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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\nProblem to Solve\n\n- Airports to visit: SPU, MNS, BOG, CAK, AJL, ENE, FPO, FIH, PWE\n- Travel distances (in kilometers) between each pair of airports:\nSPU to BOG: 9742\nSPU to FPO: 8697\nSPU to AJL: 7406\nSPU to CAK: 7631\nSPU to FIH: 6215\nSPU to ENE: 12204\nSPU to MNS: 7339\nSPU to PWE: 7667\nMNS to BOG: 13012\nMNS to FPO: 13906\nMNS to AJL: 8450\nMNS to CAK: 12906\nMNS to FIH: 1958\nMNS to ENE: 11914\nMNS to PWE: 13697\nBOG to FPO: 2614\nBOG to AJL: 16949\nBOG to CAK: 4114\nBOG to FIH: 11294\nBOG to ENE: 20580\nBOG to PWE: 16562\nCAK to FPO: 1620\nCAK to AJL: 13966\nCAK to FIH: 10948\nCAK to ENE: 16813\nCAK to PWE: 13627\nAJL to FPO: 15132\nAJL to FIH: 8943\nAJL to ENE: 5644\nAJL to PWE: 11713\nENE to FPO: 18289\nENE to FIH: 12530\nENE to PWE: 16378\nFPO to FIH: 11948\nFPO to PWE: 14749\nFIH to PWE: 12543\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]	{ "ground_truth": 62055, "style": "rule" }	{ "exact_answer": 62055, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"SPU\", \"id\": 0}, {\"name\": \"MNS\", \"id\": 1}, {\"name\": \"BOG\", \"id\": 2}, {\"name\": \"CAK\", \"id\": 3}, {\"name\": \"AJL\", \"id\": 4}, {\"name\": \"ENE\", \"id\": 5}, {\"name\": \"FPO\", \"id\": 6}, {\"name\": \"FIH\", \"id\": 7}, {\"name\": \"PWE\", \"id\": 8}], \"links\": [{\"weight\": 9742, \"source\": 0, \"target\": 2}, {\"weight\": 8697, \"source\": 0, \"target\": 6}, {\"weight\": 7406, \"source\": 0, \"target\": 4}, {\"weight\": 7631, \"source\": 0, \"target\": 3}, {\"weight\": 6215, \"source\": 0, \"target\": 7}, {\"weight\": 12204, \"source\": 0, \"target\": 5}, {\"weight\": 7339, \"source\": 0, \"target\": 1}, {\"weight\": 7667, \"source\": 0, \"target\": 8}, {\"weight\": 13012, \"source\": 1, \"target\": 2}, {\"weight\": 13906, \"source\": 1, \"target\": 6}, {\"weight\": 8450, \"source\": 1, \"target\": 4}, {\"weight\": 12906, \"source\": 1, \"target\": 3}, {\"weight\": 1958, \"source\": 1, \"target\": 7}, {\"weight\": 11914, \"source\": 1, \"target\": 5}, {\"weight\": 13697, \"source\": 1, \"target\": 8}, {\"weight\": 2614, \"source\": 2, \"target\": 6}, {\"weight\": 16949, \"source\": 2, \"target\": 4}, {\"weight\": 4114, \"source\": 2, \"target\": 3}, {\"weight\": 11294, \"source\": 2, \"target\": 7}, {\"weight\": 20580, \"source\": 2, \"target\": 5}, {\"weight\": 16562, \"source\": 2, \"target\": 8}, {\"weight\": 1620, \"source\": 3, \"target\": 6}, {\"weight\": 13966, \"source\": 3, \"target\": 4}, {\"weight\": 10948, \"source\": 3, \"target\": 7}, {\"weight\": 16813, \"source\": 3, \"target\": 5}, {\"weight\": 13627, \"source\": 3, \"target\": 8}, {\"weight\": 15132, \"source\": 4, \"target\": 6}, {\"weight\": 8943, \"source\": 4, \"target\": 7}, {\"weight\": 5644, \"source\": 4, \"target\": 5}, {\"weight\": 11713, \"source\": 4, \"target\": 8}, {\"weight\": 18289, \"source\": 5, \"target\": 6}, {\"weight\": 12530, \"source\": 5, \"target\": 7}, {\"weight\": 16378, \"source\": 5, \"target\": 8}, {\"weight\": 11948, \"source\": 6, \"target\": 7}, {\"weight\": 14749, \"source\": 6, \"target\": 8}, {\"weight\": 12543, \"source\": 7, \"target\": 8}]}", "id": 2400, "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\nProblem to Solve\n\n- Airports to visit: SPU, MNS, BOG, CAK, AJL, ENE, FPO, FIH, PWE\n- Travel distances (in kilometers) between each pair of airports:\nSPU to BOG: 9742\nSPU to FPO: 8697\nSPU to AJL: 7406\nSPU to CAK: 7631\nSPU to FIH: 6215\nSPU to ENE: 12204\nSPU to MNS: 7339\nSPU to PWE: 7667\nMNS to BOG: 13012\nMNS to FPO: 13906\nMNS to AJL: 8450\nMNS to CAK: 12906\nMNS to FIH: 1958\nMNS to ENE: 11914\nMNS to PWE: 13697\nBOG to FPO: 2614\nBOG to AJL: 16949\nBOG to CAK: 4114\nBOG to FIH: 11294\nBOG to ENE: 20580\nBOG to PWE: 16562\nCAK to FPO: 1620\nCAK to AJL: 13966\nCAK to FIH: 10948\nCAK to ENE: 16813\nCAK to PWE: 13627\nAJL to FPO: 15132\nAJL to FIH: 8943\nAJL to ENE: 5644\nAJL to PWE: 11713\nENE to FPO: 18289\nENE to FIH: 12530\nENE to PWE: 16378\nFPO to FIH: 11948\nFPO to PWE: 14749\nFIH to PWE: 12543\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\nProblem to Solve\n\n- Airports to visit: CGA, PHW, HNH, LGK, YQG, KNU, VDH, BHR, NSQ\n- Travel distances (in kilometers) between each pair of airports:\nCGA to LGK: 14138\nCGA to YQG: 4449\nCGA to KNU: 14068\nCGA to NSQ: 9539\nCGA to HNH: 523\nCGA to PHW: 18280\nCGA to VDH: 12614\nCGA to BHR: 13147\nPHW to LGK: 9345\nPHW to YQG: 14111\nPHW to KNU: 8880\nPHW to NSQ: 13892\nPHW to HNH: 18613\nPHW to VDH: 10687\nPHW to BHR: 9027\nHNH to LGK: 14471\nHNH to YQG: 4782\nHNH to KNU: 14401\nHNH to NSQ: 9872\nHNH to VDH: 12947\nHNH to BHR: 13480\nLGK to YQG: 15251\nLGK to KNU: 4406\nLGK to NSQ: 13786\nLGK to VDH: 2248\nLGK to BHR: 3382\nYQG to KNU: 12375\nYQG to NSQ: 7027\nYQG to VDH: 13625\nYQG to BHR: 12882\nKNU to NSQ: 10496\nKNU to VDH: 4279\nKNU to BHR: 1303\nVDH to NSQ: 12947\nVDH to BHR: 3170\nBHR to NSQ: 11003\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]	{ "ground_truth": 54651, "style": "rule" }	{ "exact_answer": 54651, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"CGA\", \"id\": 0}, {\"name\": \"PHW\", \"id\": 1}, {\"name\": \"HNH\", \"id\": 2}, {\"name\": \"LGK\", \"id\": 3}, {\"name\": \"YQG\", \"id\": 4}, {\"name\": \"KNU\", \"id\": 5}, {\"name\": \"VDH\", \"id\": 6}, {\"name\": \"BHR\", \"id\": 7}, {\"name\": \"NSQ\", \"id\": 8}], \"links\": [{\"weight\": 14138, \"source\": 0, \"target\": 3}, {\"weight\": 4449, \"source\": 0, \"target\": 4}, {\"weight\": 14068, \"source\": 0, \"target\": 5}, {\"weight\": 9539, \"source\": 0, \"target\": 8}, {\"weight\": 523, \"source\": 0, \"target\": 2}, {\"weight\": 18280, \"source\": 0, \"target\": 1}, {\"weight\": 12614, \"source\": 0, \"target\": 6}, {\"weight\": 13147, \"source\": 0, \"target\": 7}, {\"weight\": 9345, \"source\": 1, \"target\": 3}, {\"weight\": 14111, \"source\": 1, \"target\": 4}, {\"weight\": 8880, \"source\": 1, \"target\": 5}, {\"weight\": 13892, \"source\": 1, \"target\": 8}, {\"weight\": 18613, \"source\": 1, \"target\": 2}, {\"weight\": 10687, \"source\": 1, \"target\": 6}, {\"weight\": 9027, \"source\": 1, \"target\": 7}, {\"weight\": 14471, \"source\": 2, \"target\": 3}, {\"weight\": 4782, \"source\": 2, \"target\": 4}, {\"weight\": 14401, \"source\": 2, \"target\": 5}, {\"weight\": 9872, \"source\": 2, \"target\": 8}, {\"weight\": 12947, \"source\": 2, \"target\": 6}, {\"weight\": 13480, \"source\": 2, \"target\": 7}, {\"weight\": 15251, \"source\": 3, \"target\": 4}, {\"weight\": 4406, \"source\": 3, \"target\": 5}, {\"weight\": 13786, \"source\": 3, \"target\": 8}, {\"weight\": 2248, \"source\": 3, \"target\": 6}, {\"weight\": 3382, \"source\": 3, \"target\": 7}, {\"weight\": 12375, \"source\": 4, \"target\": 5}, {\"weight\": 7027, \"source\": 4, \"target\": 8}, {\"weight\": 13625, \"source\": 4, \"target\": 6}, {\"weight\": 12882, \"source\": 4, \"target\": 7}, {\"weight\": 10496, \"source\": 5, \"target\": 8}, {\"weight\": 4279, \"source\": 5, \"target\": 6}, {\"weight\": 1303, \"source\": 5, \"target\": 7}, {\"weight\": 12947, \"source\": 6, \"target\": 8}, {\"weight\": 3170, \"source\": 6, \"target\": 7}, {\"weight\": 11003, \"source\": 7, \"target\": 8}]}", "id": 2401, "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\nProblem to Solve\n\n- Airports to visit: CGA, PHW, HNH, LGK, YQG, KNU, VDH, BHR, NSQ\n- Travel distances (in kilometers) between each pair of airports:\nCGA to LGK: 14138\nCGA to YQG: 4449\nCGA to KNU: 14068\nCGA to NSQ: 9539\nCGA to HNH: 523\nCGA to PHW: 18280\nCGA to VDH: 12614\nCGA to BHR: 13147\nPHW to LGK: 9345\nPHW to YQG: 14111\nPHW to KNU: 8880\nPHW to NSQ: 13892\nPHW to HNH: 18613\nPHW to VDH: 10687\nPHW to BHR: 9027\nHNH to LGK: 14471\nHNH to YQG: 4782\nHNH to KNU: 14401\nHNH to NSQ: 9872\nHNH to VDH: 12947\nHNH to BHR: 13480\nLGK to YQG: 15251\nLGK to KNU: 4406\nLGK to NSQ: 13786\nLGK to VDH: 2248\nLGK to BHR: 3382\nYQG to KNU: 12375\nYQG to NSQ: 7027\nYQG to VDH: 13625\nYQG to BHR: 12882\nKNU to NSQ: 10496\nKNU to VDH: 4279\nKNU to BHR: 1303\nVDH to NSQ: 12947\nVDH to BHR: 3170\nBHR to NSQ: 11003\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\nProblem to Solve\n\n- Airports to visit: OGZ, ERZ, VIN, NDY, YBL, BSO, MAH, LDU, CJM\n- Travel distances (in kilometers) between each pair of airports:\nOGZ to BSO: 10360\nOGZ to YBL: 10656\nOGZ to ERZ: 4178\nOGZ to MAH: 4500\nOGZ to CJM: 9048\nOGZ to NDY: 4123\nOGZ to LDU: 10651\nOGZ to VIN: 6036\nERZ to BSO: 10311\nERZ to YBL: 11023\nERZ to MAH: 3410\nERZ to CJM: 8227\nERZ to NDY: 4170\nERZ to LDU: 10134\nERZ to VIN: 4099\nVIN to BSO: 11524\nVIN to YBL: 13097\nVIN to MAH: 5234\nVIN to CJM: 9342\nVIN to NDY: 6233\nVIN to LDU: 11199\nNDY to BSO: 11454\nNDY to YBL: 7574\nNDY to MAH: 2217\nNDY to CJM: 10293\nNDY to LDU: 11745\nYBL to BSO: 11394\nYBL to MAH: 9041\nYBL to CJM: 12352\nYBL to LDU: 12088\nBSO to MAH: 11951\nBSO to CJM: 3257\nBSO to LDU: 2033\nMAH to CJM: 10220\nMAH to LDU: 12134\nLDU to CJM: 3330\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]	{ "ground_truth": 48667, "style": "rule" }	{ "exact_answer": 48667, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"OGZ\", \"id\": 0}, {\"name\": \"ERZ\", \"id\": 1}, {\"name\": \"VIN\", \"id\": 2}, {\"name\": \"NDY\", \"id\": 3}, {\"name\": \"YBL\", \"id\": 4}, {\"name\": \"BSO\", \"id\": 5}, {\"name\": \"MAH\", \"id\": 6}, {\"name\": \"LDU\", \"id\": 7}, {\"name\": \"CJM\", \"id\": 8}], \"links\": [{\"weight\": 10360, \"source\": 0, \"target\": 5}, {\"weight\": 10656, \"source\": 0, \"target\": 4}, {\"weight\": 4178, \"source\": 0, \"target\": 1}, {\"weight\": 4500, \"source\": 0, \"target\": 6}, {\"weight\": 9048, \"source\": 0, \"target\": 8}, {\"weight\": 4123, \"source\": 0, \"target\": 3}, {\"weight\": 10651, \"source\": 0, \"target\": 7}, {\"weight\": 6036, \"source\": 0, \"target\": 2}, {\"weight\": 10311, \"source\": 1, \"target\": 5}, {\"weight\": 11023, \"source\": 1, \"target\": 4}, {\"weight\": 3410, \"source\": 1, \"target\": 6}, {\"weight\": 8227, \"source\": 1, \"target\": 8}, {\"weight\": 4170, \"source\": 1, \"target\": 3}, {\"weight\": 10134, \"source\": 1, \"target\": 7}, {\"weight\": 4099, \"source\": 1, \"target\": 2}, {\"weight\": 11524, \"source\": 2, \"target\": 5}, {\"weight\": 13097, \"source\": 2, \"target\": 4}, {\"weight\": 5234, \"source\": 2, \"target\": 6}, {\"weight\": 9342, \"source\": 2, \"target\": 8}, {\"weight\": 6233, \"source\": 2, \"target\": 3}, {\"weight\": 11199, \"source\": 2, \"target\": 7}, {\"weight\": 11454, \"source\": 3, \"target\": 5}, {\"weight\": 7574, \"source\": 3, \"target\": 4}, {\"weight\": 2217, \"source\": 3, \"target\": 6}, {\"weight\": 10293, \"source\": 3, \"target\": 8}, {\"weight\": 11745, \"source\": 3, \"target\": 7}, {\"weight\": 11394, \"source\": 4, \"target\": 5}, {\"weight\": 9041, \"source\": 4, \"target\": 6}, {\"weight\": 12352, \"source\": 4, \"target\": 8}, {\"weight\": 12088, \"source\": 4, \"target\": 7}, {\"weight\": 11951, \"source\": 5, \"target\": 6}, {\"weight\": 3257, \"source\": 5, \"target\": 8}, {\"weight\": 2033, \"source\": 5, \"target\": 7}, {\"weight\": 10220, \"source\": 6, \"target\": 8}, {\"weight\": 12134, \"source\": 6, \"target\": 7}, {\"weight\": 3330, \"source\": 7, \"target\": 8}]}", "id": 2402, "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\nProblem to Solve\n\n- Airports to visit: OGZ, ERZ, VIN, NDY, YBL, BSO, MAH, LDU, CJM\n- Travel distances (in kilometers) between each pair of airports:\nOGZ to BSO: 10360\nOGZ to YBL: 10656\nOGZ to ERZ: 4178\nOGZ to MAH: 4500\nOGZ to CJM: 9048\nOGZ to NDY: 4123\nOGZ to LDU: 10651\nOGZ to VIN: 6036\nERZ to BSO: 10311\nERZ to YBL: 11023\nERZ to MAH: 3410\nERZ to CJM: 8227\nERZ to NDY: 4170\nERZ to LDU: 10134\nERZ to VIN: 4099\nVIN to BSO: 11524\nVIN to YBL: 13097\nVIN to MAH: 5234\nVIN to CJM: 9342\nVIN to NDY: 6233\nVIN to LDU: 11199\nNDY to BSO: 11454\nNDY to YBL: 7574\nNDY to MAH: 2217\nNDY to CJM: 10293\nNDY to LDU: 11745\nYBL to BSO: 11394\nYBL to MAH: 9041\nYBL to CJM: 12352\nYBL to LDU: 12088\nBSO to MAH: 11951\nBSO to CJM: 3257\nBSO to LDU: 2033\nMAH to CJM: 10220\nMAH to LDU: 12134\nLDU to CJM: 3330\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\nProblem to Solve\n\n- Airports to visit: LNZ, BMV, VLY, ADD, YTE, MBA, YWL, IRZ, WIC\n- Travel distances (in kilometers) between each pair of airports:\nLNZ to MBA: 6463\nLNZ to YTE: 7695\nLNZ to YWL: 8857\nLNZ to ADD: 5015\nLNZ to IRZ: 10796\nLNZ to WIC: 1661\nLNZ to BMV: 9519\nLNZ to VLY: 1553\nBMV to MBA: 8621\nBMV to YTE: 15305\nBMV to YWL: 11893\nBMV to ADD: 7732\nBMV to IRZ: 19918\nBMV to WIC: 10263\nBMV to VLY: 10641\nVLY to MBA: 7738\nVLY to YTE: 7556\nVLY to YWL: 8141\nVLY to ADD: 6294\nVLY to IRZ: 10460\nVLY to WIC: 1006\nADD to MBA: 1448\nADD to YTE: 12507\nADD to YWL: 13752\nADD to IRZ: 12710\nADD to WIC: 6563\nYTE to MBA: 13850\nYTE to YWL: 4094\nYTE to IRZ: 9130\nYTE to WIC: 7382\nMBA to YWL: 15109\nMBA to IRZ: 13076\nMBA to WIC: 7920\nYWL to IRZ: 9608\nYWL to WIC: 7734\nIRZ to WIC: 10250\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]	{ "ground_truth": 53010, "style": "rule" }	{ "exact_answer": 53010, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"LNZ\", \"id\": 0}, {\"name\": \"BMV\", \"id\": 1}, {\"name\": \"VLY\", \"id\": 2}, {\"name\": \"ADD\", \"id\": 3}, {\"name\": \"YTE\", \"id\": 4}, {\"name\": \"MBA\", \"id\": 5}, {\"name\": \"YWL\", \"id\": 6}, {\"name\": \"IRZ\", \"id\": 7}, {\"name\": \"WIC\", \"id\": 8}], \"links\": [{\"weight\": 6463, \"source\": 0, \"target\": 5}, {\"weight\": 7695, \"source\": 0, \"target\": 4}, {\"weight\": 8857, \"source\": 0, \"target\": 6}, {\"weight\": 5015, \"source\": 0, \"target\": 3}, {\"weight\": 10796, \"source\": 0, \"target\": 7}, {\"weight\": 1661, \"source\": 0, \"target\": 8}, {\"weight\": 9519, \"source\": 0, \"target\": 1}, {\"weight\": 1553, \"source\": 0, \"target\": 2}, {\"weight\": 8621, \"source\": 1, \"target\": 5}, {\"weight\": 15305, \"source\": 1, \"target\": 4}, {\"weight\": 11893, \"source\": 1, \"target\": 6}, {\"weight\": 7732, \"source\": 1, \"target\": 3}, {\"weight\": 19918, \"source\": 1, \"target\": 7}, {\"weight\": 10263, \"source\": 1, \"target\": 8}, {\"weight\": 10641, \"source\": 1, \"target\": 2}, {\"weight\": 7738, \"source\": 2, \"target\": 5}, {\"weight\": 7556, \"source\": 2, \"target\": 4}, {\"weight\": 8141, \"source\": 2, \"target\": 6}, {\"weight\": 6294, \"source\": 2, \"target\": 3}, {\"weight\": 10460, \"source\": 2, \"target\": 7}, {\"weight\": 1006, \"source\": 2, \"target\": 8}, {\"weight\": 1448, \"source\": 3, \"target\": 5}, {\"weight\": 12507, \"source\": 3, \"target\": 4}, {\"weight\": 13752, \"source\": 3, \"target\": 6}, {\"weight\": 12710, \"source\": 3, \"target\": 7}, {\"weight\": 6563, \"source\": 3, \"target\": 8}, {\"weight\": 13850, \"source\": 4, \"target\": 5}, {\"weight\": 4094, \"source\": 4, \"target\": 6}, {\"weight\": 9130, \"source\": 4, \"target\": 7}, {\"weight\": 7382, \"source\": 4, \"target\": 8}, {\"weight\": 15109, \"source\": 5, \"target\": 6}, {\"weight\": 13076, \"source\": 5, \"target\": 7}, {\"weight\": 7920, \"source\": 5, \"target\": 8}, {\"weight\": 9608, \"source\": 6, \"target\": 7}, {\"weight\": 7734, \"source\": 6, \"target\": 8}, {\"weight\": 10250, \"source\": 7, \"target\": 8}]}", "id": 2403, "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\nProblem to Solve\n\n- Airports to visit: LNZ, BMV, VLY, ADD, YTE, MBA, YWL, IRZ, WIC\n- Travel distances (in kilometers) between each pair of airports:\nLNZ to MBA: 6463\nLNZ to YTE: 7695\nLNZ to YWL: 8857\nLNZ to ADD: 5015\nLNZ to IRZ: 10796\nLNZ to WIC: 1661\nLNZ to BMV: 9519\nLNZ to VLY: 1553\nBMV to MBA: 8621\nBMV to YTE: 15305\nBMV to YWL: 11893\nBMV to ADD: 7732\nBMV to IRZ: 19918\nBMV to WIC: 10263\nBMV to VLY: 10641\nVLY to MBA: 7738\nVLY to YTE: 7556\nVLY to YWL: 8141\nVLY to ADD: 6294\nVLY to IRZ: 10460\nVLY to WIC: 1006\nADD to MBA: 1448\nADD to YTE: 12507\nADD to YWL: 13752\nADD to IRZ: 12710\nADD to WIC: 6563\nYTE to MBA: 13850\nYTE to YWL: 4094\nYTE to IRZ: 9130\nYTE to WIC: 7382\nMBA to YWL: 15109\nMBA to IRZ: 13076\nMBA to WIC: 7920\nYWL to IRZ: 9608\nYWL to WIC: 7734\nIRZ to WIC: 10250\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\nProblem to Solve\n\n- Airports to visit: VDA, PNA, CMI, BHO, VIE, MQN, MQH, ACX, MTJ\n- Travel distances (in kilometers) between each pair of airports:\nVDA to VIE: 4488\nVDA to BHO: 10606\nVDA to CMI: 10334\nVDA to PNA: 4816\nVDA to ACX: 12476\nVDA to MQH: 12467\nVDA to MTJ: 11611\nVDA to MQN: 5490\nPNA to VIE: 2105\nPNA to BHO: 8148\nPNA to CMI: 7262\nPNA to ACX: 10289\nPNA to MQH: 8342\nPNA to MTJ: 8785\nPNA to MQN: 3380\nCMI to VIE: 7783\nCMI to BHO: 12825\nCMI to ACX: 12781\nCMI to MQH: 8180\nCMI to MTJ: 1957\nCMI to MQN: 7068\nBHO to VIE: 6133\nBHO to ACX: 3384\nBHO to MQH: 15314\nBHO to MTJ: 14295\nBHO to MQN: 6999\nVIE to ACX: 8232\nVIE to MQH: 9803\nVIE to MTJ: 9022\nVIE to MQN: 2101\nMQN to ACX: 8575\nMQN to MQH: 10953\nMQN to MTJ: 8022\nMQH to ACX: 18010\nMQH to MTJ: 9129\nACX to MTJ: 12598\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]	{ "ground_truth": 52865, "style": "rule" }	{ "exact_answer": 52865, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"VDA\", \"id\": 0}, {\"name\": \"PNA\", \"id\": 1}, {\"name\": \"CMI\", \"id\": 2}, {\"name\": \"BHO\", \"id\": 3}, {\"name\": \"VIE\", \"id\": 4}, {\"name\": \"MQN\", \"id\": 5}, {\"name\": \"MQH\", \"id\": 6}, {\"name\": \"ACX\", \"id\": 7}, {\"name\": \"MTJ\", \"id\": 8}], \"links\": [{\"weight\": 4488, \"source\": 0, \"target\": 4}, {\"weight\": 10606, \"source\": 0, \"target\": 3}, {\"weight\": 10334, \"source\": 0, \"target\": 2}, {\"weight\": 4816, \"source\": 0, \"target\": 1}, {\"weight\": 12476, \"source\": 0, \"target\": 7}, {\"weight\": 12467, \"source\": 0, \"target\": 6}, {\"weight\": 11611, \"source\": 0, \"target\": 8}, {\"weight\": 5490, \"source\": 0, \"target\": 5}, {\"weight\": 2105, \"source\": 1, \"target\": 4}, {\"weight\": 8148, \"source\": 1, \"target\": 3}, {\"weight\": 7262, \"source\": 1, \"target\": 2}, {\"weight\": 10289, \"source\": 1, \"target\": 7}, {\"weight\": 8342, \"source\": 1, \"target\": 6}, {\"weight\": 8785, \"source\": 1, \"target\": 8}, {\"weight\": 3380, \"source\": 1, \"target\": 5}, {\"weight\": 7783, \"source\": 2, \"target\": 4}, {\"weight\": 12825, \"source\": 2, \"target\": 3}, {\"weight\": 12781, \"source\": 2, \"target\": 7}, {\"weight\": 8180, \"source\": 2, \"target\": 6}, {\"weight\": 1957, \"source\": 2, \"target\": 8}, {\"weight\": 7068, \"source\": 2, \"target\": 5}, {\"weight\": 6133, \"source\": 3, \"target\": 4}, {\"weight\": 3384, \"source\": 3, \"target\": 7}, {\"weight\": 15314, \"source\": 3, \"target\": 6}, {\"weight\": 14295, \"source\": 3, \"target\": 8}, {\"weight\": 6999, \"source\": 3, \"target\": 5}, {\"weight\": 8232, \"source\": 4, \"target\": 7}, {\"weight\": 9803, \"source\": 4, \"target\": 6}, {\"weight\": 9022, \"source\": 4, \"target\": 8}, {\"weight\": 2101, \"source\": 4, \"target\": 5}, {\"weight\": 8575, \"source\": 5, \"target\": 7}, {\"weight\": 10953, \"source\": 5, \"target\": 6}, {\"weight\": 8022, \"source\": 5, \"target\": 8}, {\"weight\": 18010, \"source\": 6, \"target\": 7}, {\"weight\": 9129, \"source\": 6, \"target\": 8}, {\"weight\": 12598, \"source\": 7, \"target\": 8}]}", "id": 2404, "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\nProblem to Solve\n\n- Airports to visit: VDA, PNA, CMI, BHO, VIE, MQN, MQH, ACX, MTJ\n- Travel distances (in kilometers) between each pair of airports:\nVDA to VIE: 4488\nVDA to BHO: 10606\nVDA to CMI: 10334\nVDA to PNA: 4816\nVDA to ACX: 12476\nVDA to MQH: 12467\nVDA to MTJ: 11611\nVDA to MQN: 5490\nPNA to VIE: 2105\nPNA to BHO: 8148\nPNA to CMI: 7262\nPNA to ACX: 10289\nPNA to MQH: 8342\nPNA to MTJ: 8785\nPNA to MQN: 3380\nCMI to VIE: 7783\nCMI to BHO: 12825\nCMI to ACX: 12781\nCMI to MQH: 8180\nCMI to MTJ: 1957\nCMI to MQN: 7068\nBHO to VIE: 6133\nBHO to ACX: 3384\nBHO to MQH: 15314\nBHO to MTJ: 14295\nBHO to MQN: 6999\nVIE to ACX: 8232\nVIE to MQH: 9803\nVIE to MTJ: 9022\nVIE to MQN: 2101\nMQN to ACX: 8575\nMQN to MQH: 10953\nMQN to MTJ: 8022\nMQH to ACX: 18010\nMQH to MTJ: 9129\nACX to MTJ: 12598\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\nProblem to Solve\n\n- Airports to visit: AWZ, GYE, ZTH, LST, VDE, ROW, SKN, RGS, PVR\n- Travel distances (in kilometers) between each pair of airports:\nAWZ to GYE: 14038\nAWZ to PVR: 13996\nAWZ to ZTH: 2937\nAWZ to ROW: 13113\nAWZ to RGS: 5028\nAWZ to LST: 13056\nAWZ to VDE: 6655\nAWZ to SKN: 5354\nGYE to PVR: 3926\nGYE to ZTH: 11260\nGYE to ROW: 5016\nGYE to RGS: 9982\nGYE to LST: 15851\nGYE to VDE: 7799\nGYE to SKN: 11146\nZTH to PVR: 11450\nZTH to ROW: 10591\nZTH to RGS: 2250\nZTH to LST: 15658\nZTH to VDE: 4063\nZTH to SKN: 3542\nLST to PVR: 14934\nLST to ROW: 15420\nLST to RGS: 17779\nLST to VDE: 19329\nLST to SKN: 17092\nVDE to PVR: 9620\nVDE to ROW: 8828\nVDE to RGS: 2848\nVDE to SKN: 5116\nROW to PVR: 2281\nROW to RGS: 9528\nROW to SKN: 9029\nSKN to PVR: 9895\nSKN to RGS: 3616\nRGS to PVR: 10342\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]	{ "ground_truth": 55425, "style": "rule" }	{ "exact_answer": 55425, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"AWZ\", \"id\": 0}, {\"name\": \"GYE\", \"id\": 1}, {\"name\": \"ZTH\", \"id\": 2}, {\"name\": \"LST\", \"id\": 3}, {\"name\": \"VDE\", \"id\": 4}, {\"name\": \"ROW\", \"id\": 5}, {\"name\": \"SKN\", \"id\": 6}, {\"name\": \"RGS\", \"id\": 7}, {\"name\": \"PVR\", \"id\": 8}], \"links\": [{\"weight\": 14038, \"source\": 0, \"target\": 1}, {\"weight\": 13996, \"source\": 0, \"target\": 8}, {\"weight\": 2937, \"source\": 0, \"target\": 2}, {\"weight\": 13113, \"source\": 0, \"target\": 5}, {\"weight\": 5028, \"source\": 0, \"target\": 7}, {\"weight\": 13056, \"source\": 0, \"target\": 3}, {\"weight\": 6655, \"source\": 0, \"target\": 4}, {\"weight\": 5354, \"source\": 0, \"target\": 6}, {\"weight\": 3926, \"source\": 1, \"target\": 8}, {\"weight\": 11260, \"source\": 1, \"target\": 2}, {\"weight\": 5016, \"source\": 1, \"target\": 5}, {\"weight\": 9982, \"source\": 1, \"target\": 7}, {\"weight\": 15851, \"source\": 1, \"target\": 3}, {\"weight\": 7799, \"source\": 1, \"target\": 4}, {\"weight\": 11146, \"source\": 1, \"target\": 6}, {\"weight\": 11450, \"source\": 2, \"target\": 8}, {\"weight\": 10591, \"source\": 2, \"target\": 5}, {\"weight\": 2250, \"source\": 2, \"target\": 7}, {\"weight\": 15658, \"source\": 2, \"target\": 3}, {\"weight\": 4063, \"source\": 2, \"target\": 4}, {\"weight\": 3542, \"source\": 2, \"target\": 6}, {\"weight\": 14934, \"source\": 3, \"target\": 8}, {\"weight\": 15420, \"source\": 3, \"target\": 5}, {\"weight\": 17779, \"source\": 3, \"target\": 7}, {\"weight\": 19329, \"source\": 3, \"target\": 4}, {\"weight\": 17092, \"source\": 3, \"target\": 6}, {\"weight\": 9620, \"source\": 4, \"target\": 8}, {\"weight\": 8828, \"source\": 4, \"target\": 5}, {\"weight\": 2848, \"source\": 4, \"target\": 7}, {\"weight\": 5116, \"source\": 4, \"target\": 6}, {\"weight\": 2281, \"source\": 5, \"target\": 8}, {\"weight\": 9528, \"source\": 5, \"target\": 7}, {\"weight\": 9029, \"source\": 5, \"target\": 6}, {\"weight\": 9895, \"source\": 6, \"target\": 8}, {\"weight\": 3616, \"source\": 6, \"target\": 7}, {\"weight\": 10342, \"source\": 7, \"target\": 8}]}", "id": 2405, "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\nProblem to Solve\n\n- Airports to visit: AWZ, GYE, ZTH, LST, VDE, ROW, SKN, RGS, PVR\n- Travel distances (in kilometers) between each pair of airports:\nAWZ to GYE: 14038\nAWZ to PVR: 13996\nAWZ to ZTH: 2937\nAWZ to ROW: 13113\nAWZ to RGS: 5028\nAWZ to LST: 13056\nAWZ to VDE: 6655\nAWZ to SKN: 5354\nGYE to PVR: 3926\nGYE to ZTH: 11260\nGYE to ROW: 5016\nGYE to RGS: 9982\nGYE to LST: 15851\nGYE to VDE: 7799\nGYE to SKN: 11146\nZTH to PVR: 11450\nZTH to ROW: 10591\nZTH to RGS: 2250\nZTH to LST: 15658\nZTH to VDE: 4063\nZTH to SKN: 3542\nLST to PVR: 14934\nLST to ROW: 15420\nLST to RGS: 17779\nLST to VDE: 19329\nLST to SKN: 17092\nVDE to PVR: 9620\nVDE to ROW: 8828\nVDE to RGS: 2848\nVDE to SKN: 5116\nROW to PVR: 2281\nROW to RGS: 9528\nROW to SKN: 9029\nSKN to PVR: 9895\nSKN to RGS: 3616\nRGS to PVR: 10342\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\nProblem to Solve\n\n- Airports to visit: OAG, GOH, HUS, SEA, UAK, PHS, KIX, MFR, VDZ\n- Travel distances (in kilometers) between each pair of airports:\nOAG to KIX: 7984\nOAG to VDZ: 13044\nOAG to HUS: 13586\nOAG to SEA: 12676\nOAG to MFR: 12678\nOAG to PHS: 8106\nOAG to GOH: 19245\nOAG to UAK: 19708\nGOH to UAK: 463\nGOH to KIX: 11576\nGOH to VDZ: 9737\nGOH to HUS: 9997\nGOH to SEA: 7211\nGOH to MFR: 7777\nGOH to PHS: 12030\nHUS to KIX: 10928\nHUS to VDZ: 944\nHUS to SEA: 2786\nHUS to MFR: 3352\nHUS to PHS: 14633\nHUS to UAK: 10460\nSEA to MFR: 566\nSEA to KIX: 8142\nSEA to VDZ: 2526\nSEA to PHS: 11847\nSEA to UAK: 7674\nUAK to KIX: 12039\nUAK to VDZ: 10200\nUAK to MFR: 8240\nUAK to PHS: 12493\nPHS to KIX: 4238\nPHS to VDZ: 14373\nPHS to MFR: 12413\nKIX to VDZ: 10668\nKIX to MFR: 8590\nMFR to VDZ: 3035\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]	{ "ground_truth": 49963, "style": "rule" }	{ "exact_answer": 49963, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"OAG\", \"id\": 0}, {\"name\": \"GOH\", \"id\": 1}, {\"name\": \"HUS\", \"id\": 2}, {\"name\": \"SEA\", \"id\": 3}, {\"name\": \"UAK\", \"id\": 4}, {\"name\": \"PHS\", \"id\": 5}, {\"name\": \"KIX\", \"id\": 6}, {\"name\": \"MFR\", \"id\": 7}, {\"name\": \"VDZ\", \"id\": 8}], \"links\": [{\"weight\": 7984, \"source\": 0, \"target\": 6}, {\"weight\": 13044, \"source\": 0, \"target\": 8}, {\"weight\": 13586, \"source\": 0, \"target\": 2}, {\"weight\": 12676, \"source\": 0, \"target\": 3}, {\"weight\": 12678, \"source\": 0, \"target\": 7}, {\"weight\": 8106, \"source\": 0, \"target\": 5}, {\"weight\": 19245, \"source\": 0, \"target\": 1}, {\"weight\": 19708, \"source\": 0, \"target\": 4}, {\"weight\": 463, \"source\": 1, \"target\": 4}, {\"weight\": 11576, \"source\": 1, \"target\": 6}, {\"weight\": 9737, \"source\": 1, \"target\": 8}, {\"weight\": 9997, \"source\": 1, \"target\": 2}, {\"weight\": 7211, \"source\": 1, \"target\": 3}, {\"weight\": 7777, \"source\": 1, \"target\": 7}, {\"weight\": 12030, \"source\": 1, \"target\": 5}, {\"weight\": 10928, \"source\": 2, \"target\": 6}, {\"weight\": 944, \"source\": 2, \"target\": 8}, {\"weight\": 2786, \"source\": 2, \"target\": 3}, {\"weight\": 3352, \"source\": 2, \"target\": 7}, {\"weight\": 14633, \"source\": 2, \"target\": 5}, {\"weight\": 10460, \"source\": 2, \"target\": 4}, {\"weight\": 566, \"source\": 3, \"target\": 7}, {\"weight\": 8142, \"source\": 3, \"target\": 6}, {\"weight\": 2526, \"source\": 3, \"target\": 8}, {\"weight\": 11847, \"source\": 3, \"target\": 5}, {\"weight\": 7674, \"source\": 3, \"target\": 4}, {\"weight\": 12039, \"source\": 4, \"target\": 6}, {\"weight\": 10200, \"source\": 4, \"target\": 8}, {\"weight\": 8240, \"source\": 4, \"target\": 7}, {\"weight\": 12493, \"source\": 4, \"target\": 5}, {\"weight\": 4238, \"source\": 5, \"target\": 6}, {\"weight\": 14373, \"source\": 5, \"target\": 8}, {\"weight\": 12413, \"source\": 5, \"target\": 7}, {\"weight\": 10668, \"source\": 6, \"target\": 8}, {\"weight\": 8590, \"source\": 6, \"target\": 7}, {\"weight\": 3035, \"source\": 7, \"target\": 8}]}", "id": 2406, "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\nProblem to Solve\n\n- Airports to visit: OAG, GOH, HUS, SEA, UAK, PHS, KIX, MFR, VDZ\n- Travel distances (in kilometers) between each pair of airports:\nOAG to KIX: 7984\nOAG to VDZ: 13044\nOAG to HUS: 13586\nOAG to SEA: 12676\nOAG to MFR: 12678\nOAG to PHS: 8106\nOAG to GOH: 19245\nOAG to UAK: 19708\nGOH to UAK: 463\nGOH to KIX: 11576\nGOH to VDZ: 9737\nGOH to HUS: 9997\nGOH to SEA: 7211\nGOH to MFR: 7777\nGOH to PHS: 12030\nHUS to KIX: 10928\nHUS to VDZ: 944\nHUS to SEA: 2786\nHUS to MFR: 3352\nHUS to PHS: 14633\nHUS to UAK: 10460\nSEA to MFR: 566\nSEA to KIX: 8142\nSEA to VDZ: 2526\nSEA to PHS: 11847\nSEA to UAK: 7674\nUAK to KIX: 12039\nUAK to VDZ: 10200\nUAK to MFR: 8240\nUAK to PHS: 12493\nPHS to KIX: 4238\nPHS to VDZ: 14373\nPHS to MFR: 12413\nKIX to VDZ: 10668\nKIX to MFR: 8590\nMFR to VDZ: 3035\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\nProblem to Solve\n\n- Airports to visit: YXX, RUS, IAM, ZKE, TWF, RAP, PRG, KSQ, GSE\n- Travel distances (in kilometers) between each pair of airports:\nYXX to KSQ: 11841\nYXX to PRG: 8420\nYXX to RAP: 2566\nYXX to IAM: 10356\nYXX to GSE: 8025\nYXX to TWF: 2076\nYXX to RUS: 12967\nYXX to ZKE: 3456\nRUS to KSQ: 11764\nRUS to PRG: 15363\nRUS to RAP: 12817\nRUS to IAM: 17604\nRUS to GSE: 15356\nRUS to TWF: 12311\nRUS to ZKE: 15140\nIAM to KSQ: 6791\nIAM to PRG: 2753\nIAM to RAP: 9728\nIAM to GSE: 3503\nIAM to TWF: 10814\nIAM to ZKE: 8488\nZKE to KSQ: 11317\nZKE to PRG: 7276\nZKE to RAP: 2874\nZKE to GSE: 7501\nZKE to TWF: 3794\nTWF to KSQ: 12750\nTWF to PRG: 9259\nTWF to RAP: 1096\nTWF to GSE: 8934\nRAP to KSQ: 12189\nRAP to PRG: 8173\nRAP to GSE: 8373\nPRG to KSQ: 4456\nPRG to GSE: 1234\nKSQ to GSE: 4681\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]	{ "ground_truth": 47933, "style": "rule" }	{ "exact_answer": 47933, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"YXX\", \"id\": 0}, {\"name\": \"RUS\", \"id\": 1}, {\"name\": \"IAM\", \"id\": 2}, {\"name\": \"ZKE\", \"id\": 3}, {\"name\": \"TWF\", \"id\": 4}, {\"name\": \"RAP\", \"id\": 5}, {\"name\": \"PRG\", \"id\": 6}, {\"name\": \"KSQ\", \"id\": 7}, {\"name\": \"GSE\", \"id\": 8}], \"links\": [{\"weight\": 11841, \"source\": 0, \"target\": 7}, {\"weight\": 8420, \"source\": 0, \"target\": 6}, {\"weight\": 2566, \"source\": 0, \"target\": 5}, {\"weight\": 10356, \"source\": 0, \"target\": 2}, {\"weight\": 8025, \"source\": 0, \"target\": 8}, {\"weight\": 2076, \"source\": 0, \"target\": 4}, {\"weight\": 12967, \"source\": 0, \"target\": 1}, {\"weight\": 3456, \"source\": 0, \"target\": 3}, {\"weight\": 11764, \"source\": 1, \"target\": 7}, {\"weight\": 15363, \"source\": 1, \"target\": 6}, {\"weight\": 12817, \"source\": 1, \"target\": 5}, {\"weight\": 17604, \"source\": 1, \"target\": 2}, {\"weight\": 15356, \"source\": 1, \"target\": 8}, {\"weight\": 12311, \"source\": 1, \"target\": 4}, {\"weight\": 15140, \"source\": 1, \"target\": 3}, {\"weight\": 6791, \"source\": 2, \"target\": 7}, {\"weight\": 2753, \"source\": 2, \"target\": 6}, {\"weight\": 9728, \"source\": 2, \"target\": 5}, {\"weight\": 3503, \"source\": 2, \"target\": 8}, {\"weight\": 10814, \"source\": 2, \"target\": 4}, {\"weight\": 8488, \"source\": 2, \"target\": 3}, {\"weight\": 11317, \"source\": 3, \"target\": 7}, {\"weight\": 7276, \"source\": 3, \"target\": 6}, {\"weight\": 2874, \"source\": 3, \"target\": 5}, {\"weight\": 7501, \"source\": 3, \"target\": 8}, {\"weight\": 3794, \"source\": 3, \"target\": 4}, {\"weight\": 12750, \"source\": 4, \"target\": 7}, {\"weight\": 9259, \"source\": 4, \"target\": 6}, {\"weight\": 1096, \"source\": 4, \"target\": 5}, {\"weight\": 8934, \"source\": 4, \"target\": 8}, {\"weight\": 12189, \"source\": 5, \"target\": 7}, {\"weight\": 8173, \"source\": 5, \"target\": 6}, {\"weight\": 8373, \"source\": 5, \"target\": 8}, {\"weight\": 4456, \"source\": 6, \"target\": 7}, {\"weight\": 1234, \"source\": 6, \"target\": 8}, {\"weight\": 4681, \"source\": 7, \"target\": 8}]}", "id": 2407, "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\nProblem to Solve\n\n- Airports to visit: YXX, RUS, IAM, ZKE, TWF, RAP, PRG, KSQ, GSE\n- Travel distances (in kilometers) between each pair of airports:\nYXX to KSQ: 11841\nYXX to PRG: 8420\nYXX to RAP: 2566\nYXX to IAM: 10356\nYXX to GSE: 8025\nYXX to TWF: 2076\nYXX to RUS: 12967\nYXX to ZKE: 3456\nRUS to KSQ: 11764\nRUS to PRG: 15363\nRUS to RAP: 12817\nRUS to IAM: 17604\nRUS to GSE: 15356\nRUS to TWF: 12311\nRUS to ZKE: 15140\nIAM to KSQ: 6791\nIAM to PRG: 2753\nIAM to RAP: 9728\nIAM to GSE: 3503\nIAM to TWF: 10814\nIAM to ZKE: 8488\nZKE to KSQ: 11317\nZKE to PRG: 7276\nZKE to RAP: 2874\nZKE to GSE: 7501\nZKE to TWF: 3794\nTWF to KSQ: 12750\nTWF to PRG: 9259\nTWF to RAP: 1096\nTWF to GSE: 8934\nRAP to KSQ: 12189\nRAP to PRG: 8173\nRAP to GSE: 8373\nPRG to KSQ: 4456\nPRG to GSE: 1234\nKSQ to GSE: 4681\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\nProblem to Solve\n\n- Airports to visit: IRA, AZA, QRW, CCK, MMK, YTS, LBA, LGB, CEI\n- Travel distances (in kilometers) between each pair of airports:\nIRA to MMK: 15227\nIRA to LBA: 16315\nIRA to LGB: 11856\nIRA to YTS: 14833\nIRA to CEI: 8452\nIRA to AZA: 12040\nIRA to CCK: 9509\nIRA to QRW: 18033\nAZA to MMK: 10121\nAZA to LBA: 8493\nAZA to LGB: 815\nAZA to YTS: 3551\nAZA to CEI: 13264\nAZA to CCK: 19561\nAZA to QRW: 12197\nQRW to MMK: 7631\nQRW to LBA: 5462\nQRW to LGB: 12698\nQRW to YTS: 9888\nQRW to CEI: 11176\nQRW to CCK: 16624\nCCK to MMK: 17365\nCCK to LBA: 18265\nCCK to LGB: 19181\nCCK to YTS: 22109\nCCK to CEI: 9625\nMMK to LBA: 2692\nMMK to LGB: 10066\nMMK to YTS: 7690\nMMK to CEI: 8506\nYTS to LBA: 6127\nYTS to LGB: 3664\nYTS to CEI: 13867\nLBA to LGB: 8737\nLBA to CEI: 9539\nLGB to CEI: 12809\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]	{ "ground_truth": 61904, "style": "rule" }	{ "exact_answer": 61904, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"IRA\", \"id\": 0}, {\"name\": \"AZA\", \"id\": 1}, {\"name\": \"QRW\", \"id\": 2}, {\"name\": \"CCK\", \"id\": 3}, {\"name\": \"MMK\", \"id\": 4}, {\"name\": \"YTS\", \"id\": 5}, {\"name\": \"LBA\", \"id\": 6}, {\"name\": \"LGB\", \"id\": 7}, {\"name\": \"CEI\", \"id\": 8}], \"links\": [{\"weight\": 15227, \"source\": 0, \"target\": 4}, {\"weight\": 16315, \"source\": 0, \"target\": 6}, {\"weight\": 11856, \"source\": 0, \"target\": 7}, {\"weight\": 14833, \"source\": 0, \"target\": 5}, {\"weight\": 8452, \"source\": 0, \"target\": 8}, {\"weight\": 12040, \"source\": 0, \"target\": 1}, {\"weight\": 9509, \"source\": 0, \"target\": 3}, {\"weight\": 18033, \"source\": 0, \"target\": 2}, {\"weight\": 10121, \"source\": 1, \"target\": 4}, {\"weight\": 8493, \"source\": 1, \"target\": 6}, {\"weight\": 815, \"source\": 1, \"target\": 7}, {\"weight\": 3551, \"source\": 1, \"target\": 5}, {\"weight\": 13264, \"source\": 1, \"target\": 8}, {\"weight\": 19561, \"source\": 1, \"target\": 3}, {\"weight\": 12197, \"source\": 1, \"target\": 2}, {\"weight\": 7631, \"source\": 2, \"target\": 4}, {\"weight\": 5462, \"source\": 2, \"target\": 6}, {\"weight\": 12698, \"source\": 2, \"target\": 7}, {\"weight\": 9888, \"source\": 2, \"target\": 5}, {\"weight\": 11176, \"source\": 2, \"target\": 8}, {\"weight\": 16624, \"source\": 2, \"target\": 3}, {\"weight\": 17365, \"source\": 3, \"target\": 4}, {\"weight\": 18265, \"source\": 3, \"target\": 6}, {\"weight\": 19181, \"source\": 3, \"target\": 7}, {\"weight\": 22109, \"source\": 3, \"target\": 5}, {\"weight\": 9625, \"source\": 3, \"target\": 8}, {\"weight\": 2692, \"source\": 4, \"target\": 6}, {\"weight\": 10066, \"source\": 4, \"target\": 7}, {\"weight\": 7690, \"source\": 4, \"target\": 5}, {\"weight\": 8506, \"source\": 4, \"target\": 8}, {\"weight\": 6127, \"source\": 5, \"target\": 6}, {\"weight\": 3664, \"source\": 5, \"target\": 7}, {\"weight\": 13867, \"source\": 5, \"target\": 8}, {\"weight\": 8737, \"source\": 6, \"target\": 7}, {\"weight\": 9539, \"source\": 6, \"target\": 8}, {\"weight\": 12809, \"source\": 7, \"target\": 8}]}", "id": 2408, "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\nProblem to Solve\n\n- Airports to visit: IRA, AZA, QRW, CCK, MMK, YTS, LBA, LGB, CEI\n- Travel distances (in kilometers) between each pair of airports:\nIRA to MMK: 15227\nIRA to LBA: 16315\nIRA to LGB: 11856\nIRA to YTS: 14833\nIRA to CEI: 8452\nIRA to AZA: 12040\nIRA to CCK: 9509\nIRA to QRW: 18033\nAZA to MMK: 10121\nAZA to LBA: 8493\nAZA to LGB: 815\nAZA to YTS: 3551\nAZA to CEI: 13264\nAZA to CCK: 19561\nAZA to QRW: 12197\nQRW to MMK: 7631\nQRW to LBA: 5462\nQRW to LGB: 12698\nQRW to YTS: 9888\nQRW to CEI: 11176\nQRW to CCK: 16624\nCCK to MMK: 17365\nCCK to LBA: 18265\nCCK to LGB: 19181\nCCK to YTS: 22109\nCCK to CEI: 9625\nMMK to LBA: 2692\nMMK to LGB: 10066\nMMK to YTS: 7690\nMMK to CEI: 8506\nYTS to LBA: 6127\nYTS to LGB: 3664\nYTS to CEI: 13867\nLBA to LGB: 8737\nLBA to CEI: 9539\nLGB to CEI: 12809\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\nProblem to Solve\n\n- Airports to visit: SPU, KRS, KBV, HOM, CNY, RBA, LMM, KHN, BLI\n- Travel distances (in kilometers) between each pair of airports:\nSPU to KHN: 8824\nSPU to HOM: 11640\nSPU to KBV: 9307\nSPU to RBA: 2426\nSPU to LMM: 10902\nSPU to BLI: 9277\nSPU to KRS: 1766\nSPU to CNY: 9664\nKRS to KHN: 8367\nKRS to HOM: 10073\nKRS to KBV: 9600\nKRS to RBA: 2915\nKRS to LMM: 9359\nKRS to BLI: 7710\nKRS to CNY: 8368\nKBV to KHN: 2953\nKBV to HOM: 15157\nKBV to RBA: 11545\nKBV to LMM: 15201\nKBV to BLI: 12794\nKBV to CNY: 14033\nHOM to KHN: 12254\nHOM to RBA: 11537\nHOM to LMM: 5205\nHOM to BLI: 2663\nHOM to CNY: 3895\nCNY to KHN: 11142\nCNY to RBA: 9193\nCNY to LMM: 2028\nCNY to BLI: 1551\nRBA to KHN: 10882\nRBA to LMM: 9930\nRBA to BLI: 9663\nLMM to KHN: 12299\nLMM to BLI: 2847\nKHN to BLI: 9891\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]	{ "ground_truth": 45152, "style": "rule" }	{ "exact_answer": 45152, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"SPU\", \"id\": 0}, {\"name\": \"KRS\", \"id\": 1}, {\"name\": \"KBV\", \"id\": 2}, {\"name\": \"HOM\", \"id\": 3}, {\"name\": \"CNY\", \"id\": 4}, {\"name\": \"RBA\", \"id\": 5}, {\"name\": \"LMM\", \"id\": 6}, {\"name\": \"KHN\", \"id\": 7}, {\"name\": \"BLI\", \"id\": 8}], \"links\": [{\"weight\": 8824, \"source\": 0, \"target\": 7}, {\"weight\": 11640, \"source\": 0, \"target\": 3}, {\"weight\": 9307, \"source\": 0, \"target\": 2}, {\"weight\": 2426, \"source\": 0, \"target\": 5}, {\"weight\": 10902, \"source\": 0, \"target\": 6}, {\"weight\": 9277, \"source\": 0, \"target\": 8}, {\"weight\": 1766, \"source\": 0, \"target\": 1}, {\"weight\": 9664, \"source\": 0, \"target\": 4}, {\"weight\": 8367, \"source\": 1, \"target\": 7}, {\"weight\": 10073, \"source\": 1, \"target\": 3}, {\"weight\": 9600, \"source\": 1, \"target\": 2}, {\"weight\": 2915, \"source\": 1, \"target\": 5}, {\"weight\": 9359, \"source\": 1, \"target\": 6}, {\"weight\": 7710, \"source\": 1, \"target\": 8}, {\"weight\": 8368, \"source\": 1, \"target\": 4}, {\"weight\": 2953, \"source\": 2, \"target\": 7}, {\"weight\": 15157, \"source\": 2, \"target\": 3}, {\"weight\": 11545, \"source\": 2, \"target\": 5}, {\"weight\": 15201, \"source\": 2, \"target\": 6}, {\"weight\": 12794, \"source\": 2, \"target\": 8}, {\"weight\": 14033, \"source\": 2, \"target\": 4}, {\"weight\": 12254, \"source\": 3, \"target\": 7}, {\"weight\": 11537, \"source\": 3, \"target\": 5}, {\"weight\": 5205, \"source\": 3, \"target\": 6}, {\"weight\": 2663, \"source\": 3, \"target\": 8}, {\"weight\": 3895, \"source\": 3, \"target\": 4}, {\"weight\": 11142, \"source\": 4, \"target\": 7}, {\"weight\": 9193, \"source\": 4, \"target\": 5}, {\"weight\": 2028, \"source\": 4, \"target\": 6}, {\"weight\": 1551, \"source\": 4, \"target\": 8}, {\"weight\": 10882, \"source\": 5, \"target\": 7}, {\"weight\": 9930, \"source\": 5, \"target\": 6}, {\"weight\": 9663, \"source\": 5, \"target\": 8}, {\"weight\": 12299, \"source\": 6, \"target\": 7}, {\"weight\": 2847, \"source\": 6, \"target\": 8}, {\"weight\": 9891, \"source\": 7, \"target\": 8}]}", "id": 2409, "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\nProblem to Solve\n\n- Airports to visit: SPU, KRS, KBV, HOM, CNY, RBA, LMM, KHN, BLI\n- Travel distances (in kilometers) between each pair of airports:\nSPU to KHN: 8824\nSPU to HOM: 11640\nSPU to KBV: 9307\nSPU to RBA: 2426\nSPU to LMM: 10902\nSPU to BLI: 9277\nSPU to KRS: 1766\nSPU to CNY: 9664\nKRS to KHN: 8367\nKRS to HOM: 10073\nKRS to KBV: 9600\nKRS to RBA: 2915\nKRS to LMM: 9359\nKRS to BLI: 7710\nKRS to CNY: 8368\nKBV to KHN: 2953\nKBV to HOM: 15157\nKBV to RBA: 11545\nKBV to LMM: 15201\nKBV to BLI: 12794\nKBV to CNY: 14033\nHOM to KHN: 12254\nHOM to RBA: 11537\nHOM to LMM: 5205\nHOM to BLI: 2663\nHOM to CNY: 3895\nCNY to KHN: 11142\nCNY to RBA: 9193\nCNY to LMM: 2028\nCNY to BLI: 1551\nRBA to KHN: 10882\nRBA to LMM: 9930\nRBA to BLI: 9663\nLMM to KHN: 12299\nLMM to BLI: 2847\nKHN to BLI: 9891\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\nProblem to Solve\n\n- Airports to visit: DRK, URJ, PLX, VIE, PNK, LTD, ENE, ELU, BEJ\n- Travel distances (in kilometers) between each pair of airports:\nDRK to VIE: 10197\nDRK to URJ: 12836\nDRK to ELU: 9856\nDRK to PLX: 14345\nDRK to BEJ: 18689\nDRK to PNK: 18367\nDRK to ENE: 19609\nDRK to LTD: 10806\nURJ to VIE: 3531\nURJ to ELU: 5675\nURJ to PLX: 3268\nURJ to BEJ: 8906\nURJ to PNK: 8309\nURJ to ENE: 9821\nURJ to LTD: 5408\nPLX to VIE: 4839\nPLX to ELU: 6990\nPLX to BEJ: 8077\nPLX to PNK: 6978\nPLX to ENE: 8490\nPLX to LTD: 6734\nVIE to ELU: 2151\nVIE to BEJ: 11552\nVIE to PNK: 10586\nVIE to ENE: 12092\nVIE to LTD: 2177\nPNK to ELU: 12099\nPNK to BEJ: 1483\nPNK to ENE: 1962\nPNK to LTD: 11142\nLTD to ELU: 1921\nLTD to BEJ: 12269\nLTD to ENE: 12819\nENE to ELU: 13759\nENE to BEJ: 1955\nELU to BEJ: 13209\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]	{ "ground_truth": 50337, "style": "rule" }	{ "exact_answer": 50337, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"DRK\", \"id\": 0}, {\"name\": \"URJ\", \"id\": 1}, {\"name\": \"PLX\", \"id\": 2}, {\"name\": \"VIE\", \"id\": 3}, {\"name\": \"PNK\", \"id\": 4}, {\"name\": \"LTD\", \"id\": 5}, {\"name\": \"ENE\", \"id\": 6}, {\"name\": \"ELU\", \"id\": 7}, {\"name\": \"BEJ\", \"id\": 8}], \"links\": [{\"weight\": 10197, \"source\": 0, \"target\": 3}, {\"weight\": 12836, \"source\": 0, \"target\": 1}, {\"weight\": 9856, \"source\": 0, \"target\": 7}, {\"weight\": 14345, \"source\": 0, \"target\": 2}, {\"weight\": 18689, \"source\": 0, \"target\": 8}, {\"weight\": 18367, \"source\": 0, \"target\": 4}, {\"weight\": 19609, \"source\": 0, \"target\": 6}, {\"weight\": 10806, \"source\": 0, \"target\": 5}, {\"weight\": 3531, \"source\": 1, \"target\": 3}, {\"weight\": 5675, \"source\": 1, \"target\": 7}, {\"weight\": 3268, \"source\": 1, \"target\": 2}, {\"weight\": 8906, \"source\": 1, \"target\": 8}, {\"weight\": 8309, \"source\": 1, \"target\": 4}, {\"weight\": 9821, \"source\": 1, \"target\": 6}, {\"weight\": 5408, \"source\": 1, \"target\": 5}, {\"weight\": 4839, \"source\": 2, \"target\": 3}, {\"weight\": 6990, \"source\": 2, \"target\": 7}, {\"weight\": 8077, \"source\": 2, \"target\": 8}, {\"weight\": 6978, \"source\": 2, \"target\": 4}, {\"weight\": 8490, \"source\": 2, \"target\": 6}, {\"weight\": 6734, \"source\": 2, \"target\": 5}, {\"weight\": 2151, \"source\": 3, \"target\": 7}, {\"weight\": 11552, \"source\": 3, \"target\": 8}, {\"weight\": 10586, \"source\": 3, \"target\": 4}, {\"weight\": 12092, \"source\": 3, \"target\": 6}, {\"weight\": 2177, \"source\": 3, \"target\": 5}, {\"weight\": 12099, \"source\": 4, \"target\": 7}, {\"weight\": 1483, \"source\": 4, \"target\": 8}, {\"weight\": 1962, \"source\": 4, \"target\": 6}, {\"weight\": 11142, \"source\": 4, \"target\": 5}, {\"weight\": 1921, \"source\": 5, \"target\": 7}, {\"weight\": 12269, \"source\": 5, \"target\": 8}, {\"weight\": 12819, \"source\": 5, \"target\": 6}, {\"weight\": 13759, \"source\": 6, \"target\": 7}, {\"weight\": 1955, \"source\": 6, \"target\": 8}, {\"weight\": 13209, \"source\": 7, \"target\": 8}]}", "id": 2410, "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\nProblem to Solve\n\n- Airports to visit: DRK, URJ, PLX, VIE, PNK, LTD, ENE, ELU, BEJ\n- Travel distances (in kilometers) between each pair of airports:\nDRK to VIE: 10197\nDRK to URJ: 12836\nDRK to ELU: 9856\nDRK to PLX: 14345\nDRK to BEJ: 18689\nDRK to PNK: 18367\nDRK to ENE: 19609\nDRK to LTD: 10806\nURJ to VIE: 3531\nURJ to ELU: 5675\nURJ to PLX: 3268\nURJ to BEJ: 8906\nURJ to PNK: 8309\nURJ to ENE: 9821\nURJ to LTD: 5408\nPLX to VIE: 4839\nPLX to ELU: 6990\nPLX to BEJ: 8077\nPLX to PNK: 6978\nPLX to ENE: 8490\nPLX to LTD: 6734\nVIE to ELU: 2151\nVIE to BEJ: 11552\nVIE to PNK: 10586\nVIE to ENE: 12092\nVIE to LTD: 2177\nPNK to ELU: 12099\nPNK to BEJ: 1483\nPNK to ENE: 1962\nPNK to LTD: 11142\nLTD to ELU: 1921\nLTD to BEJ: 12269\nLTD to ENE: 12819\nENE to ELU: 13759\nENE to BEJ: 1955\nELU to BEJ: 13209\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\nProblem to Solve\n\n- Airports to visit: TRC, RST, MQN, EDA, CMW, GYA, PUG, PMO, YLW\n- Travel distances (in kilometers) between each pair of airports:\nTRC to YLW: 3550\nTRC to PMO: 10336\nTRC to GYA: 6985\nTRC to RST: 2516\nTRC to CMW: 2769\nTRC to EDA: 4428\nTRC to PUG: 15237\nTRC to MQN: 9101\nRST to YLW: 2209\nRST to PMO: 8366\nRST to GYA: 8084\nRST to CMW: 3595\nRST to EDA: 3595\nRST to PUG: 15966\nRST to MQN: 7282\nMQN to YLW: 7448\nMQN to PMO: 3163\nMQN to GYA: 13084\nMQN to CMW: 8631\nMQN to EDA: 9022\nMQN to PUG: 16121\nEDA to YLW: 1582\nEDA to PMO: 10747\nEDA to GYA: 11119\nEDA to CMW: 6559\nEDA to PUG: 14986\nCMW to YLW: 5498\nCMW to PMO: 9415\nCMW to GYA: 6009\nCMW to PUG: 17845\nGYA to YLW: 10058\nGYA to PMO: 11457\nGYA to PUG: 15547\nPUG to YLW: 14089\nPUG to PMO: 15715\nPMO to YLW: 9171\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]	{ "ground_truth": 58344, "style": "rule" }	{ "exact_answer": 58344, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"TRC\", \"id\": 0}, {\"name\": \"RST\", \"id\": 1}, {\"name\": \"MQN\", \"id\": 2}, {\"name\": \"EDA\", \"id\": 3}, {\"name\": \"CMW\", \"id\": 4}, {\"name\": \"GYA\", \"id\": 5}, {\"name\": \"PUG\", \"id\": 6}, {\"name\": \"PMO\", \"id\": 7}, {\"name\": \"YLW\", \"id\": 8}], \"links\": [{\"weight\": 3550, \"source\": 0, \"target\": 8}, {\"weight\": 10336, \"source\": 0, \"target\": 7}, {\"weight\": 6985, \"source\": 0, \"target\": 5}, {\"weight\": 2516, \"source\": 0, \"target\": 1}, {\"weight\": 2769, \"source\": 0, \"target\": 4}, {\"weight\": 4428, \"source\": 0, \"target\": 3}, {\"weight\": 15237, \"source\": 0, \"target\": 6}, {\"weight\": 9101, \"source\": 0, \"target\": 2}, {\"weight\": 2209, \"source\": 1, \"target\": 8}, {\"weight\": 8366, \"source\": 1, \"target\": 7}, {\"weight\": 8084, \"source\": 1, \"target\": 5}, {\"weight\": 3595, \"source\": 1, \"target\": 4}, {\"weight\": 3595, \"source\": 1, \"target\": 3}, {\"weight\": 15966, \"source\": 1, \"target\": 6}, {\"weight\": 7282, \"source\": 1, \"target\": 2}, {\"weight\": 7448, \"source\": 2, \"target\": 8}, {\"weight\": 3163, \"source\": 2, \"target\": 7}, {\"weight\": 13084, \"source\": 2, \"target\": 5}, {\"weight\": 8631, \"source\": 2, \"target\": 4}, {\"weight\": 9022, \"source\": 2, \"target\": 3}, {\"weight\": 16121, \"source\": 2, \"target\": 6}, {\"weight\": 1582, \"source\": 3, \"target\": 8}, {\"weight\": 10747, \"source\": 3, \"target\": 7}, {\"weight\": 11119, \"source\": 3, \"target\": 5}, {\"weight\": 6559, \"source\": 3, \"target\": 4}, {\"weight\": 14986, \"source\": 3, \"target\": 6}, {\"weight\": 5498, \"source\": 4, \"target\": 8}, {\"weight\": 9415, \"source\": 4, \"target\": 7}, {\"weight\": 6009, \"source\": 4, \"target\": 5}, {\"weight\": 17845, \"source\": 4, \"target\": 6}, {\"weight\": 10058, \"source\": 5, \"target\": 8}, {\"weight\": 11457, \"source\": 5, \"target\": 7}, {\"weight\": 15547, \"source\": 5, \"target\": 6}, {\"weight\": 14089, \"source\": 6, \"target\": 8}, {\"weight\": 15715, \"source\": 6, \"target\": 7}, {\"weight\": 9171, \"source\": 7, \"target\": 8}]}", "id": 2411, "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\nProblem to Solve\n\n- Airports to visit: TRC, RST, MQN, EDA, CMW, GYA, PUG, PMO, YLW\n- Travel distances (in kilometers) between each pair of airports:\nTRC to YLW: 3550\nTRC to PMO: 10336\nTRC to GYA: 6985\nTRC to RST: 2516\nTRC to CMW: 2769\nTRC to EDA: 4428\nTRC to PUG: 15237\nTRC to MQN: 9101\nRST to YLW: 2209\nRST to PMO: 8366\nRST to GYA: 8084\nRST to CMW: 3595\nRST to EDA: 3595\nRST to PUG: 15966\nRST to MQN: 7282\nMQN to YLW: 7448\nMQN to PMO: 3163\nMQN to GYA: 13084\nMQN to CMW: 8631\nMQN to EDA: 9022\nMQN to PUG: 16121\nEDA to YLW: 1582\nEDA to PMO: 10747\nEDA to GYA: 11119\nEDA to CMW: 6559\nEDA to PUG: 14986\nCMW to YLW: 5498\nCMW to PMO: 9415\nCMW to GYA: 6009\nCMW to PUG: 17845\nGYA to YLW: 10058\nGYA to PMO: 11457\nGYA to PUG: 15547\nPUG to YLW: 14089\nPUG to PMO: 15715\nPMO to YLW: 9171\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\nProblem to Solve\n\n- Airports to visit: FNJ, PLS, SYX, GRP, WNP, STZ, CAL, ODY, AGT\n- Travel distances (in kilometers) between each pair of airports:\nFNJ to SYX: 3244\nFNJ to WNP: 3614\nFNJ to PLS: 13779\nFNJ to CAL: 9268\nFNJ to AGT: 19017\nFNJ to ODY: 3911\nFNJ to GRP: 17993\nFNJ to STZ: 18624\nPLS to SYX: 15595\nPLS to WNP: 16015\nPLS to CAL: 7384\nPLS to AGT: 6354\nPLS to ODY: 16208\nPLS to GRP: 5781\nPLS to STZ: 6412\nSYX to WNP: 2055\nSYX to CAL: 10081\nSYX to AGT: 18847\nSYX to ODY: 1578\nSYX to GRP: 18812\nSYX to STZ: 19443\nGRP to WNP: 20022\nGRP to CAL: 9806\nGRP to AGT: 2213\nGRP to ODY: 18392\nGRP to STZ: 631\nWNP to CAL: 11394\nWNP to AGT: 19579\nWNP to ODY: 2832\nWNP to STZ: 20653\nSTZ to CAL: 10437\nSTZ to AGT: 2844\nSTZ to ODY: 19023\nCAL to AGT: 10809\nCAL to ODY: 10364\nODY to AGT: 18130\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]	{ "ground_truth": 51025, "style": "rule" }	{ "exact_answer": 51025, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"FNJ\", \"id\": 0}, {\"name\": \"PLS\", \"id\": 1}, {\"name\": \"SYX\", \"id\": 2}, {\"name\": \"GRP\", \"id\": 3}, {\"name\": \"WNP\", \"id\": 4}, {\"name\": \"STZ\", \"id\": 5}, {\"name\": \"CAL\", \"id\": 6}, {\"name\": \"ODY\", \"id\": 7}, {\"name\": \"AGT\", \"id\": 8}], \"links\": [{\"weight\": 3244, \"source\": 0, \"target\": 2}, {\"weight\": 3614, \"source\": 0, \"target\": 4}, {\"weight\": 13779, \"source\": 0, \"target\": 1}, {\"weight\": 9268, \"source\": 0, \"target\": 6}, {\"weight\": 19017, \"source\": 0, \"target\": 8}, {\"weight\": 3911, \"source\": 0, \"target\": 7}, {\"weight\": 17993, \"source\": 0, \"target\": 3}, {\"weight\": 18624, \"source\": 0, \"target\": 5}, {\"weight\": 15595, \"source\": 1, \"target\": 2}, {\"weight\": 16015, \"source\": 1, \"target\": 4}, {\"weight\": 7384, \"source\": 1, \"target\": 6}, {\"weight\": 6354, \"source\": 1, \"target\": 8}, {\"weight\": 16208, \"source\": 1, \"target\": 7}, {\"weight\": 5781, \"source\": 1, \"target\": 3}, {\"weight\": 6412, \"source\": 1, \"target\": 5}, {\"weight\": 2055, \"source\": 2, \"target\": 4}, {\"weight\": 10081, \"source\": 2, \"target\": 6}, {\"weight\": 18847, \"source\": 2, \"target\": 8}, {\"weight\": 1578, \"source\": 2, \"target\": 7}, {\"weight\": 18812, \"source\": 2, \"target\": 3}, {\"weight\": 19443, \"source\": 2, \"target\": 5}, {\"weight\": 20022, \"source\": 3, \"target\": 4}, {\"weight\": 9806, \"source\": 3, \"target\": 6}, {\"weight\": 2213, \"source\": 3, \"target\": 8}, {\"weight\": 18392, \"source\": 3, \"target\": 7}, {\"weight\": 631, \"source\": 3, \"target\": 5}, {\"weight\": 11394, \"source\": 4, \"target\": 6}, {\"weight\": 19579, \"source\": 4, \"target\": 8}, {\"weight\": 2832, \"source\": 4, \"target\": 7}, {\"weight\": 20653, \"source\": 4, \"target\": 5}, {\"weight\": 10437, \"source\": 5, \"target\": 6}, {\"weight\": 2844, \"source\": 5, \"target\": 8}, {\"weight\": 19023, \"source\": 5, \"target\": 7}, {\"weight\": 10809, \"source\": 6, \"target\": 8}, {\"weight\": 10364, \"source\": 6, \"target\": 7}, {\"weight\": 18130, \"source\": 7, \"target\": 8}]}", "id": 2412, "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\nProblem to Solve\n\n- Airports to visit: FNJ, PLS, SYX, GRP, WNP, STZ, CAL, ODY, AGT\n- Travel distances (in kilometers) between each pair of airports:\nFNJ to SYX: 3244\nFNJ to WNP: 3614\nFNJ to PLS: 13779\nFNJ to CAL: 9268\nFNJ to AGT: 19017\nFNJ to ODY: 3911\nFNJ to GRP: 17993\nFNJ to STZ: 18624\nPLS to SYX: 15595\nPLS to WNP: 16015\nPLS to CAL: 7384\nPLS to AGT: 6354\nPLS to ODY: 16208\nPLS to GRP: 5781\nPLS to STZ: 6412\nSYX to WNP: 2055\nSYX to CAL: 10081\nSYX to AGT: 18847\nSYX to ODY: 1578\nSYX to GRP: 18812\nSYX to STZ: 19443\nGRP to WNP: 20022\nGRP to CAL: 9806\nGRP to AGT: 2213\nGRP to ODY: 18392\nGRP to STZ: 631\nWNP to CAL: 11394\nWNP to AGT: 19579\nWNP to ODY: 2832\nWNP to STZ: 20653\nSTZ to CAL: 10437\nSTZ to AGT: 2844\nSTZ to ODY: 19023\nCAL to AGT: 10809\nCAL to ODY: 10364\nODY to AGT: 18130\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\nProblem to Solve\n\n- Airports to visit: WHK, HOR, QSF, MPM, TCG, POZ, VKT, NLD, BSD\n- Travel distances (in kilometers) between each pair of airports:\nWHK to POZ: 17864\nWHK to VKT: 16729\nWHK to QSF: 19676\nWHK to NLD: 14089\nWHK to BSD: 10920\nWHK to TCG: 13236\nWHK to MPM: 13829\nWHK to HOR: 18981\nHOR to POZ: 3925\nHOR to VKT: 6909\nHOR to QSF: 3003\nHOR to NLD: 8675\nHOR to BSD: 12069\nHOR to TCG: 9452\nHOR to MPM: 10097\nQSF to POZ: 2129\nQSF to VKT: 5324\nQSF to NLD: 10878\nQSF to BSD: 9876\nQSF to TCG: 7614\nQSF to MPM: 8517\nMPM to POZ: 9206\nMPM to VKT: 11044\nMPM to NLD: 16196\nMPM to BSD: 10692\nMPM to TCG: 10280\nTCG to POZ: 5606\nTCG to VKT: 4782\nTCG to NLD: 15777\nTCG to BSD: 3510\nPOZ to VKT: 3325\nPOZ to NLD: 10841\nPOZ to BSD: 8224\nVKT to NLD: 13081\nVKT to BSD: 7400\nNLD to BSD: 15802\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]	{ "ground_truth": 64034, "style": "rule" }	{ "exact_answer": 64034, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"WHK\", \"id\": 0}, {\"name\": \"HOR\", \"id\": 1}, {\"name\": \"QSF\", \"id\": 2}, {\"name\": \"MPM\", \"id\": 3}, {\"name\": \"TCG\", \"id\": 4}, {\"name\": \"POZ\", \"id\": 5}, {\"name\": \"VKT\", \"id\": 6}, {\"name\": \"NLD\", \"id\": 7}, {\"name\": \"BSD\", \"id\": 8}], \"links\": [{\"weight\": 17864, \"source\": 0, \"target\": 5}, {\"weight\": 16729, \"source\": 0, \"target\": 6}, {\"weight\": 19676, \"source\": 0, \"target\": 2}, {\"weight\": 14089, \"source\": 0, \"target\": 7}, {\"weight\": 10920, \"source\": 0, \"target\": 8}, {\"weight\": 13236, \"source\": 0, \"target\": 4}, {\"weight\": 13829, \"source\": 0, \"target\": 3}, {\"weight\": 18981, \"source\": 0, \"target\": 1}, {\"weight\": 3925, \"source\": 1, \"target\": 5}, {\"weight\": 6909, \"source\": 1, \"target\": 6}, {\"weight\": 3003, \"source\": 1, \"target\": 2}, {\"weight\": 8675, \"source\": 1, \"target\": 7}, {\"weight\": 12069, \"source\": 1, \"target\": 8}, {\"weight\": 9452, \"source\": 1, \"target\": 4}, {\"weight\": 10097, \"source\": 1, \"target\": 3}, {\"weight\": 2129, \"source\": 2, \"target\": 5}, {\"weight\": 5324, \"source\": 2, \"target\": 6}, {\"weight\": 10878, \"source\": 2, \"target\": 7}, {\"weight\": 9876, \"source\": 2, \"target\": 8}, {\"weight\": 7614, \"source\": 2, \"target\": 4}, {\"weight\": 8517, \"source\": 2, \"target\": 3}, {\"weight\": 9206, \"source\": 3, \"target\": 5}, {\"weight\": 11044, \"source\": 3, \"target\": 6}, {\"weight\": 16196, \"source\": 3, \"target\": 7}, {\"weight\": 10692, \"source\": 3, \"target\": 8}, {\"weight\": 10280, \"source\": 3, \"target\": 4}, {\"weight\": 5606, \"source\": 4, \"target\": 5}, {\"weight\": 4782, \"source\": 4, \"target\": 6}, {\"weight\": 15777, \"source\": 4, \"target\": 7}, {\"weight\": 3510, \"source\": 4, \"target\": 8}, {\"weight\": 3325, \"source\": 5, \"target\": 6}, {\"weight\": 10841, \"source\": 5, \"target\": 7}, {\"weight\": 8224, \"source\": 5, \"target\": 8}, {\"weight\": 13081, \"source\": 6, \"target\": 7}, {\"weight\": 7400, \"source\": 6, \"target\": 8}, {\"weight\": 15802, \"source\": 7, \"target\": 8}]}", "id": 2413, "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\nProblem to Solve\n\n- Airports to visit: WHK, HOR, QSF, MPM, TCG, POZ, VKT, NLD, BSD\n- Travel distances (in kilometers) between each pair of airports:\nWHK to POZ: 17864\nWHK to VKT: 16729\nWHK to QSF: 19676\nWHK to NLD: 14089\nWHK to BSD: 10920\nWHK to TCG: 13236\nWHK to MPM: 13829\nWHK to HOR: 18981\nHOR to POZ: 3925\nHOR to VKT: 6909\nHOR to QSF: 3003\nHOR to NLD: 8675\nHOR to BSD: 12069\nHOR to TCG: 9452\nHOR to MPM: 10097\nQSF to POZ: 2129\nQSF to VKT: 5324\nQSF to NLD: 10878\nQSF to BSD: 9876\nQSF to TCG: 7614\nQSF to MPM: 8517\nMPM to POZ: 9206\nMPM to VKT: 11044\nMPM to NLD: 16196\nMPM to BSD: 10692\nMPM to TCG: 10280\nTCG to POZ: 5606\nTCG to VKT: 4782\nTCG to NLD: 15777\nTCG to BSD: 3510\nPOZ to VKT: 3325\nPOZ to NLD: 10841\nPOZ to BSD: 8224\nVKT to NLD: 13081\nVKT to BSD: 7400\nNLD to BSD: 15802\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\nProblem to Solve\n\n- Airports to visit: CUC, HSV, ASO, MOV, CTU, MDE, FMO, ULV, HUU\n- Travel distances (in kilometers) between each pair of airports:\nCUC to MDE: 376\nCUC to HUU: 2544\nCUC to CTU: 16636\nCUC to ULV: 12065\nCUC to HSV: 3786\nCUC to FMO: 9593\nCUC to ASO: 14671\nCUC to MOV: 17378\nHSV to HUU: 5632\nHSV to CTU: 12940\nHSV to MDE: 3443\nHSV to ULV: 9491\nHSV to FMO: 7514\nHSV to ASO: 12996\nHSV to MOV: 15111\nASO to HUU: 14164\nASO to CTU: 7674\nASO to MDE: 14296\nASO to ULV: 6385\nASO to FMO: 6066\nASO to MOV: 13770\nMOV to HUU: 15443\nMOV to CTU: 7543\nMOV to MDE: 17192\nMOV to ULV: 12821\nMOV to FMO: 15326\nCTU to HUU: 18429\nCTU to MDE: 16289\nCTU to ULV: 5519\nCTU to FMO: 7798\nMDE to HUU: 2285\nMDE to ULV: 11697\nMDE to FMO: 9217\nFMO to HUU: 11182\nFMO to ULV: 2730\nULV to HUU: 13662\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]	{ "ground_truth": 53652, "style": "rule" }	{ "exact_answer": 53652, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"CUC\", \"id\": 0}, {\"name\": \"HSV\", \"id\": 1}, {\"name\": \"ASO\", \"id\": 2}, {\"name\": \"MOV\", \"id\": 3}, {\"name\": \"CTU\", \"id\": 4}, {\"name\": \"MDE\", \"id\": 5}, {\"name\": \"FMO\", \"id\": 6}, {\"name\": \"ULV\", \"id\": 7}, {\"name\": \"HUU\", \"id\": 8}], \"links\": [{\"weight\": 376, \"source\": 0, \"target\": 5}, {\"weight\": 2544, \"source\": 0, \"target\": 8}, {\"weight\": 16636, \"source\": 0, \"target\": 4}, {\"weight\": 12065, \"source\": 0, \"target\": 7}, {\"weight\": 3786, \"source\": 0, \"target\": 1}, {\"weight\": 9593, \"source\": 0, \"target\": 6}, {\"weight\": 14671, \"source\": 0, \"target\": 2}, {\"weight\": 17378, \"source\": 0, \"target\": 3}, {\"weight\": 5632, \"source\": 1, \"target\": 8}, {\"weight\": 12940, \"source\": 1, \"target\": 4}, {\"weight\": 3443, \"source\": 1, \"target\": 5}, {\"weight\": 9491, \"source\": 1, \"target\": 7}, {\"weight\": 7514, \"source\": 1, \"target\": 6}, {\"weight\": 12996, \"source\": 1, \"target\": 2}, {\"weight\": 15111, \"source\": 1, \"target\": 3}, {\"weight\": 14164, \"source\": 2, \"target\": 8}, {\"weight\": 7674, \"source\": 2, \"target\": 4}, {\"weight\": 14296, \"source\": 2, \"target\": 5}, {\"weight\": 6385, \"source\": 2, \"target\": 7}, {\"weight\": 6066, \"source\": 2, \"target\": 6}, {\"weight\": 13770, \"source\": 2, \"target\": 3}, {\"weight\": 15443, \"source\": 3, \"target\": 8}, {\"weight\": 7543, \"source\": 3, \"target\": 4}, {\"weight\": 17192, \"source\": 3, \"target\": 5}, {\"weight\": 12821, \"source\": 3, \"target\": 7}, {\"weight\": 15326, \"source\": 3, \"target\": 6}, {\"weight\": 18429, \"source\": 4, \"target\": 8}, {\"weight\": 16289, \"source\": 4, \"target\": 5}, {\"weight\": 5519, \"source\": 4, \"target\": 7}, {\"weight\": 7798, \"source\": 4, \"target\": 6}, {\"weight\": 2285, \"source\": 5, \"target\": 8}, {\"weight\": 11697, \"source\": 5, \"target\": 7}, {\"weight\": 9217, \"source\": 5, \"target\": 6}, {\"weight\": 11182, \"source\": 6, \"target\": 8}, {\"weight\": 2730, \"source\": 6, \"target\": 7}, {\"weight\": 13662, \"source\": 7, \"target\": 8}]}", "id": 2414, "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\nProblem to Solve\n\n- Airports to visit: CUC, HSV, ASO, MOV, CTU, MDE, FMO, ULV, HUU\n- Travel distances (in kilometers) between each pair of airports:\nCUC to MDE: 376\nCUC to HUU: 2544\nCUC to CTU: 16636\nCUC to ULV: 12065\nCUC to HSV: 3786\nCUC to FMO: 9593\nCUC to ASO: 14671\nCUC to MOV: 17378\nHSV to HUU: 5632\nHSV to CTU: 12940\nHSV to MDE: 3443\nHSV to ULV: 9491\nHSV to FMO: 7514\nHSV to ASO: 12996\nHSV to MOV: 15111\nASO to HUU: 14164\nASO to CTU: 7674\nASO to MDE: 14296\nASO to ULV: 6385\nASO to FMO: 6066\nASO to MOV: 13770\nMOV to HUU: 15443\nMOV to CTU: 7543\nMOV to MDE: 17192\nMOV to ULV: 12821\nMOV to FMO: 15326\nCTU to HUU: 18429\nCTU to MDE: 16289\nCTU to ULV: 5519\nCTU to FMO: 7798\nMDE to HUU: 2285\nMDE to ULV: 11697\nMDE to FMO: 9217\nFMO to HUU: 11182\nFMO to ULV: 2730\nULV to HUU: 13662\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\nProblem to Solve\n\n- Airports to visit: LET, SLI, LIR, IGU, GSM, VUS, SRX, GCN, GSE\n- Travel distances (in kilometers) between each pair of airports:\nLET to LIR: 2509\nLET to IGU: 5793\nLET to GSM: 14778\nLET to VUS: 12386\nLET to GSE: 10782\nLET to SRX: 11032\nLET to SLI: 14054\nLET to GCN: 6717\nSLI to LIR: 14377\nSLI to IGU: 9599\nSLI to GSM: 5582\nSLI to VUS: 9073\nSLI to GSE: 8833\nSLI to SRX: 7516\nSLI to GCN: 15684\nLIR to IGU: 5542\nLIR to GSM: 14309\nLIR to VUS: 11351\nLIR to GSE: 9718\nLIR to SRX: 10752\nLIR to GCN: 4286\nIGU to GSM: 13236\nIGU to VUS: 13217\nIGU to GSE: 11334\nIGU to SRX: 10685\nIGU to GCN: 9588\nGSM to VUS: 4732\nGSM to GSE: 5175\nGSM to SRX: 4593\nGSM to GCN: 13611\nVUS to GSE: 2206\nVUS to SRX: 4469\nVUS to GCN: 10196\nSRX to GSE: 3188\nSRX to GCN: 10996\nGCN to GSE: 8855\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]	{ "ground_truth": 47892, "style": "rule" }	{ "exact_answer": 47892, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"LET\", \"id\": 0}, {\"name\": \"SLI\", \"id\": 1}, {\"name\": \"LIR\", \"id\": 2}, {\"name\": \"IGU\", \"id\": 3}, {\"name\": \"GSM\", \"id\": 4}, {\"name\": \"VUS\", \"id\": 5}, {\"name\": \"SRX\", \"id\": 6}, {\"name\": \"GCN\", \"id\": 7}, {\"name\": \"GSE\", \"id\": 8}], \"links\": [{\"weight\": 2509, \"source\": 0, \"target\": 2}, {\"weight\": 5793, \"source\": 0, \"target\": 3}, {\"weight\": 14778, \"source\": 0, \"target\": 4}, {\"weight\": 12386, \"source\": 0, \"target\": 5}, {\"weight\": 10782, \"source\": 0, \"target\": 8}, {\"weight\": 11032, \"source\": 0, \"target\": 6}, {\"weight\": 14054, \"source\": 0, \"target\": 1}, {\"weight\": 6717, \"source\": 0, \"target\": 7}, {\"weight\": 14377, \"source\": 1, \"target\": 2}, {\"weight\": 9599, \"source\": 1, \"target\": 3}, {\"weight\": 5582, \"source\": 1, \"target\": 4}, {\"weight\": 9073, \"source\": 1, \"target\": 5}, {\"weight\": 8833, \"source\": 1, \"target\": 8}, {\"weight\": 7516, \"source\": 1, \"target\": 6}, {\"weight\": 15684, \"source\": 1, \"target\": 7}, {\"weight\": 5542, \"source\": 2, \"target\": 3}, {\"weight\": 14309, \"source\": 2, \"target\": 4}, {\"weight\": 11351, \"source\": 2, \"target\": 5}, {\"weight\": 9718, \"source\": 2, \"target\": 8}, {\"weight\": 10752, \"source\": 2, \"target\": 6}, {\"weight\": 4286, \"source\": 2, \"target\": 7}, {\"weight\": 13236, \"source\": 3, \"target\": 4}, {\"weight\": 13217, \"source\": 3, \"target\": 5}, {\"weight\": 11334, \"source\": 3, \"target\": 8}, {\"weight\": 10685, \"source\": 3, \"target\": 6}, {\"weight\": 9588, \"source\": 3, \"target\": 7}, {\"weight\": 4732, \"source\": 4, \"target\": 5}, {\"weight\": 5175, \"source\": 4, \"target\": 8}, {\"weight\": 4593, \"source\": 4, \"target\": 6}, {\"weight\": 13611, \"source\": 4, \"target\": 7}, {\"weight\": 2206, \"source\": 5, \"target\": 8}, {\"weight\": 4469, \"source\": 5, \"target\": 6}, {\"weight\": 10196, \"source\": 5, \"target\": 7}, {\"weight\": 3188, \"source\": 6, \"target\": 8}, {\"weight\": 10996, \"source\": 6, \"target\": 7}, {\"weight\": 8855, \"source\": 7, \"target\": 8}]}", "id": 2415, "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\nProblem to Solve\n\n- Airports to visit: LET, SLI, LIR, IGU, GSM, VUS, SRX, GCN, GSE\n- Travel distances (in kilometers) between each pair of airports:\nLET to LIR: 2509\nLET to IGU: 5793\nLET to GSM: 14778\nLET to VUS: 12386\nLET to GSE: 10782\nLET to SRX: 11032\nLET to SLI: 14054\nLET to GCN: 6717\nSLI to LIR: 14377\nSLI to IGU: 9599\nSLI to GSM: 5582\nSLI to VUS: 9073\nSLI to GSE: 8833\nSLI to SRX: 7516\nSLI to GCN: 15684\nLIR to IGU: 5542\nLIR to GSM: 14309\nLIR to VUS: 11351\nLIR to GSE: 9718\nLIR to SRX: 10752\nLIR to GCN: 4286\nIGU to GSM: 13236\nIGU to VUS: 13217\nIGU to GSE: 11334\nIGU to SRX: 10685\nIGU to GCN: 9588\nGSM to VUS: 4732\nGSM to GSE: 5175\nGSM to SRX: 4593\nGSM to GCN: 13611\nVUS to GSE: 2206\nVUS to SRX: 4469\nVUS to GCN: 10196\nSRX to GSE: 3188\nSRX to GCN: 10996\nGCN to GSE: 8855\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\nProblem to Solve\n\n- Airports to visit: CGH, PMZ, PZO, OSI, PGV, KUO, CMX, GGW, KUF\n- Travel distances (in kilometers) between each pair of airports:\nCGH to PMZ: 5989\nCGH to KUF: 12630\nCGH to GGW: 10463\nCGH to PZO: 4440\nCGH to PGV: 8053\nCGH to KUO: 11660\nCGH to OSI: 10206\nCGH to CMX: 9154\nPMZ to KUF: 11985\nPMZ to GGW: 5065\nPMZ to PZO: 2578\nPMZ to PGV: 3289\nPMZ to KUO: 10625\nPMZ to OSI: 10443\nPMZ to CMX: 4293\nPZO to KUF: 10922\nPZO to GGW: 6472\nPZO to PGV: 3962\nPZO to KUO: 9674\nPZO to OSI: 9052\nPZO to CMX: 5179\nOSI to KUF: 2918\nOSI to GGW: 9500\nOSI to PGV: 8299\nOSI to KUO: 2274\nOSI to CMX: 8476\nPGV to KUF: 9474\nPGV to GGW: 3324\nPGV to KUO: 8114\nPGV to CMX: 1867\nKUO to KUF: 2028\nKUO to GGW: 9539\nKUO to CMX: 8165\nCMX to KUF: 9513\nCMX to GGW: 2617\nGGW to KUF: 10899\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]	{ "ground_truth": 39482, "style": "rule" }	{ "exact_answer": 39482, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"CGH\", \"id\": 0}, {\"name\": \"PMZ\", \"id\": 1}, {\"name\": \"PZO\", \"id\": 2}, {\"name\": \"OSI\", \"id\": 3}, {\"name\": \"PGV\", \"id\": 4}, {\"name\": \"KUO\", \"id\": 5}, {\"name\": \"CMX\", \"id\": 6}, {\"name\": \"GGW\", \"id\": 7}, {\"name\": \"KUF\", \"id\": 8}], \"links\": [{\"weight\": 5989, \"source\": 0, \"target\": 1}, {\"weight\": 12630, \"source\": 0, \"target\": 8}, {\"weight\": 10463, \"source\": 0, \"target\": 7}, {\"weight\": 4440, \"source\": 0, \"target\": 2}, {\"weight\": 8053, \"source\": 0, \"target\": 4}, {\"weight\": 11660, \"source\": 0, \"target\": 5}, {\"weight\": 10206, \"source\": 0, \"target\": 3}, {\"weight\": 9154, \"source\": 0, \"target\": 6}, {\"weight\": 11985, \"source\": 1, \"target\": 8}, {\"weight\": 5065, \"source\": 1, \"target\": 7}, {\"weight\": 2578, \"source\": 1, \"target\": 2}, {\"weight\": 3289, \"source\": 1, \"target\": 4}, {\"weight\": 10625, \"source\": 1, \"target\": 5}, {\"weight\": 10443, \"source\": 1, \"target\": 3}, {\"weight\": 4293, \"source\": 1, \"target\": 6}, {\"weight\": 10922, \"source\": 2, \"target\": 8}, {\"weight\": 6472, \"source\": 2, \"target\": 7}, {\"weight\": 3962, \"source\": 2, \"target\": 4}, {\"weight\": 9674, \"source\": 2, \"target\": 5}, {\"weight\": 9052, \"source\": 2, \"target\": 3}, {\"weight\": 5179, \"source\": 2, \"target\": 6}, {\"weight\": 2918, \"source\": 3, \"target\": 8}, {\"weight\": 9500, \"source\": 3, \"target\": 7}, {\"weight\": 8299, \"source\": 3, \"target\": 4}, {\"weight\": 2274, \"source\": 3, \"target\": 5}, {\"weight\": 8476, \"source\": 3, \"target\": 6}, {\"weight\": 9474, \"source\": 4, \"target\": 8}, {\"weight\": 3324, \"source\": 4, \"target\": 7}, {\"weight\": 8114, \"source\": 4, \"target\": 5}, {\"weight\": 1867, \"source\": 4, \"target\": 6}, {\"weight\": 2028, \"source\": 5, \"target\": 8}, {\"weight\": 9539, \"source\": 5, \"target\": 7}, {\"weight\": 8165, \"source\": 5, \"target\": 6}, {\"weight\": 9513, \"source\": 6, \"target\": 8}, {\"weight\": 2617, \"source\": 6, \"target\": 7}, {\"weight\": 10899, \"source\": 7, \"target\": 8}]}", "id": 2416, "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\nProblem to Solve\n\n- Airports to visit: CGH, PMZ, PZO, OSI, PGV, KUO, CMX, GGW, KUF\n- Travel distances (in kilometers) between each pair of airports:\nCGH to PMZ: 5989\nCGH to KUF: 12630\nCGH to GGW: 10463\nCGH to PZO: 4440\nCGH to PGV: 8053\nCGH to KUO: 11660\nCGH to OSI: 10206\nCGH to CMX: 9154\nPMZ to KUF: 11985\nPMZ to GGW: 5065\nPMZ to PZO: 2578\nPMZ to PGV: 3289\nPMZ to KUO: 10625\nPMZ to OSI: 10443\nPMZ to CMX: 4293\nPZO to KUF: 10922\nPZO to GGW: 6472\nPZO to PGV: 3962\nPZO to KUO: 9674\nPZO to OSI: 9052\nPZO to CMX: 5179\nOSI to KUF: 2918\nOSI to GGW: 9500\nOSI to PGV: 8299\nOSI to KUO: 2274\nOSI to CMX: 8476\nPGV to KUF: 9474\nPGV to GGW: 3324\nPGV to KUO: 8114\nPGV to CMX: 1867\nKUO to KUF: 2028\nKUO to GGW: 9539\nKUO to CMX: 8165\nCMX to KUF: 9513\nCMX to GGW: 2617\nGGW to KUF: 10899\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\nProblem to Solve\n\n- Airports to visit: CCV, AIU, EWR, SCZ, ROS, TUC, KAJ, DOY, HOU\n- Travel distances (in kilometers) between each pair of airports:\nCCV to ROS: 13080\nCCV to EWR: 13962\nCCV to HOU: 12252\nCCV to TUC: 14270\nCCV to KAJ: 15959\nCCV to DOY: 9398\nCCV to AIU: 5637\nCCV to SCZ: 2091\nAIU to ROS: 10388\nAIU to EWR: 11697\nAIU to HOU: 9987\nAIU to TUC: 11578\nAIU to KAJ: 17479\nAIU to DOY: 12821\nAIU to SCZ: 7400\nEWR to HOU: 2269\nEWR to ROS: 8692\nEWR to TUC: 10037\nEWR to KAJ: 7082\nEWR to DOY: 11301\nEWR to SCZ: 15570\nSCZ to ROS: 14843\nSCZ to HOU: 13860\nSCZ to TUC: 16033\nSCZ to KAJ: 15386\nSCZ to DOY: 8597\nROS to HOU: 8412\nROS to TUC: 1355\nROS to KAJ: 13507\nROS to DOY: 19658\nTUC to HOU: 9763\nTUC to KAJ: 14509\nTUC to DOY: 20671\nKAJ to HOU: 9167\nKAJ to DOY: 7103\nDOY to HOU: 12035\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]	{ "ground_truth": 54124, "style": "rule" }	{ "exact_answer": 54124, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"CCV\", \"id\": 0}, {\"name\": \"AIU\", \"id\": 1}, {\"name\": \"EWR\", \"id\": 2}, {\"name\": \"SCZ\", \"id\": 3}, {\"name\": \"ROS\", \"id\": 4}, {\"name\": \"TUC\", \"id\": 5}, {\"name\": \"KAJ\", \"id\": 6}, {\"name\": \"DOY\", \"id\": 7}, {\"name\": \"HOU\", \"id\": 8}], \"links\": [{\"weight\": 13080, \"source\": 0, \"target\": 4}, {\"weight\": 13962, \"source\": 0, \"target\": 2}, {\"weight\": 12252, \"source\": 0, \"target\": 8}, {\"weight\": 14270, \"source\": 0, \"target\": 5}, {\"weight\": 15959, \"source\": 0, \"target\": 6}, {\"weight\": 9398, \"source\": 0, \"target\": 7}, {\"weight\": 5637, \"source\": 0, \"target\": 1}, {\"weight\": 2091, \"source\": 0, \"target\": 3}, {\"weight\": 10388, \"source\": 1, \"target\": 4}, {\"weight\": 11697, \"source\": 1, \"target\": 2}, {\"weight\": 9987, \"source\": 1, \"target\": 8}, {\"weight\": 11578, \"source\": 1, \"target\": 5}, {\"weight\": 17479, \"source\": 1, \"target\": 6}, {\"weight\": 12821, \"source\": 1, \"target\": 7}, {\"weight\": 7400, \"source\": 1, \"target\": 3}, {\"weight\": 2269, \"source\": 2, \"target\": 8}, {\"weight\": 8692, \"source\": 2, \"target\": 4}, {\"weight\": 10037, \"source\": 2, \"target\": 5}, {\"weight\": 7082, \"source\": 2, \"target\": 6}, {\"weight\": 11301, \"source\": 2, \"target\": 7}, {\"weight\": 15570, \"source\": 2, \"target\": 3}, {\"weight\": 14843, \"source\": 3, \"target\": 4}, {\"weight\": 13860, \"source\": 3, \"target\": 8}, {\"weight\": 16033, \"source\": 3, \"target\": 5}, {\"weight\": 15386, \"source\": 3, \"target\": 6}, {\"weight\": 8597, \"source\": 3, \"target\": 7}, {\"weight\": 8412, \"source\": 4, \"target\": 8}, {\"weight\": 1355, \"source\": 4, \"target\": 5}, {\"weight\": 13507, \"source\": 4, \"target\": 6}, {\"weight\": 19658, \"source\": 4, \"target\": 7}, {\"weight\": 9763, \"source\": 5, \"target\": 8}, {\"weight\": 14509, \"source\": 5, \"target\": 6}, {\"weight\": 20671, \"source\": 5, \"target\": 7}, {\"weight\": 9167, \"source\": 6, \"target\": 8}, {\"weight\": 7103, \"source\": 6, \"target\": 7}, {\"weight\": 12035, \"source\": 7, \"target\": 8}]}", "id": 2417, "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\nProblem to Solve\n\n- Airports to visit: CCV, AIU, EWR, SCZ, ROS, TUC, KAJ, DOY, HOU\n- Travel distances (in kilometers) between each pair of airports:\nCCV to ROS: 13080\nCCV to EWR: 13962\nCCV to HOU: 12252\nCCV to TUC: 14270\nCCV to KAJ: 15959\nCCV to DOY: 9398\nCCV to AIU: 5637\nCCV to SCZ: 2091\nAIU to ROS: 10388\nAIU to EWR: 11697\nAIU to HOU: 9987\nAIU to TUC: 11578\nAIU to KAJ: 17479\nAIU to DOY: 12821\nAIU to SCZ: 7400\nEWR to HOU: 2269\nEWR to ROS: 8692\nEWR to TUC: 10037\nEWR to KAJ: 7082\nEWR to DOY: 11301\nEWR to SCZ: 15570\nSCZ to ROS: 14843\nSCZ to HOU: 13860\nSCZ to TUC: 16033\nSCZ to KAJ: 15386\nSCZ to DOY: 8597\nROS to HOU: 8412\nROS to TUC: 1355\nROS to KAJ: 13507\nROS to DOY: 19658\nTUC to HOU: 9763\nTUC to KAJ: 14509\nTUC to DOY: 20671\nKAJ to HOU: 9167\nKAJ to DOY: 7103\nDOY to HOU: 12035\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\nProblem to Solve\n\n- Airports to visit: IAH, OGD, ABD, TJQ, IOT, UME, POS, OZZ, SGN\n- Travel distances (in kilometers) between each pair of airports:\nIAH to POS: 4124\nIAH to SGN: 14907\nIAH to OZZ: 8351\nIAH to UME: 8821\nIAH to ABD: 12962\nIAH to OGD: 3123\nIAH to TJQ: 16821\nIAH to IOT: 8472\nOGD to SGN: 14550\nOGD to POS: 7015\nOGD to OZZ: 10320\nOGD to UME: 10499\nOGD to ABD: 14513\nOGD to TJQ: 16395\nOGD to IOT: 10280\nABD to SGN: 6593\nABD to POS: 12240\nABD to OZZ: 6295\nABD to UME: 5160\nABD to TJQ: 7544\nABD to IOT: 8671\nTJQ to SGN: 1941\nTJQ to POS: 18681\nTJQ to OZZ: 12922\nTJQ to UME: 10818\nTJQ to IOT: 14613\nIOT to SGN: 13199\nIOT to POS: 9804\nIOT to OZZ: 6417\nIOT to UME: 4860\nUME to SGN: 9381\nUME to POS: 8929\nUME to OZZ: 4174\nPOS to SGN: 17297\nPOS to OZZ: 7508\nOZZ to SGN: 11805\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]	{ "ground_truth": 55056, "style": "rule" }	{ "exact_answer": 55056, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"IAH\", \"id\": 0}, {\"name\": \"OGD\", \"id\": 1}, {\"name\": \"ABD\", \"id\": 2}, {\"name\": \"TJQ\", \"id\": 3}, {\"name\": \"IOT\", \"id\": 4}, {\"name\": \"UME\", \"id\": 5}, {\"name\": \"POS\", \"id\": 6}, {\"name\": \"OZZ\", \"id\": 7}, {\"name\": \"SGN\", \"id\": 8}], \"links\": [{\"weight\": 4124, \"source\": 0, \"target\": 6}, {\"weight\": 14907, \"source\": 0, \"target\": 8}, {\"weight\": 8351, \"source\": 0, \"target\": 7}, {\"weight\": 8821, \"source\": 0, \"target\": 5}, {\"weight\": 12962, \"source\": 0, \"target\": 2}, {\"weight\": 3123, \"source\": 0, \"target\": 1}, {\"weight\": 16821, \"source\": 0, \"target\": 3}, {\"weight\": 8472, \"source\": 0, \"target\": 4}, {\"weight\": 14550, \"source\": 1, \"target\": 8}, {\"weight\": 7015, \"source\": 1, \"target\": 6}, {\"weight\": 10320, \"source\": 1, \"target\": 7}, {\"weight\": 10499, \"source\": 1, \"target\": 5}, {\"weight\": 14513, \"source\": 1, \"target\": 2}, {\"weight\": 16395, \"source\": 1, \"target\": 3}, {\"weight\": 10280, \"source\": 1, \"target\": 4}, {\"weight\": 6593, \"source\": 2, \"target\": 8}, {\"weight\": 12240, \"source\": 2, \"target\": 6}, {\"weight\": 6295, \"source\": 2, \"target\": 7}, {\"weight\": 5160, \"source\": 2, \"target\": 5}, {\"weight\": 7544, \"source\": 2, \"target\": 3}, {\"weight\": 8671, \"source\": 2, \"target\": 4}, {\"weight\": 1941, \"source\": 3, \"target\": 8}, {\"weight\": 18681, \"source\": 3, \"target\": 6}, {\"weight\": 12922, \"source\": 3, \"target\": 7}, {\"weight\": 10818, \"source\": 3, \"target\": 5}, {\"weight\": 14613, \"source\": 3, \"target\": 4}, {\"weight\": 13199, \"source\": 4, \"target\": 8}, {\"weight\": 9804, \"source\": 4, \"target\": 6}, {\"weight\": 6417, \"source\": 4, \"target\": 7}, {\"weight\": 4860, \"source\": 4, \"target\": 5}, {\"weight\": 9381, \"source\": 5, \"target\": 8}, {\"weight\": 8929, \"source\": 5, \"target\": 6}, {\"weight\": 4174, \"source\": 5, \"target\": 7}, {\"weight\": 17297, \"source\": 6, \"target\": 8}, {\"weight\": 7508, \"source\": 6, \"target\": 7}, {\"weight\": 11805, \"source\": 7, \"target\": 8}]}", "id": 2418, "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\nProblem to Solve\n\n- Airports to visit: IAH, OGD, ABD, TJQ, IOT, UME, POS, OZZ, SGN\n- Travel distances (in kilometers) between each pair of airports:\nIAH to POS: 4124\nIAH to SGN: 14907\nIAH to OZZ: 8351\nIAH to UME: 8821\nIAH to ABD: 12962\nIAH to OGD: 3123\nIAH to TJQ: 16821\nIAH to IOT: 8472\nOGD to SGN: 14550\nOGD to POS: 7015\nOGD to OZZ: 10320\nOGD to UME: 10499\nOGD to ABD: 14513\nOGD to TJQ: 16395\nOGD to IOT: 10280\nABD to SGN: 6593\nABD to POS: 12240\nABD to OZZ: 6295\nABD to UME: 5160\nABD to TJQ: 7544\nABD to IOT: 8671\nTJQ to SGN: 1941\nTJQ to POS: 18681\nTJQ to OZZ: 12922\nTJQ to UME: 10818\nTJQ to IOT: 14613\nIOT to SGN: 13199\nIOT to POS: 9804\nIOT to OZZ: 6417\nIOT to UME: 4860\nUME to SGN: 9381\nUME to POS: 8929\nUME to OZZ: 4174\nPOS to SGN: 17297\nPOS to OZZ: 7508\nOZZ to SGN: 11805\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\nProblem to Solve\n\n- Airports to visit: CTC, OSL, YNG, ATC, BWT, OMD, KHS, DIJ, PVC\n- Travel distances (in kilometers) between each pair of airports:\nCTC to OSL: 13319\nCTC to PVC: 10163\nCTC to YNG: 9910\nCTC to ATC: 8345\nCTC to BWT: 14497\nCTC to OMD: 11395\nCTC to DIJ: 12065\nCTC to KHS: 15486\nOSL to PVC: 5726\nOSL to YNG: 7673\nOSL to ATC: 7846\nOSL to BWT: 16352\nOSL to OMD: 9937\nOSL to DIJ: 2451\nOSL to KHS: 5804\nYNG to PVC: 2115\nYNG to ATC: 2179\nYNG to BWT: 17397\nYNG to OMD: 14339\nYNG to DIJ: 8463\nYNG to KHS: 13445\nATC to PVC: 2264\nATC to BWT: 17126\nATC to OMD: 13957\nATC to DIJ: 8532\nATC to KHS: 13338\nBWT to PVC: 17374\nBWT to OMD: 13237\nBWT to DIJ: 17772\nBWT to KHS: 12196\nOMD to PVC: 12665\nOMD to DIJ: 9049\nOMD to KHS: 7977\nKHS to PVC: 11474\nKHS to DIJ: 6450\nDIJ to PVC: 6577\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]	{ "ground_truth": 62977, "style": "rule" }	{ "exact_answer": 62977, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"CTC\", \"id\": 0}, {\"name\": \"OSL\", \"id\": 1}, {\"name\": \"YNG\", \"id\": 2}, {\"name\": \"ATC\", \"id\": 3}, {\"name\": \"BWT\", \"id\": 4}, {\"name\": \"OMD\", \"id\": 5}, {\"name\": \"KHS\", \"id\": 6}, {\"name\": \"DIJ\", \"id\": 7}, {\"name\": \"PVC\", \"id\": 8}], \"links\": [{\"weight\": 13319, \"source\": 0, \"target\": 1}, {\"weight\": 10163, \"source\": 0, \"target\": 8}, {\"weight\": 9910, \"source\": 0, \"target\": 2}, {\"weight\": 8345, \"source\": 0, \"target\": 3}, {\"weight\": 14497, \"source\": 0, \"target\": 4}, {\"weight\": 11395, \"source\": 0, \"target\": 5}, {\"weight\": 12065, \"source\": 0, \"target\": 7}, {\"weight\": 15486, \"source\": 0, \"target\": 6}, {\"weight\": 5726, \"source\": 1, \"target\": 8}, {\"weight\": 7673, \"source\": 1, \"target\": 2}, {\"weight\": 7846, \"source\": 1, \"target\": 3}, {\"weight\": 16352, \"source\": 1, \"target\": 4}, {\"weight\": 9937, \"source\": 1, \"target\": 5}, {\"weight\": 2451, \"source\": 1, \"target\": 7}, {\"weight\": 5804, \"source\": 1, \"target\": 6}, {\"weight\": 2115, \"source\": 2, \"target\": 8}, {\"weight\": 2179, \"source\": 2, \"target\": 3}, {\"weight\": 17397, \"source\": 2, \"target\": 4}, {\"weight\": 14339, \"source\": 2, \"target\": 5}, {\"weight\": 8463, \"source\": 2, \"target\": 7}, {\"weight\": 13445, \"source\": 2, \"target\": 6}, {\"weight\": 2264, \"source\": 3, \"target\": 8}, {\"weight\": 17126, \"source\": 3, \"target\": 4}, {\"weight\": 13957, \"source\": 3, \"target\": 5}, {\"weight\": 8532, \"source\": 3, \"target\": 7}, {\"weight\": 13338, \"source\": 3, \"target\": 6}, {\"weight\": 17374, \"source\": 4, \"target\": 8}, {\"weight\": 13237, \"source\": 4, \"target\": 5}, {\"weight\": 17772, \"source\": 4, \"target\": 7}, {\"weight\": 12196, \"source\": 4, \"target\": 6}, {\"weight\": 12665, \"source\": 5, \"target\": 8}, {\"weight\": 9049, \"source\": 5, \"target\": 7}, {\"weight\": 7977, \"source\": 5, \"target\": 6}, {\"weight\": 11474, \"source\": 6, \"target\": 8}, {\"weight\": 6450, \"source\": 6, \"target\": 7}, {\"weight\": 6577, \"source\": 7, \"target\": 8}]}", "id": 2419, "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\nProblem to Solve\n\n- Airports to visit: CTC, OSL, YNG, ATC, BWT, OMD, KHS, DIJ, PVC\n- Travel distances (in kilometers) between each pair of airports:\nCTC to OSL: 13319\nCTC to PVC: 10163\nCTC to YNG: 9910\nCTC to ATC: 8345\nCTC to BWT: 14497\nCTC to OMD: 11395\nCTC to DIJ: 12065\nCTC to KHS: 15486\nOSL to PVC: 5726\nOSL to YNG: 7673\nOSL to ATC: 7846\nOSL to BWT: 16352\nOSL to OMD: 9937\nOSL to DIJ: 2451\nOSL to KHS: 5804\nYNG to PVC: 2115\nYNG to ATC: 2179\nYNG to BWT: 17397\nYNG to OMD: 14339\nYNG to DIJ: 8463\nYNG to KHS: 13445\nATC to PVC: 2264\nATC to BWT: 17126\nATC to OMD: 13957\nATC to DIJ: 8532\nATC to KHS: 13338\nBWT to PVC: 17374\nBWT to OMD: 13237\nBWT to DIJ: 17772\nBWT to KHS: 12196\nOMD to PVC: 12665\nOMD to DIJ: 9049\nOMD to KHS: 7977\nKHS to PVC: 11474\nKHS to DIJ: 6450\nDIJ to PVC: 6577\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\nProblem to Solve\n\n- Airports to visit: ASJ, CTA, LBL, BZL, OME, KLN, PIP, CGR, ABV\n- Travel distances (in kilometers) between each pair of airports:\nASJ to KLN: 11769\nASJ to CGR: 19650\nASJ to BZL: 5581\nASJ to CTA: 11089\nASJ to OME: 12135\nASJ to ABV: 13722\nASJ to LBL: 11032\nASJ to PIP: 11866\nCTA to KLN: 12490\nCTA to CGR: 9974\nCTA to BZL: 7513\nCTA to OME: 12856\nCTA to ABV: 4435\nCTA to LBL: 9923\nCTA to PIP: 12587\nLBL to KLN: 4811\nLBL to CGR: 9536\nLBL to BZL: 14216\nLBL to OME: 5177\nLBL to ABV: 11878\nLBL to PIP: 4908\nBZL to KLN: 14987\nBZL to CGR: 16696\nBZL to OME: 15353\nBZL to ABV: 9035\nBZL to PIP: 15084\nOME to KLN: 1362\nOME to CGR: 13661\nOME to ABV: 15271\nOME to PIP: 1459\nKLN to CGR: 13295\nKLN to ABV: 14905\nKLN to PIP: 1093\nPIP to CGR: 13392\nPIP to ABV: 15002\nCGR to ABV: 7752\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]	{ "ground_truth": 54315, "style": "rule" }	{ "exact_answer": 54315, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"ASJ\", \"id\": 0}, {\"name\": \"CTA\", \"id\": 1}, {\"name\": \"LBL\", \"id\": 2}, {\"name\": \"BZL\", \"id\": 3}, {\"name\": \"OME\", \"id\": 4}, {\"name\": \"KLN\", \"id\": 5}, {\"name\": \"PIP\", \"id\": 6}, {\"name\": \"CGR\", \"id\": 7}, {\"name\": \"ABV\", \"id\": 8}], \"links\": [{\"weight\": 11769, \"source\": 0, \"target\": 5}, {\"weight\": 19650, \"source\": 0, \"target\": 7}, {\"weight\": 5581, \"source\": 0, \"target\": 3}, {\"weight\": 11089, \"source\": 0, \"target\": 1}, {\"weight\": 12135, \"source\": 0, \"target\": 4}, {\"weight\": 13722, \"source\": 0, \"target\": 8}, {\"weight\": 11032, \"source\": 0, \"target\": 2}, {\"weight\": 11866, \"source\": 0, \"target\": 6}, {\"weight\": 12490, \"source\": 1, \"target\": 5}, {\"weight\": 9974, \"source\": 1, \"target\": 7}, {\"weight\": 7513, \"source\": 1, \"target\": 3}, {\"weight\": 12856, \"source\": 1, \"target\": 4}, {\"weight\": 4435, \"source\": 1, \"target\": 8}, {\"weight\": 9923, \"source\": 1, \"target\": 2}, {\"weight\": 12587, \"source\": 1, \"target\": 6}, {\"weight\": 4811, \"source\": 2, \"target\": 5}, {\"weight\": 9536, \"source\": 2, \"target\": 7}, {\"weight\": 14216, \"source\": 2, \"target\": 3}, {\"weight\": 5177, \"source\": 2, \"target\": 4}, {\"weight\": 11878, \"source\": 2, \"target\": 8}, {\"weight\": 4908, \"source\": 2, \"target\": 6}, {\"weight\": 14987, \"source\": 3, \"target\": 5}, {\"weight\": 16696, \"source\": 3, \"target\": 7}, {\"weight\": 15353, \"source\": 3, \"target\": 4}, {\"weight\": 9035, \"source\": 3, \"target\": 8}, {\"weight\": 15084, \"source\": 3, \"target\": 6}, {\"weight\": 1362, \"source\": 4, \"target\": 5}, {\"weight\": 13661, \"source\": 4, \"target\": 7}, {\"weight\": 15271, \"source\": 4, \"target\": 8}, {\"weight\": 1459, \"source\": 4, \"target\": 6}, {\"weight\": 13295, \"source\": 5, \"target\": 7}, {\"weight\": 14905, \"source\": 5, \"target\": 8}, {\"weight\": 1093, \"source\": 5, \"target\": 6}, {\"weight\": 13392, \"source\": 6, \"target\": 7}, {\"weight\": 15002, \"source\": 6, \"target\": 8}, {\"weight\": 7752, \"source\": 7, \"target\": 8}]}", "id": 2420, "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\nProblem to Solve\n\n- Airports to visit: ASJ, CTA, LBL, BZL, OME, KLN, PIP, CGR, ABV\n- Travel distances (in kilometers) between each pair of airports:\nASJ to KLN: 11769\nASJ to CGR: 19650\nASJ to BZL: 5581\nASJ to CTA: 11089\nASJ to OME: 12135\nASJ to ABV: 13722\nASJ to LBL: 11032\nASJ to PIP: 11866\nCTA to KLN: 12490\nCTA to CGR: 9974\nCTA to BZL: 7513\nCTA to OME: 12856\nCTA to ABV: 4435\nCTA to LBL: 9923\nCTA to PIP: 12587\nLBL to KLN: 4811\nLBL to CGR: 9536\nLBL to BZL: 14216\nLBL to OME: 5177\nLBL to ABV: 11878\nLBL to PIP: 4908\nBZL to KLN: 14987\nBZL to CGR: 16696\nBZL to OME: 15353\nBZL to ABV: 9035\nBZL to PIP: 15084\nOME to KLN: 1362\nOME to CGR: 13661\nOME to ABV: 15271\nOME to PIP: 1459\nKLN to CGR: 13295\nKLN to ABV: 14905\nKLN to PIP: 1093\nPIP to CGR: 13392\nPIP to ABV: 15002\nCGR to ABV: 7752\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\nProblem to Solve\n\n- Airports to visit: DEC, BZN, TPQ, LFM, TVC, BLZ, YPX, ULK, CFB\n- Travel distances (in kilometers) between each pair of airports:\nDEC to ULK: 15877\nDEC to YPX: 2922\nDEC to TVC: 610\nDEC to CFB: 8722\nDEC to TPQ: 3122\nDEC to BZN: 2154\nDEC to LFM: 11767\nDEC to BLZ: 14407\nBZN to ULK: 14836\nBZN to YPX: 4019\nBZN to TVC: 2004\nBZN to CFB: 10437\nBZN to TPQ: 3816\nBZN to LFM: 12991\nBZN to BLZ: 16022\nTPQ to ULK: 17693\nTPQ to YPX: 5857\nTPQ to TVC: 3717\nTPQ to CFB: 8527\nTPQ to LFM: 14750\nTPQ to BLZ: 15875\nLFM to ULK: 8857\nLFM to YPX: 11341\nLFM to TVC: 11561\nLFM to CFB: 12780\nLFM to BLZ: 5489\nTVC to ULK: 15669\nTVC to YPX: 2647\nTVC to CFB: 8931\nTVC to BLZ: 14118\nBLZ to ULK: 13879\nBLZ to YPX: 14569\nBLZ to CFB: 9248\nYPX to ULK: 16310\nYPX to CFB: 10121\nULK to CFB: 19514\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]	{ "ground_truth": 57355, "style": "rule" }	{ "exact_answer": 57355, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"DEC\", \"id\": 0}, {\"name\": \"BZN\", \"id\": 1}, {\"name\": \"TPQ\", \"id\": 2}, {\"name\": \"LFM\", \"id\": 3}, {\"name\": \"TVC\", \"id\": 4}, {\"name\": \"BLZ\", \"id\": 5}, {\"name\": \"YPX\", \"id\": 6}, {\"name\": \"ULK\", \"id\": 7}, {\"name\": \"CFB\", \"id\": 8}], \"links\": [{\"weight\": 15877, \"source\": 0, \"target\": 7}, {\"weight\": 2922, \"source\": 0, \"target\": 6}, {\"weight\": 610, \"source\": 0, \"target\": 4}, {\"weight\": 8722, \"source\": 0, \"target\": 8}, {\"weight\": 3122, \"source\": 0, \"target\": 2}, {\"weight\": 2154, \"source\": 0, \"target\": 1}, {\"weight\": 11767, \"source\": 0, \"target\": 3}, {\"weight\": 14407, \"source\": 0, \"target\": 5}, {\"weight\": 14836, \"source\": 1, \"target\": 7}, {\"weight\": 4019, \"source\": 1, \"target\": 6}, {\"weight\": 2004, \"source\": 1, \"target\": 4}, {\"weight\": 10437, \"source\": 1, \"target\": 8}, {\"weight\": 3816, \"source\": 1, \"target\": 2}, {\"weight\": 12991, \"source\": 1, \"target\": 3}, {\"weight\": 16022, \"source\": 1, \"target\": 5}, {\"weight\": 17693, \"source\": 2, \"target\": 7}, {\"weight\": 5857, \"source\": 2, \"target\": 6}, {\"weight\": 3717, \"source\": 2, \"target\": 4}, {\"weight\": 8527, \"source\": 2, \"target\": 8}, {\"weight\": 14750, \"source\": 2, \"target\": 3}, {\"weight\": 15875, \"source\": 2, \"target\": 5}, {\"weight\": 8857, \"source\": 3, \"target\": 7}, {\"weight\": 11341, \"source\": 3, \"target\": 6}, {\"weight\": 11561, \"source\": 3, \"target\": 4}, {\"weight\": 12780, \"source\": 3, \"target\": 8}, {\"weight\": 5489, \"source\": 3, \"target\": 5}, {\"weight\": 15669, \"source\": 4, \"target\": 7}, {\"weight\": 2647, \"source\": 4, \"target\": 6}, {\"weight\": 8931, \"source\": 4, \"target\": 8}, {\"weight\": 14118, \"source\": 4, \"target\": 5}, {\"weight\": 13879, \"source\": 5, \"target\": 7}, {\"weight\": 14569, \"source\": 5, \"target\": 6}, {\"weight\": 9248, \"source\": 5, \"target\": 8}, {\"weight\": 16310, \"source\": 6, \"target\": 7}, {\"weight\": 10121, \"source\": 6, \"target\": 8}, {\"weight\": 19514, \"source\": 7, \"target\": 8}]}", "id": 2421, "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\nProblem to Solve\n\n- Airports to visit: DEC, BZN, TPQ, LFM, TVC, BLZ, YPX, ULK, CFB\n- Travel distances (in kilometers) between each pair of airports:\nDEC to ULK: 15877\nDEC to YPX: 2922\nDEC to TVC: 610\nDEC to CFB: 8722\nDEC to TPQ: 3122\nDEC to BZN: 2154\nDEC to LFM: 11767\nDEC to BLZ: 14407\nBZN to ULK: 14836\nBZN to YPX: 4019\nBZN to TVC: 2004\nBZN to CFB: 10437\nBZN to TPQ: 3816\nBZN to LFM: 12991\nBZN to BLZ: 16022\nTPQ to ULK: 17693\nTPQ to YPX: 5857\nTPQ to TVC: 3717\nTPQ to CFB: 8527\nTPQ to LFM: 14750\nTPQ to BLZ: 15875\nLFM to ULK: 8857\nLFM to YPX: 11341\nLFM to TVC: 11561\nLFM to CFB: 12780\nLFM to BLZ: 5489\nTVC to ULK: 15669\nTVC to YPX: 2647\nTVC to CFB: 8931\nTVC to BLZ: 14118\nBLZ to ULK: 13879\nBLZ to YPX: 14569\nBLZ to CFB: 9248\nYPX to ULK: 16310\nYPX to CFB: 10121\nULK to CFB: 19514\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\nProblem to Solve\n\n- Airports to visit: DNZ, AET, PPT, NJC, YUM, PEW, PIP, MFR, TRD\n- Travel distances (in kilometers) between each pair of airports:\nDNZ to NJC: 4266\nDNZ to AET: 13062\nDNZ to PPT: 18002\nDNZ to MFR: 10876\nDNZ to YUM: 11449\nDNZ to TRD: 3130\nDNZ to PEW: 4120\nDNZ to PIP: 13230\nAET to NJC: 14101\nAET to PPT: 9599\nAET to MFR: 3318\nAET to YUM: 4669\nAET to TRD: 10195\nAET to PEW: 15479\nAET to PIP: 1304\nPPT to NJC: 15027\nPPT to MFR: 7626\nPPT to YUM: 6992\nPPT to TRD: 15351\nPPT to PEW: 15626\nPPT to PIP: 9485\nNJC to MFR: 11915\nNJC to YUM: 12439\nNJC to TRD: 3965\nNJC to PEW: 3209\nNJC to PIP: 14269\nYUM to MFR: 1396\nYUM to TRD: 8582\nYUM to PEW: 13849\nYUM to PIP: 4746\nPEW to MFR: 13293\nPEW to TRD: 5411\nPEW to PIP: 15647\nPIP to MFR: 3429\nPIP to TRD: 10363\nMFR to TRD: 8009\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]	{ "ground_truth": 48802, "style": "rule" }	{ "exact_answer": 48802, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"DNZ\", \"id\": 0}, {\"name\": \"AET\", \"id\": 1}, {\"name\": \"PPT\", \"id\": 2}, {\"name\": \"NJC\", \"id\": 3}, {\"name\": \"YUM\", \"id\": 4}, {\"name\": \"PEW\", \"id\": 5}, {\"name\": \"PIP\", \"id\": 6}, {\"name\": \"MFR\", \"id\": 7}, {\"name\": \"TRD\", \"id\": 8}], \"links\": [{\"weight\": 4266, \"source\": 0, \"target\": 3}, {\"weight\": 13062, \"source\": 0, \"target\": 1}, {\"weight\": 18002, \"source\": 0, \"target\": 2}, {\"weight\": 10876, \"source\": 0, \"target\": 7}, {\"weight\": 11449, \"source\": 0, \"target\": 4}, {\"weight\": 3130, \"source\": 0, \"target\": 8}, {\"weight\": 4120, \"source\": 0, \"target\": 5}, {\"weight\": 13230, \"source\": 0, \"target\": 6}, {\"weight\": 14101, \"source\": 1, \"target\": 3}, {\"weight\": 9599, \"source\": 1, \"target\": 2}, {\"weight\": 3318, \"source\": 1, \"target\": 7}, {\"weight\": 4669, \"source\": 1, \"target\": 4}, {\"weight\": 10195, \"source\": 1, \"target\": 8}, {\"weight\": 15479, \"source\": 1, \"target\": 5}, {\"weight\": 1304, \"source\": 1, \"target\": 6}, {\"weight\": 15027, \"source\": 2, \"target\": 3}, {\"weight\": 7626, \"source\": 2, \"target\": 7}, {\"weight\": 6992, \"source\": 2, \"target\": 4}, {\"weight\": 15351, \"source\": 2, \"target\": 8}, {\"weight\": 15626, \"source\": 2, \"target\": 5}, {\"weight\": 9485, \"source\": 2, \"target\": 6}, {\"weight\": 11915, \"source\": 3, \"target\": 7}, {\"weight\": 12439, \"source\": 3, \"target\": 4}, {\"weight\": 3965, \"source\": 3, \"target\": 8}, {\"weight\": 3209, \"source\": 3, \"target\": 5}, {\"weight\": 14269, \"source\": 3, \"target\": 6}, {\"weight\": 1396, \"source\": 4, \"target\": 7}, {\"weight\": 8582, \"source\": 4, \"target\": 8}, {\"weight\": 13849, \"source\": 4, \"target\": 5}, {\"weight\": 4746, \"source\": 4, \"target\": 6}, {\"weight\": 13293, \"source\": 5, \"target\": 7}, {\"weight\": 5411, \"source\": 5, \"target\": 8}, {\"weight\": 15647, \"source\": 5, \"target\": 6}, {\"weight\": 3429, \"source\": 6, \"target\": 7}, {\"weight\": 10363, \"source\": 6, \"target\": 8}, {\"weight\": 8009, \"source\": 7, \"target\": 8}]}", "id": 2422, "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\nProblem to Solve\n\n- Airports to visit: DNZ, AET, PPT, NJC, YUM, PEW, PIP, MFR, TRD\n- Travel distances (in kilometers) between each pair of airports:\nDNZ to NJC: 4266\nDNZ to AET: 13062\nDNZ to PPT: 18002\nDNZ to MFR: 10876\nDNZ to YUM: 11449\nDNZ to TRD: 3130\nDNZ to PEW: 4120\nDNZ to PIP: 13230\nAET to NJC: 14101\nAET to PPT: 9599\nAET to MFR: 3318\nAET to YUM: 4669\nAET to TRD: 10195\nAET to PEW: 15479\nAET to PIP: 1304\nPPT to NJC: 15027\nPPT to MFR: 7626\nPPT to YUM: 6992\nPPT to TRD: 15351\nPPT to PEW: 15626\nPPT to PIP: 9485\nNJC to MFR: 11915\nNJC to YUM: 12439\nNJC to TRD: 3965\nNJC to PEW: 3209\nNJC to PIP: 14269\nYUM to MFR: 1396\nYUM to TRD: 8582\nYUM to PEW: 13849\nYUM to PIP: 4746\nPEW to MFR: 13293\nPEW to TRD: 5411\nPEW to PIP: 15647\nPIP to MFR: 3429\nPIP to TRD: 10363\nMFR to TRD: 8009\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\nProblem to Solve\n\n- Airports to visit: CEG, TBI, PLS, KVG, JKG, SKN, LIN, ANR, IXA\n- Travel distances (in kilometers) between each pair of airports:\nCEG to JKG: 1803\nCEG to LIN: 1301\nCEG to IXA: 8714\nCEG to PLS: 7586\nCEG to ANR: 1052\nCEG to KVG: 15916\nCEG to TBI: 7528\nCEG to SKN: 2409\nTBI to JKG: 8556\nTBI to LIN: 8175\nTBI to IXA: 15368\nTBI to PLS: 861\nTBI to ANR: 7821\nTBI to KVG: 17412\nTBI to SKN: 8340\nPLS to JKG: 8614\nPLS to LIN: 8072\nPLS to IXA: 15460\nPLS to ANR: 7879\nPLS to KVG: 17831\nPLS to SKN: 8398\nKVG to JKG: 14436\nKVG to LIN: 15265\nKVG to IXA: 8851\nKVG to ANR: 15839\nKVG to SKN: 15197\nJKG to LIN: 1909\nJKG to IXA: 7515\nJKG to ANR: 1721\nJKG to SKN: 1467\nSKN to LIN: 2602\nSKN to IXA: 8182\nSKN to ANR: 2526\nLIN to IXA: 7801\nLIN to ANR: 1262\nANR to IXA: 8632\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]	{ "ground_truth": 48582, "style": "rule" }	{ "exact_answer": 48582, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"CEG\", \"id\": 0}, {\"name\": \"TBI\", \"id\": 1}, {\"name\": \"PLS\", \"id\": 2}, {\"name\": \"KVG\", \"id\": 3}, {\"name\": \"JKG\", \"id\": 4}, {\"name\": \"SKN\", \"id\": 5}, {\"name\": \"LIN\", \"id\": 6}, {\"name\": \"ANR\", \"id\": 7}, {\"name\": \"IXA\", \"id\": 8}], \"links\": [{\"weight\": 1803, \"source\": 0, \"target\": 4}, {\"weight\": 1301, \"source\": 0, \"target\": 6}, {\"weight\": 8714, \"source\": 0, \"target\": 8}, {\"weight\": 7586, \"source\": 0, \"target\": 2}, {\"weight\": 1052, \"source\": 0, \"target\": 7}, {\"weight\": 15916, \"source\": 0, \"target\": 3}, {\"weight\": 7528, \"source\": 0, \"target\": 1}, {\"weight\": 2409, \"source\": 0, \"target\": 5}, {\"weight\": 8556, \"source\": 1, \"target\": 4}, {\"weight\": 8175, \"source\": 1, \"target\": 6}, {\"weight\": 15368, \"source\": 1, \"target\": 8}, {\"weight\": 861, \"source\": 1, \"target\": 2}, {\"weight\": 7821, \"source\": 1, \"target\": 7}, {\"weight\": 17412, \"source\": 1, \"target\": 3}, {\"weight\": 8340, \"source\": 1, \"target\": 5}, {\"weight\": 8614, \"source\": 2, \"target\": 4}, {\"weight\": 8072, \"source\": 2, \"target\": 6}, {\"weight\": 15460, \"source\": 2, \"target\": 8}, {\"weight\": 7879, \"source\": 2, \"target\": 7}, {\"weight\": 17831, \"source\": 2, \"target\": 3}, {\"weight\": 8398, \"source\": 2, \"target\": 5}, {\"weight\": 14436, \"source\": 3, \"target\": 4}, {\"weight\": 15265, \"source\": 3, \"target\": 6}, {\"weight\": 8851, \"source\": 3, \"target\": 8}, {\"weight\": 15839, \"source\": 3, \"target\": 7}, {\"weight\": 15197, \"source\": 3, \"target\": 5}, {\"weight\": 1909, \"source\": 4, \"target\": 6}, {\"weight\": 7515, \"source\": 4, \"target\": 8}, {\"weight\": 1721, \"source\": 4, \"target\": 7}, {\"weight\": 1467, \"source\": 4, \"target\": 5}, {\"weight\": 2602, \"source\": 5, \"target\": 6}, {\"weight\": 8182, \"source\": 5, \"target\": 8}, {\"weight\": 2526, \"source\": 5, \"target\": 7}, {\"weight\": 7801, \"source\": 6, \"target\": 8}, {\"weight\": 1262, \"source\": 6, \"target\": 7}, {\"weight\": 8632, \"source\": 7, \"target\": 8}]}", "id": 2423, "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\nProblem to Solve\n\n- Airports to visit: CEG, TBI, PLS, KVG, JKG, SKN, LIN, ANR, IXA\n- Travel distances (in kilometers) between each pair of airports:\nCEG to JKG: 1803\nCEG to LIN: 1301\nCEG to IXA: 8714\nCEG to PLS: 7586\nCEG to ANR: 1052\nCEG to KVG: 15916\nCEG to TBI: 7528\nCEG to SKN: 2409\nTBI to JKG: 8556\nTBI to LIN: 8175\nTBI to IXA: 15368\nTBI to PLS: 861\nTBI to ANR: 7821\nTBI to KVG: 17412\nTBI to SKN: 8340\nPLS to JKG: 8614\nPLS to LIN: 8072\nPLS to IXA: 15460\nPLS to ANR: 7879\nPLS to KVG: 17831\nPLS to SKN: 8398\nKVG to JKG: 14436\nKVG to LIN: 15265\nKVG to IXA: 8851\nKVG to ANR: 15839\nKVG to SKN: 15197\nJKG to LIN: 1909\nJKG to IXA: 7515\nJKG to ANR: 1721\nJKG to SKN: 1467\nSKN to LIN: 2602\nSKN to IXA: 8182\nSKN to ANR: 2526\nLIN to IXA: 7801\nLIN to ANR: 1262\nANR to IXA: 8632\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\nProblem to Solve\n\n- Airports to visit: AFA, SBN, BOB, JIC, IXJ, KNS, RMF, SXR, PMR\n- Travel distances (in kilometers) between each pair of airports:\nAFA to RMF: 13450\nAFA to IXJ: 17213\nAFA to SXR: 17070\nAFA to SBN: 9985\nAFA to JIC: 19793\nAFA to PMR: 12088\nAFA to KNS: 14363\nAFA to BOB: 10319\nSBN to RMF: 10415\nSBN to IXJ: 12437\nSBN to SXR: 12294\nSBN to JIC: 12194\nSBN to PMR: 13796\nSBN to KNS: 15950\nSBN to BOB: 9804\nBOB to RMF: 19689\nBOB to IXJ: 16116\nBOB to SXR: 16250\nBOB to JIC: 13247\nBOB to PMR: 4725\nBOB to KNS: 7245\nJIC to RMF: 7626\nJIC to IXJ: 3585\nJIC to SXR: 3719\nJIC to PMR: 11642\nJIC to KNS: 9773\nIXJ to SXR: 143\nIXJ to RMF: 5417\nIXJ to PMR: 13299\nIXJ to KNS: 10955\nKNS to RMF: 14864\nKNS to SXR: 11089\nKNS to PMR: 2978\nRMF to SXR: 5274\nRMF to PMR: 17326\nSXR to PMR: 13433\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]	{ "ground_truth": 57197, "style": "rule" }	{ "exact_answer": 57197, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"AFA\", \"id\": 0}, {\"name\": \"SBN\", \"id\": 1}, {\"name\": \"BOB\", \"id\": 2}, {\"name\": \"JIC\", \"id\": 3}, {\"name\": \"IXJ\", \"id\": 4}, {\"name\": \"KNS\", \"id\": 5}, {\"name\": \"RMF\", \"id\": 6}, {\"name\": \"SXR\", \"id\": 7}, {\"name\": \"PMR\", \"id\": 8}], \"links\": [{\"weight\": 13450, \"source\": 0, \"target\": 6}, {\"weight\": 17213, \"source\": 0, \"target\": 4}, {\"weight\": 17070, \"source\": 0, \"target\": 7}, {\"weight\": 9985, \"source\": 0, \"target\": 1}, {\"weight\": 19793, \"source\": 0, \"target\": 3}, {\"weight\": 12088, \"source\": 0, \"target\": 8}, {\"weight\": 14363, \"source\": 0, \"target\": 5}, {\"weight\": 10319, \"source\": 0, \"target\": 2}, {\"weight\": 10415, \"source\": 1, \"target\": 6}, {\"weight\": 12437, \"source\": 1, \"target\": 4}, {\"weight\": 12294, \"source\": 1, \"target\": 7}, {\"weight\": 12194, \"source\": 1, \"target\": 3}, {\"weight\": 13796, \"source\": 1, \"target\": 8}, {\"weight\": 15950, \"source\": 1, \"target\": 5}, {\"weight\": 9804, \"source\": 1, \"target\": 2}, {\"weight\": 19689, \"source\": 2, \"target\": 6}, {\"weight\": 16116, \"source\": 2, \"target\": 4}, {\"weight\": 16250, \"source\": 2, \"target\": 7}, {\"weight\": 13247, \"source\": 2, \"target\": 3}, {\"weight\": 4725, \"source\": 2, \"target\": 8}, {\"weight\": 7245, \"source\": 2, \"target\": 5}, {\"weight\": 7626, \"source\": 3, \"target\": 6}, {\"weight\": 3585, \"source\": 3, \"target\": 4}, {\"weight\": 3719, \"source\": 3, \"target\": 7}, {\"weight\": 11642, \"source\": 3, \"target\": 8}, {\"weight\": 9773, \"source\": 3, \"target\": 5}, {\"weight\": 143, \"source\": 4, \"target\": 7}, {\"weight\": 5417, \"source\": 4, \"target\": 6}, {\"weight\": 13299, \"source\": 4, \"target\": 8}, {\"weight\": 10955, \"source\": 4, \"target\": 5}, {\"weight\": 14864, \"source\": 5, \"target\": 6}, {\"weight\": 11089, \"source\": 5, \"target\": 7}, {\"weight\": 2978, \"source\": 5, \"target\": 8}, {\"weight\": 5274, \"source\": 6, \"target\": 7}, {\"weight\": 17326, \"source\": 6, \"target\": 8}, {\"weight\": 13433, \"source\": 7, \"target\": 8}]}", "id": 2424, "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\nProblem to Solve\n\n- Airports to visit: AFA, SBN, BOB, JIC, IXJ, KNS, RMF, SXR, PMR\n- Travel distances (in kilometers) between each pair of airports:\nAFA to RMF: 13450\nAFA to IXJ: 17213\nAFA to SXR: 17070\nAFA to SBN: 9985\nAFA to JIC: 19793\nAFA to PMR: 12088\nAFA to KNS: 14363\nAFA to BOB: 10319\nSBN to RMF: 10415\nSBN to IXJ: 12437\nSBN to SXR: 12294\nSBN to JIC: 12194\nSBN to PMR: 13796\nSBN to KNS: 15950\nSBN to BOB: 9804\nBOB to RMF: 19689\nBOB to IXJ: 16116\nBOB to SXR: 16250\nBOB to JIC: 13247\nBOB to PMR: 4725\nBOB to KNS: 7245\nJIC to RMF: 7626\nJIC to IXJ: 3585\nJIC to SXR: 3719\nJIC to PMR: 11642\nJIC to KNS: 9773\nIXJ to SXR: 143\nIXJ to RMF: 5417\nIXJ to PMR: 13299\nIXJ to KNS: 10955\nKNS to RMF: 14864\nKNS to SXR: 11089\nKNS to PMR: 2978\nRMF to SXR: 5274\nRMF to PMR: 17326\nSXR to PMR: 13433\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\nProblem to Solve\n\n- Airports to visit: ECN, TLA, UYL, RNA, LEI, HYD, JNN, JNS, CUE\n- Travel distances (in kilometers) between each pair of airports:\nECN to HYD: 5108\nECN to TLA: 14000\nECN to LEI: 3410\nECN to CUE: 12382\nECN to JNN: 6908\nECN to JNS: 6815\nECN to RNA: 14581\nECN to UYL: 3817\nTLA to HYD: 16741\nTLA to LEI: 12395\nTLA to CUE: 10290\nTLA to JNN: 11090\nTLA to JNS: 10997\nTLA to RNA: 12843\nTLA to UYL: 16923\nUYL to HYD: 5840\nUYL to LEI: 6060\nUYL to CUE: 14882\nUYL to JNN: 9831\nUYL to JNS: 9738\nUYL to RNA: 15699\nRNA to HYD: 9871\nRNA to LEI: 17386\nRNA to CUE: 17069\nRNA to JNN: 18937\nRNA to JNS: 18844\nLEI to HYD: 8208\nLEI to CUE: 9197\nLEI to JNN: 5446\nLEI to JNS: 5353\nHYD to CUE: 17209\nHYD to JNN: 10909\nHYD to JNS: 10816\nJNN to CUE: 11003\nJNN to JNS: 99\nJNS to CUE: 10910\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]	{ "ground_truth": 62526, "style": "rule" }	{ "exact_answer": 62526, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"ECN\", \"id\": 0}, {\"name\": \"TLA\", \"id\": 1}, {\"name\": \"UYL\", \"id\": 2}, {\"name\": \"RNA\", \"id\": 3}, {\"name\": \"LEI\", \"id\": 4}, {\"name\": \"HYD\", \"id\": 5}, {\"name\": \"JNN\", \"id\": 6}, {\"name\": \"JNS\", \"id\": 7}, {\"name\": \"CUE\", \"id\": 8}], \"links\": [{\"weight\": 5108, \"source\": 0, \"target\": 5}, {\"weight\": 14000, \"source\": 0, \"target\": 1}, {\"weight\": 3410, \"source\": 0, \"target\": 4}, {\"weight\": 12382, \"source\": 0, \"target\": 8}, {\"weight\": 6908, \"source\": 0, \"target\": 6}, {\"weight\": 6815, \"source\": 0, \"target\": 7}, {\"weight\": 14581, \"source\": 0, \"target\": 3}, {\"weight\": 3817, \"source\": 0, \"target\": 2}, {\"weight\": 16741, \"source\": 1, \"target\": 5}, {\"weight\": 12395, \"source\": 1, \"target\": 4}, {\"weight\": 10290, \"source\": 1, \"target\": 8}, {\"weight\": 11090, \"source\": 1, \"target\": 6}, {\"weight\": 10997, \"source\": 1, \"target\": 7}, {\"weight\": 12843, \"source\": 1, \"target\": 3}, {\"weight\": 16923, \"source\": 1, \"target\": 2}, {\"weight\": 5840, \"source\": 2, \"target\": 5}, {\"weight\": 6060, \"source\": 2, \"target\": 4}, {\"weight\": 14882, \"source\": 2, \"target\": 8}, {\"weight\": 9831, \"source\": 2, \"target\": 6}, {\"weight\": 9738, \"source\": 2, \"target\": 7}, {\"weight\": 15699, \"source\": 2, \"target\": 3}, {\"weight\": 9871, \"source\": 3, \"target\": 5}, {\"weight\": 17386, \"source\": 3, \"target\": 4}, {\"weight\": 17069, \"source\": 3, \"target\": 8}, {\"weight\": 18937, \"source\": 3, \"target\": 6}, {\"weight\": 18844, \"source\": 3, \"target\": 7}, {\"weight\": 8208, \"source\": 4, \"target\": 5}, {\"weight\": 9197, \"source\": 4, \"target\": 8}, {\"weight\": 5446, \"source\": 4, \"target\": 6}, {\"weight\": 5353, \"source\": 4, \"target\": 7}, {\"weight\": 17209, \"source\": 5, \"target\": 8}, {\"weight\": 10909, \"source\": 5, \"target\": 6}, {\"weight\": 10816, \"source\": 5, \"target\": 7}, {\"weight\": 11003, \"source\": 6, \"target\": 8}, {\"weight\": 99, \"source\": 6, \"target\": 7}, {\"weight\": 10910, \"source\": 7, \"target\": 8}]}", "id": 2425, "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\nProblem to Solve\n\n- Airports to visit: ECN, TLA, UYL, RNA, LEI, HYD, JNN, JNS, CUE\n- Travel distances (in kilometers) between each pair of airports:\nECN to HYD: 5108\nECN to TLA: 14000\nECN to LEI: 3410\nECN to CUE: 12382\nECN to JNN: 6908\nECN to JNS: 6815\nECN to RNA: 14581\nECN to UYL: 3817\nTLA to HYD: 16741\nTLA to LEI: 12395\nTLA to CUE: 10290\nTLA to JNN: 11090\nTLA to JNS: 10997\nTLA to RNA: 12843\nTLA to UYL: 16923\nUYL to HYD: 5840\nUYL to LEI: 6060\nUYL to CUE: 14882\nUYL to JNN: 9831\nUYL to JNS: 9738\nUYL to RNA: 15699\nRNA to HYD: 9871\nRNA to LEI: 17386\nRNA to CUE: 17069\nRNA to JNN: 18937\nRNA to JNS: 18844\nLEI to HYD: 8208\nLEI to CUE: 9197\nLEI to JNN: 5446\nLEI to JNS: 5353\nHYD to CUE: 17209\nHYD to JNN: 10909\nHYD to JNS: 10816\nJNN to CUE: 11003\nJNN to JNS: 99\nJNS to CUE: 10910\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\nProblem to Solve\n\n- Airports to visit: IXB, CWB, CPX, DEE, OXB, SPD, YPH, UNG, BUX\n- Travel distances (in kilometers) between each pair of airports:\nIXB to OXB: 11297\nIXB to YPH: 13987\nIXB to SPD: 801\nIXB to CWB: 15863\nIXB to CPX: 14686\nIXB to BUX: 10571\nIXB to UNG: 8764\nIXB to DEE: 6342\nCWB to OXB: 6249\nCWB to YPH: 10000\nCWB to SPD: 16304\nCWB to CPX: 5662\nCWB to BUX: 9336\nCWB to UNG: 17273\nCWB to DEE: 19177\nCPX to OXB: 7731\nCPX to YPH: 4658\nCPX to SPD: 15246\nCPX to BUX: 13584\nCPX to UNG: 18558\nCPX to DEE: 15113\nDEE to OXB: 13805\nDEE to YPH: 12586\nDEE to SPD: 6242\nDEE to BUX: 15673\nDEE to UNG: 7477\nOXB to YPH: 8252\nOXB to SPD: 11785\nOXB to BUX: 5853\nOXB to UNG: 19375\nSPD to YPH: 14406\nSPD to BUX: 10875\nSPD to UNG: 8483\nYPH to BUX: 13913\nYPH to UNG: 16765\nUNG to BUX: 17857\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]	{ "ground_truth": 62340, "style": "rule" }	{ "exact_answer": 62340, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"IXB\", \"id\": 0}, {\"name\": \"CWB\", \"id\": 1}, {\"name\": \"CPX\", \"id\": 2}, {\"name\": \"DEE\", \"id\": 3}, {\"name\": \"OXB\", \"id\": 4}, {\"name\": \"SPD\", \"id\": 5}, {\"name\": \"YPH\", \"id\": 6}, {\"name\": \"UNG\", \"id\": 7}, {\"name\": \"BUX\", \"id\": 8}], \"links\": [{\"weight\": 11297, \"source\": 0, \"target\": 4}, {\"weight\": 13987, \"source\": 0, \"target\": 6}, {\"weight\": 801, \"source\": 0, \"target\": 5}, {\"weight\": 15863, \"source\": 0, \"target\": 1}, {\"weight\": 14686, \"source\": 0, \"target\": 2}, {\"weight\": 10571, \"source\": 0, \"target\": 8}, {\"weight\": 8764, \"source\": 0, \"target\": 7}, {\"weight\": 6342, \"source\": 0, \"target\": 3}, {\"weight\": 6249, \"source\": 1, \"target\": 4}, {\"weight\": 10000, \"source\": 1, \"target\": 6}, {\"weight\": 16304, \"source\": 1, \"target\": 5}, {\"weight\": 5662, \"source\": 1, \"target\": 2}, {\"weight\": 9336, \"source\": 1, \"target\": 8}, {\"weight\": 17273, \"source\": 1, \"target\": 7}, {\"weight\": 19177, \"source\": 1, \"target\": 3}, {\"weight\": 7731, \"source\": 2, \"target\": 4}, {\"weight\": 4658, \"source\": 2, \"target\": 6}, {\"weight\": 15246, \"source\": 2, \"target\": 5}, {\"weight\": 13584, \"source\": 2, \"target\": 8}, {\"weight\": 18558, \"source\": 2, \"target\": 7}, {\"weight\": 15113, \"source\": 2, \"target\": 3}, {\"weight\": 13805, \"source\": 3, \"target\": 4}, {\"weight\": 12586, \"source\": 3, \"target\": 6}, {\"weight\": 6242, \"source\": 3, \"target\": 5}, {\"weight\": 15673, \"source\": 3, \"target\": 8}, {\"weight\": 7477, \"source\": 3, \"target\": 7}, {\"weight\": 8252, \"source\": 4, \"target\": 6}, {\"weight\": 11785, \"source\": 4, \"target\": 5}, {\"weight\": 5853, \"source\": 4, \"target\": 8}, {\"weight\": 19375, \"source\": 4, \"target\": 7}, {\"weight\": 14406, \"source\": 5, \"target\": 6}, {\"weight\": 10875, \"source\": 5, \"target\": 8}, {\"weight\": 8483, \"source\": 5, \"target\": 7}, {\"weight\": 13913, \"source\": 6, \"target\": 8}, {\"weight\": 16765, \"source\": 6, \"target\": 7}, {\"weight\": 17857, \"source\": 7, \"target\": 8}]}", "id": 2426, "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\nProblem to Solve\n\n- Airports to visit: IXB, CWB, CPX, DEE, OXB, SPD, YPH, UNG, BUX\n- Travel distances (in kilometers) between each pair of airports:\nIXB to OXB: 11297\nIXB to YPH: 13987\nIXB to SPD: 801\nIXB to CWB: 15863\nIXB to CPX: 14686\nIXB to BUX: 10571\nIXB to UNG: 8764\nIXB to DEE: 6342\nCWB to OXB: 6249\nCWB to YPH: 10000\nCWB to SPD: 16304\nCWB to CPX: 5662\nCWB to BUX: 9336\nCWB to UNG: 17273\nCWB to DEE: 19177\nCPX to OXB: 7731\nCPX to YPH: 4658\nCPX to SPD: 15246\nCPX to BUX: 13584\nCPX to UNG: 18558\nCPX to DEE: 15113\nDEE to OXB: 13805\nDEE to YPH: 12586\nDEE to SPD: 6242\nDEE to BUX: 15673\nDEE to UNG: 7477\nOXB to YPH: 8252\nOXB to SPD: 11785\nOXB to BUX: 5853\nOXB to UNG: 19375\nSPD to YPH: 14406\nSPD to BUX: 10875\nSPD to UNG: 8483\nYPH to BUX: 13913\nYPH to UNG: 16765\nUNG to BUX: 17857\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\nProblem to Solve\n\n- Airports to visit: DZN, DDC, UST, JJN, AKX, VLV, TOY, CMX, TXK\n- Travel distances (in kilometers) between each pair of airports:\nDZN to JJN: 5243\nDZN to AKX: 2556\nDZN to VLV: 14455\nDZN to TXK: 13604\nDZN to TOY: 5978\nDZN to DDC: 13416\nDZN to UST: 13595\nDZN to CMX: 12602\nDDC to JJN: 12047\nDDC to AKX: 10987\nDDC to VLV: 5830\nDDC to TXK: 1791\nDDC to TOY: 10078\nDDC to UST: 4290\nDDC to CMX: 2472\nUST to JJN: 14269\nUST to AKX: 11166\nUST to VLV: 5595\nUST to TXK: 3727\nUST to TOY: 13006\nUST to CMX: 2978\nJJN to AKX: 6059\nJJN to VLV: 16471\nJJN to TXK: 12871\nJJN to TOY: 2256\nJJN to CMX: 12684\nAKX to VLV: 11943\nAKX to TXK: 11180\nAKX to TOY: 6794\nAKX to CMX: 10179\nVLV to TXK: 4655\nVLV to TOY: 14965\nVLV to CMX: 5069\nTOY to TXK: 10929\nTOY to CMX: 11229\nCMX to TXK: 2158\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]	{ "ground_truth": 44598, "style": "rule" }	{ "exact_answer": 44598, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"DZN\", \"id\": 0}, {\"name\": \"DDC\", \"id\": 1}, {\"name\": \"UST\", \"id\": 2}, {\"name\": \"JJN\", \"id\": 3}, {\"name\": \"AKX\", \"id\": 4}, {\"name\": \"VLV\", \"id\": 5}, {\"name\": \"TOY\", \"id\": 6}, {\"name\": \"CMX\", \"id\": 7}, {\"name\": \"TXK\", \"id\": 8}], \"links\": [{\"weight\": 5243, \"source\": 0, \"target\": 3}, {\"weight\": 2556, \"source\": 0, \"target\": 4}, {\"weight\": 14455, \"source\": 0, \"target\": 5}, {\"weight\": 13604, \"source\": 0, \"target\": 8}, {\"weight\": 5978, \"source\": 0, \"target\": 6}, {\"weight\": 13416, \"source\": 0, \"target\": 1}, {\"weight\": 13595, \"source\": 0, \"target\": 2}, {\"weight\": 12602, \"source\": 0, \"target\": 7}, {\"weight\": 12047, \"source\": 1, \"target\": 3}, {\"weight\": 10987, \"source\": 1, \"target\": 4}, {\"weight\": 5830, \"source\": 1, \"target\": 5}, {\"weight\": 1791, \"source\": 1, \"target\": 8}, {\"weight\": 10078, \"source\": 1, \"target\": 6}, {\"weight\": 4290, \"source\": 1, \"target\": 2}, {\"weight\": 2472, \"source\": 1, \"target\": 7}, {\"weight\": 14269, \"source\": 2, \"target\": 3}, {\"weight\": 11166, \"source\": 2, \"target\": 4}, {\"weight\": 5595, \"source\": 2, \"target\": 5}, {\"weight\": 3727, \"source\": 2, \"target\": 8}, {\"weight\": 13006, \"source\": 2, \"target\": 6}, {\"weight\": 2978, \"source\": 2, \"target\": 7}, {\"weight\": 6059, \"source\": 3, \"target\": 4}, {\"weight\": 16471, \"source\": 3, \"target\": 5}, {\"weight\": 12871, \"source\": 3, \"target\": 8}, {\"weight\": 2256, \"source\": 3, \"target\": 6}, {\"weight\": 12684, \"source\": 3, \"target\": 7}, {\"weight\": 11943, \"source\": 4, \"target\": 5}, {\"weight\": 11180, \"source\": 4, \"target\": 8}, {\"weight\": 6794, \"source\": 4, \"target\": 6}, {\"weight\": 10179, \"source\": 4, \"target\": 7}, {\"weight\": 4655, \"source\": 5, \"target\": 8}, {\"weight\": 14965, \"source\": 5, \"target\": 6}, {\"weight\": 5069, \"source\": 5, \"target\": 7}, {\"weight\": 10929, \"source\": 6, \"target\": 8}, {\"weight\": 11229, \"source\": 6, \"target\": 7}, {\"weight\": 2158, \"source\": 7, \"target\": 8}]}", "id": 2427, "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\nProblem to Solve\n\n- Airports to visit: DZN, DDC, UST, JJN, AKX, VLV, TOY, CMX, TXK\n- Travel distances (in kilometers) between each pair of airports:\nDZN to JJN: 5243\nDZN to AKX: 2556\nDZN to VLV: 14455\nDZN to TXK: 13604\nDZN to TOY: 5978\nDZN to DDC: 13416\nDZN to UST: 13595\nDZN to CMX: 12602\nDDC to JJN: 12047\nDDC to AKX: 10987\nDDC to VLV: 5830\nDDC to TXK: 1791\nDDC to TOY: 10078\nDDC to UST: 4290\nDDC to CMX: 2472\nUST to JJN: 14269\nUST to AKX: 11166\nUST to VLV: 5595\nUST to TXK: 3727\nUST to TOY: 13006\nUST to CMX: 2978\nJJN to AKX: 6059\nJJN to VLV: 16471\nJJN to TXK: 12871\nJJN to TOY: 2256\nJJN to CMX: 12684\nAKX to VLV: 11943\nAKX to TXK: 11180\nAKX to TOY: 6794\nAKX to CMX: 10179\nVLV to TXK: 4655\nVLV to TOY: 14965\nVLV to CMX: 5069\nTOY to TXK: 10929\nTOY to CMX: 11229\nCMX to TXK: 2158\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\nProblem to Solve\n\n- Airports to visit: NQU, SAE, EAM, MLB, BZV, EBH, TFN, CAI, SKD\n- Travel distances (in kilometers) between each pair of airports:\nNQU to SKD: 14148\nNQU to CAI: 11750\nNQU to MLB: 4466\nNQU to BZV: 11726\nNQU to EBH: 9451\nNQU to TFN: 7071\nNQU to SAE: 10751\nNQU to EAM: 13525\nSAE to SKD: 8247\nSAE to CAI: 7096\nSAE to MLB: 7986\nSAE to BZV: 10473\nSAE to EBH: 6090\nSAE to TFN: 6760\nSAE to EAM: 8973\nEAM to SKD: 4056\nEAM to CAI: 1928\nEAM to MLB: 12591\nEAM to BZV: 5122\nEAM to EBH: 4939\nEAM to TFN: 6454\nMLB to SKD: 11928\nMLB to CAI: 10668\nMLB to BZV: 11896\nMLB to EBH: 8533\nMLB to TFN: 7445\nBZV to SKD: 7969\nBZV to CAI: 5246\nBZV to EBH: 5529\nBZV to TFN: 5433\nEBH to SKD: 6262\nEBH to CAI: 3095\nEBH to TFN: 2433\nTFN to SKD: 7888\nTFN to CAI: 4679\nCAI to SKD: 3864\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]	{ "ground_truth": 46646, "style": "rule" }	{ "exact_answer": 46646, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"NQU\", \"id\": 0}, {\"name\": \"SAE\", \"id\": 1}, {\"name\": \"EAM\", \"id\": 2}, {\"name\": \"MLB\", \"id\": 3}, {\"name\": \"BZV\", \"id\": 4}, {\"name\": \"EBH\", \"id\": 5}, {\"name\": \"TFN\", \"id\": 6}, {\"name\": \"CAI\", \"id\": 7}, {\"name\": \"SKD\", \"id\": 8}], \"links\": [{\"weight\": 14148, \"source\": 0, \"target\": 8}, {\"weight\": 11750, \"source\": 0, \"target\": 7}, {\"weight\": 4466, \"source\": 0, \"target\": 3}, {\"weight\": 11726, \"source\": 0, \"target\": 4}, {\"weight\": 9451, \"source\": 0, \"target\": 5}, {\"weight\": 7071, \"source\": 0, \"target\": 6}, {\"weight\": 10751, \"source\": 0, \"target\": 1}, {\"weight\": 13525, \"source\": 0, \"target\": 2}, {\"weight\": 8247, \"source\": 1, \"target\": 8}, {\"weight\": 7096, \"source\": 1, \"target\": 7}, {\"weight\": 7986, \"source\": 1, \"target\": 3}, {\"weight\": 10473, \"source\": 1, \"target\": 4}, {\"weight\": 6090, \"source\": 1, \"target\": 5}, {\"weight\": 6760, \"source\": 1, \"target\": 6}, {\"weight\": 8973, \"source\": 1, \"target\": 2}, {\"weight\": 4056, \"source\": 2, \"target\": 8}, {\"weight\": 1928, \"source\": 2, \"target\": 7}, {\"weight\": 12591, \"source\": 2, \"target\": 3}, {\"weight\": 5122, \"source\": 2, \"target\": 4}, {\"weight\": 4939, \"source\": 2, \"target\": 5}, {\"weight\": 6454, \"source\": 2, \"target\": 6}, {\"weight\": 11928, \"source\": 3, \"target\": 8}, {\"weight\": 10668, \"source\": 3, \"target\": 7}, {\"weight\": 11896, \"source\": 3, \"target\": 4}, {\"weight\": 8533, \"source\": 3, \"target\": 5}, {\"weight\": 7445, \"source\": 3, \"target\": 6}, {\"weight\": 7969, \"source\": 4, \"target\": 8}, {\"weight\": 5246, \"source\": 4, \"target\": 7}, {\"weight\": 5529, \"source\": 4, \"target\": 5}, {\"weight\": 5433, \"source\": 4, \"target\": 6}, {\"weight\": 6262, \"source\": 5, \"target\": 8}, {\"weight\": 3095, \"source\": 5, \"target\": 7}, {\"weight\": 2433, \"source\": 5, \"target\": 6}, {\"weight\": 7888, \"source\": 6, \"target\": 8}, {\"weight\": 4679, \"source\": 6, \"target\": 7}, {\"weight\": 3864, \"source\": 7, \"target\": 8}]}", "id": 2428, "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\nProblem to Solve\n\n- Airports to visit: NQU, SAE, EAM, MLB, BZV, EBH, TFN, CAI, SKD\n- Travel distances (in kilometers) between each pair of airports:\nNQU to SKD: 14148\nNQU to CAI: 11750\nNQU to MLB: 4466\nNQU to BZV: 11726\nNQU to EBH: 9451\nNQU to TFN: 7071\nNQU to SAE: 10751\nNQU to EAM: 13525\nSAE to SKD: 8247\nSAE to CAI: 7096\nSAE to MLB: 7986\nSAE to BZV: 10473\nSAE to EBH: 6090\nSAE to TFN: 6760\nSAE to EAM: 8973\nEAM to SKD: 4056\nEAM to CAI: 1928\nEAM to MLB: 12591\nEAM to BZV: 5122\nEAM to EBH: 4939\nEAM to TFN: 6454\nMLB to SKD: 11928\nMLB to CAI: 10668\nMLB to BZV: 11896\nMLB to EBH: 8533\nMLB to TFN: 7445\nBZV to SKD: 7969\nBZV to CAI: 5246\nBZV to EBH: 5529\nBZV to TFN: 5433\nEBH to SKD: 6262\nEBH to CAI: 3095\nEBH to TFN: 2433\nTFN to SKD: 7888\nTFN to CAI: 4679\nCAI to SKD: 3864\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\nProblem to Solve\n\n- Airports to visit: FRO, HTN, BEY, SMA, SOW, NRL, MKQ, YAC, DSA\n- Travel distances (in kilometers) between each pair of airports:\nFRO to BEY: 3807\nFRO to DSA: 1952\nFRO to HTN: 6691\nFRO to SOW: 8141\nFRO to MKQ: 15115\nFRO to NRL: 941\nFRO to SMA: 3803\nFRO to YAC: 7161\nHTN to BEY: 5660\nHTN to DSA: 7216\nHTN to SOW: 14095\nHTN to MKQ: 10584\nHTN to NRL: 7379\nHTN to SMA: 9824\nHTN to YAC: 13551\nBEY to DSA: 3843\nBEY to SOW: 11643\nBEY to MKQ: 12759\nBEY to NRL: 4148\nBEY to SMA: 5438\nBEY to YAC: 10540\nSMA to DSA: 3329\nSMA to SOW: 7502\nSMA to MKQ: 18103\nSMA to NRL: 3525\nSMA to YAC: 5968\nSOW to DSA: 9051\nSOW to MKQ: 17924\nSOW to NRL: 8262\nSOW to YAC: 2611\nNRL to DSA: 1619\nNRL to MKQ: 15837\nNRL to YAC: 7048\nMKQ to DSA: 15712\nMKQ to YAC: 18194\nYAC to DSA: 7646\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]	{ "ground_truth": 52443, "style": "rule" }	{ "exact_answer": 52443, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"FRO\", \"id\": 0}, {\"name\": \"HTN\", \"id\": 1}, {\"name\": \"BEY\", \"id\": 2}, {\"name\": \"SMA\", \"id\": 3}, {\"name\": \"SOW\", \"id\": 4}, {\"name\": \"NRL\", \"id\": 5}, {\"name\": \"MKQ\", \"id\": 6}, {\"name\": \"YAC\", \"id\": 7}, {\"name\": \"DSA\", \"id\": 8}], \"links\": [{\"weight\": 3807, \"source\": 0, \"target\": 2}, {\"weight\": 1952, \"source\": 0, \"target\": 8}, {\"weight\": 6691, \"source\": 0, \"target\": 1}, {\"weight\": 8141, \"source\": 0, \"target\": 4}, {\"weight\": 15115, \"source\": 0, \"target\": 6}, {\"weight\": 941, \"source\": 0, \"target\": 5}, {\"weight\": 3803, \"source\": 0, \"target\": 3}, {\"weight\": 7161, \"source\": 0, \"target\": 7}, {\"weight\": 5660, \"source\": 1, \"target\": 2}, {\"weight\": 7216, \"source\": 1, \"target\": 8}, {\"weight\": 14095, \"source\": 1, \"target\": 4}, {\"weight\": 10584, \"source\": 1, \"target\": 6}, {\"weight\": 7379, \"source\": 1, \"target\": 5}, {\"weight\": 9824, \"source\": 1, \"target\": 3}, {\"weight\": 13551, \"source\": 1, \"target\": 7}, {\"weight\": 3843, \"source\": 2, \"target\": 8}, {\"weight\": 11643, \"source\": 2, \"target\": 4}, {\"weight\": 12759, \"source\": 2, \"target\": 6}, {\"weight\": 4148, \"source\": 2, \"target\": 5}, {\"weight\": 5438, \"source\": 2, \"target\": 3}, {\"weight\": 10540, \"source\": 2, \"target\": 7}, {\"weight\": 3329, \"source\": 3, \"target\": 8}, {\"weight\": 7502, \"source\": 3, \"target\": 4}, {\"weight\": 18103, \"source\": 3, \"target\": 6}, {\"weight\": 3525, \"source\": 3, \"target\": 5}, {\"weight\": 5968, \"source\": 3, \"target\": 7}, {\"weight\": 9051, \"source\": 4, \"target\": 8}, {\"weight\": 17924, \"source\": 4, \"target\": 6}, {\"weight\": 8262, \"source\": 4, \"target\": 5}, {\"weight\": 2611, \"source\": 4, \"target\": 7}, {\"weight\": 1619, \"source\": 5, \"target\": 8}, {\"weight\": 15837, \"source\": 5, \"target\": 6}, {\"weight\": 7048, \"source\": 5, \"target\": 7}, {\"weight\": 15712, \"source\": 6, \"target\": 8}, {\"weight\": 18194, \"source\": 6, \"target\": 7}, {\"weight\": 7646, \"source\": 7, \"target\": 8}]}", "id": 2429, "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\nProblem to Solve\n\n- Airports to visit: FRO, HTN, BEY, SMA, SOW, NRL, MKQ, YAC, DSA\n- Travel distances (in kilometers) between each pair of airports:\nFRO to BEY: 3807\nFRO to DSA: 1952\nFRO to HTN: 6691\nFRO to SOW: 8141\nFRO to MKQ: 15115\nFRO to NRL: 941\nFRO to SMA: 3803\nFRO to YAC: 7161\nHTN to BEY: 5660\nHTN to DSA: 7216\nHTN to SOW: 14095\nHTN to MKQ: 10584\nHTN to NRL: 7379\nHTN to SMA: 9824\nHTN to YAC: 13551\nBEY to DSA: 3843\nBEY to SOW: 11643\nBEY to MKQ: 12759\nBEY to NRL: 4148\nBEY to SMA: 5438\nBEY to YAC: 10540\nSMA to DSA: 3329\nSMA to SOW: 7502\nSMA to MKQ: 18103\nSMA to NRL: 3525\nSMA to YAC: 5968\nSOW to DSA: 9051\nSOW to MKQ: 17924\nSOW to NRL: 8262\nSOW to YAC: 2611\nNRL to DSA: 1619\nNRL to MKQ: 15837\nNRL to YAC: 7048\nMKQ to DSA: 15712\nMKQ to YAC: 18194\nYAC to DSA: 7646\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\nProblem to Solve\n\n- Airports to visit: AIT, YLC, YCB, TLN, JUU, YAC, YNS, JNN, CIH\n- Travel distances (in kilometers) between each pair of airports:\nAIT to YCB: 11851\nAIT to YLC: 13047\nAIT to TLN: 17613\nAIT to CIH: 13399\nAIT to JUU: 17171\nAIT to JNN: 16905\nAIT to YAC: 10853\nAIT to YNS: 12089\nYLC to YCB: 3279\nYLC to TLN: 7372\nYLC to CIH: 13272\nYLC to JUU: 8745\nYLC to JNN: 8479\nYLC to YAC: 3307\nYLC to YNS: 2019\nYCB to TLN: 9732\nYCB to CIH: 11691\nYCB to JUU: 9054\nYCB to JNN: 8788\nYCB to YAC: 3621\nYCB to YNS: 4821\nTLN to CIH: 9283\nTLN to JUU: 5215\nTLN to JNN: 4949\nTLN to YAC: 8081\nTLN to YNS: 6937\nJUU to CIH: 11539\nJUU to JNN: 1386\nJUU to YAC: 7794\nJUU to YNS: 7269\nYAC to CIH: 11445\nYAC to JNN: 7528\nYAC to YNS: 1652\nYNS to CIH: 12261\nYNS to JNN: 7003\nJNN to CIH: 11273\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]	{ "ground_truth": 55612, "style": "rule" }	{ "exact_answer": 55612, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"AIT\", \"id\": 0}, {\"name\": \"YLC\", \"id\": 1}, {\"name\": \"YCB\", \"id\": 2}, {\"name\": \"TLN\", \"id\": 3}, {\"name\": \"JUU\", \"id\": 4}, {\"name\": \"YAC\", \"id\": 5}, {\"name\": \"YNS\", \"id\": 6}, {\"name\": \"JNN\", \"id\": 7}, {\"name\": \"CIH\", \"id\": 8}], \"links\": [{\"weight\": 11851, \"source\": 0, \"target\": 2}, {\"weight\": 13047, \"source\": 0, \"target\": 1}, {\"weight\": 17613, \"source\": 0, \"target\": 3}, {\"weight\": 13399, \"source\": 0, \"target\": 8}, {\"weight\": 17171, \"source\": 0, \"target\": 4}, {\"weight\": 16905, \"source\": 0, \"target\": 7}, {\"weight\": 10853, \"source\": 0, \"target\": 5}, {\"weight\": 12089, \"source\": 0, \"target\": 6}, {\"weight\": 3279, \"source\": 1, \"target\": 2}, {\"weight\": 7372, \"source\": 1, \"target\": 3}, {\"weight\": 13272, \"source\": 1, \"target\": 8}, {\"weight\": 8745, \"source\": 1, \"target\": 4}, {\"weight\": 8479, \"source\": 1, \"target\": 7}, {\"weight\": 3307, \"source\": 1, \"target\": 5}, {\"weight\": 2019, \"source\": 1, \"target\": 6}, {\"weight\": 9732, \"source\": 2, \"target\": 3}, {\"weight\": 11691, \"source\": 2, \"target\": 8}, {\"weight\": 9054, \"source\": 2, \"target\": 4}, {\"weight\": 8788, \"source\": 2, \"target\": 7}, {\"weight\": 3621, \"source\": 2, \"target\": 5}, {\"weight\": 4821, \"source\": 2, \"target\": 6}, {\"weight\": 9283, \"source\": 3, \"target\": 8}, {\"weight\": 5215, \"source\": 3, \"target\": 4}, {\"weight\": 4949, \"source\": 3, \"target\": 7}, {\"weight\": 8081, \"source\": 3, \"target\": 5}, {\"weight\": 6937, \"source\": 3, \"target\": 6}, {\"weight\": 11539, \"source\": 4, \"target\": 8}, {\"weight\": 1386, \"source\": 4, \"target\": 7}, {\"weight\": 7794, \"source\": 4, \"target\": 5}, {\"weight\": 7269, \"source\": 4, \"target\": 6}, {\"weight\": 11445, \"source\": 5, \"target\": 8}, {\"weight\": 7528, \"source\": 5, \"target\": 7}, {\"weight\": 1652, \"source\": 5, \"target\": 6}, {\"weight\": 12261, \"source\": 6, \"target\": 8}, {\"weight\": 7003, \"source\": 6, \"target\": 7}, {\"weight\": 11273, \"source\": 7, \"target\": 8}]}", "id": 2430, "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\nProblem to Solve\n\n- Airports to visit: AIT, YLC, YCB, TLN, JUU, YAC, YNS, JNN, CIH\n- Travel distances (in kilometers) between each pair of airports:\nAIT to YCB: 11851\nAIT to YLC: 13047\nAIT to TLN: 17613\nAIT to CIH: 13399\nAIT to JUU: 17171\nAIT to JNN: 16905\nAIT to YAC: 10853\nAIT to YNS: 12089\nYLC to YCB: 3279\nYLC to TLN: 7372\nYLC to CIH: 13272\nYLC to JUU: 8745\nYLC to JNN: 8479\nYLC to YAC: 3307\nYLC to YNS: 2019\nYCB to TLN: 9732\nYCB to CIH: 11691\nYCB to JUU: 9054\nYCB to JNN: 8788\nYCB to YAC: 3621\nYCB to YNS: 4821\nTLN to CIH: 9283\nTLN to JUU: 5215\nTLN to JNN: 4949\nTLN to YAC: 8081\nTLN to YNS: 6937\nJUU to CIH: 11539\nJUU to JNN: 1386\nJUU to YAC: 7794\nJUU to YNS: 7269\nYAC to CIH: 11445\nYAC to JNN: 7528\nYAC to YNS: 1652\nYNS to CIH: 12261\nYNS to JNN: 7003\nJNN to CIH: 11273\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\nProblem to Solve\n\n- Airports to visit: LDY, ZUH, AXK, MCE, KHY, EBL, SNA, LJU, GHA\n- Travel distances (in kilometers) between each pair of airports:\nLDY to ZUH: 9890\nLDY to SNA: 9092\nLDY to LJU: 1810\nLDY to GHA: 2729\nLDY to EBL: 4396\nLDY to KHY: 5756\nLDY to AXK: 6499\nLDY to MCE: 9539\nZUH to SNA: 11790\nZUH to LJU: 9049\nZUH to GHA: 10611\nZUH to EBL: 6913\nZUH to KHY: 6962\nZUH to AXK: 7637\nZUH to MCE: 12147\nAXK to SNA: 14627\nAXK to LJU: 4702\nAXK to GHA: 5488\nAXK to EBL: 3046\nAXK to KHY: 3296\nAXK to MCE: 14950\nMCE to SNA: 1161\nMCE to LJU: 10342\nMCE to GHA: 10944\nMCE to EBL: 12466\nMCE to KHY: 13712\nKHY to SNA: 13849\nKHY to LJU: 3977\nKHY to GHA: 5191\nKHY to EBL: 2641\nEBL to SNA: 12385\nEBL to LJU: 2693\nEBL to GHA: 3919\nSNA to LJU: 9935\nSNA to GHA: 10656\nLJU to GHA: 2230\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]	{ "ground_truth": 43356, "style": "rule" }	{ "exact_answer": 43356, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"LDY\", \"id\": 0}, {\"name\": \"ZUH\", \"id\": 1}, {\"name\": \"AXK\", \"id\": 2}, {\"name\": \"MCE\", \"id\": 3}, {\"name\": \"KHY\", \"id\": 4}, {\"name\": \"EBL\", \"id\": 5}, {\"name\": \"SNA\", \"id\": 6}, {\"name\": \"LJU\", \"id\": 7}, {\"name\": \"GHA\", \"id\": 8}], \"links\": [{\"weight\": 9890, \"source\": 0, \"target\": 1}, {\"weight\": 9092, \"source\": 0, \"target\": 6}, {\"weight\": 1810, \"source\": 0, \"target\": 7}, {\"weight\": 2729, \"source\": 0, \"target\": 8}, {\"weight\": 4396, \"source\": 0, \"target\": 5}, {\"weight\": 5756, \"source\": 0, \"target\": 4}, {\"weight\": 6499, \"source\": 0, \"target\": 2}, {\"weight\": 9539, \"source\": 0, \"target\": 3}, {\"weight\": 11790, \"source\": 1, \"target\": 6}, {\"weight\": 9049, \"source\": 1, \"target\": 7}, {\"weight\": 10611, \"source\": 1, \"target\": 8}, {\"weight\": 6913, \"source\": 1, \"target\": 5}, {\"weight\": 6962, \"source\": 1, \"target\": 4}, {\"weight\": 7637, \"source\": 1, \"target\": 2}, {\"weight\": 12147, \"source\": 1, \"target\": 3}, {\"weight\": 14627, \"source\": 2, \"target\": 6}, {\"weight\": 4702, \"source\": 2, \"target\": 7}, {\"weight\": 5488, \"source\": 2, \"target\": 8}, {\"weight\": 3046, \"source\": 2, \"target\": 5}, {\"weight\": 3296, \"source\": 2, \"target\": 4}, {\"weight\": 14950, \"source\": 2, \"target\": 3}, {\"weight\": 1161, \"source\": 3, \"target\": 6}, {\"weight\": 10342, \"source\": 3, \"target\": 7}, {\"weight\": 10944, \"source\": 3, \"target\": 8}, {\"weight\": 12466, \"source\": 3, \"target\": 5}, {\"weight\": 13712, \"source\": 3, \"target\": 4}, {\"weight\": 13849, \"source\": 4, \"target\": 6}, {\"weight\": 3977, \"source\": 4, \"target\": 7}, {\"weight\": 5191, \"source\": 4, \"target\": 8}, {\"weight\": 2641, \"source\": 4, \"target\": 5}, {\"weight\": 12385, \"source\": 5, \"target\": 6}, {\"weight\": 2693, \"source\": 5, \"target\": 7}, {\"weight\": 3919, \"source\": 5, \"target\": 8}, {\"weight\": 9935, \"source\": 6, \"target\": 7}, {\"weight\": 10656, \"source\": 6, \"target\": 8}, {\"weight\": 2230, \"source\": 7, \"target\": 8}]}", "id": 2431, "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\nProblem to Solve\n\n- Airports to visit: LDY, ZUH, AXK, MCE, KHY, EBL, SNA, LJU, GHA\n- Travel distances (in kilometers) between each pair of airports:\nLDY to ZUH: 9890\nLDY to SNA: 9092\nLDY to LJU: 1810\nLDY to GHA: 2729\nLDY to EBL: 4396\nLDY to KHY: 5756\nLDY to AXK: 6499\nLDY to MCE: 9539\nZUH to SNA: 11790\nZUH to LJU: 9049\nZUH to GHA: 10611\nZUH to EBL: 6913\nZUH to KHY: 6962\nZUH to AXK: 7637\nZUH to MCE: 12147\nAXK to SNA: 14627\nAXK to LJU: 4702\nAXK to GHA: 5488\nAXK to EBL: 3046\nAXK to KHY: 3296\nAXK to MCE: 14950\nMCE to SNA: 1161\nMCE to LJU: 10342\nMCE to GHA: 10944\nMCE to EBL: 12466\nMCE to KHY: 13712\nKHY to SNA: 13849\nKHY to LJU: 3977\nKHY to GHA: 5191\nKHY to EBL: 2641\nEBL to SNA: 12385\nEBL to LJU: 2693\nEBL to GHA: 3919\nSNA to LJU: 9935\nSNA to GHA: 10656\nLJU to GHA: 2230\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\nProblem to Solve\n\n- Airports to visit: SFJ, CYP, MGS, YQD, CNJ, CGO, FTU, GFF, BSD\n- Travel distances (in kilometers) between each pair of airports:\nSFJ to CGO: 11132\nSFJ to BSD: 11759\nSFJ to MGS: 16569\nSFJ to YQD: 7913\nSFJ to FTU: 13093\nSFJ to CNJ: 17701\nSFJ to CYP: 13583\nSFJ to GFF: 19834\nCYP to CGO: 2806\nCYP to BSD: 3134\nCYP to MGS: 11926\nCYP to YQD: 13177\nCYP to FTU: 10183\nCYP to CNJ: 5054\nCYP to GFF: 7202\nMGS to CGO: 13214\nMGS to BSD: 13930\nMGS to YQD: 10753\nMGS to FTU: 16138\nMGS to CNJ: 6999\nMGS to GFF: 5666\nYQD to CGO: 11540\nYQD to BSD: 13352\nYQD to FTU: 17192\nYQD to CNJ: 15771\nYQD to GFF: 15356\nCNJ to CGO: 6924\nCNJ to BSD: 7252\nCNJ to FTU: 11719\nCNJ to GFF: 2704\nCGO to BSD: 1865\nCGO to FTU: 10223\nCGO to GFF: 9023\nFTU to BSD: 9195\nFTU to GFF: 11414\nGFF to BSD: 9393\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]	{ "ground_truth": 59049, "style": "rule" }	{ "exact_answer": 59049, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"SFJ\", \"id\": 0}, {\"name\": \"CYP\", \"id\": 1}, {\"name\": \"MGS\", \"id\": 2}, {\"name\": \"YQD\", \"id\": 3}, {\"name\": \"CNJ\", \"id\": 4}, {\"name\": \"CGO\", \"id\": 5}, {\"name\": \"FTU\", \"id\": 6}, {\"name\": \"GFF\", \"id\": 7}, {\"name\": \"BSD\", \"id\": 8}], \"links\": [{\"weight\": 11132, \"source\": 0, \"target\": 5}, {\"weight\": 11759, \"source\": 0, \"target\": 8}, {\"weight\": 16569, \"source\": 0, \"target\": 2}, {\"weight\": 7913, \"source\": 0, \"target\": 3}, {\"weight\": 13093, \"source\": 0, \"target\": 6}, {\"weight\": 17701, \"source\": 0, \"target\": 4}, {\"weight\": 13583, \"source\": 0, \"target\": 1}, {\"weight\": 19834, \"source\": 0, \"target\": 7}, {\"weight\": 2806, \"source\": 1, \"target\": 5}, {\"weight\": 3134, \"source\": 1, \"target\": 8}, {\"weight\": 11926, \"source\": 1, \"target\": 2}, {\"weight\": 13177, \"source\": 1, \"target\": 3}, {\"weight\": 10183, \"source\": 1, \"target\": 6}, {\"weight\": 5054, \"source\": 1, \"target\": 4}, {\"weight\": 7202, \"source\": 1, \"target\": 7}, {\"weight\": 13214, \"source\": 2, \"target\": 5}, {\"weight\": 13930, \"source\": 2, \"target\": 8}, {\"weight\": 10753, \"source\": 2, \"target\": 3}, {\"weight\": 16138, \"source\": 2, \"target\": 6}, {\"weight\": 6999, \"source\": 2, \"target\": 4}, {\"weight\": 5666, \"source\": 2, \"target\": 7}, {\"weight\": 11540, \"source\": 3, \"target\": 5}, {\"weight\": 13352, \"source\": 3, \"target\": 8}, {\"weight\": 17192, \"source\": 3, \"target\": 6}, {\"weight\": 15771, \"source\": 3, \"target\": 4}, {\"weight\": 15356, \"source\": 3, \"target\": 7}, {\"weight\": 6924, \"source\": 4, \"target\": 5}, {\"weight\": 7252, \"source\": 4, \"target\": 8}, {\"weight\": 11719, \"source\": 4, \"target\": 6}, {\"weight\": 2704, \"source\": 4, \"target\": 7}, {\"weight\": 1865, \"source\": 5, \"target\": 8}, {\"weight\": 10223, \"source\": 5, \"target\": 6}, {\"weight\": 9023, \"source\": 5, \"target\": 7}, {\"weight\": 9195, \"source\": 6, \"target\": 8}, {\"weight\": 11414, \"source\": 6, \"target\": 7}, {\"weight\": 9393, \"source\": 7, \"target\": 8}]}", "id": 2432, "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\nProblem to Solve\n\n- Airports to visit: SFJ, CYP, MGS, YQD, CNJ, CGO, FTU, GFF, BSD\n- Travel distances (in kilometers) between each pair of airports:\nSFJ to CGO: 11132\nSFJ to BSD: 11759\nSFJ to MGS: 16569\nSFJ to YQD: 7913\nSFJ to FTU: 13093\nSFJ to CNJ: 17701\nSFJ to CYP: 13583\nSFJ to GFF: 19834\nCYP to CGO: 2806\nCYP to BSD: 3134\nCYP to MGS: 11926\nCYP to YQD: 13177\nCYP to FTU: 10183\nCYP to CNJ: 5054\nCYP to GFF: 7202\nMGS to CGO: 13214\nMGS to BSD: 13930\nMGS to YQD: 10753\nMGS to FTU: 16138\nMGS to CNJ: 6999\nMGS to GFF: 5666\nYQD to CGO: 11540\nYQD to BSD: 13352\nYQD to FTU: 17192\nYQD to CNJ: 15771\nYQD to GFF: 15356\nCNJ to CGO: 6924\nCNJ to BSD: 7252\nCNJ to FTU: 11719\nCNJ to GFF: 2704\nCGO to BSD: 1865\nCGO to FTU: 10223\nCGO to GFF: 9023\nFTU to BSD: 9195\nFTU to GFF: 11414\nGFF to BSD: 9393\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\nProblem to Solve\n\n- Airports to visit: OER, ZPB, TIA, YAX, SUR, EUN, BTS, RKV, GRO\n- Travel distances (in kilometers) between each pair of airports:\nOER to TIA: 2491\nOER to EUN: 4765\nOER to BTS: 1811\nOER to GRO: 2660\nOER to RKV: 5391\nOER to ZPB: 8333\nOER to SUR: 8283\nOER to YAX: 8297\nZPB to TIA: 9201\nZPB to EUN: 7872\nZPB to BTS: 8596\nZPB to GRO: 8305\nZPB to RKV: 8598\nZPB to SUR: 790\nZPB to YAX: 256\nTIA to EUN: 3458\nTIA to BTS: 1364\nTIA to GRO: 1456\nTIA to RKV: 6446\nTIA to SUR: 9151\nTIA to YAX: 9165\nYAX to EUN: 7836\nYAX to BTS: 8560\nYAX to GRO: 8269\nYAX to RKV: 8562\nYAX to SUR: 754\nSUR to EUN: 7822\nSUR to BTS: 8546\nSUR to GRO: 8255\nSUR to RKV: 8548\nEUN to BTS: 3519\nEUN to GRO: 2190\nEUN to RKV: 7590\nBTS to GRO: 1329\nBTS to RKV: 5711\nRKV to GRO: 5778\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]	{ "ground_truth": 29642, "style": "rule" }	{ "exact_answer": 29642, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"OER\", \"id\": 0}, {\"name\": \"ZPB\", \"id\": 1}, {\"name\": \"TIA\", \"id\": 2}, {\"name\": \"YAX\", \"id\": 3}, {\"name\": \"SUR\", \"id\": 4}, {\"name\": \"EUN\", \"id\": 5}, {\"name\": \"BTS\", \"id\": 6}, {\"name\": \"RKV\", \"id\": 7}, {\"name\": \"GRO\", \"id\": 8}], \"links\": [{\"weight\": 2491, \"source\": 0, \"target\": 2}, {\"weight\": 4765, \"source\": 0, \"target\": 5}, {\"weight\": 1811, \"source\": 0, \"target\": 6}, {\"weight\": 2660, \"source\": 0, \"target\": 8}, {\"weight\": 5391, \"source\": 0, \"target\": 7}, {\"weight\": 8333, \"source\": 0, \"target\": 1}, {\"weight\": 8283, \"source\": 0, \"target\": 4}, {\"weight\": 8297, \"source\": 0, \"target\": 3}, {\"weight\": 9201, \"source\": 1, \"target\": 2}, {\"weight\": 7872, \"source\": 1, \"target\": 5}, {\"weight\": 8596, \"source\": 1, \"target\": 6}, {\"weight\": 8305, \"source\": 1, \"target\": 8}, {\"weight\": 8598, \"source\": 1, \"target\": 7}, {\"weight\": 790, \"source\": 1, \"target\": 4}, {\"weight\": 256, \"source\": 1, \"target\": 3}, {\"weight\": 3458, \"source\": 2, \"target\": 5}, {\"weight\": 1364, \"source\": 2, \"target\": 6}, {\"weight\": 1456, \"source\": 2, \"target\": 8}, {\"weight\": 6446, \"source\": 2, \"target\": 7}, {\"weight\": 9151, \"source\": 2, \"target\": 4}, {\"weight\": 9165, \"source\": 2, \"target\": 3}, {\"weight\": 7836, \"source\": 3, \"target\": 5}, {\"weight\": 8560, \"source\": 3, \"target\": 6}, {\"weight\": 8269, \"source\": 3, \"target\": 8}, {\"weight\": 8562, \"source\": 3, \"target\": 7}, {\"weight\": 754, \"source\": 3, \"target\": 4}, {\"weight\": 7822, \"source\": 4, \"target\": 5}, {\"weight\": 8546, \"source\": 4, \"target\": 6}, {\"weight\": 8255, \"source\": 4, \"target\": 8}, {\"weight\": 8548, \"source\": 4, \"target\": 7}, {\"weight\": 3519, \"source\": 5, \"target\": 6}, {\"weight\": 2190, \"source\": 5, \"target\": 8}, {\"weight\": 7590, \"source\": 5, \"target\": 7}, {\"weight\": 1329, \"source\": 6, \"target\": 8}, {\"weight\": 5711, \"source\": 6, \"target\": 7}, {\"weight\": 5778, \"source\": 7, \"target\": 8}]}", "id": 2433, "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\nProblem to Solve\n\n- Airports to visit: OER, ZPB, TIA, YAX, SUR, EUN, BTS, RKV, GRO\n- Travel distances (in kilometers) between each pair of airports:\nOER to TIA: 2491\nOER to EUN: 4765\nOER to BTS: 1811\nOER to GRO: 2660\nOER to RKV: 5391\nOER to ZPB: 8333\nOER to SUR: 8283\nOER to YAX: 8297\nZPB to TIA: 9201\nZPB to EUN: 7872\nZPB to BTS: 8596\nZPB to GRO: 8305\nZPB to RKV: 8598\nZPB to SUR: 790\nZPB to YAX: 256\nTIA to EUN: 3458\nTIA to BTS: 1364\nTIA to GRO: 1456\nTIA to RKV: 6446\nTIA to SUR: 9151\nTIA to YAX: 9165\nYAX to EUN: 7836\nYAX to BTS: 8560\nYAX to GRO: 8269\nYAX to RKV: 8562\nYAX to SUR: 754\nSUR to EUN: 7822\nSUR to BTS: 8546\nSUR to GRO: 8255\nSUR to RKV: 8548\nEUN to BTS: 3519\nEUN to GRO: 2190\nEUN to RKV: 7590\nBTS to GRO: 1329\nBTS to RKV: 5711\nRKV to GRO: 5778\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\nProblem to Solve\n\n- Airports to visit: XSB, UTN, GBB, RSU, LMT, SHH, YXN, HOT, ADB\n- Travel distances (in kilometers) between each pair of airports:\nXSB to YXN: 13231\nXSB to SHH: 15608\nXSB to ADB: 3340\nXSB to HOT: 12982\nXSB to RSU: 7378\nXSB to UTN: 7443\nXSB to GBB: 5713\nXSB to LMT: 12819\nUTN to YXN: 17069\nUTN to SHH: 20316\nUTN to ADB: 8388\nUTN to HOT: 15138\nUTN to RSU: 13288\nUTN to GBB: 11624\nUTN to LMT: 17889\nGBB to YXN: 11758\nGBB to SHH: 14351\nGBB to ADB: 3842\nGBB to HOT: 10929\nGBB to RSU: 8796\nGBB to LMT: 11562\nRSU to YXN: 11850\nRSU to SHH: 12377\nRSU to ADB: 8661\nRSU to HOT: 12197\nRSU to LMT: 9588\nLMT to YXN: 3714\nLMT to SHH: 3922\nLMT to ADB: 10741\nLMT to HOT: 3397\nSHH to YXN: 6503\nSHH to ADB: 13546\nSHH to HOT: 6520\nYXN to ADB: 10037\nYXN to HOT: 3467\nHOT to ADB: 9902\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]	{ "ground_truth": 61460, "style": "rule" }	{ "exact_answer": 61460, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"XSB\", \"id\": 0}, {\"name\": \"UTN\", \"id\": 1}, {\"name\": \"GBB\", \"id\": 2}, {\"name\": \"RSU\", \"id\": 3}, {\"name\": \"LMT\", \"id\": 4}, {\"name\": \"SHH\", \"id\": 5}, {\"name\": \"YXN\", \"id\": 6}, {\"name\": \"HOT\", \"id\": 7}, {\"name\": \"ADB\", \"id\": 8}], \"links\": [{\"weight\": 13231, \"source\": 0, \"target\": 6}, {\"weight\": 15608, \"source\": 0, \"target\": 5}, {\"weight\": 3340, \"source\": 0, \"target\": 8}, {\"weight\": 12982, \"source\": 0, \"target\": 7}, {\"weight\": 7378, \"source\": 0, \"target\": 3}, {\"weight\": 7443, \"source\": 0, \"target\": 1}, {\"weight\": 5713, \"source\": 0, \"target\": 2}, {\"weight\": 12819, \"source\": 0, \"target\": 4}, {\"weight\": 17069, \"source\": 1, \"target\": 6}, {\"weight\": 20316, \"source\": 1, \"target\": 5}, {\"weight\": 8388, \"source\": 1, \"target\": 8}, {\"weight\": 15138, \"source\": 1, \"target\": 7}, {\"weight\": 13288, \"source\": 1, \"target\": 3}, {\"weight\": 11624, \"source\": 1, \"target\": 2}, {\"weight\": 17889, \"source\": 1, \"target\": 4}, {\"weight\": 11758, \"source\": 2, \"target\": 6}, {\"weight\": 14351, \"source\": 2, \"target\": 5}, {\"weight\": 3842, \"source\": 2, \"target\": 8}, {\"weight\": 10929, \"source\": 2, \"target\": 7}, {\"weight\": 8796, \"source\": 2, \"target\": 3}, {\"weight\": 11562, \"source\": 2, \"target\": 4}, {\"weight\": 11850, \"source\": 3, \"target\": 6}, {\"weight\": 12377, \"source\": 3, \"target\": 5}, {\"weight\": 8661, \"source\": 3, \"target\": 8}, {\"weight\": 12197, \"source\": 3, \"target\": 7}, {\"weight\": 9588, \"source\": 3, \"target\": 4}, {\"weight\": 3714, \"source\": 4, \"target\": 6}, {\"weight\": 3922, \"source\": 4, \"target\": 5}, {\"weight\": 10741, \"source\": 4, \"target\": 8}, {\"weight\": 3397, \"source\": 4, \"target\": 7}, {\"weight\": 6503, \"source\": 5, \"target\": 6}, {\"weight\": 13546, \"source\": 5, \"target\": 8}, {\"weight\": 6520, \"source\": 5, \"target\": 7}, {\"weight\": 10037, \"source\": 6, \"target\": 8}, {\"weight\": 3467, \"source\": 6, \"target\": 7}, {\"weight\": 9902, \"source\": 7, \"target\": 8}]}", "id": 2434, "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\nProblem to Solve\n\n- Airports to visit: XSB, UTN, GBB, RSU, LMT, SHH, YXN, HOT, ADB\n- Travel distances (in kilometers) between each pair of airports:\nXSB to YXN: 13231\nXSB to SHH: 15608\nXSB to ADB: 3340\nXSB to HOT: 12982\nXSB to RSU: 7378\nXSB to UTN: 7443\nXSB to GBB: 5713\nXSB to LMT: 12819\nUTN to YXN: 17069\nUTN to SHH: 20316\nUTN to ADB: 8388\nUTN to HOT: 15138\nUTN to RSU: 13288\nUTN to GBB: 11624\nUTN to LMT: 17889\nGBB to YXN: 11758\nGBB to SHH: 14351\nGBB to ADB: 3842\nGBB to HOT: 10929\nGBB to RSU: 8796\nGBB to LMT: 11562\nRSU to YXN: 11850\nRSU to SHH: 12377\nRSU to ADB: 8661\nRSU to HOT: 12197\nRSU to LMT: 9588\nLMT to YXN: 3714\nLMT to SHH: 3922\nLMT to ADB: 10741\nLMT to HOT: 3397\nSHH to YXN: 6503\nSHH to ADB: 13546\nSHH to HOT: 6520\nYXN to ADB: 10037\nYXN to HOT: 3467\nHOT to ADB: 9902\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\nProblem to Solve\n\n- Airports to visit: RAJ, TAC, MSU, MGM, JST, EJH, JNN, WLG, SGN\n- Travel distances (in kilometers) between each pair of airports:\nRAJ to SGN: 4164\nRAJ to TAC: 6201\nRAJ to MGM: 14389\nRAJ to WLG: 12853\nRAJ to JNN: 10958\nRAJ to MSU: 7755\nRAJ to EJH: 4507\nRAJ to JST: 13496\nTAC to SGN: 2176\nTAC to MGM: 14670\nTAC to WLG: 8133\nTAC to JNN: 13964\nTAC to MSU: 11605\nTAC to EJH: 9732\nTAC to JST: 14468\nMSU to SGN: 9936\nMSU to MGM: 14191\nMSU to WLG: 13625\nMSU to JNN: 13342\nMSU to EJH: 6390\nMSU to JST: 13682\nMGM to SGN: 15170\nMGM to WLG: 13947\nMGM to JNN: 7587\nMGM to EJH: 12253\nMGM to JST: 1286\nJST to SGN: 14701\nJST to WLG: 14831\nJST to JNN: 6685\nJST to EJH: 11354\nEJH to SGN: 7835\nEJH to WLG: 16288\nEJH to JNN: 9066\nJNN to SGN: 12956\nJNN to WLG: 19569\nWLG to SGN: 9072\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]	{ "ground_truth": 59602, "style": "rule" }	{ "exact_answer": 59602, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"RAJ\", \"id\": 0}, {\"name\": \"TAC\", \"id\": 1}, {\"name\": \"MSU\", \"id\": 2}, {\"name\": \"MGM\", \"id\": 3}, {\"name\": \"JST\", \"id\": 4}, {\"name\": \"EJH\", \"id\": 5}, {\"name\": \"JNN\", \"id\": 6}, {\"name\": \"WLG\", \"id\": 7}, {\"name\": \"SGN\", \"id\": 8}], \"links\": [{\"weight\": 4164, \"source\": 0, \"target\": 8}, {\"weight\": 6201, \"source\": 0, \"target\": 1}, {\"weight\": 14389, \"source\": 0, \"target\": 3}, {\"weight\": 12853, \"source\": 0, \"target\": 7}, {\"weight\": 10958, \"source\": 0, \"target\": 6}, {\"weight\": 7755, \"source\": 0, \"target\": 2}, {\"weight\": 4507, \"source\": 0, \"target\": 5}, {\"weight\": 13496, \"source\": 0, \"target\": 4}, {\"weight\": 2176, \"source\": 1, \"target\": 8}, {\"weight\": 14670, \"source\": 1, \"target\": 3}, {\"weight\": 8133, \"source\": 1, \"target\": 7}, {\"weight\": 13964, \"source\": 1, \"target\": 6}, {\"weight\": 11605, \"source\": 1, \"target\": 2}, {\"weight\": 9732, \"source\": 1, \"target\": 5}, {\"weight\": 14468, \"source\": 1, \"target\": 4}, {\"weight\": 9936, \"source\": 2, \"target\": 8}, {\"weight\": 14191, \"source\": 2, \"target\": 3}, {\"weight\": 13625, \"source\": 2, \"target\": 7}, {\"weight\": 13342, \"source\": 2, \"target\": 6}, {\"weight\": 6390, \"source\": 2, \"target\": 5}, {\"weight\": 13682, \"source\": 2, \"target\": 4}, {\"weight\": 15170, \"source\": 3, \"target\": 8}, {\"weight\": 13947, \"source\": 3, \"target\": 7}, {\"weight\": 7587, \"source\": 3, \"target\": 6}, {\"weight\": 12253, \"source\": 3, \"target\": 5}, {\"weight\": 1286, \"source\": 3, \"target\": 4}, {\"weight\": 14701, \"source\": 4, \"target\": 8}, {\"weight\": 14831, \"source\": 4, \"target\": 7}, {\"weight\": 6685, \"source\": 4, \"target\": 6}, {\"weight\": 11354, \"source\": 4, \"target\": 5}, {\"weight\": 7835, \"source\": 5, \"target\": 8}, {\"weight\": 16288, \"source\": 5, \"target\": 7}, {\"weight\": 9066, \"source\": 5, \"target\": 6}, {\"weight\": 12956, \"source\": 6, \"target\": 8}, {\"weight\": 19569, \"source\": 6, \"target\": 7}, {\"weight\": 9072, \"source\": 7, \"target\": 8}]}", "id": 2435, "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\nProblem to Solve\n\n- Airports to visit: RAJ, TAC, MSU, MGM, JST, EJH, JNN, WLG, SGN\n- Travel distances (in kilometers) between each pair of airports:\nRAJ to SGN: 4164\nRAJ to TAC: 6201\nRAJ to MGM: 14389\nRAJ to WLG: 12853\nRAJ to JNN: 10958\nRAJ to MSU: 7755\nRAJ to EJH: 4507\nRAJ to JST: 13496\nTAC to SGN: 2176\nTAC to MGM: 14670\nTAC to WLG: 8133\nTAC to JNN: 13964\nTAC to MSU: 11605\nTAC to EJH: 9732\nTAC to JST: 14468\nMSU to SGN: 9936\nMSU to MGM: 14191\nMSU to WLG: 13625\nMSU to JNN: 13342\nMSU to EJH: 6390\nMSU to JST: 13682\nMGM to SGN: 15170\nMGM to WLG: 13947\nMGM to JNN: 7587\nMGM to EJH: 12253\nMGM to JST: 1286\nJST to SGN: 14701\nJST to WLG: 14831\nJST to JNN: 6685\nJST to EJH: 11354\nEJH to SGN: 7835\nEJH to WLG: 16288\nEJH to JNN: 9066\nJNN to SGN: 12956\nJNN to WLG: 19569\nWLG to SGN: 9072\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\nProblem to Solve\n\n- Airports to visit: KLO, AEX, TCD, UBJ, VIE, YGV, ORI, CEM, KPV\n- Travel distances (in kilometers) between each pair of airports:\nKLO to ORI: 13773\nKLO to VIE: 10206\nKLO to CEM: 13680\nKLO to TCD: 18893\nKLO to AEX: 14177\nKLO to KPV: 14146\nKLO to UBJ: 3482\nKLO to YGV: 14967\nAEX to ORI: 5783\nAEX to VIE: 8825\nAEX to CEM: 5751\nAEX to TCD: 5133\nAEX to KPV: 6156\nAEX to UBJ: 11631\nAEX to YGV: 3358\nTCD to ORI: 10501\nTCD to VIE: 10920\nTCD to CEM: 10467\nTCD to KPV: 10874\nTCD to UBJ: 16348\nTCD to YGV: 6680\nUBJ to ORI: 11264\nUBJ to VIE: 8834\nUBJ to CEM: 11135\nUBJ to KPV: 11637\nUBJ to YGV: 12659\nVIE to ORI: 11555\nVIE to CEM: 11426\nVIE to KPV: 11928\nVIE to YGV: 6409\nYGV to ORI: 6952\nYGV to CEM: 7105\nYGV to KPV: 7325\nORI to CEM: 1015\nORI to KPV: 1235\nCEM to KPV: 1388\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]	{ "ground_truth": 51451, "style": "rule" }	{ "exact_answer": 51451, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"KLO\", \"id\": 0}, {\"name\": \"AEX\", \"id\": 1}, {\"name\": \"TCD\", \"id\": 2}, {\"name\": \"UBJ\", \"id\": 3}, {\"name\": \"VIE\", \"id\": 4}, {\"name\": \"YGV\", \"id\": 5}, {\"name\": \"ORI\", \"id\": 6}, {\"name\": \"CEM\", \"id\": 7}, {\"name\": \"KPV\", \"id\": 8}], \"links\": [{\"weight\": 13773, \"source\": 0, \"target\": 6}, {\"weight\": 10206, \"source\": 0, \"target\": 4}, {\"weight\": 13680, \"source\": 0, \"target\": 7}, {\"weight\": 18893, \"source\": 0, \"target\": 2}, {\"weight\": 14177, \"source\": 0, \"target\": 1}, {\"weight\": 14146, \"source\": 0, \"target\": 8}, {\"weight\": 3482, \"source\": 0, \"target\": 3}, {\"weight\": 14967, \"source\": 0, \"target\": 5}, {\"weight\": 5783, \"source\": 1, \"target\": 6}, {\"weight\": 8825, \"source\": 1, \"target\": 4}, {\"weight\": 5751, \"source\": 1, \"target\": 7}, {\"weight\": 5133, \"source\": 1, \"target\": 2}, {\"weight\": 6156, \"source\": 1, \"target\": 8}, {\"weight\": 11631, \"source\": 1, \"target\": 3}, {\"weight\": 3358, \"source\": 1, \"target\": 5}, {\"weight\": 10501, \"source\": 2, \"target\": 6}, {\"weight\": 10920, \"source\": 2, \"target\": 4}, {\"weight\": 10467, \"source\": 2, \"target\": 7}, {\"weight\": 10874, \"source\": 2, \"target\": 8}, {\"weight\": 16348, \"source\": 2, \"target\": 3}, {\"weight\": 6680, \"source\": 2, \"target\": 5}, {\"weight\": 11264, \"source\": 3, \"target\": 6}, {\"weight\": 8834, \"source\": 3, \"target\": 4}, {\"weight\": 11135, \"source\": 3, \"target\": 7}, {\"weight\": 11637, \"source\": 3, \"target\": 8}, {\"weight\": 12659, \"source\": 3, \"target\": 5}, {\"weight\": 11555, \"source\": 4, \"target\": 6}, {\"weight\": 11426, \"source\": 4, \"target\": 7}, {\"weight\": 11928, \"source\": 4, \"target\": 8}, {\"weight\": 6409, \"source\": 4, \"target\": 5}, {\"weight\": 6952, \"source\": 5, \"target\": 6}, {\"weight\": 7105, \"source\": 5, \"target\": 7}, {\"weight\": 7325, \"source\": 5, \"target\": 8}, {\"weight\": 1015, \"source\": 6, \"target\": 7}, {\"weight\": 1235, \"source\": 6, \"target\": 8}, {\"weight\": 1388, \"source\": 7, \"target\": 8}]}", "id": 2436, "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\nProblem to Solve\n\n- Airports to visit: KLO, AEX, TCD, UBJ, VIE, YGV, ORI, CEM, KPV\n- Travel distances (in kilometers) between each pair of airports:\nKLO to ORI: 13773\nKLO to VIE: 10206\nKLO to CEM: 13680\nKLO to TCD: 18893\nKLO to AEX: 14177\nKLO to KPV: 14146\nKLO to UBJ: 3482\nKLO to YGV: 14967\nAEX to ORI: 5783\nAEX to VIE: 8825\nAEX to CEM: 5751\nAEX to TCD: 5133\nAEX to KPV: 6156\nAEX to UBJ: 11631\nAEX to YGV: 3358\nTCD to ORI: 10501\nTCD to VIE: 10920\nTCD to CEM: 10467\nTCD to KPV: 10874\nTCD to UBJ: 16348\nTCD to YGV: 6680\nUBJ to ORI: 11264\nUBJ to VIE: 8834\nUBJ to CEM: 11135\nUBJ to KPV: 11637\nUBJ to YGV: 12659\nVIE to ORI: 11555\nVIE to CEM: 11426\nVIE to KPV: 11928\nVIE to YGV: 6409\nYGV to ORI: 6952\nYGV to CEM: 7105\nYGV to KPV: 7325\nORI to CEM: 1015\nORI to KPV: 1235\nCEM to KPV: 1388\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\nProblem to Solve\n\n- Airports to visit: YTY, ORN, EPR, GOA, ZEL, GRU, MOQ, DAB, MTJ\n- Travel distances (in kilometers) between each pair of airports:\nYTY to GRU: 18343\nYTY to ZEL: 9863\nYTY to DAB: 13003\nYTY to GOA: 9053\nYTY to ORN: 10335\nYTY to MOQ: 10087\nYTY to EPR: 7884\nYTY to MTJ: 11476\nORN to GRU: 8225\nORN to ZEL: 9658\nORN to DAB: 7898\nORN to GOA: 1322\nORN to MOQ: 9208\nORN to EPR: 14998\nORN to MTJ: 9082\nEPR to GRU: 16329\nEPR to ZEL: 16583\nEPR to DAB: 19314\nEPR to GOA: 14301\nEPR to MOQ: 7920\nEPR to MTJ: 17420\nGOA to GRU: 9414\nGOA to ZEL: 9086\nGOA to DAB: 8072\nGOA to MOQ: 8550\nGOA to MTJ: 8858\nZEL to GRU: 11553\nZEL to DAB: 4788\nZEL to MOQ: 17480\nZEL to MTJ: 2595\nGRU to DAB: 8099\nGRU to MOQ: 9944\nGRU to MTJ: 9590\nMOQ to DAB: 16228\nMOQ to MTJ: 17275\nDAB to MTJ: 2829\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]	{ "ground_truth": 57287, "style": "rule" }	{ "exact_answer": 57287, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"YTY\", \"id\": 0}, {\"name\": \"ORN\", \"id\": 1}, {\"name\": \"EPR\", \"id\": 2}, {\"name\": \"GOA\", \"id\": 3}, {\"name\": \"ZEL\", \"id\": 4}, {\"name\": \"GRU\", \"id\": 5}, {\"name\": \"MOQ\", \"id\": 6}, {\"name\": \"DAB\", \"id\": 7}, {\"name\": \"MTJ\", \"id\": 8}], \"links\": [{\"weight\": 18343, \"source\": 0, \"target\": 5}, {\"weight\": 9863, \"source\": 0, \"target\": 4}, {\"weight\": 13003, \"source\": 0, \"target\": 7}, {\"weight\": 9053, \"source\": 0, \"target\": 3}, {\"weight\": 10335, \"source\": 0, \"target\": 1}, {\"weight\": 10087, \"source\": 0, \"target\": 6}, {\"weight\": 7884, \"source\": 0, \"target\": 2}, {\"weight\": 11476, \"source\": 0, \"target\": 8}, {\"weight\": 8225, \"source\": 1, \"target\": 5}, {\"weight\": 9658, \"source\": 1, \"target\": 4}, {\"weight\": 7898, \"source\": 1, \"target\": 7}, {\"weight\": 1322, \"source\": 1, \"target\": 3}, {\"weight\": 9208, \"source\": 1, \"target\": 6}, {\"weight\": 14998, \"source\": 1, \"target\": 2}, {\"weight\": 9082, \"source\": 1, \"target\": 8}, {\"weight\": 16329, \"source\": 2, \"target\": 5}, {\"weight\": 16583, \"source\": 2, \"target\": 4}, {\"weight\": 19314, \"source\": 2, \"target\": 7}, {\"weight\": 14301, \"source\": 2, \"target\": 3}, {\"weight\": 7920, \"source\": 2, \"target\": 6}, {\"weight\": 17420, \"source\": 2, \"target\": 8}, {\"weight\": 9414, \"source\": 3, \"target\": 5}, {\"weight\": 9086, \"source\": 3, \"target\": 4}, {\"weight\": 8072, \"source\": 3, \"target\": 7}, {\"weight\": 8550, \"source\": 3, \"target\": 6}, {\"weight\": 8858, \"source\": 3, \"target\": 8}, {\"weight\": 11553, \"source\": 4, \"target\": 5}, {\"weight\": 4788, \"source\": 4, \"target\": 7}, {\"weight\": 17480, \"source\": 4, \"target\": 6}, {\"weight\": 2595, \"source\": 4, \"target\": 8}, {\"weight\": 8099, \"source\": 5, \"target\": 7}, {\"weight\": 9944, \"source\": 5, \"target\": 6}, {\"weight\": 9590, \"source\": 5, \"target\": 8}, {\"weight\": 16228, \"source\": 6, \"target\": 7}, {\"weight\": 17275, \"source\": 6, \"target\": 8}, {\"weight\": 2829, \"source\": 7, \"target\": 8}]}", "id": 2437, "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\nProblem to Solve\n\n- Airports to visit: YTY, ORN, EPR, GOA, ZEL, GRU, MOQ, DAB, MTJ\n- Travel distances (in kilometers) between each pair of airports:\nYTY to GRU: 18343\nYTY to ZEL: 9863\nYTY to DAB: 13003\nYTY to GOA: 9053\nYTY to ORN: 10335\nYTY to MOQ: 10087\nYTY to EPR: 7884\nYTY to MTJ: 11476\nORN to GRU: 8225\nORN to ZEL: 9658\nORN to DAB: 7898\nORN to GOA: 1322\nORN to MOQ: 9208\nORN to EPR: 14998\nORN to MTJ: 9082\nEPR to GRU: 16329\nEPR to ZEL: 16583\nEPR to DAB: 19314\nEPR to GOA: 14301\nEPR to MOQ: 7920\nEPR to MTJ: 17420\nGOA to GRU: 9414\nGOA to ZEL: 9086\nGOA to DAB: 8072\nGOA to MOQ: 8550\nGOA to MTJ: 8858\nZEL to GRU: 11553\nZEL to DAB: 4788\nZEL to MOQ: 17480\nZEL to MTJ: 2595\nGRU to DAB: 8099\nGRU to MOQ: 9944\nGRU to MTJ: 9590\nMOQ to DAB: 16228\nMOQ to MTJ: 17275\nDAB to MTJ: 2829\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\nProblem to Solve\n\n- Airports to visit: APF, ECP, HUS, YOL, KTM, MWF, GSM, NYK, AAN\n- Travel distances (in kilometers) between each pair of airports:\nAPF to KTM: 14478\nAPF to HUS: 7318\nAPF to ECP: 1497\nAPF to GSM: 12699\nAPF to NYK: 14630\nAPF to AAN: 14923\nAPF to MWF: 14149\nAPF to YOL: 11180\nECP to KTM: 14056\nECP to HUS: 6528\nECP to GSM: 12568\nECP to NYK: 14069\nECP to AAN: 14597\nECP to MWF: 13382\nECP to YOL: 10859\nHUS to KTM: 14659\nHUS to GSM: 14887\nHUS to NYK: 17904\nHUS to AAN: 17395\nHUS to MWF: 11667\nHUS to YOL: 15717\nYOL to KTM: 8944\nYOL to GSM: 6129\nYOL to NYK: 4980\nYOL to AAN: 9582\nYOL to MWF: 18975\nKTM to GSM: 3164\nKTM to NYK: 6660\nKTM to AAN: 3500\nKTM to MWF: 11057\nMWF to GSM: 14021\nMWF to NYK: 14971\nMWF to AAN: 13880\nGSM to NYK: 3900\nGSM to AAN: 3891\nNYK to AAN: 7441\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]	{ "ground_truth": 58200, "style": "rule" }	{ "exact_answer": 58200, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"APF\", \"id\": 0}, {\"name\": \"ECP\", \"id\": 1}, {\"name\": \"HUS\", \"id\": 2}, {\"name\": \"YOL\", \"id\": 3}, {\"name\": \"KTM\", \"id\": 4}, {\"name\": \"MWF\", \"id\": 5}, {\"name\": \"GSM\", \"id\": 6}, {\"name\": \"NYK\", \"id\": 7}, {\"name\": \"AAN\", \"id\": 8}], \"links\": [{\"weight\": 14478, \"source\": 0, \"target\": 4}, {\"weight\": 7318, \"source\": 0, \"target\": 2}, {\"weight\": 1497, \"source\": 0, \"target\": 1}, {\"weight\": 12699, \"source\": 0, \"target\": 6}, {\"weight\": 14630, \"source\": 0, \"target\": 7}, {\"weight\": 14923, \"source\": 0, \"target\": 8}, {\"weight\": 14149, \"source\": 0, \"target\": 5}, {\"weight\": 11180, \"source\": 0, \"target\": 3}, {\"weight\": 14056, \"source\": 1, \"target\": 4}, {\"weight\": 6528, \"source\": 1, \"target\": 2}, {\"weight\": 12568, \"source\": 1, \"target\": 6}, {\"weight\": 14069, \"source\": 1, \"target\": 7}, {\"weight\": 14597, \"source\": 1, \"target\": 8}, {\"weight\": 13382, \"source\": 1, \"target\": 5}, {\"weight\": 10859, \"source\": 1, \"target\": 3}, {\"weight\": 14659, \"source\": 2, \"target\": 4}, {\"weight\": 14887, \"source\": 2, \"target\": 6}, {\"weight\": 17904, \"source\": 2, \"target\": 7}, {\"weight\": 17395, \"source\": 2, \"target\": 8}, {\"weight\": 11667, \"source\": 2, \"target\": 5}, {\"weight\": 15717, \"source\": 2, \"target\": 3}, {\"weight\": 8944, \"source\": 3, \"target\": 4}, {\"weight\": 6129, \"source\": 3, \"target\": 6}, {\"weight\": 4980, \"source\": 3, \"target\": 7}, {\"weight\": 9582, \"source\": 3, \"target\": 8}, {\"weight\": 18975, \"source\": 3, \"target\": 5}, {\"weight\": 3164, \"source\": 4, \"target\": 6}, {\"weight\": 6660, \"source\": 4, \"target\": 7}, {\"weight\": 3500, \"source\": 4, \"target\": 8}, {\"weight\": 11057, \"source\": 4, \"target\": 5}, {\"weight\": 14021, \"source\": 5, \"target\": 6}, {\"weight\": 14971, \"source\": 5, \"target\": 7}, {\"weight\": 13880, \"source\": 5, \"target\": 8}, {\"weight\": 3900, \"source\": 6, \"target\": 7}, {\"weight\": 3891, \"source\": 6, \"target\": 8}, {\"weight\": 7441, \"source\": 7, \"target\": 8}]}", "id": 2438, "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\nProblem to Solve\n\n- Airports to visit: APF, ECP, HUS, YOL, KTM, MWF, GSM, NYK, AAN\n- Travel distances (in kilometers) between each pair of airports:\nAPF to KTM: 14478\nAPF to HUS: 7318\nAPF to ECP: 1497\nAPF to GSM: 12699\nAPF to NYK: 14630\nAPF to AAN: 14923\nAPF to MWF: 14149\nAPF to YOL: 11180\nECP to KTM: 14056\nECP to HUS: 6528\nECP to GSM: 12568\nECP to NYK: 14069\nECP to AAN: 14597\nECP to MWF: 13382\nECP to YOL: 10859\nHUS to KTM: 14659\nHUS to GSM: 14887\nHUS to NYK: 17904\nHUS to AAN: 17395\nHUS to MWF: 11667\nHUS to YOL: 15717\nYOL to KTM: 8944\nYOL to GSM: 6129\nYOL to NYK: 4980\nYOL to AAN: 9582\nYOL to MWF: 18975\nKTM to GSM: 3164\nKTM to NYK: 6660\nKTM to AAN: 3500\nKTM to MWF: 11057\nMWF to GSM: 14021\nMWF to NYK: 14971\nMWF to AAN: 13880\nGSM to NYK: 3900\nGSM to AAN: 3891\nNYK to AAN: 7441\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\nProblem to Solve\n\n- Airports to visit: BVI, CAY, URE, GTR, FMA, CGQ, BBN, DCM, YAM\n- Travel distances (in kilometers) between each pair of airports:\nBVI to CAY: 19257\nBVI to CGQ: 8387\nBVI to DCM: 16203\nBVI to YAM: 16216\nBVI to GTR: 16354\nBVI to FMA: 15445\nBVI to BBN: 5715\nBVI to URE: 14271\nCAY to CGQ: 16184\nCAY to DCM: 7660\nCAY to YAM: 5623\nCAY to GTR: 4999\nCAY to FMA: 5773\nCAY to BBN: 18758\nCAY to URE: 9147\nURE to CGQ: 7419\nURE to DCM: 2635\nURE to YAM: 7345\nURE to GTR: 8419\nURE to FMA: 14037\nURE to BBN: 10307\nGTR to CGQ: 12603\nGTR to DCM: 8014\nGTR to YAM: 2071\nGTR to FMA: 9490\nGTR to BBN: 15985\nFMA to CGQ: 20887\nFMA to DCM: 12554\nFMA to YAM: 10629\nFMA to BBN: 20052\nCGQ to DCM: 9672\nCGQ to YAM: 11483\nCGQ to BBN: 4800\nBBN to DCM: 12017\nBBN to YAM: 14751\nDCM to YAM: 7101\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]	{ "ground_truth": 55958, "style": "rule" }	{ "exact_answer": 55958, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"BVI\", \"id\": 0}, {\"name\": \"CAY\", \"id\": 1}, {\"name\": \"URE\", \"id\": 2}, {\"name\": \"GTR\", \"id\": 3}, {\"name\": \"FMA\", \"id\": 4}, {\"name\": \"CGQ\", \"id\": 5}, {\"name\": \"BBN\", \"id\": 6}, {\"name\": \"DCM\", \"id\": 7}, {\"name\": \"YAM\", \"id\": 8}], \"links\": [{\"weight\": 19257, \"source\": 0, \"target\": 1}, {\"weight\": 8387, \"source\": 0, \"target\": 5}, {\"weight\": 16203, \"source\": 0, \"target\": 7}, {\"weight\": 16216, \"source\": 0, \"target\": 8}, {\"weight\": 16354, \"source\": 0, \"target\": 3}, {\"weight\": 15445, \"source\": 0, \"target\": 4}, {\"weight\": 5715, \"source\": 0, \"target\": 6}, {\"weight\": 14271, \"source\": 0, \"target\": 2}, {\"weight\": 16184, \"source\": 1, \"target\": 5}, {\"weight\": 7660, \"source\": 1, \"target\": 7}, {\"weight\": 5623, \"source\": 1, \"target\": 8}, {\"weight\": 4999, \"source\": 1, \"target\": 3}, {\"weight\": 5773, \"source\": 1, \"target\": 4}, {\"weight\": 18758, \"source\": 1, \"target\": 6}, {\"weight\": 9147, \"source\": 1, \"target\": 2}, {\"weight\": 7419, \"source\": 2, \"target\": 5}, {\"weight\": 2635, \"source\": 2, \"target\": 7}, {\"weight\": 7345, \"source\": 2, \"target\": 8}, {\"weight\": 8419, \"source\": 2, \"target\": 3}, {\"weight\": 14037, \"source\": 2, \"target\": 4}, {\"weight\": 10307, \"source\": 2, \"target\": 6}, {\"weight\": 12603, \"source\": 3, \"target\": 5}, {\"weight\": 8014, \"source\": 3, \"target\": 7}, {\"weight\": 2071, \"source\": 3, \"target\": 8}, {\"weight\": 9490, \"source\": 3, \"target\": 4}, {\"weight\": 15985, \"source\": 3, \"target\": 6}, {\"weight\": 20887, \"source\": 4, \"target\": 5}, {\"weight\": 12554, \"source\": 4, \"target\": 7}, {\"weight\": 10629, \"source\": 4, \"target\": 8}, {\"weight\": 20052, \"source\": 4, \"target\": 6}, {\"weight\": 9672, \"source\": 5, \"target\": 7}, {\"weight\": 11483, \"source\": 5, \"target\": 8}, {\"weight\": 4800, \"source\": 5, \"target\": 6}, {\"weight\": 12017, \"source\": 6, \"target\": 7}, {\"weight\": 14751, \"source\": 6, \"target\": 8}, {\"weight\": 7101, \"source\": 7, \"target\": 8}]}", "id": 2439, "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\nProblem to Solve\n\n- Airports to visit: BVI, CAY, URE, GTR, FMA, CGQ, BBN, DCM, YAM\n- Travel distances (in kilometers) between each pair of airports:\nBVI to CAY: 19257\nBVI to CGQ: 8387\nBVI to DCM: 16203\nBVI to YAM: 16216\nBVI to GTR: 16354\nBVI to FMA: 15445\nBVI to BBN: 5715\nBVI to URE: 14271\nCAY to CGQ: 16184\nCAY to DCM: 7660\nCAY to YAM: 5623\nCAY to GTR: 4999\nCAY to FMA: 5773\nCAY to BBN: 18758\nCAY to URE: 9147\nURE to CGQ: 7419\nURE to DCM: 2635\nURE to YAM: 7345\nURE to GTR: 8419\nURE to FMA: 14037\nURE to BBN: 10307\nGTR to CGQ: 12603\nGTR to DCM: 8014\nGTR to YAM: 2071\nGTR to FMA: 9490\nGTR to BBN: 15985\nFMA to CGQ: 20887\nFMA to DCM: 12554\nFMA to YAM: 10629\nFMA to BBN: 20052\nCGQ to DCM: 9672\nCGQ to YAM: 11483\nCGQ to BBN: 4800\nBBN to DCM: 12017\nBBN to YAM: 14751\nDCM to YAM: 7101\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }