target\": 3}, {\"weight\": 14519, \"source\": 1, \"target\": 5}, {\"weight\": 6783, \"source\": 1, \"target\": 4}, {\"weight\": 11692, \"source\": 2, \"target\": 7}, {\"weight\": 7706, \"source\": 2, \"target\": 8}, {\"weight\": 8603, \"source\": 2, \"target\": 6}, {\"weight\": 8732, \"source\": 2, \"target\": 3}, {\"weight\": 9185, \"source\": 2, \"target\": 5}, {\"weight\": 2770, \"source\": 2, \"target\": 4}, {\"weight\": 3430, \"source\": 3, \"target\": 7}, {\"weight\": 13972, \"source\": 3, \"target\": 8}, {\"weight\": 3118, \"source\": 3, \"target\": 6}, {\"weight\": 2502, \"source\": 3, \"target\": 5}, {\"weight\": 8278, \"source\": 3, \"target\": 4}, {\"weight\": 11238, \"source\": 4, \"target\": 7}, {\"weight\": 7774, \"source\": 4, \"target\": 8}, {\"weight\": 8546, \"source\": 4, \"target\": 6}, {\"weight\": 8890, \"source\": 4, \"target\": 5}, {\"weight\": 5445, \"source\": 5, \"target\": 7}, {\"weight\": 15471, \"source\": 5, \"target\": 8}, {\"weight\": 1499, \"source\": 5, \"target\": 6}, {\"weight\": 5981, \"source\": 6, \"target\": 7}, {\"weight\": 14937, \"source\": 6, \"target\": 8}, {\"weight\": 16932, \"source\": 7, \"target\": 8}]}", "id": 699, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: DAT, HDM, LAI, CXH, SKN, CNM, GRK, WMO, DIU\n- Travel distances (in kilometers) between each pair of airports:\nDAT to WMO: 12138\nDAT to DIU: 4928\nDAT to LAI: 8924\nDAT to GRK: 11791\nDAT to HDM: 6010\nDAT to CXH: 9178\nDAT to CNM: 11200\nDAT to SKN: 8070\nHDM to WMO: 16867\nHDM to DIU: 3704\nHDM to LAI: 6395\nHDM to GRK: 14044\nHDM to CXH: 13907\nHDM to CNM: 14519\nHDM to SKN: 6783\nLAI to WMO: 11692\nLAI to DIU: 7706\nLAI to GRK: 8603\nLAI to CXH: 8732\nLAI to CNM: 9185\nLAI to SKN: 2770\nCXH to WMO: 3430\nCXH to DIU: 13972\nCXH to GRK: 3118\nCXH to CNM: 2502\nCXH to SKN: 8278\nSKN to WMO: 11238\nSKN to DIU: 7774\nSKN to GRK: 8546\nSKN to CNM: 8890\nCNM to WMO: 5445\nCNM to DIU: 15471\nCNM to GRK: 1499\nGRK to WMO: 5981\nGRK to DIU: 14937\nWMO to DIU: 16932\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }