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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: UAH, ECP, CND, SCN, WRG, ZKE, IXG, GPS, SVL\n- Travel distances (in kilometers) between each pair of airports:\nUAH to SCN: 17443\nUAH to ECP: 11240\nUAH to WRG: 10853\nUAH to SVL: 17633\nUAH to GPS: 14250\nUAH to IXG: 17339\nUAH to CND: 19449\nUAH to ZKE: 12207\nECP to SCN: 7708\nECP to WRG: 4990\nECP to SVL: 8455\nECP to GPS: 5583\nECP to IXG: 15414\nECP to CND: 9946\nECP to ZKE: 2578\nCND to SCN: 2398\nCND to WRG: 11499\nCND to SVL: 2777\nCND to GPS: 13216\nCND to IXG: 6522\nCND to ZKE: 9100\nSCN to WRG: 9458\nSCN to SVL: 1967\nSCN to GPS: 11158\nSCN to IXG: 8127\nSCN to ZKE: 6874\nWRG to SVL: 9758\nWRG to GPS: 9363\nWRG to IXG: 15522\nWRG to ZKE: 4767\nZKE to SVL: 7894\nZKE to GPS: 7267\nZKE to IXG: 14744\nIXG to SVL: 7570\nIXG to GPS: 18984\nGPS to SVL: 12699\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]	{ "ground_truth": 63544, "style": "rule" }	{ "exact_answer": 63544, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"UAH\", \"id\": 0}, {\"name\": \"ECP\", \"id\": 1}, {\"name\": \"CND\", \"id\": 2}, {\"name\": \"SCN\", \"id\": 3}, {\"name\": \"WRG\", \"id\": 4}, {\"name\": \"ZKE\", \"id\": 5}, {\"name\": \"IXG\", \"id\": 6}, {\"name\": \"GPS\", \"id\": 7}, {\"name\": \"SVL\", \"id\": 8}], \"links\": [{\"weight\": 17443, \"source\": 0, \"target\": 3}, {\"weight\": 11240, \"source\": 0, \"target\": 1}, {\"weight\": 10853, \"source\": 0, \"target\": 4}, {\"weight\": 17633, \"source\": 0, \"target\": 8}, {\"weight\": 14250, \"source\": 0, \"target\": 7}, {\"weight\": 17339, \"source\": 0, \"target\": 6}, {\"weight\": 19449, \"source\": 0, \"target\": 2}, {\"weight\": 12207, \"source\": 0, \"target\": 5}, {\"weight\": 7708, \"source\": 1, \"target\": 3}, {\"weight\": 4990, \"source\": 1, \"target\": 4}, {\"weight\": 8455, \"source\": 1, \"target\": 8}, {\"weight\": 5583, \"source\": 1, \"target\": 7}, {\"weight\": 15414, \"source\": 1, \"target\": 6}, {\"weight\": 9946, \"source\": 1, \"target\": 2}, {\"weight\": 2578, \"source\": 1, \"target\": 5}, {\"weight\": 2398, \"source\": 2, \"target\": 3}, {\"weight\": 11499, \"source\": 2, \"target\": 4}, {\"weight\": 2777, \"source\": 2, \"target\": 8}, {\"weight\": 13216, \"source\": 2, \"target\": 7}, {\"weight\": 6522, \"source\": 2, \"target\": 6}, {\"weight\": 9100, \"source\": 2, \"target\": 5}, {\"weight\": 9458, \"source\": 3, \"target\": 4}, {\"weight\": 1967, \"source\": 3, \"target\": 8}, {\"weight\": 11158, \"source\": 3, \"target\": 7}, {\"weight\": 8127, \"source\": 3, \"target\": 6}, {\"weight\": 6874, \"source\": 3, \"target\": 5}, {\"weight\": 9758, \"source\": 4, \"target\": 8}, {\"weight\": 9363, \"source\": 4, \"target\": 7}, {\"weight\": 15522, \"source\": 4, \"target\": 6}, {\"weight\": 4767, \"source\": 4, \"target\": 5}, {\"weight\": 7894, \"source\": 5, \"target\": 8}, {\"weight\": 7267, \"source\": 5, \"target\": 7}, {\"weight\": 14744, \"source\": 5, \"target\": 6}, {\"weight\": 7570, \"source\": 6, \"target\": 8}, {\"weight\": 18984, \"source\": 6, \"target\": 7}, {\"weight\": 12699, \"source\": 7, \"target\": 8}]}", "id": 300, "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: UAH, ECP, CND, SCN, WRG, ZKE, IXG, GPS, SVL\n- Travel distances (in kilometers) between each pair of airports:\nUAH to SCN: 17443\nUAH to ECP: 11240\nUAH to WRG: 10853\nUAH to SVL: 17633\nUAH to GPS: 14250\nUAH to IXG: 17339\nUAH to CND: 19449\nUAH to ZKE: 12207\nECP to SCN: 7708\nECP to WRG: 4990\nECP to SVL: 8455\nECP to GPS: 5583\nECP to IXG: 15414\nECP to CND: 9946\nECP to ZKE: 2578\nCND to SCN: 2398\nCND to WRG: 11499\nCND to SVL: 2777\nCND to GPS: 13216\nCND to IXG: 6522\nCND to ZKE: 9100\nSCN to WRG: 9458\nSCN to SVL: 1967\nSCN to GPS: 11158\nSCN to IXG: 8127\nSCN to ZKE: 6874\nWRG to SVL: 9758\nWRG to GPS: 9363\nWRG to IXG: 15522\nWRG to ZKE: 4767\nZKE to SVL: 7894\nZKE to GPS: 7267\nZKE to IXG: 14744\nIXG to SVL: 7570\nIXG to GPS: 18984\nGPS to SVL: 12699\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: TID, TKG, PEK, MXH, CMP, LXR, CIA, DUR, SGN\n- Travel distances (in kilometers) between each pair of airports:\nTID to SGN: 10697\nTID to PEK: 9321\nTID to DUR: 8606\nTID to MXH: 16080\nTID to CIA: 1404\nTID to TKG: 11790\nTID to LXR: 3432\nTID to CMP: 8392\nTKG to SGN: 1837\nTKG to PEK: 5233\nTKG to DUR: 9302\nTKG to MXH: 5247\nTKG to CIA: 10714\nTKG to LXR: 8758\nTKG to CMP: 19310\nPEK to SGN: 3396\nPEK to DUR: 11958\nPEK to MXH: 7359\nPEK to CIA: 8169\nPEK to LXR: 7839\nPEK to CMP: 17128\nMXH to SGN: 6094\nMXH to DUR: 13597\nMXH to CIA: 14983\nMXH to LXR: 13571\nMXH to CMP: 19784\nCMP to SGN: 18406\nCMP to DUR: 10520\nCMP to CIA: 9162\nCMP to LXR: 11319\nLXR to SGN: 7891\nLXR to DUR: 6612\nLXR to CIA: 2675\nCIA to SGN: 9581\nCIA to DUR: 8931\nDUR to SGN: 9378\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\": \"TID\", \"id\": 0}, {\"name\": \"TKG\", \"id\": 1}, {\"name\": \"PEK\", \"id\": 2}, {\"name\": \"MXH\", \"id\": 3}, {\"name\": \"CMP\", \"id\": 4}, {\"name\": \"LXR\", \"id\": 5}, {\"name\": \"CIA\", \"id\": 6}, {\"name\": \"DUR\", \"id\": 7}, {\"name\": \"SGN\", \"id\": 8}], \"links\": [{\"weight\": 10697, \"source\": 0, \"target\": 8}, {\"weight\": 9321, \"source\": 0, \"target\": 2}, {\"weight\": 8606, \"source\": 0, \"target\": 7}, {\"weight\": 16080, \"source\": 0, \"target\": 3}, {\"weight\": 1404, \"source\": 0, \"target\": 6}, {\"weight\": 11790, \"source\": 0, \"target\": 1}, {\"weight\": 3432, \"source\": 0, \"target\": 5}, {\"weight\": 8392, \"source\": 0, \"target\": 4}, {\"weight\": 1837, \"source\": 1, \"target\": 8}, {\"weight\": 5233, \"source\": 1, \"target\": 2}, {\"weight\": 9302, \"source\": 1, \"target\": 7}, {\"weight\": 5247, \"source\": 1, \"target\": 3}, {\"weight\": 10714, \"source\": 1, \"target\": 6}, {\"weight\": 8758, \"source\": 1, \"target\": 5}, {\"weight\": 19310, \"source\": 1, \"target\": 4}, {\"weight\": 3396, \"source\": 2, \"target\": 8}, {\"weight\": 11958, \"source\": 2, \"target\": 7}, {\"weight\": 7359, \"source\": 2, \"target\": 3}, {\"weight\": 8169, \"source\": 2, \"target\": 6}, {\"weight\": 7839, \"source\": 2, \"target\": 5}, {\"weight\": 17128, \"source\": 2, \"target\": 4}, {\"weight\": 6094, \"source\": 3, \"target\": 8}, {\"weight\": 13597, \"source\": 3, \"target\": 7}, {\"weight\": 14983, \"source\": 3, \"target\": 6}, {\"weight\": 13571, \"source\": 3, \"target\": 5}, {\"weight\": 19784, \"source\": 3, \"target\": 4}, {\"weight\": 18406, \"source\": 4, \"target\": 8}, {\"weight\": 10520, \"source\": 4, \"target\": 7}, {\"weight\": 9162, \"source\": 4, \"target\": 6}, {\"weight\": 11319, \"source\": 4, \"target\": 5}, {\"weight\": 7891, \"source\": 5, \"target\": 8}, {\"weight\": 6612, \"source\": 5, \"target\": 7}, {\"weight\": 2675, \"source\": 5, \"target\": 6}, {\"weight\": 9581, \"source\": 6, \"target\": 8}, {\"weight\": 8931, \"source\": 6, \"target\": 7}, {\"weight\": 9378, \"source\": 7, \"target\": 8}]}", "id": 301, "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: TID, TKG, PEK, MXH, CMP, LXR, CIA, DUR, SGN\n- Travel distances (in kilometers) between each pair of airports:\nTID to SGN: 10697\nTID to PEK: 9321\nTID to DUR: 8606\nTID to MXH: 16080\nTID to CIA: 1404\nTID to TKG: 11790\nTID to LXR: 3432\nTID to CMP: 8392\nTKG to SGN: 1837\nTKG to PEK: 5233\nTKG to DUR: 9302\nTKG to MXH: 5247\nTKG to CIA: 10714\nTKG to LXR: 8758\nTKG to CMP: 19310\nPEK to SGN: 3396\nPEK to DUR: 11958\nPEK to MXH: 7359\nPEK to CIA: 8169\nPEK to LXR: 7839\nPEK to CMP: 17128\nMXH to SGN: 6094\nMXH to DUR: 13597\nMXH to CIA: 14983\nMXH to LXR: 13571\nMXH to CMP: 19784\nCMP to SGN: 18406\nCMP to DUR: 10520\nCMP to CIA: 9162\nCMP to LXR: 11319\nLXR to SGN: 7891\nLXR to DUR: 6612\nLXR to CIA: 2675\nCIA to SGN: 9581\nCIA to DUR: 8931\nDUR to SGN: 9378\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: ASF, KEW, WNR, MTS, SGO, PMW, NOC, NTG, CYF\n- Travel distances (in kilometers) between each pair of airports:\nASF to PMW: 12110\nASF to NTG: 6615\nASF to CYF: 13542\nASF to NOC: 4245\nASF to WNR: 13108\nASF to SGO: 13954\nASF to MTS: 8793\nASF to KEW: 10325\nKEW to PMW: 8516\nKEW to NTG: 11449\nKEW to CYF: 5529\nKEW to NOC: 7441\nKEW to WNR: 15360\nKEW to SGO: 14716\nKEW to MTS: 15282\nWNR to PMW: 17122\nWNR to NTG: 7444\nWNR to CYF: 13910\nWNR to NOC: 16607\nWNR to SGO: 1311\nWNR to MTS: 13027\nMTS to PMW: 9222\nMTS to NTG: 12157\nMTS to CYF: 19621\nMTS to NOC: 10000\nMTS to SGO: 12378\nSGO to PMW: 16473\nSGO to NTG: 8308\nSGO to CYF: 13266\nSGO to NOC: 17451\nPMW to NTG: 18120\nPMW to CYF: 12630\nPMW to NOC: 9223\nNOC to NTG: 9514\nNOC to CYF: 11014\nNTG to CYF: 12407\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]	{ "ground_truth": 66148, "style": "rule" }	{ "exact_answer": 66148, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"ASF\", \"id\": 0}, {\"name\": \"KEW\", \"id\": 1}, {\"name\": \"WNR\", \"id\": 2}, {\"name\": \"MTS\", \"id\": 3}, {\"name\": \"SGO\", \"id\": 4}, {\"name\": \"PMW\", \"id\": 5}, {\"name\": \"NOC\", \"id\": 6}, {\"name\": \"NTG\", \"id\": 7}, {\"name\": \"CYF\", \"id\": 8}], \"links\": [{\"weight\": 12110, \"source\": 0, \"target\": 5}, {\"weight\": 6615, \"source\": 0, \"target\": 7}, {\"weight\": 13542, \"source\": 0, \"target\": 8}, {\"weight\": 4245, \"source\": 0, \"target\": 6}, {\"weight\": 13108, \"source\": 0, \"target\": 2}, {\"weight\": 13954, \"source\": 0, \"target\": 4}, {\"weight\": 8793, \"source\": 0, \"target\": 3}, {\"weight\": 10325, \"source\": 0, \"target\": 1}, {\"weight\": 8516, \"source\": 1, \"target\": 5}, {\"weight\": 11449, \"source\": 1, \"target\": 7}, {\"weight\": 5529, \"source\": 1, \"target\": 8}, {\"weight\": 7441, \"source\": 1, \"target\": 6}, {\"weight\": 15360, \"source\": 1, \"target\": 2}, {\"weight\": 14716, \"source\": 1, \"target\": 4}, {\"weight\": 15282, \"source\": 1, \"target\": 3}, {\"weight\": 17122, \"source\": 2, \"target\": 5}, {\"weight\": 7444, \"source\": 2, \"target\": 7}, {\"weight\": 13910, \"source\": 2, \"target\": 8}, {\"weight\": 16607, \"source\": 2, \"target\": 6}, {\"weight\": 1311, \"source\": 2, \"target\": 4}, {\"weight\": 13027, \"source\": 2, \"target\": 3}, {\"weight\": 9222, \"source\": 3, \"target\": 5}, {\"weight\": 12157, \"source\": 3, \"target\": 7}, {\"weight\": 19621, \"source\": 3, \"target\": 8}, {\"weight\": 10000, \"source\": 3, \"target\": 6}, {\"weight\": 12378, \"source\": 3, \"target\": 4}, {\"weight\": 16473, \"source\": 4, \"target\": 5}, {\"weight\": 8308, \"source\": 4, \"target\": 7}, {\"weight\": 13266, \"source\": 4, \"target\": 8}, {\"weight\": 17451, \"source\": 4, \"target\": 6}, {\"weight\": 18120, \"source\": 5, \"target\": 7}, {\"weight\": 12630, \"source\": 5, \"target\": 8}, {\"weight\": 9223, \"source\": 5, \"target\": 6}, {\"weight\": 9514, \"source\": 6, \"target\": 7}, {\"weight\": 11014, \"source\": 6, \"target\": 8}, {\"weight\": 12407, \"source\": 7, \"target\": 8}]}", "id": 302, "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: ASF, KEW, WNR, MTS, SGO, PMW, NOC, NTG, CYF\n- Travel distances (in kilometers) between each pair of airports:\nASF to PMW: 12110\nASF to NTG: 6615\nASF to CYF: 13542\nASF to NOC: 4245\nASF to WNR: 13108\nASF to SGO: 13954\nASF to MTS: 8793\nASF to KEW: 10325\nKEW to PMW: 8516\nKEW to NTG: 11449\nKEW to CYF: 5529\nKEW to NOC: 7441\nKEW to WNR: 15360\nKEW to SGO: 14716\nKEW to MTS: 15282\nWNR to PMW: 17122\nWNR to NTG: 7444\nWNR to CYF: 13910\nWNR to NOC: 16607\nWNR to SGO: 1311\nWNR to MTS: 13027\nMTS to PMW: 9222\nMTS to NTG: 12157\nMTS to CYF: 19621\nMTS to NOC: 10000\nMTS to SGO: 12378\nSGO to PMW: 16473\nSGO to NTG: 8308\nSGO to CYF: 13266\nSGO to NOC: 17451\nPMW to NTG: 18120\nPMW to CYF: 12630\nPMW to NOC: 9223\nNOC to NTG: 9514\nNOC to CYF: 11014\nNTG to CYF: 12407\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: DBV, ALO, MHT, LED, YEV, BTC, BON, SDN, LZY\n- Travel distances (in kilometers) between each pair of airports:\nDBV to LED: 2111\nDBV to BON: 9109\nDBV to LZY: 7427\nDBV to YEV: 10573\nDBV to ALO: 8441\nDBV to MHT: 7552\nDBV to BTC: 7473\nDBV to SDN: 2344\nALO to LED: 7921\nALO to BON: 4243\nALO to LZY: 13418\nALO to YEV: 4797\nALO to MHT: 1728\nALO to BTC: 15003\nALO to SDN: 6967\nMHT to LED: 7226\nMHT to BON: 3563\nMHT to LZY: 13785\nMHT to YEV: 5062\nMHT to BTC: 14586\nMHT to SDN: 6205\nLED to BON: 9565\nLED to LZY: 6650\nLED to YEV: 9807\nLED to BTC: 7388\nLED to SDN: 1386\nYEV to BON: 7979\nYEV to LZY: 13925\nYEV to BTC: 16818\nYEV to SDN: 8786\nBTC to BON: 16388\nBTC to LZY: 3792\nBTC to SDN: 8746\nBON to LZY: 15878\nBON to SDN: 8820\nSDN to LZY: 8013\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]	{ "ground_truth": 47284, "style": "rule" }	{ "exact_answer": 47284, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"DBV\", \"id\": 0}, {\"name\": \"ALO\", \"id\": 1}, {\"name\": \"MHT\", \"id\": 2}, {\"name\": \"LED\", \"id\": 3}, {\"name\": \"YEV\", \"id\": 4}, {\"name\": \"BTC\", \"id\": 5}, {\"name\": \"BON\", \"id\": 6}, {\"name\": \"SDN\", \"id\": 7}, {\"name\": \"LZY\", \"id\": 8}], \"links\": [{\"weight\": 2111, \"source\": 0, \"target\": 3}, {\"weight\": 9109, \"source\": 0, \"target\": 6}, {\"weight\": 7427, \"source\": 0, \"target\": 8}, {\"weight\": 10573, \"source\": 0, \"target\": 4}, {\"weight\": 8441, \"source\": 0, \"target\": 1}, {\"weight\": 7552, \"source\": 0, \"target\": 2}, {\"weight\": 7473, \"source\": 0, \"target\": 5}, {\"weight\": 2344, \"source\": 0, \"target\": 7}, {\"weight\": 7921, \"source\": 1, \"target\": 3}, {\"weight\": 4243, \"source\": 1, \"target\": 6}, {\"weight\": 13418, \"source\": 1, \"target\": 8}, {\"weight\": 4797, \"source\": 1, \"target\": 4}, {\"weight\": 1728, \"source\": 1, \"target\": 2}, {\"weight\": 15003, \"source\": 1, \"target\": 5}, {\"weight\": 6967, \"source\": 1, \"target\": 7}, {\"weight\": 7226, \"source\": 2, \"target\": 3}, {\"weight\": 3563, \"source\": 2, \"target\": 6}, {\"weight\": 13785, \"source\": 2, \"target\": 8}, {\"weight\": 5062, \"source\": 2, \"target\": 4}, {\"weight\": 14586, \"source\": 2, \"target\": 5}, {\"weight\": 6205, \"source\": 2, \"target\": 7}, {\"weight\": 9565, \"source\": 3, \"target\": 6}, {\"weight\": 6650, \"source\": 3, \"target\": 8}, {\"weight\": 9807, \"source\": 3, \"target\": 4}, {\"weight\": 7388, \"source\": 3, \"target\": 5}, {\"weight\": 1386, \"source\": 3, \"target\": 7}, {\"weight\": 7979, \"source\": 4, \"target\": 6}, {\"weight\": 13925, \"source\": 4, \"target\": 8}, {\"weight\": 16818, \"source\": 4, \"target\": 5}, {\"weight\": 8786, \"source\": 4, \"target\": 7}, {\"weight\": 16388, \"source\": 5, \"target\": 6}, {\"weight\": 3792, \"source\": 5, \"target\": 8}, {\"weight\": 8746, \"source\": 5, \"target\": 7}, {\"weight\": 15878, \"source\": 6, \"target\": 8}, {\"weight\": 8820, \"source\": 6, \"target\": 7}, {\"weight\": 8013, \"source\": 7, \"target\": 8}]}", "id": 303, "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: DBV, ALO, MHT, LED, YEV, BTC, BON, SDN, LZY\n- Travel distances (in kilometers) between each pair of airports:\nDBV to LED: 2111\nDBV to BON: 9109\nDBV to LZY: 7427\nDBV to YEV: 10573\nDBV to ALO: 8441\nDBV to MHT: 7552\nDBV to BTC: 7473\nDBV to SDN: 2344\nALO to LED: 7921\nALO to BON: 4243\nALO to LZY: 13418\nALO to YEV: 4797\nALO to MHT: 1728\nALO to BTC: 15003\nALO to SDN: 6967\nMHT to LED: 7226\nMHT to BON: 3563\nMHT to LZY: 13785\nMHT to YEV: 5062\nMHT to BTC: 14586\nMHT to SDN: 6205\nLED to BON: 9565\nLED to LZY: 6650\nLED to YEV: 9807\nLED to BTC: 7388\nLED to SDN: 1386\nYEV to BON: 7979\nYEV to LZY: 13925\nYEV to BTC: 16818\nYEV to SDN: 8786\nBTC to BON: 16388\nBTC to LZY: 3792\nBTC to SDN: 8746\nBON to LZY: 15878\nBON to SDN: 8820\nSDN to LZY: 8013\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: PPP, MCY, WNZ, PUQ, PTU, ICN, LMM, DVO, BCV\n- Travel distances (in kilometers) between each pair of airports:\nPPP to WNZ: 7972\nPPP to ICN: 8624\nPPP to PTU: 13756\nPPP to DVO: 6763\nPPP to BCV: 15987\nPPP to PUQ: 15022\nPPP to LMM: 13734\nPPP to MCY: 2353\nMCY to WNZ: 8438\nMCY to ICN: 9178\nMCY to PTU: 14315\nMCY to DVO: 7369\nMCY to BCV: 16455\nMCY to PUQ: 14355\nMCY to LMM: 14202\nWNZ to ICN: 1192\nWNZ to PTU: 12718\nWNZ to DVO: 2441\nWNZ to BCV: 14153\nWNZ to PUQ: 21121\nWNZ to LMM: 12070\nPUQ to ICN: 20871\nPUQ to PTU: 15728\nPUQ to DVO: 19995\nPUQ to BCV: 8231\nPUQ to LMM: 10015\nPTU to ICN: 11534\nPTU to DVO: 14492\nPTU to BCV: 7699\nPTU to LMM: 5852\nICN to DVO: 3427\nICN to BCV: 12961\nICN to LMM: 10932\nLMM to DVO: 13710\nLMM to BCV: 2695\nDVO to BCV: 15959\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]	{ "ground_truth": 55416, "style": "rule" }	{ "exact_answer": 55416, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"PPP\", \"id\": 0}, {\"name\": \"MCY\", \"id\": 1}, {\"name\": \"WNZ\", \"id\": 2}, {\"name\": \"PUQ\", \"id\": 3}, {\"name\": \"PTU\", \"id\": 4}, {\"name\": \"ICN\", \"id\": 5}, {\"name\": \"LMM\", \"id\": 6}, {\"name\": \"DVO\", \"id\": 7}, {\"name\": \"BCV\", \"id\": 8}], \"links\": [{\"weight\": 7972, \"source\": 0, \"target\": 2}, {\"weight\": 8624, \"source\": 0, \"target\": 5}, {\"weight\": 13756, \"source\": 0, \"target\": 4}, {\"weight\": 6763, \"source\": 0, \"target\": 7}, {\"weight\": 15987, \"source\": 0, \"target\": 8}, {\"weight\": 15022, \"source\": 0, \"target\": 3}, {\"weight\": 13734, \"source\": 0, \"target\": 6}, {\"weight\": 2353, \"source\": 0, \"target\": 1}, {\"weight\": 8438, \"source\": 1, \"target\": 2}, {\"weight\": 9178, \"source\": 1, \"target\": 5}, {\"weight\": 14315, \"source\": 1, \"target\": 4}, {\"weight\": 7369, \"source\": 1, \"target\": 7}, {\"weight\": 16455, \"source\": 1, \"target\": 8}, {\"weight\": 14355, \"source\": 1, \"target\": 3}, {\"weight\": 14202, \"source\": 1, \"target\": 6}, {\"weight\": 1192, \"source\": 2, \"target\": 5}, {\"weight\": 12718, \"source\": 2, \"target\": 4}, {\"weight\": 2441, \"source\": 2, \"target\": 7}, {\"weight\": 14153, \"source\": 2, \"target\": 8}, {\"weight\": 21121, \"source\": 2, \"target\": 3}, {\"weight\": 12070, \"source\": 2, \"target\": 6}, {\"weight\": 20871, \"source\": 3, \"target\": 5}, {\"weight\": 15728, \"source\": 3, \"target\": 4}, {\"weight\": 19995, \"source\": 3, \"target\": 7}, {\"weight\": 8231, \"source\": 3, \"target\": 8}, {\"weight\": 10015, \"source\": 3, \"target\": 6}, {\"weight\": 11534, \"source\": 4, \"target\": 5}, {\"weight\": 14492, \"source\": 4, \"target\": 7}, {\"weight\": 7699, \"source\": 4, \"target\": 8}, {\"weight\": 5852, \"source\": 4, \"target\": 6}, {\"weight\": 3427, \"source\": 5, \"target\": 7}, {\"weight\": 12961, \"source\": 5, \"target\": 8}, {\"weight\": 10932, \"source\": 5, \"target\": 6}, {\"weight\": 13710, \"source\": 6, \"target\": 7}, {\"weight\": 2695, \"source\": 6, \"target\": 8}, {\"weight\": 15959, \"source\": 7, \"target\": 8}]}", "id": 304, "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: PPP, MCY, WNZ, PUQ, PTU, ICN, LMM, DVO, BCV\n- Travel distances (in kilometers) between each pair of airports:\nPPP to WNZ: 7972\nPPP to ICN: 8624\nPPP to PTU: 13756\nPPP to DVO: 6763\nPPP to BCV: 15987\nPPP to PUQ: 15022\nPPP to LMM: 13734\nPPP to MCY: 2353\nMCY to WNZ: 8438\nMCY to ICN: 9178\nMCY to PTU: 14315\nMCY to DVO: 7369\nMCY to BCV: 16455\nMCY to PUQ: 14355\nMCY to LMM: 14202\nWNZ to ICN: 1192\nWNZ to PTU: 12718\nWNZ to DVO: 2441\nWNZ to BCV: 14153\nWNZ to PUQ: 21121\nWNZ to LMM: 12070\nPUQ to ICN: 20871\nPUQ to PTU: 15728\nPUQ to DVO: 19995\nPUQ to BCV: 8231\nPUQ to LMM: 10015\nPTU to ICN: 11534\nPTU to DVO: 14492\nPTU to BCV: 7699\nPTU to LMM: 5852\nICN to DVO: 3427\nICN to BCV: 12961\nICN to LMM: 10932\nLMM to DVO: 13710\nLMM to BCV: 2695\nDVO to BCV: 15959\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: GUR, LOS, CXR, DIG, POL, KSJ, UYN, TAY, ANU\n- Travel distances (in kilometers) between each pair of airports:\nGUR to LOS: 16848\nGUR to ANU: 18533\nGUR to UYN: 7177\nGUR to DIG: 7002\nGUR to KSJ: 14398\nGUR to TAY: 13470\nGUR to CXR: 6209\nGUR to POL: 13784\nLOS to ANU: 9434\nLOS to UYN: 11587\nLOS to DIG: 10328\nLOS to KSJ: 5459\nLOS to TAY: 6491\nLOS to CXR: 11706\nLOS to POL: 4960\nCXR to ANU: 16820\nCXR to UYN: 3102\nCXR to DIG: 2018\nCXR to KSJ: 9394\nCXR to TAY: 8894\nCXR to POL: 9612\nDIG to ANU: 15387\nDIG to UYN: 1522\nDIG to KSJ: 7677\nDIG to TAY: 7433\nDIG to POL: 8853\nPOL to ANU: 14196\nPOL to UYN: 10191\nPOL to KSJ: 6418\nPOL to TAY: 8523\nKSJ to ANU: 9377\nKSJ to UYN: 8227\nKSJ to TAY: 3138\nUYN to ANU: 14457\nUYN to TAY: 7084\nTAY to ANU: 8666\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]	{ "ground_truth": 57526, "style": "rule" }	{ "exact_answer": 57526, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"GUR\", \"id\": 0}, {\"name\": \"LOS\", \"id\": 1}, {\"name\": \"CXR\", \"id\": 2}, {\"name\": \"DIG\", \"id\": 3}, {\"name\": \"POL\", \"id\": 4}, {\"name\": \"KSJ\", \"id\": 5}, {\"name\": \"UYN\", \"id\": 6}, {\"name\": \"TAY\", \"id\": 7}, {\"name\": \"ANU\", \"id\": 8}], \"links\": [{\"weight\": 16848, \"source\": 0, \"target\": 1}, {\"weight\": 18533, \"source\": 0, \"target\": 8}, {\"weight\": 7177, \"source\": 0, \"target\": 6}, {\"weight\": 7002, \"source\": 0, \"target\": 3}, {\"weight\": 14398, \"source\": 0, \"target\": 5}, {\"weight\": 13470, \"source\": 0, \"target\": 7}, {\"weight\": 6209, \"source\": 0, \"target\": 2}, {\"weight\": 13784, \"source\": 0, \"target\": 4}, {\"weight\": 9434, \"source\": 1, \"target\": 8}, {\"weight\": 11587, \"source\": 1, \"target\": 6}, {\"weight\": 10328, \"source\": 1, \"target\": 3}, {\"weight\": 5459, \"source\": 1, \"target\": 5}, {\"weight\": 6491, \"source\": 1, \"target\": 7}, {\"weight\": 11706, \"source\": 1, \"target\": 2}, {\"weight\": 4960, \"source\": 1, \"target\": 4}, {\"weight\": 16820, \"source\": 2, \"target\": 8}, {\"weight\": 3102, \"source\": 2, \"target\": 6}, {\"weight\": 2018, \"source\": 2, \"target\": 3}, {\"weight\": 9394, \"source\": 2, \"target\": 5}, {\"weight\": 8894, \"source\": 2, \"target\": 7}, {\"weight\": 9612, \"source\": 2, \"target\": 4}, {\"weight\": 15387, \"source\": 3, \"target\": 8}, {\"weight\": 1522, \"source\": 3, \"target\": 6}, {\"weight\": 7677, \"source\": 3, \"target\": 5}, {\"weight\": 7433, \"source\": 3, \"target\": 7}, {\"weight\": 8853, \"source\": 3, \"target\": 4}, {\"weight\": 14196, \"source\": 4, \"target\": 8}, {\"weight\": 10191, \"source\": 4, \"target\": 6}, {\"weight\": 6418, \"source\": 4, \"target\": 5}, {\"weight\": 8523, \"source\": 4, \"target\": 7}, {\"weight\": 9377, \"source\": 5, \"target\": 8}, {\"weight\": 8227, \"source\": 5, \"target\": 6}, {\"weight\": 3138, \"source\": 5, \"target\": 7}, {\"weight\": 14457, \"source\": 6, \"target\": 8}, {\"weight\": 7084, \"source\": 6, \"target\": 7}, {\"weight\": 8666, \"source\": 7, \"target\": 8}]}", "id": 305, "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: GUR, LOS, CXR, DIG, POL, KSJ, UYN, TAY, ANU\n- Travel distances (in kilometers) between each pair of airports:\nGUR to LOS: 16848\nGUR to ANU: 18533\nGUR to UYN: 7177\nGUR to DIG: 7002\nGUR to KSJ: 14398\nGUR to TAY: 13470\nGUR to CXR: 6209\nGUR to POL: 13784\nLOS to ANU: 9434\nLOS to UYN: 11587\nLOS to DIG: 10328\nLOS to KSJ: 5459\nLOS to TAY: 6491\nLOS to CXR: 11706\nLOS to POL: 4960\nCXR to ANU: 16820\nCXR to UYN: 3102\nCXR to DIG: 2018\nCXR to KSJ: 9394\nCXR to TAY: 8894\nCXR to POL: 9612\nDIG to ANU: 15387\nDIG to UYN: 1522\nDIG to KSJ: 7677\nDIG to TAY: 7433\nDIG to POL: 8853\nPOL to ANU: 14196\nPOL to UYN: 10191\nPOL to KSJ: 6418\nPOL to TAY: 8523\nKSJ to ANU: 9377\nKSJ to UYN: 8227\nKSJ to TAY: 3138\nUYN to ANU: 14457\nUYN to TAY: 7084\nTAY to ANU: 8666\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: YHM, KEW, CYP, KSA, CMU, BFN, NTX, YFJ, JIK\n- Travel distances (in kilometers) between each pair of airports:\nYHM to YFJ: 3913\nYHM to JIK: 8546\nYHM to BFN: 15178\nYHM to NTX: 16954\nYHM to CYP: 14160\nYHM to CMU: 16171\nYHM to KSA: 12472\nYHM to KEW: 4010\nKEW to YFJ: 2894\nKEW to JIK: 9895\nKEW to BFN: 15354\nKEW to NTX: 15947\nKEW to CYP: 13153\nKEW to CMU: 15164\nKEW to KSA: 11458\nCYP to YFJ: 12918\nCYP to JIK: 10385\nCYP to BFN: 11744\nCYP to NTX: 3730\nCYP to CMU: 4850\nCYP to KSA: 5314\nKSA to YFJ: 11117\nKSA to JIK: 14195\nKSA to BFN: 16122\nKSA to NTX: 8108\nKSA to CMU: 6952\nCMU to YFJ: 14929\nCMU to JIK: 14288\nCMU to BFN: 13416\nCMU to NTX: 6182\nBFN to YFJ: 16978\nBFN to JIK: 7963\nBFN to NTX: 9914\nNTX to YFJ: 15712\nNTX to JIK: 9896\nYFJ to JIK: 10533\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]	{ "ground_truth": 59976, "style": "rule" }	{ "exact_answer": 59976, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"YHM\", \"id\": 0}, {\"name\": \"KEW\", \"id\": 1}, {\"name\": \"CYP\", \"id\": 2}, {\"name\": \"KSA\", \"id\": 3}, {\"name\": \"CMU\", \"id\": 4}, {\"name\": \"BFN\", \"id\": 5}, {\"name\": \"NTX\", \"id\": 6}, {\"name\": \"YFJ\", \"id\": 7}, {\"name\": \"JIK\", \"id\": 8}], \"links\": [{\"weight\": 3913, \"source\": 0, \"target\": 7}, {\"weight\": 8546, \"source\": 0, \"target\": 8}, {\"weight\": 15178, \"source\": 0, \"target\": 5}, {\"weight\": 16954, \"source\": 0, \"target\": 6}, {\"weight\": 14160, \"source\": 0, \"target\": 2}, {\"weight\": 16171, \"source\": 0, \"target\": 4}, {\"weight\": 12472, \"source\": 0, \"target\": 3}, {\"weight\": 4010, \"source\": 0, \"target\": 1}, {\"weight\": 2894, \"source\": 1, \"target\": 7}, {\"weight\": 9895, \"source\": 1, \"target\": 8}, {\"weight\": 15354, \"source\": 1, \"target\": 5}, {\"weight\": 15947, \"source\": 1, \"target\": 6}, {\"weight\": 13153, \"source\": 1, \"target\": 2}, {\"weight\": 15164, \"source\": 1, \"target\": 4}, {\"weight\": 11458, \"source\": 1, \"target\": 3}, {\"weight\": 12918, \"source\": 2, \"target\": 7}, {\"weight\": 10385, \"source\": 2, \"target\": 8}, {\"weight\": 11744, \"source\": 2, \"target\": 5}, {\"weight\": 3730, \"source\": 2, \"target\": 6}, {\"weight\": 4850, \"source\": 2, \"target\": 4}, {\"weight\": 5314, \"source\": 2, \"target\": 3}, {\"weight\": 11117, \"source\": 3, \"target\": 7}, {\"weight\": 14195, \"source\": 3, \"target\": 8}, {\"weight\": 16122, \"source\": 3, \"target\": 5}, {\"weight\": 8108, \"source\": 3, \"target\": 6}, {\"weight\": 6952, \"source\": 3, \"target\": 4}, {\"weight\": 14929, \"source\": 4, \"target\": 7}, {\"weight\": 14288, \"source\": 4, \"target\": 8}, {\"weight\": 13416, \"source\": 4, \"target\": 5}, {\"weight\": 6182, \"source\": 4, \"target\": 6}, {\"weight\": 16978, \"source\": 5, \"target\": 7}, {\"weight\": 7963, \"source\": 5, \"target\": 8}, {\"weight\": 9914, \"source\": 5, \"target\": 6}, {\"weight\": 15712, \"source\": 6, \"target\": 7}, {\"weight\": 9896, \"source\": 6, \"target\": 8}, {\"weight\": 10533, \"source\": 7, \"target\": 8}]}", "id": 306, "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: YHM, KEW, CYP, KSA, CMU, BFN, NTX, YFJ, JIK\n- Travel distances (in kilometers) between each pair of airports:\nYHM to YFJ: 3913\nYHM to JIK: 8546\nYHM to BFN: 15178\nYHM to NTX: 16954\nYHM to CYP: 14160\nYHM to CMU: 16171\nYHM to KSA: 12472\nYHM to KEW: 4010\nKEW to YFJ: 2894\nKEW to JIK: 9895\nKEW to BFN: 15354\nKEW to NTX: 15947\nKEW to CYP: 13153\nKEW to CMU: 15164\nKEW to KSA: 11458\nCYP to YFJ: 12918\nCYP to JIK: 10385\nCYP to BFN: 11744\nCYP to NTX: 3730\nCYP to CMU: 4850\nCYP to KSA: 5314\nKSA to YFJ: 11117\nKSA to JIK: 14195\nKSA to BFN: 16122\nKSA to NTX: 8108\nKSA to CMU: 6952\nCMU to YFJ: 14929\nCMU to JIK: 14288\nCMU to BFN: 13416\nCMU to NTX: 6182\nBFN to YFJ: 16978\nBFN to JIK: 7963\nBFN to NTX: 9914\nNTX to YFJ: 15712\nNTX to JIK: 9896\nYFJ to JIK: 10533\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: MPP, ENU, SEA, SBH, BBK, NQY, OKA, ORI, PSA\n- Travel distances (in kilometers) between each pair of airports:\nMPP to ORI: 8906\nMPP to SBH: 3272\nMPP to PSA: 10428\nMPP to NQY: 9809\nMPP to SEA: 6241\nMPP to OKA: 15464\nMPP to BBK: 14730\nMPP to ENU: 12398\nENU to ORI: 15052\nENU to SBH: 10046\nENU to PSA: 4755\nENU to NQY: 5447\nENU to SEA: 12814\nENU to OKA: 12956\nENU to BBK: 5321\nSEA to ORI: 2756\nSEA to SBH: 6273\nSEA to PSA: 8872\nSEA to NQY: 7837\nSEA to OKA: 9265\nSEA to BBK: 16748\nSBH to ORI: 8578\nSBH to PSA: 7586\nSBH to NQY: 7050\nSBH to OKA: 15066\nSBH to BBK: 13362\nBBK to ORI: 18986\nBBK to PSA: 9030\nBBK to NQY: 9647\nBBK to OKA: 13105\nNQY to ORI: 10593\nNQY to PSA: 1494\nNQY to OKA: 10331\nOKA to ORI: 12021\nOKA to PSA: 9988\nORI to PSA: 11628\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]	{ "ground_truth": 55924, "style": "rule" }	{ "exact_answer": 55924, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"MPP\", \"id\": 0}, {\"name\": \"ENU\", \"id\": 1}, {\"name\": \"SEA\", \"id\": 2}, {\"name\": \"SBH\", \"id\": 3}, {\"name\": \"BBK\", \"id\": 4}, {\"name\": \"NQY\", \"id\": 5}, {\"name\": \"OKA\", \"id\": 6}, {\"name\": \"ORI\", \"id\": 7}, {\"name\": \"PSA\", \"id\": 8}], \"links\": [{\"weight\": 8906, \"source\": 0, \"target\": 7}, {\"weight\": 3272, \"source\": 0, \"target\": 3}, {\"weight\": 10428, \"source\": 0, \"target\": 8}, {\"weight\": 9809, \"source\": 0, \"target\": 5}, {\"weight\": 6241, \"source\": 0, \"target\": 2}, {\"weight\": 15464, \"source\": 0, \"target\": 6}, {\"weight\": 14730, \"source\": 0, \"target\": 4}, {\"weight\": 12398, \"source\": 0, \"target\": 1}, {\"weight\": 15052, \"source\": 1, \"target\": 7}, {\"weight\": 10046, \"source\": 1, \"target\": 3}, {\"weight\": 4755, \"source\": 1, \"target\": 8}, {\"weight\": 5447, \"source\": 1, \"target\": 5}, {\"weight\": 12814, \"source\": 1, \"target\": 2}, {\"weight\": 12956, \"source\": 1, \"target\": 6}, {\"weight\": 5321, \"source\": 1, \"target\": 4}, {\"weight\": 2756, \"source\": 2, \"target\": 7}, {\"weight\": 6273, \"source\": 2, \"target\": 3}, {\"weight\": 8872, \"source\": 2, \"target\": 8}, {\"weight\": 7837, \"source\": 2, \"target\": 5}, {\"weight\": 9265, \"source\": 2, \"target\": 6}, {\"weight\": 16748, \"source\": 2, \"target\": 4}, {\"weight\": 8578, \"source\": 3, \"target\": 7}, {\"weight\": 7586, \"source\": 3, \"target\": 8}, {\"weight\": 7050, \"source\": 3, \"target\": 5}, {\"weight\": 15066, \"source\": 3, \"target\": 6}, {\"weight\": 13362, \"source\": 3, \"target\": 4}, {\"weight\": 18986, \"source\": 4, \"target\": 7}, {\"weight\": 9030, \"source\": 4, \"target\": 8}, {\"weight\": 9647, \"source\": 4, \"target\": 5}, {\"weight\": 13105, \"source\": 4, \"target\": 6}, {\"weight\": 10593, \"source\": 5, \"target\": 7}, {\"weight\": 1494, \"source\": 5, \"target\": 8}, {\"weight\": 10331, \"source\": 5, \"target\": 6}, {\"weight\": 12021, \"source\": 6, \"target\": 7}, {\"weight\": 9988, \"source\": 6, \"target\": 8}, {\"weight\": 11628, \"source\": 7, \"target\": 8}]}", "id": 307, "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: MPP, ENU, SEA, SBH, BBK, NQY, OKA, ORI, PSA\n- Travel distances (in kilometers) between each pair of airports:\nMPP to ORI: 8906\nMPP to SBH: 3272\nMPP to PSA: 10428\nMPP to NQY: 9809\nMPP to SEA: 6241\nMPP to OKA: 15464\nMPP to BBK: 14730\nMPP to ENU: 12398\nENU to ORI: 15052\nENU to SBH: 10046\nENU to PSA: 4755\nENU to NQY: 5447\nENU to SEA: 12814\nENU to OKA: 12956\nENU to BBK: 5321\nSEA to ORI: 2756\nSEA to SBH: 6273\nSEA to PSA: 8872\nSEA to NQY: 7837\nSEA to OKA: 9265\nSEA to BBK: 16748\nSBH to ORI: 8578\nSBH to PSA: 7586\nSBH to NQY: 7050\nSBH to OKA: 15066\nSBH to BBK: 13362\nBBK to ORI: 18986\nBBK to PSA: 9030\nBBK to NQY: 9647\nBBK to OKA: 13105\nNQY to ORI: 10593\nNQY to PSA: 1494\nNQY to OKA: 10331\nOKA to ORI: 12021\nOKA to PSA: 9988\nORI to PSA: 11628\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: PTP, MSU, KIR, KZR, YLH, SHJ, JIK, ACZ, DOH\n- Travel distances (in kilometers) between each pair of airports:\nPTP to SHJ: 12002\nPTP to DOH: 11723\nPTP to JIK: 9069\nPTP to KIR: 7407\nPTP to ACZ: 12301\nPTP to MSU: 12531\nPTP to KZR: 9227\nPTP to YLH: 4844\nMSU to SHJ: 6804\nMSU to DOH: 6613\nMSU to JIK: 7957\nMSU to KIR: 10115\nMSU to ACZ: 8652\nMSU to KZR: 8126\nMSU to YLH: 15141\nKIR to SHJ: 6132\nKIR to DOH: 5870\nKIR to JIK: 3275\nKIR to ACZ: 6452\nKIR to KZR: 3378\nKIR to YLH: 6867\nKZR to SHJ: 3318\nKZR to DOH: 3036\nKZR to JIK: 1008\nKZR to ACZ: 3612\nKZR to YLH: 9780\nYLH to SHJ: 12442\nYLH to DOH: 12225\nYLH to JIK: 9688\nYLH to ACZ: 12854\nSHJ to DOH: 397\nSHJ to JIK: 3391\nSHJ to ACZ: 1871\nJIK to DOH: 3040\nJIK to ACZ: 4063\nACZ to DOH: 2039\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]	{ "ground_truth": 41018, "style": "rule" }	{ "exact_answer": 41018, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"PTP\", \"id\": 0}, {\"name\": \"MSU\", \"id\": 1}, {\"name\": \"KIR\", \"id\": 2}, {\"name\": \"KZR\", \"id\": 3}, {\"name\": \"YLH\", \"id\": 4}, {\"name\": \"SHJ\", \"id\": 5}, {\"name\": \"JIK\", \"id\": 6}, {\"name\": \"ACZ\", \"id\": 7}, {\"name\": \"DOH\", \"id\": 8}], \"links\": [{\"weight\": 12002, \"source\": 0, \"target\": 5}, {\"weight\": 11723, \"source\": 0, \"target\": 8}, {\"weight\": 9069, \"source\": 0, \"target\": 6}, {\"weight\": 7407, \"source\": 0, \"target\": 2}, {\"weight\": 12301, \"source\": 0, \"target\": 7}, {\"weight\": 12531, \"source\": 0, \"target\": 1}, {\"weight\": 9227, \"source\": 0, \"target\": 3}, {\"weight\": 4844, \"source\": 0, \"target\": 4}, {\"weight\": 6804, \"source\": 1, \"target\": 5}, {\"weight\": 6613, \"source\": 1, \"target\": 8}, {\"weight\": 7957, \"source\": 1, \"target\": 6}, {\"weight\": 10115, \"source\": 1, \"target\": 2}, {\"weight\": 8652, \"source\": 1, \"target\": 7}, {\"weight\": 8126, \"source\": 1, \"target\": 3}, {\"weight\": 15141, \"source\": 1, \"target\": 4}, {\"weight\": 6132, \"source\": 2, \"target\": 5}, {\"weight\": 5870, \"source\": 2, \"target\": 8}, {\"weight\": 3275, \"source\": 2, \"target\": 6}, {\"weight\": 6452, \"source\": 2, \"target\": 7}, {\"weight\": 3378, \"source\": 2, \"target\": 3}, {\"weight\": 6867, \"source\": 2, \"target\": 4}, {\"weight\": 3318, \"source\": 3, \"target\": 5}, {\"weight\": 3036, \"source\": 3, \"target\": 8}, {\"weight\": 1008, \"source\": 3, \"target\": 6}, {\"weight\": 3612, \"source\": 3, \"target\": 7}, {\"weight\": 9780, \"source\": 3, \"target\": 4}, {\"weight\": 12442, \"source\": 4, \"target\": 5}, {\"weight\": 12225, \"source\": 4, \"target\": 8}, {\"weight\": 9688, \"source\": 4, \"target\": 6}, {\"weight\": 12854, \"source\": 4, \"target\": 7}, {\"weight\": 397, \"source\": 5, \"target\": 8}, {\"weight\": 3391, \"source\": 5, \"target\": 6}, {\"weight\": 1871, \"source\": 5, \"target\": 7}, {\"weight\": 3040, \"source\": 6, \"target\": 8}, {\"weight\": 4063, \"source\": 6, \"target\": 7}, {\"weight\": 2039, \"source\": 7, \"target\": 8}]}", "id": 308, "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: PTP, MSU, KIR, KZR, YLH, SHJ, JIK, ACZ, DOH\n- Travel distances (in kilometers) between each pair of airports:\nPTP to SHJ: 12002\nPTP to DOH: 11723\nPTP to JIK: 9069\nPTP to KIR: 7407\nPTP to ACZ: 12301\nPTP to MSU: 12531\nPTP to KZR: 9227\nPTP to YLH: 4844\nMSU to SHJ: 6804\nMSU to DOH: 6613\nMSU to JIK: 7957\nMSU to KIR: 10115\nMSU to ACZ: 8652\nMSU to KZR: 8126\nMSU to YLH: 15141\nKIR to SHJ: 6132\nKIR to DOH: 5870\nKIR to JIK: 3275\nKIR to ACZ: 6452\nKIR to KZR: 3378\nKIR to YLH: 6867\nKZR to SHJ: 3318\nKZR to DOH: 3036\nKZR to JIK: 1008\nKZR to ACZ: 3612\nKZR to YLH: 9780\nYLH to SHJ: 12442\nYLH to DOH: 12225\nYLH to JIK: 9688\nYLH to ACZ: 12854\nSHJ to DOH: 397\nSHJ to JIK: 3391\nSHJ to ACZ: 1871\nJIK to DOH: 3040\nJIK to ACZ: 4063\nACZ to DOH: 2039\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, PZB, PBD, EIN, MCM, YNO, AMQ, MZW, SKK\n- Travel distances (in kilometers) between each pair of airports:\nVDA to SKK: 14512\nVDA to PBD: 10883\nVDA to MZW: 5298\nVDA to EIN: 4226\nVDA to AMQ: 17004\nVDA to PZB: 12633\nVDA to YNO: 10990\nVDA to MCM: 4163\nPZB to SKK: 19653\nPZB to PBD: 7845\nPZB to MZW: 8806\nPZB to EIN: 9630\nPZB to AMQ: 11928\nPZB to YNO: 15380\nPZB to MCM: 9194\nPBD to SKK: 16914\nPBD to MZW: 7889\nPBD to EIN: 7329\nPBD to AMQ: 7184\nPBD to YNO: 14500\nPBD to MCM: 7069\nEIN to SKK: 11064\nEIN to MZW: 2133\nEIN to AMQ: 13357\nEIN to YNO: 7596\nEIN to MCM: 893\nMCM to SKK: 11769\nMCM to MZW: 1338\nMCM to AMQ: 13306\nMCM to YNO: 8170\nYNO to SKK: 5370\nYNO to MZW: 8775\nYNO to AMQ: 16055\nAMQ to SKK: 17109\nAMQ to MZW: 14196\nMZW to SKK: 12814\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]	{ "ground_truth": 63637, "style": "rule" }	{ "exact_answer": 63637, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"VDA\", \"id\": 0}, {\"name\": \"PZB\", \"id\": 1}, {\"name\": \"PBD\", \"id\": 2}, {\"name\": \"EIN\", \"id\": 3}, {\"name\": \"MCM\", \"id\": 4}, {\"name\": \"YNO\", \"id\": 5}, {\"name\": \"AMQ\", \"id\": 6}, {\"name\": \"MZW\", \"id\": 7}, {\"name\": \"SKK\", \"id\": 8}], \"links\": [{\"weight\": 14512, \"source\": 0, \"target\": 8}, {\"weight\": 10883, \"source\": 0, \"target\": 2}, {\"weight\": 5298, \"source\": 0, \"target\": 7}, {\"weight\": 4226, \"source\": 0, \"target\": 3}, {\"weight\": 17004, \"source\": 0, \"target\": 6}, {\"weight\": 12633, \"source\": 0, \"target\": 1}, {\"weight\": 10990, \"source\": 0, \"target\": 5}, {\"weight\": 4163, \"source\": 0, \"target\": 4}, {\"weight\": 19653, \"source\": 1, \"target\": 8}, {\"weight\": 7845, \"source\": 1, \"target\": 2}, {\"weight\": 8806, \"source\": 1, \"target\": 7}, {\"weight\": 9630, \"source\": 1, \"target\": 3}, {\"weight\": 11928, \"source\": 1, \"target\": 6}, {\"weight\": 15380, \"source\": 1, \"target\": 5}, {\"weight\": 9194, \"source\": 1, \"target\": 4}, {\"weight\": 16914, \"source\": 2, \"target\": 8}, {\"weight\": 7889, \"source\": 2, \"target\": 7}, {\"weight\": 7329, \"source\": 2, \"target\": 3}, {\"weight\": 7184, \"source\": 2, \"target\": 6}, {\"weight\": 14500, \"source\": 2, \"target\": 5}, {\"weight\": 7069, \"source\": 2, \"target\": 4}, {\"weight\": 11064, \"source\": 3, \"target\": 8}, {\"weight\": 2133, \"source\": 3, \"target\": 7}, {\"weight\": 13357, \"source\": 3, \"target\": 6}, {\"weight\": 7596, \"source\": 3, \"target\": 5}, {\"weight\": 893, \"source\": 3, \"target\": 4}, {\"weight\": 11769, \"source\": 4, \"target\": 8}, {\"weight\": 1338, \"source\": 4, \"target\": 7}, {\"weight\": 13306, \"source\": 4, \"target\": 6}, {\"weight\": 8170, \"source\": 4, \"target\": 5}, {\"weight\": 5370, \"source\": 5, \"target\": 8}, {\"weight\": 8775, \"source\": 5, \"target\": 7}, {\"weight\": 16055, \"source\": 5, \"target\": 6}, {\"weight\": 17109, \"source\": 6, \"target\": 8}, {\"weight\": 14196, \"source\": 6, \"target\": 7}, {\"weight\": 12814, \"source\": 7, \"target\": 8}]}", "id": 309, "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, PZB, PBD, EIN, MCM, YNO, AMQ, MZW, SKK\n- Travel distances (in kilometers) between each pair of airports:\nVDA to SKK: 14512\nVDA to PBD: 10883\nVDA to MZW: 5298\nVDA to EIN: 4226\nVDA to AMQ: 17004\nVDA to PZB: 12633\nVDA to YNO: 10990\nVDA to MCM: 4163\nPZB to SKK: 19653\nPZB to PBD: 7845\nPZB to MZW: 8806\nPZB to EIN: 9630\nPZB to AMQ: 11928\nPZB to YNO: 15380\nPZB to MCM: 9194\nPBD to SKK: 16914\nPBD to MZW: 7889\nPBD to EIN: 7329\nPBD to AMQ: 7184\nPBD to YNO: 14500\nPBD to MCM: 7069\nEIN to SKK: 11064\nEIN to MZW: 2133\nEIN to AMQ: 13357\nEIN to YNO: 7596\nEIN to MCM: 893\nMCM to SKK: 11769\nMCM to MZW: 1338\nMCM to AMQ: 13306\nMCM to YNO: 8170\nYNO to SKK: 5370\nYNO to MZW: 8775\nYNO to AMQ: 16055\nAMQ to SKK: 17109\nAMQ to MZW: 14196\nMZW to SKK: 12814\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: CKZ, PNQ, SCY, KCK, KRP, NQN, CJB, TKX, MAJ\n- Travel distances (in kilometers) between each pair of airports:\nCKZ to KCK: 6825\nCKZ to SCY: 13739\nCKZ to PNQ: 5158\nCKZ to CJB: 5984\nCKZ to NQN: 14177\nCKZ to KRP: 3150\nCKZ to MAJ: 14778\nCKZ to TKX: 19154\nPNQ to KCK: 6104\nPNQ to SCY: 17761\nPNQ to CJB: 966\nPNQ to NQN: 16573\nPNQ to KRP: 6841\nPNQ to MAJ: 10814\nPNQ to TKX: 16631\nSCY to KCK: 17541\nSCY to CJB: 18531\nSCY to NQN: 5567\nSCY to KRP: 11756\nSCY to MAJ: 14554\nSCY to TKX: 13286\nKCK to CJB: 6898\nKCK to NQN: 19303\nKCK to KRP: 6465\nKCK to MAJ: 9603\nKCK to TKX: 14073\nKRP to CJB: 7718\nKRP to NQN: 13312\nKRP to MAJ: 14596\nKRP to TKX: 16468\nNQN to CJB: 17398\nNQN to MAJ: 15530\nNQN to TKX: 9475\nCJB to MAJ: 10604\nCJB to TKX: 15985\nTKX to MAJ: 8681\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]	{ "ground_truth": 61254, "style": "rule" }	{ "exact_answer": 61254, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"CKZ\", \"id\": 0}, {\"name\": \"PNQ\", \"id\": 1}, {\"name\": \"SCY\", \"id\": 2}, {\"name\": \"KCK\", \"id\": 3}, {\"name\": \"KRP\", \"id\": 4}, {\"name\": \"NQN\", \"id\": 5}, {\"name\": \"CJB\", \"id\": 6}, {\"name\": \"TKX\", \"id\": 7}, {\"name\": \"MAJ\", \"id\": 8}], \"links\": [{\"weight\": 6825, \"source\": 0, \"target\": 3}, {\"weight\": 13739, \"source\": 0, \"target\": 2}, {\"weight\": 5158, \"source\": 0, \"target\": 1}, {\"weight\": 5984, \"source\": 0, \"target\": 6}, {\"weight\": 14177, \"source\": 0, \"target\": 5}, {\"weight\": 3150, \"source\": 0, \"target\": 4}, {\"weight\": 14778, \"source\": 0, \"target\": 8}, {\"weight\": 19154, \"source\": 0, \"target\": 7}, {\"weight\": 6104, \"source\": 1, \"target\": 3}, {\"weight\": 17761, \"source\": 1, \"target\": 2}, {\"weight\": 966, \"source\": 1, \"target\": 6}, {\"weight\": 16573, \"source\": 1, \"target\": 5}, {\"weight\": 6841, \"source\": 1, \"target\": 4}, {\"weight\": 10814, \"source\": 1, \"target\": 8}, {\"weight\": 16631, \"source\": 1, \"target\": 7}, {\"weight\": 17541, \"source\": 2, \"target\": 3}, {\"weight\": 18531, \"source\": 2, \"target\": 6}, {\"weight\": 5567, \"source\": 2, \"target\": 5}, {\"weight\": 11756, \"source\": 2, \"target\": 4}, {\"weight\": 14554, \"source\": 2, \"target\": 8}, {\"weight\": 13286, \"source\": 2, \"target\": 7}, {\"weight\": 6898, \"source\": 3, \"target\": 6}, {\"weight\": 19303, \"source\": 3, \"target\": 5}, {\"weight\": 6465, \"source\": 3, \"target\": 4}, {\"weight\": 9603, \"source\": 3, \"target\": 8}, {\"weight\": 14073, \"source\": 3, \"target\": 7}, {\"weight\": 7718, \"source\": 4, \"target\": 6}, {\"weight\": 13312, \"source\": 4, \"target\": 5}, {\"weight\": 14596, \"source\": 4, \"target\": 8}, {\"weight\": 16468, \"source\": 4, \"target\": 7}, {\"weight\": 17398, \"source\": 5, \"target\": 6}, {\"weight\": 15530, \"source\": 5, \"target\": 8}, {\"weight\": 9475, \"source\": 5, \"target\": 7}, {\"weight\": 10604, \"source\": 6, \"target\": 8}, {\"weight\": 15985, \"source\": 6, \"target\": 7}, {\"weight\": 8681, \"source\": 7, \"target\": 8}]}", "id": 310, "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: CKZ, PNQ, SCY, KCK, KRP, NQN, CJB, TKX, MAJ\n- Travel distances (in kilometers) between each pair of airports:\nCKZ to KCK: 6825\nCKZ to SCY: 13739\nCKZ to PNQ: 5158\nCKZ to CJB: 5984\nCKZ to NQN: 14177\nCKZ to KRP: 3150\nCKZ to MAJ: 14778\nCKZ to TKX: 19154\nPNQ to KCK: 6104\nPNQ to SCY: 17761\nPNQ to CJB: 966\nPNQ to NQN: 16573\nPNQ to KRP: 6841\nPNQ to MAJ: 10814\nPNQ to TKX: 16631\nSCY to KCK: 17541\nSCY to CJB: 18531\nSCY to NQN: 5567\nSCY to KRP: 11756\nSCY to MAJ: 14554\nSCY to TKX: 13286\nKCK to CJB: 6898\nKCK to NQN: 19303\nKCK to KRP: 6465\nKCK to MAJ: 9603\nKCK to TKX: 14073\nKRP to CJB: 7718\nKRP to NQN: 13312\nKRP to MAJ: 14596\nKRP to TKX: 16468\nNQN to CJB: 17398\nNQN to MAJ: 15530\nNQN to TKX: 9475\nCJB to MAJ: 10604\nCJB to TKX: 15985\nTKX to MAJ: 8681\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: BUQ, ILM, SUF, MLA, FSC, CGP, KUL, BSO, HLZ\n- Travel distances (in kilometers) between each pair of airports:\nBUQ to BSO: 12350\nBUQ to KUL: 9192\nBUQ to CGP: 8848\nBUQ to SUF: 7982\nBUQ to FSC: 8682\nBUQ to ILM: 13837\nBUQ to MLA: 7606\nBUQ to HLZ: 13970\nILM to BSO: 14985\nILM to KUL: 16067\nILM to CGP: 14208\nILM to SUF: 8136\nILM to FSC: 7506\nILM to MLA: 8198\nILM to HLZ: 14299\nSUF to BSO: 11446\nSUF to KUL: 9980\nSUF to CGP: 7815\nSUF to FSC: 1211\nSUF to MLA: 376\nSUF to HLZ: 18740\nMLA to BSO: 11195\nMLA to KUL: 9604\nMLA to CGP: 7524\nMLA to FSC: 1432\nMLA to HLZ: 18364\nFSC to BSO: 11677\nFSC to KUL: 10454\nFSC to CGP: 8260\nFSC to HLZ: 19140\nCGP to KUL: 2417\nCGP to BSO: 4194\nCGP to HLZ: 11001\nKUL to BSO: 3158\nKUL to HLZ: 8810\nBSO to HLZ: 9087\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]	{ "ground_truth": 54508, "style": "rule" }	{ "exact_answer": 54508, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"BUQ\", \"id\": 0}, {\"name\": \"ILM\", \"id\": 1}, {\"name\": \"SUF\", \"id\": 2}, {\"name\": \"MLA\", \"id\": 3}, {\"name\": \"FSC\", \"id\": 4}, {\"name\": \"CGP\", \"id\": 5}, {\"name\": \"KUL\", \"id\": 6}, {\"name\": \"BSO\", \"id\": 7}, {\"name\": \"HLZ\", \"id\": 8}], \"links\": [{\"weight\": 12350, \"source\": 0, \"target\": 7}, {\"weight\": 9192, \"source\": 0, \"target\": 6}, {\"weight\": 8848, \"source\": 0, \"target\": 5}, {\"weight\": 7982, \"source\": 0, \"target\": 2}, {\"weight\": 8682, \"source\": 0, \"target\": 4}, {\"weight\": 13837, \"source\": 0, \"target\": 1}, {\"weight\": 7606, \"source\": 0, \"target\": 3}, {\"weight\": 13970, \"source\": 0, \"target\": 8}, {\"weight\": 14985, \"source\": 1, \"target\": 7}, {\"weight\": 16067, \"source\": 1, \"target\": 6}, {\"weight\": 14208, \"source\": 1, \"target\": 5}, {\"weight\": 8136, \"source\": 1, \"target\": 2}, {\"weight\": 7506, \"source\": 1, \"target\": 4}, {\"weight\": 8198, \"source\": 1, \"target\": 3}, {\"weight\": 14299, \"source\": 1, \"target\": 8}, {\"weight\": 11446, \"source\": 2, \"target\": 7}, {\"weight\": 9980, \"source\": 2, \"target\": 6}, {\"weight\": 7815, \"source\": 2, \"target\": 5}, {\"weight\": 1211, \"source\": 2, \"target\": 4}, {\"weight\": 376, \"source\": 2, \"target\": 3}, {\"weight\": 18740, \"source\": 2, \"target\": 8}, {\"weight\": 11195, \"source\": 3, \"target\": 7}, {\"weight\": 9604, \"source\": 3, \"target\": 6}, {\"weight\": 7524, \"source\": 3, \"target\": 5}, {\"weight\": 1432, \"source\": 3, \"target\": 4}, {\"weight\": 18364, \"source\": 3, \"target\": 8}, {\"weight\": 11677, \"source\": 4, \"target\": 7}, {\"weight\": 10454, \"source\": 4, \"target\": 6}, {\"weight\": 8260, \"source\": 4, \"target\": 5}, {\"weight\": 19140, \"source\": 4, \"target\": 8}, {\"weight\": 2417, \"source\": 5, \"target\": 6}, {\"weight\": 4194, \"source\": 5, \"target\": 7}, {\"weight\": 11001, \"source\": 5, \"target\": 8}, {\"weight\": 3158, \"source\": 6, \"target\": 7}, {\"weight\": 8810, \"source\": 6, \"target\": 8}, {\"weight\": 9087, \"source\": 7, \"target\": 8}]}", "id": 311, "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: BUQ, ILM, SUF, MLA, FSC, CGP, KUL, BSO, HLZ\n- Travel distances (in kilometers) between each pair of airports:\nBUQ to BSO: 12350\nBUQ to KUL: 9192\nBUQ to CGP: 8848\nBUQ to SUF: 7982\nBUQ to FSC: 8682\nBUQ to ILM: 13837\nBUQ to MLA: 7606\nBUQ to HLZ: 13970\nILM to BSO: 14985\nILM to KUL: 16067\nILM to CGP: 14208\nILM to SUF: 8136\nILM to FSC: 7506\nILM to MLA: 8198\nILM to HLZ: 14299\nSUF to BSO: 11446\nSUF to KUL: 9980\nSUF to CGP: 7815\nSUF to FSC: 1211\nSUF to MLA: 376\nSUF to HLZ: 18740\nMLA to BSO: 11195\nMLA to KUL: 9604\nMLA to CGP: 7524\nMLA to FSC: 1432\nMLA to HLZ: 18364\nFSC to BSO: 11677\nFSC to KUL: 10454\nFSC to CGP: 8260\nFSC to HLZ: 19140\nCGP to KUL: 2417\nCGP to BSO: 4194\nCGP to HLZ: 11001\nKUL to BSO: 3158\nKUL to HLZ: 8810\nBSO to HLZ: 9087\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: UPK, RBQ, BZL, ELI, SNW, SKT, ELU, VLS, KID\n- Travel distances (in kilometers) between each pair of airports:\nUPK to BZL: 11562\nUPK to SNW: 12619\nUPK to ELI: 11416\nUPK to ELU: 6465\nUPK to SKT: 9528\nUPK to VLS: 18725\nUPK to KID: 5083\nUPK to RBQ: 13299\nRBQ to BZL: 18455\nRBQ to SNW: 19402\nRBQ to ELI: 12330\nRBQ to ELU: 10912\nRBQ to SKT: 16524\nRBQ to VLS: 14158\nRBQ to KID: 12783\nBZL to SNW: 1350\nBZL to ELI: 15300\nBZL to ELU: 8812\nBZL to SKT: 2402\nBZL to VLS: 10378\nBZL to KID: 7594\nELI to SNW: 15317\nELI to ELU: 12943\nELI to SKT: 15891\nELI to VLS: 11458\nELI to KID: 11561\nSNW to ELU: 9896\nSNW to SKT: 3459\nSNW to VLS: 9770\nSNW to KID: 8651\nSKT to ELU: 6876\nSKT to VLS: 12456\nSKT to KID: 5734\nELU to VLS: 18576\nELU to KID: 3716\nVLS to KID: 16304\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]	{ "ground_truth": 65504, "style": "rule" }	{ "exact_answer": 65504, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"UPK\", \"id\": 0}, {\"name\": \"RBQ\", \"id\": 1}, {\"name\": \"BZL\", \"id\": 2}, {\"name\": \"ELI\", \"id\": 3}, {\"name\": \"SNW\", \"id\": 4}, {\"name\": \"SKT\", \"id\": 5}, {\"name\": \"ELU\", \"id\": 6}, {\"name\": \"VLS\", \"id\": 7}, {\"name\": \"KID\", \"id\": 8}], \"links\": [{\"weight\": 11562, \"source\": 0, \"target\": 2}, {\"weight\": 12619, \"source\": 0, \"target\": 4}, {\"weight\": 11416, \"source\": 0, \"target\": 3}, {\"weight\": 6465, \"source\": 0, \"target\": 6}, {\"weight\": 9528, \"source\": 0, \"target\": 5}, {\"weight\": 18725, \"source\": 0, \"target\": 7}, {\"weight\": 5083, \"source\": 0, \"target\": 8}, {\"weight\": 13299, \"source\": 0, \"target\": 1}, {\"weight\": 18455, \"source\": 1, \"target\": 2}, {\"weight\": 19402, \"source\": 1, \"target\": 4}, {\"weight\": 12330, \"source\": 1, \"target\": 3}, {\"weight\": 10912, \"source\": 1, \"target\": 6}, {\"weight\": 16524, \"source\": 1, \"target\": 5}, {\"weight\": 14158, \"source\": 1, \"target\": 7}, {\"weight\": 12783, \"source\": 1, \"target\": 8}, {\"weight\": 1350, \"source\": 2, \"target\": 4}, {\"weight\": 15300, \"source\": 2, \"target\": 3}, {\"weight\": 8812, \"source\": 2, \"target\": 6}, {\"weight\": 2402, \"source\": 2, \"target\": 5}, {\"weight\": 10378, \"source\": 2, \"target\": 7}, {\"weight\": 7594, \"source\": 2, \"target\": 8}, {\"weight\": 15317, \"source\": 3, \"target\": 4}, {\"weight\": 12943, \"source\": 3, \"target\": 6}, {\"weight\": 15891, \"source\": 3, \"target\": 5}, {\"weight\": 11458, \"source\": 3, \"target\": 7}, {\"weight\": 11561, \"source\": 3, \"target\": 8}, {\"weight\": 9896, \"source\": 4, \"target\": 6}, {\"weight\": 3459, \"source\": 4, \"target\": 5}, {\"weight\": 9770, \"source\": 4, \"target\": 7}, {\"weight\": 8651, \"source\": 4, \"target\": 8}, {\"weight\": 6876, \"source\": 5, \"target\": 6}, {\"weight\": 12456, \"source\": 5, \"target\": 7}, {\"weight\": 5734, \"source\": 5, \"target\": 8}, {\"weight\": 18576, \"source\": 6, \"target\": 7}, {\"weight\": 3716, \"source\": 6, \"target\": 8}, {\"weight\": 16304, \"source\": 7, \"target\": 8}]}", "id": 312, "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: UPK, RBQ, BZL, ELI, SNW, SKT, ELU, VLS, KID\n- Travel distances (in kilometers) between each pair of airports:\nUPK to BZL: 11562\nUPK to SNW: 12619\nUPK to ELI: 11416\nUPK to ELU: 6465\nUPK to SKT: 9528\nUPK to VLS: 18725\nUPK to KID: 5083\nUPK to RBQ: 13299\nRBQ to BZL: 18455\nRBQ to SNW: 19402\nRBQ to ELI: 12330\nRBQ to ELU: 10912\nRBQ to SKT: 16524\nRBQ to VLS: 14158\nRBQ to KID: 12783\nBZL to SNW: 1350\nBZL to ELI: 15300\nBZL to ELU: 8812\nBZL to SKT: 2402\nBZL to VLS: 10378\nBZL to KID: 7594\nELI to SNW: 15317\nELI to ELU: 12943\nELI to SKT: 15891\nELI to VLS: 11458\nELI to KID: 11561\nSNW to ELU: 9896\nSNW to SKT: 3459\nSNW to VLS: 9770\nSNW to KID: 8651\nSKT to ELU: 6876\nSKT to VLS: 12456\nSKT to KID: 5734\nELU to VLS: 18576\nELU to KID: 3716\nVLS to KID: 16304\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: KRO, SXP, NDR, MRZ, CYF, DAY, PDA, SPR, MBS\n- Travel distances (in kilometers) between each pair of airports:\nKRO to NDR: 5567\nKRO to CYF: 13778\nKRO to SXP: 13790\nKRO to MBS: 9523\nKRO to SPR: 11992\nKRO to PDA: 13179\nKRO to DAY: 9592\nKRO to MRZ: 14054\nSXP to NDR: 12499\nSXP to CYF: 448\nSXP to MBS: 5587\nSXP to SPR: 7664\nSXP to PDA: 10327\nSXP to DAY: 5756\nSXP to MRZ: 13956\nNDR to CYF: 12487\nNDR to MBS: 7139\nNDR to SPR: 9040\nNDR to PDA: 8791\nNDR to DAY: 7166\nNDR to MRZ: 18420\nMRZ to CYF: 13944\nMRZ to MBS: 15727\nMRZ to SPR: 16127\nMRZ to PDA: 16796\nMRZ to DAY: 15696\nCYF to MBS: 5575\nCYF to SPR: 7652\nCYF to PDA: 10315\nCYF to DAY: 5744\nDAY to MBS: 424\nDAY to SPR: 2582\nDAY to PDA: 4743\nPDA to MBS: 5133\nPDA to SPR: 2909\nSPR to MBS: 2986\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]	{ "ground_truth": 54306, "style": "rule" }	{ "exact_answer": 54306, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"KRO\", \"id\": 0}, {\"name\": \"SXP\", \"id\": 1}, {\"name\": \"NDR\", \"id\": 2}, {\"name\": \"MRZ\", \"id\": 3}, {\"name\": \"CYF\", \"id\": 4}, {\"name\": \"DAY\", \"id\": 5}, {\"name\": \"PDA\", \"id\": 6}, {\"name\": \"SPR\", \"id\": 7}, {\"name\": \"MBS\", \"id\": 8}], \"links\": [{\"weight\": 5567, \"source\": 0, \"target\": 2}, {\"weight\": 13778, \"source\": 0, \"target\": 4}, {\"weight\": 13790, \"source\": 0, \"target\": 1}, {\"weight\": 9523, \"source\": 0, \"target\": 8}, {\"weight\": 11992, \"source\": 0, \"target\": 7}, {\"weight\": 13179, \"source\": 0, \"target\": 6}, {\"weight\": 9592, \"source\": 0, \"target\": 5}, {\"weight\": 14054, \"source\": 0, \"target\": 3}, {\"weight\": 12499, \"source\": 1, \"target\": 2}, {\"weight\": 448, \"source\": 1, \"target\": 4}, {\"weight\": 5587, \"source\": 1, \"target\": 8}, {\"weight\": 7664, \"source\": 1, \"target\": 7}, {\"weight\": 10327, \"source\": 1, \"target\": 6}, {\"weight\": 5756, \"source\": 1, \"target\": 5}, {\"weight\": 13956, \"source\": 1, \"target\": 3}, {\"weight\": 12487, \"source\": 2, \"target\": 4}, {\"weight\": 7139, \"source\": 2, \"target\": 8}, {\"weight\": 9040, \"source\": 2, \"target\": 7}, {\"weight\": 8791, \"source\": 2, \"target\": 6}, {\"weight\": 7166, \"source\": 2, \"target\": 5}, {\"weight\": 18420, \"source\": 2, \"target\": 3}, {\"weight\": 13944, \"source\": 3, \"target\": 4}, {\"weight\": 15727, \"source\": 3, \"target\": 8}, {\"weight\": 16127, \"source\": 3, \"target\": 7}, {\"weight\": 16796, \"source\": 3, \"target\": 6}, {\"weight\": 15696, \"source\": 3, \"target\": 5}, {\"weight\": 5575, \"source\": 4, \"target\": 8}, {\"weight\": 7652, \"source\": 4, \"target\": 7}, {\"weight\": 10315, \"source\": 4, \"target\": 6}, {\"weight\": 5744, \"source\": 4, \"target\": 5}, {\"weight\": 424, \"source\": 5, \"target\": 8}, {\"weight\": 2582, \"source\": 5, \"target\": 7}, {\"weight\": 4743, \"source\": 5, \"target\": 6}, {\"weight\": 5133, \"source\": 6, \"target\": 8}, {\"weight\": 2909, \"source\": 6, \"target\": 7}, {\"weight\": 2986, \"source\": 7, \"target\": 8}]}", "id": 313, "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: KRO, SXP, NDR, MRZ, CYF, DAY, PDA, SPR, MBS\n- Travel distances (in kilometers) between each pair of airports:\nKRO to NDR: 5567\nKRO to CYF: 13778\nKRO to SXP: 13790\nKRO to MBS: 9523\nKRO to SPR: 11992\nKRO to PDA: 13179\nKRO to DAY: 9592\nKRO to MRZ: 14054\nSXP to NDR: 12499\nSXP to CYF: 448\nSXP to MBS: 5587\nSXP to SPR: 7664\nSXP to PDA: 10327\nSXP to DAY: 5756\nSXP to MRZ: 13956\nNDR to CYF: 12487\nNDR to MBS: 7139\nNDR to SPR: 9040\nNDR to PDA: 8791\nNDR to DAY: 7166\nNDR to MRZ: 18420\nMRZ to CYF: 13944\nMRZ to MBS: 15727\nMRZ to SPR: 16127\nMRZ to PDA: 16796\nMRZ to DAY: 15696\nCYF to MBS: 5575\nCYF to SPR: 7652\nCYF to PDA: 10315\nCYF to DAY: 5744\nDAY to MBS: 424\nDAY to SPR: 2582\nDAY to PDA: 4743\nPDA to MBS: 5133\nPDA to SPR: 2909\nSPR to MBS: 2986\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: SJJ, NQU, HAM, WNR, BLV, WUS, KUH, BTH, TNR\n- Travel distances (in kilometers) between each pair of airports:\nSJJ to HAM: 1261\nSJJ to NQU: 10391\nSJJ to TNR: 7882\nSJJ to WUS: 8880\nSJJ to BTH: 9850\nSJJ to BLV: 9976\nSJJ to KUH: 9228\nSJJ to WNR: 15143\nNQU to HAM: 9649\nNQU to TNR: 14337\nNQU to WUS: 16633\nNQU to BTH: 19825\nNQU to BLV: 4522\nNQU to KUH: 15467\nNQU to WNR: 17712\nHAM to TNR: 8903\nHAM to WUS: 8729\nHAM to BTH: 10283\nHAM to BLV: 8959\nHAM to KUH: 9053\nHAM to WNR: 15451\nWNR to TNR: 11671\nWNR to WUS: 6913\nWNR to BTH: 5630\nWNR to BLV: 17521\nWNR to KUH: 8561\nBLV to TNR: 17163\nBLV to WUS: 14874\nBLV to BTH: 18368\nBLV to KUH: 13968\nWUS to TNR: 9239\nWUS to BTH: 3761\nWUS to KUH: 3161\nKUH to TNR: 12141\nKUH to BTH: 6605\nBTH to TNR: 7090\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]	{ "ground_truth": 60076, "style": "rule" }	{ "exact_answer": 60076, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"SJJ\", \"id\": 0}, {\"name\": \"NQU\", \"id\": 1}, {\"name\": \"HAM\", \"id\": 2}, {\"name\": \"WNR\", \"id\": 3}, {\"name\": \"BLV\", \"id\": 4}, {\"name\": \"WUS\", \"id\": 5}, {\"name\": \"KUH\", \"id\": 6}, {\"name\": \"BTH\", \"id\": 7}, {\"name\": \"TNR\", \"id\": 8}], \"links\": [{\"weight\": 1261, \"source\": 0, \"target\": 2}, {\"weight\": 10391, \"source\": 0, \"target\": 1}, {\"weight\": 7882, \"source\": 0, \"target\": 8}, {\"weight\": 8880, \"source\": 0, \"target\": 5}, {\"weight\": 9850, \"source\": 0, \"target\": 7}, {\"weight\": 9976, \"source\": 0, \"target\": 4}, {\"weight\": 9228, \"source\": 0, \"target\": 6}, {\"weight\": 15143, \"source\": 0, \"target\": 3}, {\"weight\": 9649, \"source\": 1, \"target\": 2}, {\"weight\": 14337, \"source\": 1, \"target\": 8}, {\"weight\": 16633, \"source\": 1, \"target\": 5}, {\"weight\": 19825, \"source\": 1, \"target\": 7}, {\"weight\": 4522, \"source\": 1, \"target\": 4}, {\"weight\": 15467, \"source\": 1, \"target\": 6}, {\"weight\": 17712, \"source\": 1, \"target\": 3}, {\"weight\": 8903, \"source\": 2, \"target\": 8}, {\"weight\": 8729, \"source\": 2, \"target\": 5}, {\"weight\": 10283, \"source\": 2, \"target\": 7}, {\"weight\": 8959, \"source\": 2, \"target\": 4}, {\"weight\": 9053, \"source\": 2, \"target\": 6}, {\"weight\": 15451, \"source\": 2, \"target\": 3}, {\"weight\": 11671, \"source\": 3, \"target\": 8}, {\"weight\": 6913, \"source\": 3, \"target\": 5}, {\"weight\": 5630, \"source\": 3, \"target\": 7}, {\"weight\": 17521, \"source\": 3, \"target\": 4}, {\"weight\": 8561, \"source\": 3, \"target\": 6}, {\"weight\": 17163, \"source\": 4, \"target\": 8}, {\"weight\": 14874, \"source\": 4, \"target\": 5}, {\"weight\": 18368, \"source\": 4, \"target\": 7}, {\"weight\": 13968, \"source\": 4, \"target\": 6}, {\"weight\": 9239, \"source\": 5, \"target\": 8}, {\"weight\": 3761, \"source\": 5, \"target\": 7}, {\"weight\": 3161, \"source\": 5, \"target\": 6}, {\"weight\": 12141, \"source\": 6, \"target\": 8}, {\"weight\": 6605, \"source\": 6, \"target\": 7}, {\"weight\": 7090, \"source\": 7, \"target\": 8}]}", "id": 314, "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: SJJ, NQU, HAM, WNR, BLV, WUS, KUH, BTH, TNR\n- Travel distances (in kilometers) between each pair of airports:\nSJJ to HAM: 1261\nSJJ to NQU: 10391\nSJJ to TNR: 7882\nSJJ to WUS: 8880\nSJJ to BTH: 9850\nSJJ to BLV: 9976\nSJJ to KUH: 9228\nSJJ to WNR: 15143\nNQU to HAM: 9649\nNQU to TNR: 14337\nNQU to WUS: 16633\nNQU to BTH: 19825\nNQU to BLV: 4522\nNQU to KUH: 15467\nNQU to WNR: 17712\nHAM to TNR: 8903\nHAM to WUS: 8729\nHAM to BTH: 10283\nHAM to BLV: 8959\nHAM to KUH: 9053\nHAM to WNR: 15451\nWNR to TNR: 11671\nWNR to WUS: 6913\nWNR to BTH: 5630\nWNR to BLV: 17521\nWNR to KUH: 8561\nBLV to TNR: 17163\nBLV to WUS: 14874\nBLV to BTH: 18368\nBLV to KUH: 13968\nWUS to TNR: 9239\nWUS to BTH: 3761\nWUS to KUH: 3161\nKUH to TNR: 12141\nKUH to BTH: 6605\nBTH to TNR: 7090\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: PUM, PNS, SML, GDZ, LTI, KMI, LXG, DUR, BEU\n- Travel distances (in kilometers) between each pair of airports:\nPUM to PNS: 16966\nPUM to DUR: 10649\nPUM to KMI: 4981\nPUM to LTI: 7116\nPUM to SML: 18099\nPUM to BEU: 4269\nPUM to LXG: 4241\nPUM to GDZ: 11748\nPNS to DUR: 14520\nPNS to KMI: 12217\nPNS to LTI: 13849\nPNS to SML: 1405\nPNS to BEU: 15935\nPNS to LXG: 15027\nPNS to GDZ: 10362\nSML to DUR: 14610\nSML to KMI: 13376\nSML to LTI: 14913\nSML to BEU: 17331\nSML to LXG: 16091\nSML to GDZ: 10749\nGDZ to DUR: 10933\nGDZ to KMI: 8624\nGDZ to LTI: 6744\nGDZ to BEU: 14446\nGDZ to LXG: 8836\nLTI to DUR: 12698\nLTI to KMI: 3582\nLTI to BEU: 9780\nLTI to LXG: 5192\nKMI to DUR: 12672\nKMI to BEU: 7325\nKMI to LXG: 3703\nLXG to DUR: 10373\nLXG to BEU: 7268\nDUR to BEU: 13134\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]	{ "ground_truth": 62050, "style": "rule" }	{ "exact_answer": 62050, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"PUM\", \"id\": 0}, {\"name\": \"PNS\", \"id\": 1}, {\"name\": \"SML\", \"id\": 2}, {\"name\": \"GDZ\", \"id\": 3}, {\"name\": \"LTI\", \"id\": 4}, {\"name\": \"KMI\", \"id\": 5}, {\"name\": \"LXG\", \"id\": 6}, {\"name\": \"DUR\", \"id\": 7}, {\"name\": \"BEU\", \"id\": 8}], \"links\": [{\"weight\": 16966, \"source\": 0, \"target\": 1}, {\"weight\": 10649, \"source\": 0, \"target\": 7}, {\"weight\": 4981, \"source\": 0, \"target\": 5}, {\"weight\": 7116, \"source\": 0, \"target\": 4}, {\"weight\": 18099, \"source\": 0, \"target\": 2}, {\"weight\": 4269, \"source\": 0, \"target\": 8}, {\"weight\": 4241, \"source\": 0, \"target\": 6}, {\"weight\": 11748, \"source\": 0, \"target\": 3}, {\"weight\": 14520, \"source\": 1, \"target\": 7}, {\"weight\": 12217, \"source\": 1, \"target\": 5}, {\"weight\": 13849, \"source\": 1, \"target\": 4}, {\"weight\": 1405, \"source\": 1, \"target\": 2}, {\"weight\": 15935, \"source\": 1, \"target\": 8}, {\"weight\": 15027, \"source\": 1, \"target\": 6}, {\"weight\": 10362, \"source\": 1, \"target\": 3}, {\"weight\": 14610, \"source\": 2, \"target\": 7}, {\"weight\": 13376, \"source\": 2, \"target\": 5}, {\"weight\": 14913, \"source\": 2, \"target\": 4}, {\"weight\": 17331, \"source\": 2, \"target\": 8}, {\"weight\": 16091, \"source\": 2, \"target\": 6}, {\"weight\": 10749, \"source\": 2, \"target\": 3}, {\"weight\": 10933, \"source\": 3, \"target\": 7}, {\"weight\": 8624, \"source\": 3, \"target\": 5}, {\"weight\": 6744, \"source\": 3, \"target\": 4}, {\"weight\": 14446, \"source\": 3, \"target\": 8}, {\"weight\": 8836, \"source\": 3, \"target\": 6}, {\"weight\": 12698, \"source\": 4, \"target\": 7}, {\"weight\": 3582, \"source\": 4, \"target\": 5}, {\"weight\": 9780, \"source\": 4, \"target\": 8}, {\"weight\": 5192, \"source\": 4, \"target\": 6}, {\"weight\": 12672, \"source\": 5, \"target\": 7}, {\"weight\": 7325, \"source\": 5, \"target\": 8}, {\"weight\": 3703, \"source\": 5, \"target\": 6}, {\"weight\": 10373, \"source\": 6, \"target\": 7}, {\"weight\": 7268, \"source\": 6, \"target\": 8}, {\"weight\": 13134, \"source\": 7, \"target\": 8}]}", "id": 315, "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: PUM, PNS, SML, GDZ, LTI, KMI, LXG, DUR, BEU\n- Travel distances (in kilometers) between each pair of airports:\nPUM to PNS: 16966\nPUM to DUR: 10649\nPUM to KMI: 4981\nPUM to LTI: 7116\nPUM to SML: 18099\nPUM to BEU: 4269\nPUM to LXG: 4241\nPUM to GDZ: 11748\nPNS to DUR: 14520\nPNS to KMI: 12217\nPNS to LTI: 13849\nPNS to SML: 1405\nPNS to BEU: 15935\nPNS to LXG: 15027\nPNS to GDZ: 10362\nSML to DUR: 14610\nSML to KMI: 13376\nSML to LTI: 14913\nSML to BEU: 17331\nSML to LXG: 16091\nSML to GDZ: 10749\nGDZ to DUR: 10933\nGDZ to KMI: 8624\nGDZ to LTI: 6744\nGDZ to BEU: 14446\nGDZ to LXG: 8836\nLTI to DUR: 12698\nLTI to KMI: 3582\nLTI to BEU: 9780\nLTI to LXG: 5192\nKMI to DUR: 12672\nKMI to BEU: 7325\nKMI to LXG: 3703\nLXG to DUR: 10373\nLXG to BEU: 7268\nDUR to BEU: 13134\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: ONQ, PNP, SAN, ERL, PPW, IMP, IXE, MUX, TXK\n- Travel distances (in kilometers) between each pair of airports:\nONQ to IXE: 9585\nONQ to SAN: 11446\nONQ to TXK: 10577\nONQ to IMP: 10811\nONQ to PNP: 16506\nONQ to MUX: 8231\nONQ to ERL: 10229\nONQ to PPW: 3332\nPNP to IXE: 8546\nPNP to SAN: 12594\nPNP to TXK: 14692\nPNP to IMP: 18792\nPNP to MUX: 9682\nPNP to ERL: 7443\nPNP to PPW: 14850\nSAN to IXE: 15671\nSAN to TXK: 2170\nSAN to IMP: 8640\nSAN to MUX: 14206\nSAN to ERL: 10763\nSAN to PPW: 8842\nERL to IXE: 5475\nERL to TXK: 12152\nERL to IMP: 16686\nERL to MUX: 4430\nERL to PPW: 8684\nPPW to IXE: 8368\nPPW to TXK: 7899\nPPW to IMP: 9075\nPPW to MUX: 6746\nIMP to IXE: 14510\nIMP to TXK: 7128\nIMP to MUX: 13722\nIXE to TXK: 15453\nIXE to MUX: 2312\nMUX to TXK: 13615\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]	{ "ground_truth": 57760, "style": "rule" }	{ "exact_answer": 57760, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"ONQ\", \"id\": 0}, {\"name\": \"PNP\", \"id\": 1}, {\"name\": \"SAN\", \"id\": 2}, {\"name\": \"ERL\", \"id\": 3}, {\"name\": \"PPW\", \"id\": 4}, {\"name\": \"IMP\", \"id\": 5}, {\"name\": \"IXE\", \"id\": 6}, {\"name\": \"MUX\", \"id\": 7}, {\"name\": \"TXK\", \"id\": 8}], \"links\": [{\"weight\": 9585, \"source\": 0, \"target\": 6}, {\"weight\": 11446, \"source\": 0, \"target\": 2}, {\"weight\": 10577, \"source\": 0, \"target\": 8}, {\"weight\": 10811, \"source\": 0, \"target\": 5}, {\"weight\": 16506, \"source\": 0, \"target\": 1}, {\"weight\": 8231, \"source\": 0, \"target\": 7}, {\"weight\": 10229, \"source\": 0, \"target\": 3}, {\"weight\": 3332, \"source\": 0, \"target\": 4}, {\"weight\": 8546, \"source\": 1, \"target\": 6}, {\"weight\": 12594, \"source\": 1, \"target\": 2}, {\"weight\": 14692, \"source\": 1, \"target\": 8}, {\"weight\": 18792, \"source\": 1, \"target\": 5}, {\"weight\": 9682, \"source\": 1, \"target\": 7}, {\"weight\": 7443, \"source\": 1, \"target\": 3}, {\"weight\": 14850, \"source\": 1, \"target\": 4}, {\"weight\": 15671, \"source\": 2, \"target\": 6}, {\"weight\": 2170, \"source\": 2, \"target\": 8}, {\"weight\": 8640, \"source\": 2, \"target\": 5}, {\"weight\": 14206, \"source\": 2, \"target\": 7}, {\"weight\": 10763, \"source\": 2, \"target\": 3}, {\"weight\": 8842, \"source\": 2, \"target\": 4}, {\"weight\": 5475, \"source\": 3, \"target\": 6}, {\"weight\": 12152, \"source\": 3, \"target\": 8}, {\"weight\": 16686, \"source\": 3, \"target\": 5}, {\"weight\": 4430, \"source\": 3, \"target\": 7}, {\"weight\": 8684, \"source\": 3, \"target\": 4}, {\"weight\": 8368, \"source\": 4, \"target\": 6}, {\"weight\": 7899, \"source\": 4, \"target\": 8}, {\"weight\": 9075, \"source\": 4, \"target\": 5}, {\"weight\": 6746, \"source\": 4, \"target\": 7}, {\"weight\": 14510, \"source\": 5, \"target\": 6}, {\"weight\": 7128, \"source\": 5, \"target\": 8}, {\"weight\": 13722, \"source\": 5, \"target\": 7}, {\"weight\": 15453, \"source\": 6, \"target\": 8}, {\"weight\": 2312, \"source\": 6, \"target\": 7}, {\"weight\": 13615, \"source\": 7, \"target\": 8}]}", "id": 316, "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: ONQ, PNP, SAN, ERL, PPW, IMP, IXE, MUX, TXK\n- Travel distances (in kilometers) between each pair of airports:\nONQ to IXE: 9585\nONQ to SAN: 11446\nONQ to TXK: 10577\nONQ to IMP: 10811\nONQ to PNP: 16506\nONQ to MUX: 8231\nONQ to ERL: 10229\nONQ to PPW: 3332\nPNP to IXE: 8546\nPNP to SAN: 12594\nPNP to TXK: 14692\nPNP to IMP: 18792\nPNP to MUX: 9682\nPNP to ERL: 7443\nPNP to PPW: 14850\nSAN to IXE: 15671\nSAN to TXK: 2170\nSAN to IMP: 8640\nSAN to MUX: 14206\nSAN to ERL: 10763\nSAN to PPW: 8842\nERL to IXE: 5475\nERL to TXK: 12152\nERL to IMP: 16686\nERL to MUX: 4430\nERL to PPW: 8684\nPPW to IXE: 8368\nPPW to TXK: 7899\nPPW to IMP: 9075\nPPW to MUX: 6746\nIMP to IXE: 14510\nIMP to TXK: 7128\nIMP to MUX: 13722\nIXE to TXK: 15453\nIXE to MUX: 2312\nMUX to TXK: 13615\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: KTL, KUV, CUF, MAS, YNY, RLK, TUI, POM, BUA\n- Travel distances (in kilometers) between each pair of airports:\nKTL to CUF: 7223\nKTL to RLK: 9425\nKTL to POM: 13580\nKTL to BUA: 14515\nKTL to MAS: 14400\nKTL to YNY: 11314\nKTL to KUV: 11081\nKTL to TUI: 4637\nKUV to CUF: 10160\nKUV to RLK: 2171\nKUV to POM: 6436\nKUV to BUA: 7371\nKUV to MAS: 7256\nKUV to YNY: 1771\nKUV to TUI: 9108\nCUF to RLK: 8574\nCUF to POM: 14980\nCUF to BUA: 15915\nCUF to MAS: 15800\nCUF to YNY: 10797\nCUF to TUI: 5418\nMAS to POM: 820\nMAS to RLK: 8045\nMAS to BUA: 886\nMAS to YNY: 7591\nMAS to TUI: 13507\nYNY to RLK: 2760\nYNY to POM: 6771\nYNY to BUA: 7706\nYNY to TUI: 9360\nRLK to POM: 7225\nRLK to BUA: 8160\nRLK to TUI: 7327\nTUI to POM: 12687\nTUI to BUA: 13622\nPOM to BUA: 935\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]	{ "ground_truth": 45563, "style": "rule" }	{ "exact_answer": 45563, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"KTL\", \"id\": 0}, {\"name\": \"KUV\", \"id\": 1}, {\"name\": \"CUF\", \"id\": 2}, {\"name\": \"MAS\", \"id\": 3}, {\"name\": \"YNY\", \"id\": 4}, {\"name\": \"RLK\", \"id\": 5}, {\"name\": \"TUI\", \"id\": 6}, {\"name\": \"POM\", \"id\": 7}, {\"name\": \"BUA\", \"id\": 8}], \"links\": [{\"weight\": 7223, \"source\": 0, \"target\": 2}, {\"weight\": 9425, \"source\": 0, \"target\": 5}, {\"weight\": 13580, \"source\": 0, \"target\": 7}, {\"weight\": 14515, \"source\": 0, \"target\": 8}, {\"weight\": 14400, \"source\": 0, \"target\": 3}, {\"weight\": 11314, \"source\": 0, \"target\": 4}, {\"weight\": 11081, \"source\": 0, \"target\": 1}, {\"weight\": 4637, \"source\": 0, \"target\": 6}, {\"weight\": 10160, \"source\": 1, \"target\": 2}, {\"weight\": 2171, \"source\": 1, \"target\": 5}, {\"weight\": 6436, \"source\": 1, \"target\": 7}, {\"weight\": 7371, \"source\": 1, \"target\": 8}, {\"weight\": 7256, \"source\": 1, \"target\": 3}, {\"weight\": 1771, \"source\": 1, \"target\": 4}, {\"weight\": 9108, \"source\": 1, \"target\": 6}, {\"weight\": 8574, \"source\": 2, \"target\": 5}, {\"weight\": 14980, \"source\": 2, \"target\": 7}, {\"weight\": 15915, \"source\": 2, \"target\": 8}, {\"weight\": 15800, \"source\": 2, \"target\": 3}, {\"weight\": 10797, \"source\": 2, \"target\": 4}, {\"weight\": 5418, \"source\": 2, \"target\": 6}, {\"weight\": 820, \"source\": 3, \"target\": 7}, {\"weight\": 8045, \"source\": 3, \"target\": 5}, {\"weight\": 886, \"source\": 3, \"target\": 8}, {\"weight\": 7591, \"source\": 3, \"target\": 4}, {\"weight\": 13507, \"source\": 3, \"target\": 6}, {\"weight\": 2760, \"source\": 4, \"target\": 5}, {\"weight\": 6771, \"source\": 4, \"target\": 7}, {\"weight\": 7706, \"source\": 4, \"target\": 8}, {\"weight\": 9360, \"source\": 4, \"target\": 6}, {\"weight\": 7225, \"source\": 5, \"target\": 7}, {\"weight\": 8160, \"source\": 5, \"target\": 8}, {\"weight\": 7327, \"source\": 5, \"target\": 6}, {\"weight\": 12687, \"source\": 6, \"target\": 7}, {\"weight\": 13622, \"source\": 6, \"target\": 8}, {\"weight\": 935, \"source\": 7, \"target\": 8}]}", "id": 317, "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: KTL, KUV, CUF, MAS, YNY, RLK, TUI, POM, BUA\n- Travel distances (in kilometers) between each pair of airports:\nKTL to CUF: 7223\nKTL to RLK: 9425\nKTL to POM: 13580\nKTL to BUA: 14515\nKTL to MAS: 14400\nKTL to YNY: 11314\nKTL to KUV: 11081\nKTL to TUI: 4637\nKUV to CUF: 10160\nKUV to RLK: 2171\nKUV to POM: 6436\nKUV to BUA: 7371\nKUV to MAS: 7256\nKUV to YNY: 1771\nKUV to TUI: 9108\nCUF to RLK: 8574\nCUF to POM: 14980\nCUF to BUA: 15915\nCUF to MAS: 15800\nCUF to YNY: 10797\nCUF to TUI: 5418\nMAS to POM: 820\nMAS to RLK: 8045\nMAS to BUA: 886\nMAS to YNY: 7591\nMAS to TUI: 13507\nYNY to RLK: 2760\nYNY to POM: 6771\nYNY to BUA: 7706\nYNY to TUI: 9360\nRLK to POM: 7225\nRLK to BUA: 8160\nRLK to TUI: 7327\nTUI to POM: 12687\nTUI to BUA: 13622\nPOM to BUA: 935\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: SBN, IBR, SCY, GAL, YQQ, DUJ, DSK, MSQ, HMA\n- Travel distances (in kilometers) between each pair of airports:\nSBN to SCY: 6030\nSBN to GAL: 5549\nSBN to YQQ: 3099\nSBN to IBR: 10905\nSBN to MSQ: 7789\nSBN to DSK: 11970\nSBN to HMA: 9970\nSBN to DUJ: 651\nIBR to SCY: 16271\nIBR to GAL: 11240\nIBR to YQQ: 8332\nIBR to MSQ: 8488\nIBR to DSK: 6514\nIBR to HMA: 6262\nIBR to DUJ: 11278\nSCY to GAL: 10950\nSCY to YQQ: 8351\nSCY to MSQ: 12479\nSCY to DSK: 16796\nSCY to HMA: 14920\nSCY to DUJ: 6187\nGAL to YQQ: 3229\nGAL to MSQ: 11726\nGAL to DSK: 15855\nGAL to HMA: 13907\nGAL to DUJ: 6134\nYQQ to MSQ: 8823\nYQQ to DSK: 12913\nYQQ to HMA: 11004\nYQQ to DUJ: 3684\nDUJ to MSQ: 7752\nDUJ to DSK: 11933\nDUJ to HMA: 9933\nDSK to MSQ: 4483\nDSK to HMA: 3475\nMSQ to HMA: 2565\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]	{ "ground_truth": 48981, "style": "rule" }	{ "exact_answer": 48981, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"SBN\", \"id\": 0}, {\"name\": \"IBR\", \"id\": 1}, {\"name\": \"SCY\", \"id\": 2}, {\"name\": \"GAL\", \"id\": 3}, {\"name\": \"YQQ\", \"id\": 4}, {\"name\": \"DUJ\", \"id\": 5}, {\"name\": \"DSK\", \"id\": 6}, {\"name\": \"MSQ\", \"id\": 7}, {\"name\": \"HMA\", \"id\": 8}], \"links\": [{\"weight\": 6030, \"source\": 0, \"target\": 2}, {\"weight\": 5549, \"source\": 0, \"target\": 3}, {\"weight\": 3099, \"source\": 0, \"target\": 4}, {\"weight\": 10905, \"source\": 0, \"target\": 1}, {\"weight\": 7789, \"source\": 0, \"target\": 7}, {\"weight\": 11970, \"source\": 0, \"target\": 6}, {\"weight\": 9970, \"source\": 0, \"target\": 8}, {\"weight\": 651, \"source\": 0, \"target\": 5}, {\"weight\": 16271, \"source\": 1, \"target\": 2}, {\"weight\": 11240, \"source\": 1, \"target\": 3}, {\"weight\": 8332, \"source\": 1, \"target\": 4}, {\"weight\": 8488, \"source\": 1, \"target\": 7}, {\"weight\": 6514, \"source\": 1, \"target\": 6}, {\"weight\": 6262, \"source\": 1, \"target\": 8}, {\"weight\": 11278, \"source\": 1, \"target\": 5}, {\"weight\": 10950, \"source\": 2, \"target\": 3}, {\"weight\": 8351, \"source\": 2, \"target\": 4}, {\"weight\": 12479, \"source\": 2, \"target\": 7}, {\"weight\": 16796, \"source\": 2, \"target\": 6}, {\"weight\": 14920, \"source\": 2, \"target\": 8}, {\"weight\": 6187, \"source\": 2, \"target\": 5}, {\"weight\": 3229, \"source\": 3, \"target\": 4}, {\"weight\": 11726, \"source\": 3, \"target\": 7}, {\"weight\": 15855, \"source\": 3, \"target\": 6}, {\"weight\": 13907, \"source\": 3, \"target\": 8}, {\"weight\": 6134, \"source\": 3, \"target\": 5}, {\"weight\": 8823, \"source\": 4, \"target\": 7}, {\"weight\": 12913, \"source\": 4, \"target\": 6}, {\"weight\": 11004, \"source\": 4, \"target\": 8}, {\"weight\": 3684, \"source\": 4, \"target\": 5}, {\"weight\": 7752, \"source\": 5, \"target\": 7}, {\"weight\": 11933, \"source\": 5, \"target\": 6}, {\"weight\": 9933, \"source\": 5, \"target\": 8}, {\"weight\": 4483, \"source\": 6, \"target\": 7}, {\"weight\": 3475, \"source\": 6, \"target\": 8}, {\"weight\": 2565, \"source\": 7, \"target\": 8}]}", "id": 318, "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: SBN, IBR, SCY, GAL, YQQ, DUJ, DSK, MSQ, HMA\n- Travel distances (in kilometers) between each pair of airports:\nSBN to SCY: 6030\nSBN to GAL: 5549\nSBN to YQQ: 3099\nSBN to IBR: 10905\nSBN to MSQ: 7789\nSBN to DSK: 11970\nSBN to HMA: 9970\nSBN to DUJ: 651\nIBR to SCY: 16271\nIBR to GAL: 11240\nIBR to YQQ: 8332\nIBR to MSQ: 8488\nIBR to DSK: 6514\nIBR to HMA: 6262\nIBR to DUJ: 11278\nSCY to GAL: 10950\nSCY to YQQ: 8351\nSCY to MSQ: 12479\nSCY to DSK: 16796\nSCY to HMA: 14920\nSCY to DUJ: 6187\nGAL to YQQ: 3229\nGAL to MSQ: 11726\nGAL to DSK: 15855\nGAL to HMA: 13907\nGAL to DUJ: 6134\nYQQ to MSQ: 8823\nYQQ to DSK: 12913\nYQQ to HMA: 11004\nYQQ to DUJ: 3684\nDUJ to MSQ: 7752\nDUJ to DSK: 11933\nDUJ to HMA: 9933\nDSK to MSQ: 4483\nDSK to HMA: 3475\nMSQ to HMA: 2565\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: PAV, PHE, PNK, IKE, ORF, YNO, IKA, ANV, TCQ\n- Travel distances (in kilometers) between each pair of airports:\nPAV to ANV: 13737\nPAV to IKA: 12011\nPAV to ORF: 7938\nPAV to PNK: 18850\nPAV to IKE: 12368\nPAV to TCQ: 4829\nPAV to PHE: 18902\nPAV to YNO: 10000\nPHE to ANV: 16239\nPHE to IKA: 9645\nPHE to ORF: 18039\nPHE to PNK: 2590\nPHE to IKE: 16850\nPHE to TCQ: 17703\nPHE to YNO: 16534\nPNK to ANV: 15719\nPNK to IKA: 7500\nPNK to ORF: 16095\nPNK to IKE: 14554\nPNK to TCQ: 19727\nPNK to YNO: 14721\nIKE to ANV: 10966\nIKE to IKA: 7596\nIKE to ORF: 6826\nIKE to TCQ: 13212\nIKE to YNO: 7885\nORF to ANV: 6352\nORF to IKA: 10333\nORF to TCQ: 6505\nORF to YNO: 2325\nYNO to ANV: 5317\nYNO to IKA: 11430\nYNO to TCQ: 8613\nIKA to ANV: 14511\nIKA to TCQ: 14816\nANV to TCQ: 11939\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]	{ "ground_truth": 65269, "style": "rule" }	{ "exact_answer": 65269, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"PAV\", \"id\": 0}, {\"name\": \"PHE\", \"id\": 1}, {\"name\": \"PNK\", \"id\": 2}, {\"name\": \"IKE\", \"id\": 3}, {\"name\": \"ORF\", \"id\": 4}, {\"name\": \"YNO\", \"id\": 5}, {\"name\": \"IKA\", \"id\": 6}, {\"name\": \"ANV\", \"id\": 7}, {\"name\": \"TCQ\", \"id\": 8}], \"links\": [{\"weight\": 13737, \"source\": 0, \"target\": 7}, {\"weight\": 12011, \"source\": 0, \"target\": 6}, {\"weight\": 7938, \"source\": 0, \"target\": 4}, {\"weight\": 18850, \"source\": 0, \"target\": 2}, {\"weight\": 12368, \"source\": 0, \"target\": 3}, {\"weight\": 4829, \"source\": 0, \"target\": 8}, {\"weight\": 18902, \"source\": 0, \"target\": 1}, {\"weight\": 10000, \"source\": 0, \"target\": 5}, {\"weight\": 16239, \"source\": 1, \"target\": 7}, {\"weight\": 9645, \"source\": 1, \"target\": 6}, {\"weight\": 18039, \"source\": 1, \"target\": 4}, {\"weight\": 2590, \"source\": 1, \"target\": 2}, {\"weight\": 16850, \"source\": 1, \"target\": 3}, {\"weight\": 17703, \"source\": 1, \"target\": 8}, {\"weight\": 16534, \"source\": 1, \"target\": 5}, {\"weight\": 15719, \"source\": 2, \"target\": 7}, {\"weight\": 7500, \"source\": 2, \"target\": 6}, {\"weight\": 16095, \"source\": 2, \"target\": 4}, {\"weight\": 14554, \"source\": 2, \"target\": 3}, {\"weight\": 19727, \"source\": 2, \"target\": 8}, {\"weight\": 14721, \"source\": 2, \"target\": 5}, {\"weight\": 10966, \"source\": 3, \"target\": 7}, {\"weight\": 7596, \"source\": 3, \"target\": 6}, {\"weight\": 6826, \"source\": 3, \"target\": 4}, {\"weight\": 13212, \"source\": 3, \"target\": 8}, {\"weight\": 7885, \"source\": 3, \"target\": 5}, {\"weight\": 6352, \"source\": 4, \"target\": 7}, {\"weight\": 10333, \"source\": 4, \"target\": 6}, {\"weight\": 6505, \"source\": 4, \"target\": 8}, {\"weight\": 2325, \"source\": 4, \"target\": 5}, {\"weight\": 5317, \"source\": 5, \"target\": 7}, {\"weight\": 11430, \"source\": 5, \"target\": 6}, {\"weight\": 8613, \"source\": 5, \"target\": 8}, {\"weight\": 14511, \"source\": 6, \"target\": 7}, {\"weight\": 14816, \"source\": 6, \"target\": 8}, {\"weight\": 11939, \"source\": 7, \"target\": 8}]}", "id": 319, "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: PAV, PHE, PNK, IKE, ORF, YNO, IKA, ANV, TCQ\n- Travel distances (in kilometers) between each pair of airports:\nPAV to ANV: 13737\nPAV to IKA: 12011\nPAV to ORF: 7938\nPAV to PNK: 18850\nPAV to IKE: 12368\nPAV to TCQ: 4829\nPAV to PHE: 18902\nPAV to YNO: 10000\nPHE to ANV: 16239\nPHE to IKA: 9645\nPHE to ORF: 18039\nPHE to PNK: 2590\nPHE to IKE: 16850\nPHE to TCQ: 17703\nPHE to YNO: 16534\nPNK to ANV: 15719\nPNK to IKA: 7500\nPNK to ORF: 16095\nPNK to IKE: 14554\nPNK to TCQ: 19727\nPNK to YNO: 14721\nIKE to ANV: 10966\nIKE to IKA: 7596\nIKE to ORF: 6826\nIKE to TCQ: 13212\nIKE to YNO: 7885\nORF to ANV: 6352\nORF to IKA: 10333\nORF to TCQ: 6505\nORF to YNO: 2325\nYNO to ANV: 5317\nYNO to IKA: 11430\nYNO to TCQ: 8613\nIKA to ANV: 14511\nIKA to TCQ: 14816\nANV to TCQ: 11939\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: SON, SDJ, PLX, TKS, ZTH, DEA, CHU, KUT, MHH\n- Travel distances (in kilometers) between each pair of airports:\nSON to MHH: 14157\nSON to CHU: 11343\nSON to ZTH: 16851\nSON to KUT: 14967\nSON to SDJ: 8042\nSON to PLX: 12950\nSON to TKS: 8804\nSON to DEA: 12594\nSDJ to MHH: 12335\nSDJ to CHU: 10775\nSDJ to ZTH: 10018\nSDJ to KUT: 8254\nSDJ to PLX: 6258\nSDJ to TKS: 1257\nSDJ to DEA: 6743\nPLX to MHH: 12542\nPLX to CHU: 15148\nPLX to ZTH: 5441\nPLX to KUT: 3548\nPLX to TKS: 6674\nPLX to DEA: 3147\nTKS to MHH: 12777\nTKS to CHU: 11060\nTKS to ZTH: 10453\nTKS to KUT: 8670\nTKS to DEA: 7159\nZTH to MHH: 9432\nZTH to CHU: 12735\nZTH to KUT: 2318\nZTH to DEA: 5113\nDEA to MHH: 13697\nDEA to CHU: 16102\nDEA to KUT: 3484\nCHU to MHH: 7090\nCHU to KUT: 13360\nKUT to MHH: 10521\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]	{ "ground_truth": 52787, "style": "rule" }	{ "exact_answer": 52787, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"SON\", \"id\": 0}, {\"name\": \"SDJ\", \"id\": 1}, {\"name\": \"PLX\", \"id\": 2}, {\"name\": \"TKS\", \"id\": 3}, {\"name\": \"ZTH\", \"id\": 4}, {\"name\": \"DEA\", \"id\": 5}, {\"name\": \"CHU\", \"id\": 6}, {\"name\": \"KUT\", \"id\": 7}, {\"name\": \"MHH\", \"id\": 8}], \"links\": [{\"weight\": 14157, \"source\": 0, \"target\": 8}, {\"weight\": 11343, \"source\": 0, \"target\": 6}, {\"weight\": 16851, \"source\": 0, \"target\": 4}, {\"weight\": 14967, \"source\": 0, \"target\": 7}, {\"weight\": 8042, \"source\": 0, \"target\": 1}, {\"weight\": 12950, \"source\": 0, \"target\": 2}, {\"weight\": 8804, \"source\": 0, \"target\": 3}, {\"weight\": 12594, \"source\": 0, \"target\": 5}, {\"weight\": 12335, \"source\": 1, \"target\": 8}, {\"weight\": 10775, \"source\": 1, \"target\": 6}, {\"weight\": 10018, \"source\": 1, \"target\": 4}, {\"weight\": 8254, \"source\": 1, \"target\": 7}, {\"weight\": 6258, \"source\": 1, \"target\": 2}, {\"weight\": 1257, \"source\": 1, \"target\": 3}, {\"weight\": 6743, \"source\": 1, \"target\": 5}, {\"weight\": 12542, \"source\": 2, \"target\": 8}, {\"weight\": 15148, \"source\": 2, \"target\": 6}, {\"weight\": 5441, \"source\": 2, \"target\": 4}, {\"weight\": 3548, \"source\": 2, \"target\": 7}, {\"weight\": 6674, \"source\": 2, \"target\": 3}, {\"weight\": 3147, \"source\": 2, \"target\": 5}, {\"weight\": 12777, \"source\": 3, \"target\": 8}, {\"weight\": 11060, \"source\": 3, \"target\": 6}, {\"weight\": 10453, \"source\": 3, \"target\": 4}, {\"weight\": 8670, \"source\": 3, \"target\": 7}, {\"weight\": 7159, \"source\": 3, \"target\": 5}, {\"weight\": 9432, \"source\": 4, \"target\": 8}, {\"weight\": 12735, \"source\": 4, \"target\": 6}, {\"weight\": 2318, \"source\": 4, \"target\": 7}, {\"weight\": 5113, \"source\": 4, \"target\": 5}, {\"weight\": 13697, \"source\": 5, \"target\": 8}, {\"weight\": 16102, \"source\": 5, \"target\": 6}, {\"weight\": 3484, \"source\": 5, \"target\": 7}, {\"weight\": 7090, \"source\": 6, \"target\": 8}, {\"weight\": 13360, \"source\": 6, \"target\": 7}, {\"weight\": 10521, \"source\": 7, \"target\": 8}]}", "id": 320, "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: SON, SDJ, PLX, TKS, ZTH, DEA, CHU, KUT, MHH\n- Travel distances (in kilometers) between each pair of airports:\nSON to MHH: 14157\nSON to CHU: 11343\nSON to ZTH: 16851\nSON to KUT: 14967\nSON to SDJ: 8042\nSON to PLX: 12950\nSON to TKS: 8804\nSON to DEA: 12594\nSDJ to MHH: 12335\nSDJ to CHU: 10775\nSDJ to ZTH: 10018\nSDJ to KUT: 8254\nSDJ to PLX: 6258\nSDJ to TKS: 1257\nSDJ to DEA: 6743\nPLX to MHH: 12542\nPLX to CHU: 15148\nPLX to ZTH: 5441\nPLX to KUT: 3548\nPLX to TKS: 6674\nPLX to DEA: 3147\nTKS to MHH: 12777\nTKS to CHU: 11060\nTKS to ZTH: 10453\nTKS to KUT: 8670\nTKS to DEA: 7159\nZTH to MHH: 9432\nZTH to CHU: 12735\nZTH to KUT: 2318\nZTH to DEA: 5113\nDEA to MHH: 13697\nDEA to CHU: 16102\nDEA to KUT: 3484\nCHU to MHH: 7090\nCHU to KUT: 13360\nKUT to MHH: 10521\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: PLJ, CHX, FCA, NAJ, OSI, URC, MEG, WIN, NSQ\n- Travel distances (in kilometers) between each pair of airports:\nPLJ to URC: 14241\nPLJ to CHX: 1331\nPLJ to FCA: 4264\nPLJ to MEG: 12346\nPLJ to OSI: 10011\nPLJ to NSQ: 9741\nPLJ to NAJ: 12374\nPLJ to WIN: 16306\nCHX to URC: 14989\nCHX to FCA: 5354\nCHX to MEG: 12599\nCHX to OSI: 10559\nCHX to NSQ: 10508\nCHX to NAJ: 12888\nCHX to WIN: 17332\nFCA to URC: 11716\nFCA to MEG: 14192\nFCA to OSI: 9643\nFCA to NSQ: 8963\nFCA to NAJ: 11729\nFCA to WIN: 13626\nNAJ to URC: 3582\nNAJ to MEG: 7593\nNAJ to OSI: 2794\nNAJ to NSQ: 7693\nNAJ to WIN: 13168\nOSI to URC: 5811\nOSI to MEG: 7385\nOSI to NSQ: 5597\nOSI to WIN: 15561\nURC to MEG: 9886\nURC to NSQ: 9526\nURC to WIN: 9776\nMEG to NSQ: 11621\nMEG to WIN: 15375\nWIN to NSQ: 19165\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]	{ "ground_truth": 63662, "style": "rule" }	{ "exact_answer": 63662, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"PLJ\", \"id\": 0}, {\"name\": \"CHX\", \"id\": 1}, {\"name\": \"FCA\", \"id\": 2}, {\"name\": \"NAJ\", \"id\": 3}, {\"name\": \"OSI\", \"id\": 4}, {\"name\": \"URC\", \"id\": 5}, {\"name\": \"MEG\", \"id\": 6}, {\"name\": \"WIN\", \"id\": 7}, {\"name\": \"NSQ\", \"id\": 8}], \"links\": [{\"weight\": 14241, \"source\": 0, \"target\": 5}, {\"weight\": 1331, \"source\": 0, \"target\": 1}, {\"weight\": 4264, \"source\": 0, \"target\": 2}, {\"weight\": 12346, \"source\": 0, \"target\": 6}, {\"weight\": 10011, \"source\": 0, \"target\": 4}, {\"weight\": 9741, \"source\": 0, \"target\": 8}, {\"weight\": 12374, \"source\": 0, \"target\": 3}, {\"weight\": 16306, \"source\": 0, \"target\": 7}, {\"weight\": 14989, \"source\": 1, \"target\": 5}, {\"weight\": 5354, \"source\": 1, \"target\": 2}, {\"weight\": 12599, \"source\": 1, \"target\": 6}, {\"weight\": 10559, \"source\": 1, \"target\": 4}, {\"weight\": 10508, \"source\": 1, \"target\": 8}, {\"weight\": 12888, \"source\": 1, \"target\": 3}, {\"weight\": 17332, \"source\": 1, \"target\": 7}, {\"weight\": 11716, \"source\": 2, \"target\": 5}, {\"weight\": 14192, \"source\": 2, \"target\": 6}, {\"weight\": 9643, \"source\": 2, \"target\": 4}, {\"weight\": 8963, \"source\": 2, \"target\": 8}, {\"weight\": 11729, \"source\": 2, \"target\": 3}, {\"weight\": 13626, \"source\": 2, \"target\": 7}, {\"weight\": 3582, \"source\": 3, \"target\": 5}, {\"weight\": 7593, \"source\": 3, \"target\": 6}, {\"weight\": 2794, \"source\": 3, \"target\": 4}, {\"weight\": 7693, \"source\": 3, \"target\": 8}, {\"weight\": 13168, \"source\": 3, \"target\": 7}, {\"weight\": 5811, \"source\": 4, \"target\": 5}, {\"weight\": 7385, \"source\": 4, \"target\": 6}, {\"weight\": 5597, \"source\": 4, \"target\": 8}, {\"weight\": 15561, \"source\": 4, \"target\": 7}, {\"weight\": 9886, \"source\": 5, \"target\": 6}, {\"weight\": 9526, \"source\": 5, \"target\": 8}, {\"weight\": 9776, \"source\": 5, \"target\": 7}, {\"weight\": 11621, \"source\": 6, \"target\": 8}, {\"weight\": 15375, \"source\": 6, \"target\": 7}, {\"weight\": 19165, \"source\": 7, \"target\": 8}]}", "id": 321, "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: PLJ, CHX, FCA, NAJ, OSI, URC, MEG, WIN, NSQ\n- Travel distances (in kilometers) between each pair of airports:\nPLJ to URC: 14241\nPLJ to CHX: 1331\nPLJ to FCA: 4264\nPLJ to MEG: 12346\nPLJ to OSI: 10011\nPLJ to NSQ: 9741\nPLJ to NAJ: 12374\nPLJ to WIN: 16306\nCHX to URC: 14989\nCHX to FCA: 5354\nCHX to MEG: 12599\nCHX to OSI: 10559\nCHX to NSQ: 10508\nCHX to NAJ: 12888\nCHX to WIN: 17332\nFCA to URC: 11716\nFCA to MEG: 14192\nFCA to OSI: 9643\nFCA to NSQ: 8963\nFCA to NAJ: 11729\nFCA to WIN: 13626\nNAJ to URC: 3582\nNAJ to MEG: 7593\nNAJ to OSI: 2794\nNAJ to NSQ: 7693\nNAJ to WIN: 13168\nOSI to URC: 5811\nOSI to MEG: 7385\nOSI to NSQ: 5597\nOSI to WIN: 15561\nURC to MEG: 9886\nURC to NSQ: 9526\nURC to WIN: 9776\nMEG to NSQ: 11621\nMEG to WIN: 15375\nWIN to NSQ: 19165\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: TGR, AAL, DBV, SBW, TJQ, DCN, NYT, STW, PVR\n- Travel distances (in kilometers) between each pair of airports:\nTGR to PVR: 10670\nTGR to DBV: 1945\nTGR to SBW: 12222\nTGR to AAL: 2802\nTGR to TJQ: 12115\nTGR to NYT: 10698\nTGR to DCN: 16322\nTGR to STW: 4007\nAAL to PVR: 9569\nAAL to DBV: 1745\nAAL to SBW: 11027\nAAL to TJQ: 10891\nAAL to NYT: 9098\nAAL to DCN: 15864\nAAL to STW: 3010\nDBV to PVR: 10912\nDBV to SBW: 10627\nDBV to TJQ: 10541\nDBV to NYT: 9175\nDBV to DCN: 14771\nDBV to STW: 2409\nSBW to PVR: 15389\nSBW to TJQ: 1534\nSBW to NYT: 3139\nSBW to DCN: 5950\nSBW to STW: 10387\nTJQ to PVR: 16882\nTJQ to NYT: 2995\nTJQ to DCN: 5204\nTJQ to STW: 10251\nDCN to PVR: 18882\nDCN to NYT: 7924\nDCN to STW: 14928\nNYT to PVR: 15010\nNYT to STW: 8582\nSTW to PVR: 12148\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]	{ "ground_truth": 54066, "style": "rule" }	{ "exact_answer": 54066, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"TGR\", \"id\": 0}, {\"name\": \"AAL\", \"id\": 1}, {\"name\": \"DBV\", \"id\": 2}, {\"name\": \"SBW\", \"id\": 3}, {\"name\": \"TJQ\", \"id\": 4}, {\"name\": \"DCN\", \"id\": 5}, {\"name\": \"NYT\", \"id\": 6}, {\"name\": \"STW\", \"id\": 7}, {\"name\": \"PVR\", \"id\": 8}], \"links\": [{\"weight\": 10670, \"source\": 0, \"target\": 8}, {\"weight\": 1945, \"source\": 0, \"target\": 2}, {\"weight\": 12222, \"source\": 0, \"target\": 3}, {\"weight\": 2802, \"source\": 0, \"target\": 1}, {\"weight\": 12115, \"source\": 0, \"target\": 4}, {\"weight\": 10698, \"source\": 0, \"target\": 6}, {\"weight\": 16322, \"source\": 0, \"target\": 5}, {\"weight\": 4007, \"source\": 0, \"target\": 7}, {\"weight\": 9569, \"source\": 1, \"target\": 8}, {\"weight\": 1745, \"source\": 1, \"target\": 2}, {\"weight\": 11027, \"source\": 1, \"target\": 3}, {\"weight\": 10891, \"source\": 1, \"target\": 4}, {\"weight\": 9098, \"source\": 1, \"target\": 6}, {\"weight\": 15864, \"source\": 1, \"target\": 5}, {\"weight\": 3010, \"source\": 1, \"target\": 7}, {\"weight\": 10912, \"source\": 2, \"target\": 8}, {\"weight\": 10627, \"source\": 2, \"target\": 3}, {\"weight\": 10541, \"source\": 2, \"target\": 4}, {\"weight\": 9175, \"source\": 2, \"target\": 6}, {\"weight\": 14771, \"source\": 2, \"target\": 5}, {\"weight\": 2409, \"source\": 2, \"target\": 7}, {\"weight\": 15389, \"source\": 3, \"target\": 8}, {\"weight\": 1534, \"source\": 3, \"target\": 4}, {\"weight\": 3139, \"source\": 3, \"target\": 6}, {\"weight\": 5950, \"source\": 3, \"target\": 5}, {\"weight\": 10387, \"source\": 3, \"target\": 7}, {\"weight\": 16882, \"source\": 4, \"target\": 8}, {\"weight\": 2995, \"source\": 4, \"target\": 6}, {\"weight\": 5204, \"source\": 4, \"target\": 5}, {\"weight\": 10251, \"source\": 4, \"target\": 7}, {\"weight\": 18882, \"source\": 5, \"target\": 8}, {\"weight\": 7924, \"source\": 5, \"target\": 6}, {\"weight\": 14928, \"source\": 5, \"target\": 7}, {\"weight\": 15010, \"source\": 6, \"target\": 8}, {\"weight\": 8582, \"source\": 6, \"target\": 7}, {\"weight\": 12148, \"source\": 7, \"target\": 8}]}", "id": 322, "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: TGR, AAL, DBV, SBW, TJQ, DCN, NYT, STW, PVR\n- Travel distances (in kilometers) between each pair of airports:\nTGR to PVR: 10670\nTGR to DBV: 1945\nTGR to SBW: 12222\nTGR to AAL: 2802\nTGR to TJQ: 12115\nTGR to NYT: 10698\nTGR to DCN: 16322\nTGR to STW: 4007\nAAL to PVR: 9569\nAAL to DBV: 1745\nAAL to SBW: 11027\nAAL to TJQ: 10891\nAAL to NYT: 9098\nAAL to DCN: 15864\nAAL to STW: 3010\nDBV to PVR: 10912\nDBV to SBW: 10627\nDBV to TJQ: 10541\nDBV to NYT: 9175\nDBV to DCN: 14771\nDBV to STW: 2409\nSBW to PVR: 15389\nSBW to TJQ: 1534\nSBW to NYT: 3139\nSBW to DCN: 5950\nSBW to STW: 10387\nTJQ to PVR: 16882\nTJQ to NYT: 2995\nTJQ to DCN: 5204\nTJQ to STW: 10251\nDCN to PVR: 18882\nDCN to NYT: 7924\nDCN to STW: 14928\nNYT to PVR: 15010\nNYT to STW: 8582\nSTW to PVR: 12148\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: YAP, FRO, PPN, SKZ, CSY, CSH, RVT, KRL, DIB\n- Travel distances (in kilometers) between each pair of airports:\nYAP to CSH: 11321\nYAP to DIB: 6369\nYAP to CSY: 10979\nYAP to PPN: 17024\nYAP to KRL: 6641\nYAP to SKZ: 8112\nYAP to RVT: 7821\nYAP to FRO: 11999\nFRO to CSH: 2427\nFRO to DIB: 8088\nFRO to CSY: 2509\nFRO to PPN: 9855\nFRO to KRL: 5961\nFRO to SKZ: 6425\nFRO to RVT: 14712\nPPN to CSH: 11738\nPPN to DIB: 17336\nPPN to CSY: 11820\nPPN to KRL: 15274\nPPN to SKZ: 15423\nPPN to RVT: 19682\nSKZ to CSH: 5857\nSKZ to DIB: 2866\nSKZ to CSY: 5145\nSKZ to KRL: 2729\nSKZ to RVT: 9382\nCSY to CSH: 2088\nCSY to DIB: 6663\nCSY to KRL: 4784\nCSY to RVT: 13300\nCSH to DIB: 7343\nCSH to KRL: 5216\nCSH to RVT: 13939\nRVT to DIB: 7822\nRVT to KRL: 9589\nKRL to DIB: 4397\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]	{ "ground_truth": 57416, "style": "rule" }	{ "exact_answer": 57416, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"YAP\", \"id\": 0}, {\"name\": \"FRO\", \"id\": 1}, {\"name\": \"PPN\", \"id\": 2}, {\"name\": \"SKZ\", \"id\": 3}, {\"name\": \"CSY\", \"id\": 4}, {\"name\": \"CSH\", \"id\": 5}, {\"name\": \"RVT\", \"id\": 6}, {\"name\": \"KRL\", \"id\": 7}, {\"name\": \"DIB\", \"id\": 8}], \"links\": [{\"weight\": 11321, \"source\": 0, \"target\": 5}, {\"weight\": 6369, \"source\": 0, \"target\": 8}, {\"weight\": 10979, \"source\": 0, \"target\": 4}, {\"weight\": 17024, \"source\": 0, \"target\": 2}, {\"weight\": 6641, \"source\": 0, \"target\": 7}, {\"weight\": 8112, \"source\": 0, \"target\": 3}, {\"weight\": 7821, \"source\": 0, \"target\": 6}, {\"weight\": 11999, \"source\": 0, \"target\": 1}, {\"weight\": 2427, \"source\": 1, \"target\": 5}, {\"weight\": 8088, \"source\": 1, \"target\": 8}, {\"weight\": 2509, \"source\": 1, \"target\": 4}, {\"weight\": 9855, \"source\": 1, \"target\": 2}, {\"weight\": 5961, \"source\": 1, \"target\": 7}, {\"weight\": 6425, \"source\": 1, \"target\": 3}, {\"weight\": 14712, \"source\": 1, \"target\": 6}, {\"weight\": 11738, \"source\": 2, \"target\": 5}, {\"weight\": 17336, \"source\": 2, \"target\": 8}, {\"weight\": 11820, \"source\": 2, \"target\": 4}, {\"weight\": 15274, \"source\": 2, \"target\": 7}, {\"weight\": 15423, \"source\": 2, \"target\": 3}, {\"weight\": 19682, \"source\": 2, \"target\": 6}, {\"weight\": 5857, \"source\": 3, \"target\": 5}, {\"weight\": 2866, \"source\": 3, \"target\": 8}, {\"weight\": 5145, \"source\": 3, \"target\": 4}, {\"weight\": 2729, \"source\": 3, \"target\": 7}, {\"weight\": 9382, \"source\": 3, \"target\": 6}, {\"weight\": 2088, \"source\": 4, \"target\": 5}, {\"weight\": 6663, \"source\": 4, \"target\": 8}, {\"weight\": 4784, \"source\": 4, \"target\": 7}, {\"weight\": 13300, \"source\": 4, \"target\": 6}, {\"weight\": 7343, \"source\": 5, \"target\": 8}, {\"weight\": 5216, \"source\": 5, \"target\": 7}, {\"weight\": 13939, \"source\": 5, \"target\": 6}, {\"weight\": 7822, \"source\": 6, \"target\": 8}, {\"weight\": 9589, \"source\": 6, \"target\": 7}, {\"weight\": 4397, \"source\": 7, \"target\": 8}]}", "id": 323, "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: YAP, FRO, PPN, SKZ, CSY, CSH, RVT, KRL, DIB\n- Travel distances (in kilometers) between each pair of airports:\nYAP to CSH: 11321\nYAP to DIB: 6369\nYAP to CSY: 10979\nYAP to PPN: 17024\nYAP to KRL: 6641\nYAP to SKZ: 8112\nYAP to RVT: 7821\nYAP to FRO: 11999\nFRO to CSH: 2427\nFRO to DIB: 8088\nFRO to CSY: 2509\nFRO to PPN: 9855\nFRO to KRL: 5961\nFRO to SKZ: 6425\nFRO to RVT: 14712\nPPN to CSH: 11738\nPPN to DIB: 17336\nPPN to CSY: 11820\nPPN to KRL: 15274\nPPN to SKZ: 15423\nPPN to RVT: 19682\nSKZ to CSH: 5857\nSKZ to DIB: 2866\nSKZ to CSY: 5145\nSKZ to KRL: 2729\nSKZ to RVT: 9382\nCSY to CSH: 2088\nCSY to DIB: 6663\nCSY to KRL: 4784\nCSY to RVT: 13300\nCSH to DIB: 7343\nCSH to KRL: 5216\nCSH to RVT: 13939\nRVT to DIB: 7822\nRVT to KRL: 9589\nKRL to DIB: 4397\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: ROC, MME, EAE, KCT, JNN, KOW, PUY, NGK, BKS\n- Travel distances (in kilometers) between each pair of airports:\nROC to KOW: 12321\nROC to PUY: 7070\nROC to MME: 6147\nROC to BKS: 16192\nROC to JNN: 6338\nROC to EAE: 13572\nROC to NGK: 12624\nROC to KCT: 14369\nMME to KOW: 9574\nMME to PUY: 1539\nMME to BKS: 11698\nMME to JNN: 4114\nMME to EAE: 17300\nMME to NGK: 9254\nMME to KCT: 9002\nEAE to KOW: 8193\nEAE to PUY: 16981\nEAE to BKS: 7796\nEAE to JNN: 18221\nEAE to NGK: 9727\nEAE to KCT: 10579\nKCT to KOW: 4498\nKCT to PUY: 7778\nKCT to BKS: 3753\nKCT to JNN: 12031\nKCT to NGK: 7723\nJNN to KOW: 12117\nJNN to PUY: 5098\nJNN to BKS: 14362\nJNN to NGK: 11803\nKOW to PUY: 9055\nKOW to BKS: 3992\nKOW to NGK: 3791\nPUY to BKS: 10869\nPUY to NGK: 8871\nNGK to BKS: 7765\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]	{ "ground_truth": 54272, "style": "rule" }	{ "exact_answer": 54272, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"ROC\", \"id\": 0}, {\"name\": \"MME\", \"id\": 1}, {\"name\": \"EAE\", \"id\": 2}, {\"name\": \"KCT\", \"id\": 3}, {\"name\": \"JNN\", \"id\": 4}, {\"name\": \"KOW\", \"id\": 5}, {\"name\": \"PUY\", \"id\": 6}, {\"name\": \"NGK\", \"id\": 7}, {\"name\": \"BKS\", \"id\": 8}], \"links\": [{\"weight\": 12321, \"source\": 0, \"target\": 5}, {\"weight\": 7070, \"source\": 0, \"target\": 6}, {\"weight\": 6147, \"source\": 0, \"target\": 1}, {\"weight\": 16192, \"source\": 0, \"target\": 8}, {\"weight\": 6338, \"source\": 0, \"target\": 4}, {\"weight\": 13572, \"source\": 0, \"target\": 2}, {\"weight\": 12624, \"source\": 0, \"target\": 7}, {\"weight\": 14369, \"source\": 0, \"target\": 3}, {\"weight\": 9574, \"source\": 1, \"target\": 5}, {\"weight\": 1539, \"source\": 1, \"target\": 6}, {\"weight\": 11698, \"source\": 1, \"target\": 8}, {\"weight\": 4114, \"source\": 1, \"target\": 4}, {\"weight\": 17300, \"source\": 1, \"target\": 2}, {\"weight\": 9254, \"source\": 1, \"target\": 7}, {\"weight\": 9002, \"source\": 1, \"target\": 3}, {\"weight\": 8193, \"source\": 2, \"target\": 5}, {\"weight\": 16981, \"source\": 2, \"target\": 6}, {\"weight\": 7796, \"source\": 2, \"target\": 8}, {\"weight\": 18221, \"source\": 2, \"target\": 4}, {\"weight\": 9727, \"source\": 2, \"target\": 7}, {\"weight\": 10579, \"source\": 2, \"target\": 3}, {\"weight\": 4498, \"source\": 3, \"target\": 5}, {\"weight\": 7778, \"source\": 3, \"target\": 6}, {\"weight\": 3753, \"source\": 3, \"target\": 8}, {\"weight\": 12031, \"source\": 3, \"target\": 4}, {\"weight\": 7723, \"source\": 3, \"target\": 7}, {\"weight\": 12117, \"source\": 4, \"target\": 5}, {\"weight\": 5098, \"source\": 4, \"target\": 6}, {\"weight\": 14362, \"source\": 4, \"target\": 8}, {\"weight\": 11803, \"source\": 4, \"target\": 7}, {\"weight\": 9055, \"source\": 5, \"target\": 6}, {\"weight\": 3992, \"source\": 5, \"target\": 8}, {\"weight\": 3791, \"source\": 5, \"target\": 7}, {\"weight\": 10869, \"source\": 6, \"target\": 8}, {\"weight\": 8871, \"source\": 6, \"target\": 7}, {\"weight\": 7765, \"source\": 7, \"target\": 8}]}", "id": 324, "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: ROC, MME, EAE, KCT, JNN, KOW, PUY, NGK, BKS\n- Travel distances (in kilometers) between each pair of airports:\nROC to KOW: 12321\nROC to PUY: 7070\nROC to MME: 6147\nROC to BKS: 16192\nROC to JNN: 6338\nROC to EAE: 13572\nROC to NGK: 12624\nROC to KCT: 14369\nMME to KOW: 9574\nMME to PUY: 1539\nMME to BKS: 11698\nMME to JNN: 4114\nMME to EAE: 17300\nMME to NGK: 9254\nMME to KCT: 9002\nEAE to KOW: 8193\nEAE to PUY: 16981\nEAE to BKS: 7796\nEAE to JNN: 18221\nEAE to NGK: 9727\nEAE to KCT: 10579\nKCT to KOW: 4498\nKCT to PUY: 7778\nKCT to BKS: 3753\nKCT to JNN: 12031\nKCT to NGK: 7723\nJNN to KOW: 12117\nJNN to PUY: 5098\nJNN to BKS: 14362\nJNN to NGK: 11803\nKOW to PUY: 9055\nKOW to BKS: 3992\nKOW to NGK: 3791\nPUY to BKS: 10869\nPUY to NGK: 8871\nNGK to BKS: 7765\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: GOM, HDS, PHE, RFD, PHW, LMA, ITM, BSS, PMC\n- Travel distances (in kilometers) between each pair of airports:\nGOM to LMA: 18195\nGOM to ITM: 14733\nGOM to PMC: 12190\nGOM to RFD: 14999\nGOM to PHE: 13983\nGOM to BSS: 10501\nGOM to HDS: 4705\nGOM to PHW: 4742\nHDS to LMA: 19522\nHDS to ITM: 13533\nHDS to PMC: 11312\nHDS to RFD: 16318\nHDS to PHE: 9966\nHDS to BSS: 10057\nHDS to PHW: 725\nPHE to LMA: 16261\nPHE to ITM: 6811\nPHE to PMC: 16098\nPHE to RFD: 17830\nPHE to BSS: 19335\nPHE to PHW: 10003\nRFD to LMA: 6430\nRFD to ITM: 11689\nRFD to PMC: 9568\nRFD to BSS: 7301\nRFD to PHW: 16355\nPHW to LMA: 19559\nPHW to ITM: 13570\nPHW to PMC: 11349\nPHW to BSS: 10094\nLMA to ITM: 10812\nLMA to PMC: 14007\nLMA to BSS: 12221\nITM to PMC: 18822\nITM to BSS: 17439\nBSS to PMC: 5803\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]	{ "ground_truth": 64780, "style": "rule" }	{ "exact_answer": 64780, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"GOM\", \"id\": 0}, {\"name\": \"HDS\", \"id\": 1}, {\"name\": \"PHE\", \"id\": 2}, {\"name\": \"RFD\", \"id\": 3}, {\"name\": \"PHW\", \"id\": 4}, {\"name\": \"LMA\", \"id\": 5}, {\"name\": \"ITM\", \"id\": 6}, {\"name\": \"BSS\", \"id\": 7}, {\"name\": \"PMC\", \"id\": 8}], \"links\": [{\"weight\": 18195, \"source\": 0, \"target\": 5}, {\"weight\": 14733, \"source\": 0, \"target\": 6}, {\"weight\": 12190, \"source\": 0, \"target\": 8}, {\"weight\": 14999, \"source\": 0, \"target\": 3}, {\"weight\": 13983, \"source\": 0, \"target\": 2}, {\"weight\": 10501, \"source\": 0, \"target\": 7}, {\"weight\": 4705, \"source\": 0, \"target\": 1}, {\"weight\": 4742, \"source\": 0, \"target\": 4}, {\"weight\": 19522, \"source\": 1, \"target\": 5}, {\"weight\": 13533, \"source\": 1, \"target\": 6}, {\"weight\": 11312, \"source\": 1, \"target\": 8}, {\"weight\": 16318, \"source\": 1, \"target\": 3}, {\"weight\": 9966, \"source\": 1, \"target\": 2}, {\"weight\": 10057, \"source\": 1, \"target\": 7}, {\"weight\": 725, \"source\": 1, \"target\": 4}, {\"weight\": 16261, \"source\": 2, \"target\": 5}, {\"weight\": 6811, \"source\": 2, \"target\": 6}, {\"weight\": 16098, \"source\": 2, \"target\": 8}, {\"weight\": 17830, \"source\": 2, \"target\": 3}, {\"weight\": 19335, \"source\": 2, \"target\": 7}, {\"weight\": 10003, \"source\": 2, \"target\": 4}, {\"weight\": 6430, \"source\": 3, \"target\": 5}, {\"weight\": 11689, \"source\": 3, \"target\": 6}, {\"weight\": 9568, \"source\": 3, \"target\": 8}, {\"weight\": 7301, \"source\": 3, \"target\": 7}, {\"weight\": 16355, \"source\": 3, \"target\": 4}, {\"weight\": 19559, \"source\": 4, \"target\": 5}, {\"weight\": 13570, \"source\": 4, \"target\": 6}, {\"weight\": 11349, \"source\": 4, \"target\": 8}, {\"weight\": 10094, \"source\": 4, \"target\": 7}, {\"weight\": 10812, \"source\": 5, \"target\": 6}, {\"weight\": 14007, \"source\": 5, \"target\": 8}, {\"weight\": 12221, \"source\": 5, \"target\": 7}, {\"weight\": 18822, \"source\": 6, \"target\": 8}, {\"weight\": 17439, \"source\": 6, \"target\": 7}, {\"weight\": 5803, \"source\": 7, \"target\": 8}]}", "id": 325, "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: GOM, HDS, PHE, RFD, PHW, LMA, ITM, BSS, PMC\n- Travel distances (in kilometers) between each pair of airports:\nGOM to LMA: 18195\nGOM to ITM: 14733\nGOM to PMC: 12190\nGOM to RFD: 14999\nGOM to PHE: 13983\nGOM to BSS: 10501\nGOM to HDS: 4705\nGOM to PHW: 4742\nHDS to LMA: 19522\nHDS to ITM: 13533\nHDS to PMC: 11312\nHDS to RFD: 16318\nHDS to PHE: 9966\nHDS to BSS: 10057\nHDS to PHW: 725\nPHE to LMA: 16261\nPHE to ITM: 6811\nPHE to PMC: 16098\nPHE to RFD: 17830\nPHE to BSS: 19335\nPHE to PHW: 10003\nRFD to LMA: 6430\nRFD to ITM: 11689\nRFD to PMC: 9568\nRFD to BSS: 7301\nRFD to PHW: 16355\nPHW to LMA: 19559\nPHW to ITM: 13570\nPHW to PMC: 11349\nPHW to BSS: 10094\nLMA to ITM: 10812\nLMA to PMC: 14007\nLMA to BSS: 12221\nITM to PMC: 18822\nITM to BSS: 17439\nBSS to PMC: 5803\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: IXS, JED, BQB, LRE, CHU, APW, YXC, KNS, DYG\n- Travel distances (in kilometers) between each pair of airports:\nIXS to JED: 5526\nIXS to DYG: 3024\nIXS to CHU: 15577\nIXS to YXC: 13075\nIXS to LRE: 9138\nIXS to APW: 12566\nIXS to BQB: 7397\nIXS to KNS: 9460\nJED to DYG: 7104\nJED to CHU: 15159\nJED to YXC: 11867\nJED to LRE: 13244\nJED to APW: 16893\nJED to BQB: 10859\nJED to KNS: 13440\nBQB to DYG: 7055\nBQB to CHU: 16361\nBQB to YXC: 16250\nBQB to LRE: 4601\nBQB to APW: 7721\nBQB to KNS: 3159\nLRE to DYG: 7368\nLRE to CHU: 13543\nLRE to YXC: 13432\nLRE to APW: 4903\nLRE to KNS: 2628\nCHU to DYG: 12873\nCHU to YXC: 3464\nCHU to APW: 9200\nCHU to KNS: 14133\nAPW to DYG: 10260\nAPW to YXC: 9089\nAPW to KNS: 5288\nYXC to DYG: 10371\nYXC to KNS: 14000\nKNS to DYG: 8501\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]	{ "ground_truth": 50826, "style": "rule" }	{ "exact_answer": 50826, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"IXS\", \"id\": 0}, {\"name\": \"JED\", \"id\": 1}, {\"name\": \"BQB\", \"id\": 2}, {\"name\": \"LRE\", \"id\": 3}, {\"name\": \"CHU\", \"id\": 4}, {\"name\": \"APW\", \"id\": 5}, {\"name\": \"YXC\", \"id\": 6}, {\"name\": \"KNS\", \"id\": 7}, {\"name\": \"DYG\", \"id\": 8}], \"links\": [{\"weight\": 5526, \"source\": 0, \"target\": 1}, {\"weight\": 3024, \"source\": 0, \"target\": 8}, {\"weight\": 15577, \"source\": 0, \"target\": 4}, {\"weight\": 13075, \"source\": 0, \"target\": 6}, {\"weight\": 9138, \"source\": 0, \"target\": 3}, {\"weight\": 12566, \"source\": 0, \"target\": 5}, {\"weight\": 7397, \"source\": 0, \"target\": 2}, {\"weight\": 9460, \"source\": 0, \"target\": 7}, {\"weight\": 7104, \"source\": 1, \"target\": 8}, {\"weight\": 15159, \"source\": 1, \"target\": 4}, {\"weight\": 11867, \"source\": 1, \"target\": 6}, {\"weight\": 13244, \"source\": 1, \"target\": 3}, {\"weight\": 16893, \"source\": 1, \"target\": 5}, {\"weight\": 10859, \"source\": 1, \"target\": 2}, {\"weight\": 13440, \"source\": 1, \"target\": 7}, {\"weight\": 7055, \"source\": 2, \"target\": 8}, {\"weight\": 16361, \"source\": 2, \"target\": 4}, {\"weight\": 16250, \"source\": 2, \"target\": 6}, {\"weight\": 4601, \"source\": 2, \"target\": 3}, {\"weight\": 7721, \"source\": 2, \"target\": 5}, {\"weight\": 3159, \"source\": 2, \"target\": 7}, {\"weight\": 7368, \"source\": 3, \"target\": 8}, {\"weight\": 13543, \"source\": 3, \"target\": 4}, {\"weight\": 13432, \"source\": 3, \"target\": 6}, {\"weight\": 4903, \"source\": 3, \"target\": 5}, {\"weight\": 2628, \"source\": 3, \"target\": 7}, {\"weight\": 12873, \"source\": 4, \"target\": 8}, {\"weight\": 3464, \"source\": 4, \"target\": 6}, {\"weight\": 9200, \"source\": 4, \"target\": 5}, {\"weight\": 14133, \"source\": 4, \"target\": 7}, {\"weight\": 10260, \"source\": 5, \"target\": 8}, {\"weight\": 9089, \"source\": 5, \"target\": 6}, {\"weight\": 5288, \"source\": 5, \"target\": 7}, {\"weight\": 10371, \"source\": 6, \"target\": 8}, {\"weight\": 14000, \"source\": 6, \"target\": 7}, {\"weight\": 8501, \"source\": 7, \"target\": 8}]}", "id": 326, "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: IXS, JED, BQB, LRE, CHU, APW, YXC, KNS, DYG\n- Travel distances (in kilometers) between each pair of airports:\nIXS to JED: 5526\nIXS to DYG: 3024\nIXS to CHU: 15577\nIXS to YXC: 13075\nIXS to LRE: 9138\nIXS to APW: 12566\nIXS to BQB: 7397\nIXS to KNS: 9460\nJED to DYG: 7104\nJED to CHU: 15159\nJED to YXC: 11867\nJED to LRE: 13244\nJED to APW: 16893\nJED to BQB: 10859\nJED to KNS: 13440\nBQB to DYG: 7055\nBQB to CHU: 16361\nBQB to YXC: 16250\nBQB to LRE: 4601\nBQB to APW: 7721\nBQB to KNS: 3159\nLRE to DYG: 7368\nLRE to CHU: 13543\nLRE to YXC: 13432\nLRE to APW: 4903\nLRE to KNS: 2628\nCHU to DYG: 12873\nCHU to YXC: 3464\nCHU to APW: 9200\nCHU to KNS: 14133\nAPW to DYG: 10260\nAPW to YXC: 9089\nAPW to KNS: 5288\nYXC to DYG: 10371\nYXC to KNS: 14000\nKNS to DYG: 8501\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: CFU, BKC, BRQ, JGS, BEY, UPG, KEJ, GLH, DIY\n- Travel distances (in kilometers) between each pair of airports:\nCFU to GLH: 9424\nCFU to BKC: 12981\nCFU to DIY: 1815\nCFU to BEY: 1530\nCFU to UPG: 11316\nCFU to JGS: 8605\nCFU to BRQ: 3235\nCFU to KEJ: 5189\nBKC to GLH: 7127\nBKC to DIY: 14305\nBKC to BEY: 14268\nBKC to UPG: 16463\nBKC to JGS: 13476\nBKC to BRQ: 12218\nBKC to KEJ: 15445\nBRQ to GLH: 8618\nBRQ to DIY: 4684\nBRQ to BEY: 4656\nBRQ to UPG: 13893\nBRQ to JGS: 10411\nBRQ to KEJ: 6646\nJGS to GLH: 13640\nJGS to DIY: 8313\nJGS to BEY: 7769\nJGS to UPG: 3728\nJGS to KEJ: 9841\nBEY to GLH: 10869\nBEY to DIY: 1949\nBEY to UPG: 9832\nBEY to KEJ: 5461\nUPG to GLH: 17148\nUPG to DIY: 10846\nUPG to KEJ: 13256\nKEJ to GLH: 12279\nKEJ to DIY: 5709\nGLH to DIY: 10898\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\": \"CFU\", \"id\": 0}, {\"name\": \"BKC\", \"id\": 1}, {\"name\": \"BRQ\", \"id\": 2}, {\"name\": \"JGS\", \"id\": 3}, {\"name\": \"BEY\", \"id\": 4}, {\"name\": \"UPG\", \"id\": 5}, {\"name\": \"KEJ\", \"id\": 6}, {\"name\": \"GLH\", \"id\": 7}, {\"name\": \"DIY\", \"id\": 8}], \"links\": [{\"weight\": 9424, \"source\": 0, \"target\": 7}, {\"weight\": 12981, \"source\": 0, \"target\": 1}, {\"weight\": 1815, \"source\": 0, \"target\": 8}, {\"weight\": 1530, \"source\": 0, \"target\": 4}, {\"weight\": 11316, \"source\": 0, \"target\": 5}, {\"weight\": 8605, \"source\": 0, \"target\": 3}, {\"weight\": 3235, \"source\": 0, \"target\": 2}, {\"weight\": 5189, \"source\": 0, \"target\": 6}, {\"weight\": 7127, \"source\": 1, \"target\": 7}, {\"weight\": 14305, \"source\": 1, \"target\": 8}, {\"weight\": 14268, \"source\": 1, \"target\": 4}, {\"weight\": 16463, \"source\": 1, \"target\": 5}, {\"weight\": 13476, \"source\": 1, \"target\": 3}, {\"weight\": 12218, \"source\": 1, \"target\": 2}, {\"weight\": 15445, \"source\": 1, \"target\": 6}, {\"weight\": 8618, \"source\": 2, \"target\": 7}, {\"weight\": 4684, \"source\": 2, \"target\": 8}, {\"weight\": 4656, \"source\": 2, \"target\": 4}, {\"weight\": 13893, \"source\": 2, \"target\": 5}, {\"weight\": 10411, \"source\": 2, \"target\": 3}, {\"weight\": 6646, \"source\": 2, \"target\": 6}, {\"weight\": 13640, \"source\": 3, \"target\": 7}, {\"weight\": 8313, \"source\": 3, \"target\": 8}, {\"weight\": 7769, \"source\": 3, \"target\": 4}, {\"weight\": 3728, \"source\": 3, \"target\": 5}, {\"weight\": 9841, \"source\": 3, \"target\": 6}, {\"weight\": 10869, \"source\": 4, \"target\": 7}, {\"weight\": 1949, \"source\": 4, \"target\": 8}, {\"weight\": 9832, \"source\": 4, \"target\": 5}, {\"weight\": 5461, \"source\": 4, \"target\": 6}, {\"weight\": 17148, \"source\": 5, \"target\": 7}, {\"weight\": 10846, \"source\": 5, \"target\": 8}, {\"weight\": 13256, \"source\": 5, \"target\": 6}, {\"weight\": 12279, \"source\": 6, \"target\": 7}, {\"weight\": 5709, \"source\": 6, \"target\": 8}, {\"weight\": 10898, \"source\": 7, \"target\": 8}]}", "id": 327, "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: CFU, BKC, BRQ, JGS, BEY, UPG, KEJ, GLH, DIY\n- Travel distances (in kilometers) between each pair of airports:\nCFU to GLH: 9424\nCFU to BKC: 12981\nCFU to DIY: 1815\nCFU to BEY: 1530\nCFU to UPG: 11316\nCFU to JGS: 8605\nCFU to BRQ: 3235\nCFU to KEJ: 5189\nBKC to GLH: 7127\nBKC to DIY: 14305\nBKC to BEY: 14268\nBKC to UPG: 16463\nBKC to JGS: 13476\nBKC to BRQ: 12218\nBKC to KEJ: 15445\nBRQ to GLH: 8618\nBRQ to DIY: 4684\nBRQ to BEY: 4656\nBRQ to UPG: 13893\nBRQ to JGS: 10411\nBRQ to KEJ: 6646\nJGS to GLH: 13640\nJGS to DIY: 8313\nJGS to BEY: 7769\nJGS to UPG: 3728\nJGS to KEJ: 9841\nBEY to GLH: 10869\nBEY to DIY: 1949\nBEY to UPG: 9832\nBEY to KEJ: 5461\nUPG to GLH: 17148\nUPG to DIY: 10846\nUPG to KEJ: 13256\nKEJ to GLH: 12279\nKEJ to DIY: 5709\nGLH to DIY: 10898\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: POP, UDJ, TSR, YVQ, KBU, KUO, NYU, FIH, ACZ\n- Travel distances (in kilometers) between each pair of airports:\nPOP to YVQ: 6659\nPOP to NYU: 16336\nPOP to FIH: 12088\nPOP to KUO: 9148\nPOP to TSR: 8600\nPOP to ACZ: 12685\nPOP to KBU: 18513\nPOP to UDJ: 9729\nUDJ to YVQ: 10655\nUDJ to NYU: 8201\nUDJ to FIH: 7745\nUDJ to KUO: 2173\nUDJ to TSR: 2513\nUDJ to ACZ: 4798\nUDJ to KBU: 11346\nTSR to YVQ: 10085\nTSR to NYU: 8240\nTSR to FIH: 6055\nTSR to KUO: 2592\nTSR to ACZ: 4164\nTSR to KBU: 11276\nYVQ to NYU: 14016\nYVQ to FIH: 14450\nYVQ to KUO: 9397\nYVQ to ACZ: 14063\nYVQ to KBU: 15476\nKBU to NYU: 4199\nKBU to FIH: 11950\nKBU to KUO: 11204\nKBU to ACZ: 8439\nKUO to NYU: 8386\nKUO to FIH: 7711\nKUO to ACZ: 5376\nNYU to FIH: 10000\nNYU to ACZ: 5294\nFIH to ACZ: 7271\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]	{ "ground_truth": 58437, "style": "rule" }	{ "exact_answer": 58437, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"POP\", \"id\": 0}, {\"name\": \"UDJ\", \"id\": 1}, {\"name\": \"TSR\", \"id\": 2}, {\"name\": \"YVQ\", \"id\": 3}, {\"name\": \"KBU\", \"id\": 4}, {\"name\": \"KUO\", \"id\": 5}, {\"name\": \"NYU\", \"id\": 6}, {\"name\": \"FIH\", \"id\": 7}, {\"name\": \"ACZ\", \"id\": 8}], \"links\": [{\"weight\": 6659, \"source\": 0, \"target\": 3}, {\"weight\": 16336, \"source\": 0, \"target\": 6}, {\"weight\": 12088, \"source\": 0, \"target\": 7}, {\"weight\": 9148, \"source\": 0, \"target\": 5}, {\"weight\": 8600, \"source\": 0, \"target\": 2}, {\"weight\": 12685, \"source\": 0, \"target\": 8}, {\"weight\": 18513, \"source\": 0, \"target\": 4}, {\"weight\": 9729, \"source\": 0, \"target\": 1}, {\"weight\": 10655, \"source\": 1, \"target\": 3}, {\"weight\": 8201, \"source\": 1, \"target\": 6}, {\"weight\": 7745, \"source\": 1, \"target\": 7}, {\"weight\": 2173, \"source\": 1, \"target\": 5}, {\"weight\": 2513, \"source\": 1, \"target\": 2}, {\"weight\": 4798, \"source\": 1, \"target\": 8}, {\"weight\": 11346, \"source\": 1, \"target\": 4}, {\"weight\": 10085, \"source\": 2, \"target\": 3}, {\"weight\": 8240, \"source\": 2, \"target\": 6}, {\"weight\": 6055, \"source\": 2, \"target\": 7}, {\"weight\": 2592, \"source\": 2, \"target\": 5}, {\"weight\": 4164, \"source\": 2, \"target\": 8}, {\"weight\": 11276, \"source\": 2, \"target\": 4}, {\"weight\": 14016, \"source\": 3, \"target\": 6}, {\"weight\": 14450, \"source\": 3, \"target\": 7}, {\"weight\": 9397, \"source\": 3, \"target\": 5}, {\"weight\": 14063, \"source\": 3, \"target\": 8}, {\"weight\": 15476, \"source\": 3, \"target\": 4}, {\"weight\": 4199, \"source\": 4, \"target\": 6}, {\"weight\": 11950, \"source\": 4, \"target\": 7}, {\"weight\": 11204, \"source\": 4, \"target\": 5}, {\"weight\": 8439, \"source\": 4, \"target\": 8}, {\"weight\": 8386, \"source\": 5, \"target\": 6}, {\"weight\": 7711, \"source\": 5, \"target\": 7}, {\"weight\": 5376, \"source\": 5, \"target\": 8}, {\"weight\": 10000, \"source\": 6, \"target\": 7}, {\"weight\": 5294, \"source\": 6, \"target\": 8}, {\"weight\": 7271, \"source\": 7, \"target\": 8}]}", "id": 328, "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: POP, UDJ, TSR, YVQ, KBU, KUO, NYU, FIH, ACZ\n- Travel distances (in kilometers) between each pair of airports:\nPOP to YVQ: 6659\nPOP to NYU: 16336\nPOP to FIH: 12088\nPOP to KUO: 9148\nPOP to TSR: 8600\nPOP to ACZ: 12685\nPOP to KBU: 18513\nPOP to UDJ: 9729\nUDJ to YVQ: 10655\nUDJ to NYU: 8201\nUDJ to FIH: 7745\nUDJ to KUO: 2173\nUDJ to TSR: 2513\nUDJ to ACZ: 4798\nUDJ to KBU: 11346\nTSR to YVQ: 10085\nTSR to NYU: 8240\nTSR to FIH: 6055\nTSR to KUO: 2592\nTSR to ACZ: 4164\nTSR to KBU: 11276\nYVQ to NYU: 14016\nYVQ to FIH: 14450\nYVQ to KUO: 9397\nYVQ to ACZ: 14063\nYVQ to KBU: 15476\nKBU to NYU: 4199\nKBU to FIH: 11950\nKBU to KUO: 11204\nKBU to ACZ: 8439\nKUO to NYU: 8386\nKUO to FIH: 7711\nKUO to ACZ: 5376\nNYU to FIH: 10000\nNYU to ACZ: 5294\nFIH to ACZ: 7271\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: ACT, STT, KKJ, IKT, URT, KAL, BHB, KUF, SVU\n- Travel distances (in kilometers) between each pair of airports:\nACT to IKT: 13099\nACT to KKJ: 11342\nACT to KAL: 5798\nACT to KUF: 10369\nACT to BHB: 2968\nACT to STT: 3723\nACT to URT: 15305\nACT to SVU: 11245\nSTT to IKT: 13343\nSTT to KKJ: 14610\nSTT to KAL: 8919\nSTT to KUF: 10134\nSTT to BHB: 3046\nSTT to URT: 16873\nSTT to SVU: 14659\nKKJ to IKT: 4460\nKKJ to KAL: 11519\nKKJ to KUF: 8011\nKKJ to BHB: 12517\nKKJ to URT: 5944\nKKJ to SVU: 9822\nIKT to KAL: 13310\nIKT to KUF: 3580\nIKT to BHB: 11370\nIKT to URT: 4836\nIKT to SVU: 10902\nURT to KAL: 15516\nURT to KUF: 6796\nURT to BHB: 15074\nURT to SVU: 9613\nKAL to KUF: 12936\nKAL to BHB: 7104\nKAL to SVU: 10751\nBHB to KUF: 8327\nBHB to SVU: 13624\nKUF to SVU: 14388\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]	{ "ground_truth": 55242, "style": "rule" }	{ "exact_answer": 55242, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"ACT\", \"id\": 0}, {\"name\": \"STT\", \"id\": 1}, {\"name\": \"KKJ\", \"id\": 2}, {\"name\": \"IKT\", \"id\": 3}, {\"name\": \"URT\", \"id\": 4}, {\"name\": \"KAL\", \"id\": 5}, {\"name\": \"BHB\", \"id\": 6}, {\"name\": \"KUF\", \"id\": 7}, {\"name\": \"SVU\", \"id\": 8}], \"links\": [{\"weight\": 13099, \"source\": 0, \"target\": 3}, {\"weight\": 11342, \"source\": 0, \"target\": 2}, {\"weight\": 5798, \"source\": 0, \"target\": 5}, {\"weight\": 10369, \"source\": 0, \"target\": 7}, {\"weight\": 2968, \"source\": 0, \"target\": 6}, {\"weight\": 3723, \"source\": 0, \"target\": 1}, {\"weight\": 15305, \"source\": 0, \"target\": 4}, {\"weight\": 11245, \"source\": 0, \"target\": 8}, {\"weight\": 13343, \"source\": 1, \"target\": 3}, {\"weight\": 14610, \"source\": 1, \"target\": 2}, {\"weight\": 8919, \"source\": 1, \"target\": 5}, {\"weight\": 10134, \"source\": 1, \"target\": 7}, {\"weight\": 3046, \"source\": 1, \"target\": 6}, {\"weight\": 16873, \"source\": 1, \"target\": 4}, {\"weight\": 14659, \"source\": 1, \"target\": 8}, {\"weight\": 4460, \"source\": 2, \"target\": 3}, {\"weight\": 11519, \"source\": 2, \"target\": 5}, {\"weight\": 8011, \"source\": 2, \"target\": 7}, {\"weight\": 12517, \"source\": 2, \"target\": 6}, {\"weight\": 5944, \"source\": 2, \"target\": 4}, {\"weight\": 9822, \"source\": 2, \"target\": 8}, {\"weight\": 13310, \"source\": 3, \"target\": 5}, {\"weight\": 3580, \"source\": 3, \"target\": 7}, {\"weight\": 11370, \"source\": 3, \"target\": 6}, {\"weight\": 4836, \"source\": 3, \"target\": 4}, {\"weight\": 10902, \"source\": 3, \"target\": 8}, {\"weight\": 15516, \"source\": 4, \"target\": 5}, {\"weight\": 6796, \"source\": 4, \"target\": 7}, {\"weight\": 15074, \"source\": 4, \"target\": 6}, {\"weight\": 9613, \"source\": 4, \"target\": 8}, {\"weight\": 12936, \"source\": 5, \"target\": 7}, {\"weight\": 7104, \"source\": 5, \"target\": 6}, {\"weight\": 10751, \"source\": 5, \"target\": 8}, {\"weight\": 8327, \"source\": 6, \"target\": 7}, {\"weight\": 13624, \"source\": 6, \"target\": 8}, {\"weight\": 14388, \"source\": 7, \"target\": 8}]}", "id": 329, "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: ACT, STT, KKJ, IKT, URT, KAL, BHB, KUF, SVU\n- Travel distances (in kilometers) between each pair of airports:\nACT to IKT: 13099\nACT to KKJ: 11342\nACT to KAL: 5798\nACT to KUF: 10369\nACT to BHB: 2968\nACT to STT: 3723\nACT to URT: 15305\nACT to SVU: 11245\nSTT to IKT: 13343\nSTT to KKJ: 14610\nSTT to KAL: 8919\nSTT to KUF: 10134\nSTT to BHB: 3046\nSTT to URT: 16873\nSTT to SVU: 14659\nKKJ to IKT: 4460\nKKJ to KAL: 11519\nKKJ to KUF: 8011\nKKJ to BHB: 12517\nKKJ to URT: 5944\nKKJ to SVU: 9822\nIKT to KAL: 13310\nIKT to KUF: 3580\nIKT to BHB: 11370\nIKT to URT: 4836\nIKT to SVU: 10902\nURT to KAL: 15516\nURT to KUF: 6796\nURT to BHB: 15074\nURT to SVU: 9613\nKAL to KUF: 12936\nKAL to BHB: 7104\nKAL to SVU: 10751\nBHB to KUF: 8327\nBHB to SVU: 13624\nKUF to SVU: 14388\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: TDX, HNH, IXL, SFN, YWP, HOU, KWE, LAN, NAH\n- Travel distances (in kilometers) between each pair of airports:\nTDX to KWE: 1946\nTDX to SFN: 18746\nTDX to LAN: 14313\nTDX to IXL: 3798\nTDX to HOU: 15249\nTDX to HNH: 13742\nTDX to NAH: 4219\nTDX to YWP: 15030\nHNH to KWE: 11951\nHNH to SFN: 13112\nHNH to LAN: 4489\nHNH to IXL: 14623\nHNH to HOU: 4581\nHNH to NAH: 15439\nHNH to YWP: 4560\nIXL to KWE: 3631\nIXL to SFN: 16797\nIXL to LAN: 12417\nIXL to HOU: 14046\nIXL to NAH: 7350\nIXL to YWP: 13394\nSFN to KWE: 19422\nSFN to LAN: 9533\nSFN to HOU: 9080\nSFN to NAH: 19320\nSFN to YWP: 11032\nYWP to KWE: 13239\nYWP to LAN: 1901\nYWP to HOU: 3470\nYWP to NAH: 16532\nHOU to KWE: 13458\nHOU to LAN: 1808\nHOU to NAH: 16981\nKWE to LAN: 12522\nKWE to NAH: 4818\nLAN to NAH: 16550\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]	{ "ground_truth": 58932, "style": "rule" }	{ "exact_answer": 58932, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"TDX\", \"id\": 0}, {\"name\": \"HNH\", \"id\": 1}, {\"name\": \"IXL\", \"id\": 2}, {\"name\": \"SFN\", \"id\": 3}, {\"name\": \"YWP\", \"id\": 4}, {\"name\": \"HOU\", \"id\": 5}, {\"name\": \"KWE\", \"id\": 6}, {\"name\": \"LAN\", \"id\": 7}, {\"name\": \"NAH\", \"id\": 8}], \"links\": [{\"weight\": 1946, \"source\": 0, \"target\": 6}, {\"weight\": 18746, \"source\": 0, \"target\": 3}, {\"weight\": 14313, \"source\": 0, \"target\": 7}, {\"weight\": 3798, \"source\": 0, \"target\": 2}, {\"weight\": 15249, \"source\": 0, \"target\": 5}, {\"weight\": 13742, \"source\": 0, \"target\": 1}, {\"weight\": 4219, \"source\": 0, \"target\": 8}, {\"weight\": 15030, \"source\": 0, \"target\": 4}, {\"weight\": 11951, \"source\": 1, \"target\": 6}, {\"weight\": 13112, \"source\": 1, \"target\": 3}, {\"weight\": 4489, \"source\": 1, \"target\": 7}, {\"weight\": 14623, \"source\": 1, \"target\": 2}, {\"weight\": 4581, \"source\": 1, \"target\": 5}, {\"weight\": 15439, \"source\": 1, \"target\": 8}, {\"weight\": 4560, \"source\": 1, \"target\": 4}, {\"weight\": 3631, \"source\": 2, \"target\": 6}, {\"weight\": 16797, \"source\": 2, \"target\": 3}, {\"weight\": 12417, \"source\": 2, \"target\": 7}, {\"weight\": 14046, \"source\": 2, \"target\": 5}, {\"weight\": 7350, \"source\": 2, \"target\": 8}, {\"weight\": 13394, \"source\": 2, \"target\": 4}, {\"weight\": 19422, \"source\": 3, \"target\": 6}, {\"weight\": 9533, \"source\": 3, \"target\": 7}, {\"weight\": 9080, \"source\": 3, \"target\": 5}, {\"weight\": 19320, \"source\": 3, \"target\": 8}, {\"weight\": 11032, \"source\": 3, \"target\": 4}, {\"weight\": 13239, \"source\": 4, \"target\": 6}, {\"weight\": 1901, \"source\": 4, \"target\": 7}, {\"weight\": 3470, \"source\": 4, \"target\": 5}, {\"weight\": 16532, \"source\": 4, \"target\": 8}, {\"weight\": 13458, \"source\": 5, \"target\": 6}, {\"weight\": 1808, \"source\": 5, \"target\": 7}, {\"weight\": 16981, \"source\": 5, \"target\": 8}, {\"weight\": 12522, \"source\": 6, \"target\": 7}, {\"weight\": 4818, \"source\": 6, \"target\": 8}, {\"weight\": 16550, \"source\": 7, \"target\": 8}]}", "id": 330, "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: TDX, HNH, IXL, SFN, YWP, HOU, KWE, LAN, NAH\n- Travel distances (in kilometers) between each pair of airports:\nTDX to KWE: 1946\nTDX to SFN: 18746\nTDX to LAN: 14313\nTDX to IXL: 3798\nTDX to HOU: 15249\nTDX to HNH: 13742\nTDX to NAH: 4219\nTDX to YWP: 15030\nHNH to KWE: 11951\nHNH to SFN: 13112\nHNH to LAN: 4489\nHNH to IXL: 14623\nHNH to HOU: 4581\nHNH to NAH: 15439\nHNH to YWP: 4560\nIXL to KWE: 3631\nIXL to SFN: 16797\nIXL to LAN: 12417\nIXL to HOU: 14046\nIXL to NAH: 7350\nIXL to YWP: 13394\nSFN to KWE: 19422\nSFN to LAN: 9533\nSFN to HOU: 9080\nSFN to NAH: 19320\nSFN to YWP: 11032\nYWP to KWE: 13239\nYWP to LAN: 1901\nYWP to HOU: 3470\nYWP to NAH: 16532\nHOU to KWE: 13458\nHOU to LAN: 1808\nHOU to NAH: 16981\nKWE to LAN: 12522\nKWE to NAH: 4818\nLAN to NAH: 16550\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: TYS, ADF, JXA, PVG, HNH, HBA, KHY, SDG, CSH\n- Travel distances (in kilometers) between each pair of airports:\nTYS to PVG: 12098\nTYS to CSH: 8914\nTYS to JXA: 12428\nTYS to KHY: 11770\nTYS to SDG: 11523\nTYS to HNH: 5026\nTYS to HBA: 16085\nTYS to ADF: 9959\nADF to PVG: 8377\nADF to CSH: 3902\nADF to JXA: 8384\nADF to KHY: 3571\nADF to SDG: 3324\nADF to HNH: 12372\nADF to HBA: 15459\nJXA to PVG: 2024\nJXA to CSH: 7373\nJXA to KHY: 7577\nJXA to SDG: 7330\nJXA to HNH: 10570\nJXA to HBA: 10658\nPVG to CSH: 7818\nPVG to KHY: 7215\nPVG to SDG: 6968\nPVG to HNH: 10704\nPVG to HBA: 8634\nHNH to CSH: 11073\nHNH to KHY: 14135\nHNH to SDG: 13888\nHNH to HBA: 14653\nHBA to CSH: 16160\nHBA to KHY: 14065\nHBA to SDG: 13818\nKHY to CSH: 4758\nKHY to SDG: 1031\nSDG to CSH: 4511\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]	{ "ground_truth": 55085, "style": "rule" }	{ "exact_answer": 55085, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"TYS\", \"id\": 0}, {\"name\": \"ADF\", \"id\": 1}, {\"name\": \"JXA\", \"id\": 2}, {\"name\": \"PVG\", \"id\": 3}, {\"name\": \"HNH\", \"id\": 4}, {\"name\": \"HBA\", \"id\": 5}, {\"name\": \"KHY\", \"id\": 6}, {\"name\": \"SDG\", \"id\": 7}, {\"name\": \"CSH\", \"id\": 8}], \"links\": [{\"weight\": 12098, \"source\": 0, \"target\": 3}, {\"weight\": 8914, \"source\": 0, \"target\": 8}, {\"weight\": 12428, \"source\": 0, \"target\": 2}, {\"weight\": 11770, \"source\": 0, \"target\": 6}, {\"weight\": 11523, \"source\": 0, \"target\": 7}, {\"weight\": 5026, \"source\": 0, \"target\": 4}, {\"weight\": 16085, \"source\": 0, \"target\": 5}, {\"weight\": 9959, \"source\": 0, \"target\": 1}, {\"weight\": 8377, \"source\": 1, \"target\": 3}, {\"weight\": 3902, \"source\": 1, \"target\": 8}, {\"weight\": 8384, \"source\": 1, \"target\": 2}, {\"weight\": 3571, \"source\": 1, \"target\": 6}, {\"weight\": 3324, \"source\": 1, \"target\": 7}, {\"weight\": 12372, \"source\": 1, \"target\": 4}, {\"weight\": 15459, \"source\": 1, \"target\": 5}, {\"weight\": 2024, \"source\": 2, \"target\": 3}, {\"weight\": 7373, \"source\": 2, \"target\": 8}, {\"weight\": 7577, \"source\": 2, \"target\": 6}, {\"weight\": 7330, \"source\": 2, \"target\": 7}, {\"weight\": 10570, \"source\": 2, \"target\": 4}, {\"weight\": 10658, \"source\": 2, \"target\": 5}, {\"weight\": 7818, \"source\": 3, \"target\": 8}, {\"weight\": 7215, \"source\": 3, \"target\": 6}, {\"weight\": 6968, \"source\": 3, \"target\": 7}, {\"weight\": 10704, \"source\": 3, \"target\": 4}, {\"weight\": 8634, \"source\": 3, \"target\": 5}, {\"weight\": 11073, \"source\": 4, \"target\": 8}, {\"weight\": 14135, \"source\": 4, \"target\": 6}, {\"weight\": 13888, \"source\": 4, \"target\": 7}, {\"weight\": 14653, \"source\": 4, \"target\": 5}, {\"weight\": 16160, \"source\": 5, \"target\": 8}, {\"weight\": 14065, \"source\": 5, \"target\": 6}, {\"weight\": 13818, \"source\": 5, \"target\": 7}, {\"weight\": 4758, \"source\": 6, \"target\": 8}, {\"weight\": 1031, \"source\": 6, \"target\": 7}, {\"weight\": 4511, \"source\": 7, \"target\": 8}]}", "id": 331, "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: TYS, ADF, JXA, PVG, HNH, HBA, KHY, SDG, CSH\n- Travel distances (in kilometers) between each pair of airports:\nTYS to PVG: 12098\nTYS to CSH: 8914\nTYS to JXA: 12428\nTYS to KHY: 11770\nTYS to SDG: 11523\nTYS to HNH: 5026\nTYS to HBA: 16085\nTYS to ADF: 9959\nADF to PVG: 8377\nADF to CSH: 3902\nADF to JXA: 8384\nADF to KHY: 3571\nADF to SDG: 3324\nADF to HNH: 12372\nADF to HBA: 15459\nJXA to PVG: 2024\nJXA to CSH: 7373\nJXA to KHY: 7577\nJXA to SDG: 7330\nJXA to HNH: 10570\nJXA to HBA: 10658\nPVG to CSH: 7818\nPVG to KHY: 7215\nPVG to SDG: 6968\nPVG to HNH: 10704\nPVG to HBA: 8634\nHNH to CSH: 11073\nHNH to KHY: 14135\nHNH to SDG: 13888\nHNH to HBA: 14653\nHBA to CSH: 16160\nHBA to KHY: 14065\nHBA to SDG: 13818\nKHY to CSH: 4758\nKHY to SDG: 1031\nSDG to CSH: 4511\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: GTF, LNJ, WLK, LDE, PEC, SZE, GIU, KOA, LBS\n- Travel distances (in kilometers) between each pair of airports:\nGTF to WLK: 4143\nGTF to LDE: 8874\nGTF to KOA: 5147\nGTF to LNJ: 11913\nGTF to SZE: 14116\nGTF to LBS: 10481\nGTF to PEC: 2388\nGTF to GIU: 14737\nLNJ to WLK: 14414\nLNJ to LDE: 9786\nLNJ to KOA: 10462\nLNJ to SZE: 7615\nLNJ to LBS: 9941\nLNJ to PEC: 12659\nLNJ to GIU: 3508\nWLK to LDE: 11985\nWLK to KOA: 5733\nWLK to SZE: 17207\nWLK to LBS: 10824\nWLK to PEC: 2019\nWLK to GIU: 17238\nLDE to KOA: 12967\nLDE to SZE: 6193\nLDE to LBS: 17978\nLDE to PEC: 10230\nLDE to GIU: 8807\nPEC to KOA: 5758\nPEC to SZE: 15452\nPEC to LBS: 10849\nPEC to GIU: 15483\nSZE to KOA: 17062\nSZE to LBS: 16664\nSZE to GIU: 5773\nGIU to KOA: 13348\nGIU to LBS: 11393\nKOA to LBS: 5615\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]	{ "ground_truth": 50044, "style": "rule" }	{ "exact_answer": 50044, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"GTF\", \"id\": 0}, {\"name\": \"LNJ\", \"id\": 1}, {\"name\": \"WLK\", \"id\": 2}, {\"name\": \"LDE\", \"id\": 3}, {\"name\": \"PEC\", \"id\": 4}, {\"name\": \"SZE\", \"id\": 5}, {\"name\": \"GIU\", \"id\": 6}, {\"name\": \"KOA\", \"id\": 7}, {\"name\": \"LBS\", \"id\": 8}], \"links\": [{\"weight\": 4143, \"source\": 0, \"target\": 2}, {\"weight\": 8874, \"source\": 0, \"target\": 3}, {\"weight\": 5147, \"source\": 0, \"target\": 7}, {\"weight\": 11913, \"source\": 0, \"target\": 1}, {\"weight\": 14116, \"source\": 0, \"target\": 5}, {\"weight\": 10481, \"source\": 0, \"target\": 8}, {\"weight\": 2388, \"source\": 0, \"target\": 4}, {\"weight\": 14737, \"source\": 0, \"target\": 6}, {\"weight\": 14414, \"source\": 1, \"target\": 2}, {\"weight\": 9786, \"source\": 1, \"target\": 3}, {\"weight\": 10462, \"source\": 1, \"target\": 7}, {\"weight\": 7615, \"source\": 1, \"target\": 5}, {\"weight\": 9941, \"source\": 1, \"target\": 8}, {\"weight\": 12659, \"source\": 1, \"target\": 4}, {\"weight\": 3508, \"source\": 1, \"target\": 6}, {\"weight\": 11985, \"source\": 2, \"target\": 3}, {\"weight\": 5733, \"source\": 2, \"target\": 7}, {\"weight\": 17207, \"source\": 2, \"target\": 5}, {\"weight\": 10824, \"source\": 2, \"target\": 8}, {\"weight\": 2019, \"source\": 2, \"target\": 4}, {\"weight\": 17238, \"source\": 2, \"target\": 6}, {\"weight\": 12967, \"source\": 3, \"target\": 7}, {\"weight\": 6193, \"source\": 3, \"target\": 5}, {\"weight\": 17978, \"source\": 3, \"target\": 8}, {\"weight\": 10230, \"source\": 3, \"target\": 4}, {\"weight\": 8807, \"source\": 3, \"target\": 6}, {\"weight\": 5758, \"source\": 4, \"target\": 7}, {\"weight\": 15452, \"source\": 4, \"target\": 5}, {\"weight\": 10849, \"source\": 4, \"target\": 8}, {\"weight\": 15483, \"source\": 4, \"target\": 6}, {\"weight\": 17062, \"source\": 5, \"target\": 7}, {\"weight\": 16664, \"source\": 5, \"target\": 8}, {\"weight\": 5773, \"source\": 5, \"target\": 6}, {\"weight\": 13348, \"source\": 6, \"target\": 7}, {\"weight\": 11393, \"source\": 6, \"target\": 8}, {\"weight\": 5615, \"source\": 7, \"target\": 8}]}", "id": 332, "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: GTF, LNJ, WLK, LDE, PEC, SZE, GIU, KOA, LBS\n- Travel distances (in kilometers) between each pair of airports:\nGTF to WLK: 4143\nGTF to LDE: 8874\nGTF to KOA: 5147\nGTF to LNJ: 11913\nGTF to SZE: 14116\nGTF to LBS: 10481\nGTF to PEC: 2388\nGTF to GIU: 14737\nLNJ to WLK: 14414\nLNJ to LDE: 9786\nLNJ to KOA: 10462\nLNJ to SZE: 7615\nLNJ to LBS: 9941\nLNJ to PEC: 12659\nLNJ to GIU: 3508\nWLK to LDE: 11985\nWLK to KOA: 5733\nWLK to SZE: 17207\nWLK to LBS: 10824\nWLK to PEC: 2019\nWLK to GIU: 17238\nLDE to KOA: 12967\nLDE to SZE: 6193\nLDE to LBS: 17978\nLDE to PEC: 10230\nLDE to GIU: 8807\nPEC to KOA: 5758\nPEC to SZE: 15452\nPEC to LBS: 10849\nPEC to GIU: 15483\nSZE to KOA: 17062\nSZE to LBS: 16664\nSZE to GIU: 5773\nGIU to KOA: 13348\nGIU to LBS: 11393\nKOA to LBS: 5615\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: PNS, LOE, RPR, DAC, MLA, PDG, WNH, VLI, BEJ\n- Travel distances (in kilometers) between each pair of airports:\nPNS to DAC: 14717\nPNS to RPR: 14237\nPNS to MLA: 9037\nPNS to PDG: 16677\nPNS to WNH: 14191\nPNS to LOE: 15564\nPNS to VLI: 12809\nPNS to BEJ: 16752\nLOE to DAC: 1967\nLOE to RPR: 2729\nLOE to MLA: 9202\nLOE to PDG: 2078\nLOE to WNH: 1898\nLOE to VLI: 9236\nLOE to BEJ: 3702\nRPR to DAC: 950\nRPR to MLA: 6816\nRPR to PDG: 3767\nRPR to WNH: 2424\nRPR to VLI: 10945\nRPR to BEJ: 5170\nDAC to MLA: 7296\nDAC to PDG: 3063\nDAC to WNH: 1492\nDAC to VLI: 10161\nDAC to BEJ: 4746\nMLA to PDG: 10026\nMLA to WNH: 8672\nMLA to VLI: 17134\nMLA to BEJ: 11736\nPDG to WNH: 3134\nPDG to VLI: 8112\nPDG to BEJ: 2305\nWNH to VLI: 9158\nWNH to BEJ: 4563\nVLI to BEJ: 7445\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]	{ "ground_truth": 44830, "style": "rule" }	{ "exact_answer": 44830, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"PNS\", \"id\": 0}, {\"name\": \"LOE\", \"id\": 1}, {\"name\": \"RPR\", \"id\": 2}, {\"name\": \"DAC\", \"id\": 3}, {\"name\": \"MLA\", \"id\": 4}, {\"name\": \"PDG\", \"id\": 5}, {\"name\": \"WNH\", \"id\": 6}, {\"name\": \"VLI\", \"id\": 7}, {\"name\": \"BEJ\", \"id\": 8}], \"links\": [{\"weight\": 14717, \"source\": 0, \"target\": 3}, {\"weight\": 14237, \"source\": 0, \"target\": 2}, {\"weight\": 9037, \"source\": 0, \"target\": 4}, {\"weight\": 16677, \"source\": 0, \"target\": 5}, {\"weight\": 14191, \"source\": 0, \"target\": 6}, {\"weight\": 15564, \"source\": 0, \"target\": 1}, {\"weight\": 12809, \"source\": 0, \"target\": 7}, {\"weight\": 16752, \"source\": 0, \"target\": 8}, {\"weight\": 1967, \"source\": 1, \"target\": 3}, {\"weight\": 2729, \"source\": 1, \"target\": 2}, {\"weight\": 9202, \"source\": 1, \"target\": 4}, {\"weight\": 2078, \"source\": 1, \"target\": 5}, {\"weight\": 1898, \"source\": 1, \"target\": 6}, {\"weight\": 9236, \"source\": 1, \"target\": 7}, {\"weight\": 3702, \"source\": 1, \"target\": 8}, {\"weight\": 950, \"source\": 2, \"target\": 3}, {\"weight\": 6816, \"source\": 2, \"target\": 4}, {\"weight\": 3767, \"source\": 2, \"target\": 5}, {\"weight\": 2424, \"source\": 2, \"target\": 6}, {\"weight\": 10945, \"source\": 2, \"target\": 7}, {\"weight\": 5170, \"source\": 2, \"target\": 8}, {\"weight\": 7296, \"source\": 3, \"target\": 4}, {\"weight\": 3063, \"source\": 3, \"target\": 5}, {\"weight\": 1492, \"source\": 3, \"target\": 6}, {\"weight\": 10161, \"source\": 3, \"target\": 7}, {\"weight\": 4746, \"source\": 3, \"target\": 8}, {\"weight\": 10026, \"source\": 4, \"target\": 5}, {\"weight\": 8672, \"source\": 4, \"target\": 6}, {\"weight\": 17134, \"source\": 4, \"target\": 7}, {\"weight\": 11736, \"source\": 4, \"target\": 8}, {\"weight\": 3134, \"source\": 5, \"target\": 6}, {\"weight\": 8112, \"source\": 5, \"target\": 7}, {\"weight\": 2305, \"source\": 5, \"target\": 8}, {\"weight\": 9158, \"source\": 6, \"target\": 7}, {\"weight\": 4563, \"source\": 6, \"target\": 8}, {\"weight\": 7445, \"source\": 7, \"target\": 8}]}", "id": 333, "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: PNS, LOE, RPR, DAC, MLA, PDG, WNH, VLI, BEJ\n- Travel distances (in kilometers) between each pair of airports:\nPNS to DAC: 14717\nPNS to RPR: 14237\nPNS to MLA: 9037\nPNS to PDG: 16677\nPNS to WNH: 14191\nPNS to LOE: 15564\nPNS to VLI: 12809\nPNS to BEJ: 16752\nLOE to DAC: 1967\nLOE to RPR: 2729\nLOE to MLA: 9202\nLOE to PDG: 2078\nLOE to WNH: 1898\nLOE to VLI: 9236\nLOE to BEJ: 3702\nRPR to DAC: 950\nRPR to MLA: 6816\nRPR to PDG: 3767\nRPR to WNH: 2424\nRPR to VLI: 10945\nRPR to BEJ: 5170\nDAC to MLA: 7296\nDAC to PDG: 3063\nDAC to WNH: 1492\nDAC to VLI: 10161\nDAC to BEJ: 4746\nMLA to PDG: 10026\nMLA to WNH: 8672\nMLA to VLI: 17134\nMLA to BEJ: 11736\nPDG to WNH: 3134\nPDG to VLI: 8112\nPDG to BEJ: 2305\nWNH to VLI: 9158\nWNH to BEJ: 4563\nVLI to BEJ: 7445\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: LQM, SOG, CXJ, POL, VIL, UEL, HEL, LAN, LKL\n- Travel distances (in kilometers) between each pair of airports:\nLQM to HEL: 10998\nLQM to LAN: 4982\nLQM to CXJ: 5888\nLQM to VIL: 7966\nLQM to POL: 14459\nLQM to UEL: 13794\nLQM to LKL: 11483\nLQM to SOG: 10223\nSOG to HEL: 1003\nSOG to LAN: 6262\nSOG to CXJ: 11454\nSOG to VIL: 4531\nSOG to POL: 8813\nSOG to UEL: 10019\nSOG to LKL: 1524\nCXJ to HEL: 12089\nCXJ to LAN: 8994\nCXJ to VIL: 7926\nCXJ to POL: 10195\nCXJ to UEL: 9530\nCXJ to LKL: 12762\nPOL to HEL: 8279\nPOL to LAN: 14327\nPOL to VIL: 8984\nPOL to UEL: 1264\nPOL to LKL: 9676\nVIL to HEL: 5160\nVIL to LAN: 6975\nVIL to UEL: 9795\nVIL to LKL: 5843\nUEL to HEL: 9495\nUEL to LAN: 15044\nUEL to LKL: 10882\nHEL to LAN: 7076\nHEL to LKL: 1748\nLAN to LKL: 7273\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]	{ "ground_truth": 44721, "style": "rule" }	{ "exact_answer": 44721, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"LQM\", \"id\": 0}, {\"name\": \"SOG\", \"id\": 1}, {\"name\": \"CXJ\", \"id\": 2}, {\"name\": \"POL\", \"id\": 3}, {\"name\": \"VIL\", \"id\": 4}, {\"name\": \"UEL\", \"id\": 5}, {\"name\": \"HEL\", \"id\": 6}, {\"name\": \"LAN\", \"id\": 7}, {\"name\": \"LKL\", \"id\": 8}], \"links\": [{\"weight\": 10998, \"source\": 0, \"target\": 6}, {\"weight\": 4982, \"source\": 0, \"target\": 7}, {\"weight\": 5888, \"source\": 0, \"target\": 2}, {\"weight\": 7966, \"source\": 0, \"target\": 4}, {\"weight\": 14459, \"source\": 0, \"target\": 3}, {\"weight\": 13794, \"source\": 0, \"target\": 5}, {\"weight\": 11483, \"source\": 0, \"target\": 8}, {\"weight\": 10223, \"source\": 0, \"target\": 1}, {\"weight\": 1003, \"source\": 1, \"target\": 6}, {\"weight\": 6262, \"source\": 1, \"target\": 7}, {\"weight\": 11454, \"source\": 1, \"target\": 2}, {\"weight\": 4531, \"source\": 1, \"target\": 4}, {\"weight\": 8813, \"source\": 1, \"target\": 3}, {\"weight\": 10019, \"source\": 1, \"target\": 5}, {\"weight\": 1524, \"source\": 1, \"target\": 8}, {\"weight\": 12089, \"source\": 2, \"target\": 6}, {\"weight\": 8994, \"source\": 2, \"target\": 7}, {\"weight\": 7926, \"source\": 2, \"target\": 4}, {\"weight\": 10195, \"source\": 2, \"target\": 3}, {\"weight\": 9530, \"source\": 2, \"target\": 5}, {\"weight\": 12762, \"source\": 2, \"target\": 8}, {\"weight\": 8279, \"source\": 3, \"target\": 6}, {\"weight\": 14327, \"source\": 3, \"target\": 7}, {\"weight\": 8984, \"source\": 3, \"target\": 4}, {\"weight\": 1264, \"source\": 3, \"target\": 5}, {\"weight\": 9676, \"source\": 3, \"target\": 8}, {\"weight\": 5160, \"source\": 4, \"target\": 6}, {\"weight\": 6975, \"source\": 4, \"target\": 7}, {\"weight\": 9795, \"source\": 4, \"target\": 5}, {\"weight\": 5843, \"source\": 4, \"target\": 8}, {\"weight\": 9495, \"source\": 5, \"target\": 6}, {\"weight\": 15044, \"source\": 5, \"target\": 7}, {\"weight\": 10882, \"source\": 5, \"target\": 8}, {\"weight\": 7076, \"source\": 6, \"target\": 7}, {\"weight\": 1748, \"source\": 6, \"target\": 8}, {\"weight\": 7273, \"source\": 7, \"target\": 8}]}", "id": 334, "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: LQM, SOG, CXJ, POL, VIL, UEL, HEL, LAN, LKL\n- Travel distances (in kilometers) between each pair of airports:\nLQM to HEL: 10998\nLQM to LAN: 4982\nLQM to CXJ: 5888\nLQM to VIL: 7966\nLQM to POL: 14459\nLQM to UEL: 13794\nLQM to LKL: 11483\nLQM to SOG: 10223\nSOG to HEL: 1003\nSOG to LAN: 6262\nSOG to CXJ: 11454\nSOG to VIL: 4531\nSOG to POL: 8813\nSOG to UEL: 10019\nSOG to LKL: 1524\nCXJ to HEL: 12089\nCXJ to LAN: 8994\nCXJ to VIL: 7926\nCXJ to POL: 10195\nCXJ to UEL: 9530\nCXJ to LKL: 12762\nPOL to HEL: 8279\nPOL to LAN: 14327\nPOL to VIL: 8984\nPOL to UEL: 1264\nPOL to LKL: 9676\nVIL to HEL: 5160\nVIL to LAN: 6975\nVIL to UEL: 9795\nVIL to LKL: 5843\nUEL to HEL: 9495\nUEL to LAN: 15044\nUEL to LKL: 10882\nHEL to LAN: 7076\nHEL to LKL: 1748\nLAN to LKL: 7273\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, IXU, BEY, UMD, ROW, CJL, HOE, ULK, CJA\n- Travel distances (in kilometers) between each pair of airports:\nIXB to ULK: 9016\nIXB to IXU: 2107\nIXB to ROW: 15134\nIXB to BEY: 5121\nIXB to UMD: 10838\nIXB to CJA: 18475\nIXB to CJL: 2084\nIXB to HOE: 2716\nIXU to ULK: 8918\nIXU to ROW: 14993\nIXU to BEY: 4323\nIXU to UMD: 10637\nIXU to CJA: 17900\nIXU to CJL: 1943\nIXU to HOE: 4129\nBEY to ULK: 9411\nBEY to ROW: 11792\nBEY to UMD: 6869\nBEY to CJA: 13601\nBEY to CJL: 3519\nBEY to HOE: 7577\nUMD to ULK: 12984\nUMD to ROW: 8958\nUMD to CJA: 12746\nUMD to CJL: 9300\nUMD to HOE: 12928\nROW to ULK: 17296\nROW to CJA: 6686\nROW to CJL: 13891\nROW to HOE: 15141\nCJL to ULK: 7641\nCJL to CJA: 16802\nCJL to HOE: 4540\nHOE to ULK: 8417\nHOE to CJA: 20313\nULK to CJA: 20878\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]	{ "ground_truth": 60931, "style": "rule" }	{ "exact_answer": 60931, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"IXB\", \"id\": 0}, {\"name\": \"IXU\", \"id\": 1}, {\"name\": \"BEY\", \"id\": 2}, {\"name\": \"UMD\", \"id\": 3}, {\"name\": \"ROW\", \"id\": 4}, {\"name\": \"CJL\", \"id\": 5}, {\"name\": \"HOE\", \"id\": 6}, {\"name\": \"ULK\", \"id\": 7}, {\"name\": \"CJA\", \"id\": 8}], \"links\": [{\"weight\": 9016, \"source\": 0, \"target\": 7}, {\"weight\": 2107, \"source\": 0, \"target\": 1}, {\"weight\": 15134, \"source\": 0, \"target\": 4}, {\"weight\": 5121, \"source\": 0, \"target\": 2}, {\"weight\": 10838, \"source\": 0, \"target\": 3}, {\"weight\": 18475, \"source\": 0, \"target\": 8}, {\"weight\": 2084, \"source\": 0, \"target\": 5}, {\"weight\": 2716, \"source\": 0, \"target\": 6}, {\"weight\": 8918, \"source\": 1, \"target\": 7}, {\"weight\": 14993, \"source\": 1, \"target\": 4}, {\"weight\": 4323, \"source\": 1, \"target\": 2}, {\"weight\": 10637, \"source\": 1, \"target\": 3}, {\"weight\": 17900, \"source\": 1, \"target\": 8}, {\"weight\": 1943, \"source\": 1, \"target\": 5}, {\"weight\": 4129, \"source\": 1, \"target\": 6}, {\"weight\": 9411, \"source\": 2, \"target\": 7}, {\"weight\": 11792, \"source\": 2, \"target\": 4}, {\"weight\": 6869, \"source\": 2, \"target\": 3}, {\"weight\": 13601, \"source\": 2, \"target\": 8}, {\"weight\": 3519, \"source\": 2, \"target\": 5}, {\"weight\": 7577, \"source\": 2, \"target\": 6}, {\"weight\": 12984, \"source\": 3, \"target\": 7}, {\"weight\": 8958, \"source\": 3, \"target\": 4}, {\"weight\": 12746, \"source\": 3, \"target\": 8}, {\"weight\": 9300, \"source\": 3, \"target\": 5}, {\"weight\": 12928, \"source\": 3, \"target\": 6}, {\"weight\": 17296, \"source\": 4, \"target\": 7}, {\"weight\": 6686, \"source\": 4, \"target\": 8}, {\"weight\": 13891, \"source\": 4, \"target\": 5}, {\"weight\": 15141, \"source\": 4, \"target\": 6}, {\"weight\": 7641, \"source\": 5, \"target\": 7}, {\"weight\": 16802, \"source\": 5, \"target\": 8}, {\"weight\": 4540, \"source\": 5, \"target\": 6}, {\"weight\": 8417, \"source\": 6, \"target\": 7}, {\"weight\": 20313, \"source\": 6, \"target\": 8}, {\"weight\": 20878, \"source\": 7, \"target\": 8}]}", "id": 335, "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, IXU, BEY, UMD, ROW, CJL, HOE, ULK, CJA\n- Travel distances (in kilometers) between each pair of airports:\nIXB to ULK: 9016\nIXB to IXU: 2107\nIXB to ROW: 15134\nIXB to BEY: 5121\nIXB to UMD: 10838\nIXB to CJA: 18475\nIXB to CJL: 2084\nIXB to HOE: 2716\nIXU to ULK: 8918\nIXU to ROW: 14993\nIXU to BEY: 4323\nIXU to UMD: 10637\nIXU to CJA: 17900\nIXU to CJL: 1943\nIXU to HOE: 4129\nBEY to ULK: 9411\nBEY to ROW: 11792\nBEY to UMD: 6869\nBEY to CJA: 13601\nBEY to CJL: 3519\nBEY to HOE: 7577\nUMD to ULK: 12984\nUMD to ROW: 8958\nUMD to CJA: 12746\nUMD to CJL: 9300\nUMD to HOE: 12928\nROW to ULK: 17296\nROW to CJA: 6686\nROW to CJL: 13891\nROW to HOE: 15141\nCJL to ULK: 7641\nCJL to CJA: 16802\nCJL to HOE: 4540\nHOE to ULK: 8417\nHOE to CJA: 20313\nULK to CJA: 20878\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: MUC, DAV, LCR, SRY, FTU, EBH, XKH, PKC, YAM\n- Travel distances (in kilometers) between each pair of airports:\nMUC to DAV: 9953\nMUC to LCR: 10120\nMUC to YAM: 7133\nMUC to EBH: 1864\nMUC to SRY: 4596\nMUC to FTU: 9091\nMUC to XKH: 9296\nMUC to PKC: 8669\nDAV to LCR: 2316\nDAV to YAM: 4528\nDAV to EBH: 9876\nDAV to SRY: 14498\nDAV to FTU: 16125\nDAV to XKH: 17318\nDAV to PKC: 16577\nLCR to YAM: 5657\nLCR to EBH: 9819\nLCR to SRY: 14566\nLCR to FTU: 15401\nLCR to XKH: 18714\nLCR to PKC: 18234\nSRY to YAM: 11718\nSRY to EBH: 5569\nSRY to FTU: 7174\nSRY to XKH: 5889\nSRY to PKC: 8459\nFTU to YAM: 15853\nFTU to EBH: 9562\nFTU to XKH: 8242\nFTU to PKC: 14252\nEBH to YAM: 7665\nEBH to XKH: 10652\nEBH to PKC: 10462\nXKH to YAM: 14049\nXKH to PKC: 6371\nPKC to YAM: 13339\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]	{ "ground_truth": 58249, "style": "rule" }	{ "exact_answer": 58249, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"MUC\", \"id\": 0}, {\"name\": \"DAV\", \"id\": 1}, {\"name\": \"LCR\", \"id\": 2}, {\"name\": \"SRY\", \"id\": 3}, {\"name\": \"FTU\", \"id\": 4}, {\"name\": \"EBH\", \"id\": 5}, {\"name\": \"XKH\", \"id\": 6}, {\"name\": \"PKC\", \"id\": 7}, {\"name\": \"YAM\", \"id\": 8}], \"links\": [{\"weight\": 9953, \"source\": 0, \"target\": 1}, {\"weight\": 10120, \"source\": 0, \"target\": 2}, {\"weight\": 7133, \"source\": 0, \"target\": 8}, {\"weight\": 1864, \"source\": 0, \"target\": 5}, {\"weight\": 4596, \"source\": 0, \"target\": 3}, {\"weight\": 9091, \"source\": 0, \"target\": 4}, {\"weight\": 9296, \"source\": 0, \"target\": 6}, {\"weight\": 8669, \"source\": 0, \"target\": 7}, {\"weight\": 2316, \"source\": 1, \"target\": 2}, {\"weight\": 4528, \"source\": 1, \"target\": 8}, {\"weight\": 9876, \"source\": 1, \"target\": 5}, {\"weight\": 14498, \"source\": 1, \"target\": 3}, {\"weight\": 16125, \"source\": 1, \"target\": 4}, {\"weight\": 17318, \"source\": 1, \"target\": 6}, {\"weight\": 16577, \"source\": 1, \"target\": 7}, {\"weight\": 5657, \"source\": 2, \"target\": 8}, {\"weight\": 9819, \"source\": 2, \"target\": 5}, {\"weight\": 14566, \"source\": 2, \"target\": 3}, {\"weight\": 15401, \"source\": 2, \"target\": 4}, {\"weight\": 18714, \"source\": 2, \"target\": 6}, {\"weight\": 18234, \"source\": 2, \"target\": 7}, {\"weight\": 11718, \"source\": 3, \"target\": 8}, {\"weight\": 5569, \"source\": 3, \"target\": 5}, {\"weight\": 7174, \"source\": 3, \"target\": 4}, {\"weight\": 5889, \"source\": 3, \"target\": 6}, {\"weight\": 8459, \"source\": 3, \"target\": 7}, {\"weight\": 15853, \"source\": 4, \"target\": 8}, {\"weight\": 9562, \"source\": 4, \"target\": 5}, {\"weight\": 8242, \"source\": 4, \"target\": 6}, {\"weight\": 14252, \"source\": 4, \"target\": 7}, {\"weight\": 7665, \"source\": 5, \"target\": 8}, {\"weight\": 10652, \"source\": 5, \"target\": 6}, {\"weight\": 10462, \"source\": 5, \"target\": 7}, {\"weight\": 14049, \"source\": 6, \"target\": 8}, {\"weight\": 6371, \"source\": 6, \"target\": 7}, {\"weight\": 13339, \"source\": 7, \"target\": 8}]}", "id": 336, "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: MUC, DAV, LCR, SRY, FTU, EBH, XKH, PKC, YAM\n- Travel distances (in kilometers) between each pair of airports:\nMUC to DAV: 9953\nMUC to LCR: 10120\nMUC to YAM: 7133\nMUC to EBH: 1864\nMUC to SRY: 4596\nMUC to FTU: 9091\nMUC to XKH: 9296\nMUC to PKC: 8669\nDAV to LCR: 2316\nDAV to YAM: 4528\nDAV to EBH: 9876\nDAV to SRY: 14498\nDAV to FTU: 16125\nDAV to XKH: 17318\nDAV to PKC: 16577\nLCR to YAM: 5657\nLCR to EBH: 9819\nLCR to SRY: 14566\nLCR to FTU: 15401\nLCR to XKH: 18714\nLCR to PKC: 18234\nSRY to YAM: 11718\nSRY to EBH: 5569\nSRY to FTU: 7174\nSRY to XKH: 5889\nSRY to PKC: 8459\nFTU to YAM: 15853\nFTU to EBH: 9562\nFTU to XKH: 8242\nFTU to PKC: 14252\nEBH to YAM: 7665\nEBH to XKH: 10652\nEBH to PKC: 10462\nXKH to YAM: 14049\nXKH to PKC: 6371\nPKC to YAM: 13339\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: HGU, PWQ, GZP, LPI, SAT, CLJ, KEM, MCG, ADU\n- Travel distances (in kilometers) between each pair of airports:\nHGU to MCG: 13835\nHGU to SAT: 14738\nHGU to GZP: 13810\nHGU to KEM: 13993\nHGU to CLJ: 14343\nHGU to ADU: 12204\nHGU to PWQ: 10673\nHGU to LPI: 14612\nPWQ to MCG: 14430\nPWQ to SAT: 12399\nPWQ to GZP: 4865\nPWQ to KEM: 4105\nPWQ to CLJ: 4783\nPWQ to ADU: 3723\nPWQ to LPI: 4509\nGZP to MCG: 13232\nGZP to SAT: 11085\nGZP to KEM: 3328\nGZP to CLJ: 1366\nGZP to ADU: 3107\nGZP to LPI: 2969\nLPI to MCG: 10990\nLPI to SAT: 8889\nLPI to KEM: 1858\nLPI to CLJ: 1767\nLPI to ADU: 4806\nSAT to MCG: 5494\nSAT to KEM: 9518\nSAT to CLJ: 9767\nSAT to ADU: 12922\nCLJ to MCG: 11999\nCLJ to KEM: 2621\nCLJ to ADU: 3205\nKEM to MCG: 11539\nKEM to ADU: 4763\nMCG to ADU: 15046\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]	{ "ground_truth": 51341, "style": "rule" }	{ "exact_answer": 51341, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"HGU\", \"id\": 0}, {\"name\": \"PWQ\", \"id\": 1}, {\"name\": \"GZP\", \"id\": 2}, {\"name\": \"LPI\", \"id\": 3}, {\"name\": \"SAT\", \"id\": 4}, {\"name\": \"CLJ\", \"id\": 5}, {\"name\": \"KEM\", \"id\": 6}, {\"name\": \"MCG\", \"id\": 7}, {\"name\": \"ADU\", \"id\": 8}], \"links\": [{\"weight\": 13835, \"source\": 0, \"target\": 7}, {\"weight\": 14738, \"source\": 0, \"target\": 4}, {\"weight\": 13810, \"source\": 0, \"target\": 2}, {\"weight\": 13993, \"source\": 0, \"target\": 6}, {\"weight\": 14343, \"source\": 0, \"target\": 5}, {\"weight\": 12204, \"source\": 0, \"target\": 8}, {\"weight\": 10673, \"source\": 0, \"target\": 1}, {\"weight\": 14612, \"source\": 0, \"target\": 3}, {\"weight\": 14430, \"source\": 1, \"target\": 7}, {\"weight\": 12399, \"source\": 1, \"target\": 4}, {\"weight\": 4865, \"source\": 1, \"target\": 2}, {\"weight\": 4105, \"source\": 1, \"target\": 6}, {\"weight\": 4783, \"source\": 1, \"target\": 5}, {\"weight\": 3723, \"source\": 1, \"target\": 8}, {\"weight\": 4509, \"source\": 1, \"target\": 3}, {\"weight\": 13232, \"source\": 2, \"target\": 7}, {\"weight\": 11085, \"source\": 2, \"target\": 4}, {\"weight\": 3328, \"source\": 2, \"target\": 6}, {\"weight\": 1366, \"source\": 2, \"target\": 5}, {\"weight\": 3107, \"source\": 2, \"target\": 8}, {\"weight\": 2969, \"source\": 2, \"target\": 3}, {\"weight\": 10990, \"source\": 3, \"target\": 7}, {\"weight\": 8889, \"source\": 3, \"target\": 4}, {\"weight\": 1858, \"source\": 3, \"target\": 6}, {\"weight\": 1767, \"source\": 3, \"target\": 5}, {\"weight\": 4806, \"source\": 3, \"target\": 8}, {\"weight\": 5494, \"source\": 4, \"target\": 7}, {\"weight\": 9518, \"source\": 4, \"target\": 6}, {\"weight\": 9767, \"source\": 4, \"target\": 5}, {\"weight\": 12922, \"source\": 4, \"target\": 8}, {\"weight\": 11999, \"source\": 5, \"target\": 7}, {\"weight\": 2621, \"source\": 5, \"target\": 6}, {\"weight\": 3205, \"source\": 5, \"target\": 8}, {\"weight\": 11539, \"source\": 6, \"target\": 7}, {\"weight\": 4763, \"source\": 6, \"target\": 8}, {\"weight\": 15046, \"source\": 7, \"target\": 8}]}", "id": 337, "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: HGU, PWQ, GZP, LPI, SAT, CLJ, KEM, MCG, ADU\n- Travel distances (in kilometers) between each pair of airports:\nHGU to MCG: 13835\nHGU to SAT: 14738\nHGU to GZP: 13810\nHGU to KEM: 13993\nHGU to CLJ: 14343\nHGU to ADU: 12204\nHGU to PWQ: 10673\nHGU to LPI: 14612\nPWQ to MCG: 14430\nPWQ to SAT: 12399\nPWQ to GZP: 4865\nPWQ to KEM: 4105\nPWQ to CLJ: 4783\nPWQ to ADU: 3723\nPWQ to LPI: 4509\nGZP to MCG: 13232\nGZP to SAT: 11085\nGZP to KEM: 3328\nGZP to CLJ: 1366\nGZP to ADU: 3107\nGZP to LPI: 2969\nLPI to MCG: 10990\nLPI to SAT: 8889\nLPI to KEM: 1858\nLPI to CLJ: 1767\nLPI to ADU: 4806\nSAT to MCG: 5494\nSAT to KEM: 9518\nSAT to CLJ: 9767\nSAT to ADU: 12922\nCLJ to MCG: 11999\nCLJ to KEM: 2621\nCLJ to ADU: 3205\nKEM to MCG: 11539\nKEM to ADU: 4763\nMCG to ADU: 15046\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: BNN, LPS, LJA, SZG, CGP, OAJ, FEG, AUU, ZLT\n- Travel distances (in kilometers) between each pair of airports:\nBNN to SZG: 1977\nBNN to FEG: 4973\nBNN to CGP: 7946\nBNN to OAJ: 6808\nBNN to LJA: 8826\nBNN to LPS: 7846\nBNN to AUU: 15113\nBNN to ZLT: 6142\nLPS to SZG: 8777\nLPS to FEG: 12298\nLPS to CGP: 12448\nLPS to OAJ: 4138\nLPS to LJA: 15199\nLPS to AUU: 14006\nLPS to ZLT: 5202\nLJA to SZG: 7572\nLJA to FEG: 8839\nLJA to CGP: 9744\nLJA to OAJ: 11964\nLJA to AUU: 16012\nLJA to ZLT: 11753\nSZG to FEG: 4656\nSZG to CGP: 7465\nSZG to OAJ: 7379\nSZG to AUU: 15133\nSZG to ZLT: 5489\nCGP to FEG: 3461\nCGP to OAJ: 14184\nCGP to AUU: 8313\nCGP to ZLT: 12669\nOAJ to FEG: 11260\nOAJ to AUU: 17147\nOAJ to ZLT: 2534\nFEG to AUU: 11173\nFEG to ZLT: 9917\nAUU to ZLT: 18564\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]	{ "ground_truth": 56982, "style": "rule" }	{ "exact_answer": 56982, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"BNN\", \"id\": 0}, {\"name\": \"LPS\", \"id\": 1}, {\"name\": \"LJA\", \"id\": 2}, {\"name\": \"SZG\", \"id\": 3}, {\"name\": \"CGP\", \"id\": 4}, {\"name\": \"OAJ\", \"id\": 5}, {\"name\": \"FEG\", \"id\": 6}, {\"name\": \"AUU\", \"id\": 7}, {\"name\": \"ZLT\", \"id\": 8}], \"links\": [{\"weight\": 1977, \"source\": 0, \"target\": 3}, {\"weight\": 4973, \"source\": 0, \"target\": 6}, {\"weight\": 7946, \"source\": 0, \"target\": 4}, {\"weight\": 6808, \"source\": 0, \"target\": 5}, {\"weight\": 8826, \"source\": 0, \"target\": 2}, {\"weight\": 7846, \"source\": 0, \"target\": 1}, {\"weight\": 15113, \"source\": 0, \"target\": 7}, {\"weight\": 6142, \"source\": 0, \"target\": 8}, {\"weight\": 8777, \"source\": 1, \"target\": 3}, {\"weight\": 12298, \"source\": 1, \"target\": 6}, {\"weight\": 12448, \"source\": 1, \"target\": 4}, {\"weight\": 4138, \"source\": 1, \"target\": 5}, {\"weight\": 15199, \"source\": 1, \"target\": 2}, {\"weight\": 14006, \"source\": 1, \"target\": 7}, {\"weight\": 5202, \"source\": 1, \"target\": 8}, {\"weight\": 7572, \"source\": 2, \"target\": 3}, {\"weight\": 8839, \"source\": 2, \"target\": 6}, {\"weight\": 9744, \"source\": 2, \"target\": 4}, {\"weight\": 11964, \"source\": 2, \"target\": 5}, {\"weight\": 16012, \"source\": 2, \"target\": 7}, {\"weight\": 11753, \"source\": 2, \"target\": 8}, {\"weight\": 4656, \"source\": 3, \"target\": 6}, {\"weight\": 7465, \"source\": 3, \"target\": 4}, {\"weight\": 7379, \"source\": 3, \"target\": 5}, {\"weight\": 15133, \"source\": 3, \"target\": 7}, {\"weight\": 5489, \"source\": 3, \"target\": 8}, {\"weight\": 3461, \"source\": 4, \"target\": 6}, {\"weight\": 14184, \"source\": 4, \"target\": 5}, {\"weight\": 8313, \"source\": 4, \"target\": 7}, {\"weight\": 12669, \"source\": 4, \"target\": 8}, {\"weight\": 11260, \"source\": 5, \"target\": 6}, {\"weight\": 17147, \"source\": 5, \"target\": 7}, {\"weight\": 2534, \"source\": 5, \"target\": 8}, {\"weight\": 11173, \"source\": 6, \"target\": 7}, {\"weight\": 9917, \"source\": 6, \"target\": 8}, {\"weight\": 18564, \"source\": 7, \"target\": 8}]}", "id": 338, "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: BNN, LPS, LJA, SZG, CGP, OAJ, FEG, AUU, ZLT\n- Travel distances (in kilometers) between each pair of airports:\nBNN to SZG: 1977\nBNN to FEG: 4973\nBNN to CGP: 7946\nBNN to OAJ: 6808\nBNN to LJA: 8826\nBNN to LPS: 7846\nBNN to AUU: 15113\nBNN to ZLT: 6142\nLPS to SZG: 8777\nLPS to FEG: 12298\nLPS to CGP: 12448\nLPS to OAJ: 4138\nLPS to LJA: 15199\nLPS to AUU: 14006\nLPS to ZLT: 5202\nLJA to SZG: 7572\nLJA to FEG: 8839\nLJA to CGP: 9744\nLJA to OAJ: 11964\nLJA to AUU: 16012\nLJA to ZLT: 11753\nSZG to FEG: 4656\nSZG to CGP: 7465\nSZG to OAJ: 7379\nSZG to AUU: 15133\nSZG to ZLT: 5489\nCGP to FEG: 3461\nCGP to OAJ: 14184\nCGP to AUU: 8313\nCGP to ZLT: 12669\nOAJ to FEG: 11260\nOAJ to AUU: 17147\nOAJ to ZLT: 2534\nFEG to AUU: 11173\nFEG to ZLT: 9917\nAUU to ZLT: 18564\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: KEW, YYR, MOT, BQB, YCL, BHS, DND, MXP, LMM\n- Travel distances (in kilometers) between each pair of airports:\nKEW to MXP: 8172\nKEW to YYR: 3460\nKEW to LMM: 3642\nKEW to DND: 7836\nKEW to MOT: 1853\nKEW to BQB: 18025\nKEW to YCL: 3251\nKEW to BHS: 15014\nYYR to MXP: 5484\nYYR to LMM: 5638\nYYR to DND: 5780\nYYR to MOT: 3641\nYYR to BQB: 19285\nYYR to YCL: 980\nYYR to BHS: 17574\nMOT to MXP: 8091\nMOT to LMM: 2856\nMOT to DND: 8088\nMOT to BQB: 17487\nMOT to YCL: 3455\nMOT to BHS: 14359\nBQB to MXP: 13949\nBQB to LMM: 16647\nBQB to DND: 15251\nBQB to YCL: 19726\nBQB to BHS: 3631\nYCL to MXP: 5927\nYCL to LMM: 5386\nYCL to DND: 6223\nYCL to BHS: 17388\nBHS to MXP: 16747\nBHS to LMM: 13519\nBHS to DND: 17680\nDND to MXP: 1603\nDND to LMM: 10014\nMXP to LMM: 10314\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]	{ "ground_truth": 47422, "style": "rule" }	{ "exact_answer": 47422, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"KEW\", \"id\": 0}, {\"name\": \"YYR\", \"id\": 1}, {\"name\": \"MOT\", \"id\": 2}, {\"name\": \"BQB\", \"id\": 3}, {\"name\": \"YCL\", \"id\": 4}, {\"name\": \"BHS\", \"id\": 5}, {\"name\": \"DND\", \"id\": 6}, {\"name\": \"MXP\", \"id\": 7}, {\"name\": \"LMM\", \"id\": 8}], \"links\": [{\"weight\": 8172, \"source\": 0, \"target\": 7}, {\"weight\": 3460, \"source\": 0, \"target\": 1}, {\"weight\": 3642, \"source\": 0, \"target\": 8}, {\"weight\": 7836, \"source\": 0, \"target\": 6}, {\"weight\": 1853, \"source\": 0, \"target\": 2}, {\"weight\": 18025, \"source\": 0, \"target\": 3}, {\"weight\": 3251, \"source\": 0, \"target\": 4}, {\"weight\": 15014, \"source\": 0, \"target\": 5}, {\"weight\": 5484, \"source\": 1, \"target\": 7}, {\"weight\": 5638, \"source\": 1, \"target\": 8}, {\"weight\": 5780, \"source\": 1, \"target\": 6}, {\"weight\": 3641, \"source\": 1, \"target\": 2}, {\"weight\": 19285, \"source\": 1, \"target\": 3}, {\"weight\": 980, \"source\": 1, \"target\": 4}, {\"weight\": 17574, \"source\": 1, \"target\": 5}, {\"weight\": 8091, \"source\": 2, \"target\": 7}, {\"weight\": 2856, \"source\": 2, \"target\": 8}, {\"weight\": 8088, \"source\": 2, \"target\": 6}, {\"weight\": 17487, \"source\": 2, \"target\": 3}, {\"weight\": 3455, \"source\": 2, \"target\": 4}, {\"weight\": 14359, \"source\": 2, \"target\": 5}, {\"weight\": 13949, \"source\": 3, \"target\": 7}, {\"weight\": 16647, \"source\": 3, \"target\": 8}, {\"weight\": 15251, \"source\": 3, \"target\": 6}, {\"weight\": 19726, \"source\": 3, \"target\": 4}, {\"weight\": 3631, \"source\": 3, \"target\": 5}, {\"weight\": 5927, \"source\": 4, \"target\": 7}, {\"weight\": 5386, \"source\": 4, \"target\": 8}, {\"weight\": 6223, \"source\": 4, \"target\": 6}, {\"weight\": 17388, \"source\": 4, \"target\": 5}, {\"weight\": 16747, \"source\": 5, \"target\": 7}, {\"weight\": 13519, \"source\": 5, \"target\": 8}, {\"weight\": 17680, \"source\": 5, \"target\": 6}, {\"weight\": 1603, \"source\": 6, \"target\": 7}, {\"weight\": 10014, \"source\": 6, \"target\": 8}, {\"weight\": 10314, \"source\": 7, \"target\": 8}]}", "id": 339, "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: KEW, YYR, MOT, BQB, YCL, BHS, DND, MXP, LMM\n- Travel distances (in kilometers) between each pair of airports:\nKEW to MXP: 8172\nKEW to YYR: 3460\nKEW to LMM: 3642\nKEW to DND: 7836\nKEW to MOT: 1853\nKEW to BQB: 18025\nKEW to YCL: 3251\nKEW to BHS: 15014\nYYR to MXP: 5484\nYYR to LMM: 5638\nYYR to DND: 5780\nYYR to MOT: 3641\nYYR to BQB: 19285\nYYR to YCL: 980\nYYR to BHS: 17574\nMOT to MXP: 8091\nMOT to LMM: 2856\nMOT to DND: 8088\nMOT to BQB: 17487\nMOT to YCL: 3455\nMOT to BHS: 14359\nBQB to MXP: 13949\nBQB to LMM: 16647\nBQB to DND: 15251\nBQB to YCL: 19726\nBQB to BHS: 3631\nYCL to MXP: 5927\nYCL to LMM: 5386\nYCL to DND: 6223\nYCL to BHS: 17388\nBHS to MXP: 16747\nBHS to LMM: 13519\nBHS to DND: 17680\nDND to MXP: 1603\nDND to LMM: 10014\nMXP to LMM: 10314\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }