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TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SOJ, MHG, ASJ, HIB, PYH, YYZ, SPD, POZ, RVK\n- Travel distances (in kilometers) between each pair of airports:\nSOJ to SPD: 8122\nSOJ to POZ: 2158\nSOJ to YYZ: 6656\nSOJ to HIB: 8024\nSOJ to ASJ: 10292\nSOJ to PYH: 10294\nSOJ to MHG: 2511\nSOJ to RVK: 727\nMHG to SPD: 8022\nMHG to POZ: 1267\nMHG to YYZ: 7045\nMHG to HIB: 8020\nMHG to ASJ: 10450\nMHG to PYH: 9520\nMHG to RVK: 1852\nASJ to SPD: 5725\nASJ to POZ: 9875\nASJ to YYZ: 11651\nASJ to HIB: 11184\nASJ to PYH: 16031\nASJ to RVK: 9980\nHIB to SPD: 14521\nHIB to POZ: 7844\nHIB to YYZ: 1368\nHIB to PYH: 5416\nHIB to RVK: 7325\nPYH to SPD: 16441\nPYH to POZ: 9268\nPYH to YYZ: 4442\nPYH to RVK: 9612\nYYZ to SPD: 13349\nYYZ to POZ: 6716\nYYZ to RVK: 5957\nSPD to POZ: 7304\nSPD to RVK: 7902\nPOZ to RVK: 1479\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 43834, "style": "rule" }
{ "exact_answer": 43834, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"SOJ\", \"id\": 0}, {\"name\": \"MHG\", \"id\": 1}, {\"name\": \"ASJ\", \"id\": 2}, {\"name\": \"HIB\", \"id\": 3}, {\"name\": \"PYH\", \"id\": 4}, {\"name\": \"YYZ\", \"id\": 5}, {\"name\": \"SPD\", \"id\": 6}, {\"name\": \"POZ\", \"id\": 7}, {\"name\": \"RVK\", \"id\": 8}], \"links\": [{\"weight\": 8122, \"source\": 0, \"target\": 6}, {\"weight\": 2158, \"source\": 0, \"target\": 7}, {\"weight\": 6656, \"source\": 0, \"target\": 5}, {\"weight\": 8024, \"source\": 0, \"target\": 3}, {\"weight\": 10292, \"source\": 0, \"target\": 2}, {\"weight\": 10294, \"source\": 0, \"target\": 4}, {\"weight\": 2511, \"source\": 0, \"target\": 1}, {\"weight\": 727, \"source\": 0, \"target\": 8}, {\"weight\": 8022, \"source\": 1, \"target\": 6}, {\"weight\": 1267, \"source\": 1, \"target\": 7}, {\"weight\": 7045, \"source\": 1, \"target\": 5}, {\"weight\": 8020, \"source\": 1, \"target\": 3}, {\"weight\": 10450, \"source\": 1, \"target\": 2}, {\"weight\": 9520, \"source\": 1, \"target\": 4}, {\"weight\": 1852, \"source\": 1, \"target\": 8}, {\"weight\": 5725, \"source\": 2, \"target\": 6}, {\"weight\": 9875, \"source\": 2, \"target\": 7}, {\"weight\": 11651, \"source\": 2, \"target\": 5}, {\"weight\": 11184, \"source\": 2, \"target\": 3}, {\"weight\": 16031, \"source\": 2, \"target\": 4}, {\"weight\": 9980, \"source\": 2, \"target\": 8}, {\"weight\": 14521, \"source\": 3, \"target\": 6}, {\"weight\": 7844, \"source\": 3, \"target\": 7}, {\"weight\": 1368, \"source\": 3, \"target\": 5}, {\"weight\": 5416, \"source\": 3, \"target\": 4}, {\"weight\": 7325, \"source\": 3, \"target\": 8}, {\"weight\": 16441, \"source\": 4, \"target\": 6}, {\"weight\": 9268, \"source\": 4, \"target\": 7}, {\"weight\": 4442, \"source\": 4, \"target\": 5}, {\"weight\": 9612, \"source\": 4, \"target\": 8}, {\"weight\": 13349, \"source\": 5, \"target\": 6}, {\"weight\": 6716, \"source\": 5, \"target\": 7}, {\"weight\": 5957, \"source\": 5, \"target\": 8}, {\"weight\": 7304, \"source\": 6, \"target\": 7}, {\"weight\": 7902, \"source\": 6, \"target\": 8}, {\"weight\": 1479, \"source\": 7, \"target\": 8}]}", "id": 1300, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SOJ, MHG, ASJ, HIB, PYH, YYZ, SPD, POZ, RVK\n- Travel distances (in kilometers) between each pair of airports:\nSOJ to SPD: 8122\nSOJ to POZ: 2158\nSOJ to YYZ: 6656\nSOJ to HIB: 8024\nSOJ to ASJ: 10292\nSOJ to PYH: 10294\nSOJ to MHG: 2511\nSOJ to RVK: 727\nMHG to SPD: 8022\nMHG to POZ: 1267\nMHG to YYZ: 7045\nMHG to HIB: 8020\nMHG to ASJ: 10450\nMHG to PYH: 9520\nMHG to RVK: 1852\nASJ to SPD: 5725\nASJ to POZ: 9875\nASJ to YYZ: 11651\nASJ to HIB: 11184\nASJ to PYH: 16031\nASJ to RVK: 9980\nHIB to SPD: 14521\nHIB to POZ: 7844\nHIB to YYZ: 1368\nHIB to PYH: 5416\nHIB to RVK: 7325\nPYH to SPD: 16441\nPYH to POZ: 9268\nPYH to YYZ: 4442\nPYH to RVK: 9612\nYYZ to SPD: 13349\nYYZ to POZ: 6716\nYYZ to RVK: 5957\nSPD to POZ: 7304\nSPD to RVK: 7902\nPOZ to RVK: 1479\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: YBG, AES, IZO, BBK, HBX, KSE, PRI, POG, AUU\n- Travel distances (in kilometers) between each pair of airports:\nYBG to KSE: 12107\nYBG to AES: 6407\nYBG to BBK: 13672\nYBG to POG: 11341\nYBG to PRI: 13517\nYBG to IZO: 12243\nYBG to AUU: 17651\nYBG to HBX: 12933\nAES to KSE: 7649\nAES to BBK: 10503\nAES to POG: 8119\nAES to PRI: 8828\nAES to IZO: 9801\nAES to AUU: 15097\nAES to HBX: 7597\nIZO to KSE: 12514\nIZO to BBK: 15024\nIZO to POG: 14964\nIZO to PRI: 10508\nIZO to AUU: 7375\nIZO to HBX: 7777\nBBK to KSE: 3918\nBBK to POG: 4065\nBBK to PRI: 4775\nBBK to AUU: 13301\nBBK to HBX: 8145\nHBX to KSE: 5787\nHBX to POG: 8237\nHBX to PRI: 4122\nHBX to AUU: 9157\nKSE to POG: 3222\nKSE to PRI: 2921\nKSE to AUU: 13779\nPRI to POG: 5519\nPRI to AUU: 11373\nPOG to AUU: 15838\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 58327, "style": "rule" }
{ "exact_answer": 58327, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"YBG\", \"id\": 0}, {\"name\": \"AES\", \"id\": 1}, {\"name\": \"IZO\", \"id\": 2}, {\"name\": \"BBK\", \"id\": 3}, {\"name\": \"HBX\", \"id\": 4}, {\"name\": \"KSE\", \"id\": 5}, {\"name\": \"PRI\", \"id\": 6}, {\"name\": \"POG\", \"id\": 7}, {\"name\": \"AUU\", \"id\": 8}], \"links\": [{\"weight\": 12107, \"source\": 0, \"target\": 5}, {\"weight\": 6407, \"source\": 0, \"target\": 1}, {\"weight\": 13672, \"source\": 0, \"target\": 3}, {\"weight\": 11341, \"source\": 0, \"target\": 7}, {\"weight\": 13517, \"source\": 0, \"target\": 6}, {\"weight\": 12243, \"source\": 0, \"target\": 2}, {\"weight\": 17651, \"source\": 0, \"target\": 8}, {\"weight\": 12933, \"source\": 0, \"target\": 4}, {\"weight\": 7649, \"source\": 1, \"target\": 5}, {\"weight\": 10503, \"source\": 1, \"target\": 3}, {\"weight\": 8119, \"source\": 1, \"target\": 7}, {\"weight\": 8828, \"source\": 1, \"target\": 6}, {\"weight\": 9801, \"source\": 1, \"target\": 2}, {\"weight\": 15097, \"source\": 1, \"target\": 8}, {\"weight\": 7597, \"source\": 1, \"target\": 4}, {\"weight\": 12514, \"source\": 2, \"target\": 5}, {\"weight\": 15024, \"source\": 2, \"target\": 3}, {\"weight\": 14964, \"source\": 2, \"target\": 7}, {\"weight\": 10508, \"source\": 2, \"target\": 6}, {\"weight\": 7375, \"source\": 2, \"target\": 8}, {\"weight\": 7777, \"source\": 2, \"target\": 4}, {\"weight\": 3918, \"source\": 3, \"target\": 5}, {\"weight\": 4065, \"source\": 3, \"target\": 7}, {\"weight\": 4775, \"source\": 3, \"target\": 6}, {\"weight\": 13301, \"source\": 3, \"target\": 8}, {\"weight\": 8145, \"source\": 3, \"target\": 4}, {\"weight\": 5787, \"source\": 4, \"target\": 5}, {\"weight\": 8237, \"source\": 4, \"target\": 7}, {\"weight\": 4122, \"source\": 4, \"target\": 6}, {\"weight\": 9157, \"source\": 4, \"target\": 8}, {\"weight\": 3222, \"source\": 5, \"target\": 7}, {\"weight\": 2921, \"source\": 5, \"target\": 6}, {\"weight\": 13779, \"source\": 5, \"target\": 8}, {\"weight\": 5519, \"source\": 6, \"target\": 7}, {\"weight\": 11373, \"source\": 6, \"target\": 8}, {\"weight\": 15838, \"source\": 7, \"target\": 8}]}", "id": 1301, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: YBG, AES, IZO, BBK, HBX, KSE, PRI, POG, AUU\n- Travel distances (in kilometers) between each pair of airports:\nYBG to KSE: 12107\nYBG to AES: 6407\nYBG to BBK: 13672\nYBG to POG: 11341\nYBG to PRI: 13517\nYBG to IZO: 12243\nYBG to AUU: 17651\nYBG to HBX: 12933\nAES to KSE: 7649\nAES to BBK: 10503\nAES to POG: 8119\nAES to PRI: 8828\nAES to IZO: 9801\nAES to AUU: 15097\nAES to HBX: 7597\nIZO to KSE: 12514\nIZO to BBK: 15024\nIZO to POG: 14964\nIZO to PRI: 10508\nIZO to AUU: 7375\nIZO to HBX: 7777\nBBK to KSE: 3918\nBBK to POG: 4065\nBBK to PRI: 4775\nBBK to AUU: 13301\nBBK to HBX: 8145\nHBX to KSE: 5787\nHBX to POG: 8237\nHBX to PRI: 4122\nHBX to AUU: 9157\nKSE to POG: 3222\nKSE to PRI: 2921\nKSE to AUU: 13779\nPRI to POG: 5519\nPRI to AUU: 11373\nPOG to AUU: 15838\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: URE, MSR, BLR, CXB, PLM, YEK, LUZ, HLA, MYG\n- Travel distances (in kilometers) between each pair of airports:\nURE to CXB: 7122\nURE to YEK: 9591\nURE to BLR: 7055\nURE to PLM: 9920\nURE to LUZ: 1503\nURE to HLA: 10753\nURE to MSR: 3370\nURE to MYG: 9111\nMSR to CXB: 6724\nMSR to YEK: 11196\nMSR to BLR: 6087\nMSR to PLM: 9480\nMSR to LUZ: 3235\nMSR to HLA: 9259\nMSR to MYG: 11126\nBLR to CXB: 2118\nBLR to YEK: 15651\nBLR to PLM: 3586\nBLR to LUZ: 7418\nBLR to HLA: 7726\nBLR to MYG: 15581\nCXB to YEK: 15298\nCXB to PLM: 3661\nCXB to LUZ: 7818\nCXB to HLA: 9801\nCXB to MYG: 15797\nPLM to YEK: 16237\nPLM to LUZ: 10645\nPLM to HLA: 9574\nPLM to MYG: 18140\nYEK to LUZ: 9343\nYEK to HLA: 17225\nYEK to MYG: 5055\nLUZ to HLA: 10616\nLUZ to MYG: 9273\nHLA to MYG: 15413\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 56124, "style": "rule" }
{ "exact_answer": 56124, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"URE\", \"id\": 0}, {\"name\": \"MSR\", \"id\": 1}, {\"name\": \"BLR\", \"id\": 2}, {\"name\": \"CXB\", \"id\": 3}, {\"name\": \"PLM\", \"id\": 4}, {\"name\": \"YEK\", \"id\": 5}, {\"name\": \"LUZ\", \"id\": 6}, {\"name\": \"HLA\", \"id\": 7}, {\"name\": \"MYG\", \"id\": 8}], \"links\": [{\"weight\": 7122, \"source\": 0, \"target\": 3}, {\"weight\": 9591, \"source\": 0, \"target\": 5}, {\"weight\": 7055, \"source\": 0, \"target\": 2}, {\"weight\": 9920, \"source\": 0, \"target\": 4}, {\"weight\": 1503, \"source\": 0, \"target\": 6}, {\"weight\": 10753, \"source\": 0, \"target\": 7}, {\"weight\": 3370, \"source\": 0, \"target\": 1}, {\"weight\": 9111, \"source\": 0, \"target\": 8}, {\"weight\": 6724, \"source\": 1, \"target\": 3}, {\"weight\": 11196, \"source\": 1, \"target\": 5}, {\"weight\": 6087, \"source\": 1, \"target\": 2}, {\"weight\": 9480, \"source\": 1, \"target\": 4}, {\"weight\": 3235, \"source\": 1, \"target\": 6}, {\"weight\": 9259, \"source\": 1, \"target\": 7}, {\"weight\": 11126, \"source\": 1, \"target\": 8}, {\"weight\": 2118, \"source\": 2, \"target\": 3}, {\"weight\": 15651, \"source\": 2, \"target\": 5}, {\"weight\": 3586, \"source\": 2, \"target\": 4}, {\"weight\": 7418, \"source\": 2, \"target\": 6}, {\"weight\": 7726, \"source\": 2, \"target\": 7}, {\"weight\": 15581, \"source\": 2, \"target\": 8}, {\"weight\": 15298, \"source\": 3, \"target\": 5}, {\"weight\": 3661, \"source\": 3, \"target\": 4}, {\"weight\": 7818, \"source\": 3, \"target\": 6}, {\"weight\": 9801, \"source\": 3, \"target\": 7}, {\"weight\": 15797, \"source\": 3, \"target\": 8}, {\"weight\": 16237, \"source\": 4, \"target\": 5}, {\"weight\": 10645, \"source\": 4, \"target\": 6}, {\"weight\": 9574, \"source\": 4, \"target\": 7}, {\"weight\": 18140, \"source\": 4, \"target\": 8}, {\"weight\": 9343, \"source\": 5, \"target\": 6}, {\"weight\": 17225, \"source\": 5, \"target\": 7}, {\"weight\": 5055, \"source\": 5, \"target\": 8}, {\"weight\": 10616, \"source\": 6, \"target\": 7}, {\"weight\": 9273, \"source\": 6, \"target\": 8}, {\"weight\": 15413, \"source\": 7, \"target\": 8}]}", "id": 1302, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: URE, MSR, BLR, CXB, PLM, YEK, LUZ, HLA, MYG\n- Travel distances (in kilometers) between each pair of airports:\nURE to CXB: 7122\nURE to YEK: 9591\nURE to BLR: 7055\nURE to PLM: 9920\nURE to LUZ: 1503\nURE to HLA: 10753\nURE to MSR: 3370\nURE to MYG: 9111\nMSR to CXB: 6724\nMSR to YEK: 11196\nMSR to BLR: 6087\nMSR to PLM: 9480\nMSR to LUZ: 3235\nMSR to HLA: 9259\nMSR to MYG: 11126\nBLR to CXB: 2118\nBLR to YEK: 15651\nBLR to PLM: 3586\nBLR to LUZ: 7418\nBLR to HLA: 7726\nBLR to MYG: 15581\nCXB to YEK: 15298\nCXB to PLM: 3661\nCXB to LUZ: 7818\nCXB to HLA: 9801\nCXB to MYG: 15797\nPLM to YEK: 16237\nPLM to LUZ: 10645\nPLM to HLA: 9574\nPLM to MYG: 18140\nYEK to LUZ: 9343\nYEK to HLA: 17225\nYEK to MYG: 5055\nLUZ to HLA: 10616\nLUZ to MYG: 9273\nHLA to MYG: 15413\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: GOH, ZIH, SMA, BJF, FNA, WMN, BMI, RIB, MIR\n- Travel distances (in kilometers) between each pair of airports:\nGOH to FNA: 8109\nGOH to ZIH: 9140\nGOH to RIB: 12826\nGOH to BMI: 6415\nGOH to MIR: 5255\nGOH to WMN: 12498\nGOH to SMA: 5925\nGOH to BJF: 4239\nZIH to FNA: 10551\nZIH to RIB: 6491\nZIH to BMI: 2923\nZIH to MIR: 10782\nZIH to WMN: 17772\nZIH to SMA: 7928\nZIH to BJF: 10579\nSMA to FNA: 3901\nSMA to RIB: 11067\nSMA to BMI: 5454\nSMA to MIR: 3259\nSMA to WMN: 10994\nSMA to BJF: 5280\nBJF to FNA: 7546\nBJF to RIB: 13883\nBJF to BMI: 7854\nBJF to MIR: 4196\nBJF to WMN: 10876\nFNA to RIB: 9327\nFNA to BMI: 8263\nFNA to MIR: 4604\nFNA to WMN: 7847\nWMN to RIB: 12932\nWMN to BMI: 15625\nWMN to MIR: 8078\nBMI to RIB: 7533\nBMI to MIR: 8251\nRIB to MIR: 11391\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 52203, "style": "rule" }
{ "exact_answer": 52203, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"GOH\", \"id\": 0}, {\"name\": \"ZIH\", \"id\": 1}, {\"name\": \"SMA\", \"id\": 2}, {\"name\": \"BJF\", \"id\": 3}, {\"name\": \"FNA\", \"id\": 4}, {\"name\": \"WMN\", \"id\": 5}, {\"name\": \"BMI\", \"id\": 6}, {\"name\": \"RIB\", \"id\": 7}, {\"name\": \"MIR\", \"id\": 8}], \"links\": [{\"weight\": 8109, \"source\": 0, \"target\": 4}, {\"weight\": 9140, \"source\": 0, \"target\": 1}, {\"weight\": 12826, \"source\": 0, \"target\": 7}, {\"weight\": 6415, \"source\": 0, \"target\": 6}, {\"weight\": 5255, \"source\": 0, \"target\": 8}, {\"weight\": 12498, \"source\": 0, \"target\": 5}, {\"weight\": 5925, \"source\": 0, \"target\": 2}, {\"weight\": 4239, \"source\": 0, \"target\": 3}, {\"weight\": 10551, \"source\": 1, \"target\": 4}, {\"weight\": 6491, \"source\": 1, \"target\": 7}, {\"weight\": 2923, \"source\": 1, \"target\": 6}, {\"weight\": 10782, \"source\": 1, \"target\": 8}, {\"weight\": 17772, \"source\": 1, \"target\": 5}, {\"weight\": 7928, \"source\": 1, \"target\": 2}, {\"weight\": 10579, \"source\": 1, \"target\": 3}, {\"weight\": 3901, \"source\": 2, \"target\": 4}, {\"weight\": 11067, \"source\": 2, \"target\": 7}, {\"weight\": 5454, \"source\": 2, \"target\": 6}, {\"weight\": 3259, \"source\": 2, \"target\": 8}, {\"weight\": 10994, \"source\": 2, \"target\": 5}, {\"weight\": 5280, \"source\": 2, \"target\": 3}, {\"weight\": 7546, \"source\": 3, \"target\": 4}, {\"weight\": 13883, \"source\": 3, \"target\": 7}, {\"weight\": 7854, \"source\": 3, \"target\": 6}, {\"weight\": 4196, \"source\": 3, \"target\": 8}, {\"weight\": 10876, \"source\": 3, \"target\": 5}, {\"weight\": 9327, \"source\": 4, \"target\": 7}, {\"weight\": 8263, \"source\": 4, \"target\": 6}, {\"weight\": 4604, \"source\": 4, \"target\": 8}, {\"weight\": 7847, \"source\": 4, \"target\": 5}, {\"weight\": 12932, \"source\": 5, \"target\": 7}, {\"weight\": 15625, \"source\": 5, \"target\": 6}, {\"weight\": 8078, \"source\": 5, \"target\": 8}, {\"weight\": 7533, \"source\": 6, \"target\": 7}, {\"weight\": 8251, \"source\": 6, \"target\": 8}, {\"weight\": 11391, \"source\": 7, \"target\": 8}]}", "id": 1303, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: GOH, ZIH, SMA, BJF, FNA, WMN, BMI, RIB, MIR\n- Travel distances (in kilometers) between each pair of airports:\nGOH to FNA: 8109\nGOH to ZIH: 9140\nGOH to RIB: 12826\nGOH to BMI: 6415\nGOH to MIR: 5255\nGOH to WMN: 12498\nGOH to SMA: 5925\nGOH to BJF: 4239\nZIH to FNA: 10551\nZIH to RIB: 6491\nZIH to BMI: 2923\nZIH to MIR: 10782\nZIH to WMN: 17772\nZIH to SMA: 7928\nZIH to BJF: 10579\nSMA to FNA: 3901\nSMA to RIB: 11067\nSMA to BMI: 5454\nSMA to MIR: 3259\nSMA to WMN: 10994\nSMA to BJF: 5280\nBJF to FNA: 7546\nBJF to RIB: 13883\nBJF to BMI: 7854\nBJF to MIR: 4196\nBJF to WMN: 10876\nFNA to RIB: 9327\nFNA to BMI: 8263\nFNA to MIR: 4604\nFNA to WMN: 7847\nWMN to RIB: 12932\nWMN to BMI: 15625\nWMN to MIR: 8078\nBMI to RIB: 7533\nBMI to MIR: 8251\nRIB to MIR: 11391\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: JOL, TBS, MBJ, OHH, SYZ, SFT, JKR, ACX, ASB\n- Travel distances (in kilometers) between each pair of airports:\nJOL to TBS: 8880\nJOL to MBJ: 16665\nJOL to ASB: 7904\nJOL to SYZ: 8456\nJOL to ACX: 3141\nJOL to SFT: 10930\nJOL to OHH: 5746\nJOL to JKR: 5186\nTBS to MBJ: 11117\nTBS to ASB: 1214\nTBS to SYZ: 1985\nTBS to ACX: 6282\nTBS to SFT: 3301\nTBS to OHH: 7711\nTBS to JKR: 4178\nMBJ to ASB: 12309\nMBJ to SYZ: 12493\nMBJ to ACX: 15334\nMBJ to SFT: 9359\nMBJ to OHH: 14803\nMBJ to JKR: 15174\nOHH to ASB: 7349\nOHH to SYZ: 7953\nOHH to ACX: 4497\nOHH to SFT: 8436\nOHH to JKR: 5792\nSYZ to ASB: 1993\nSYZ to ACX: 5966\nSYZ to SFT: 5196\nSYZ to JKR: 3646\nSFT to ASB: 4362\nSFT to ACX: 8241\nSFT to JKR: 7095\nJKR to ASB: 2964\nJKR to ACX: 2566\nACX to ASB: 5284\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 45769, "style": "rule" }
{ "exact_answer": 45769, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"JOL\", \"id\": 0}, {\"name\": \"TBS\", \"id\": 1}, {\"name\": \"MBJ\", \"id\": 2}, {\"name\": \"OHH\", \"id\": 3}, {\"name\": \"SYZ\", \"id\": 4}, {\"name\": \"SFT\", \"id\": 5}, {\"name\": \"JKR\", \"id\": 6}, {\"name\": \"ACX\", \"id\": 7}, {\"name\": \"ASB\", \"id\": 8}], \"links\": [{\"weight\": 8880, \"source\": 0, \"target\": 1}, {\"weight\": 16665, \"source\": 0, \"target\": 2}, {\"weight\": 7904, \"source\": 0, \"target\": 8}, {\"weight\": 8456, \"source\": 0, \"target\": 4}, {\"weight\": 3141, \"source\": 0, \"target\": 7}, {\"weight\": 10930, \"source\": 0, \"target\": 5}, {\"weight\": 5746, \"source\": 0, \"target\": 3}, {\"weight\": 5186, \"source\": 0, \"target\": 6}, {\"weight\": 11117, \"source\": 1, \"target\": 2}, {\"weight\": 1214, \"source\": 1, \"target\": 8}, {\"weight\": 1985, \"source\": 1, \"target\": 4}, {\"weight\": 6282, \"source\": 1, \"target\": 7}, {\"weight\": 3301, \"source\": 1, \"target\": 5}, {\"weight\": 7711, \"source\": 1, \"target\": 3}, {\"weight\": 4178, \"source\": 1, \"target\": 6}, {\"weight\": 12309, \"source\": 2, \"target\": 8}, {\"weight\": 12493, \"source\": 2, \"target\": 4}, {\"weight\": 15334, \"source\": 2, \"target\": 7}, {\"weight\": 9359, \"source\": 2, \"target\": 5}, {\"weight\": 14803, \"source\": 2, \"target\": 3}, {\"weight\": 15174, \"source\": 2, \"target\": 6}, {\"weight\": 7349, \"source\": 3, \"target\": 8}, {\"weight\": 7953, \"source\": 3, \"target\": 4}, {\"weight\": 4497, \"source\": 3, \"target\": 7}, {\"weight\": 8436, \"source\": 3, \"target\": 5}, {\"weight\": 5792, \"source\": 3, \"target\": 6}, {\"weight\": 1993, \"source\": 4, \"target\": 8}, {\"weight\": 5966, \"source\": 4, \"target\": 7}, {\"weight\": 5196, \"source\": 4, \"target\": 5}, {\"weight\": 3646, \"source\": 4, \"target\": 6}, {\"weight\": 4362, \"source\": 5, \"target\": 8}, {\"weight\": 8241, \"source\": 5, \"target\": 7}, {\"weight\": 7095, \"source\": 5, \"target\": 6}, {\"weight\": 2964, \"source\": 6, \"target\": 8}, {\"weight\": 2566, \"source\": 6, \"target\": 7}, {\"weight\": 5284, \"source\": 7, \"target\": 8}]}", "id": 1304, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: JOL, TBS, MBJ, OHH, SYZ, SFT, JKR, ACX, ASB\n- Travel distances (in kilometers) between each pair of airports:\nJOL to TBS: 8880\nJOL to MBJ: 16665\nJOL to ASB: 7904\nJOL to SYZ: 8456\nJOL to ACX: 3141\nJOL to SFT: 10930\nJOL to OHH: 5746\nJOL to JKR: 5186\nTBS to MBJ: 11117\nTBS to ASB: 1214\nTBS to SYZ: 1985\nTBS to ACX: 6282\nTBS to SFT: 3301\nTBS to OHH: 7711\nTBS to JKR: 4178\nMBJ to ASB: 12309\nMBJ to SYZ: 12493\nMBJ to ACX: 15334\nMBJ to SFT: 9359\nMBJ to OHH: 14803\nMBJ to JKR: 15174\nOHH to ASB: 7349\nOHH to SYZ: 7953\nOHH to ACX: 4497\nOHH to SFT: 8436\nOHH to JKR: 5792\nSYZ to ASB: 1993\nSYZ to ACX: 5966\nSYZ to SFT: 5196\nSYZ to JKR: 3646\nSFT to ASB: 4362\nSFT to ACX: 8241\nSFT to JKR: 7095\nJKR to ASB: 2964\nJKR to ACX: 2566\nACX to ASB: 5284\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PJA, YWJ, ALH, DUD, GPA, YUM, TIR, MJV, NSK\n- Travel distances (in kilometers) between each pair of airports:\nPJA to YUM: 9974\nPJA to TIR: 7759\nPJA to MJV: 3691\nPJA to GPA: 3758\nPJA to YWJ: 9499\nPJA to DUD: 18242\nPJA to ALH: 14401\nPJA to NSK: 3980\nYWJ to YUM: 4023\nYWJ to TIR: 15825\nYWJ to MJV: 9812\nYWJ to GPA: 10543\nYWJ to DUD: 14785\nYWJ to ALH: 18250\nYWJ to NSK: 12015\nALH to YUM: 15896\nALH to TIR: 7972\nALH to MJV: 15415\nALH to GPA: 14390\nALH to DUD: 5816\nALH to NSK: 11960\nDUD to YUM: 11929\nDUD to TIR: 12448\nDUD to MJV: 20382\nDUD to GPA: 18931\nDUD to NSK: 15021\nGPA to YUM: 10979\nGPA to TIR: 7679\nGPA to MJV: 3470\nGPA to NSK: 6211\nYUM to TIR: 15640\nYUM to MJV: 9696\nYUM to NSK: 12490\nTIR to MJV: 8972\nTIR to NSK: 6291\nMJV to NSK: 6200\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 57051, "style": "rule" }
{ "exact_answer": 57051, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"PJA\", \"id\": 0}, {\"name\": \"YWJ\", \"id\": 1}, {\"name\": \"ALH\", \"id\": 2}, {\"name\": \"DUD\", \"id\": 3}, {\"name\": \"GPA\", \"id\": 4}, {\"name\": \"YUM\", \"id\": 5}, {\"name\": \"TIR\", \"id\": 6}, {\"name\": \"MJV\", \"id\": 7}, {\"name\": \"NSK\", \"id\": 8}], \"links\": [{\"weight\": 9974, \"source\": 0, \"target\": 5}, {\"weight\": 7759, \"source\": 0, \"target\": 6}, {\"weight\": 3691, \"source\": 0, \"target\": 7}, {\"weight\": 3758, \"source\": 0, \"target\": 4}, {\"weight\": 9499, \"source\": 0, \"target\": 1}, {\"weight\": 18242, \"source\": 0, \"target\": 3}, {\"weight\": 14401, \"source\": 0, \"target\": 2}, {\"weight\": 3980, \"source\": 0, \"target\": 8}, {\"weight\": 4023, \"source\": 1, \"target\": 5}, {\"weight\": 15825, \"source\": 1, \"target\": 6}, {\"weight\": 9812, \"source\": 1, \"target\": 7}, {\"weight\": 10543, \"source\": 1, \"target\": 4}, {\"weight\": 14785, \"source\": 1, \"target\": 3}, {\"weight\": 18250, \"source\": 1, \"target\": 2}, {\"weight\": 12015, \"source\": 1, \"target\": 8}, {\"weight\": 15896, \"source\": 2, \"target\": 5}, {\"weight\": 7972, \"source\": 2, \"target\": 6}, {\"weight\": 15415, \"source\": 2, \"target\": 7}, {\"weight\": 14390, \"source\": 2, \"target\": 4}, {\"weight\": 5816, \"source\": 2, \"target\": 3}, {\"weight\": 11960, \"source\": 2, \"target\": 8}, {\"weight\": 11929, \"source\": 3, \"target\": 5}, {\"weight\": 12448, \"source\": 3, \"target\": 6}, {\"weight\": 20382, \"source\": 3, \"target\": 7}, {\"weight\": 18931, \"source\": 3, \"target\": 4}, {\"weight\": 15021, \"source\": 3, \"target\": 8}, {\"weight\": 10979, \"source\": 4, \"target\": 5}, {\"weight\": 7679, \"source\": 4, \"target\": 6}, {\"weight\": 3470, \"source\": 4, \"target\": 7}, {\"weight\": 6211, \"source\": 4, \"target\": 8}, {\"weight\": 15640, \"source\": 5, \"target\": 6}, {\"weight\": 9696, \"source\": 5, \"target\": 7}, {\"weight\": 12490, \"source\": 5, \"target\": 8}, {\"weight\": 8972, \"source\": 6, \"target\": 7}, {\"weight\": 6291, \"source\": 6, \"target\": 8}, {\"weight\": 6200, \"source\": 7, \"target\": 8}]}", "id": 1305, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PJA, YWJ, ALH, DUD, GPA, YUM, TIR, MJV, NSK\n- Travel distances (in kilometers) between each pair of airports:\nPJA to YUM: 9974\nPJA to TIR: 7759\nPJA to MJV: 3691\nPJA to GPA: 3758\nPJA to YWJ: 9499\nPJA to DUD: 18242\nPJA to ALH: 14401\nPJA to NSK: 3980\nYWJ to YUM: 4023\nYWJ to TIR: 15825\nYWJ to MJV: 9812\nYWJ to GPA: 10543\nYWJ to DUD: 14785\nYWJ to ALH: 18250\nYWJ to NSK: 12015\nALH to YUM: 15896\nALH to TIR: 7972\nALH to MJV: 15415\nALH to GPA: 14390\nALH to DUD: 5816\nALH to NSK: 11960\nDUD to YUM: 11929\nDUD to TIR: 12448\nDUD to MJV: 20382\nDUD to GPA: 18931\nDUD to NSK: 15021\nGPA to YUM: 10979\nGPA to TIR: 7679\nGPA to MJV: 3470\nGPA to NSK: 6211\nYUM to TIR: 15640\nYUM to MJV: 9696\nYUM to NSK: 12490\nTIR to MJV: 8972\nTIR to NSK: 6291\nMJV to NSK: 6200\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PSJ, YGH, NBO, CLT, ORI, EGE, ALS, ATW, GKA\n- Travel distances (in kilometers) between each pair of airports:\nPSJ to ORI: 16319\nPSJ to NBO: 10145\nPSJ to CLT: 16917\nPSJ to ATW: 15871\nPSJ to GKA: 4998\nPSJ to ALS: 15522\nPSJ to YGH: 15963\nPSJ to EGE: 15426\nYGH to ORI: 5487\nYGH to NBO: 15469\nYGH to CLT: 5073\nYGH to ATW: 3955\nYGH to GKA: 15522\nYGH to ALS: 3714\nYGH to EGE: 3618\nNBO to ORI: 17269\nNBO to CLT: 13145\nNBO to ATW: 13329\nNBO to GKA: 13210\nNBO to ALS: 14626\nNBO to EGE: 14530\nCLT to ORI: 5963\nCLT to ATW: 1222\nCLT to GKA: 16114\nCLT to ALS: 2437\nCLT to EGE: 2341\nORI to ATW: 4851\nORI to GKA: 13823\nORI to ALS: 4583\nORI to EGE: 4487\nEGE to ATW: 1662\nEGE to GKA: 14281\nEGE to ALS: 482\nALS to ATW: 1758\nALS to GKA: 14044\nATW to GKA: 15430\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 54678, "style": "rule" }
{ "exact_answer": 54678, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"PSJ\", \"id\": 0}, {\"name\": \"YGH\", \"id\": 1}, {\"name\": \"NBO\", \"id\": 2}, {\"name\": \"CLT\", \"id\": 3}, {\"name\": \"ORI\", \"id\": 4}, {\"name\": \"EGE\", \"id\": 5}, {\"name\": \"ALS\", \"id\": 6}, {\"name\": \"ATW\", \"id\": 7}, {\"name\": \"GKA\", \"id\": 8}], \"links\": [{\"weight\": 16319, \"source\": 0, \"target\": 4}, {\"weight\": 10145, \"source\": 0, \"target\": 2}, {\"weight\": 16917, \"source\": 0, \"target\": 3}, {\"weight\": 15871, \"source\": 0, \"target\": 7}, {\"weight\": 4998, \"source\": 0, \"target\": 8}, {\"weight\": 15522, \"source\": 0, \"target\": 6}, {\"weight\": 15963, \"source\": 0, \"target\": 1}, {\"weight\": 15426, \"source\": 0, \"target\": 5}, {\"weight\": 5487, \"source\": 1, \"target\": 4}, {\"weight\": 15469, \"source\": 1, \"target\": 2}, {\"weight\": 5073, \"source\": 1, \"target\": 3}, {\"weight\": 3955, \"source\": 1, \"target\": 7}, {\"weight\": 15522, \"source\": 1, \"target\": 8}, {\"weight\": 3714, \"source\": 1, \"target\": 6}, {\"weight\": 3618, \"source\": 1, \"target\": 5}, {\"weight\": 17269, \"source\": 2, \"target\": 4}, {\"weight\": 13145, \"source\": 2, \"target\": 3}, {\"weight\": 13329, \"source\": 2, \"target\": 7}, {\"weight\": 13210, \"source\": 2, \"target\": 8}, {\"weight\": 14626, \"source\": 2, \"target\": 6}, {\"weight\": 14530, \"source\": 2, \"target\": 5}, {\"weight\": 5963, \"source\": 3, \"target\": 4}, {\"weight\": 1222, \"source\": 3, \"target\": 7}, {\"weight\": 16114, \"source\": 3, \"target\": 8}, {\"weight\": 2437, \"source\": 3, \"target\": 6}, {\"weight\": 2341, \"source\": 3, \"target\": 5}, {\"weight\": 4851, \"source\": 4, \"target\": 7}, {\"weight\": 13823, \"source\": 4, \"target\": 8}, {\"weight\": 4583, \"source\": 4, \"target\": 6}, {\"weight\": 4487, \"source\": 4, \"target\": 5}, {\"weight\": 1662, \"source\": 5, \"target\": 7}, {\"weight\": 14281, \"source\": 5, \"target\": 8}, {\"weight\": 482, \"source\": 5, \"target\": 6}, {\"weight\": 1758, \"source\": 6, \"target\": 7}, {\"weight\": 14044, \"source\": 6, \"target\": 8}, {\"weight\": 15430, \"source\": 7, \"target\": 8}]}", "id": 1306, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PSJ, YGH, NBO, CLT, ORI, EGE, ALS, ATW, GKA\n- Travel distances (in kilometers) between each pair of airports:\nPSJ to ORI: 16319\nPSJ to NBO: 10145\nPSJ to CLT: 16917\nPSJ to ATW: 15871\nPSJ to GKA: 4998\nPSJ to ALS: 15522\nPSJ to YGH: 15963\nPSJ to EGE: 15426\nYGH to ORI: 5487\nYGH to NBO: 15469\nYGH to CLT: 5073\nYGH to ATW: 3955\nYGH to GKA: 15522\nYGH to ALS: 3714\nYGH to EGE: 3618\nNBO to ORI: 17269\nNBO to CLT: 13145\nNBO to ATW: 13329\nNBO to GKA: 13210\nNBO to ALS: 14626\nNBO to EGE: 14530\nCLT to ORI: 5963\nCLT to ATW: 1222\nCLT to GKA: 16114\nCLT to ALS: 2437\nCLT to EGE: 2341\nORI to ATW: 4851\nORI to GKA: 13823\nORI to ALS: 4583\nORI to EGE: 4487\nEGE to ATW: 1662\nEGE to GKA: 14281\nEGE to ALS: 482\nALS to ATW: 1758\nALS to GKA: 14044\nATW to GKA: 15430\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TIP, IXU, FAO, YNG, YVQ, PUU, EFL, TLV, NIB\n- Travel distances (in kilometers) between each pair of airports:\nTIP to TLV: 2144\nTIP to NIB: 12806\nTIP to FAO: 2307\nTIP to YVQ: 10871\nTIP to PUU: 10104\nTIP to IXU: 6362\nTIP to EFL: 1548\nTIP to YNG: 9239\nIXU to TLV: 4325\nIXU to NIB: 16210\nIXU to FAO: 8305\nIXU to YVQ: 15269\nIXU to PUU: 16375\nIXU to EFL: 5760\nIXU to YNG: 14488\nFAO to TLV: 4093\nFAO to NIB: 11436\nFAO to YVQ: 9384\nFAO to PUU: 8280\nFAO to EFL: 2677\nFAO to YNG: 7387\nYNG to TLV: 10860\nYNG to NIB: 7051\nYNG to YVQ: 5961\nYNG to PUU: 4579\nYNG to EFL: 9483\nYVQ to TLV: 11895\nYVQ to NIB: 5335\nYVQ to PUU: 8533\nYVQ to EFL: 10649\nPUU to TLV: 12107\nPUU to NIB: 9556\nPUU to EFL: 10758\nEFL to TLV: 1495\nEFL to NIB: 12570\nTLV to NIB: 13827\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 50040, "style": "rule" }
{ "exact_answer": 50040, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"TIP\", \"id\": 0}, {\"name\": \"IXU\", \"id\": 1}, {\"name\": \"FAO\", \"id\": 2}, {\"name\": \"YNG\", \"id\": 3}, {\"name\": \"YVQ\", \"id\": 4}, {\"name\": \"PUU\", \"id\": 5}, {\"name\": \"EFL\", \"id\": 6}, {\"name\": \"TLV\", \"id\": 7}, {\"name\": \"NIB\", \"id\": 8}], \"links\": [{\"weight\": 2144, \"source\": 0, \"target\": 7}, {\"weight\": 12806, \"source\": 0, \"target\": 8}, {\"weight\": 2307, \"source\": 0, \"target\": 2}, {\"weight\": 10871, \"source\": 0, \"target\": 4}, {\"weight\": 10104, \"source\": 0, \"target\": 5}, {\"weight\": 6362, \"source\": 0, \"target\": 1}, {\"weight\": 1548, \"source\": 0, \"target\": 6}, {\"weight\": 9239, \"source\": 0, \"target\": 3}, {\"weight\": 4325, \"source\": 1, \"target\": 7}, {\"weight\": 16210, \"source\": 1, \"target\": 8}, {\"weight\": 8305, \"source\": 1, \"target\": 2}, {\"weight\": 15269, \"source\": 1, \"target\": 4}, {\"weight\": 16375, \"source\": 1, \"target\": 5}, {\"weight\": 5760, \"source\": 1, \"target\": 6}, {\"weight\": 14488, \"source\": 1, \"target\": 3}, {\"weight\": 4093, \"source\": 2, \"target\": 7}, {\"weight\": 11436, \"source\": 2, \"target\": 8}, {\"weight\": 9384, \"source\": 2, \"target\": 4}, {\"weight\": 8280, \"source\": 2, \"target\": 5}, {\"weight\": 2677, \"source\": 2, \"target\": 6}, {\"weight\": 7387, \"source\": 2, \"target\": 3}, {\"weight\": 10860, \"source\": 3, \"target\": 7}, {\"weight\": 7051, \"source\": 3, \"target\": 8}, {\"weight\": 5961, \"source\": 3, \"target\": 4}, {\"weight\": 4579, \"source\": 3, \"target\": 5}, {\"weight\": 9483, \"source\": 3, \"target\": 6}, {\"weight\": 11895, \"source\": 4, \"target\": 7}, {\"weight\": 5335, \"source\": 4, \"target\": 8}, {\"weight\": 8533, \"source\": 4, \"target\": 5}, {\"weight\": 10649, \"source\": 4, \"target\": 6}, {\"weight\": 12107, \"source\": 5, \"target\": 7}, {\"weight\": 9556, \"source\": 5, \"target\": 8}, {\"weight\": 10758, \"source\": 5, \"target\": 6}, {\"weight\": 1495, \"source\": 6, \"target\": 7}, {\"weight\": 12570, \"source\": 6, \"target\": 8}, {\"weight\": 13827, \"source\": 7, \"target\": 8}]}", "id": 1307, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TIP, IXU, FAO, YNG, YVQ, PUU, EFL, TLV, NIB\n- Travel distances (in kilometers) between each pair of airports:\nTIP to TLV: 2144\nTIP to NIB: 12806\nTIP to FAO: 2307\nTIP to YVQ: 10871\nTIP to PUU: 10104\nTIP to IXU: 6362\nTIP to EFL: 1548\nTIP to YNG: 9239\nIXU to TLV: 4325\nIXU to NIB: 16210\nIXU to FAO: 8305\nIXU to YVQ: 15269\nIXU to PUU: 16375\nIXU to EFL: 5760\nIXU to YNG: 14488\nFAO to TLV: 4093\nFAO to NIB: 11436\nFAO to YVQ: 9384\nFAO to PUU: 8280\nFAO to EFL: 2677\nFAO to YNG: 7387\nYNG to TLV: 10860\nYNG to NIB: 7051\nYNG to YVQ: 5961\nYNG to PUU: 4579\nYNG to EFL: 9483\nYVQ to TLV: 11895\nYVQ to NIB: 5335\nYVQ to PUU: 8533\nYVQ to EFL: 10649\nPUU to TLV: 12107\nPUU to NIB: 9556\nPUU to EFL: 10758\nEFL to TLV: 1495\nEFL to NIB: 12570\nTLV to NIB: 13827\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: YZV, EAE, GMB, AYT, KGT, NOS, SXX, WDH, NSQ\n- Travel distances (in kilometers) between each pair of airports:\nYZV to AYT: 7885\nYZV to WDH: 13082\nYZV to GMB: 11343\nYZV to NSQ: 7594\nYZV to NOS: 13682\nYZV to KGT: 13442\nYZV to EAE: 14663\nYZV to SXX: 7446\nEAE to AYT: 15854\nEAE to WDH: 14738\nEAE to GMB: 15920\nEAE to NSQ: 18767\nEAE to NOS: 12821\nEAE to KGT: 9363\nEAE to SXX: 16942\nGMB to AYT: 4027\nGMB to WDH: 4808\nGMB to NSQ: 10404\nGMB to NOS: 3442\nGMB to KGT: 7866\nGMB to SXX: 11624\nAYT to WDH: 7883\nAYT to NSQ: 6747\nAYT to NOS: 6501\nAYT to KGT: 7194\nAYT to SXX: 10511\nKGT to WDH: 11311\nKGT to NSQ: 11790\nKGT to NOS: 9453\nKGT to SXX: 17162\nNOS to WDH: 3914\nNOS to NSQ: 12896\nNOS to SXX: 12561\nSXX to WDH: 10018\nSXX to NSQ: 12721\nWDH to NSQ: 12855\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 69433, "style": "rule" }
{ "exact_answer": 69433, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"YZV\", \"id\": 0}, {\"name\": \"EAE\", \"id\": 1}, {\"name\": \"GMB\", \"id\": 2}, {\"name\": \"AYT\", \"id\": 3}, {\"name\": \"KGT\", \"id\": 4}, {\"name\": \"NOS\", \"id\": 5}, {\"name\": \"SXX\", \"id\": 6}, {\"name\": \"WDH\", \"id\": 7}, {\"name\": \"NSQ\", \"id\": 8}], \"links\": [{\"weight\": 7885, \"source\": 0, \"target\": 3}, {\"weight\": 13082, \"source\": 0, \"target\": 7}, {\"weight\": 11343, \"source\": 0, \"target\": 2}, {\"weight\": 7594, \"source\": 0, \"target\": 8}, {\"weight\": 13682, \"source\": 0, \"target\": 5}, {\"weight\": 13442, \"source\": 0, \"target\": 4}, {\"weight\": 14663, \"source\": 0, \"target\": 1}, {\"weight\": 7446, \"source\": 0, \"target\": 6}, {\"weight\": 15854, \"source\": 1, \"target\": 3}, {\"weight\": 14738, \"source\": 1, \"target\": 7}, {\"weight\": 15920, \"source\": 1, \"target\": 2}, {\"weight\": 18767, \"source\": 1, \"target\": 8}, {\"weight\": 12821, \"source\": 1, \"target\": 5}, {\"weight\": 9363, \"source\": 1, \"target\": 4}, {\"weight\": 16942, \"source\": 1, \"target\": 6}, {\"weight\": 4027, \"source\": 2, \"target\": 3}, {\"weight\": 4808, \"source\": 2, \"target\": 7}, {\"weight\": 10404, \"source\": 2, \"target\": 8}, {\"weight\": 3442, \"source\": 2, \"target\": 5}, {\"weight\": 7866, \"source\": 2, \"target\": 4}, {\"weight\": 11624, \"source\": 2, \"target\": 6}, {\"weight\": 7883, \"source\": 3, \"target\": 7}, {\"weight\": 6747, \"source\": 3, \"target\": 8}, {\"weight\": 6501, \"source\": 3, \"target\": 5}, {\"weight\": 7194, \"source\": 3, \"target\": 4}, {\"weight\": 10511, \"source\": 3, \"target\": 6}, {\"weight\": 11311, \"source\": 4, \"target\": 7}, {\"weight\": 11790, \"source\": 4, \"target\": 8}, {\"weight\": 9453, \"source\": 4, \"target\": 5}, {\"weight\": 17162, \"source\": 4, \"target\": 6}, {\"weight\": 3914, \"source\": 5, \"target\": 7}, {\"weight\": 12896, \"source\": 5, \"target\": 8}, {\"weight\": 12561, \"source\": 5, \"target\": 6}, {\"weight\": 10018, \"source\": 6, \"target\": 7}, {\"weight\": 12721, \"source\": 6, \"target\": 8}, {\"weight\": 12855, \"source\": 7, \"target\": 8}]}", "id": 1308, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: YZV, EAE, GMB, AYT, KGT, NOS, SXX, WDH, NSQ\n- Travel distances (in kilometers) between each pair of airports:\nYZV to AYT: 7885\nYZV to WDH: 13082\nYZV to GMB: 11343\nYZV to NSQ: 7594\nYZV to NOS: 13682\nYZV to KGT: 13442\nYZV to EAE: 14663\nYZV to SXX: 7446\nEAE to AYT: 15854\nEAE to WDH: 14738\nEAE to GMB: 15920\nEAE to NSQ: 18767\nEAE to NOS: 12821\nEAE to KGT: 9363\nEAE to SXX: 16942\nGMB to AYT: 4027\nGMB to WDH: 4808\nGMB to NSQ: 10404\nGMB to NOS: 3442\nGMB to KGT: 7866\nGMB to SXX: 11624\nAYT to WDH: 7883\nAYT to NSQ: 6747\nAYT to NOS: 6501\nAYT to KGT: 7194\nAYT to SXX: 10511\nKGT to WDH: 11311\nKGT to NSQ: 11790\nKGT to NOS: 9453\nKGT to SXX: 17162\nNOS to WDH: 3914\nNOS to NSQ: 12896\nNOS to SXX: 12561\nSXX to WDH: 10018\nSXX to NSQ: 12721\nWDH to NSQ: 12855\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: YIN, GEL, WMX, YEG, HMB, GUC, BIA, ORB, CIT\n- Travel distances (in kilometers) between each pair of airports:\nYIN to YEG: 12223\nYIN to BIA: 6964\nYIN to CIT: 1958\nYIN to HMB: 6005\nYIN to ORB: 6249\nYIN to WMX: 9591\nYIN to GEL: 16976\nYIN to GUC: 13447\nGEL to YEG: 11434\nGEL to BIA: 10686\nGEL to CIT: 15114\nGEL to HMB: 11875\nGEL to ORB: 12127\nGEL to WMX: 21446\nGEL to GUC: 10121\nWMX to YEG: 16261\nWMX to BIA: 15059\nWMX to CIT: 10416\nWMX to HMB: 12584\nWMX to ORB: 14846\nWMX to GUC: 17607\nYEG to BIA: 8051\nYEG to CIT: 10944\nYEG to HMB: 10660\nYEG to ORB: 7414\nYEG to GUC: 1883\nHMB to BIA: 3267\nHMB to CIT: 4241\nHMB to ORB: 4033\nHMB to GUC: 11689\nGUC to BIA: 8983\nGUC to CIT: 11993\nGUC to ORB: 8463\nBIA to CIT: 5303\nBIA to ORB: 2208\nORB to CIT: 4766\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 60982, "style": "rule" }
{ "exact_answer": 60982, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"YIN\", \"id\": 0}, {\"name\": \"GEL\", \"id\": 1}, {\"name\": \"WMX\", \"id\": 2}, {\"name\": \"YEG\", \"id\": 3}, {\"name\": \"HMB\", \"id\": 4}, {\"name\": \"GUC\", \"id\": 5}, {\"name\": \"BIA\", \"id\": 6}, {\"name\": \"ORB\", \"id\": 7}, {\"name\": \"CIT\", \"id\": 8}], \"links\": [{\"weight\": 12223, \"source\": 0, \"target\": 3}, {\"weight\": 6964, \"source\": 0, \"target\": 6}, {\"weight\": 1958, \"source\": 0, \"target\": 8}, {\"weight\": 6005, \"source\": 0, \"target\": 4}, {\"weight\": 6249, \"source\": 0, \"target\": 7}, {\"weight\": 9591, \"source\": 0, \"target\": 2}, {\"weight\": 16976, \"source\": 0, \"target\": 1}, {\"weight\": 13447, \"source\": 0, \"target\": 5}, {\"weight\": 11434, \"source\": 1, \"target\": 3}, {\"weight\": 10686, \"source\": 1, \"target\": 6}, {\"weight\": 15114, \"source\": 1, \"target\": 8}, {\"weight\": 11875, \"source\": 1, \"target\": 4}, {\"weight\": 12127, \"source\": 1, \"target\": 7}, {\"weight\": 21446, \"source\": 1, \"target\": 2}, {\"weight\": 10121, \"source\": 1, \"target\": 5}, {\"weight\": 16261, \"source\": 2, \"target\": 3}, {\"weight\": 15059, \"source\": 2, \"target\": 6}, {\"weight\": 10416, \"source\": 2, \"target\": 8}, {\"weight\": 12584, \"source\": 2, \"target\": 4}, {\"weight\": 14846, \"source\": 2, \"target\": 7}, {\"weight\": 17607, \"source\": 2, \"target\": 5}, {\"weight\": 8051, \"source\": 3, \"target\": 6}, {\"weight\": 10944, \"source\": 3, \"target\": 8}, {\"weight\": 10660, \"source\": 3, \"target\": 4}, {\"weight\": 7414, \"source\": 3, \"target\": 7}, {\"weight\": 1883, \"source\": 3, \"target\": 5}, {\"weight\": 3267, \"source\": 4, \"target\": 6}, {\"weight\": 4241, \"source\": 4, \"target\": 8}, {\"weight\": 4033, \"source\": 4, \"target\": 7}, {\"weight\": 11689, \"source\": 4, \"target\": 5}, {\"weight\": 8983, \"source\": 5, \"target\": 6}, {\"weight\": 11993, \"source\": 5, \"target\": 8}, {\"weight\": 8463, \"source\": 5, \"target\": 7}, {\"weight\": 5303, \"source\": 6, \"target\": 8}, {\"weight\": 2208, \"source\": 6, \"target\": 7}, {\"weight\": 4766, \"source\": 7, \"target\": 8}]}", "id": 1309, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: YIN, GEL, WMX, YEG, HMB, GUC, BIA, ORB, CIT\n- Travel distances (in kilometers) between each pair of airports:\nYIN to YEG: 12223\nYIN to BIA: 6964\nYIN to CIT: 1958\nYIN to HMB: 6005\nYIN to ORB: 6249\nYIN to WMX: 9591\nYIN to GEL: 16976\nYIN to GUC: 13447\nGEL to YEG: 11434\nGEL to BIA: 10686\nGEL to CIT: 15114\nGEL to HMB: 11875\nGEL to ORB: 12127\nGEL to WMX: 21446\nGEL to GUC: 10121\nWMX to YEG: 16261\nWMX to BIA: 15059\nWMX to CIT: 10416\nWMX to HMB: 12584\nWMX to ORB: 14846\nWMX to GUC: 17607\nYEG to BIA: 8051\nYEG to CIT: 10944\nYEG to HMB: 10660\nYEG to ORB: 7414\nYEG to GUC: 1883\nHMB to BIA: 3267\nHMB to CIT: 4241\nHMB to ORB: 4033\nHMB to GUC: 11689\nGUC to BIA: 8983\nGUC to CIT: 11993\nGUC to ORB: 8463\nBIA to CIT: 5303\nBIA to ORB: 2208\nORB to CIT: 4766\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: GNY, AXU, SVR, GRZ, PIB, MRU, YNZ, ZQN, MIA\n- Travel distances (in kilometers) between each pair of airports:\nGNY to GRZ: 2338\nGNY to PIB: 10729\nGNY to MIA: 10565\nGNY to YNZ: 8299\nGNY to MRU: 8282\nGNY to ZQN: 17054\nGNY to AXU: 4740\nGNY to SVR: 7931\nAXU to GRZ: 5562\nAXU to PIB: 13514\nAXU to MIA: 13384\nAXU to YNZ: 9349\nAXU to MRU: 4834\nAXU to ZQN: 15565\nAXU to SVR: 11213\nSVR to GRZ: 5948\nSVR to PIB: 9126\nSVR to MIA: 9157\nSVR to YNZ: 12813\nSVR to MRU: 14807\nSVR to ZQN: 21369\nGRZ to PIB: 8531\nGRZ to MIA: 8360\nGRZ to YNZ: 8409\nGRZ to MRU: 9156\nGRZ to ZQN: 18031\nPIB to MIA: 1477\nPIB to YNZ: 12863\nPIB to MRU: 16759\nPIB to ZQN: 15154\nMRU to MIA: 16677\nMRU to YNZ: 9113\nMRU to ZQN: 10731\nYNZ to MIA: 13296\nYNZ to ZQN: 10093\nZQN to MIA: 15271\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 62181, "style": "rule" }
{ "exact_answer": 62181, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"GNY\", \"id\": 0}, {\"name\": \"AXU\", \"id\": 1}, {\"name\": \"SVR\", \"id\": 2}, {\"name\": \"GRZ\", \"id\": 3}, {\"name\": \"PIB\", \"id\": 4}, {\"name\": \"MRU\", \"id\": 5}, {\"name\": \"YNZ\", \"id\": 6}, {\"name\": \"ZQN\", \"id\": 7}, {\"name\": \"MIA\", \"id\": 8}], \"links\": [{\"weight\": 2338, \"source\": 0, \"target\": 3}, {\"weight\": 10729, \"source\": 0, \"target\": 4}, {\"weight\": 10565, \"source\": 0, \"target\": 8}, {\"weight\": 8299, \"source\": 0, \"target\": 6}, {\"weight\": 8282, \"source\": 0, \"target\": 5}, {\"weight\": 17054, \"source\": 0, \"target\": 7}, {\"weight\": 4740, \"source\": 0, \"target\": 1}, {\"weight\": 7931, \"source\": 0, \"target\": 2}, {\"weight\": 5562, \"source\": 1, \"target\": 3}, {\"weight\": 13514, \"source\": 1, \"target\": 4}, {\"weight\": 13384, \"source\": 1, \"target\": 8}, {\"weight\": 9349, \"source\": 1, \"target\": 6}, {\"weight\": 4834, \"source\": 1, \"target\": 5}, {\"weight\": 15565, \"source\": 1, \"target\": 7}, {\"weight\": 11213, \"source\": 1, \"target\": 2}, {\"weight\": 5948, \"source\": 2, \"target\": 3}, {\"weight\": 9126, \"source\": 2, \"target\": 4}, {\"weight\": 9157, \"source\": 2, \"target\": 8}, {\"weight\": 12813, \"source\": 2, \"target\": 6}, {\"weight\": 14807, \"source\": 2, \"target\": 5}, {\"weight\": 21369, \"source\": 2, \"target\": 7}, {\"weight\": 8531, \"source\": 3, \"target\": 4}, {\"weight\": 8360, \"source\": 3, \"target\": 8}, {\"weight\": 8409, \"source\": 3, \"target\": 6}, {\"weight\": 9156, \"source\": 3, \"target\": 5}, {\"weight\": 18031, \"source\": 3, \"target\": 7}, {\"weight\": 1477, \"source\": 4, \"target\": 8}, {\"weight\": 12863, \"source\": 4, \"target\": 6}, {\"weight\": 16759, \"source\": 4, \"target\": 5}, {\"weight\": 15154, \"source\": 4, \"target\": 7}, {\"weight\": 16677, \"source\": 5, \"target\": 8}, {\"weight\": 9113, \"source\": 5, \"target\": 6}, {\"weight\": 10731, \"source\": 5, \"target\": 7}, {\"weight\": 13296, \"source\": 6, \"target\": 8}, {\"weight\": 10093, \"source\": 6, \"target\": 7}, {\"weight\": 15271, \"source\": 7, \"target\": 8}]}", "id": 1310, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: GNY, AXU, SVR, GRZ, PIB, MRU, YNZ, ZQN, MIA\n- Travel distances (in kilometers) between each pair of airports:\nGNY to GRZ: 2338\nGNY to PIB: 10729\nGNY to MIA: 10565\nGNY to YNZ: 8299\nGNY to MRU: 8282\nGNY to ZQN: 17054\nGNY to AXU: 4740\nGNY to SVR: 7931\nAXU to GRZ: 5562\nAXU to PIB: 13514\nAXU to MIA: 13384\nAXU to YNZ: 9349\nAXU to MRU: 4834\nAXU to ZQN: 15565\nAXU to SVR: 11213\nSVR to GRZ: 5948\nSVR to PIB: 9126\nSVR to MIA: 9157\nSVR to YNZ: 12813\nSVR to MRU: 14807\nSVR to ZQN: 21369\nGRZ to PIB: 8531\nGRZ to MIA: 8360\nGRZ to YNZ: 8409\nGRZ to MRU: 9156\nGRZ to ZQN: 18031\nPIB to MIA: 1477\nPIB to YNZ: 12863\nPIB to MRU: 16759\nPIB to ZQN: 15154\nMRU to MIA: 16677\nMRU to YNZ: 9113\nMRU to ZQN: 10731\nYNZ to MIA: 13296\nYNZ to ZQN: 10093\nZQN to MIA: 15271\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: KOP, MAF, HEA, FNI, TML, COR, OKJ, LCX, BSD\n- Travel distances (in kilometers) between each pair of airports:\nKOP to HEA: 5012\nKOP to COR: 19561\nKOP to MAF: 15044\nKOP to TML: 12197\nKOP to OKJ: 4613\nKOP to BSD: 2162\nKOP to FNI: 10701\nKOP to LCX: 4180\nMAF to HEA: 13634\nMAF to COR: 8271\nMAF to TML: 11383\nMAF to OKJ: 10771\nMAF to BSD: 13664\nMAF to FNI: 9084\nMAF to LCX: 12635\nHEA to COR: 15338\nHEA to TML: 7819\nHEA to OKJ: 6532\nHEA to BSD: 4477\nHEA to FNI: 5930\nHEA to LCX: 6607\nFNI to COR: 11101\nFNI to TML: 5245\nFNI to OKJ: 10317\nFNI to BSD: 9793\nFNI to LCX: 10631\nTML to COR: 8715\nTML to OKJ: 13900\nTML to BSD: 11851\nTML to LCX: 13889\nCOR to OKJ: 18597\nCOR to BSD: 19274\nCOR to LCX: 20588\nOKJ to BSD: 3541\nOKJ to LCX: 2616\nLCX to BSD: 3067\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 51789, "style": "rule" }
{ "exact_answer": 51789, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"KOP\", \"id\": 0}, {\"name\": \"MAF\", \"id\": 1}, {\"name\": \"HEA\", \"id\": 2}, {\"name\": \"FNI\", \"id\": 3}, {\"name\": \"TML\", \"id\": 4}, {\"name\": \"COR\", \"id\": 5}, {\"name\": \"OKJ\", \"id\": 6}, {\"name\": \"LCX\", \"id\": 7}, {\"name\": \"BSD\", \"id\": 8}], \"links\": [{\"weight\": 5012, \"source\": 0, \"target\": 2}, {\"weight\": 19561, \"source\": 0, \"target\": 5}, {\"weight\": 15044, \"source\": 0, \"target\": 1}, {\"weight\": 12197, \"source\": 0, \"target\": 4}, {\"weight\": 4613, \"source\": 0, \"target\": 6}, {\"weight\": 2162, \"source\": 0, \"target\": 8}, {\"weight\": 10701, \"source\": 0, \"target\": 3}, {\"weight\": 4180, \"source\": 0, \"target\": 7}, {\"weight\": 13634, \"source\": 1, \"target\": 2}, {\"weight\": 8271, \"source\": 1, \"target\": 5}, {\"weight\": 11383, \"source\": 1, \"target\": 4}, {\"weight\": 10771, \"source\": 1, \"target\": 6}, {\"weight\": 13664, \"source\": 1, \"target\": 8}, {\"weight\": 9084, \"source\": 1, \"target\": 3}, {\"weight\": 12635, \"source\": 1, \"target\": 7}, {\"weight\": 15338, \"source\": 2, \"target\": 5}, {\"weight\": 7819, \"source\": 2, \"target\": 4}, {\"weight\": 6532, \"source\": 2, \"target\": 6}, {\"weight\": 4477, \"source\": 2, \"target\": 8}, {\"weight\": 5930, \"source\": 2, \"target\": 3}, {\"weight\": 6607, \"source\": 2, \"target\": 7}, {\"weight\": 11101, \"source\": 3, \"target\": 5}, {\"weight\": 5245, \"source\": 3, \"target\": 4}, {\"weight\": 10317, \"source\": 3, \"target\": 6}, {\"weight\": 9793, \"source\": 3, \"target\": 8}, {\"weight\": 10631, \"source\": 3, \"target\": 7}, {\"weight\": 8715, \"source\": 4, \"target\": 5}, {\"weight\": 13900, \"source\": 4, \"target\": 6}, {\"weight\": 11851, \"source\": 4, \"target\": 8}, {\"weight\": 13889, \"source\": 4, \"target\": 7}, {\"weight\": 18597, \"source\": 5, \"target\": 6}, {\"weight\": 19274, \"source\": 5, \"target\": 8}, {\"weight\": 20588, \"source\": 5, \"target\": 7}, {\"weight\": 3541, \"source\": 6, \"target\": 8}, {\"weight\": 2616, \"source\": 6, \"target\": 7}, {\"weight\": 3067, \"source\": 7, \"target\": 8}]}", "id": 1311, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: KOP, MAF, HEA, FNI, TML, COR, OKJ, LCX, BSD\n- Travel distances (in kilometers) between each pair of airports:\nKOP to HEA: 5012\nKOP to COR: 19561\nKOP to MAF: 15044\nKOP to TML: 12197\nKOP to OKJ: 4613\nKOP to BSD: 2162\nKOP to FNI: 10701\nKOP to LCX: 4180\nMAF to HEA: 13634\nMAF to COR: 8271\nMAF to TML: 11383\nMAF to OKJ: 10771\nMAF to BSD: 13664\nMAF to FNI: 9084\nMAF to LCX: 12635\nHEA to COR: 15338\nHEA to TML: 7819\nHEA to OKJ: 6532\nHEA to BSD: 4477\nHEA to FNI: 5930\nHEA to LCX: 6607\nFNI to COR: 11101\nFNI to TML: 5245\nFNI to OKJ: 10317\nFNI to BSD: 9793\nFNI to LCX: 10631\nTML to COR: 8715\nTML to OKJ: 13900\nTML to BSD: 11851\nTML to LCX: 13889\nCOR to OKJ: 18597\nCOR to BSD: 19274\nCOR to LCX: 20588\nOKJ to BSD: 3541\nOKJ to LCX: 2616\nLCX to BSD: 3067\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: UPK, KGF, ISG, AMA, SYM, BOS, ADQ, HYG, YIW\n- Travel distances (in kilometers) between each pair of airports:\nUPK to ADQ: 11011\nUPK to SYM: 12457\nUPK to BOS: 6343\nUPK to AMA: 8762\nUPK to ISG: 13217\nUPK to YIW: 12454\nUPK to KGF: 8133\nUPK to HYG: 9444\nKGF to ADQ: 14206\nKGF to SYM: 4605\nKGF to BOS: 9538\nKGF to AMA: 11957\nKGF to ISG: 5600\nKGF to YIW: 4893\nKGF to HYG: 12639\nISG to ADQ: 12389\nISG to SYM: 2474\nISG to BOS: 12776\nISG to AMA: 11872\nISG to YIW: 1102\nISG to HYG: 10822\nAMA to ADQ: 4847\nAMA to SYM: 13277\nAMA to BOS: 2794\nAMA to YIW: 11770\nAMA to HYG: 3386\nSYM to ADQ: 13828\nSYM to BOS: 13694\nSYM to YIW: 2079\nSYM to HYG: 12261\nBOS to ADQ: 6251\nBOS to YIW: 12509\nBOS to HYG: 5169\nADQ to YIW: 12338\nADQ to HYG: 1769\nHYG to YIW: 10771\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 42494, "style": "rule" }
{ "exact_answer": 42494, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"UPK\", \"id\": 0}, {\"name\": \"KGF\", \"id\": 1}, {\"name\": \"ISG\", \"id\": 2}, {\"name\": \"AMA\", \"id\": 3}, {\"name\": \"SYM\", \"id\": 4}, {\"name\": \"BOS\", \"id\": 5}, {\"name\": \"ADQ\", \"id\": 6}, {\"name\": \"HYG\", \"id\": 7}, {\"name\": \"YIW\", \"id\": 8}], \"links\": [{\"weight\": 11011, \"source\": 0, \"target\": 6}, {\"weight\": 12457, \"source\": 0, \"target\": 4}, {\"weight\": 6343, \"source\": 0, \"target\": 5}, {\"weight\": 8762, \"source\": 0, \"target\": 3}, {\"weight\": 13217, \"source\": 0, \"target\": 2}, {\"weight\": 12454, \"source\": 0, \"target\": 8}, {\"weight\": 8133, \"source\": 0, \"target\": 1}, {\"weight\": 9444, \"source\": 0, \"target\": 7}, {\"weight\": 14206, \"source\": 1, \"target\": 6}, {\"weight\": 4605, \"source\": 1, \"target\": 4}, {\"weight\": 9538, \"source\": 1, \"target\": 5}, {\"weight\": 11957, \"source\": 1, \"target\": 3}, {\"weight\": 5600, \"source\": 1, \"target\": 2}, {\"weight\": 4893, \"source\": 1, \"target\": 8}, {\"weight\": 12639, \"source\": 1, \"target\": 7}, {\"weight\": 12389, \"source\": 2, \"target\": 6}, {\"weight\": 2474, \"source\": 2, \"target\": 4}, {\"weight\": 12776, \"source\": 2, \"target\": 5}, {\"weight\": 11872, \"source\": 2, \"target\": 3}, {\"weight\": 1102, \"source\": 2, \"target\": 8}, {\"weight\": 10822, \"source\": 2, \"target\": 7}, {\"weight\": 4847, \"source\": 3, \"target\": 6}, {\"weight\": 13277, \"source\": 3, \"target\": 4}, {\"weight\": 2794, \"source\": 3, \"target\": 5}, {\"weight\": 11770, \"source\": 3, \"target\": 8}, {\"weight\": 3386, \"source\": 3, \"target\": 7}, {\"weight\": 13828, \"source\": 4, \"target\": 6}, {\"weight\": 13694, \"source\": 4, \"target\": 5}, {\"weight\": 2079, \"source\": 4, \"target\": 8}, {\"weight\": 12261, \"source\": 4, \"target\": 7}, {\"weight\": 6251, \"source\": 5, \"target\": 6}, {\"weight\": 12509, \"source\": 5, \"target\": 8}, {\"weight\": 5169, \"source\": 5, \"target\": 7}, {\"weight\": 12338, \"source\": 6, \"target\": 8}, {\"weight\": 1769, \"source\": 6, \"target\": 7}, {\"weight\": 10771, \"source\": 7, \"target\": 8}]}", "id": 1312, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: UPK, KGF, ISG, AMA, SYM, BOS, ADQ, HYG, YIW\n- Travel distances (in kilometers) between each pair of airports:\nUPK to ADQ: 11011\nUPK to SYM: 12457\nUPK to BOS: 6343\nUPK to AMA: 8762\nUPK to ISG: 13217\nUPK to YIW: 12454\nUPK to KGF: 8133\nUPK to HYG: 9444\nKGF to ADQ: 14206\nKGF to SYM: 4605\nKGF to BOS: 9538\nKGF to AMA: 11957\nKGF to ISG: 5600\nKGF to YIW: 4893\nKGF to HYG: 12639\nISG to ADQ: 12389\nISG to SYM: 2474\nISG to BOS: 12776\nISG to AMA: 11872\nISG to YIW: 1102\nISG to HYG: 10822\nAMA to ADQ: 4847\nAMA to SYM: 13277\nAMA to BOS: 2794\nAMA to YIW: 11770\nAMA to HYG: 3386\nSYM to ADQ: 13828\nSYM to BOS: 13694\nSYM to YIW: 2079\nSYM to HYG: 12261\nBOS to ADQ: 6251\nBOS to YIW: 12509\nBOS to HYG: 5169\nADQ to YIW: 12338\nADQ to HYG: 1769\nHYG to YIW: 10771\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PEK, LBL, BGW, VUP, TEQ, CUU, CSH, MGF, PMR\n- Travel distances (in kilometers) between each pair of airports:\nPEK to CUU: 11414\nPEK to CSH: 6720\nPEK to MGF: 18086\nPEK to VUP: 15568\nPEK to BGW: 6796\nPEK to LBL: 10731\nPEK to PMR: 10842\nPEK to TEQ: 7389\nLBL to CUU: 2405\nLBL to CSH: 9922\nLBL to MGF: 9949\nLBL to VUP: 6059\nLBL to BGW: 11826\nLBL to PMR: 12696\nLBL to TEQ: 11120\nBGW to CUU: 12624\nBGW to CSH: 3989\nBGW to MGF: 12134\nBGW to VUP: 12986\nBGW to PMR: 15755\nBGW to TEQ: 1706\nVUP to CUU: 4932\nVUP to CSH: 12011\nVUP to MGF: 5544\nVUP to PMR: 14921\nVUP to TEQ: 12193\nTEQ to CUU: 11847\nTEQ to CSH: 3801\nTEQ to MGF: 11938\nTEQ to PMR: 17396\nCUU to CSH: 10810\nCUU to MGF: 8938\nCUU to PMR: 12238\nCSH to MGF: 13032\nCSH to PMR: 17562\nMGF to PMR: 12752\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 58700, "style": "rule" }
{ "exact_answer": 58700, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"PEK\", \"id\": 0}, {\"name\": \"LBL\", \"id\": 1}, {\"name\": \"BGW\", \"id\": 2}, {\"name\": \"VUP\", \"id\": 3}, {\"name\": \"TEQ\", \"id\": 4}, {\"name\": \"CUU\", \"id\": 5}, {\"name\": \"CSH\", \"id\": 6}, {\"name\": \"MGF\", \"id\": 7}, {\"name\": \"PMR\", \"id\": 8}], \"links\": [{\"weight\": 11414, \"source\": 0, \"target\": 5}, {\"weight\": 6720, \"source\": 0, \"target\": 6}, {\"weight\": 18086, \"source\": 0, \"target\": 7}, {\"weight\": 15568, \"source\": 0, \"target\": 3}, {\"weight\": 6796, \"source\": 0, \"target\": 2}, {\"weight\": 10731, \"source\": 0, \"target\": 1}, {\"weight\": 10842, \"source\": 0, \"target\": 8}, {\"weight\": 7389, \"source\": 0, \"target\": 4}, {\"weight\": 2405, \"source\": 1, \"target\": 5}, {\"weight\": 9922, \"source\": 1, \"target\": 6}, {\"weight\": 9949, \"source\": 1, \"target\": 7}, {\"weight\": 6059, \"source\": 1, \"target\": 3}, {\"weight\": 11826, \"source\": 1, \"target\": 2}, {\"weight\": 12696, \"source\": 1, \"target\": 8}, {\"weight\": 11120, \"source\": 1, \"target\": 4}, {\"weight\": 12624, \"source\": 2, \"target\": 5}, {\"weight\": 3989, \"source\": 2, \"target\": 6}, {\"weight\": 12134, \"source\": 2, \"target\": 7}, {\"weight\": 12986, \"source\": 2, \"target\": 3}, {\"weight\": 15755, \"source\": 2, \"target\": 8}, {\"weight\": 1706, \"source\": 2, \"target\": 4}, {\"weight\": 4932, \"source\": 3, \"target\": 5}, {\"weight\": 12011, \"source\": 3, \"target\": 6}, {\"weight\": 5544, \"source\": 3, \"target\": 7}, {\"weight\": 14921, \"source\": 3, \"target\": 8}, {\"weight\": 12193, \"source\": 3, \"target\": 4}, {\"weight\": 11847, \"source\": 4, \"target\": 5}, {\"weight\": 3801, \"source\": 4, \"target\": 6}, {\"weight\": 11938, \"source\": 4, \"target\": 7}, {\"weight\": 17396, \"source\": 4, \"target\": 8}, {\"weight\": 10810, \"source\": 5, \"target\": 6}, {\"weight\": 8938, \"source\": 5, \"target\": 7}, {\"weight\": 12238, \"source\": 5, \"target\": 8}, {\"weight\": 13032, \"source\": 6, \"target\": 7}, {\"weight\": 17562, \"source\": 6, \"target\": 8}, {\"weight\": 12752, \"source\": 7, \"target\": 8}]}", "id": 1313, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PEK, LBL, BGW, VUP, TEQ, CUU, CSH, MGF, PMR\n- Travel distances (in kilometers) between each pair of airports:\nPEK to CUU: 11414\nPEK to CSH: 6720\nPEK to MGF: 18086\nPEK to VUP: 15568\nPEK to BGW: 6796\nPEK to LBL: 10731\nPEK to PMR: 10842\nPEK to TEQ: 7389\nLBL to CUU: 2405\nLBL to CSH: 9922\nLBL to MGF: 9949\nLBL to VUP: 6059\nLBL to BGW: 11826\nLBL to PMR: 12696\nLBL to TEQ: 11120\nBGW to CUU: 12624\nBGW to CSH: 3989\nBGW to MGF: 12134\nBGW to VUP: 12986\nBGW to PMR: 15755\nBGW to TEQ: 1706\nVUP to CUU: 4932\nVUP to CSH: 12011\nVUP to MGF: 5544\nVUP to PMR: 14921\nVUP to TEQ: 12193\nTEQ to CUU: 11847\nTEQ to CSH: 3801\nTEQ to MGF: 11938\nTEQ to PMR: 17396\nCUU to CSH: 10810\nCUU to MGF: 8938\nCUU to PMR: 12238\nCSH to MGF: 13032\nCSH to PMR: 17562\nMGF to PMR: 12752\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: MLY, CZE, XSB, PRI, GAL, TSN, NYU, KAT, ANF\n- Travel distances (in kilometers) between each pair of airports:\nMLY to TSN: 11388\nMLY to ANF: 12086\nMLY to NYU: 14289\nMLY to GAL: 561\nMLY to PRI: 17890\nMLY to KAT: 12366\nMLY to XSB: 14817\nMLY to CZE: 9470\nCZE to TSN: 15366\nCZE to ANF: 4509\nCZE to NYU: 17331\nCZE to GAL: 9767\nCZE to PRI: 15512\nCZE to KAT: 15119\nCZE to XSB: 13240\nXSB to TSN: 6434\nXSB to ANF: 15493\nXSB to NYU: 5180\nXSB to GAL: 15114\nXSB to PRI: 3667\nXSB to KAT: 14753\nPRI to TSN: 8265\nPRI to ANF: 14217\nPRI to NYU: 6543\nPRI to GAL: 18187\nPRI to KAT: 13286\nGAL to TSN: 11685\nGAL to ANF: 12383\nGAL to NYU: 14586\nGAL to KAT: 12663\nTSN to ANF: 18231\nTSN to NYU: 2985\nTSN to KAT: 10597\nNYU to ANF: 19979\nNYU to KAT: 10911\nKAT to ANF: 11012\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 62355, "style": "rule" }
{ "exact_answer": 62355, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"MLY\", \"id\": 0}, {\"name\": \"CZE\", \"id\": 1}, {\"name\": \"XSB\", \"id\": 2}, {\"name\": \"PRI\", \"id\": 3}, {\"name\": \"GAL\", \"id\": 4}, {\"name\": \"TSN\", \"id\": 5}, {\"name\": \"NYU\", \"id\": 6}, {\"name\": \"KAT\", \"id\": 7}, {\"name\": \"ANF\", \"id\": 8}], \"links\": [{\"weight\": 11388, \"source\": 0, \"target\": 5}, {\"weight\": 12086, \"source\": 0, \"target\": 8}, {\"weight\": 14289, \"source\": 0, \"target\": 6}, {\"weight\": 561, \"source\": 0, \"target\": 4}, {\"weight\": 17890, \"source\": 0, \"target\": 3}, {\"weight\": 12366, \"source\": 0, \"target\": 7}, {\"weight\": 14817, \"source\": 0, \"target\": 2}, {\"weight\": 9470, \"source\": 0, \"target\": 1}, {\"weight\": 15366, \"source\": 1, \"target\": 5}, {\"weight\": 4509, \"source\": 1, \"target\": 8}, {\"weight\": 17331, \"source\": 1, \"target\": 6}, {\"weight\": 9767, \"source\": 1, \"target\": 4}, {\"weight\": 15512, \"source\": 1, \"target\": 3}, {\"weight\": 15119, \"source\": 1, \"target\": 7}, {\"weight\": 13240, \"source\": 1, \"target\": 2}, {\"weight\": 6434, \"source\": 2, \"target\": 5}, {\"weight\": 15493, \"source\": 2, \"target\": 8}, {\"weight\": 5180, \"source\": 2, \"target\": 6}, {\"weight\": 15114, \"source\": 2, \"target\": 4}, {\"weight\": 3667, \"source\": 2, \"target\": 3}, {\"weight\": 14753, \"source\": 2, \"target\": 7}, {\"weight\": 8265, \"source\": 3, \"target\": 5}, {\"weight\": 14217, \"source\": 3, \"target\": 8}, {\"weight\": 6543, \"source\": 3, \"target\": 6}, {\"weight\": 18187, \"source\": 3, \"target\": 4}, {\"weight\": 13286, \"source\": 3, \"target\": 7}, {\"weight\": 11685, \"source\": 4, \"target\": 5}, {\"weight\": 12383, \"source\": 4, \"target\": 8}, {\"weight\": 14586, \"source\": 4, \"target\": 6}, {\"weight\": 12663, \"source\": 4, \"target\": 7}, {\"weight\": 18231, \"source\": 5, \"target\": 8}, {\"weight\": 2985, \"source\": 5, \"target\": 6}, {\"weight\": 10597, \"source\": 5, \"target\": 7}, {\"weight\": 19979, \"source\": 6, \"target\": 8}, {\"weight\": 10911, \"source\": 6, \"target\": 7}, {\"weight\": 11012, \"source\": 7, \"target\": 8}]}", "id": 1314, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: MLY, CZE, XSB, PRI, GAL, TSN, NYU, KAT, ANF\n- Travel distances (in kilometers) between each pair of airports:\nMLY to TSN: 11388\nMLY to ANF: 12086\nMLY to NYU: 14289\nMLY to GAL: 561\nMLY to PRI: 17890\nMLY to KAT: 12366\nMLY to XSB: 14817\nMLY to CZE: 9470\nCZE to TSN: 15366\nCZE to ANF: 4509\nCZE to NYU: 17331\nCZE to GAL: 9767\nCZE to PRI: 15512\nCZE to KAT: 15119\nCZE to XSB: 13240\nXSB to TSN: 6434\nXSB to ANF: 15493\nXSB to NYU: 5180\nXSB to GAL: 15114\nXSB to PRI: 3667\nXSB to KAT: 14753\nPRI to TSN: 8265\nPRI to ANF: 14217\nPRI to NYU: 6543\nPRI to GAL: 18187\nPRI to KAT: 13286\nGAL to TSN: 11685\nGAL to ANF: 12383\nGAL to NYU: 14586\nGAL to KAT: 12663\nTSN to ANF: 18231\nTSN to NYU: 2985\nTSN to KAT: 10597\nNYU to ANF: 19979\nNYU to KAT: 10911\nKAT to ANF: 11012\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BHD, BOM, DIG, TTQ, YKU, AKY, ELC, CNM, IEV\n- Travel distances (in kilometers) between each pair of airports:\nBHD to TTQ: 8941\nBHD to BOM: 7607\nBHD to AKY: 9852\nBHD to DIG: 9034\nBHD to IEV: 2574\nBHD to CNM: 8171\nBHD to ELC: 14584\nBHD to YKU: 6504\nBOM to TTQ: 16098\nBOM to AKY: 3187\nBOM to DIG: 3035\nBOM to IEV: 5324\nBOM to CNM: 15199\nBOM to ELC: 7771\nBOM to YKU: 13426\nDIG to TTQ: 16231\nDIG to AKY: 2063\nDIG to IEV: 7007\nDIG to CNM: 13009\nDIG to ELC: 6422\nDIG to YKU: 13889\nTTQ to AKY: 17897\nTTQ to IEV: 11090\nTTQ to CNM: 4167\nTTQ to ELC: 19374\nTTQ to YKU: 5123\nYKU to AKY: 15555\nYKU to IEV: 8417\nYKU to CNM: 3939\nYKU to ELC: 17630\nAKY to IEV: 7584\nAKY to CNM: 14675\nAKY to ELC: 6277\nELC to IEV: 12696\nELC to CNM: 16351\nCNM to IEV: 10072\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 51418, "style": "rule" }
{ "exact_answer": 51418, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"BHD\", \"id\": 0}, {\"name\": \"BOM\", \"id\": 1}, {\"name\": \"DIG\", \"id\": 2}, {\"name\": \"TTQ\", \"id\": 3}, {\"name\": \"YKU\", \"id\": 4}, {\"name\": \"AKY\", \"id\": 5}, {\"name\": \"ELC\", \"id\": 6}, {\"name\": \"CNM\", \"id\": 7}, {\"name\": \"IEV\", \"id\": 8}], \"links\": [{\"weight\": 8941, \"source\": 0, \"target\": 3}, {\"weight\": 7607, \"source\": 0, \"target\": 1}, {\"weight\": 9852, \"source\": 0, \"target\": 5}, {\"weight\": 9034, \"source\": 0, \"target\": 2}, {\"weight\": 2574, \"source\": 0, \"target\": 8}, {\"weight\": 8171, \"source\": 0, \"target\": 7}, {\"weight\": 14584, \"source\": 0, \"target\": 6}, {\"weight\": 6504, \"source\": 0, \"target\": 4}, {\"weight\": 16098, \"source\": 1, \"target\": 3}, {\"weight\": 3187, \"source\": 1, \"target\": 5}, {\"weight\": 3035, \"source\": 1, \"target\": 2}, {\"weight\": 5324, \"source\": 1, \"target\": 8}, {\"weight\": 15199, \"source\": 1, \"target\": 7}, {\"weight\": 7771, \"source\": 1, \"target\": 6}, {\"weight\": 13426, \"source\": 1, \"target\": 4}, {\"weight\": 16231, \"source\": 2, \"target\": 3}, {\"weight\": 2063, \"source\": 2, \"target\": 5}, {\"weight\": 7007, \"source\": 2, \"target\": 8}, {\"weight\": 13009, \"source\": 2, \"target\": 7}, {\"weight\": 6422, \"source\": 2, \"target\": 6}, {\"weight\": 13889, \"source\": 2, \"target\": 4}, {\"weight\": 17897, \"source\": 3, \"target\": 5}, {\"weight\": 11090, \"source\": 3, \"target\": 8}, {\"weight\": 4167, \"source\": 3, \"target\": 7}, {\"weight\": 19374, \"source\": 3, \"target\": 6}, {\"weight\": 5123, \"source\": 3, \"target\": 4}, {\"weight\": 15555, \"source\": 4, \"target\": 5}, {\"weight\": 8417, \"source\": 4, \"target\": 8}, {\"weight\": 3939, \"source\": 4, \"target\": 7}, {\"weight\": 17630, \"source\": 4, \"target\": 6}, {\"weight\": 7584, \"source\": 5, \"target\": 8}, {\"weight\": 14675, \"source\": 5, \"target\": 7}, {\"weight\": 6277, \"source\": 5, \"target\": 6}, {\"weight\": 12696, \"source\": 6, \"target\": 8}, {\"weight\": 16351, \"source\": 6, \"target\": 7}, {\"weight\": 10072, \"source\": 7, \"target\": 8}]}", "id": 1315, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BHD, BOM, DIG, TTQ, YKU, AKY, ELC, CNM, IEV\n- Travel distances (in kilometers) between each pair of airports:\nBHD to TTQ: 8941\nBHD to BOM: 7607\nBHD to AKY: 9852\nBHD to DIG: 9034\nBHD to IEV: 2574\nBHD to CNM: 8171\nBHD to ELC: 14584\nBHD to YKU: 6504\nBOM to TTQ: 16098\nBOM to AKY: 3187\nBOM to DIG: 3035\nBOM to IEV: 5324\nBOM to CNM: 15199\nBOM to ELC: 7771\nBOM to YKU: 13426\nDIG to TTQ: 16231\nDIG to AKY: 2063\nDIG to IEV: 7007\nDIG to CNM: 13009\nDIG to ELC: 6422\nDIG to YKU: 13889\nTTQ to AKY: 17897\nTTQ to IEV: 11090\nTTQ to CNM: 4167\nTTQ to ELC: 19374\nTTQ to YKU: 5123\nYKU to AKY: 15555\nYKU to IEV: 8417\nYKU to CNM: 3939\nYKU to ELC: 17630\nAKY to IEV: 7584\nAKY to CNM: 14675\nAKY to ELC: 6277\nELC to IEV: 12696\nELC to CNM: 16351\nCNM to IEV: 10072\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: URA, SVQ, BLA, MVY, PMC, QFG, ACX, JIK, MAM\n- Travel distances (in kilometers) between each pair of airports:\nURA to MVY: 9178\nURA to BLA: 11577\nURA to JIK: 3157\nURA to PMC: 16478\nURA to SVQ: 5383\nURA to MAM: 13282\nURA to ACX: 6140\nURA to QFG: 7125\nSVQ to MVY: 5556\nSVQ to BLA: 7079\nSVQ to JIK: 2923\nSVQ to PMC: 11580\nSVQ to MAM: 9769\nSVQ to ACX: 10374\nSVQ to QFG: 5355\nBLA to MVY: 3925\nBLA to JIK: 9852\nBLA to PMC: 6082\nBLA to MAM: 4555\nBLA to ACX: 16405\nBLA to QFG: 9620\nMVY to JIK: 7966\nMVY to PMC: 9468\nMVY to MAM: 4381\nMVY to ACX: 13390\nMVY to QFG: 5919\nPMC to JIK: 14211\nPMC to MAM: 8234\nPMC to ACX: 20646\nPMC to QFG: 15163\nQFG to JIK: 6334\nQFG to MAM: 10071\nQFG to ACX: 11644\nACX to JIK: 8322\nACX to MAM: 15160\nJIK to MAM: 12230\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 55559, "style": "rule" }
{ "exact_answer": 55559, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"URA\", \"id\": 0}, {\"name\": \"SVQ\", \"id\": 1}, {\"name\": \"BLA\", \"id\": 2}, {\"name\": \"MVY\", \"id\": 3}, {\"name\": \"PMC\", \"id\": 4}, {\"name\": \"QFG\", \"id\": 5}, {\"name\": \"ACX\", \"id\": 6}, {\"name\": \"JIK\", \"id\": 7}, {\"name\": \"MAM\", \"id\": 8}], \"links\": [{\"weight\": 9178, \"source\": 0, \"target\": 3}, {\"weight\": 11577, \"source\": 0, \"target\": 2}, {\"weight\": 3157, \"source\": 0, \"target\": 7}, {\"weight\": 16478, \"source\": 0, \"target\": 4}, {\"weight\": 5383, \"source\": 0, \"target\": 1}, {\"weight\": 13282, \"source\": 0, \"target\": 8}, {\"weight\": 6140, \"source\": 0, \"target\": 6}, {\"weight\": 7125, \"source\": 0, \"target\": 5}, {\"weight\": 5556, \"source\": 1, \"target\": 3}, {\"weight\": 7079, \"source\": 1, \"target\": 2}, {\"weight\": 2923, \"source\": 1, \"target\": 7}, {\"weight\": 11580, \"source\": 1, \"target\": 4}, {\"weight\": 9769, \"source\": 1, \"target\": 8}, {\"weight\": 10374, \"source\": 1, \"target\": 6}, {\"weight\": 5355, \"source\": 1, \"target\": 5}, {\"weight\": 3925, \"source\": 2, \"target\": 3}, {\"weight\": 9852, \"source\": 2, \"target\": 7}, {\"weight\": 6082, \"source\": 2, \"target\": 4}, {\"weight\": 4555, \"source\": 2, \"target\": 8}, {\"weight\": 16405, \"source\": 2, \"target\": 6}, {\"weight\": 9620, \"source\": 2, \"target\": 5}, {\"weight\": 7966, \"source\": 3, \"target\": 7}, {\"weight\": 9468, \"source\": 3, \"target\": 4}, {\"weight\": 4381, \"source\": 3, \"target\": 8}, {\"weight\": 13390, \"source\": 3, \"target\": 6}, {\"weight\": 5919, \"source\": 3, \"target\": 5}, {\"weight\": 14211, \"source\": 4, \"target\": 7}, {\"weight\": 8234, \"source\": 4, \"target\": 8}, {\"weight\": 20646, \"source\": 4, \"target\": 6}, {\"weight\": 15163, \"source\": 4, \"target\": 5}, {\"weight\": 6334, \"source\": 5, \"target\": 7}, {\"weight\": 10071, \"source\": 5, \"target\": 8}, {\"weight\": 11644, \"source\": 5, \"target\": 6}, {\"weight\": 8322, \"source\": 6, \"target\": 7}, {\"weight\": 15160, \"source\": 6, \"target\": 8}, {\"weight\": 12230, \"source\": 7, \"target\": 8}]}", "id": 1316, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: URA, SVQ, BLA, MVY, PMC, QFG, ACX, JIK, MAM\n- Travel distances (in kilometers) between each pair of airports:\nURA to MVY: 9178\nURA to BLA: 11577\nURA to JIK: 3157\nURA to PMC: 16478\nURA to SVQ: 5383\nURA to MAM: 13282\nURA to ACX: 6140\nURA to QFG: 7125\nSVQ to MVY: 5556\nSVQ to BLA: 7079\nSVQ to JIK: 2923\nSVQ to PMC: 11580\nSVQ to MAM: 9769\nSVQ to ACX: 10374\nSVQ to QFG: 5355\nBLA to MVY: 3925\nBLA to JIK: 9852\nBLA to PMC: 6082\nBLA to MAM: 4555\nBLA to ACX: 16405\nBLA to QFG: 9620\nMVY to JIK: 7966\nMVY to PMC: 9468\nMVY to MAM: 4381\nMVY to ACX: 13390\nMVY to QFG: 5919\nPMC to JIK: 14211\nPMC to MAM: 8234\nPMC to ACX: 20646\nPMC to QFG: 15163\nQFG to JIK: 6334\nQFG to MAM: 10071\nQFG to ACX: 11644\nACX to JIK: 8322\nACX to MAM: 15160\nJIK to MAM: 12230\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: JTY, RCY, CGB, GCK, MYJ, LHW, RAB, ARN, ABQ\n- Travel distances (in kilometers) between each pair of airports:\nJTY to ARN: 2714\nJTY to CGB: 11021\nJTY to LHW: 7159\nJTY to ABQ: 10703\nJTY to GCK: 10965\nJTY to RAB: 14688\nJTY to MYJ: 9434\nJTY to RCY: 9970\nRCY to ARN: 8337\nRCY to CGB: 6231\nRCY to LHW: 14151\nRCY to ABQ: 3309\nRCY to GCK: 3047\nRCY to RAB: 17442\nRCY to MYJ: 13203\nCGB to ARN: 11168\nCGB to LHW: 17421\nCGB to ABQ: 8486\nCGB to GCK: 8234\nCGB to RAB: 18534\nCGB to MYJ: 18474\nGCK to ARN: 8796\nGCK to LHW: 13176\nGCK to ABQ: 1564\nGCK to RAB: 15717\nGCK to MYJ: 11702\nMYJ to ARN: 8125\nMYJ to LHW: 2726\nMYJ to ABQ: 10261\nMYJ to RAB: 6613\nLHW to ARN: 6576\nLHW to ABQ: 11780\nLHW to RAB: 7685\nRAB to ARN: 14073\nRAB to ABQ: 14170\nARN to ABQ: 8430\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 54662, "style": "rule" }
{ "exact_answer": 54662, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"JTY\", \"id\": 0}, {\"name\": \"RCY\", \"id\": 1}, {\"name\": \"CGB\", \"id\": 2}, {\"name\": \"GCK\", \"id\": 3}, {\"name\": \"MYJ\", \"id\": 4}, {\"name\": \"LHW\", \"id\": 5}, {\"name\": \"RAB\", \"id\": 6}, {\"name\": \"ARN\", \"id\": 7}, {\"name\": \"ABQ\", \"id\": 8}], \"links\": [{\"weight\": 2714, \"source\": 0, \"target\": 7}, {\"weight\": 11021, \"source\": 0, \"target\": 2}, {\"weight\": 7159, \"source\": 0, \"target\": 5}, {\"weight\": 10703, \"source\": 0, \"target\": 8}, {\"weight\": 10965, \"source\": 0, \"target\": 3}, {\"weight\": 14688, \"source\": 0, \"target\": 6}, {\"weight\": 9434, \"source\": 0, \"target\": 4}, {\"weight\": 9970, \"source\": 0, \"target\": 1}, {\"weight\": 8337, \"source\": 1, \"target\": 7}, {\"weight\": 6231, \"source\": 1, \"target\": 2}, {\"weight\": 14151, \"source\": 1, \"target\": 5}, {\"weight\": 3309, \"source\": 1, \"target\": 8}, {\"weight\": 3047, \"source\": 1, \"target\": 3}, {\"weight\": 17442, \"source\": 1, \"target\": 6}, {\"weight\": 13203, \"source\": 1, \"target\": 4}, {\"weight\": 11168, \"source\": 2, \"target\": 7}, {\"weight\": 17421, \"source\": 2, \"target\": 5}, {\"weight\": 8486, \"source\": 2, \"target\": 8}, {\"weight\": 8234, \"source\": 2, \"target\": 3}, {\"weight\": 18534, \"source\": 2, \"target\": 6}, {\"weight\": 18474, \"source\": 2, \"target\": 4}, {\"weight\": 8796, \"source\": 3, \"target\": 7}, {\"weight\": 13176, \"source\": 3, \"target\": 5}, {\"weight\": 1564, \"source\": 3, \"target\": 8}, {\"weight\": 15717, \"source\": 3, \"target\": 6}, {\"weight\": 11702, \"source\": 3, \"target\": 4}, {\"weight\": 8125, \"source\": 4, \"target\": 7}, {\"weight\": 2726, \"source\": 4, \"target\": 5}, {\"weight\": 10261, \"source\": 4, \"target\": 8}, {\"weight\": 6613, \"source\": 4, \"target\": 6}, {\"weight\": 6576, \"source\": 5, \"target\": 7}, {\"weight\": 11780, \"source\": 5, \"target\": 8}, {\"weight\": 7685, \"source\": 5, \"target\": 6}, {\"weight\": 14073, \"source\": 6, \"target\": 7}, {\"weight\": 14170, \"source\": 6, \"target\": 8}, {\"weight\": 8430, \"source\": 7, \"target\": 8}]}", "id": 1317, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: JTY, RCY, CGB, GCK, MYJ, LHW, RAB, ARN, ABQ\n- Travel distances (in kilometers) between each pair of airports:\nJTY to ARN: 2714\nJTY to CGB: 11021\nJTY to LHW: 7159\nJTY to ABQ: 10703\nJTY to GCK: 10965\nJTY to RAB: 14688\nJTY to MYJ: 9434\nJTY to RCY: 9970\nRCY to ARN: 8337\nRCY to CGB: 6231\nRCY to LHW: 14151\nRCY to ABQ: 3309\nRCY to GCK: 3047\nRCY to RAB: 17442\nRCY to MYJ: 13203\nCGB to ARN: 11168\nCGB to LHW: 17421\nCGB to ABQ: 8486\nCGB to GCK: 8234\nCGB to RAB: 18534\nCGB to MYJ: 18474\nGCK to ARN: 8796\nGCK to LHW: 13176\nGCK to ABQ: 1564\nGCK to RAB: 15717\nGCK to MYJ: 11702\nMYJ to ARN: 8125\nMYJ to LHW: 2726\nMYJ to ABQ: 10261\nMYJ to RAB: 6613\nLHW to ARN: 6576\nLHW to ABQ: 11780\nLHW to RAB: 7685\nRAB to ARN: 14073\nRAB to ABQ: 14170\nARN to ABQ: 8430\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: WNN, UII, BJM, KMI, FLA, ARW, RNB, ACH, CUQ\n- Travel distances (in kilometers) between each pair of airports:\nWNN to ACH: 9013\nWNN to FLA: 6285\nWNN to BJM: 13869\nWNN to KMI: 10820\nWNN to RNB: 8257\nWNN to UII: 4780\nWNN to CUQ: 16212\nWNN to ARW: 9126\nUII to ACH: 10257\nUII to FLA: 2383\nUII to BJM: 14537\nUII to KMI: 13474\nUII to RNB: 9800\nUII to CUQ: 17221\nUII to ARW: 10475\nBJM to ACH: 6651\nBJM to FLA: 13525\nBJM to KMI: 11548\nBJM to RNB: 7560\nBJM to CUQ: 13661\nBJM to ARW: 7218\nKMI to ACH: 9545\nKMI to FLA: 15560\nKMI to RNB: 8587\nKMI to CUQ: 6701\nKMI to ARW: 10490\nFLA to ACH: 10564\nFLA to RNB: 10613\nFLA to CUQ: 18349\nFLA to ARW: 10459\nARW to ACH: 2297\nARW to RNB: 2951\nARW to CUQ: 16214\nRNB to ACH: 2220\nRNB to CUQ: 14609\nACH to CUQ: 15257\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 60626, "style": "rule" }
{ "exact_answer": 60626, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"WNN\", \"id\": 0}, {\"name\": \"UII\", \"id\": 1}, {\"name\": \"BJM\", \"id\": 2}, {\"name\": \"KMI\", \"id\": 3}, {\"name\": \"FLA\", \"id\": 4}, {\"name\": \"ARW\", \"id\": 5}, {\"name\": \"RNB\", \"id\": 6}, {\"name\": \"ACH\", \"id\": 7}, {\"name\": \"CUQ\", \"id\": 8}], \"links\": [{\"weight\": 9013, \"source\": 0, \"target\": 7}, {\"weight\": 6285, \"source\": 0, \"target\": 4}, {\"weight\": 13869, \"source\": 0, \"target\": 2}, {\"weight\": 10820, \"source\": 0, \"target\": 3}, {\"weight\": 8257, \"source\": 0, \"target\": 6}, {\"weight\": 4780, \"source\": 0, \"target\": 1}, {\"weight\": 16212, \"source\": 0, \"target\": 8}, {\"weight\": 9126, \"source\": 0, \"target\": 5}, {\"weight\": 10257, \"source\": 1, \"target\": 7}, {\"weight\": 2383, \"source\": 1, \"target\": 4}, {\"weight\": 14537, \"source\": 1, \"target\": 2}, {\"weight\": 13474, \"source\": 1, \"target\": 3}, {\"weight\": 9800, \"source\": 1, \"target\": 6}, {\"weight\": 17221, \"source\": 1, \"target\": 8}, {\"weight\": 10475, \"source\": 1, \"target\": 5}, {\"weight\": 6651, \"source\": 2, \"target\": 7}, {\"weight\": 13525, \"source\": 2, \"target\": 4}, {\"weight\": 11548, \"source\": 2, \"target\": 3}, {\"weight\": 7560, \"source\": 2, \"target\": 6}, {\"weight\": 13661, \"source\": 2, \"target\": 8}, {\"weight\": 7218, \"source\": 2, \"target\": 5}, {\"weight\": 9545, \"source\": 3, \"target\": 7}, {\"weight\": 15560, \"source\": 3, \"target\": 4}, {\"weight\": 8587, \"source\": 3, \"target\": 6}, {\"weight\": 6701, \"source\": 3, \"target\": 8}, {\"weight\": 10490, \"source\": 3, \"target\": 5}, {\"weight\": 10564, \"source\": 4, \"target\": 7}, {\"weight\": 10613, \"source\": 4, \"target\": 6}, {\"weight\": 18349, \"source\": 4, \"target\": 8}, {\"weight\": 10459, \"source\": 4, \"target\": 5}, {\"weight\": 2297, \"source\": 5, \"target\": 7}, {\"weight\": 2951, \"source\": 5, \"target\": 6}, {\"weight\": 16214, \"source\": 5, \"target\": 8}, {\"weight\": 2220, \"source\": 6, \"target\": 7}, {\"weight\": 14609, \"source\": 6, \"target\": 8}, {\"weight\": 15257, \"source\": 7, \"target\": 8}]}", "id": 1318, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: WNN, UII, BJM, KMI, FLA, ARW, RNB, ACH, CUQ\n- Travel distances (in kilometers) between each pair of airports:\nWNN to ACH: 9013\nWNN to FLA: 6285\nWNN to BJM: 13869\nWNN to KMI: 10820\nWNN to RNB: 8257\nWNN to UII: 4780\nWNN to CUQ: 16212\nWNN to ARW: 9126\nUII to ACH: 10257\nUII to FLA: 2383\nUII to BJM: 14537\nUII to KMI: 13474\nUII to RNB: 9800\nUII to CUQ: 17221\nUII to ARW: 10475\nBJM to ACH: 6651\nBJM to FLA: 13525\nBJM to KMI: 11548\nBJM to RNB: 7560\nBJM to CUQ: 13661\nBJM to ARW: 7218\nKMI to ACH: 9545\nKMI to FLA: 15560\nKMI to RNB: 8587\nKMI to CUQ: 6701\nKMI to ARW: 10490\nFLA to ACH: 10564\nFLA to RNB: 10613\nFLA to CUQ: 18349\nFLA to ARW: 10459\nARW to ACH: 2297\nARW to RNB: 2951\nARW to CUQ: 16214\nRNB to ACH: 2220\nRNB to CUQ: 14609\nACH to CUQ: 15257\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: NQU, KSF, IFN, BRC, GYN, YSB, YZT, MJD, ALS\n- Travel distances (in kilometers) between each pair of airports:\nNQU to GYN: 5506\nNQU to YZT: 7339\nNQU to BRC: 5822\nNQU to YSB: 5135\nNQU to IFN: 13407\nNQU to ALS: 5504\nNQU to MJD: 15415\nNQU to KSF: 10393\nKSF to GYN: 9699\nKSF to YZT: 10672\nKSF to BRC: 13153\nKSF to YSB: 8368\nKSF to IFN: 5119\nKSF to ALS: 10402\nKSF to MJD: 6378\nIFN to GYN: 12663\nIFN to YZT: 12451\nIFN to BRC: 15292\nIFN to YSB: 10773\nIFN to ALS: 12395\nIFN to MJD: 2372\nBRC to GYN: 3706\nBRC to YZT: 12025\nBRC to YSB: 10100\nBRC to ALS: 10331\nBRC to MJD: 16661\nGYN to YZT: 10848\nGYN to YSB: 8010\nGYN to ALS: 9007\nGYN to MJD: 14250\nYSB to YZT: 3472\nYSB to ALS: 2739\nYSB to MJD: 12177\nYZT to ALS: 2419\nYZT to MJD: 13580\nMJD to ALS: 13936\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 50145, "style": "rule" }
{ "exact_answer": 50145, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"NQU\", \"id\": 0}, {\"name\": \"KSF\", \"id\": 1}, {\"name\": \"IFN\", \"id\": 2}, {\"name\": \"BRC\", \"id\": 3}, {\"name\": \"GYN\", \"id\": 4}, {\"name\": \"YSB\", \"id\": 5}, {\"name\": \"YZT\", \"id\": 6}, {\"name\": \"MJD\", \"id\": 7}, {\"name\": \"ALS\", \"id\": 8}], \"links\": [{\"weight\": 5506, \"source\": 0, \"target\": 4}, {\"weight\": 7339, \"source\": 0, \"target\": 6}, {\"weight\": 5822, \"source\": 0, \"target\": 3}, {\"weight\": 5135, \"source\": 0, \"target\": 5}, {\"weight\": 13407, \"source\": 0, \"target\": 2}, {\"weight\": 5504, \"source\": 0, \"target\": 8}, {\"weight\": 15415, \"source\": 0, \"target\": 7}, {\"weight\": 10393, \"source\": 0, \"target\": 1}, {\"weight\": 9699, \"source\": 1, \"target\": 4}, {\"weight\": 10672, \"source\": 1, \"target\": 6}, {\"weight\": 13153, \"source\": 1, \"target\": 3}, {\"weight\": 8368, \"source\": 1, \"target\": 5}, {\"weight\": 5119, \"source\": 1, \"target\": 2}, {\"weight\": 10402, \"source\": 1, \"target\": 8}, {\"weight\": 6378, \"source\": 1, \"target\": 7}, {\"weight\": 12663, \"source\": 2, \"target\": 4}, {\"weight\": 12451, \"source\": 2, \"target\": 6}, {\"weight\": 15292, \"source\": 2, \"target\": 3}, {\"weight\": 10773, \"source\": 2, \"target\": 5}, {\"weight\": 12395, \"source\": 2, \"target\": 8}, {\"weight\": 2372, \"source\": 2, \"target\": 7}, {\"weight\": 3706, \"source\": 3, \"target\": 4}, {\"weight\": 12025, \"source\": 3, \"target\": 6}, {\"weight\": 10100, \"source\": 3, \"target\": 5}, {\"weight\": 10331, \"source\": 3, \"target\": 8}, {\"weight\": 16661, \"source\": 3, \"target\": 7}, {\"weight\": 10848, \"source\": 4, \"target\": 6}, {\"weight\": 8010, \"source\": 4, \"target\": 5}, {\"weight\": 9007, \"source\": 4, \"target\": 8}, {\"weight\": 14250, \"source\": 4, \"target\": 7}, {\"weight\": 3472, \"source\": 5, \"target\": 6}, {\"weight\": 2739, \"source\": 5, \"target\": 8}, {\"weight\": 12177, \"source\": 5, \"target\": 7}, {\"weight\": 2419, \"source\": 6, \"target\": 8}, {\"weight\": 13580, \"source\": 6, \"target\": 7}, {\"weight\": 13936, \"source\": 7, \"target\": 8}]}", "id": 1319, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: NQU, KSF, IFN, BRC, GYN, YSB, YZT, MJD, ALS\n- Travel distances (in kilometers) between each pair of airports:\nNQU to GYN: 5506\nNQU to YZT: 7339\nNQU to BRC: 5822\nNQU to YSB: 5135\nNQU to IFN: 13407\nNQU to ALS: 5504\nNQU to MJD: 15415\nNQU to KSF: 10393\nKSF to GYN: 9699\nKSF to YZT: 10672\nKSF to BRC: 13153\nKSF to YSB: 8368\nKSF to IFN: 5119\nKSF to ALS: 10402\nKSF to MJD: 6378\nIFN to GYN: 12663\nIFN to YZT: 12451\nIFN to BRC: 15292\nIFN to YSB: 10773\nIFN to ALS: 12395\nIFN to MJD: 2372\nBRC to GYN: 3706\nBRC to YZT: 12025\nBRC to YSB: 10100\nBRC to ALS: 10331\nBRC to MJD: 16661\nGYN to YZT: 10848\nGYN to YSB: 8010\nGYN to ALS: 9007\nGYN to MJD: 14250\nYSB to YZT: 3472\nYSB to ALS: 2739\nYSB to MJD: 12177\nYZT to ALS: 2419\nYZT to MJD: 13580\nMJD to ALS: 13936\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: KSN, IBE, KKR, AAY, YAT, NGO, CCJ, YYJ, MYT\n- Travel distances (in kilometers) between each pair of airports:\nKSN to NGO: 6618\nKSN to YYJ: 10860\nKSN to CCJ: 5131\nKSN to IBE: 12806\nKSN to AAY: 6736\nKSN to KKR: 16684\nKSN to MYT: 6235\nKSN to YAT: 10288\nIBE to NGO: 14704\nIBE to YYJ: 6868\nIBE to CCJ: 16450\nIBE to AAY: 14223\nIBE to KKR: 12683\nIBE to MYT: 18366\nIBE to YAT: 5569\nKKR to NGO: 10142\nKKR to YYJ: 8661\nKKR to CCJ: 15852\nKKR to AAY: 20219\nKKR to MYT: 14794\nKKR to YAT: 11170\nAAY to NGO: 10139\nAAY to YYJ: 13967\nAAY to CCJ: 4862\nAAY to MYT: 7560\nAAY to YAT: 12824\nYAT to NGO: 11190\nYAT to YYJ: 3631\nYAT to CCJ: 14462\nYAT to MYT: 14977\nNGO to YYJ: 7902\nNGO to CCJ: 6762\nNGO to MYT: 4657\nCCJ to YYJ: 13988\nCCJ to MYT: 3820\nYYJ to MYT: 11883\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 60884, "style": "rule" }
{ "exact_answer": 60884, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"KSN\", \"id\": 0}, {\"name\": \"IBE\", \"id\": 1}, {\"name\": \"KKR\", \"id\": 2}, {\"name\": \"AAY\", \"id\": 3}, {\"name\": \"YAT\", \"id\": 4}, {\"name\": \"NGO\", \"id\": 5}, {\"name\": \"CCJ\", \"id\": 6}, {\"name\": \"YYJ\", \"id\": 7}, {\"name\": \"MYT\", \"id\": 8}], \"links\": [{\"weight\": 6618, \"source\": 0, \"target\": 5}, {\"weight\": 10860, \"source\": 0, \"target\": 7}, {\"weight\": 5131, \"source\": 0, \"target\": 6}, {\"weight\": 12806, \"source\": 0, \"target\": 1}, {\"weight\": 6736, \"source\": 0, \"target\": 3}, {\"weight\": 16684, \"source\": 0, \"target\": 2}, {\"weight\": 6235, \"source\": 0, \"target\": 8}, {\"weight\": 10288, \"source\": 0, \"target\": 4}, {\"weight\": 14704, \"source\": 1, \"target\": 5}, {\"weight\": 6868, \"source\": 1, \"target\": 7}, {\"weight\": 16450, \"source\": 1, \"target\": 6}, {\"weight\": 14223, \"source\": 1, \"target\": 3}, {\"weight\": 12683, \"source\": 1, \"target\": 2}, {\"weight\": 18366, \"source\": 1, \"target\": 8}, {\"weight\": 5569, \"source\": 1, \"target\": 4}, {\"weight\": 10142, \"source\": 2, \"target\": 5}, {\"weight\": 8661, \"source\": 2, \"target\": 7}, {\"weight\": 15852, \"source\": 2, \"target\": 6}, {\"weight\": 20219, \"source\": 2, \"target\": 3}, {\"weight\": 14794, \"source\": 2, \"target\": 8}, {\"weight\": 11170, \"source\": 2, \"target\": 4}, {\"weight\": 10139, \"source\": 3, \"target\": 5}, {\"weight\": 13967, \"source\": 3, \"target\": 7}, {\"weight\": 4862, \"source\": 3, \"target\": 6}, {\"weight\": 7560, \"source\": 3, \"target\": 8}, {\"weight\": 12824, \"source\": 3, \"target\": 4}, {\"weight\": 11190, \"source\": 4, \"target\": 5}, {\"weight\": 3631, \"source\": 4, \"target\": 7}, {\"weight\": 14462, \"source\": 4, \"target\": 6}, {\"weight\": 14977, \"source\": 4, \"target\": 8}, {\"weight\": 7902, \"source\": 5, \"target\": 7}, {\"weight\": 6762, \"source\": 5, \"target\": 6}, {\"weight\": 4657, \"source\": 5, \"target\": 8}, {\"weight\": 13988, \"source\": 6, \"target\": 7}, {\"weight\": 3820, \"source\": 6, \"target\": 8}, {\"weight\": 11883, \"source\": 7, \"target\": 8}]}", "id": 1320, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: KSN, IBE, KKR, AAY, YAT, NGO, CCJ, YYJ, MYT\n- Travel distances (in kilometers) between each pair of airports:\nKSN to NGO: 6618\nKSN to YYJ: 10860\nKSN to CCJ: 5131\nKSN to IBE: 12806\nKSN to AAY: 6736\nKSN to KKR: 16684\nKSN to MYT: 6235\nKSN to YAT: 10288\nIBE to NGO: 14704\nIBE to YYJ: 6868\nIBE to CCJ: 16450\nIBE to AAY: 14223\nIBE to KKR: 12683\nIBE to MYT: 18366\nIBE to YAT: 5569\nKKR to NGO: 10142\nKKR to YYJ: 8661\nKKR to CCJ: 15852\nKKR to AAY: 20219\nKKR to MYT: 14794\nKKR to YAT: 11170\nAAY to NGO: 10139\nAAY to YYJ: 13967\nAAY to CCJ: 4862\nAAY to MYT: 7560\nAAY to YAT: 12824\nYAT to NGO: 11190\nYAT to YYJ: 3631\nYAT to CCJ: 14462\nYAT to MYT: 14977\nNGO to YYJ: 7902\nNGO to CCJ: 6762\nNGO to MYT: 4657\nCCJ to YYJ: 13988\nCCJ to MYT: 3820\nYYJ to MYT: 11883\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: KOV, JAN, NUI, RFD, ISE, MED, ALA, TOE, MHC\n- Travel distances (in kilometers) between each pair of airports:\nKOV to ALA: 1236\nKOV to NUI: 14393\nKOV to JAN: 11306\nKOV to MED: 5262\nKOV to RFD: 12721\nKOV to MHC: 20376\nKOV to ISE: 4178\nKOV to TOE: 5354\nJAN to NUI: 6476\nJAN to ALA: 12229\nJAN to MED: 11766\nJAN to RFD: 3129\nJAN to MHC: 12086\nJAN to ISE: 10138\nJAN to TOE: 9108\nNUI to ALA: 15104\nNUI to MED: 15194\nNUI to RFD: 6886\nNUI to MHC: 17723\nNUI to ISE: 13476\nNUI to TOE: 12932\nRFD to ALA: 13644\nRFD to MED: 13185\nRFD to MHC: 12828\nRFD to ISE: 11483\nRFD to TOE: 10536\nISE to ALA: 4351\nISE to MED: 2522\nISE to MHC: 17722\nISE to TOE: 2420\nMED to ALA: 4026\nMED to MHC: 17667\nMED to TOE: 3491\nALA to MHC: 21269\nALA to TOE: 5967\nTOE to MHC: 16367\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 63065, "style": "rule" }
{ "exact_answer": 63065, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"KOV\", \"id\": 0}, {\"name\": \"JAN\", \"id\": 1}, {\"name\": \"NUI\", \"id\": 2}, {\"name\": \"RFD\", \"id\": 3}, {\"name\": \"ISE\", \"id\": 4}, {\"name\": \"MED\", \"id\": 5}, {\"name\": \"ALA\", \"id\": 6}, {\"name\": \"TOE\", \"id\": 7}, {\"name\": \"MHC\", \"id\": 8}], \"links\": [{\"weight\": 1236, \"source\": 0, \"target\": 6}, {\"weight\": 14393, \"source\": 0, \"target\": 2}, {\"weight\": 11306, \"source\": 0, \"target\": 1}, {\"weight\": 5262, \"source\": 0, \"target\": 5}, {\"weight\": 12721, \"source\": 0, \"target\": 3}, {\"weight\": 20376, \"source\": 0, \"target\": 8}, {\"weight\": 4178, \"source\": 0, \"target\": 4}, {\"weight\": 5354, \"source\": 0, \"target\": 7}, {\"weight\": 6476, \"source\": 1, \"target\": 2}, {\"weight\": 12229, \"source\": 1, \"target\": 6}, {\"weight\": 11766, \"source\": 1, \"target\": 5}, {\"weight\": 3129, \"source\": 1, \"target\": 3}, {\"weight\": 12086, \"source\": 1, \"target\": 8}, {\"weight\": 10138, \"source\": 1, \"target\": 4}, {\"weight\": 9108, \"source\": 1, \"target\": 7}, {\"weight\": 15104, \"source\": 2, \"target\": 6}, {\"weight\": 15194, \"source\": 2, \"target\": 5}, {\"weight\": 6886, \"source\": 2, \"target\": 3}, {\"weight\": 17723, \"source\": 2, \"target\": 8}, {\"weight\": 13476, \"source\": 2, \"target\": 4}, {\"weight\": 12932, \"source\": 2, \"target\": 7}, {\"weight\": 13644, \"source\": 3, \"target\": 6}, {\"weight\": 13185, \"source\": 3, \"target\": 5}, {\"weight\": 12828, \"source\": 3, \"target\": 8}, {\"weight\": 11483, \"source\": 3, \"target\": 4}, {\"weight\": 10536, \"source\": 3, \"target\": 7}, {\"weight\": 4351, \"source\": 4, \"target\": 6}, {\"weight\": 2522, \"source\": 4, \"target\": 5}, {\"weight\": 17722, \"source\": 4, \"target\": 8}, {\"weight\": 2420, \"source\": 4, \"target\": 7}, {\"weight\": 4026, \"source\": 5, \"target\": 6}, {\"weight\": 17667, \"source\": 5, \"target\": 8}, {\"weight\": 3491, \"source\": 5, \"target\": 7}, {\"weight\": 21269, \"source\": 6, \"target\": 8}, {\"weight\": 5967, \"source\": 6, \"target\": 7}, {\"weight\": 16367, \"source\": 7, \"target\": 8}]}", "id": 1321, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: KOV, JAN, NUI, RFD, ISE, MED, ALA, TOE, MHC\n- Travel distances (in kilometers) between each pair of airports:\nKOV to ALA: 1236\nKOV to NUI: 14393\nKOV to JAN: 11306\nKOV to MED: 5262\nKOV to RFD: 12721\nKOV to MHC: 20376\nKOV to ISE: 4178\nKOV to TOE: 5354\nJAN to NUI: 6476\nJAN to ALA: 12229\nJAN to MED: 11766\nJAN to RFD: 3129\nJAN to MHC: 12086\nJAN to ISE: 10138\nJAN to TOE: 9108\nNUI to ALA: 15104\nNUI to MED: 15194\nNUI to RFD: 6886\nNUI to MHC: 17723\nNUI to ISE: 13476\nNUI to TOE: 12932\nRFD to ALA: 13644\nRFD to MED: 13185\nRFD to MHC: 12828\nRFD to ISE: 11483\nRFD to TOE: 10536\nISE to ALA: 4351\nISE to MED: 2522\nISE to MHC: 17722\nISE to TOE: 2420\nMED to ALA: 4026\nMED to MHC: 17667\nMED to TOE: 3491\nALA to MHC: 21269\nALA to TOE: 5967\nTOE to MHC: 16367\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: HHH, MHQ, MAQ, BQB, TNJ, RYG, HKB, ASR, IQT\n- Travel distances (in kilometers) between each pair of airports:\nHHH to IQT: 4823\nHHH to MHQ: 7555\nHHH to MAQ: 15478\nHHH to RYG: 7291\nHHH to TNJ: 17839\nHHH to BQB: 19007\nHHH to ASR: 9789\nHHH to HKB: 6400\nMHQ to IQT: 11488\nMHQ to MAQ: 8804\nMHQ to RYG: 1173\nMHQ to TNJ: 11242\nMHQ to BQB: 13623\nMHQ to ASR: 2929\nMHQ to HKB: 10653\nMAQ to IQT: 19588\nMAQ to RYG: 9295\nMAQ to TNJ: 3523\nMAQ to BQB: 5935\nMAQ to ASR: 8418\nMAQ to HKB: 14950\nBQB to IQT: 18285\nBQB to RYG: 14145\nBQB to TNJ: 4048\nBQB to ASR: 12787\nBQB to HKB: 16369\nTNJ to IQT: 21143\nTNJ to RYG: 11763\nTNJ to ASR: 10858\nTNJ to HKB: 16889\nRYG to IQT: 10994\nRYG to ASR: 3008\nRYG to HKB: 10694\nHKB to IQT: 10027\nHKB to ASR: 13146\nASR to IQT: 13035\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 58601, "style": "rule" }
{ "exact_answer": 58601, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"HHH\", \"id\": 0}, {\"name\": \"MHQ\", \"id\": 1}, {\"name\": \"MAQ\", \"id\": 2}, {\"name\": \"BQB\", \"id\": 3}, {\"name\": \"TNJ\", \"id\": 4}, {\"name\": \"RYG\", \"id\": 5}, {\"name\": \"HKB\", \"id\": 6}, {\"name\": \"ASR\", \"id\": 7}, {\"name\": \"IQT\", \"id\": 8}], \"links\": [{\"weight\": 4823, \"source\": 0, \"target\": 8}, {\"weight\": 7555, \"source\": 0, \"target\": 1}, {\"weight\": 15478, \"source\": 0, \"target\": 2}, {\"weight\": 7291, \"source\": 0, \"target\": 5}, {\"weight\": 17839, \"source\": 0, \"target\": 4}, {\"weight\": 19007, \"source\": 0, \"target\": 3}, {\"weight\": 9789, \"source\": 0, \"target\": 7}, {\"weight\": 6400, \"source\": 0, \"target\": 6}, {\"weight\": 11488, \"source\": 1, \"target\": 8}, {\"weight\": 8804, \"source\": 1, \"target\": 2}, {\"weight\": 1173, \"source\": 1, \"target\": 5}, {\"weight\": 11242, \"source\": 1, \"target\": 4}, {\"weight\": 13623, \"source\": 1, \"target\": 3}, {\"weight\": 2929, \"source\": 1, \"target\": 7}, {\"weight\": 10653, \"source\": 1, \"target\": 6}, {\"weight\": 19588, \"source\": 2, \"target\": 8}, {\"weight\": 9295, \"source\": 2, \"target\": 5}, {\"weight\": 3523, \"source\": 2, \"target\": 4}, {\"weight\": 5935, \"source\": 2, \"target\": 3}, {\"weight\": 8418, \"source\": 2, \"target\": 7}, {\"weight\": 14950, \"source\": 2, \"target\": 6}, {\"weight\": 18285, \"source\": 3, \"target\": 8}, {\"weight\": 14145, \"source\": 3, \"target\": 5}, {\"weight\": 4048, \"source\": 3, \"target\": 4}, {\"weight\": 12787, \"source\": 3, \"target\": 7}, {\"weight\": 16369, \"source\": 3, \"target\": 6}, {\"weight\": 21143, \"source\": 4, \"target\": 8}, {\"weight\": 11763, \"source\": 4, \"target\": 5}, {\"weight\": 10858, \"source\": 4, \"target\": 7}, {\"weight\": 16889, \"source\": 4, \"target\": 6}, {\"weight\": 10994, \"source\": 5, \"target\": 8}, {\"weight\": 3008, \"source\": 5, \"target\": 7}, {\"weight\": 10694, \"source\": 5, \"target\": 6}, {\"weight\": 10027, \"source\": 6, \"target\": 8}, {\"weight\": 13146, \"source\": 6, \"target\": 7}, {\"weight\": 13035, \"source\": 7, \"target\": 8}]}", "id": 1322, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: HHH, MHQ, MAQ, BQB, TNJ, RYG, HKB, ASR, IQT\n- Travel distances (in kilometers) between each pair of airports:\nHHH to IQT: 4823\nHHH to MHQ: 7555\nHHH to MAQ: 15478\nHHH to RYG: 7291\nHHH to TNJ: 17839\nHHH to BQB: 19007\nHHH to ASR: 9789\nHHH to HKB: 6400\nMHQ to IQT: 11488\nMHQ to MAQ: 8804\nMHQ to RYG: 1173\nMHQ to TNJ: 11242\nMHQ to BQB: 13623\nMHQ to ASR: 2929\nMHQ to HKB: 10653\nMAQ to IQT: 19588\nMAQ to RYG: 9295\nMAQ to TNJ: 3523\nMAQ to BQB: 5935\nMAQ to ASR: 8418\nMAQ to HKB: 14950\nBQB to IQT: 18285\nBQB to RYG: 14145\nBQB to TNJ: 4048\nBQB to ASR: 12787\nBQB to HKB: 16369\nTNJ to IQT: 21143\nTNJ to RYG: 11763\nTNJ to ASR: 10858\nTNJ to HKB: 16889\nRYG to IQT: 10994\nRYG to ASR: 3008\nRYG to HKB: 10694\nHKB to IQT: 10027\nHKB to ASR: 13146\nASR to IQT: 13035\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CUM, YVO, BNS, MCY, VIG, PAF, YSK, DAU, PHX\n- Travel distances (in kilometers) between each pair of airports:\nCUM to YSK: 5537\nCUM to BNS: 729\nCUM to PAF: 13319\nCUM to PHX: 5572\nCUM to YVO: 4663\nCUM to DAU: 18886\nCUM to MCY: 17396\nCUM to VIG: 871\nYVO to YSK: 991\nYVO to BNS: 4766\nYVO to PAF: 12389\nYVO to PHX: 3933\nYVO to DAU: 16662\nYVO to MCY: 17207\nYVO to VIG: 4908\nBNS to YSK: 5640\nBNS to PAF: 13422\nBNS to PHX: 5675\nBNS to DAU: 18989\nBNS to MCY: 17499\nBNS to VIG: 974\nMCY to YSK: 16599\nMCY to PAF: 13876\nMCY to PHX: 13489\nMCY to DAU: 4031\nMCY to VIG: 17641\nVIG to YSK: 5782\nVIG to PAF: 13564\nVIG to PHX: 5817\nVIG to DAU: 19131\nPAF to YSK: 13139\nPAF to PHX: 15218\nPAF to DAU: 14008\nYSK to PHX: 3628\nYSK to DAU: 16054\nDAU to PHX: 13314\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 55770, "style": "rule" }
{ "exact_answer": 55770, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"CUM\", \"id\": 0}, {\"name\": \"YVO\", \"id\": 1}, {\"name\": \"BNS\", \"id\": 2}, {\"name\": \"MCY\", \"id\": 3}, {\"name\": \"VIG\", \"id\": 4}, {\"name\": \"PAF\", \"id\": 5}, {\"name\": \"YSK\", \"id\": 6}, {\"name\": \"DAU\", \"id\": 7}, {\"name\": \"PHX\", \"id\": 8}], \"links\": [{\"weight\": 5537, \"source\": 0, \"target\": 6}, {\"weight\": 729, \"source\": 0, \"target\": 2}, {\"weight\": 13319, \"source\": 0, \"target\": 5}, {\"weight\": 5572, \"source\": 0, \"target\": 8}, {\"weight\": 4663, \"source\": 0, \"target\": 1}, {\"weight\": 18886, \"source\": 0, \"target\": 7}, {\"weight\": 17396, \"source\": 0, \"target\": 3}, {\"weight\": 871, \"source\": 0, \"target\": 4}, {\"weight\": 991, \"source\": 1, \"target\": 6}, {\"weight\": 4766, \"source\": 1, \"target\": 2}, {\"weight\": 12389, \"source\": 1, \"target\": 5}, {\"weight\": 3933, \"source\": 1, \"target\": 8}, {\"weight\": 16662, \"source\": 1, \"target\": 7}, {\"weight\": 17207, \"source\": 1, \"target\": 3}, {\"weight\": 4908, \"source\": 1, \"target\": 4}, {\"weight\": 5640, \"source\": 2, \"target\": 6}, {\"weight\": 13422, \"source\": 2, \"target\": 5}, {\"weight\": 5675, \"source\": 2, \"target\": 8}, {\"weight\": 18989, \"source\": 2, \"target\": 7}, {\"weight\": 17499, \"source\": 2, \"target\": 3}, {\"weight\": 974, \"source\": 2, \"target\": 4}, {\"weight\": 16599, \"source\": 3, \"target\": 6}, {\"weight\": 13876, \"source\": 3, \"target\": 5}, {\"weight\": 13489, \"source\": 3, \"target\": 8}, {\"weight\": 4031, \"source\": 3, \"target\": 7}, {\"weight\": 17641, \"source\": 3, \"target\": 4}, {\"weight\": 5782, \"source\": 4, \"target\": 6}, {\"weight\": 13564, \"source\": 4, \"target\": 5}, {\"weight\": 5817, \"source\": 4, \"target\": 8}, {\"weight\": 19131, \"source\": 4, \"target\": 7}, {\"weight\": 13139, \"source\": 5, \"target\": 6}, {\"weight\": 15218, \"source\": 5, \"target\": 8}, {\"weight\": 14008, \"source\": 5, \"target\": 7}, {\"weight\": 3628, \"source\": 6, \"target\": 8}, {\"weight\": 16054, \"source\": 6, \"target\": 7}, {\"weight\": 13314, \"source\": 7, \"target\": 8}]}", "id": 1323, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CUM, YVO, BNS, MCY, VIG, PAF, YSK, DAU, PHX\n- Travel distances (in kilometers) between each pair of airports:\nCUM to YSK: 5537\nCUM to BNS: 729\nCUM to PAF: 13319\nCUM to PHX: 5572\nCUM to YVO: 4663\nCUM to DAU: 18886\nCUM to MCY: 17396\nCUM to VIG: 871\nYVO to YSK: 991\nYVO to BNS: 4766\nYVO to PAF: 12389\nYVO to PHX: 3933\nYVO to DAU: 16662\nYVO to MCY: 17207\nYVO to VIG: 4908\nBNS to YSK: 5640\nBNS to PAF: 13422\nBNS to PHX: 5675\nBNS to DAU: 18989\nBNS to MCY: 17499\nBNS to VIG: 974\nMCY to YSK: 16599\nMCY to PAF: 13876\nMCY to PHX: 13489\nMCY to DAU: 4031\nMCY to VIG: 17641\nVIG to YSK: 5782\nVIG to PAF: 13564\nVIG to PHX: 5817\nVIG to DAU: 19131\nPAF to YSK: 13139\nPAF to PHX: 15218\nPAF to DAU: 14008\nYSK to PHX: 3628\nYSK to DAU: 16054\nDAU to PHX: 13314\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SLW, SBZ, MUK, ZSE, FSC, PSP, WAE, OMR, DYR\n- Travel distances (in kilometers) between each pair of airports:\nSLW to FSC: 9675\nSLW to PSP: 2776\nSLW to ZSE: 18305\nSLW to OMR: 10993\nSLW to MUK: 10766\nSLW to SBZ: 10372\nSLW to DYR: 15961\nSLW to WAE: 13871\nSBZ to FSC: 1786\nSBZ to PSP: 10487\nSBZ to ZSE: 8782\nSBZ to OMR: 629\nSBZ to MUK: 18345\nSBZ to DYR: 8519\nSBZ to WAE: 3604\nMUK to FSC: 17895\nMUK to PSP: 7990\nMUK to ZSE: 14683\nMUK to OMR: 18818\nMUK to DYR: 15420\nMUK to WAE: 18644\nZSE to FSC: 9346\nZSE to PSP: 18695\nZSE to OMR: 8999\nZSE to DYR: 14149\nZSE to WAE: 6559\nFSC to PSP: 9996\nFSC to OMR: 2214\nFSC to DYR: 9050\nFSC to WAE: 4746\nPSP to OMR: 11090\nPSP to DYR: 13458\nPSP to WAE: 14013\nWAE to OMR: 3821\nWAE to DYR: 10438\nOMR to DYR: 8738\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 62805, "style": "rule" }
{ "exact_answer": 62805, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"SLW\", \"id\": 0}, {\"name\": \"SBZ\", \"id\": 1}, {\"name\": \"MUK\", \"id\": 2}, {\"name\": \"ZSE\", \"id\": 3}, {\"name\": \"FSC\", \"id\": 4}, {\"name\": \"PSP\", \"id\": 5}, {\"name\": \"WAE\", \"id\": 6}, {\"name\": \"OMR\", \"id\": 7}, {\"name\": \"DYR\", \"id\": 8}], \"links\": [{\"weight\": 9675, \"source\": 0, \"target\": 4}, {\"weight\": 2776, \"source\": 0, \"target\": 5}, {\"weight\": 18305, \"source\": 0, \"target\": 3}, {\"weight\": 10993, \"source\": 0, \"target\": 7}, {\"weight\": 10766, \"source\": 0, \"target\": 2}, {\"weight\": 10372, \"source\": 0, \"target\": 1}, {\"weight\": 15961, \"source\": 0, \"target\": 8}, {\"weight\": 13871, \"source\": 0, \"target\": 6}, {\"weight\": 1786, \"source\": 1, \"target\": 4}, {\"weight\": 10487, \"source\": 1, \"target\": 5}, {\"weight\": 8782, \"source\": 1, \"target\": 3}, {\"weight\": 629, \"source\": 1, \"target\": 7}, {\"weight\": 18345, \"source\": 1, \"target\": 2}, {\"weight\": 8519, \"source\": 1, \"target\": 8}, {\"weight\": 3604, \"source\": 1, \"target\": 6}, {\"weight\": 17895, \"source\": 2, \"target\": 4}, {\"weight\": 7990, \"source\": 2, \"target\": 5}, {\"weight\": 14683, \"source\": 2, \"target\": 3}, {\"weight\": 18818, \"source\": 2, \"target\": 7}, {\"weight\": 15420, \"source\": 2, \"target\": 8}, {\"weight\": 18644, \"source\": 2, \"target\": 6}, {\"weight\": 9346, \"source\": 3, \"target\": 4}, {\"weight\": 18695, \"source\": 3, \"target\": 5}, {\"weight\": 8999, \"source\": 3, \"target\": 7}, {\"weight\": 14149, \"source\": 3, \"target\": 8}, {\"weight\": 6559, \"source\": 3, \"target\": 6}, {\"weight\": 9996, \"source\": 4, \"target\": 5}, {\"weight\": 2214, \"source\": 4, \"target\": 7}, {\"weight\": 9050, \"source\": 4, \"target\": 8}, {\"weight\": 4746, \"source\": 4, \"target\": 6}, {\"weight\": 11090, \"source\": 5, \"target\": 7}, {\"weight\": 13458, \"source\": 5, \"target\": 8}, {\"weight\": 14013, \"source\": 5, \"target\": 6}, {\"weight\": 3821, \"source\": 6, \"target\": 7}, {\"weight\": 10438, \"source\": 6, \"target\": 8}, {\"weight\": 8738, \"source\": 7, \"target\": 8}]}", "id": 1324, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SLW, SBZ, MUK, ZSE, FSC, PSP, WAE, OMR, DYR\n- Travel distances (in kilometers) between each pair of airports:\nSLW to FSC: 9675\nSLW to PSP: 2776\nSLW to ZSE: 18305\nSLW to OMR: 10993\nSLW to MUK: 10766\nSLW to SBZ: 10372\nSLW to DYR: 15961\nSLW to WAE: 13871\nSBZ to FSC: 1786\nSBZ to PSP: 10487\nSBZ to ZSE: 8782\nSBZ to OMR: 629\nSBZ to MUK: 18345\nSBZ to DYR: 8519\nSBZ to WAE: 3604\nMUK to FSC: 17895\nMUK to PSP: 7990\nMUK to ZSE: 14683\nMUK to OMR: 18818\nMUK to DYR: 15420\nMUK to WAE: 18644\nZSE to FSC: 9346\nZSE to PSP: 18695\nZSE to OMR: 8999\nZSE to DYR: 14149\nZSE to WAE: 6559\nFSC to PSP: 9996\nFSC to OMR: 2214\nFSC to DYR: 9050\nFSC to WAE: 4746\nPSP to OMR: 11090\nPSP to DYR: 13458\nPSP to WAE: 14013\nWAE to OMR: 3821\nWAE to DYR: 10438\nOMR to DYR: 8738\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ETH, GXH, PRA, ISU, LTD, KSH, PBI, VDH, TNK\n- Travel distances (in kilometers) between each pair of airports:\nETH to PBI: 11018\nETH to GXH: 6975\nETH to TNK: 14511\nETH to PRA: 12968\nETH to KSH: 2752\nETH to ISU: 1344\nETH to LTD: 2846\nETH to VDH: 8209\nGXH to PBI: 13893\nGXH to TNK: 13325\nGXH to PRA: 19038\nGXH to KSH: 5666\nGXH to ISU: 5730\nGXH to LTD: 9170\nGXH to VDH: 2586\nPRA to PBI: 7891\nPRA to TNK: 14671\nPRA to KSH: 14393\nPRA to ISU: 13729\nPRA to LTD: 11957\nPRA to VDH: 19802\nISU to PBI: 11159\nISU to TNK: 14430\nISU to KSH: 2448\nISU to LTD: 3539\nISU to VDH: 6964\nLTD to PBI: 9555\nLTD to TNK: 13648\nLTD to KSH: 3886\nLTD to VDH: 10369\nKSH to PBI: 11447\nKSH to TNK: 14877\nKSH to VDH: 6900\nPBI to TNK: 7205\nPBI to VDH: 15151\nVDH to TNK: 14583\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 56502, "style": "rule" }
{ "exact_answer": 56502, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"ETH\", \"id\": 0}, {\"name\": \"GXH\", \"id\": 1}, {\"name\": \"PRA\", \"id\": 2}, {\"name\": \"ISU\", \"id\": 3}, {\"name\": \"LTD\", \"id\": 4}, {\"name\": \"KSH\", \"id\": 5}, {\"name\": \"PBI\", \"id\": 6}, {\"name\": \"VDH\", \"id\": 7}, {\"name\": \"TNK\", \"id\": 8}], \"links\": [{\"weight\": 11018, \"source\": 0, \"target\": 6}, {\"weight\": 6975, \"source\": 0, \"target\": 1}, {\"weight\": 14511, \"source\": 0, \"target\": 8}, {\"weight\": 12968, \"source\": 0, \"target\": 2}, {\"weight\": 2752, \"source\": 0, \"target\": 5}, {\"weight\": 1344, \"source\": 0, \"target\": 3}, {\"weight\": 2846, \"source\": 0, \"target\": 4}, {\"weight\": 8209, \"source\": 0, \"target\": 7}, {\"weight\": 13893, \"source\": 1, \"target\": 6}, {\"weight\": 13325, \"source\": 1, \"target\": 8}, {\"weight\": 19038, \"source\": 1, \"target\": 2}, {\"weight\": 5666, \"source\": 1, \"target\": 5}, {\"weight\": 5730, \"source\": 1, \"target\": 3}, {\"weight\": 9170, \"source\": 1, \"target\": 4}, {\"weight\": 2586, \"source\": 1, \"target\": 7}, {\"weight\": 7891, \"source\": 2, \"target\": 6}, {\"weight\": 14671, \"source\": 2, \"target\": 8}, {\"weight\": 14393, \"source\": 2, \"target\": 5}, {\"weight\": 13729, \"source\": 2, \"target\": 3}, {\"weight\": 11957, \"source\": 2, \"target\": 4}, {\"weight\": 19802, \"source\": 2, \"target\": 7}, {\"weight\": 11159, \"source\": 3, \"target\": 6}, {\"weight\": 14430, \"source\": 3, \"target\": 8}, {\"weight\": 2448, \"source\": 3, \"target\": 5}, {\"weight\": 3539, \"source\": 3, \"target\": 4}, {\"weight\": 6964, \"source\": 3, \"target\": 7}, {\"weight\": 9555, \"source\": 4, \"target\": 6}, {\"weight\": 13648, \"source\": 4, \"target\": 8}, {\"weight\": 3886, \"source\": 4, \"target\": 5}, {\"weight\": 10369, \"source\": 4, \"target\": 7}, {\"weight\": 11447, \"source\": 5, \"target\": 6}, {\"weight\": 14877, \"source\": 5, \"target\": 8}, {\"weight\": 6900, \"source\": 5, \"target\": 7}, {\"weight\": 7205, \"source\": 6, \"target\": 8}, {\"weight\": 15151, \"source\": 6, \"target\": 7}, {\"weight\": 14583, \"source\": 7, \"target\": 8}]}", "id": 1325, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ETH, GXH, PRA, ISU, LTD, KSH, PBI, VDH, TNK\n- Travel distances (in kilometers) between each pair of airports:\nETH to PBI: 11018\nETH to GXH: 6975\nETH to TNK: 14511\nETH to PRA: 12968\nETH to KSH: 2752\nETH to ISU: 1344\nETH to LTD: 2846\nETH to VDH: 8209\nGXH to PBI: 13893\nGXH to TNK: 13325\nGXH to PRA: 19038\nGXH to KSH: 5666\nGXH to ISU: 5730\nGXH to LTD: 9170\nGXH to VDH: 2586\nPRA to PBI: 7891\nPRA to TNK: 14671\nPRA to KSH: 14393\nPRA to ISU: 13729\nPRA to LTD: 11957\nPRA to VDH: 19802\nISU to PBI: 11159\nISU to TNK: 14430\nISU to KSH: 2448\nISU to LTD: 3539\nISU to VDH: 6964\nLTD to PBI: 9555\nLTD to TNK: 13648\nLTD to KSH: 3886\nLTD to VDH: 10369\nKSH to PBI: 11447\nKSH to TNK: 14877\nKSH to VDH: 6900\nPBI to TNK: 7205\nPBI to VDH: 15151\nVDH to TNK: 14583\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SNN, PRH, DEE, DBO, ART, MLL, LEQ, FLS, TCT\n- Travel distances (in kilometers) between each pair of airports:\nSNN to TCT: 10404\nSNN to MLL: 10676\nSNN to ART: 5557\nSNN to PRH: 10636\nSNN to DEE: 9895\nSNN to LEQ: 981\nSNN to DBO: 17738\nSNN to FLS: 18057\nPRH to TCT: 15163\nPRH to MLL: 15435\nPRH to ART: 15337\nPRH to DEE: 6222\nPRH to LEQ: 10618\nPRH to DBO: 8313\nPRH to FLS: 8490\nDEE to TCT: 11738\nDEE to MLL: 12010\nDEE to ART: 12713\nDEE to LEQ: 9997\nDEE to DBO: 9789\nDEE to FLS: 10473\nDBO to TCT: 13328\nDBO to MLL: 13600\nDBO to ART: 16161\nDBO to LEQ: 17839\nDBO to FLS: 1396\nART to TCT: 5934\nART to MLL: 6206\nART to LEQ: 6341\nART to FLS: 16939\nMLL to TCT: 414\nMLL to LEQ: 10967\nMLL to FLS: 14378\nLEQ to TCT: 10695\nLEQ to FLS: 18051\nFLS to TCT: 14106\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 52591, "style": "rule" }
{ "exact_answer": 52591, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"SNN\", \"id\": 0}, {\"name\": \"PRH\", \"id\": 1}, {\"name\": \"DEE\", \"id\": 2}, {\"name\": \"DBO\", \"id\": 3}, {\"name\": \"ART\", \"id\": 4}, {\"name\": \"MLL\", \"id\": 5}, {\"name\": \"LEQ\", \"id\": 6}, {\"name\": \"FLS\", \"id\": 7}, {\"name\": \"TCT\", \"id\": 8}], \"links\": [{\"weight\": 10404, \"source\": 0, \"target\": 8}, {\"weight\": 10676, \"source\": 0, \"target\": 5}, {\"weight\": 5557, \"source\": 0, \"target\": 4}, {\"weight\": 10636, \"source\": 0, \"target\": 1}, {\"weight\": 9895, \"source\": 0, \"target\": 2}, {\"weight\": 981, \"source\": 0, \"target\": 6}, {\"weight\": 17738, \"source\": 0, \"target\": 3}, {\"weight\": 18057, \"source\": 0, \"target\": 7}, {\"weight\": 15163, \"source\": 1, \"target\": 8}, {\"weight\": 15435, \"source\": 1, \"target\": 5}, {\"weight\": 15337, \"source\": 1, \"target\": 4}, {\"weight\": 6222, \"source\": 1, \"target\": 2}, {\"weight\": 10618, \"source\": 1, \"target\": 6}, {\"weight\": 8313, \"source\": 1, \"target\": 3}, {\"weight\": 8490, \"source\": 1, \"target\": 7}, {\"weight\": 11738, \"source\": 2, \"target\": 8}, {\"weight\": 12010, \"source\": 2, \"target\": 5}, {\"weight\": 12713, \"source\": 2, \"target\": 4}, {\"weight\": 9997, \"source\": 2, \"target\": 6}, {\"weight\": 9789, \"source\": 2, \"target\": 3}, {\"weight\": 10473, \"source\": 2, \"target\": 7}, {\"weight\": 13328, \"source\": 3, \"target\": 8}, {\"weight\": 13600, \"source\": 3, \"target\": 5}, {\"weight\": 16161, \"source\": 3, \"target\": 4}, {\"weight\": 17839, \"source\": 3, \"target\": 6}, {\"weight\": 1396, \"source\": 3, \"target\": 7}, {\"weight\": 5934, \"source\": 4, \"target\": 8}, {\"weight\": 6206, \"source\": 4, \"target\": 5}, {\"weight\": 6341, \"source\": 4, \"target\": 6}, {\"weight\": 16939, \"source\": 4, \"target\": 7}, {\"weight\": 414, \"source\": 5, \"target\": 8}, {\"weight\": 10967, \"source\": 5, \"target\": 6}, {\"weight\": 14378, \"source\": 5, \"target\": 7}, {\"weight\": 10695, \"source\": 6, \"target\": 8}, {\"weight\": 18051, \"source\": 6, \"target\": 7}, {\"weight\": 14106, \"source\": 7, \"target\": 8}]}", "id": 1326, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SNN, PRH, DEE, DBO, ART, MLL, LEQ, FLS, TCT\n- Travel distances (in kilometers) between each pair of airports:\nSNN to TCT: 10404\nSNN to MLL: 10676\nSNN to ART: 5557\nSNN to PRH: 10636\nSNN to DEE: 9895\nSNN to LEQ: 981\nSNN to DBO: 17738\nSNN to FLS: 18057\nPRH to TCT: 15163\nPRH to MLL: 15435\nPRH to ART: 15337\nPRH to DEE: 6222\nPRH to LEQ: 10618\nPRH to DBO: 8313\nPRH to FLS: 8490\nDEE to TCT: 11738\nDEE to MLL: 12010\nDEE to ART: 12713\nDEE to LEQ: 9997\nDEE to DBO: 9789\nDEE to FLS: 10473\nDBO to TCT: 13328\nDBO to MLL: 13600\nDBO to ART: 16161\nDBO to LEQ: 17839\nDBO to FLS: 1396\nART to TCT: 5934\nART to MLL: 6206\nART to LEQ: 6341\nART to FLS: 16939\nMLL to TCT: 414\nMLL to LEQ: 10967\nMLL to FLS: 14378\nLEQ to TCT: 10695\nLEQ to FLS: 18051\nFLS to TCT: 14106\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ETH, KAA, ARK, SZI, NER, YCU, LWY, BCI, MAJ\n- Travel distances (in kilometers) between each pair of airports:\nETH to YCU: 7231\nETH to SZI: 5174\nETH to LWY: 9357\nETH to MAJ: 14623\nETH to KAA: 5961\nETH to NER: 7678\nETH to ARK: 4982\nETH to BCI: 14230\nKAA to YCU: 10735\nKAA to SZI: 9550\nKAA to LWY: 11105\nKAA to MAJ: 17192\nKAA to NER: 12032\nKAA to ARK: 2688\nKAA to BCI: 14506\nARK to YCU: 9732\nARK to SZI: 8346\nARK to LWY: 10048\nARK to MAJ: 16226\nARK to NER: 10826\nARK to BCI: 13445\nSZI to YCU: 4256\nSZI to LWY: 7272\nSZI to MAJ: 11721\nSZI to NER: 5246\nSZI to BCI: 11940\nNER to YCU: 3633\nNER to LWY: 6377\nNER to MAJ: 8376\nNER to BCI: 9595\nYCU to LWY: 3431\nYCU to MAJ: 7509\nYCU to BCI: 8104\nLWY to MAJ: 7024\nLWY to BCI: 6192\nBCI to MAJ: 5192\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 51520, "style": "rule" }
{ "exact_answer": 51520, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"ETH\", \"id\": 0}, {\"name\": \"KAA\", \"id\": 1}, {\"name\": \"ARK\", \"id\": 2}, {\"name\": \"SZI\", \"id\": 3}, {\"name\": \"NER\", \"id\": 4}, {\"name\": \"YCU\", \"id\": 5}, {\"name\": \"LWY\", \"id\": 6}, {\"name\": \"BCI\", \"id\": 7}, {\"name\": \"MAJ\", \"id\": 8}], \"links\": [{\"weight\": 7231, \"source\": 0, \"target\": 5}, {\"weight\": 5174, \"source\": 0, \"target\": 3}, {\"weight\": 9357, \"source\": 0, \"target\": 6}, {\"weight\": 14623, \"source\": 0, \"target\": 8}, {\"weight\": 5961, \"source\": 0, \"target\": 1}, {\"weight\": 7678, \"source\": 0, \"target\": 4}, {\"weight\": 4982, \"source\": 0, \"target\": 2}, {\"weight\": 14230, \"source\": 0, \"target\": 7}, {\"weight\": 10735, \"source\": 1, \"target\": 5}, {\"weight\": 9550, \"source\": 1, \"target\": 3}, {\"weight\": 11105, \"source\": 1, \"target\": 6}, {\"weight\": 17192, \"source\": 1, \"target\": 8}, {\"weight\": 12032, \"source\": 1, \"target\": 4}, {\"weight\": 2688, \"source\": 1, \"target\": 2}, {\"weight\": 14506, \"source\": 1, \"target\": 7}, {\"weight\": 9732, \"source\": 2, \"target\": 5}, {\"weight\": 8346, \"source\": 2, \"target\": 3}, {\"weight\": 10048, \"source\": 2, \"target\": 6}, {\"weight\": 16226, \"source\": 2, \"target\": 8}, {\"weight\": 10826, \"source\": 2, \"target\": 4}, {\"weight\": 13445, \"source\": 2, \"target\": 7}, {\"weight\": 4256, \"source\": 3, \"target\": 5}, {\"weight\": 7272, \"source\": 3, \"target\": 6}, {\"weight\": 11721, \"source\": 3, \"target\": 8}, {\"weight\": 5246, \"source\": 3, \"target\": 4}, {\"weight\": 11940, \"source\": 3, \"target\": 7}, {\"weight\": 3633, \"source\": 4, \"target\": 5}, {\"weight\": 6377, \"source\": 4, \"target\": 6}, {\"weight\": 8376, \"source\": 4, \"target\": 8}, {\"weight\": 9595, \"source\": 4, \"target\": 7}, {\"weight\": 3431, \"source\": 5, \"target\": 6}, {\"weight\": 7509, \"source\": 5, \"target\": 8}, {\"weight\": 8104, \"source\": 5, \"target\": 7}, {\"weight\": 7024, \"source\": 6, \"target\": 8}, {\"weight\": 6192, \"source\": 6, \"target\": 7}, {\"weight\": 5192, \"source\": 7, \"target\": 8}]}", "id": 1327, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ETH, KAA, ARK, SZI, NER, YCU, LWY, BCI, MAJ\n- Travel distances (in kilometers) between each pair of airports:\nETH to YCU: 7231\nETH to SZI: 5174\nETH to LWY: 9357\nETH to MAJ: 14623\nETH to KAA: 5961\nETH to NER: 7678\nETH to ARK: 4982\nETH to BCI: 14230\nKAA to YCU: 10735\nKAA to SZI: 9550\nKAA to LWY: 11105\nKAA to MAJ: 17192\nKAA to NER: 12032\nKAA to ARK: 2688\nKAA to BCI: 14506\nARK to YCU: 9732\nARK to SZI: 8346\nARK to LWY: 10048\nARK to MAJ: 16226\nARK to NER: 10826\nARK to BCI: 13445\nSZI to YCU: 4256\nSZI to LWY: 7272\nSZI to MAJ: 11721\nSZI to NER: 5246\nSZI to BCI: 11940\nNER to YCU: 3633\nNER to LWY: 6377\nNER to MAJ: 8376\nNER to BCI: 9595\nYCU to LWY: 3431\nYCU to MAJ: 7509\nYCU to BCI: 8104\nLWY to MAJ: 7024\nLWY to BCI: 6192\nBCI to MAJ: 5192\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: MSP, DAL, YBG, LRS, SYD, LWB, KJA, RMT, TMS\n- Travel distances (in kilometers) between each pair of airports:\nMSP to LWB: 1741\nMSP to SYD: 14500\nMSP to KJA: 11554\nMSP to LRS: 9129\nMSP to YBG: 1904\nMSP to DAL: 1373\nMSP to TMS: 10945\nMSP to RMT: 9734\nDAL to LWB: 1750\nDAL to SYD: 14079\nDAL to KJA: 12392\nDAL to LRS: 10317\nDAL to YBG: 2815\nDAL to TMS: 11657\nDAL to RMT: 9286\nYBG to LWB: 1450\nYBG to SYD: 16404\nYBG to KJA: 10958\nYBG to LRS: 7838\nYBG to TMS: 9930\nYBG to RMT: 11619\nLRS to LWB: 8844\nLRS to SYD: 15422\nLRS to KJA: 5597\nLRS to TMS: 7718\nLRS to RMT: 18664\nSYD to LWB: 15575\nSYD to KJA: 11468\nSYD to TMS: 14768\nSYD to RMT: 6783\nLWB to KJA: 11073\nLWB to TMS: 10088\nLWB to RMT: 10985\nKJA to TMS: 11719\nKJA to RMT: 14335\nRMT to TMS: 19045\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 55346, "style": "rule" }
{ "exact_answer": 55346, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"MSP\", \"id\": 0}, {\"name\": \"DAL\", \"id\": 1}, {\"name\": \"YBG\", \"id\": 2}, {\"name\": \"LRS\", \"id\": 3}, {\"name\": \"SYD\", \"id\": 4}, {\"name\": \"LWB\", \"id\": 5}, {\"name\": \"KJA\", \"id\": 6}, {\"name\": \"RMT\", \"id\": 7}, {\"name\": \"TMS\", \"id\": 8}], \"links\": [{\"weight\": 1741, \"source\": 0, \"target\": 5}, {\"weight\": 14500, \"source\": 0, \"target\": 4}, {\"weight\": 11554, \"source\": 0, \"target\": 6}, {\"weight\": 9129, \"source\": 0, \"target\": 3}, {\"weight\": 1904, \"source\": 0, \"target\": 2}, {\"weight\": 1373, \"source\": 0, \"target\": 1}, {\"weight\": 10945, \"source\": 0, \"target\": 8}, {\"weight\": 9734, \"source\": 0, \"target\": 7}, {\"weight\": 1750, \"source\": 1, \"target\": 5}, {\"weight\": 14079, \"source\": 1, \"target\": 4}, {\"weight\": 12392, \"source\": 1, \"target\": 6}, {\"weight\": 10317, \"source\": 1, \"target\": 3}, {\"weight\": 2815, \"source\": 1, \"target\": 2}, {\"weight\": 11657, \"source\": 1, \"target\": 8}, {\"weight\": 9286, \"source\": 1, \"target\": 7}, {\"weight\": 1450, \"source\": 2, \"target\": 5}, {\"weight\": 16404, \"source\": 2, \"target\": 4}, {\"weight\": 10958, \"source\": 2, \"target\": 6}, {\"weight\": 7838, \"source\": 2, \"target\": 3}, {\"weight\": 9930, \"source\": 2, \"target\": 8}, {\"weight\": 11619, \"source\": 2, \"target\": 7}, {\"weight\": 8844, \"source\": 3, \"target\": 5}, {\"weight\": 15422, \"source\": 3, \"target\": 4}, {\"weight\": 5597, \"source\": 3, \"target\": 6}, {\"weight\": 7718, \"source\": 3, \"target\": 8}, {\"weight\": 18664, \"source\": 3, \"target\": 7}, {\"weight\": 15575, \"source\": 4, \"target\": 5}, {\"weight\": 11468, \"source\": 4, \"target\": 6}, {\"weight\": 14768, \"source\": 4, \"target\": 8}, {\"weight\": 6783, \"source\": 4, \"target\": 7}, {\"weight\": 11073, \"source\": 5, \"target\": 6}, {\"weight\": 10088, \"source\": 5, \"target\": 8}, {\"weight\": 10985, \"source\": 5, \"target\": 7}, {\"weight\": 11719, \"source\": 6, \"target\": 8}, {\"weight\": 14335, \"source\": 6, \"target\": 7}, {\"weight\": 19045, \"source\": 7, \"target\": 8}]}", "id": 1328, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: MSP, DAL, YBG, LRS, SYD, LWB, KJA, RMT, TMS\n- Travel distances (in kilometers) between each pair of airports:\nMSP to LWB: 1741\nMSP to SYD: 14500\nMSP to KJA: 11554\nMSP to LRS: 9129\nMSP to YBG: 1904\nMSP to DAL: 1373\nMSP to TMS: 10945\nMSP to RMT: 9734\nDAL to LWB: 1750\nDAL to SYD: 14079\nDAL to KJA: 12392\nDAL to LRS: 10317\nDAL to YBG: 2815\nDAL to TMS: 11657\nDAL to RMT: 9286\nYBG to LWB: 1450\nYBG to SYD: 16404\nYBG to KJA: 10958\nYBG to LRS: 7838\nYBG to TMS: 9930\nYBG to RMT: 11619\nLRS to LWB: 8844\nLRS to SYD: 15422\nLRS to KJA: 5597\nLRS to TMS: 7718\nLRS to RMT: 18664\nSYD to LWB: 15575\nSYD to KJA: 11468\nSYD to TMS: 14768\nSYD to RMT: 6783\nLWB to KJA: 11073\nLWB to TMS: 10088\nLWB to RMT: 10985\nKJA to TMS: 11719\nKJA to RMT: 14335\nRMT to TMS: 19045\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CIK, SJW, PAG, EGN, CND, LGW, HOE, KYK, DHB\n- Travel distances (in kilometers) between each pair of airports:\nCIK to KYK: 1220\nCIK to LGW: 10484\nCIK to SJW: 11780\nCIK to PAG: 13952\nCIK to EGN: 16581\nCIK to DHB: 2893\nCIK to HOE: 14548\nCIK to CND: 13013\nSJW to KYK: 11892\nSJW to LGW: 8588\nSJW to PAG: 3505\nSJW to EGN: 9503\nSJW to DHB: 9197\nSJW to HOE: 2939\nSJW to CND: 7448\nPAG to KYK: 14064\nPAG to LGW: 11569\nPAG to EGN: 11386\nPAG to DHB: 11369\nPAG to HOE: 3360\nPAG to CND: 10322\nEGN to KYK: 16693\nEGN to LGW: 6226\nEGN to DHB: 13998\nEGN to HOE: 9273\nEGN to CND: 4334\nCND to KYK: 13125\nCND to LGW: 2802\nCND to DHB: 10430\nCND to HOE: 8525\nLGW to KYK: 10596\nLGW to DHB: 7901\nLGW to HOE: 10021\nHOE to KYK: 14660\nHOE to DHB: 11965\nKYK to DHB: 3005\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 47180, "style": "rule" }
{ "exact_answer": 47180, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"CIK\", \"id\": 0}, {\"name\": \"SJW\", \"id\": 1}, {\"name\": \"PAG\", \"id\": 2}, {\"name\": \"EGN\", \"id\": 3}, {\"name\": \"CND\", \"id\": 4}, {\"name\": \"LGW\", \"id\": 5}, {\"name\": \"HOE\", \"id\": 6}, {\"name\": \"KYK\", \"id\": 7}, {\"name\": \"DHB\", \"id\": 8}], \"links\": [{\"weight\": 1220, \"source\": 0, \"target\": 7}, {\"weight\": 10484, \"source\": 0, \"target\": 5}, {\"weight\": 11780, \"source\": 0, \"target\": 1}, {\"weight\": 13952, \"source\": 0, \"target\": 2}, {\"weight\": 16581, \"source\": 0, \"target\": 3}, {\"weight\": 2893, \"source\": 0, \"target\": 8}, {\"weight\": 14548, \"source\": 0, \"target\": 6}, {\"weight\": 13013, \"source\": 0, \"target\": 4}, {\"weight\": 11892, \"source\": 1, \"target\": 7}, {\"weight\": 8588, \"source\": 1, \"target\": 5}, {\"weight\": 3505, \"source\": 1, \"target\": 2}, {\"weight\": 9503, \"source\": 1, \"target\": 3}, {\"weight\": 9197, \"source\": 1, \"target\": 8}, {\"weight\": 2939, \"source\": 1, \"target\": 6}, {\"weight\": 7448, \"source\": 1, \"target\": 4}, {\"weight\": 14064, \"source\": 2, \"target\": 7}, {\"weight\": 11569, \"source\": 2, \"target\": 5}, {\"weight\": 11386, \"source\": 2, \"target\": 3}, {\"weight\": 11369, \"source\": 2, \"target\": 8}, {\"weight\": 3360, \"source\": 2, \"target\": 6}, {\"weight\": 10322, \"source\": 2, \"target\": 4}, {\"weight\": 16693, \"source\": 3, \"target\": 7}, {\"weight\": 6226, \"source\": 3, \"target\": 5}, {\"weight\": 13998, \"source\": 3, \"target\": 8}, {\"weight\": 9273, \"source\": 3, \"target\": 6}, {\"weight\": 4334, \"source\": 3, \"target\": 4}, {\"weight\": 13125, \"source\": 4, \"target\": 7}, {\"weight\": 2802, \"source\": 4, \"target\": 5}, {\"weight\": 10430, \"source\": 4, \"target\": 8}, {\"weight\": 8525, \"source\": 4, \"target\": 6}, {\"weight\": 10596, \"source\": 5, \"target\": 7}, {\"weight\": 7901, \"source\": 5, \"target\": 8}, {\"weight\": 10021, \"source\": 5, \"target\": 6}, {\"weight\": 14660, \"source\": 6, \"target\": 7}, {\"weight\": 11965, \"source\": 6, \"target\": 8}, {\"weight\": 3005, \"source\": 7, \"target\": 8}]}", "id": 1329, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CIK, SJW, PAG, EGN, CND, LGW, HOE, KYK, DHB\n- Travel distances (in kilometers) between each pair of airports:\nCIK to KYK: 1220\nCIK to LGW: 10484\nCIK to SJW: 11780\nCIK to PAG: 13952\nCIK to EGN: 16581\nCIK to DHB: 2893\nCIK to HOE: 14548\nCIK to CND: 13013\nSJW to KYK: 11892\nSJW to LGW: 8588\nSJW to PAG: 3505\nSJW to EGN: 9503\nSJW to DHB: 9197\nSJW to HOE: 2939\nSJW to CND: 7448\nPAG to KYK: 14064\nPAG to LGW: 11569\nPAG to EGN: 11386\nPAG to DHB: 11369\nPAG to HOE: 3360\nPAG to CND: 10322\nEGN to KYK: 16693\nEGN to LGW: 6226\nEGN to DHB: 13998\nEGN to HOE: 9273\nEGN to CND: 4334\nCND to KYK: 13125\nCND to LGW: 2802\nCND to DHB: 10430\nCND to HOE: 8525\nLGW to KYK: 10596\nLGW to DHB: 7901\nLGW to HOE: 10021\nHOE to KYK: 14660\nHOE to DHB: 11965\nKYK to DHB: 3005\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: FYU, ASU, ERC, PRH, BYN, BIM, CDC, CZX, IQT\n- Travel distances (in kilometers) between each pair of airports:\nFYU to IQT: 10138\nFYU to BIM: 7153\nFYU to CZX: 12024\nFYU to ASU: 13048\nFYU to PRH: 15152\nFYU to CDC: 4151\nFYU to BYN: 13030\nFYU to ERC: 13554\nASU to IQT: 3535\nASU to BIM: 6480\nASU to CZX: 19541\nASU to PRH: 18667\nASU to CDC: 9624\nASU to BYN: 18046\nASU to ERC: 12616\nERC to IQT: 13328\nERC to BIM: 10731\nERC to CZX: 8215\nERC to PRH: 8181\nERC to CDC: 11651\nERC to BYN: 7140\nPRH to IQT: 19679\nPRH to BIM: 16347\nPRH to CZX: 3280\nPRH to CDC: 13908\nPRH to BYN: 5446\nBYN to IQT: 17543\nBYN to BIM: 14225\nBYN to CZX: 2612\nBYN to CDC: 11791\nBIM to IQT: 3570\nBIM to CZX: 13513\nBIM to CDC: 3819\nCDC to IQT: 6714\nCDC to CZX: 10768\nCZX to IQT: 16736\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 54794, "style": "rule" }
{ "exact_answer": 54794, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"FYU\", \"id\": 0}, {\"name\": \"ASU\", \"id\": 1}, {\"name\": \"ERC\", \"id\": 2}, {\"name\": \"PRH\", \"id\": 3}, {\"name\": \"BYN\", \"id\": 4}, {\"name\": \"BIM\", \"id\": 5}, {\"name\": \"CDC\", \"id\": 6}, {\"name\": \"CZX\", \"id\": 7}, {\"name\": \"IQT\", \"id\": 8}], \"links\": [{\"weight\": 10138, \"source\": 0, \"target\": 8}, {\"weight\": 7153, \"source\": 0, \"target\": 5}, {\"weight\": 12024, \"source\": 0, \"target\": 7}, {\"weight\": 13048, \"source\": 0, \"target\": 1}, {\"weight\": 15152, \"source\": 0, \"target\": 3}, {\"weight\": 4151, \"source\": 0, \"target\": 6}, {\"weight\": 13030, \"source\": 0, \"target\": 4}, {\"weight\": 13554, \"source\": 0, \"target\": 2}, {\"weight\": 3535, \"source\": 1, \"target\": 8}, {\"weight\": 6480, \"source\": 1, \"target\": 5}, {\"weight\": 19541, \"source\": 1, \"target\": 7}, {\"weight\": 18667, \"source\": 1, \"target\": 3}, {\"weight\": 9624, \"source\": 1, \"target\": 6}, {\"weight\": 18046, \"source\": 1, \"target\": 4}, {\"weight\": 12616, \"source\": 1, \"target\": 2}, {\"weight\": 13328, \"source\": 2, \"target\": 8}, {\"weight\": 10731, \"source\": 2, \"target\": 5}, {\"weight\": 8215, \"source\": 2, \"target\": 7}, {\"weight\": 8181, \"source\": 2, \"target\": 3}, {\"weight\": 11651, \"source\": 2, \"target\": 6}, {\"weight\": 7140, \"source\": 2, \"target\": 4}, {\"weight\": 19679, \"source\": 3, \"target\": 8}, {\"weight\": 16347, \"source\": 3, \"target\": 5}, {\"weight\": 3280, \"source\": 3, \"target\": 7}, {\"weight\": 13908, \"source\": 3, \"target\": 6}, {\"weight\": 5446, \"source\": 3, \"target\": 4}, {\"weight\": 17543, \"source\": 4, \"target\": 8}, {\"weight\": 14225, \"source\": 4, \"target\": 5}, {\"weight\": 2612, \"source\": 4, \"target\": 7}, {\"weight\": 11791, \"source\": 4, \"target\": 6}, {\"weight\": 3570, \"source\": 5, \"target\": 8}, {\"weight\": 13513, \"source\": 5, \"target\": 7}, {\"weight\": 3819, \"source\": 5, \"target\": 6}, {\"weight\": 6714, \"source\": 6, \"target\": 8}, {\"weight\": 10768, \"source\": 6, \"target\": 7}, {\"weight\": 16736, \"source\": 7, \"target\": 8}]}", "id": 1330, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: FYU, ASU, ERC, PRH, BYN, BIM, CDC, CZX, IQT\n- Travel distances (in kilometers) between each pair of airports:\nFYU to IQT: 10138\nFYU to BIM: 7153\nFYU to CZX: 12024\nFYU to ASU: 13048\nFYU to PRH: 15152\nFYU to CDC: 4151\nFYU to BYN: 13030\nFYU to ERC: 13554\nASU to IQT: 3535\nASU to BIM: 6480\nASU to CZX: 19541\nASU to PRH: 18667\nASU to CDC: 9624\nASU to BYN: 18046\nASU to ERC: 12616\nERC to IQT: 13328\nERC to BIM: 10731\nERC to CZX: 8215\nERC to PRH: 8181\nERC to CDC: 11651\nERC to BYN: 7140\nPRH to IQT: 19679\nPRH to BIM: 16347\nPRH to CZX: 3280\nPRH to CDC: 13908\nPRH to BYN: 5446\nBYN to IQT: 17543\nBYN to BIM: 14225\nBYN to CZX: 2612\nBYN to CDC: 11791\nBIM to IQT: 3570\nBIM to CZX: 13513\nBIM to CDC: 3819\nCDC to IQT: 6714\nCDC to CZX: 10768\nCZX to IQT: 16736\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TLM, MSJ, ETZ, MOD, NLA, XIL, KLG, GHB, KYU\n- Travel distances (in kilometers) between each pair of airports:\nTLM to GHB: 8658\nTLM to KLG: 12501\nTLM to KYU: 12551\nTLM to ETZ: 1684\nTLM to XIL: 9932\nTLM to NLA: 7376\nTLM to MSJ: 11790\nTLM to MOD: 10661\nMSJ to GHB: 13057\nMSJ to KLG: 11177\nMSJ to KYU: 11227\nMSJ to ETZ: 10865\nMSJ to XIL: 3110\nMSJ to NLA: 13364\nMSJ to MOD: 8999\nETZ to GHB: 8222\nETZ to KLG: 11707\nETZ to KYU: 11757\nETZ to XIL: 9101\nETZ to NLA: 8222\nETZ to MOD: 9861\nMOD to GHB: 4666\nMOD to KLG: 4039\nMOD to KYU: 4145\nMOD to XIL: 10049\nMOD to NLA: 16286\nNLA to GHB: 13695\nNLA to KLG: 18256\nNLA to KYU: 18588\nNLA to XIL: 11047\nXIL to GHB: 13178\nXIL to KLG: 11986\nXIL to KYU: 12036\nKLG to GHB: 7339\nKLG to KYU: 1436\nGHB to KYU: 7671\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 52807, "style": "rule" }
{ "exact_answer": 52807, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"TLM\", \"id\": 0}, {\"name\": \"MSJ\", \"id\": 1}, {\"name\": \"ETZ\", \"id\": 2}, {\"name\": \"MOD\", \"id\": 3}, {\"name\": \"NLA\", \"id\": 4}, {\"name\": \"XIL\", \"id\": 5}, {\"name\": \"KLG\", \"id\": 6}, {\"name\": \"GHB\", \"id\": 7}, {\"name\": \"KYU\", \"id\": 8}], \"links\": [{\"weight\": 8658, \"source\": 0, \"target\": 7}, {\"weight\": 12501, \"source\": 0, \"target\": 6}, {\"weight\": 12551, \"source\": 0, \"target\": 8}, {\"weight\": 1684, \"source\": 0, \"target\": 2}, {\"weight\": 9932, \"source\": 0, \"target\": 5}, {\"weight\": 7376, \"source\": 0, \"target\": 4}, {\"weight\": 11790, \"source\": 0, \"target\": 1}, {\"weight\": 10661, \"source\": 0, \"target\": 3}, {\"weight\": 13057, \"source\": 1, \"target\": 7}, {\"weight\": 11177, \"source\": 1, \"target\": 6}, {\"weight\": 11227, \"source\": 1, \"target\": 8}, {\"weight\": 10865, \"source\": 1, \"target\": 2}, {\"weight\": 3110, \"source\": 1, \"target\": 5}, {\"weight\": 13364, \"source\": 1, \"target\": 4}, {\"weight\": 8999, \"source\": 1, \"target\": 3}, {\"weight\": 8222, \"source\": 2, \"target\": 7}, {\"weight\": 11707, \"source\": 2, \"target\": 6}, {\"weight\": 11757, \"source\": 2, \"target\": 8}, {\"weight\": 9101, \"source\": 2, \"target\": 5}, {\"weight\": 8222, \"source\": 2, \"target\": 4}, {\"weight\": 9861, \"source\": 2, \"target\": 3}, {\"weight\": 4666, \"source\": 3, \"target\": 7}, {\"weight\": 4039, \"source\": 3, \"target\": 6}, {\"weight\": 4145, \"source\": 3, \"target\": 8}, {\"weight\": 10049, \"source\": 3, \"target\": 5}, {\"weight\": 16286, \"source\": 3, \"target\": 4}, {\"weight\": 13695, \"source\": 4, \"target\": 7}, {\"weight\": 18256, \"source\": 4, \"target\": 6}, {\"weight\": 18588, \"source\": 4, \"target\": 8}, {\"weight\": 11047, \"source\": 4, \"target\": 5}, {\"weight\": 13178, \"source\": 5, \"target\": 7}, {\"weight\": 11986, \"source\": 5, \"target\": 6}, {\"weight\": 12036, \"source\": 5, \"target\": 8}, {\"weight\": 7339, \"source\": 6, \"target\": 7}, {\"weight\": 1436, \"source\": 6, \"target\": 8}, {\"weight\": 7671, \"source\": 7, \"target\": 8}]}", "id": 1331, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TLM, MSJ, ETZ, MOD, NLA, XIL, KLG, GHB, KYU\n- Travel distances (in kilometers) between each pair of airports:\nTLM to GHB: 8658\nTLM to KLG: 12501\nTLM to KYU: 12551\nTLM to ETZ: 1684\nTLM to XIL: 9932\nTLM to NLA: 7376\nTLM to MSJ: 11790\nTLM to MOD: 10661\nMSJ to GHB: 13057\nMSJ to KLG: 11177\nMSJ to KYU: 11227\nMSJ to ETZ: 10865\nMSJ to XIL: 3110\nMSJ to NLA: 13364\nMSJ to MOD: 8999\nETZ to GHB: 8222\nETZ to KLG: 11707\nETZ to KYU: 11757\nETZ to XIL: 9101\nETZ to NLA: 8222\nETZ to MOD: 9861\nMOD to GHB: 4666\nMOD to KLG: 4039\nMOD to KYU: 4145\nMOD to XIL: 10049\nMOD to NLA: 16286\nNLA to GHB: 13695\nNLA to KLG: 18256\nNLA to KYU: 18588\nNLA to XIL: 11047\nXIL to GHB: 13178\nXIL to KLG: 11986\nXIL to KYU: 12036\nKLG to GHB: 7339\nKLG to KYU: 1436\nGHB to KYU: 7671\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: EZS, YAT, LSI, TOL, ESL, MCM, HAC, PQS, BSD\n- Travel distances (in kilometers) between each pair of airports:\nEZS to PQS: 13895\nEZS to ESL: 3720\nEZS to TOL: 10053\nEZS to LSI: 4109\nEZS to BSD: 7731\nEZS to HAC: 9876\nEZS to YAT: 9763\nEZS to MCM: 2744\nYAT to PQS: 6645\nYAT to ESL: 9738\nYAT to TOL: 2130\nYAT to LSI: 6853\nYAT to BSD: 14124\nYAT to HAC: 11406\nYAT to MCM: 7301\nLSI to PQS: 10655\nLSI to ESL: 3850\nLSI to TOL: 6807\nLSI to BSD: 9497\nLSI to HAC: 10211\nLSI to MCM: 1975\nTOL to PQS: 5600\nTOL to ESL: 9631\nTOL to BSD: 13379\nTOL to HAC: 11002\nTOL to MCM: 7687\nESL to PQS: 13306\nESL to BSD: 8084\nESL to HAC: 9169\nESL to MCM: 3656\nMCM to PQS: 11773\nMCM to BSD: 9226\nMCM to HAC: 10275\nHAC to PQS: 10997\nHAC to BSD: 4354\nPQS to BSD: 14169\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 46457, "style": "rule" }
{ "exact_answer": 46457, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"EZS\", \"id\": 0}, {\"name\": \"YAT\", \"id\": 1}, {\"name\": \"LSI\", \"id\": 2}, {\"name\": \"TOL\", \"id\": 3}, {\"name\": \"ESL\", \"id\": 4}, {\"name\": \"MCM\", \"id\": 5}, {\"name\": \"HAC\", \"id\": 6}, {\"name\": \"PQS\", \"id\": 7}, {\"name\": \"BSD\", \"id\": 8}], \"links\": [{\"weight\": 13895, \"source\": 0, \"target\": 7}, {\"weight\": 3720, \"source\": 0, \"target\": 4}, {\"weight\": 10053, \"source\": 0, \"target\": 3}, {\"weight\": 4109, \"source\": 0, \"target\": 2}, {\"weight\": 7731, \"source\": 0, \"target\": 8}, {\"weight\": 9876, \"source\": 0, \"target\": 6}, {\"weight\": 9763, \"source\": 0, \"target\": 1}, {\"weight\": 2744, \"source\": 0, \"target\": 5}, {\"weight\": 6645, \"source\": 1, \"target\": 7}, {\"weight\": 9738, \"source\": 1, \"target\": 4}, {\"weight\": 2130, \"source\": 1, \"target\": 3}, {\"weight\": 6853, \"source\": 1, \"target\": 2}, {\"weight\": 14124, \"source\": 1, \"target\": 8}, {\"weight\": 11406, \"source\": 1, \"target\": 6}, {\"weight\": 7301, \"source\": 1, \"target\": 5}, {\"weight\": 10655, \"source\": 2, \"target\": 7}, {\"weight\": 3850, \"source\": 2, \"target\": 4}, {\"weight\": 6807, \"source\": 2, \"target\": 3}, {\"weight\": 9497, \"source\": 2, \"target\": 8}, {\"weight\": 10211, \"source\": 2, \"target\": 6}, {\"weight\": 1975, \"source\": 2, \"target\": 5}, {\"weight\": 5600, \"source\": 3, \"target\": 7}, {\"weight\": 9631, \"source\": 3, \"target\": 4}, {\"weight\": 13379, \"source\": 3, \"target\": 8}, {\"weight\": 11002, \"source\": 3, \"target\": 6}, {\"weight\": 7687, \"source\": 3, \"target\": 5}, {\"weight\": 13306, \"source\": 4, \"target\": 7}, {\"weight\": 8084, \"source\": 4, \"target\": 8}, {\"weight\": 9169, \"source\": 4, \"target\": 6}, {\"weight\": 3656, \"source\": 4, \"target\": 5}, {\"weight\": 11773, \"source\": 5, \"target\": 7}, {\"weight\": 9226, \"source\": 5, \"target\": 8}, {\"weight\": 10275, \"source\": 5, \"target\": 6}, {\"weight\": 10997, \"source\": 6, \"target\": 7}, {\"weight\": 4354, \"source\": 6, \"target\": 8}, {\"weight\": 14169, \"source\": 7, \"target\": 8}]}", "id": 1332, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: EZS, YAT, LSI, TOL, ESL, MCM, HAC, PQS, BSD\n- Travel distances (in kilometers) between each pair of airports:\nEZS to PQS: 13895\nEZS to ESL: 3720\nEZS to TOL: 10053\nEZS to LSI: 4109\nEZS to BSD: 7731\nEZS to HAC: 9876\nEZS to YAT: 9763\nEZS to MCM: 2744\nYAT to PQS: 6645\nYAT to ESL: 9738\nYAT to TOL: 2130\nYAT to LSI: 6853\nYAT to BSD: 14124\nYAT to HAC: 11406\nYAT to MCM: 7301\nLSI to PQS: 10655\nLSI to ESL: 3850\nLSI to TOL: 6807\nLSI to BSD: 9497\nLSI to HAC: 10211\nLSI to MCM: 1975\nTOL to PQS: 5600\nTOL to ESL: 9631\nTOL to BSD: 13379\nTOL to HAC: 11002\nTOL to MCM: 7687\nESL to PQS: 13306\nESL to BSD: 8084\nESL to HAC: 9169\nESL to MCM: 3656\nMCM to PQS: 11773\nMCM to BSD: 9226\nMCM to HAC: 10275\nHAC to PQS: 10997\nHAC to BSD: 4354\nPQS to BSD: 14169\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: MLY, TLT, XBE, KGD, YIC, APO, SAT, NOC, KYK\n- Travel distances (in kilometers) between each pair of airports:\nMLY to KGD: 11319\nMLY to KYK: 1075\nMLY to SAT: 5447\nMLY to TLT: 1247\nMLY to YIC: 12652\nMLY to APO: 9439\nMLY to NOC: 10492\nMLY to XBE: 5330\nTLT to KGD: 11748\nTLT to KYK: 1222\nTLT to SAT: 5839\nTLT to YIC: 13081\nTLT to APO: 9779\nTLT to NOC: 10921\nTLT to XBE: 5759\nXBE to KGD: 8697\nXBE to KYK: 5587\nXBE to SAT: 3223\nXBE to YIC: 12556\nXBE to APO: 6405\nXBE to NOC: 7497\nKGD to KYK: 11576\nKGD to SAT: 9303\nKGD to YIC: 8231\nKGD to APO: 10391\nKGD to NOC: 2044\nYIC to KYK: 12909\nYIC to SAT: 12902\nYIC to APO: 16672\nYIC to NOC: 9922\nAPO to KYK: 9607\nAPO to SAT: 4029\nAPO to NOC: 9307\nSAT to KYK: 5667\nSAT to NOC: 8182\nNOC to KYK: 10749\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 47542, "style": "rule" }
{ "exact_answer": 47542, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"MLY\", \"id\": 0}, {\"name\": \"TLT\", \"id\": 1}, {\"name\": \"XBE\", \"id\": 2}, {\"name\": \"KGD\", \"id\": 3}, {\"name\": \"YIC\", \"id\": 4}, {\"name\": \"APO\", \"id\": 5}, {\"name\": \"SAT\", \"id\": 6}, {\"name\": \"NOC\", \"id\": 7}, {\"name\": \"KYK\", \"id\": 8}], \"links\": [{\"weight\": 11319, \"source\": 0, \"target\": 3}, {\"weight\": 1075, \"source\": 0, \"target\": 8}, {\"weight\": 5447, \"source\": 0, \"target\": 6}, {\"weight\": 1247, \"source\": 0, \"target\": 1}, {\"weight\": 12652, \"source\": 0, \"target\": 4}, {\"weight\": 9439, \"source\": 0, \"target\": 5}, {\"weight\": 10492, \"source\": 0, \"target\": 7}, {\"weight\": 5330, \"source\": 0, \"target\": 2}, {\"weight\": 11748, \"source\": 1, \"target\": 3}, {\"weight\": 1222, \"source\": 1, \"target\": 8}, {\"weight\": 5839, \"source\": 1, \"target\": 6}, {\"weight\": 13081, \"source\": 1, \"target\": 4}, {\"weight\": 9779, \"source\": 1, \"target\": 5}, {\"weight\": 10921, \"source\": 1, \"target\": 7}, {\"weight\": 5759, \"source\": 1, \"target\": 2}, {\"weight\": 8697, \"source\": 2, \"target\": 3}, {\"weight\": 5587, \"source\": 2, \"target\": 8}, {\"weight\": 3223, \"source\": 2, \"target\": 6}, {\"weight\": 12556, \"source\": 2, \"target\": 4}, {\"weight\": 6405, \"source\": 2, \"target\": 5}, {\"weight\": 7497, \"source\": 2, \"target\": 7}, {\"weight\": 11576, \"source\": 3, \"target\": 8}, {\"weight\": 9303, \"source\": 3, \"target\": 6}, {\"weight\": 8231, \"source\": 3, \"target\": 4}, {\"weight\": 10391, \"source\": 3, \"target\": 5}, {\"weight\": 2044, \"source\": 3, \"target\": 7}, {\"weight\": 12909, \"source\": 4, \"target\": 8}, {\"weight\": 12902, \"source\": 4, \"target\": 6}, {\"weight\": 16672, \"source\": 4, \"target\": 5}, {\"weight\": 9922, \"source\": 4, \"target\": 7}, {\"weight\": 9607, \"source\": 5, \"target\": 8}, {\"weight\": 4029, \"source\": 5, \"target\": 6}, {\"weight\": 9307, \"source\": 5, \"target\": 7}, {\"weight\": 5667, \"source\": 6, \"target\": 8}, {\"weight\": 8182, \"source\": 6, \"target\": 7}, {\"weight\": 10749, \"source\": 7, \"target\": 8}]}", "id": 1333, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: MLY, TLT, XBE, KGD, YIC, APO, SAT, NOC, KYK\n- Travel distances (in kilometers) between each pair of airports:\nMLY to KGD: 11319\nMLY to KYK: 1075\nMLY to SAT: 5447\nMLY to TLT: 1247\nMLY to YIC: 12652\nMLY to APO: 9439\nMLY to NOC: 10492\nMLY to XBE: 5330\nTLT to KGD: 11748\nTLT to KYK: 1222\nTLT to SAT: 5839\nTLT to YIC: 13081\nTLT to APO: 9779\nTLT to NOC: 10921\nTLT to XBE: 5759\nXBE to KGD: 8697\nXBE to KYK: 5587\nXBE to SAT: 3223\nXBE to YIC: 12556\nXBE to APO: 6405\nXBE to NOC: 7497\nKGD to KYK: 11576\nKGD to SAT: 9303\nKGD to YIC: 8231\nKGD to APO: 10391\nKGD to NOC: 2044\nYIC to KYK: 12909\nYIC to SAT: 12902\nYIC to APO: 16672\nYIC to NOC: 9922\nAPO to KYK: 9607\nAPO to SAT: 4029\nAPO to NOC: 9307\nSAT to KYK: 5667\nSAT to NOC: 8182\nNOC to KYK: 10749\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TKG, AXU, LOS, TVF, OTP, BPL, AUS, BOO, VLL\n- Travel distances (in kilometers) between each pair of airports:\nTKG to LOS: 12239\nTKG to TVF: 16111\nTKG to OTP: 9793\nTKG to AUS: 16528\nTKG to BOO: 11312\nTKG to AXU: 9006\nTKG to VLL: 12158\nTKG to BPL: 6508\nAXU to LOS: 4490\nAXU to TVF: 13458\nAXU to OTP: 4720\nAXU to AUS: 14221\nAXU to BOO: 7487\nAXU to VLL: 6479\nAXU to BPL: 7145\nLOS to TVF: 10625\nLOS to OTP: 5005\nLOS to AUS: 10693\nLOS to BOO: 6798\nLOS to VLL: 4484\nLOS to BPL: 9492\nTVF to OTP: 8997\nTVF to AUS: 2207\nTVF to BOO: 7872\nTVF to VLL: 8543\nTVF to BPL: 13255\nOTP to AUS: 9946\nOTP to BOO: 2768\nOTP to VLL: 2558\nOTP to BPL: 5609\nBPL to AUS: 13819\nBPL to BOO: 6323\nBPL to VLL: 7764\nAUS to BOO: 8445\nAUS to VLL: 9170\nBOO to VLL: 3560\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 52060, "style": "rule" }
{ "exact_answer": 52060, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"TKG\", \"id\": 0}, {\"name\": \"AXU\", \"id\": 1}, {\"name\": \"LOS\", \"id\": 2}, {\"name\": \"TVF\", \"id\": 3}, {\"name\": \"OTP\", \"id\": 4}, {\"name\": \"BPL\", \"id\": 5}, {\"name\": \"AUS\", \"id\": 6}, {\"name\": \"BOO\", \"id\": 7}, {\"name\": \"VLL\", \"id\": 8}], \"links\": [{\"weight\": 12239, \"source\": 0, \"target\": 2}, {\"weight\": 16111, \"source\": 0, \"target\": 3}, {\"weight\": 9793, \"source\": 0, \"target\": 4}, {\"weight\": 16528, \"source\": 0, \"target\": 6}, {\"weight\": 11312, \"source\": 0, \"target\": 7}, {\"weight\": 9006, \"source\": 0, \"target\": 1}, {\"weight\": 12158, \"source\": 0, \"target\": 8}, {\"weight\": 6508, \"source\": 0, \"target\": 5}, {\"weight\": 4490, \"source\": 1, \"target\": 2}, {\"weight\": 13458, \"source\": 1, \"target\": 3}, {\"weight\": 4720, \"source\": 1, \"target\": 4}, {\"weight\": 14221, \"source\": 1, \"target\": 6}, {\"weight\": 7487, \"source\": 1, \"target\": 7}, {\"weight\": 6479, \"source\": 1, \"target\": 8}, {\"weight\": 7145, \"source\": 1, \"target\": 5}, {\"weight\": 10625, \"source\": 2, \"target\": 3}, {\"weight\": 5005, \"source\": 2, \"target\": 4}, {\"weight\": 10693, \"source\": 2, \"target\": 6}, {\"weight\": 6798, \"source\": 2, \"target\": 7}, {\"weight\": 4484, \"source\": 2, \"target\": 8}, {\"weight\": 9492, \"source\": 2, \"target\": 5}, {\"weight\": 8997, \"source\": 3, \"target\": 4}, {\"weight\": 2207, \"source\": 3, \"target\": 6}, {\"weight\": 7872, \"source\": 3, \"target\": 7}, {\"weight\": 8543, \"source\": 3, \"target\": 8}, {\"weight\": 13255, \"source\": 3, \"target\": 5}, {\"weight\": 9946, \"source\": 4, \"target\": 6}, {\"weight\": 2768, \"source\": 4, \"target\": 7}, {\"weight\": 2558, \"source\": 4, \"target\": 8}, {\"weight\": 5609, \"source\": 4, \"target\": 5}, {\"weight\": 13819, \"source\": 5, \"target\": 6}, {\"weight\": 6323, \"source\": 5, \"target\": 7}, {\"weight\": 7764, \"source\": 5, \"target\": 8}, {\"weight\": 8445, \"source\": 6, \"target\": 7}, {\"weight\": 9170, \"source\": 6, \"target\": 8}, {\"weight\": 3560, \"source\": 7, \"target\": 8}]}", "id": 1334, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TKG, AXU, LOS, TVF, OTP, BPL, AUS, BOO, VLL\n- Travel distances (in kilometers) between each pair of airports:\nTKG to LOS: 12239\nTKG to TVF: 16111\nTKG to OTP: 9793\nTKG to AUS: 16528\nTKG to BOO: 11312\nTKG to AXU: 9006\nTKG to VLL: 12158\nTKG to BPL: 6508\nAXU to LOS: 4490\nAXU to TVF: 13458\nAXU to OTP: 4720\nAXU to AUS: 14221\nAXU to BOO: 7487\nAXU to VLL: 6479\nAXU to BPL: 7145\nLOS to TVF: 10625\nLOS to OTP: 5005\nLOS to AUS: 10693\nLOS to BOO: 6798\nLOS to VLL: 4484\nLOS to BPL: 9492\nTVF to OTP: 8997\nTVF to AUS: 2207\nTVF to BOO: 7872\nTVF to VLL: 8543\nTVF to BPL: 13255\nOTP to AUS: 9946\nOTP to BOO: 2768\nOTP to VLL: 2558\nOTP to BPL: 5609\nBPL to AUS: 13819\nBPL to BOO: 6323\nBPL to VLL: 7764\nAUS to BOO: 8445\nAUS to VLL: 9170\nBOO to VLL: 3560\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LOE, HEL, OGD, KGP, LNJ, FAR, PBI, KDM, MYJ\n- Travel distances (in kilometers) between each pair of airports:\nLOE to PBI: 16121\nLOE to HEL: 8553\nLOE to FAR: 14871\nLOE to LNJ: 1962\nLOE to OGD: 15056\nLOE to MYJ: 4376\nLOE to KDM: 4257\nLOE to KGP: 7715\nHEL to PBI: 8247\nHEL to FAR: 8060\nHEL to LNJ: 7603\nHEL to OGD: 10421\nHEL to MYJ: 7727\nHEL to KDM: 7876\nHEL to KGP: 3070\nOGD to PBI: 4369\nOGD to FAR: 2840\nOGD to LNJ: 13808\nOGD to MYJ: 10920\nOGD to KDM: 17682\nOGD to KGP: 13491\nKGP to PBI: 11317\nKGP to FAR: 11130\nKGP to LNJ: 6634\nKGP to MYJ: 6940\nKGP to KDM: 7583\nLNJ to PBI: 14812\nLNJ to FAR: 13567\nLNJ to MYJ: 3350\nLNJ to KDM: 4627\nFAR to PBI: 2684\nFAR to MYJ: 10643\nFAR to KDM: 15665\nPBI to MYJ: 12612\nPBI to KDM: 16087\nKDM to MYJ: 7340\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 44913, "style": "rule" }
{ "exact_answer": 44913, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"LOE\", \"id\": 0}, {\"name\": \"HEL\", \"id\": 1}, {\"name\": \"OGD\", \"id\": 2}, {\"name\": \"KGP\", \"id\": 3}, {\"name\": \"LNJ\", \"id\": 4}, {\"name\": \"FAR\", \"id\": 5}, {\"name\": \"PBI\", \"id\": 6}, {\"name\": \"KDM\", \"id\": 7}, {\"name\": \"MYJ\", \"id\": 8}], \"links\": [{\"weight\": 16121, \"source\": 0, \"target\": 6}, {\"weight\": 8553, \"source\": 0, \"target\": 1}, {\"weight\": 14871, \"source\": 0, \"target\": 5}, {\"weight\": 1962, \"source\": 0, \"target\": 4}, {\"weight\": 15056, \"source\": 0, \"target\": 2}, {\"weight\": 4376, \"source\": 0, \"target\": 8}, {\"weight\": 4257, \"source\": 0, \"target\": 7}, {\"weight\": 7715, \"source\": 0, \"target\": 3}, {\"weight\": 8247, \"source\": 1, \"target\": 6}, {\"weight\": 8060, \"source\": 1, \"target\": 5}, {\"weight\": 7603, \"source\": 1, \"target\": 4}, {\"weight\": 10421, \"source\": 1, \"target\": 2}, {\"weight\": 7727, \"source\": 1, \"target\": 8}, {\"weight\": 7876, \"source\": 1, \"target\": 7}, {\"weight\": 3070, \"source\": 1, \"target\": 3}, {\"weight\": 4369, \"source\": 2, \"target\": 6}, {\"weight\": 2840, \"source\": 2, \"target\": 5}, {\"weight\": 13808, \"source\": 2, \"target\": 4}, {\"weight\": 10920, \"source\": 2, \"target\": 8}, {\"weight\": 17682, \"source\": 2, \"target\": 7}, {\"weight\": 13491, \"source\": 2, \"target\": 3}, {\"weight\": 11317, \"source\": 3, \"target\": 6}, {\"weight\": 11130, \"source\": 3, \"target\": 5}, {\"weight\": 6634, \"source\": 3, \"target\": 4}, {\"weight\": 6940, \"source\": 3, \"target\": 8}, {\"weight\": 7583, \"source\": 3, \"target\": 7}, {\"weight\": 14812, \"source\": 4, \"target\": 6}, {\"weight\": 13567, \"source\": 4, \"target\": 5}, {\"weight\": 3350, \"source\": 4, \"target\": 8}, {\"weight\": 4627, \"source\": 4, \"target\": 7}, {\"weight\": 2684, \"source\": 5, \"target\": 6}, {\"weight\": 10643, \"source\": 5, \"target\": 8}, {\"weight\": 15665, \"source\": 5, \"target\": 7}, {\"weight\": 12612, \"source\": 6, \"target\": 8}, {\"weight\": 16087, \"source\": 6, \"target\": 7}, {\"weight\": 7340, \"source\": 7, \"target\": 8}]}", "id": 1335, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LOE, HEL, OGD, KGP, LNJ, FAR, PBI, KDM, MYJ\n- Travel distances (in kilometers) between each pair of airports:\nLOE to PBI: 16121\nLOE to HEL: 8553\nLOE to FAR: 14871\nLOE to LNJ: 1962\nLOE to OGD: 15056\nLOE to MYJ: 4376\nLOE to KDM: 4257\nLOE to KGP: 7715\nHEL to PBI: 8247\nHEL to FAR: 8060\nHEL to LNJ: 7603\nHEL to OGD: 10421\nHEL to MYJ: 7727\nHEL to KDM: 7876\nHEL to KGP: 3070\nOGD to PBI: 4369\nOGD to FAR: 2840\nOGD to LNJ: 13808\nOGD to MYJ: 10920\nOGD to KDM: 17682\nOGD to KGP: 13491\nKGP to PBI: 11317\nKGP to FAR: 11130\nKGP to LNJ: 6634\nKGP to MYJ: 6940\nKGP to KDM: 7583\nLNJ to PBI: 14812\nLNJ to FAR: 13567\nLNJ to MYJ: 3350\nLNJ to KDM: 4627\nFAR to PBI: 2684\nFAR to MYJ: 10643\nFAR to KDM: 15665\nPBI to MYJ: 12612\nPBI to KDM: 16087\nKDM to MYJ: 7340\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: AOQ, DMK, WBQ, PHL, GYN, SOQ, DAU, DWC, JER\n- Travel distances (in kilometers) between each pair of airports:\nAOQ to DWC: 8977\nAOQ to GYN: 13157\nAOQ to WBQ: 10861\nAOQ to PHL: 6720\nAOQ to JER: 4477\nAOQ to DMK: 12890\nAOQ to DAU: 18173\nAOQ to SOQ: 17123\nDMK to DWC: 5013\nDMK to GYN: 17657\nDMK to WBQ: 14626\nDMK to PHL: 14409\nDMK to JER: 9822\nDMK to DAU: 6579\nDMK to SOQ: 4512\nWBQ to DWC: 15255\nWBQ to GYN: 12983\nWBQ to PHL: 6207\nWBQ to JER: 10506\nWBQ to DAU: 14001\nWBQ to SOQ: 17052\nPHL to DWC: 11179\nPHL to GYN: 7126\nPHL to JER: 5787\nPHL to DAU: 16374\nPHL to SOQ: 17453\nGYN to DWC: 12834\nGYN to JER: 9170\nGYN to DAU: 17899\nGYN to SOQ: 19972\nSOQ to DWC: 8918\nSOQ to JER: 14126\nSOQ to DAU: 5957\nDAU to DWC: 11226\nDAU to JER: 15376\nDWC to JER: 5601\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 65440, "style": "rule" }
{ "exact_answer": 65440, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"AOQ\", \"id\": 0}, {\"name\": \"DMK\", \"id\": 1}, {\"name\": \"WBQ\", \"id\": 2}, {\"name\": \"PHL\", \"id\": 3}, {\"name\": \"GYN\", \"id\": 4}, {\"name\": \"SOQ\", \"id\": 5}, {\"name\": \"DAU\", \"id\": 6}, {\"name\": \"DWC\", \"id\": 7}, {\"name\": \"JER\", \"id\": 8}], \"links\": [{\"weight\": 8977, \"source\": 0, \"target\": 7}, {\"weight\": 13157, \"source\": 0, \"target\": 4}, {\"weight\": 10861, \"source\": 0, \"target\": 2}, {\"weight\": 6720, \"source\": 0, \"target\": 3}, {\"weight\": 4477, \"source\": 0, \"target\": 8}, {\"weight\": 12890, \"source\": 0, \"target\": 1}, {\"weight\": 18173, \"source\": 0, \"target\": 6}, {\"weight\": 17123, \"source\": 0, \"target\": 5}, {\"weight\": 5013, \"source\": 1, \"target\": 7}, {\"weight\": 17657, \"source\": 1, \"target\": 4}, {\"weight\": 14626, \"source\": 1, \"target\": 2}, {\"weight\": 14409, \"source\": 1, \"target\": 3}, {\"weight\": 9822, \"source\": 1, \"target\": 8}, {\"weight\": 6579, \"source\": 1, \"target\": 6}, {\"weight\": 4512, \"source\": 1, \"target\": 5}, {\"weight\": 15255, \"source\": 2, \"target\": 7}, {\"weight\": 12983, \"source\": 2, \"target\": 4}, {\"weight\": 6207, \"source\": 2, \"target\": 3}, {\"weight\": 10506, \"source\": 2, \"target\": 8}, {\"weight\": 14001, \"source\": 2, \"target\": 6}, {\"weight\": 17052, \"source\": 2, \"target\": 5}, {\"weight\": 11179, \"source\": 3, \"target\": 7}, {\"weight\": 7126, \"source\": 3, \"target\": 4}, {\"weight\": 5787, \"source\": 3, \"target\": 8}, {\"weight\": 16374, \"source\": 3, \"target\": 6}, {\"weight\": 17453, \"source\": 3, \"target\": 5}, {\"weight\": 12834, \"source\": 4, \"target\": 7}, {\"weight\": 9170, \"source\": 4, \"target\": 8}, {\"weight\": 17899, \"source\": 4, \"target\": 6}, {\"weight\": 19972, \"source\": 4, \"target\": 5}, {\"weight\": 8918, \"source\": 5, \"target\": 7}, {\"weight\": 14126, \"source\": 5, \"target\": 8}, {\"weight\": 5957, \"source\": 5, \"target\": 6}, {\"weight\": 11226, \"source\": 6, \"target\": 7}, {\"weight\": 15376, \"source\": 6, \"target\": 8}, {\"weight\": 5601, \"source\": 7, \"target\": 8}]}", "id": 1336, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: AOQ, DMK, WBQ, PHL, GYN, SOQ, DAU, DWC, JER\n- Travel distances (in kilometers) between each pair of airports:\nAOQ to DWC: 8977\nAOQ to GYN: 13157\nAOQ to WBQ: 10861\nAOQ to PHL: 6720\nAOQ to JER: 4477\nAOQ to DMK: 12890\nAOQ to DAU: 18173\nAOQ to SOQ: 17123\nDMK to DWC: 5013\nDMK to GYN: 17657\nDMK to WBQ: 14626\nDMK to PHL: 14409\nDMK to JER: 9822\nDMK to DAU: 6579\nDMK to SOQ: 4512\nWBQ to DWC: 15255\nWBQ to GYN: 12983\nWBQ to PHL: 6207\nWBQ to JER: 10506\nWBQ to DAU: 14001\nWBQ to SOQ: 17052\nPHL to DWC: 11179\nPHL to GYN: 7126\nPHL to JER: 5787\nPHL to DAU: 16374\nPHL to SOQ: 17453\nGYN to DWC: 12834\nGYN to JER: 9170\nGYN to DAU: 17899\nGYN to SOQ: 19972\nSOQ to DWC: 8918\nSOQ to JER: 14126\nSOQ to DAU: 5957\nDAU to DWC: 11226\nDAU to JER: 15376\nDWC to JER: 5601\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: KVD, CBS, BFF, POR, JCB, VIJ, CLL, KEF, FRU\n- Travel distances (in kilometers) between each pair of airports:\nKVD to POR: 2894\nKVD to FRU: 2404\nKVD to VIJ: 10684\nKVD to CLL: 11394\nKVD to KEF: 5125\nKVD to JCB: 12686\nKVD to CBS: 11656\nKVD to BFF: 11092\nCBS to POR: 9722\nCBS to FRU: 13528\nCBS to VIJ: 1517\nCBS to CLL: 4231\nCBS to KEF: 7903\nCBS to JCB: 5524\nCBS to BFF: 5656\nBFF to POR: 8401\nBFF to FRU: 12201\nBFF to VIJ: 4798\nBFF to CLL: 1537\nBFF to KEF: 5967\nBFF to JCB: 9899\nPOR to FRU: 4003\nPOR to VIJ: 8634\nPOR to CLL: 8701\nPOR to KEF: 2434\nPOR to JCB: 11863\nJCB to FRU: 14942\nJCB to VIJ: 5849\nJCB to CLL: 8577\nJCB to KEF: 11845\nVIJ to FRU: 12316\nVIJ to CLL: 3505\nVIJ to KEF: 6663\nCLL to FRU: 12582\nCLL to KEF: 6348\nKEF to FRU: 6234\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 39577, "style": "rule" }
{ "exact_answer": 39577, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"KVD\", \"id\": 0}, {\"name\": \"CBS\", \"id\": 1}, {\"name\": \"BFF\", \"id\": 2}, {\"name\": \"POR\", \"id\": 3}, {\"name\": \"JCB\", \"id\": 4}, {\"name\": \"VIJ\", \"id\": 5}, {\"name\": \"CLL\", \"id\": 6}, {\"name\": \"KEF\", \"id\": 7}, {\"name\": \"FRU\", \"id\": 8}], \"links\": [{\"weight\": 2894, \"source\": 0, \"target\": 3}, {\"weight\": 2404, \"source\": 0, \"target\": 8}, {\"weight\": 10684, \"source\": 0, \"target\": 5}, {\"weight\": 11394, \"source\": 0, \"target\": 6}, {\"weight\": 5125, \"source\": 0, \"target\": 7}, {\"weight\": 12686, \"source\": 0, \"target\": 4}, {\"weight\": 11656, \"source\": 0, \"target\": 1}, {\"weight\": 11092, \"source\": 0, \"target\": 2}, {\"weight\": 9722, \"source\": 1, \"target\": 3}, {\"weight\": 13528, \"source\": 1, \"target\": 8}, {\"weight\": 1517, \"source\": 1, \"target\": 5}, {\"weight\": 4231, \"source\": 1, \"target\": 6}, {\"weight\": 7903, \"source\": 1, \"target\": 7}, {\"weight\": 5524, \"source\": 1, \"target\": 4}, {\"weight\": 5656, \"source\": 1, \"target\": 2}, {\"weight\": 8401, \"source\": 2, \"target\": 3}, {\"weight\": 12201, \"source\": 2, \"target\": 8}, {\"weight\": 4798, \"source\": 2, \"target\": 5}, {\"weight\": 1537, \"source\": 2, \"target\": 6}, {\"weight\": 5967, \"source\": 2, \"target\": 7}, {\"weight\": 9899, \"source\": 2, \"target\": 4}, {\"weight\": 4003, \"source\": 3, \"target\": 8}, {\"weight\": 8634, \"source\": 3, \"target\": 5}, {\"weight\": 8701, \"source\": 3, \"target\": 6}, {\"weight\": 2434, \"source\": 3, \"target\": 7}, {\"weight\": 11863, \"source\": 3, \"target\": 4}, {\"weight\": 14942, \"source\": 4, \"target\": 8}, {\"weight\": 5849, \"source\": 4, \"target\": 5}, {\"weight\": 8577, \"source\": 4, \"target\": 6}, {\"weight\": 11845, \"source\": 4, \"target\": 7}, {\"weight\": 12316, \"source\": 5, \"target\": 8}, {\"weight\": 3505, \"source\": 5, \"target\": 6}, {\"weight\": 6663, \"source\": 5, \"target\": 7}, {\"weight\": 12582, \"source\": 6, \"target\": 8}, {\"weight\": 6348, \"source\": 6, \"target\": 7}, {\"weight\": 6234, \"source\": 7, \"target\": 8}]}", "id": 1337, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: KVD, CBS, BFF, POR, JCB, VIJ, CLL, KEF, FRU\n- Travel distances (in kilometers) between each pair of airports:\nKVD to POR: 2894\nKVD to FRU: 2404\nKVD to VIJ: 10684\nKVD to CLL: 11394\nKVD to KEF: 5125\nKVD to JCB: 12686\nKVD to CBS: 11656\nKVD to BFF: 11092\nCBS to POR: 9722\nCBS to FRU: 13528\nCBS to VIJ: 1517\nCBS to CLL: 4231\nCBS to KEF: 7903\nCBS to JCB: 5524\nCBS to BFF: 5656\nBFF to POR: 8401\nBFF to FRU: 12201\nBFF to VIJ: 4798\nBFF to CLL: 1537\nBFF to KEF: 5967\nBFF to JCB: 9899\nPOR to FRU: 4003\nPOR to VIJ: 8634\nPOR to CLL: 8701\nPOR to KEF: 2434\nPOR to JCB: 11863\nJCB to FRU: 14942\nJCB to VIJ: 5849\nJCB to CLL: 8577\nJCB to KEF: 11845\nVIJ to FRU: 12316\nVIJ to CLL: 3505\nVIJ to KEF: 6663\nCLL to FRU: 12582\nCLL to KEF: 6348\nKEF to FRU: 6234\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: IGM, JOS, FSZ, POZ, ORF, PSO, SFB, CHQ, GFN\n- Travel distances (in kilometers) between each pair of airports:\nIGM to POZ: 9280\nIGM to PSO: 5988\nIGM to CHQ: 11096\nIGM to ORF: 3457\nIGM to FSZ: 10844\nIGM to SFB: 3432\nIGM to JOS: 12715\nIGM to GFN: 12995\nJOS to POZ: 6017\nJOS to PSO: 11512\nJOS to CHQ: 6004\nJOS to ORF: 9608\nJOS to FSZ: 14153\nJOS to SFB: 10643\nJOS to GFN: 16746\nFSZ to POZ: 9112\nFSZ to PSO: 16141\nFSZ to CHQ: 9840\nFSZ to ORF: 12519\nFSZ to SFB: 13202\nFSZ to GFN: 9239\nPOZ to PSO: 10179\nPOZ to CHQ: 2149\nPOZ to ORF: 7066\nPOZ to SFB: 8088\nPOZ to GFN: 16431\nORF to PSO: 4061\nORF to CHQ: 8624\nORF to SFB: 1272\nORF to GFN: 16256\nPSO to CHQ: 11114\nPSO to SFB: 3112\nPSO to GFN: 16292\nSFB to CHQ: 9659\nSFB to GFN: 16028\nCHQ to GFN: 16083\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 58852, "style": "rule" }
{ "exact_answer": 58852, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"IGM\", \"id\": 0}, {\"name\": \"JOS\", \"id\": 1}, {\"name\": \"FSZ\", \"id\": 2}, {\"name\": \"POZ\", \"id\": 3}, {\"name\": \"ORF\", \"id\": 4}, {\"name\": \"PSO\", \"id\": 5}, {\"name\": \"SFB\", \"id\": 6}, {\"name\": \"CHQ\", \"id\": 7}, {\"name\": \"GFN\", \"id\": 8}], \"links\": [{\"weight\": 9280, \"source\": 0, \"target\": 3}, {\"weight\": 5988, \"source\": 0, \"target\": 5}, {\"weight\": 11096, \"source\": 0, \"target\": 7}, {\"weight\": 3457, \"source\": 0, \"target\": 4}, {\"weight\": 10844, \"source\": 0, \"target\": 2}, {\"weight\": 3432, \"source\": 0, \"target\": 6}, {\"weight\": 12715, \"source\": 0, \"target\": 1}, {\"weight\": 12995, \"source\": 0, \"target\": 8}, {\"weight\": 6017, \"source\": 1, \"target\": 3}, {\"weight\": 11512, \"source\": 1, \"target\": 5}, {\"weight\": 6004, \"source\": 1, \"target\": 7}, {\"weight\": 9608, \"source\": 1, \"target\": 4}, {\"weight\": 14153, \"source\": 1, \"target\": 2}, {\"weight\": 10643, \"source\": 1, \"target\": 6}, {\"weight\": 16746, \"source\": 1, \"target\": 8}, {\"weight\": 9112, \"source\": 2, \"target\": 3}, {\"weight\": 16141, \"source\": 2, \"target\": 5}, {\"weight\": 9840, \"source\": 2, \"target\": 7}, {\"weight\": 12519, \"source\": 2, \"target\": 4}, {\"weight\": 13202, \"source\": 2, \"target\": 6}, {\"weight\": 9239, \"source\": 2, \"target\": 8}, {\"weight\": 10179, \"source\": 3, \"target\": 5}, {\"weight\": 2149, \"source\": 3, \"target\": 7}, {\"weight\": 7066, \"source\": 3, \"target\": 4}, {\"weight\": 8088, \"source\": 3, \"target\": 6}, {\"weight\": 16431, \"source\": 3, \"target\": 8}, {\"weight\": 4061, \"source\": 4, \"target\": 5}, {\"weight\": 8624, \"source\": 4, \"target\": 7}, {\"weight\": 1272, \"source\": 4, \"target\": 6}, {\"weight\": 16256, \"source\": 4, \"target\": 8}, {\"weight\": 11114, \"source\": 5, \"target\": 7}, {\"weight\": 3112, \"source\": 5, \"target\": 6}, {\"weight\": 16292, \"source\": 5, \"target\": 8}, {\"weight\": 9659, \"source\": 6, \"target\": 7}, {\"weight\": 16028, \"source\": 6, \"target\": 8}, {\"weight\": 16083, \"source\": 7, \"target\": 8}]}", "id": 1338, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: IGM, JOS, FSZ, POZ, ORF, PSO, SFB, CHQ, GFN\n- Travel distances (in kilometers) between each pair of airports:\nIGM to POZ: 9280\nIGM to PSO: 5988\nIGM to CHQ: 11096\nIGM to ORF: 3457\nIGM to FSZ: 10844\nIGM to SFB: 3432\nIGM to JOS: 12715\nIGM to GFN: 12995\nJOS to POZ: 6017\nJOS to PSO: 11512\nJOS to CHQ: 6004\nJOS to ORF: 9608\nJOS to FSZ: 14153\nJOS to SFB: 10643\nJOS to GFN: 16746\nFSZ to POZ: 9112\nFSZ to PSO: 16141\nFSZ to CHQ: 9840\nFSZ to ORF: 12519\nFSZ to SFB: 13202\nFSZ to GFN: 9239\nPOZ to PSO: 10179\nPOZ to CHQ: 2149\nPOZ to ORF: 7066\nPOZ to SFB: 8088\nPOZ to GFN: 16431\nORF to PSO: 4061\nORF to CHQ: 8624\nORF to SFB: 1272\nORF to GFN: 16256\nPSO to CHQ: 11114\nPSO to SFB: 3112\nPSO to GFN: 16292\nSFB to CHQ: 9659\nSFB to GFN: 16028\nCHQ to GFN: 16083\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TZA, KTN, MLX, GUW, YFB, VIJ, VLS, TKX, PJG\n- Travel distances (in kilometers) between each pair of airports:\nTZA to KTN: 5675\nTZA to YFB: 5415\nTZA to MLX: 11679\nTZA to VIJ: 2814\nTZA to GUW: 11812\nTZA to VLS: 13473\nTZA to PJG: 15069\nTZA to TKX: 10723\nKTN to YFB: 5318\nKTN to MLX: 11881\nKTN to VIJ: 7228\nKTN to GUW: 11647\nKTN to VLS: 11572\nKTN to PJG: 14583\nKTN to TKX: 9836\nMLX to YFB: 9522\nMLX to VIJ: 10047\nMLX to GUW: 2673\nMLX to VLS: 16132\nMLX to PJG: 4456\nMLX to TKX: 19072\nGUW to YFB: 9936\nGUW to VIJ: 10560\nGUW to VLS: 13975\nGUW to PJG: 3626\nGUW to TKX: 17455\nYFB to VIJ: 5275\nYFB to VLS: 14664\nYFB to PJG: 12911\nYFB to TKX: 12337\nVIJ to VLS: 15557\nVIJ to PJG: 13490\nVIJ to TKX: 12807\nVLS to PJG: 12843\nVLS to TKX: 5858\nTKX to PJG: 17394\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 58122, "style": "rule" }
{ "exact_answer": 58122, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"TZA\", \"id\": 0}, {\"name\": \"KTN\", \"id\": 1}, {\"name\": \"MLX\", \"id\": 2}, {\"name\": \"GUW\", \"id\": 3}, {\"name\": \"YFB\", \"id\": 4}, {\"name\": \"VIJ\", \"id\": 5}, {\"name\": \"VLS\", \"id\": 6}, {\"name\": \"TKX\", \"id\": 7}, {\"name\": \"PJG\", \"id\": 8}], \"links\": [{\"weight\": 5675, \"source\": 0, \"target\": 1}, {\"weight\": 5415, \"source\": 0, \"target\": 4}, {\"weight\": 11679, \"source\": 0, \"target\": 2}, {\"weight\": 2814, \"source\": 0, \"target\": 5}, {\"weight\": 11812, \"source\": 0, \"target\": 3}, {\"weight\": 13473, \"source\": 0, \"target\": 6}, {\"weight\": 15069, \"source\": 0, \"target\": 8}, {\"weight\": 10723, \"source\": 0, \"target\": 7}, {\"weight\": 5318, \"source\": 1, \"target\": 4}, {\"weight\": 11881, \"source\": 1, \"target\": 2}, {\"weight\": 7228, \"source\": 1, \"target\": 5}, {\"weight\": 11647, \"source\": 1, \"target\": 3}, {\"weight\": 11572, \"source\": 1, \"target\": 6}, {\"weight\": 14583, \"source\": 1, \"target\": 8}, {\"weight\": 9836, \"source\": 1, \"target\": 7}, {\"weight\": 9522, \"source\": 2, \"target\": 4}, {\"weight\": 10047, \"source\": 2, \"target\": 5}, {\"weight\": 2673, \"source\": 2, \"target\": 3}, {\"weight\": 16132, \"source\": 2, \"target\": 6}, {\"weight\": 4456, \"source\": 2, \"target\": 8}, {\"weight\": 19072, \"source\": 2, \"target\": 7}, {\"weight\": 9936, \"source\": 3, \"target\": 4}, {\"weight\": 10560, \"source\": 3, \"target\": 5}, {\"weight\": 13975, \"source\": 3, \"target\": 6}, {\"weight\": 3626, \"source\": 3, \"target\": 8}, {\"weight\": 17455, \"source\": 3, \"target\": 7}, {\"weight\": 5275, \"source\": 4, \"target\": 5}, {\"weight\": 14664, \"source\": 4, \"target\": 6}, {\"weight\": 12911, \"source\": 4, \"target\": 8}, {\"weight\": 12337, \"source\": 4, \"target\": 7}, {\"weight\": 15557, \"source\": 5, \"target\": 6}, {\"weight\": 13490, \"source\": 5, \"target\": 8}, {\"weight\": 12807, \"source\": 5, \"target\": 7}, {\"weight\": 12843, \"source\": 6, \"target\": 8}, {\"weight\": 5858, \"source\": 6, \"target\": 7}, {\"weight\": 17394, \"source\": 7, \"target\": 8}]}", "id": 1339, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TZA, KTN, MLX, GUW, YFB, VIJ, VLS, TKX, PJG\n- Travel distances (in kilometers) between each pair of airports:\nTZA to KTN: 5675\nTZA to YFB: 5415\nTZA to MLX: 11679\nTZA to VIJ: 2814\nTZA to GUW: 11812\nTZA to VLS: 13473\nTZA to PJG: 15069\nTZA to TKX: 10723\nKTN to YFB: 5318\nKTN to MLX: 11881\nKTN to VIJ: 7228\nKTN to GUW: 11647\nKTN to VLS: 11572\nKTN to PJG: 14583\nKTN to TKX: 9836\nMLX to YFB: 9522\nMLX to VIJ: 10047\nMLX to GUW: 2673\nMLX to VLS: 16132\nMLX to PJG: 4456\nMLX to TKX: 19072\nGUW to YFB: 9936\nGUW to VIJ: 10560\nGUW to VLS: 13975\nGUW to PJG: 3626\nGUW to TKX: 17455\nYFB to VIJ: 5275\nYFB to VLS: 14664\nYFB to PJG: 12911\nYFB to TKX: 12337\nVIJ to VLS: 15557\nVIJ to PJG: 13490\nVIJ to TKX: 12807\nVLS to PJG: 12843\nVLS to TKX: 5858\nTKX to PJG: 17394\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: FBM, SUF, STT, YMO, NRT, HSL, DND, YMN, HHH\n- Travel distances (in kilometers) between each pair of airports:\nFBM to SUF: 7213\nFBM to NRT: 12852\nFBM to HSL: 18331\nFBM to STT: 13108\nFBM to HHH: 12961\nFBM to DND: 8807\nFBM to YMN: 12737\nFBM to YMO: 13008\nSUF to NRT: 10177\nSUF to HSL: 12440\nSUF to STT: 8474\nSUF to HHH: 8480\nSUF to DND: 2450\nSUF to YMN: 6676\nSUF to YMO: 7986\nSTT to NRT: 13432\nSTT to HSL: 8800\nSTT to HHH: 2782\nSTT to DND: 7994\nSTT to YMN: 4505\nSTT to YMO: 4010\nYMO to NRT: 10629\nYMO to HSL: 6277\nYMO to HHH: 2147\nYMO to DND: 7147\nYMO to YMN: 2459\nNRT to HSL: 10523\nNRT to HHH: 11370\nNRT to DND: 10170\nNRT to YMN: 12426\nHSL to HHH: 6690\nHSL to DND: 11114\nHSL to YMN: 8011\nDND to HHH: 7269\nDND to YMN: 6003\nYMN to HHH: 3211\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 54752, "style": "rule" }
{ "exact_answer": 54752, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"FBM\", \"id\": 0}, {\"name\": \"SUF\", \"id\": 1}, {\"name\": \"STT\", \"id\": 2}, {\"name\": \"YMO\", \"id\": 3}, {\"name\": \"NRT\", \"id\": 4}, {\"name\": \"HSL\", \"id\": 5}, {\"name\": \"DND\", \"id\": 6}, {\"name\": \"YMN\", \"id\": 7}, {\"name\": \"HHH\", \"id\": 8}], \"links\": [{\"weight\": 7213, \"source\": 0, \"target\": 1}, {\"weight\": 12852, \"source\": 0, \"target\": 4}, {\"weight\": 18331, \"source\": 0, \"target\": 5}, {\"weight\": 13108, \"source\": 0, \"target\": 2}, {\"weight\": 12961, \"source\": 0, \"target\": 8}, {\"weight\": 8807, \"source\": 0, \"target\": 6}, {\"weight\": 12737, \"source\": 0, \"target\": 7}, {\"weight\": 13008, \"source\": 0, \"target\": 3}, {\"weight\": 10177, \"source\": 1, \"target\": 4}, {\"weight\": 12440, \"source\": 1, \"target\": 5}, {\"weight\": 8474, \"source\": 1, \"target\": 2}, {\"weight\": 8480, \"source\": 1, \"target\": 8}, {\"weight\": 2450, \"source\": 1, \"target\": 6}, {\"weight\": 6676, \"source\": 1, \"target\": 7}, {\"weight\": 7986, \"source\": 1, \"target\": 3}, {\"weight\": 13432, \"source\": 2, \"target\": 4}, {\"weight\": 8800, \"source\": 2, \"target\": 5}, {\"weight\": 2782, \"source\": 2, \"target\": 8}, {\"weight\": 7994, \"source\": 2, \"target\": 6}, {\"weight\": 4505, \"source\": 2, \"target\": 7}, {\"weight\": 4010, \"source\": 2, \"target\": 3}, {\"weight\": 10629, \"source\": 3, \"target\": 4}, {\"weight\": 6277, \"source\": 3, \"target\": 5}, {\"weight\": 2147, \"source\": 3, \"target\": 8}, {\"weight\": 7147, \"source\": 3, \"target\": 6}, {\"weight\": 2459, \"source\": 3, \"target\": 7}, {\"weight\": 10523, \"source\": 4, \"target\": 5}, {\"weight\": 11370, \"source\": 4, \"target\": 8}, {\"weight\": 10170, \"source\": 4, \"target\": 6}, {\"weight\": 12426, \"source\": 4, \"target\": 7}, {\"weight\": 6690, \"source\": 5, \"target\": 8}, {\"weight\": 11114, \"source\": 5, \"target\": 6}, {\"weight\": 8011, \"source\": 5, \"target\": 7}, {\"weight\": 7269, \"source\": 6, \"target\": 8}, {\"weight\": 6003, \"source\": 6, \"target\": 7}, {\"weight\": 3211, \"source\": 7, \"target\": 8}]}", "id": 1340, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: FBM, SUF, STT, YMO, NRT, HSL, DND, YMN, HHH\n- Travel distances (in kilometers) between each pair of airports:\nFBM to SUF: 7213\nFBM to NRT: 12852\nFBM to HSL: 18331\nFBM to STT: 13108\nFBM to HHH: 12961\nFBM to DND: 8807\nFBM to YMN: 12737\nFBM to YMO: 13008\nSUF to NRT: 10177\nSUF to HSL: 12440\nSUF to STT: 8474\nSUF to HHH: 8480\nSUF to DND: 2450\nSUF to YMN: 6676\nSUF to YMO: 7986\nSTT to NRT: 13432\nSTT to HSL: 8800\nSTT to HHH: 2782\nSTT to DND: 7994\nSTT to YMN: 4505\nSTT to YMO: 4010\nYMO to NRT: 10629\nYMO to HSL: 6277\nYMO to HHH: 2147\nYMO to DND: 7147\nYMO to YMN: 2459\nNRT to HSL: 10523\nNRT to HHH: 11370\nNRT to DND: 10170\nNRT to YMN: 12426\nHSL to HHH: 6690\nHSL to DND: 11114\nHSL to YMN: 8011\nDND to HHH: 7269\nDND to YMN: 6003\nYMN to HHH: 3211\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: IAH, CPX, PET, BRQ, JYV, OUD, HOF, EGX, BTT\n- Travel distances (in kilometers) between each pair of airports:\nIAH to BTT: 5760\nIAH to CPX: 3314\nIAH to PET: 8365\nIAH to OUD: 8618\nIAH to JYV: 8908\nIAH to BRQ: 8989\nIAH to HOF: 12970\nIAH to EGX: 5781\nCPX to BTT: 8696\nCPX to PET: 6389\nCPX to OUD: 8123\nCPX to JYV: 9083\nCPX to BRQ: 8839\nCPX to HOF: 12014\nCPX to EGX: 8523\nPET to BTT: 14125\nPET to OUD: 9169\nPET to JYV: 12615\nPET to BRQ: 11827\nPET to HOF: 12701\nPET to EGX: 14145\nBRQ to BTT: 11642\nBRQ to OUD: 3321\nBRQ to JYV: 3224\nBRQ to HOF: 6390\nBRQ to EGX: 11751\nJYV to BTT: 11236\nJYV to OUD: 3667\nJYV to HOF: 5023\nJYV to EGX: 11345\nOUD to BTT: 12404\nOUD to HOF: 5695\nOUD to EGX: 12316\nHOF to BTT: 15412\nHOF to EGX: 15521\nEGX to BTT: 1235\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 51472, "style": "rule" }
{ "exact_answer": 51472, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"IAH\", \"id\": 0}, {\"name\": \"CPX\", \"id\": 1}, {\"name\": \"PET\", \"id\": 2}, {\"name\": \"BRQ\", \"id\": 3}, {\"name\": \"JYV\", \"id\": 4}, {\"name\": \"OUD\", \"id\": 5}, {\"name\": \"HOF\", \"id\": 6}, {\"name\": \"EGX\", \"id\": 7}, {\"name\": \"BTT\", \"id\": 8}], \"links\": [{\"weight\": 5760, \"source\": 0, \"target\": 8}, {\"weight\": 3314, \"source\": 0, \"target\": 1}, {\"weight\": 8365, \"source\": 0, \"target\": 2}, {\"weight\": 8618, \"source\": 0, \"target\": 5}, {\"weight\": 8908, \"source\": 0, \"target\": 4}, {\"weight\": 8989, \"source\": 0, \"target\": 3}, {\"weight\": 12970, \"source\": 0, \"target\": 6}, {\"weight\": 5781, \"source\": 0, \"target\": 7}, {\"weight\": 8696, \"source\": 1, \"target\": 8}, {\"weight\": 6389, \"source\": 1, \"target\": 2}, {\"weight\": 8123, \"source\": 1, \"target\": 5}, {\"weight\": 9083, \"source\": 1, \"target\": 4}, {\"weight\": 8839, \"source\": 1, \"target\": 3}, {\"weight\": 12014, \"source\": 1, \"target\": 6}, {\"weight\": 8523, \"source\": 1, \"target\": 7}, {\"weight\": 14125, \"source\": 2, \"target\": 8}, {\"weight\": 9169, \"source\": 2, \"target\": 5}, {\"weight\": 12615, \"source\": 2, \"target\": 4}, {\"weight\": 11827, \"source\": 2, \"target\": 3}, {\"weight\": 12701, \"source\": 2, \"target\": 6}, {\"weight\": 14145, \"source\": 2, \"target\": 7}, {\"weight\": 11642, \"source\": 3, \"target\": 8}, {\"weight\": 3321, \"source\": 3, \"target\": 5}, {\"weight\": 3224, \"source\": 3, \"target\": 4}, {\"weight\": 6390, \"source\": 3, \"target\": 6}, {\"weight\": 11751, \"source\": 3, \"target\": 7}, {\"weight\": 11236, \"source\": 4, \"target\": 8}, {\"weight\": 3667, \"source\": 4, \"target\": 5}, {\"weight\": 5023, \"source\": 4, \"target\": 6}, {\"weight\": 11345, \"source\": 4, \"target\": 7}, {\"weight\": 12404, \"source\": 5, \"target\": 8}, {\"weight\": 5695, \"source\": 5, \"target\": 6}, {\"weight\": 12316, \"source\": 5, \"target\": 7}, {\"weight\": 15412, \"source\": 6, \"target\": 8}, {\"weight\": 15521, \"source\": 6, \"target\": 7}, {\"weight\": 1235, \"source\": 7, \"target\": 8}]}", "id": 1341, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: IAH, CPX, PET, BRQ, JYV, OUD, HOF, EGX, BTT\n- Travel distances (in kilometers) between each pair of airports:\nIAH to BTT: 5760\nIAH to CPX: 3314\nIAH to PET: 8365\nIAH to OUD: 8618\nIAH to JYV: 8908\nIAH to BRQ: 8989\nIAH to HOF: 12970\nIAH to EGX: 5781\nCPX to BTT: 8696\nCPX to PET: 6389\nCPX to OUD: 8123\nCPX to JYV: 9083\nCPX to BRQ: 8839\nCPX to HOF: 12014\nCPX to EGX: 8523\nPET to BTT: 14125\nPET to OUD: 9169\nPET to JYV: 12615\nPET to BRQ: 11827\nPET to HOF: 12701\nPET to EGX: 14145\nBRQ to BTT: 11642\nBRQ to OUD: 3321\nBRQ to JYV: 3224\nBRQ to HOF: 6390\nBRQ to EGX: 11751\nJYV to BTT: 11236\nJYV to OUD: 3667\nJYV to HOF: 5023\nJYV to EGX: 11345\nOUD to BTT: 12404\nOUD to HOF: 5695\nOUD to EGX: 12316\nHOF to BTT: 15412\nHOF to EGX: 15521\nEGX to BTT: 1235\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: EBU, MKE, WMX, SDF, DEA, BHJ, ZSA, KOW, CNS\n- Travel distances (in kilometers) between each pair of airports:\nEBU to KOW: 10081\nEBU to BHJ: 7451\nEBU to CNS: 15654\nEBU to MKE: 7466\nEBU to SDF: 7542\nEBU to ZSA: 8594\nEBU to WMX: 15088\nEBU to DEA: 6615\nMKE to KOW: 12260\nMKE to BHJ: 13789\nMKE to CNS: 15744\nMKE to SDF: 568\nMKE to ZSA: 2536\nMKE to WMX: 18100\nMKE to DEA: 12331\nWMX to KOW: 6170\nWMX to BHJ: 8868\nWMX to CNS: 6581\nWMX to SDF: 18568\nWMX to ZSA: 20536\nWMX to DEA: 9364\nSDF to KOW: 12614\nSDF to BHJ: 13915\nSDF to CNS: 15911\nSDF to ZSA: 2003\nSDF to DEA: 12457\nDEA to KOW: 4626\nDEA to BHJ: 2097\nDEA to CNS: 10003\nDEA to ZSA: 13845\nBHJ to KOW: 4938\nBHJ to CNS: 9507\nBHJ to ZSA: 15076\nZSA to KOW: 14538\nZSA to CNS: 17161\nKOW to CNS: 6018\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 53310, "style": "rule" }
{ "exact_answer": 53310, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"EBU\", \"id\": 0}, {\"name\": \"MKE\", \"id\": 1}, {\"name\": \"WMX\", \"id\": 2}, {\"name\": \"SDF\", \"id\": 3}, {\"name\": \"DEA\", \"id\": 4}, {\"name\": \"BHJ\", \"id\": 5}, {\"name\": \"ZSA\", \"id\": 6}, {\"name\": \"KOW\", \"id\": 7}, {\"name\": \"CNS\", \"id\": 8}], \"links\": [{\"weight\": 10081, \"source\": 0, \"target\": 7}, {\"weight\": 7451, \"source\": 0, \"target\": 5}, {\"weight\": 15654, \"source\": 0, \"target\": 8}, {\"weight\": 7466, \"source\": 0, \"target\": 1}, {\"weight\": 7542, \"source\": 0, \"target\": 3}, {\"weight\": 8594, \"source\": 0, \"target\": 6}, {\"weight\": 15088, \"source\": 0, \"target\": 2}, {\"weight\": 6615, \"source\": 0, \"target\": 4}, {\"weight\": 12260, \"source\": 1, \"target\": 7}, {\"weight\": 13789, \"source\": 1, \"target\": 5}, {\"weight\": 15744, \"source\": 1, \"target\": 8}, {\"weight\": 568, \"source\": 1, \"target\": 3}, {\"weight\": 2536, \"source\": 1, \"target\": 6}, {\"weight\": 18100, \"source\": 1, \"target\": 2}, {\"weight\": 12331, \"source\": 1, \"target\": 4}, {\"weight\": 6170, \"source\": 2, \"target\": 7}, {\"weight\": 8868, \"source\": 2, \"target\": 5}, {\"weight\": 6581, \"source\": 2, \"target\": 8}, {\"weight\": 18568, \"source\": 2, \"target\": 3}, {\"weight\": 20536, \"source\": 2, \"target\": 6}, {\"weight\": 9364, \"source\": 2, \"target\": 4}, {\"weight\": 12614, \"source\": 3, \"target\": 7}, {\"weight\": 13915, \"source\": 3, \"target\": 5}, {\"weight\": 15911, \"source\": 3, \"target\": 8}, {\"weight\": 2003, \"source\": 3, \"target\": 6}, {\"weight\": 12457, \"source\": 3, \"target\": 4}, {\"weight\": 4626, \"source\": 4, \"target\": 7}, {\"weight\": 2097, \"source\": 4, \"target\": 5}, {\"weight\": 10003, \"source\": 4, \"target\": 8}, {\"weight\": 13845, \"source\": 4, \"target\": 6}, {\"weight\": 4938, \"source\": 5, \"target\": 7}, {\"weight\": 9507, \"source\": 5, \"target\": 8}, {\"weight\": 15076, \"source\": 5, \"target\": 6}, {\"weight\": 14538, \"source\": 6, \"target\": 7}, {\"weight\": 17161, \"source\": 6, \"target\": 8}, {\"weight\": 6018, \"source\": 7, \"target\": 8}]}", "id": 1342, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: EBU, MKE, WMX, SDF, DEA, BHJ, ZSA, KOW, CNS\n- Travel distances (in kilometers) between each pair of airports:\nEBU to KOW: 10081\nEBU to BHJ: 7451\nEBU to CNS: 15654\nEBU to MKE: 7466\nEBU to SDF: 7542\nEBU to ZSA: 8594\nEBU to WMX: 15088\nEBU to DEA: 6615\nMKE to KOW: 12260\nMKE to BHJ: 13789\nMKE to CNS: 15744\nMKE to SDF: 568\nMKE to ZSA: 2536\nMKE to WMX: 18100\nMKE to DEA: 12331\nWMX to KOW: 6170\nWMX to BHJ: 8868\nWMX to CNS: 6581\nWMX to SDF: 18568\nWMX to ZSA: 20536\nWMX to DEA: 9364\nSDF to KOW: 12614\nSDF to BHJ: 13915\nSDF to CNS: 15911\nSDF to ZSA: 2003\nSDF to DEA: 12457\nDEA to KOW: 4626\nDEA to BHJ: 2097\nDEA to CNS: 10003\nDEA to ZSA: 13845\nBHJ to KOW: 4938\nBHJ to CNS: 9507\nBHJ to ZSA: 15076\nZSA to KOW: 14538\nZSA to CNS: 17161\nKOW to CNS: 6018\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SJE, PLS, NDG, XMN, PRG, AKP, BEJ, BIK, PKC\n- Travel distances (in kilometers) between each pair of airports:\nSJE to XMN: 16801\nSJE to PRG: 9780\nSJE to AKP: 9754\nSJE to PLS: 2349\nSJE to NDG: 16201\nSJE to BEJ: 20002\nSJE to BIK: 21946\nSJE to PKC: 17726\nPLS to XMN: 14759\nPLS to PRG: 8263\nPLS to AKP: 8073\nPLS to NDG: 14068\nPLS to BEJ: 18122\nPLS to BIK: 20066\nPLS to PKC: 15938\nNDG to XMN: 2575\nNDG to PRG: 8453\nNDG to AKP: 12536\nNDG to BEJ: 5981\nNDG to BIK: 7925\nNDG to PKC: 4438\nXMN to PRG: 8911\nXMN to AKP: 12873\nXMN to BEJ: 3568\nXMN to BIK: 5512\nXMN to PKC: 4665\nPRG to AKP: 11404\nPRG to BEJ: 11763\nPRG to BIK: 13671\nPRG to PKC: 8412\nAKP to BEJ: 15984\nAKP to BIK: 17928\nAKP to PKC: 13708\nBEJ to BIK: 2786\nBEJ to PKC: 8004\nBIK to PKC: 9948\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 59909, "style": "rule" }
{ "exact_answer": 59909, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"SJE\", \"id\": 0}, {\"name\": \"PLS\", \"id\": 1}, {\"name\": \"NDG\", \"id\": 2}, {\"name\": \"XMN\", \"id\": 3}, {\"name\": \"PRG\", \"id\": 4}, {\"name\": \"AKP\", \"id\": 5}, {\"name\": \"BEJ\", \"id\": 6}, {\"name\": \"BIK\", \"id\": 7}, {\"name\": \"PKC\", \"id\": 8}], \"links\": [{\"weight\": 16801, \"source\": 0, \"target\": 3}, {\"weight\": 9780, \"source\": 0, \"target\": 4}, {\"weight\": 9754, \"source\": 0, \"target\": 5}, {\"weight\": 2349, \"source\": 0, \"target\": 1}, {\"weight\": 16201, \"source\": 0, \"target\": 2}, {\"weight\": 20002, \"source\": 0, \"target\": 6}, {\"weight\": 21946, \"source\": 0, \"target\": 7}, {\"weight\": 17726, \"source\": 0, \"target\": 8}, {\"weight\": 14759, \"source\": 1, \"target\": 3}, {\"weight\": 8263, \"source\": 1, \"target\": 4}, {\"weight\": 8073, \"source\": 1, \"target\": 5}, {\"weight\": 14068, \"source\": 1, \"target\": 2}, {\"weight\": 18122, \"source\": 1, \"target\": 6}, {\"weight\": 20066, \"source\": 1, \"target\": 7}, {\"weight\": 15938, \"source\": 1, \"target\": 8}, {\"weight\": 2575, \"source\": 2, \"target\": 3}, {\"weight\": 8453, \"source\": 2, \"target\": 4}, {\"weight\": 12536, \"source\": 2, \"target\": 5}, {\"weight\": 5981, \"source\": 2, \"target\": 6}, {\"weight\": 7925, \"source\": 2, \"target\": 7}, {\"weight\": 4438, \"source\": 2, \"target\": 8}, {\"weight\": 8911, \"source\": 3, \"target\": 4}, {\"weight\": 12873, \"source\": 3, \"target\": 5}, {\"weight\": 3568, \"source\": 3, \"target\": 6}, {\"weight\": 5512, \"source\": 3, \"target\": 7}, {\"weight\": 4665, \"source\": 3, \"target\": 8}, {\"weight\": 11404, \"source\": 4, \"target\": 5}, {\"weight\": 11763, \"source\": 4, \"target\": 6}, {\"weight\": 13671, \"source\": 4, \"target\": 7}, {\"weight\": 8412, \"source\": 4, \"target\": 8}, {\"weight\": 15984, \"source\": 5, \"target\": 6}, {\"weight\": 17928, \"source\": 5, \"target\": 7}, {\"weight\": 13708, \"source\": 5, \"target\": 8}, {\"weight\": 2786, \"source\": 6, \"target\": 7}, {\"weight\": 8004, \"source\": 6, \"target\": 8}, {\"weight\": 9948, \"source\": 7, \"target\": 8}]}", "id": 1343, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SJE, PLS, NDG, XMN, PRG, AKP, BEJ, BIK, PKC\n- Travel distances (in kilometers) between each pair of airports:\nSJE to XMN: 16801\nSJE to PRG: 9780\nSJE to AKP: 9754\nSJE to PLS: 2349\nSJE to NDG: 16201\nSJE to BEJ: 20002\nSJE to BIK: 21946\nSJE to PKC: 17726\nPLS to XMN: 14759\nPLS to PRG: 8263\nPLS to AKP: 8073\nPLS to NDG: 14068\nPLS to BEJ: 18122\nPLS to BIK: 20066\nPLS to PKC: 15938\nNDG to XMN: 2575\nNDG to PRG: 8453\nNDG to AKP: 12536\nNDG to BEJ: 5981\nNDG to BIK: 7925\nNDG to PKC: 4438\nXMN to PRG: 8911\nXMN to AKP: 12873\nXMN to BEJ: 3568\nXMN to BIK: 5512\nXMN to PKC: 4665\nPRG to AKP: 11404\nPRG to BEJ: 11763\nPRG to BIK: 13671\nPRG to PKC: 8412\nAKP to BEJ: 15984\nAKP to BIK: 17928\nAKP to PKC: 13708\nBEJ to BIK: 2786\nBEJ to PKC: 8004\nBIK to PKC: 9948\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SDQ, MEH, UII, UST, LRH, LEJ, DUJ, FEG, XMH\n- Travel distances (in kilometers) between each pair of airports:\nSDQ to FEG: 12410\nSDQ to LEJ: 7897\nSDQ to LRH: 7562\nSDQ to UST: 4244\nSDQ to UII: 2001\nSDQ to DUJ: 3116\nSDQ to XMH: 12250\nSDQ to MEH: 9311\nMEH to FEG: 5409\nMEH to LEJ: 2620\nMEH to LRH: 3208\nMEH to UST: 9147\nMEH to UII: 10024\nMEH to DUJ: 7500\nMEH to XMH: 17005\nUII to FEG: 13566\nUII to LEJ: 9313\nUII to LRH: 9062\nUII to UST: 4369\nUII to DUJ: 3191\nUII to XMH: 10973\nUST to FEG: 12689\nUST to LEJ: 8715\nUST to LRH: 8347\nUST to DUJ: 2141\nUST to XMH: 12305\nLRH to FEG: 5775\nLRH to LEJ: 1344\nLRH to DUJ: 6700\nLRH to XMH: 16474\nLEJ to FEG: 4729\nLEJ to DUJ: 7068\nLEJ to XMH: 16602\nDUJ to FEG: 11042\nDUJ to XMH: 10667\nFEG to XMH: 16229\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 51661, "style": "rule" }
{ "exact_answer": 51661, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"SDQ\", \"id\": 0}, {\"name\": \"MEH\", \"id\": 1}, {\"name\": \"UII\", \"id\": 2}, {\"name\": \"UST\", \"id\": 3}, {\"name\": \"LRH\", \"id\": 4}, {\"name\": \"LEJ\", \"id\": 5}, {\"name\": \"DUJ\", \"id\": 6}, {\"name\": \"FEG\", \"id\": 7}, {\"name\": \"XMH\", \"id\": 8}], \"links\": [{\"weight\": 12410, \"source\": 0, \"target\": 7}, {\"weight\": 7897, \"source\": 0, \"target\": 5}, {\"weight\": 7562, \"source\": 0, \"target\": 4}, {\"weight\": 4244, \"source\": 0, \"target\": 3}, {\"weight\": 2001, \"source\": 0, \"target\": 2}, {\"weight\": 3116, \"source\": 0, \"target\": 6}, {\"weight\": 12250, \"source\": 0, \"target\": 8}, {\"weight\": 9311, \"source\": 0, \"target\": 1}, {\"weight\": 5409, \"source\": 1, \"target\": 7}, {\"weight\": 2620, \"source\": 1, \"target\": 5}, {\"weight\": 3208, \"source\": 1, \"target\": 4}, {\"weight\": 9147, \"source\": 1, \"target\": 3}, {\"weight\": 10024, \"source\": 1, \"target\": 2}, {\"weight\": 7500, \"source\": 1, \"target\": 6}, {\"weight\": 17005, \"source\": 1, \"target\": 8}, {\"weight\": 13566, \"source\": 2, \"target\": 7}, {\"weight\": 9313, \"source\": 2, \"target\": 5}, {\"weight\": 9062, \"source\": 2, \"target\": 4}, {\"weight\": 4369, \"source\": 2, \"target\": 3}, {\"weight\": 3191, \"source\": 2, \"target\": 6}, {\"weight\": 10973, \"source\": 2, \"target\": 8}, {\"weight\": 12689, \"source\": 3, \"target\": 7}, {\"weight\": 8715, \"source\": 3, \"target\": 5}, {\"weight\": 8347, \"source\": 3, \"target\": 4}, {\"weight\": 2141, \"source\": 3, \"target\": 6}, {\"weight\": 12305, \"source\": 3, \"target\": 8}, {\"weight\": 5775, \"source\": 4, \"target\": 7}, {\"weight\": 1344, \"source\": 4, \"target\": 5}, {\"weight\": 6700, \"source\": 4, \"target\": 6}, {\"weight\": 16474, \"source\": 4, \"target\": 8}, {\"weight\": 4729, \"source\": 5, \"target\": 7}, {\"weight\": 7068, \"source\": 5, \"target\": 6}, {\"weight\": 16602, \"source\": 5, \"target\": 8}, {\"weight\": 11042, \"source\": 6, \"target\": 7}, {\"weight\": 10667, \"source\": 6, \"target\": 8}, {\"weight\": 16229, \"source\": 7, \"target\": 8}]}", "id": 1344, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SDQ, MEH, UII, UST, LRH, LEJ, DUJ, FEG, XMH\n- Travel distances (in kilometers) between each pair of airports:\nSDQ to FEG: 12410\nSDQ to LEJ: 7897\nSDQ to LRH: 7562\nSDQ to UST: 4244\nSDQ to UII: 2001\nSDQ to DUJ: 3116\nSDQ to XMH: 12250\nSDQ to MEH: 9311\nMEH to FEG: 5409\nMEH to LEJ: 2620\nMEH to LRH: 3208\nMEH to UST: 9147\nMEH to UII: 10024\nMEH to DUJ: 7500\nMEH to XMH: 17005\nUII to FEG: 13566\nUII to LEJ: 9313\nUII to LRH: 9062\nUII to UST: 4369\nUII to DUJ: 3191\nUII to XMH: 10973\nUST to FEG: 12689\nUST to LEJ: 8715\nUST to LRH: 8347\nUST to DUJ: 2141\nUST to XMH: 12305\nLRH to FEG: 5775\nLRH to LEJ: 1344\nLRH to DUJ: 6700\nLRH to XMH: 16474\nLEJ to FEG: 4729\nLEJ to DUJ: 7068\nLEJ to XMH: 16602\nDUJ to FEG: 11042\nDUJ to XMH: 10667\nFEG to XMH: 16229\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: GPI, VIN, HDY, LDE, KVA, TIJ, SWJ, KCK, PAZ\n- Travel distances (in kilometers) between each pair of airports:\nGPI to KCK: 15937\nGPI to TIJ: 5532\nGPI to KVA: 11098\nGPI to LDE: 8923\nGPI to HDY: 19203\nGPI to PAZ: 3444\nGPI to SWJ: 15728\nGPI to VIN: 14029\nVIN to KCK: 8634\nVIN to TIJ: 15129\nVIN to KVA: 3514\nVIN to LDE: 5452\nVIN to HDY: 9682\nVIN to PAZ: 14676\nVIN to SWJ: 17626\nHDY to KCK: 5708\nHDY to TIJ: 14266\nHDY to KVA: 9028\nHDY to LDE: 10608\nHDY to PAZ: 16715\nHDY to SWJ: 8523\nLDE to KCK: 7902\nLDE to TIJ: 10501\nLDE to KVA: 2610\nLDE to PAZ: 9657\nLDE to SWJ: 18035\nKVA to KCK: 7163\nKVA to TIJ: 11835\nKVA to PAZ: 11356\nKVA to SWJ: 16811\nTIJ to KCK: 12985\nTIJ to PAZ: 2512\nTIJ to SWJ: 11584\nSWJ to KCK: 11632\nSWJ to PAZ: 12731\nKCK to PAZ: 14947\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 55452, "style": "rule" }
{ "exact_answer": 55452, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"GPI\", \"id\": 0}, {\"name\": \"VIN\", \"id\": 1}, {\"name\": \"HDY\", \"id\": 2}, {\"name\": \"LDE\", \"id\": 3}, {\"name\": \"KVA\", \"id\": 4}, {\"name\": \"TIJ\", \"id\": 5}, {\"name\": \"SWJ\", \"id\": 6}, {\"name\": \"KCK\", \"id\": 7}, {\"name\": \"PAZ\", \"id\": 8}], \"links\": [{\"weight\": 15937, \"source\": 0, \"target\": 7}, {\"weight\": 5532, \"source\": 0, \"target\": 5}, {\"weight\": 11098, \"source\": 0, \"target\": 4}, {\"weight\": 8923, \"source\": 0, \"target\": 3}, {\"weight\": 19203, \"source\": 0, \"target\": 2}, {\"weight\": 3444, \"source\": 0, \"target\": 8}, {\"weight\": 15728, \"source\": 0, \"target\": 6}, {\"weight\": 14029, \"source\": 0, \"target\": 1}, {\"weight\": 8634, \"source\": 1, \"target\": 7}, {\"weight\": 15129, \"source\": 1, \"target\": 5}, {\"weight\": 3514, \"source\": 1, \"target\": 4}, {\"weight\": 5452, \"source\": 1, \"target\": 3}, {\"weight\": 9682, \"source\": 1, \"target\": 2}, {\"weight\": 14676, \"source\": 1, \"target\": 8}, {\"weight\": 17626, \"source\": 1, \"target\": 6}, {\"weight\": 5708, \"source\": 2, \"target\": 7}, {\"weight\": 14266, \"source\": 2, \"target\": 5}, {\"weight\": 9028, \"source\": 2, \"target\": 4}, {\"weight\": 10608, \"source\": 2, \"target\": 3}, {\"weight\": 16715, \"source\": 2, \"target\": 8}, {\"weight\": 8523, \"source\": 2, \"target\": 6}, {\"weight\": 7902, \"source\": 3, \"target\": 7}, {\"weight\": 10501, \"source\": 3, \"target\": 5}, {\"weight\": 2610, \"source\": 3, \"target\": 4}, {\"weight\": 9657, \"source\": 3, \"target\": 8}, {\"weight\": 18035, \"source\": 3, \"target\": 6}, {\"weight\": 7163, \"source\": 4, \"target\": 7}, {\"weight\": 11835, \"source\": 4, \"target\": 5}, {\"weight\": 11356, \"source\": 4, \"target\": 8}, {\"weight\": 16811, \"source\": 4, \"target\": 6}, {\"weight\": 12985, \"source\": 5, \"target\": 7}, {\"weight\": 2512, \"source\": 5, \"target\": 8}, {\"weight\": 11584, \"source\": 5, \"target\": 6}, {\"weight\": 11632, \"source\": 6, \"target\": 7}, {\"weight\": 12731, \"source\": 6, \"target\": 8}, {\"weight\": 14947, \"source\": 7, \"target\": 8}]}", "id": 1345, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: GPI, VIN, HDY, LDE, KVA, TIJ, SWJ, KCK, PAZ\n- Travel distances (in kilometers) between each pair of airports:\nGPI to KCK: 15937\nGPI to TIJ: 5532\nGPI to KVA: 11098\nGPI to LDE: 8923\nGPI to HDY: 19203\nGPI to PAZ: 3444\nGPI to SWJ: 15728\nGPI to VIN: 14029\nVIN to KCK: 8634\nVIN to TIJ: 15129\nVIN to KVA: 3514\nVIN to LDE: 5452\nVIN to HDY: 9682\nVIN to PAZ: 14676\nVIN to SWJ: 17626\nHDY to KCK: 5708\nHDY to TIJ: 14266\nHDY to KVA: 9028\nHDY to LDE: 10608\nHDY to PAZ: 16715\nHDY to SWJ: 8523\nLDE to KCK: 7902\nLDE to TIJ: 10501\nLDE to KVA: 2610\nLDE to PAZ: 9657\nLDE to SWJ: 18035\nKVA to KCK: 7163\nKVA to TIJ: 11835\nKVA to PAZ: 11356\nKVA to SWJ: 16811\nTIJ to KCK: 12985\nTIJ to PAZ: 2512\nTIJ to SWJ: 11584\nSWJ to KCK: 11632\nSWJ to PAZ: 12731\nKCK to PAZ: 14947\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: WBQ, CGK, SMA, EOH, HAK, RYG, OIA, CAL, CIH\n- Travel distances (in kilometers) between each pair of airports:\nWBQ to HAK: 13495\nWBQ to CGK: 16127\nWBQ to EOH: 9281\nWBQ to CAL: 9884\nWBQ to CIH: 11835\nWBQ to RYG: 10750\nWBQ to SMA: 10330\nWBQ to OIA: 12100\nCGK to HAK: 3064\nCGK to EOH: 20140\nCGK to CAL: 12109\nCGK to CIH: 4789\nCGK to RYG: 10945\nCGK to SMA: 14103\nCGK to OIA: 19046\nSMA to HAK: 12245\nSMA to EOH: 8013\nSMA to CAL: 3277\nSMA to CIH: 11212\nSMA to RYG: 4029\nSMA to OIA: 7533\nEOH to HAK: 17407\nEOH to CAL: 9083\nEOH to CIH: 15615\nEOH to RYG: 9722\nEOH to OIA: 4431\nHAK to CIH: 1832\nHAK to CAL: 9999\nHAK to RYG: 8769\nHAK to OIA: 18174\nRYG to CAL: 1395\nRYG to CIH: 7680\nRYG to OIA: 9878\nOIA to CAL: 9219\nOIA to CIH: 17180\nCAL to CIH: 8966\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 53593, "style": "rule" }
{ "exact_answer": 53593, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"WBQ\", \"id\": 0}, {\"name\": \"CGK\", \"id\": 1}, {\"name\": \"SMA\", \"id\": 2}, {\"name\": \"EOH\", \"id\": 3}, {\"name\": \"HAK\", \"id\": 4}, {\"name\": \"RYG\", \"id\": 5}, {\"name\": \"OIA\", \"id\": 6}, {\"name\": \"CAL\", \"id\": 7}, {\"name\": \"CIH\", \"id\": 8}], \"links\": [{\"weight\": 13495, \"source\": 0, \"target\": 4}, {\"weight\": 16127, \"source\": 0, \"target\": 1}, {\"weight\": 9281, \"source\": 0, \"target\": 3}, {\"weight\": 9884, \"source\": 0, \"target\": 7}, {\"weight\": 11835, \"source\": 0, \"target\": 8}, {\"weight\": 10750, \"source\": 0, \"target\": 5}, {\"weight\": 10330, \"source\": 0, \"target\": 2}, {\"weight\": 12100, \"source\": 0, \"target\": 6}, {\"weight\": 3064, \"source\": 1, \"target\": 4}, {\"weight\": 20140, \"source\": 1, \"target\": 3}, {\"weight\": 12109, \"source\": 1, \"target\": 7}, {\"weight\": 4789, \"source\": 1, \"target\": 8}, {\"weight\": 10945, \"source\": 1, \"target\": 5}, {\"weight\": 14103, \"source\": 1, \"target\": 2}, {\"weight\": 19046, \"source\": 1, \"target\": 6}, {\"weight\": 12245, \"source\": 2, \"target\": 4}, {\"weight\": 8013, \"source\": 2, \"target\": 3}, {\"weight\": 3277, \"source\": 2, \"target\": 7}, {\"weight\": 11212, \"source\": 2, \"target\": 8}, {\"weight\": 4029, \"source\": 2, \"target\": 5}, {\"weight\": 7533, \"source\": 2, \"target\": 6}, {\"weight\": 17407, \"source\": 3, \"target\": 4}, {\"weight\": 9083, \"source\": 3, \"target\": 7}, {\"weight\": 15615, \"source\": 3, \"target\": 8}, {\"weight\": 9722, \"source\": 3, \"target\": 5}, {\"weight\": 4431, \"source\": 3, \"target\": 6}, {\"weight\": 1832, \"source\": 4, \"target\": 8}, {\"weight\": 9999, \"source\": 4, \"target\": 7}, {\"weight\": 8769, \"source\": 4, \"target\": 5}, {\"weight\": 18174, \"source\": 4, \"target\": 6}, {\"weight\": 1395, \"source\": 5, \"target\": 7}, {\"weight\": 7680, \"source\": 5, \"target\": 8}, {\"weight\": 9878, \"source\": 5, \"target\": 6}, {\"weight\": 9219, \"source\": 6, \"target\": 7}, {\"weight\": 17180, \"source\": 6, \"target\": 8}, {\"weight\": 8966, \"source\": 7, \"target\": 8}]}", "id": 1346, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: WBQ, CGK, SMA, EOH, HAK, RYG, OIA, CAL, CIH\n- Travel distances (in kilometers) between each pair of airports:\nWBQ to HAK: 13495\nWBQ to CGK: 16127\nWBQ to EOH: 9281\nWBQ to CAL: 9884\nWBQ to CIH: 11835\nWBQ to RYG: 10750\nWBQ to SMA: 10330\nWBQ to OIA: 12100\nCGK to HAK: 3064\nCGK to EOH: 20140\nCGK to CAL: 12109\nCGK to CIH: 4789\nCGK to RYG: 10945\nCGK to SMA: 14103\nCGK to OIA: 19046\nSMA to HAK: 12245\nSMA to EOH: 8013\nSMA to CAL: 3277\nSMA to CIH: 11212\nSMA to RYG: 4029\nSMA to OIA: 7533\nEOH to HAK: 17407\nEOH to CAL: 9083\nEOH to CIH: 15615\nEOH to RYG: 9722\nEOH to OIA: 4431\nHAK to CIH: 1832\nHAK to CAL: 9999\nHAK to RYG: 8769\nHAK to OIA: 18174\nRYG to CAL: 1395\nRYG to CIH: 7680\nRYG to OIA: 9878\nOIA to CAL: 9219\nOIA to CIH: 17180\nCAL to CIH: 8966\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: VGA, KWL, NEV, DOU, KFP, PUU, NRK, SFO, SGC\n- Travel distances (in kilometers) between each pair of airports:\nVGA to DOU: 15573\nVGA to KWL: 3671\nVGA to NEV: 14693\nVGA to SGC: 5398\nVGA to PUU: 16983\nVGA to SFO: 14544\nVGA to NRK: 7262\nVGA to KFP: 17108\nKWL to DOU: 18563\nKWL to NEV: 15557\nKWL to SGC: 5082\nKWL to PUU: 17097\nKWL to SFO: 11148\nKWL to NRK: 7853\nKWL to KFP: 13790\nNEV to DOU: 5208\nNEV to SGC: 11291\nNEV to PUU: 2554\nNEV to SFO: 6210\nNEV to NRK: 9035\nNEV to KFP: 9277\nDOU to SGC: 14391\nDOU to PUU: 5746\nDOU to SFO: 10545\nDOU to NRK: 12248\nDOU to KFP: 14044\nKFP to SGC: 14605\nKFP to PUU: 10195\nKFP to SFO: 4416\nKFP to NRK: 12162\nPUU to SGC: 13576\nPUU to SFO: 6361\nPUU to NRK: 11320\nNRK to SGC: 3499\nNRK to SFO: 9764\nSFO to SGC: 12207\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 57124, "style": "rule" }
{ "exact_answer": 57124, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"VGA\", \"id\": 0}, {\"name\": \"KWL\", \"id\": 1}, {\"name\": \"NEV\", \"id\": 2}, {\"name\": \"DOU\", \"id\": 3}, {\"name\": \"KFP\", \"id\": 4}, {\"name\": \"PUU\", \"id\": 5}, {\"name\": \"NRK\", \"id\": 6}, {\"name\": \"SFO\", \"id\": 7}, {\"name\": \"SGC\", \"id\": 8}], \"links\": [{\"weight\": 15573, \"source\": 0, \"target\": 3}, {\"weight\": 3671, \"source\": 0, \"target\": 1}, {\"weight\": 14693, \"source\": 0, \"target\": 2}, {\"weight\": 5398, \"source\": 0, \"target\": 8}, {\"weight\": 16983, \"source\": 0, \"target\": 5}, {\"weight\": 14544, \"source\": 0, \"target\": 7}, {\"weight\": 7262, \"source\": 0, \"target\": 6}, {\"weight\": 17108, \"source\": 0, \"target\": 4}, {\"weight\": 18563, \"source\": 1, \"target\": 3}, {\"weight\": 15557, \"source\": 1, \"target\": 2}, {\"weight\": 5082, \"source\": 1, \"target\": 8}, {\"weight\": 17097, \"source\": 1, \"target\": 5}, {\"weight\": 11148, \"source\": 1, \"target\": 7}, {\"weight\": 7853, \"source\": 1, \"target\": 6}, {\"weight\": 13790, \"source\": 1, \"target\": 4}, {\"weight\": 5208, \"source\": 2, \"target\": 3}, {\"weight\": 11291, \"source\": 2, \"target\": 8}, {\"weight\": 2554, \"source\": 2, \"target\": 5}, {\"weight\": 6210, \"source\": 2, \"target\": 7}, {\"weight\": 9035, \"source\": 2, \"target\": 6}, {\"weight\": 9277, \"source\": 2, \"target\": 4}, {\"weight\": 14391, \"source\": 3, \"target\": 8}, {\"weight\": 5746, \"source\": 3, \"target\": 5}, {\"weight\": 10545, \"source\": 3, \"target\": 7}, {\"weight\": 12248, \"source\": 3, \"target\": 6}, {\"weight\": 14044, \"source\": 3, \"target\": 4}, {\"weight\": 14605, \"source\": 4, \"target\": 8}, {\"weight\": 10195, \"source\": 4, \"target\": 5}, {\"weight\": 4416, \"source\": 4, \"target\": 7}, {\"weight\": 12162, \"source\": 4, \"target\": 6}, {\"weight\": 13576, \"source\": 5, \"target\": 8}, {\"weight\": 6361, \"source\": 5, \"target\": 7}, {\"weight\": 11320, \"source\": 5, \"target\": 6}, {\"weight\": 3499, \"source\": 6, \"target\": 8}, {\"weight\": 9764, \"source\": 6, \"target\": 7}, {\"weight\": 12207, \"source\": 7, \"target\": 8}]}", "id": 1347, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: VGA, KWL, NEV, DOU, KFP, PUU, NRK, SFO, SGC\n- Travel distances (in kilometers) between each pair of airports:\nVGA to DOU: 15573\nVGA to KWL: 3671\nVGA to NEV: 14693\nVGA to SGC: 5398\nVGA to PUU: 16983\nVGA to SFO: 14544\nVGA to NRK: 7262\nVGA to KFP: 17108\nKWL to DOU: 18563\nKWL to NEV: 15557\nKWL to SGC: 5082\nKWL to PUU: 17097\nKWL to SFO: 11148\nKWL to NRK: 7853\nKWL to KFP: 13790\nNEV to DOU: 5208\nNEV to SGC: 11291\nNEV to PUU: 2554\nNEV to SFO: 6210\nNEV to NRK: 9035\nNEV to KFP: 9277\nDOU to SGC: 14391\nDOU to PUU: 5746\nDOU to SFO: 10545\nDOU to NRK: 12248\nDOU to KFP: 14044\nKFP to SGC: 14605\nKFP to PUU: 10195\nKFP to SFO: 4416\nKFP to NRK: 12162\nPUU to SGC: 13576\nPUU to SFO: 6361\nPUU to NRK: 11320\nNRK to SGC: 3499\nNRK to SFO: 9764\nSFO to SGC: 12207\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: IRA, MFM, VII, KGT, KJA, JAU, SOQ, YTH, LUX\n- Travel distances (in kilometers) between each pair of airports:\nIRA to MFM: 6723\nIRA to YTH: 14303\nIRA to KJA: 10947\nIRA to LUX: 16030\nIRA to VII: 7617\nIRA to SOQ: 7155\nIRA to KGT: 8246\nIRA to JAU: 16044\nMFM to YTH: 12791\nMFM to KJA: 4518\nMFM to LUX: 9325\nMFM to VII: 1087\nMFM to SOQ: 4870\nMFM to KGT: 1533\nMFM to JAU: 18603\nVII to YTH: 13620\nVII to KJA: 5114\nVII to LUX: 9163\nVII to SOQ: 5045\nVII to KGT: 1526\nVII to JAU: 19406\nKGT to YTH: 12760\nKGT to KJA: 4177\nKGT to LUX: 8178\nKGT to SOQ: 5997\nKGT to JAU: 18546\nKJA to YTH: 12626\nKJA to LUX: 5462\nKJA to SOQ: 8950\nKJA to JAU: 15966\nJAU to YTH: 8011\nJAU to LUX: 10727\nJAU to SOQ: 20599\nSOQ to YTH: 16555\nSOQ to LUX: 13521\nYTH to LUX: 8200\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 56532, "style": "rule" }
{ "exact_answer": 56532, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"IRA\", \"id\": 0}, {\"name\": \"MFM\", \"id\": 1}, {\"name\": \"VII\", \"id\": 2}, {\"name\": \"KGT\", \"id\": 3}, {\"name\": \"KJA\", \"id\": 4}, {\"name\": \"JAU\", \"id\": 5}, {\"name\": \"SOQ\", \"id\": 6}, {\"name\": \"YTH\", \"id\": 7}, {\"name\": \"LUX\", \"id\": 8}], \"links\": [{\"weight\": 6723, \"source\": 0, \"target\": 1}, {\"weight\": 14303, \"source\": 0, \"target\": 7}, {\"weight\": 10947, \"source\": 0, \"target\": 4}, {\"weight\": 16030, \"source\": 0, \"target\": 8}, {\"weight\": 7617, \"source\": 0, \"target\": 2}, {\"weight\": 7155, \"source\": 0, \"target\": 6}, {\"weight\": 8246, \"source\": 0, \"target\": 3}, {\"weight\": 16044, \"source\": 0, \"target\": 5}, {\"weight\": 12791, \"source\": 1, \"target\": 7}, {\"weight\": 4518, \"source\": 1, \"target\": 4}, {\"weight\": 9325, \"source\": 1, \"target\": 8}, {\"weight\": 1087, \"source\": 1, \"target\": 2}, {\"weight\": 4870, \"source\": 1, \"target\": 6}, {\"weight\": 1533, \"source\": 1, \"target\": 3}, {\"weight\": 18603, \"source\": 1, \"target\": 5}, {\"weight\": 13620, \"source\": 2, \"target\": 7}, {\"weight\": 5114, \"source\": 2, \"target\": 4}, {\"weight\": 9163, \"source\": 2, \"target\": 8}, {\"weight\": 5045, \"source\": 2, \"target\": 6}, {\"weight\": 1526, \"source\": 2, \"target\": 3}, {\"weight\": 19406, \"source\": 2, \"target\": 5}, {\"weight\": 12760, \"source\": 3, \"target\": 7}, {\"weight\": 4177, \"source\": 3, \"target\": 4}, {\"weight\": 8178, \"source\": 3, \"target\": 8}, {\"weight\": 5997, \"source\": 3, \"target\": 6}, {\"weight\": 18546, \"source\": 3, \"target\": 5}, {\"weight\": 12626, \"source\": 4, \"target\": 7}, {\"weight\": 5462, \"source\": 4, \"target\": 8}, {\"weight\": 8950, \"source\": 4, \"target\": 6}, {\"weight\": 15966, \"source\": 4, \"target\": 5}, {\"weight\": 8011, \"source\": 5, \"target\": 7}, {\"weight\": 10727, \"source\": 5, \"target\": 8}, {\"weight\": 20599, \"source\": 5, \"target\": 6}, {\"weight\": 16555, \"source\": 6, \"target\": 7}, {\"weight\": 13521, \"source\": 6, \"target\": 8}, {\"weight\": 8200, \"source\": 7, \"target\": 8}]}", "id": 1348, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: IRA, MFM, VII, KGT, KJA, JAU, SOQ, YTH, LUX\n- Travel distances (in kilometers) between each pair of airports:\nIRA to MFM: 6723\nIRA to YTH: 14303\nIRA to KJA: 10947\nIRA to LUX: 16030\nIRA to VII: 7617\nIRA to SOQ: 7155\nIRA to KGT: 8246\nIRA to JAU: 16044\nMFM to YTH: 12791\nMFM to KJA: 4518\nMFM to LUX: 9325\nMFM to VII: 1087\nMFM to SOQ: 4870\nMFM to KGT: 1533\nMFM to JAU: 18603\nVII to YTH: 13620\nVII to KJA: 5114\nVII to LUX: 9163\nVII to SOQ: 5045\nVII to KGT: 1526\nVII to JAU: 19406\nKGT to YTH: 12760\nKGT to KJA: 4177\nKGT to LUX: 8178\nKGT to SOQ: 5997\nKGT to JAU: 18546\nKJA to YTH: 12626\nKJA to LUX: 5462\nKJA to SOQ: 8950\nKJA to JAU: 15966\nJAU to YTH: 8011\nJAU to LUX: 10727\nJAU to SOQ: 20599\nSOQ to YTH: 16555\nSOQ to LUX: 13521\nYTH to LUX: 8200\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: YYY, CYS, GEG, MOT, MAB, ACY, XFN, CIF, SDN\n- Travel distances (in kilometers) between each pair of airports:\nYYY to GEG: 3953\nYYY to MAB: 6880\nYYY to CIF: 11912\nYYY to XFN: 12565\nYYY to MOT: 2788\nYYY to CYS: 3275\nYYY to ACY: 1393\nYYY to SDN: 6449\nCYS to GEG: 1486\nCYS to MAB: 7900\nCYS to CIF: 10319\nCYS to XFN: 11386\nCYS to MOT: 1116\nCYS to ACY: 2725\nCYS to SDN: 7592\nGEG to MAB: 9098\nGEG to CIF: 8948\nGEG to XFN: 9998\nGEG to MOT: 2314\nGEG to ACY: 3530\nGEG to SDN: 7891\nMOT to MAB: 7958\nMOT to CIF: 11147\nMOT to XFN: 12214\nMOT to ACY: 2365\nMOT to SDN: 7700\nMAB to CIF: 16872\nMAB to XFN: 17454\nMAB to ACY: 6400\nMAB to SDN: 9758\nACY to CIF: 11753\nACY to XFN: 12406\nACY to SDN: 6037\nXFN to CIF: 1269\nXFN to SDN: 8356\nCIF to SDN: 7703\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 41514, "style": "rule" }
{ "exact_answer": 41514, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"YYY\", \"id\": 0}, {\"name\": \"CYS\", \"id\": 1}, {\"name\": \"GEG\", \"id\": 2}, {\"name\": \"MOT\", \"id\": 3}, {\"name\": \"MAB\", \"id\": 4}, {\"name\": \"ACY\", \"id\": 5}, {\"name\": \"XFN\", \"id\": 6}, {\"name\": \"CIF\", \"id\": 7}, {\"name\": \"SDN\", \"id\": 8}], \"links\": [{\"weight\": 3953, \"source\": 0, \"target\": 2}, {\"weight\": 6880, \"source\": 0, \"target\": 4}, {\"weight\": 11912, \"source\": 0, \"target\": 7}, {\"weight\": 12565, \"source\": 0, \"target\": 6}, {\"weight\": 2788, \"source\": 0, \"target\": 3}, {\"weight\": 3275, \"source\": 0, \"target\": 1}, {\"weight\": 1393, \"source\": 0, \"target\": 5}, {\"weight\": 6449, \"source\": 0, \"target\": 8}, {\"weight\": 1486, \"source\": 1, \"target\": 2}, {\"weight\": 7900, \"source\": 1, \"target\": 4}, {\"weight\": 10319, \"source\": 1, \"target\": 7}, {\"weight\": 11386, \"source\": 1, \"target\": 6}, {\"weight\": 1116, \"source\": 1, \"target\": 3}, {\"weight\": 2725, \"source\": 1, \"target\": 5}, {\"weight\": 7592, \"source\": 1, \"target\": 8}, {\"weight\": 9098, \"source\": 2, \"target\": 4}, {\"weight\": 8948, \"source\": 2, \"target\": 7}, {\"weight\": 9998, \"source\": 2, \"target\": 6}, {\"weight\": 2314, \"source\": 2, \"target\": 3}, {\"weight\": 3530, \"source\": 2, \"target\": 5}, {\"weight\": 7891, \"source\": 2, \"target\": 8}, {\"weight\": 7958, \"source\": 3, \"target\": 4}, {\"weight\": 11147, \"source\": 3, \"target\": 7}, {\"weight\": 12214, \"source\": 3, \"target\": 6}, {\"weight\": 2365, \"source\": 3, \"target\": 5}, {\"weight\": 7700, \"source\": 3, \"target\": 8}, {\"weight\": 16872, \"source\": 4, \"target\": 7}, {\"weight\": 17454, \"source\": 4, \"target\": 6}, {\"weight\": 6400, \"source\": 4, \"target\": 5}, {\"weight\": 9758, \"source\": 4, \"target\": 8}, {\"weight\": 11753, \"source\": 5, \"target\": 7}, {\"weight\": 12406, \"source\": 5, \"target\": 6}, {\"weight\": 6037, \"source\": 5, \"target\": 8}, {\"weight\": 1269, \"source\": 6, \"target\": 7}, {\"weight\": 8356, \"source\": 6, \"target\": 8}, {\"weight\": 7703, \"source\": 7, \"target\": 8}]}", "id": 1349, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: YYY, CYS, GEG, MOT, MAB, ACY, XFN, CIF, SDN\n- Travel distances (in kilometers) between each pair of airports:\nYYY to GEG: 3953\nYYY to MAB: 6880\nYYY to CIF: 11912\nYYY to XFN: 12565\nYYY to MOT: 2788\nYYY to CYS: 3275\nYYY to ACY: 1393\nYYY to SDN: 6449\nCYS to GEG: 1486\nCYS to MAB: 7900\nCYS to CIF: 10319\nCYS to XFN: 11386\nCYS to MOT: 1116\nCYS to ACY: 2725\nCYS to SDN: 7592\nGEG to MAB: 9098\nGEG to CIF: 8948\nGEG to XFN: 9998\nGEG to MOT: 2314\nGEG to ACY: 3530\nGEG to SDN: 7891\nMOT to MAB: 7958\nMOT to CIF: 11147\nMOT to XFN: 12214\nMOT to ACY: 2365\nMOT to SDN: 7700\nMAB to CIF: 16872\nMAB to XFN: 17454\nMAB to ACY: 6400\nMAB to SDN: 9758\nACY to CIF: 11753\nACY to XFN: 12406\nACY to SDN: 6037\nXFN to CIF: 1269\nXFN to SDN: 8356\nCIF to SDN: 7703\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: XMS, YBR, MLG, LUR, RES, TXN, BHJ, MZV, LAE\n- Travel distances (in kilometers) between each pair of airports:\nXMS to LUR: 10432\nXMS to BHJ: 17096\nXMS to RES: 5533\nXMS to MZV: 18955\nXMS to TXN: 16529\nXMS to LAE: 18386\nXMS to MLG: 20273\nXMS to YBR: 7852\nYBR to LUR: 5196\nYBR to BHJ: 15281\nYBR to RES: 12837\nYBR to MZV: 13342\nYBR to TXN: 11032\nYBR to LAE: 14347\nYBR to MLG: 14842\nMLG to LUR: 17019\nMLG to BHJ: 6021\nMLG to RES: 18185\nMLG to MZV: 2078\nMLG to TXN: 4682\nMLG to LAE: 4126\nLUR to BHJ: 17506\nLUR to RES: 15417\nLUR to MZV: 15486\nLUR to TXN: 12987\nLUR to LAE: 14436\nRES to BHJ: 16818\nRES to MZV: 19693\nRES to TXN: 20832\nRES to LAE: 16298\nTXN to BHJ: 5321\nTXN to MZV: 3027\nTXN to LAE: 5984\nBHJ to MZV: 5534\nBHJ to LAE: 9750\nMZV to LAE: 5047\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 64387, "style": "rule" }
{ "exact_answer": 64387, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"XMS\", \"id\": 0}, {\"name\": \"YBR\", \"id\": 1}, {\"name\": \"MLG\", \"id\": 2}, {\"name\": \"LUR\", \"id\": 3}, {\"name\": \"RES\", \"id\": 4}, {\"name\": \"TXN\", \"id\": 5}, {\"name\": \"BHJ\", \"id\": 6}, {\"name\": \"MZV\", \"id\": 7}, {\"name\": \"LAE\", \"id\": 8}], \"links\": [{\"weight\": 10432, \"source\": 0, \"target\": 3}, {\"weight\": 17096, \"source\": 0, \"target\": 6}, {\"weight\": 5533, \"source\": 0, \"target\": 4}, {\"weight\": 18955, \"source\": 0, \"target\": 7}, {\"weight\": 16529, \"source\": 0, \"target\": 5}, {\"weight\": 18386, \"source\": 0, \"target\": 8}, {\"weight\": 20273, \"source\": 0, \"target\": 2}, {\"weight\": 7852, \"source\": 0, \"target\": 1}, {\"weight\": 5196, \"source\": 1, \"target\": 3}, {\"weight\": 15281, \"source\": 1, \"target\": 6}, {\"weight\": 12837, \"source\": 1, \"target\": 4}, {\"weight\": 13342, \"source\": 1, \"target\": 7}, {\"weight\": 11032, \"source\": 1, \"target\": 5}, {\"weight\": 14347, \"source\": 1, \"target\": 8}, {\"weight\": 14842, \"source\": 1, \"target\": 2}, {\"weight\": 17019, \"source\": 2, \"target\": 3}, {\"weight\": 6021, \"source\": 2, \"target\": 6}, {\"weight\": 18185, \"source\": 2, \"target\": 4}, {\"weight\": 2078, \"source\": 2, \"target\": 7}, {\"weight\": 4682, \"source\": 2, \"target\": 5}, {\"weight\": 4126, \"source\": 2, \"target\": 8}, {\"weight\": 17506, \"source\": 3, \"target\": 6}, {\"weight\": 15417, \"source\": 3, \"target\": 4}, {\"weight\": 15486, \"source\": 3, \"target\": 7}, {\"weight\": 12987, \"source\": 3, \"target\": 5}, {\"weight\": 14436, \"source\": 3, \"target\": 8}, {\"weight\": 16818, \"source\": 4, \"target\": 6}, {\"weight\": 19693, \"source\": 4, \"target\": 7}, {\"weight\": 20832, \"source\": 4, \"target\": 5}, {\"weight\": 16298, \"source\": 4, \"target\": 8}, {\"weight\": 5321, \"source\": 5, \"target\": 6}, {\"weight\": 3027, \"source\": 5, \"target\": 7}, {\"weight\": 5984, \"source\": 5, \"target\": 8}, {\"weight\": 5534, \"source\": 6, \"target\": 7}, {\"weight\": 9750, \"source\": 6, \"target\": 8}, {\"weight\": 5047, \"source\": 7, \"target\": 8}]}", "id": 1350, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: XMS, YBR, MLG, LUR, RES, TXN, BHJ, MZV, LAE\n- Travel distances (in kilometers) between each pair of airports:\nXMS to LUR: 10432\nXMS to BHJ: 17096\nXMS to RES: 5533\nXMS to MZV: 18955\nXMS to TXN: 16529\nXMS to LAE: 18386\nXMS to MLG: 20273\nXMS to YBR: 7852\nYBR to LUR: 5196\nYBR to BHJ: 15281\nYBR to RES: 12837\nYBR to MZV: 13342\nYBR to TXN: 11032\nYBR to LAE: 14347\nYBR to MLG: 14842\nMLG to LUR: 17019\nMLG to BHJ: 6021\nMLG to RES: 18185\nMLG to MZV: 2078\nMLG to TXN: 4682\nMLG to LAE: 4126\nLUR to BHJ: 17506\nLUR to RES: 15417\nLUR to MZV: 15486\nLUR to TXN: 12987\nLUR to LAE: 14436\nRES to BHJ: 16818\nRES to MZV: 19693\nRES to TXN: 20832\nRES to LAE: 16298\nTXN to BHJ: 5321\nTXN to MZV: 3027\nTXN to LAE: 5984\nBHJ to MZV: 5534\nBHJ to LAE: 9750\nMZV to LAE: 5047\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: MFE, TPQ, AVV, UUS, ZGU, OIA, NUL, CRA, LWY\n- Travel distances (in kilometers) between each pair of airports:\nMFE to NUL: 6283\nMFE to TPQ: 1394\nMFE to UUS: 12087\nMFE to AVV: 15140\nMFE to LWY: 15074\nMFE to ZGU: 12600\nMFE to OIA: 7269\nMFE to CRA: 10237\nTPQ to NUL: 7380\nTPQ to UUS: 11925\nTPQ to AVV: 15954\nTPQ to LWY: 14958\nTPQ to ZGU: 13414\nTPQ to OIA: 7389\nTPQ to CRA: 11512\nAVV to NUL: 14299\nAVV to UUS: 9837\nAVV to LWY: 7154\nAVV to ZGU: 3620\nAVV to OIA: 16975\nAVV to CRA: 18427\nUUS to NUL: 11849\nUUS to LWY: 5417\nUUS to ZGU: 9173\nUUS to OIA: 17707\nUUS to CRA: 10004\nZGU to NUL: 11864\nZGU to LWY: 7720\nZGU to OIA: 17189\nZGU to CRA: 18597\nOIA to NUL: 12409\nOIA to LWY: 19496\nOIA to CRA: 9970\nNUL to LWY: 14882\nNUL to CRA: 12590\nCRA to LWY: 12303\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 63095, "style": "rule" }
{ "exact_answer": 63095, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"MFE\", \"id\": 0}, {\"name\": \"TPQ\", \"id\": 1}, {\"name\": \"AVV\", \"id\": 2}, {\"name\": \"UUS\", \"id\": 3}, {\"name\": \"ZGU\", \"id\": 4}, {\"name\": \"OIA\", \"id\": 5}, {\"name\": \"NUL\", \"id\": 6}, {\"name\": \"CRA\", \"id\": 7}, {\"name\": \"LWY\", \"id\": 8}], \"links\": [{\"weight\": 6283, \"source\": 0, \"target\": 6}, {\"weight\": 1394, \"source\": 0, \"target\": 1}, {\"weight\": 12087, \"source\": 0, \"target\": 3}, {\"weight\": 15140, \"source\": 0, \"target\": 2}, {\"weight\": 15074, \"source\": 0, \"target\": 8}, {\"weight\": 12600, \"source\": 0, \"target\": 4}, {\"weight\": 7269, \"source\": 0, \"target\": 5}, {\"weight\": 10237, \"source\": 0, \"target\": 7}, {\"weight\": 7380, \"source\": 1, \"target\": 6}, {\"weight\": 11925, \"source\": 1, \"target\": 3}, {\"weight\": 15954, \"source\": 1, \"target\": 2}, {\"weight\": 14958, \"source\": 1, \"target\": 8}, {\"weight\": 13414, \"source\": 1, \"target\": 4}, {\"weight\": 7389, \"source\": 1, \"target\": 5}, {\"weight\": 11512, \"source\": 1, \"target\": 7}, {\"weight\": 14299, \"source\": 2, \"target\": 6}, {\"weight\": 9837, \"source\": 2, \"target\": 3}, {\"weight\": 7154, \"source\": 2, \"target\": 8}, {\"weight\": 3620, \"source\": 2, \"target\": 4}, {\"weight\": 16975, \"source\": 2, \"target\": 5}, {\"weight\": 18427, \"source\": 2, \"target\": 7}, {\"weight\": 11849, \"source\": 3, \"target\": 6}, {\"weight\": 5417, \"source\": 3, \"target\": 8}, {\"weight\": 9173, \"source\": 3, \"target\": 4}, {\"weight\": 17707, \"source\": 3, \"target\": 5}, {\"weight\": 10004, \"source\": 3, \"target\": 7}, {\"weight\": 11864, \"source\": 4, \"target\": 6}, {\"weight\": 7720, \"source\": 4, \"target\": 8}, {\"weight\": 17189, \"source\": 4, \"target\": 5}, {\"weight\": 18597, \"source\": 4, \"target\": 7}, {\"weight\": 12409, \"source\": 5, \"target\": 6}, {\"weight\": 19496, \"source\": 5, \"target\": 8}, {\"weight\": 9970, \"source\": 5, \"target\": 7}, {\"weight\": 14882, \"source\": 6, \"target\": 8}, {\"weight\": 12590, \"source\": 6, \"target\": 7}, {\"weight\": 12303, \"source\": 7, \"target\": 8}]}", "id": 1351, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: MFE, TPQ, AVV, UUS, ZGU, OIA, NUL, CRA, LWY\n- Travel distances (in kilometers) between each pair of airports:\nMFE to NUL: 6283\nMFE to TPQ: 1394\nMFE to UUS: 12087\nMFE to AVV: 15140\nMFE to LWY: 15074\nMFE to ZGU: 12600\nMFE to OIA: 7269\nMFE to CRA: 10237\nTPQ to NUL: 7380\nTPQ to UUS: 11925\nTPQ to AVV: 15954\nTPQ to LWY: 14958\nTPQ to ZGU: 13414\nTPQ to OIA: 7389\nTPQ to CRA: 11512\nAVV to NUL: 14299\nAVV to UUS: 9837\nAVV to LWY: 7154\nAVV to ZGU: 3620\nAVV to OIA: 16975\nAVV to CRA: 18427\nUUS to NUL: 11849\nUUS to LWY: 5417\nUUS to ZGU: 9173\nUUS to OIA: 17707\nUUS to CRA: 10004\nZGU to NUL: 11864\nZGU to LWY: 7720\nZGU to OIA: 17189\nZGU to CRA: 18597\nOIA to NUL: 12409\nOIA to LWY: 19496\nOIA to CRA: 9970\nNUL to LWY: 14882\nNUL to CRA: 12590\nCRA to LWY: 12303\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: GMP, BUF, SVR, YHI, MRZ, SHB, SDR, YMN, PZH\n- Travel distances (in kilometers) between each pair of airports:\nGMP to YHI: 11432\nGMP to BUF: 11852\nGMP to SDR: 9925\nGMP to SVR: 12933\nGMP to SHB: 1991\nGMP to YMN: 13614\nGMP to PZH: 5360\nGMP to MRZ: 9075\nBUF to YHI: 4878\nBUF to SDR: 6437\nBUF to SVR: 7763\nBUF to SHB: 11724\nBUF to YMN: 2485\nBUF to PZH: 11880\nBUF to MRZ: 16130\nSVR to YHI: 10134\nSVR to SDR: 6023\nSVR to SHB: 13718\nSVR to YMN: 8980\nSVR to PZH: 10568\nSVR to MRZ: 21411\nYHI to SDR: 9647\nYHI to SHB: 11212\nYHI to YMN: 5120\nYHI to PZH: 14251\nYHI to MRZ: 15777\nMRZ to SDR: 18156\nMRZ to SHB: 9407\nMRZ to YMN: 18154\nMRZ to PZH: 12124\nSHB to SDR: 10641\nSHB to YMN: 13492\nSHB to PZH: 6819\nSDR to YMN: 6344\nSDR to PZH: 6649\nYMN to PZH: 11187\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 60575, "style": "rule" }
{ "exact_answer": 60575, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"GMP\", \"id\": 0}, {\"name\": \"BUF\", \"id\": 1}, {\"name\": \"SVR\", \"id\": 2}, {\"name\": \"YHI\", \"id\": 3}, {\"name\": \"MRZ\", \"id\": 4}, {\"name\": \"SHB\", \"id\": 5}, {\"name\": \"SDR\", \"id\": 6}, {\"name\": \"YMN\", \"id\": 7}, {\"name\": \"PZH\", \"id\": 8}], \"links\": [{\"weight\": 11432, \"source\": 0, \"target\": 3}, {\"weight\": 11852, \"source\": 0, \"target\": 1}, {\"weight\": 9925, \"source\": 0, \"target\": 6}, {\"weight\": 12933, \"source\": 0, \"target\": 2}, {\"weight\": 1991, \"source\": 0, \"target\": 5}, {\"weight\": 13614, \"source\": 0, \"target\": 7}, {\"weight\": 5360, \"source\": 0, \"target\": 8}, {\"weight\": 9075, \"source\": 0, \"target\": 4}, {\"weight\": 4878, \"source\": 1, \"target\": 3}, {\"weight\": 6437, \"source\": 1, \"target\": 6}, {\"weight\": 7763, \"source\": 1, \"target\": 2}, {\"weight\": 11724, \"source\": 1, \"target\": 5}, {\"weight\": 2485, \"source\": 1, \"target\": 7}, {\"weight\": 11880, \"source\": 1, \"target\": 8}, {\"weight\": 16130, \"source\": 1, \"target\": 4}, {\"weight\": 10134, \"source\": 2, \"target\": 3}, {\"weight\": 6023, \"source\": 2, \"target\": 6}, {\"weight\": 13718, \"source\": 2, \"target\": 5}, {\"weight\": 8980, \"source\": 2, \"target\": 7}, {\"weight\": 10568, \"source\": 2, \"target\": 8}, {\"weight\": 21411, \"source\": 2, \"target\": 4}, {\"weight\": 9647, \"source\": 3, \"target\": 6}, {\"weight\": 11212, \"source\": 3, \"target\": 5}, {\"weight\": 5120, \"source\": 3, \"target\": 7}, {\"weight\": 14251, \"source\": 3, \"target\": 8}, {\"weight\": 15777, \"source\": 3, \"target\": 4}, {\"weight\": 18156, \"source\": 4, \"target\": 6}, {\"weight\": 9407, \"source\": 4, \"target\": 5}, {\"weight\": 18154, \"source\": 4, \"target\": 7}, {\"weight\": 12124, \"source\": 4, \"target\": 8}, {\"weight\": 10641, \"source\": 5, \"target\": 6}, {\"weight\": 13492, \"source\": 5, \"target\": 7}, {\"weight\": 6819, \"source\": 5, \"target\": 8}, {\"weight\": 6344, \"source\": 6, \"target\": 7}, {\"weight\": 6649, \"source\": 6, \"target\": 8}, {\"weight\": 11187, \"source\": 7, \"target\": 8}]}", "id": 1352, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: GMP, BUF, SVR, YHI, MRZ, SHB, SDR, YMN, PZH\n- Travel distances (in kilometers) between each pair of airports:\nGMP to YHI: 11432\nGMP to BUF: 11852\nGMP to SDR: 9925\nGMP to SVR: 12933\nGMP to SHB: 1991\nGMP to YMN: 13614\nGMP to PZH: 5360\nGMP to MRZ: 9075\nBUF to YHI: 4878\nBUF to SDR: 6437\nBUF to SVR: 7763\nBUF to SHB: 11724\nBUF to YMN: 2485\nBUF to PZH: 11880\nBUF to MRZ: 16130\nSVR to YHI: 10134\nSVR to SDR: 6023\nSVR to SHB: 13718\nSVR to YMN: 8980\nSVR to PZH: 10568\nSVR to MRZ: 21411\nYHI to SDR: 9647\nYHI to SHB: 11212\nYHI to YMN: 5120\nYHI to PZH: 14251\nYHI to MRZ: 15777\nMRZ to SDR: 18156\nMRZ to SHB: 9407\nMRZ to YMN: 18154\nMRZ to PZH: 12124\nSHB to SDR: 10641\nSHB to YMN: 13492\nSHB to PZH: 6819\nSDR to YMN: 6344\nSDR to PZH: 6649\nYMN to PZH: 11187\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: AAX, YWH, CEE, SMI, BVH, PMI, VCS, PIU, SGG\n- Travel distances (in kilometers) between each pair of airports:\nAAX to PMI: 8756\nAAX to SMI: 10778\nAAX to BVH: 2332\nAAX to CEE: 11795\nAAX to SGG: 13282\nAAX to YWH: 11437\nAAX to PIU: 5117\nAAX to VCS: 18033\nYWH to PMI: 9145\nYWH to SMI: 10335\nYWH to BVH: 10836\nYWH to CEE: 9131\nYWH to SGG: 8138\nYWH to PIU: 9028\nYWH to VCS: 12308\nCEE to PMI: 3356\nCEE to SMI: 2845\nCEE to BVH: 12713\nCEE to SGG: 5373\nCEE to PIU: 13525\nCEE to VCS: 8352\nSMI to PMI: 2187\nSMI to BVH: 11560\nSMI to SGG: 6444\nSMI to PIU: 13014\nSMI to VCS: 9158\nBVH to PMI: 9538\nBVH to SGG: 13932\nBVH to PIU: 6048\nBVH to VCS: 19108\nPMI to SGG: 5387\nPMI to PIU: 10922\nPMI to VCS: 10687\nVCS to SGG: 13386\nVCS to PIU: 20938\nPIU to SGG: 13061\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 59223, "style": "rule" }
{ "exact_answer": 59223, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"AAX\", \"id\": 0}, {\"name\": \"YWH\", \"id\": 1}, {\"name\": \"CEE\", \"id\": 2}, {\"name\": \"SMI\", \"id\": 3}, {\"name\": \"BVH\", \"id\": 4}, {\"name\": \"PMI\", \"id\": 5}, {\"name\": \"VCS\", \"id\": 6}, {\"name\": \"PIU\", \"id\": 7}, {\"name\": \"SGG\", \"id\": 8}], \"links\": [{\"weight\": 8756, \"source\": 0, \"target\": 5}, {\"weight\": 10778, \"source\": 0, \"target\": 3}, {\"weight\": 2332, \"source\": 0, \"target\": 4}, {\"weight\": 11795, \"source\": 0, \"target\": 2}, {\"weight\": 13282, \"source\": 0, \"target\": 8}, {\"weight\": 11437, \"source\": 0, \"target\": 1}, {\"weight\": 5117, \"source\": 0, \"target\": 7}, {\"weight\": 18033, \"source\": 0, \"target\": 6}, {\"weight\": 9145, \"source\": 1, \"target\": 5}, {\"weight\": 10335, \"source\": 1, \"target\": 3}, {\"weight\": 10836, \"source\": 1, \"target\": 4}, {\"weight\": 9131, \"source\": 1, \"target\": 2}, {\"weight\": 8138, \"source\": 1, \"target\": 8}, {\"weight\": 9028, \"source\": 1, \"target\": 7}, {\"weight\": 12308, \"source\": 1, \"target\": 6}, {\"weight\": 3356, \"source\": 2, \"target\": 5}, {\"weight\": 2845, \"source\": 2, \"target\": 3}, {\"weight\": 12713, \"source\": 2, \"target\": 4}, {\"weight\": 5373, \"source\": 2, \"target\": 8}, {\"weight\": 13525, \"source\": 2, \"target\": 7}, {\"weight\": 8352, \"source\": 2, \"target\": 6}, {\"weight\": 2187, \"source\": 3, \"target\": 5}, {\"weight\": 11560, \"source\": 3, \"target\": 4}, {\"weight\": 6444, \"source\": 3, \"target\": 8}, {\"weight\": 13014, \"source\": 3, \"target\": 7}, {\"weight\": 9158, \"source\": 3, \"target\": 6}, {\"weight\": 9538, \"source\": 4, \"target\": 5}, {\"weight\": 13932, \"source\": 4, \"target\": 8}, {\"weight\": 6048, \"source\": 4, \"target\": 7}, {\"weight\": 19108, \"source\": 4, \"target\": 6}, {\"weight\": 5387, \"source\": 5, \"target\": 8}, {\"weight\": 10922, \"source\": 5, \"target\": 7}, {\"weight\": 10687, \"source\": 5, \"target\": 6}, {\"weight\": 13386, \"source\": 6, \"target\": 8}, {\"weight\": 20938, \"source\": 6, \"target\": 7}, {\"weight\": 13061, \"source\": 7, \"target\": 8}]}", "id": 1353, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: AAX, YWH, CEE, SMI, BVH, PMI, VCS, PIU, SGG\n- Travel distances (in kilometers) between each pair of airports:\nAAX to PMI: 8756\nAAX to SMI: 10778\nAAX to BVH: 2332\nAAX to CEE: 11795\nAAX to SGG: 13282\nAAX to YWH: 11437\nAAX to PIU: 5117\nAAX to VCS: 18033\nYWH to PMI: 9145\nYWH to SMI: 10335\nYWH to BVH: 10836\nYWH to CEE: 9131\nYWH to SGG: 8138\nYWH to PIU: 9028\nYWH to VCS: 12308\nCEE to PMI: 3356\nCEE to SMI: 2845\nCEE to BVH: 12713\nCEE to SGG: 5373\nCEE to PIU: 13525\nCEE to VCS: 8352\nSMI to PMI: 2187\nSMI to BVH: 11560\nSMI to SGG: 6444\nSMI to PIU: 13014\nSMI to VCS: 9158\nBVH to PMI: 9538\nBVH to SGG: 13932\nBVH to PIU: 6048\nBVH to VCS: 19108\nPMI to SGG: 5387\nPMI to PIU: 10922\nPMI to VCS: 10687\nVCS to SGG: 13386\nVCS to PIU: 20938\nPIU to SGG: 13061\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ERI, JOL, PEG, NIM, WNH, ESM, AHN, TUU, ESC\n- Travel distances (in kilometers) between each pair of airports:\nERI to NIM: 8847\nERI to WNH: 13258\nERI to ESC: 753\nERI to TUU: 10188\nERI to ESM: 4867\nERI to PEG: 7537\nERI to AHN: 1267\nERI to JOL: 14395\nJOL to NIM: 13770\nJOL to WNH: 3542\nJOL to ESC: 14624\nJOL to TUU: 9768\nJOL to ESM: 18416\nJOL to PEG: 11704\nJOL to AHN: 14921\nPEG to NIM: 4287\nPEG to WNH: 8847\nPEG to ESC: 7904\nPEG to TUU: 3165\nPEG to ESM: 10361\nPEG to AHN: 8490\nNIM to WNH: 10853\nNIM to ESC: 9437\nNIM to TUU: 4719\nNIM to ESM: 10761\nNIM to AHN: 9824\nWNH to ESC: 13487\nWNH to TUU: 6820\nWNH to ESM: 17807\nWNH to AHN: 13959\nESM to ESC: 5305\nESM to TUU: 12601\nESM to AHN: 4656\nAHN to ESC: 1614\nAHN to TUU: 11157\nTUU to ESC: 10601\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 49875, "style": "rule" }
{ "exact_answer": 49875, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"ERI\", \"id\": 0}, {\"name\": \"JOL\", \"id\": 1}, {\"name\": \"PEG\", \"id\": 2}, {\"name\": \"NIM\", \"id\": 3}, {\"name\": \"WNH\", \"id\": 4}, {\"name\": \"ESM\", \"id\": 5}, {\"name\": \"AHN\", \"id\": 6}, {\"name\": \"TUU\", \"id\": 7}, {\"name\": \"ESC\", \"id\": 8}], \"links\": [{\"weight\": 8847, \"source\": 0, \"target\": 3}, {\"weight\": 13258, \"source\": 0, \"target\": 4}, {\"weight\": 753, \"source\": 0, \"target\": 8}, {\"weight\": 10188, \"source\": 0, \"target\": 7}, {\"weight\": 4867, \"source\": 0, \"target\": 5}, {\"weight\": 7537, \"source\": 0, \"target\": 2}, {\"weight\": 1267, \"source\": 0, \"target\": 6}, {\"weight\": 14395, \"source\": 0, \"target\": 1}, {\"weight\": 13770, \"source\": 1, \"target\": 3}, {\"weight\": 3542, \"source\": 1, \"target\": 4}, {\"weight\": 14624, \"source\": 1, \"target\": 8}, {\"weight\": 9768, \"source\": 1, \"target\": 7}, {\"weight\": 18416, \"source\": 1, \"target\": 5}, {\"weight\": 11704, \"source\": 1, \"target\": 2}, {\"weight\": 14921, \"source\": 1, \"target\": 6}, {\"weight\": 4287, \"source\": 2, \"target\": 3}, {\"weight\": 8847, \"source\": 2, \"target\": 4}, {\"weight\": 7904, \"source\": 2, \"target\": 8}, {\"weight\": 3165, \"source\": 2, \"target\": 7}, {\"weight\": 10361, \"source\": 2, \"target\": 5}, {\"weight\": 8490, \"source\": 2, \"target\": 6}, {\"weight\": 10853, \"source\": 3, \"target\": 4}, {\"weight\": 9437, \"source\": 3, \"target\": 8}, {\"weight\": 4719, \"source\": 3, \"target\": 7}, {\"weight\": 10761, \"source\": 3, \"target\": 5}, {\"weight\": 9824, \"source\": 3, \"target\": 6}, {\"weight\": 13487, \"source\": 4, \"target\": 8}, {\"weight\": 6820, \"source\": 4, \"target\": 7}, {\"weight\": 17807, \"source\": 4, \"target\": 5}, {\"weight\": 13959, \"source\": 4, \"target\": 6}, {\"weight\": 5305, \"source\": 5, \"target\": 8}, {\"weight\": 12601, \"source\": 5, \"target\": 7}, {\"weight\": 4656, \"source\": 5, \"target\": 6}, {\"weight\": 1614, \"source\": 6, \"target\": 8}, {\"weight\": 11157, \"source\": 6, \"target\": 7}, {\"weight\": 10601, \"source\": 7, \"target\": 8}]}", "id": 1354, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ERI, JOL, PEG, NIM, WNH, ESM, AHN, TUU, ESC\n- Travel distances (in kilometers) between each pair of airports:\nERI to NIM: 8847\nERI to WNH: 13258\nERI to ESC: 753\nERI to TUU: 10188\nERI to ESM: 4867\nERI to PEG: 7537\nERI to AHN: 1267\nERI to JOL: 14395\nJOL to NIM: 13770\nJOL to WNH: 3542\nJOL to ESC: 14624\nJOL to TUU: 9768\nJOL to ESM: 18416\nJOL to PEG: 11704\nJOL to AHN: 14921\nPEG to NIM: 4287\nPEG to WNH: 8847\nPEG to ESC: 7904\nPEG to TUU: 3165\nPEG to ESM: 10361\nPEG to AHN: 8490\nNIM to WNH: 10853\nNIM to ESC: 9437\nNIM to TUU: 4719\nNIM to ESM: 10761\nNIM to AHN: 9824\nWNH to ESC: 13487\nWNH to TUU: 6820\nWNH to ESM: 17807\nWNH to AHN: 13959\nESM to ESC: 5305\nESM to TUU: 12601\nESM to AHN: 4656\nAHN to ESC: 1614\nAHN to TUU: 11157\nTUU to ESC: 10601\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PZU, LRD, SDJ, TGK, BRU, VLC, YFH, KLL, YKA\n- Travel distances (in kilometers) between each pair of airports:\nPZU to TGK: 5032\nPZU to BRU: 4533\nPZU to YKA: 12227\nPZU to LRD: 13086\nPZU to VLC: 4578\nPZU to SDJ: 9933\nPZU to KLL: 15278\nPZU to YFH: 11832\nLRD to TGK: 10931\nLRD to BRU: 8585\nLRD to YKA: 3542\nLRD to VLC: 8807\nLRD to SDJ: 10915\nLRD to KLL: 5972\nLRD to YFH: 3614\nSDJ to TGK: 8556\nSDJ to BRU: 9734\nSDJ to YKA: 8028\nSDJ to VLC: 10935\nSDJ to KLL: 10761\nSDJ to YFH: 10372\nTGK to BRU: 3175\nTGK to YKA: 9914\nTGK to VLC: 4238\nTGK to KLL: 12945\nTGK to YFH: 9745\nBRU to VLC: 1326\nBRU to YKA: 7763\nBRU to KLL: 10797\nBRU to YFH: 7322\nVLC to YKA: 8768\nVLC to KLL: 11799\nVLC to YFH: 7642\nYFH to YKA: 2611\nYFH to KLL: 5722\nKLL to YKA: 3299\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 47727, "style": "rule" }
{ "exact_answer": 47727, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"PZU\", \"id\": 0}, {\"name\": \"LRD\", \"id\": 1}, {\"name\": \"SDJ\", \"id\": 2}, {\"name\": \"TGK\", \"id\": 3}, {\"name\": \"BRU\", \"id\": 4}, {\"name\": \"VLC\", \"id\": 5}, {\"name\": \"YFH\", \"id\": 6}, {\"name\": \"KLL\", \"id\": 7}, {\"name\": \"YKA\", \"id\": 8}], \"links\": [{\"weight\": 5032, \"source\": 0, \"target\": 3}, {\"weight\": 4533, \"source\": 0, \"target\": 4}, {\"weight\": 12227, \"source\": 0, \"target\": 8}, {\"weight\": 13086, \"source\": 0, \"target\": 1}, {\"weight\": 4578, \"source\": 0, \"target\": 5}, {\"weight\": 9933, \"source\": 0, \"target\": 2}, {\"weight\": 15278, \"source\": 0, \"target\": 7}, {\"weight\": 11832, \"source\": 0, \"target\": 6}, {\"weight\": 10931, \"source\": 1, \"target\": 3}, {\"weight\": 8585, \"source\": 1, \"target\": 4}, {\"weight\": 3542, \"source\": 1, \"target\": 8}, {\"weight\": 8807, \"source\": 1, \"target\": 5}, {\"weight\": 10915, \"source\": 1, \"target\": 2}, {\"weight\": 5972, \"source\": 1, \"target\": 7}, {\"weight\": 3614, \"source\": 1, \"target\": 6}, {\"weight\": 8556, \"source\": 2, \"target\": 3}, {\"weight\": 9734, \"source\": 2, \"target\": 4}, {\"weight\": 8028, \"source\": 2, \"target\": 8}, {\"weight\": 10935, \"source\": 2, \"target\": 5}, {\"weight\": 10761, \"source\": 2, \"target\": 7}, {\"weight\": 10372, \"source\": 2, \"target\": 6}, {\"weight\": 3175, \"source\": 3, \"target\": 4}, {\"weight\": 9914, \"source\": 3, \"target\": 8}, {\"weight\": 4238, \"source\": 3, \"target\": 5}, {\"weight\": 12945, \"source\": 3, \"target\": 7}, {\"weight\": 9745, \"source\": 3, \"target\": 6}, {\"weight\": 1326, \"source\": 4, \"target\": 5}, {\"weight\": 7763, \"source\": 4, \"target\": 8}, {\"weight\": 10797, \"source\": 4, \"target\": 7}, {\"weight\": 7322, \"source\": 4, \"target\": 6}, {\"weight\": 8768, \"source\": 5, \"target\": 8}, {\"weight\": 11799, \"source\": 5, \"target\": 7}, {\"weight\": 7642, \"source\": 5, \"target\": 6}, {\"weight\": 2611, \"source\": 6, \"target\": 8}, {\"weight\": 5722, \"source\": 6, \"target\": 7}, {\"weight\": 3299, \"source\": 7, \"target\": 8}]}", "id": 1355, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PZU, LRD, SDJ, TGK, BRU, VLC, YFH, KLL, YKA\n- Travel distances (in kilometers) between each pair of airports:\nPZU to TGK: 5032\nPZU to BRU: 4533\nPZU to YKA: 12227\nPZU to LRD: 13086\nPZU to VLC: 4578\nPZU to SDJ: 9933\nPZU to KLL: 15278\nPZU to YFH: 11832\nLRD to TGK: 10931\nLRD to BRU: 8585\nLRD to YKA: 3542\nLRD to VLC: 8807\nLRD to SDJ: 10915\nLRD to KLL: 5972\nLRD to YFH: 3614\nSDJ to TGK: 8556\nSDJ to BRU: 9734\nSDJ to YKA: 8028\nSDJ to VLC: 10935\nSDJ to KLL: 10761\nSDJ to YFH: 10372\nTGK to BRU: 3175\nTGK to YKA: 9914\nTGK to VLC: 4238\nTGK to KLL: 12945\nTGK to YFH: 9745\nBRU to VLC: 1326\nBRU to YKA: 7763\nBRU to KLL: 10797\nBRU to YFH: 7322\nVLC to YKA: 8768\nVLC to KLL: 11799\nVLC to YFH: 7642\nYFH to YKA: 2611\nYFH to KLL: 5722\nKLL to YKA: 3299\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CAG, KOV, LIH, DSN, DMM, POS, ZUM, KND, LBC\n- Travel distances (in kilometers) between each pair of airports:\nCAG to DSN: 8319\nCAG to POS: 8487\nCAG to DMM: 4133\nCAG to LIH: 13508\nCAG to KND: 7395\nCAG to KOV: 4833\nCAG to LBC: 1623\nCAG to ZUM: 6347\nKOV to DSN: 3991\nKOV to POS: 11660\nKOV to DMM: 4389\nKOV to LIH: 12801\nKOV to KND: 10183\nKOV to LBC: 4017\nKOV to ZUM: 9384\nLIH to DSN: 8853\nLIH to POS: 10517\nLIH to DMM: 14563\nLIH to KND: 19518\nLIH to LBC: 13136\nLIH to ZUM: 9170\nDSN to POS: 15094\nDSN to DMM: 5860\nDSN to KND: 12196\nDSN to LBC: 7596\nDSN to ZUM: 12789\nDMM to POS: 12042\nDMM to KND: 6421\nDMM to LBC: 4697\nDMM to ZUM: 9814\nPOS to KND: 11773\nPOS to LBC: 8905\nPOS to ZUM: 5235\nZUM to KND: 12380\nZUM to LBC: 6607\nKND to LBC: 8354\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 55031, "style": "rule" }
{ "exact_answer": 55031, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"CAG\", \"id\": 0}, {\"name\": \"KOV\", \"id\": 1}, {\"name\": \"LIH\", \"id\": 2}, {\"name\": \"DSN\", \"id\": 3}, {\"name\": \"DMM\", \"id\": 4}, {\"name\": \"POS\", \"id\": 5}, {\"name\": \"ZUM\", \"id\": 6}, {\"name\": \"KND\", \"id\": 7}, {\"name\": \"LBC\", \"id\": 8}], \"links\": [{\"weight\": 8319, \"source\": 0, \"target\": 3}, {\"weight\": 8487, \"source\": 0, \"target\": 5}, {\"weight\": 4133, \"source\": 0, \"target\": 4}, {\"weight\": 13508, \"source\": 0, \"target\": 2}, {\"weight\": 7395, \"source\": 0, \"target\": 7}, {\"weight\": 4833, \"source\": 0, \"target\": 1}, {\"weight\": 1623, \"source\": 0, \"target\": 8}, {\"weight\": 6347, \"source\": 0, \"target\": 6}, {\"weight\": 3991, \"source\": 1, \"target\": 3}, {\"weight\": 11660, \"source\": 1, \"target\": 5}, {\"weight\": 4389, \"source\": 1, \"target\": 4}, {\"weight\": 12801, \"source\": 1, \"target\": 2}, {\"weight\": 10183, \"source\": 1, \"target\": 7}, {\"weight\": 4017, \"source\": 1, \"target\": 8}, {\"weight\": 9384, \"source\": 1, \"target\": 6}, {\"weight\": 8853, \"source\": 2, \"target\": 3}, {\"weight\": 10517, \"source\": 2, \"target\": 5}, {\"weight\": 14563, \"source\": 2, \"target\": 4}, {\"weight\": 19518, \"source\": 2, \"target\": 7}, {\"weight\": 13136, \"source\": 2, \"target\": 8}, {\"weight\": 9170, \"source\": 2, \"target\": 6}, {\"weight\": 15094, \"source\": 3, \"target\": 5}, {\"weight\": 5860, \"source\": 3, \"target\": 4}, {\"weight\": 12196, \"source\": 3, \"target\": 7}, {\"weight\": 7596, \"source\": 3, \"target\": 8}, {\"weight\": 12789, \"source\": 3, \"target\": 6}, {\"weight\": 12042, \"source\": 4, \"target\": 5}, {\"weight\": 6421, \"source\": 4, \"target\": 7}, {\"weight\": 4697, \"source\": 4, \"target\": 8}, {\"weight\": 9814, \"source\": 4, \"target\": 6}, {\"weight\": 11773, \"source\": 5, \"target\": 7}, {\"weight\": 8905, \"source\": 5, \"target\": 8}, {\"weight\": 5235, \"source\": 5, \"target\": 6}, {\"weight\": 12380, \"source\": 6, \"target\": 7}, {\"weight\": 6607, \"source\": 6, \"target\": 8}, {\"weight\": 8354, \"source\": 7, \"target\": 8}]}", "id": 1356, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CAG, KOV, LIH, DSN, DMM, POS, ZUM, KND, LBC\n- Travel distances (in kilometers) between each pair of airports:\nCAG to DSN: 8319\nCAG to POS: 8487\nCAG to DMM: 4133\nCAG to LIH: 13508\nCAG to KND: 7395\nCAG to KOV: 4833\nCAG to LBC: 1623\nCAG to ZUM: 6347\nKOV to DSN: 3991\nKOV to POS: 11660\nKOV to DMM: 4389\nKOV to LIH: 12801\nKOV to KND: 10183\nKOV to LBC: 4017\nKOV to ZUM: 9384\nLIH to DSN: 8853\nLIH to POS: 10517\nLIH to DMM: 14563\nLIH to KND: 19518\nLIH to LBC: 13136\nLIH to ZUM: 9170\nDSN to POS: 15094\nDSN to DMM: 5860\nDSN to KND: 12196\nDSN to LBC: 7596\nDSN to ZUM: 12789\nDMM to POS: 12042\nDMM to KND: 6421\nDMM to LBC: 4697\nDMM to ZUM: 9814\nPOS to KND: 11773\nPOS to LBC: 8905\nPOS to ZUM: 5235\nZUM to KND: 12380\nZUM to LBC: 6607\nKND to LBC: 8354\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TBT, DEF, YKF, KDH, STD, CLD, OUZ, USK, LKB\n- Travel distances (in kilometers) between each pair of airports:\nTBT to USK: 13561\nTBT to YKF: 7545\nTBT to DEF: 14570\nTBT to KDH: 15555\nTBT to LKB: 17770\nTBT to OUZ: 7836\nTBT to STD: 3675\nTBT to CLD: 8618\nDEF to USK: 4733\nDEF to YKF: 11952\nDEF to KDH: 1983\nDEF to LKB: 15437\nDEF to OUZ: 7089\nDEF to STD: 12869\nDEF to CLD: 13249\nYKF to USK: 9727\nYKF to KDH: 12662\nYKF to LKB: 12727\nYKF to OUZ: 8685\nYKF to STD: 5354\nYKF to CLD: 3575\nKDH to USK: 4375\nKDH to LKB: 13493\nKDH to OUZ: 8074\nKDH to STD: 13854\nKDH to CLD: 13847\nSTD to USK: 11790\nSTD to LKB: 15789\nSTD to OUZ: 7684\nSTD to CLD: 6637\nCLD to USK: 11237\nCLD to LKB: 9428\nCLD to OUZ: 10980\nOUZ to USK: 6841\nOUZ to LKB: 20132\nUSK to LKB: 15159\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 56918, "style": "rule" }
{ "exact_answer": 56918, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"TBT\", \"id\": 0}, {\"name\": \"DEF\", \"id\": 1}, {\"name\": \"YKF\", \"id\": 2}, {\"name\": \"KDH\", \"id\": 3}, {\"name\": \"STD\", \"id\": 4}, {\"name\": \"CLD\", \"id\": 5}, {\"name\": \"OUZ\", \"id\": 6}, {\"name\": \"USK\", \"id\": 7}, {\"name\": \"LKB\", \"id\": 8}], \"links\": [{\"weight\": 13561, \"source\": 0, \"target\": 7}, {\"weight\": 7545, \"source\": 0, \"target\": 2}, {\"weight\": 14570, \"source\": 0, \"target\": 1}, {\"weight\": 15555, \"source\": 0, \"target\": 3}, {\"weight\": 17770, \"source\": 0, \"target\": 8}, {\"weight\": 7836, \"source\": 0, \"target\": 6}, {\"weight\": 3675, \"source\": 0, \"target\": 4}, {\"weight\": 8618, \"source\": 0, \"target\": 5}, {\"weight\": 4733, \"source\": 1, \"target\": 7}, {\"weight\": 11952, \"source\": 1, \"target\": 2}, {\"weight\": 1983, \"source\": 1, \"target\": 3}, {\"weight\": 15437, \"source\": 1, \"target\": 8}, {\"weight\": 7089, \"source\": 1, \"target\": 6}, {\"weight\": 12869, \"source\": 1, \"target\": 4}, {\"weight\": 13249, \"source\": 1, \"target\": 5}, {\"weight\": 9727, \"source\": 2, \"target\": 7}, {\"weight\": 12662, \"source\": 2, \"target\": 3}, {\"weight\": 12727, \"source\": 2, \"target\": 8}, {\"weight\": 8685, \"source\": 2, \"target\": 6}, {\"weight\": 5354, \"source\": 2, \"target\": 4}, {\"weight\": 3575, \"source\": 2, \"target\": 5}, {\"weight\": 4375, \"source\": 3, \"target\": 7}, {\"weight\": 13493, \"source\": 3, \"target\": 8}, {\"weight\": 8074, \"source\": 3, \"target\": 6}, {\"weight\": 13854, \"source\": 3, \"target\": 4}, {\"weight\": 13847, \"source\": 3, \"target\": 5}, {\"weight\": 11790, \"source\": 4, \"target\": 7}, {\"weight\": 15789, \"source\": 4, \"target\": 8}, {\"weight\": 7684, \"source\": 4, \"target\": 6}, {\"weight\": 6637, \"source\": 4, \"target\": 5}, {\"weight\": 11237, \"source\": 5, \"target\": 7}, {\"weight\": 9428, \"source\": 5, \"target\": 8}, {\"weight\": 10980, \"source\": 5, \"target\": 6}, {\"weight\": 6841, \"source\": 6, \"target\": 7}, {\"weight\": 20132, \"source\": 6, \"target\": 8}, {\"weight\": 15159, \"source\": 7, \"target\": 8}]}", "id": 1357, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TBT, DEF, YKF, KDH, STD, CLD, OUZ, USK, LKB\n- Travel distances (in kilometers) between each pair of airports:\nTBT to USK: 13561\nTBT to YKF: 7545\nTBT to DEF: 14570\nTBT to KDH: 15555\nTBT to LKB: 17770\nTBT to OUZ: 7836\nTBT to STD: 3675\nTBT to CLD: 8618\nDEF to USK: 4733\nDEF to YKF: 11952\nDEF to KDH: 1983\nDEF to LKB: 15437\nDEF to OUZ: 7089\nDEF to STD: 12869\nDEF to CLD: 13249\nYKF to USK: 9727\nYKF to KDH: 12662\nYKF to LKB: 12727\nYKF to OUZ: 8685\nYKF to STD: 5354\nYKF to CLD: 3575\nKDH to USK: 4375\nKDH to LKB: 13493\nKDH to OUZ: 8074\nKDH to STD: 13854\nKDH to CLD: 13847\nSTD to USK: 11790\nSTD to LKB: 15789\nSTD to OUZ: 7684\nSTD to CLD: 6637\nCLD to USK: 11237\nCLD to LKB: 9428\nCLD to OUZ: 10980\nOUZ to USK: 6841\nOUZ to LKB: 20132\nUSK to LKB: 15159\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: KZN, VAK, LFM, NWI, YCO, HBA, FLL, KNS, YZZ\n- Travel distances (in kilometers) between each pair of airports:\nKZN to FLL: 9827\nKZN to YCO: 10495\nKZN to VAK: 12952\nKZN to YZZ: 10094\nKZN to NWI: 3125\nKZN to LFM: 3574\nKZN to HBA: 14319\nKZN to KNS: 13960\nVAK to FLL: 7293\nVAK to YCO: 5694\nVAK to YZZ: 3791\nVAK to NWI: 10849\nVAK to LFM: 15429\nVAK to HBA: 14539\nVAK to KNS: 14463\nLFM to FLL: 12446\nLFM to YCO: 13394\nLFM to YZZ: 12856\nLFM to NWI: 5144\nLFM to HBA: 12582\nLFM to KNS: 12223\nNWI to FLL: 7310\nNWI to YCO: 8392\nNWI to YZZ: 7991\nNWI to HBA: 17394\nNWI to KNS: 17035\nYCO to FLL: 5752\nYCO to YZZ: 2829\nYCO to HBA: 15962\nYCO to KNS: 15887\nHBA to FLL: 16644\nHBA to YZZ: 13943\nHBA to KNS: 875\nFLL to YZZ: 4932\nFLL to KNS: 16569\nKNS to YZZ: 13868\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 54018, "style": "rule" }
{ "exact_answer": 54018, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"KZN\", \"id\": 0}, {\"name\": \"VAK\", \"id\": 1}, {\"name\": \"LFM\", \"id\": 2}, {\"name\": \"NWI\", \"id\": 3}, {\"name\": \"YCO\", \"id\": 4}, {\"name\": \"HBA\", \"id\": 5}, {\"name\": \"FLL\", \"id\": 6}, {\"name\": \"KNS\", \"id\": 7}, {\"name\": \"YZZ\", \"id\": 8}], \"links\": [{\"weight\": 9827, \"source\": 0, \"target\": 6}, {\"weight\": 10495, \"source\": 0, \"target\": 4}, {\"weight\": 12952, \"source\": 0, \"target\": 1}, {\"weight\": 10094, \"source\": 0, \"target\": 8}, {\"weight\": 3125, \"source\": 0, \"target\": 3}, {\"weight\": 3574, \"source\": 0, \"target\": 2}, {\"weight\": 14319, \"source\": 0, \"target\": 5}, {\"weight\": 13960, \"source\": 0, \"target\": 7}, {\"weight\": 7293, \"source\": 1, \"target\": 6}, {\"weight\": 5694, \"source\": 1, \"target\": 4}, {\"weight\": 3791, \"source\": 1, \"target\": 8}, {\"weight\": 10849, \"source\": 1, \"target\": 3}, {\"weight\": 15429, \"source\": 1, \"target\": 2}, {\"weight\": 14539, \"source\": 1, \"target\": 5}, {\"weight\": 14463, \"source\": 1, \"target\": 7}, {\"weight\": 12446, \"source\": 2, \"target\": 6}, {\"weight\": 13394, \"source\": 2, \"target\": 4}, {\"weight\": 12856, \"source\": 2, \"target\": 8}, {\"weight\": 5144, \"source\": 2, \"target\": 3}, {\"weight\": 12582, \"source\": 2, \"target\": 5}, {\"weight\": 12223, \"source\": 2, \"target\": 7}, {\"weight\": 7310, \"source\": 3, \"target\": 6}, {\"weight\": 8392, \"source\": 3, \"target\": 4}, {\"weight\": 7991, \"source\": 3, \"target\": 8}, {\"weight\": 17394, \"source\": 3, \"target\": 5}, {\"weight\": 17035, \"source\": 3, \"target\": 7}, {\"weight\": 5752, \"source\": 4, \"target\": 6}, {\"weight\": 2829, \"source\": 4, \"target\": 8}, {\"weight\": 15962, \"source\": 4, \"target\": 5}, {\"weight\": 15887, \"source\": 4, \"target\": 7}, {\"weight\": 16644, \"source\": 5, \"target\": 6}, {\"weight\": 13943, \"source\": 5, \"target\": 8}, {\"weight\": 875, \"source\": 5, \"target\": 7}, {\"weight\": 4932, \"source\": 6, \"target\": 8}, {\"weight\": 16569, \"source\": 6, \"target\": 7}, {\"weight\": 13868, \"source\": 7, \"target\": 8}]}", "id": 1358, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: KZN, VAK, LFM, NWI, YCO, HBA, FLL, KNS, YZZ\n- Travel distances (in kilometers) between each pair of airports:\nKZN to FLL: 9827\nKZN to YCO: 10495\nKZN to VAK: 12952\nKZN to YZZ: 10094\nKZN to NWI: 3125\nKZN to LFM: 3574\nKZN to HBA: 14319\nKZN to KNS: 13960\nVAK to FLL: 7293\nVAK to YCO: 5694\nVAK to YZZ: 3791\nVAK to NWI: 10849\nVAK to LFM: 15429\nVAK to HBA: 14539\nVAK to KNS: 14463\nLFM to FLL: 12446\nLFM to YCO: 13394\nLFM to YZZ: 12856\nLFM to NWI: 5144\nLFM to HBA: 12582\nLFM to KNS: 12223\nNWI to FLL: 7310\nNWI to YCO: 8392\nNWI to YZZ: 7991\nNWI to HBA: 17394\nNWI to KNS: 17035\nYCO to FLL: 5752\nYCO to YZZ: 2829\nYCO to HBA: 15962\nYCO to KNS: 15887\nHBA to FLL: 16644\nHBA to YZZ: 13943\nHBA to KNS: 875\nFLL to YZZ: 4932\nFLL to KNS: 16569\nKNS to YZZ: 13868\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: OIM, CLY, YAP, HYL, DLC, VXE, JKR, YXU, SDY\n- Travel distances (in kilometers) between each pair of airports:\nOIM to HYL: 8956\nOIM to DLC: 1752\nOIM to CLY: 10260\nOIM to SDY: 9261\nOIM to YXU: 10956\nOIM to VXE: 14136\nOIM to YAP: 3737\nOIM to JKR: 5391\nCLY to HYL: 10068\nCLY to DLC: 8832\nCLY to SDY: 9233\nCLY to YXU: 6957\nCLY to VXE: 4503\nCLY to YAP: 12785\nCLY to JKR: 7393\nYAP to HYL: 12178\nYAP to DLC: 4360\nYAP to SDY: 12483\nYAP to YXU: 13812\nYAP to VXE: 17005\nYAP to JKR: 6315\nHYL to DLC: 9986\nHYL to SDY: 2609\nHYL to YXU: 4478\nHYL to VXE: 10876\nHYL to JKR: 13148\nDLC to SDY: 10291\nDLC to YXU: 11143\nDLC to VXE: 12987\nDLC to JKR: 3707\nVXE to SDY: 9113\nVXE to YXU: 6576\nVXE to JKR: 11529\nJKR to SDY: 13453\nJKR to YXU: 12744\nYXU to SDY: 2692\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 44533, "style": "rule" }
{ "exact_answer": 44533, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"OIM\", \"id\": 0}, {\"name\": \"CLY\", \"id\": 1}, {\"name\": \"YAP\", \"id\": 2}, {\"name\": \"HYL\", \"id\": 3}, {\"name\": \"DLC\", \"id\": 4}, {\"name\": \"VXE\", \"id\": 5}, {\"name\": \"JKR\", \"id\": 6}, {\"name\": \"YXU\", \"id\": 7}, {\"name\": \"SDY\", \"id\": 8}], \"links\": [{\"weight\": 8956, \"source\": 0, \"target\": 3}, {\"weight\": 1752, \"source\": 0, \"target\": 4}, {\"weight\": 10260, \"source\": 0, \"target\": 1}, {\"weight\": 9261, \"source\": 0, \"target\": 8}, {\"weight\": 10956, \"source\": 0, \"target\": 7}, {\"weight\": 14136, \"source\": 0, \"target\": 5}, {\"weight\": 3737, \"source\": 0, \"target\": 2}, {\"weight\": 5391, \"source\": 0, \"target\": 6}, {\"weight\": 10068, \"source\": 1, \"target\": 3}, {\"weight\": 8832, \"source\": 1, \"target\": 4}, {\"weight\": 9233, \"source\": 1, \"target\": 8}, {\"weight\": 6957, \"source\": 1, \"target\": 7}, {\"weight\": 4503, \"source\": 1, \"target\": 5}, {\"weight\": 12785, \"source\": 1, \"target\": 2}, {\"weight\": 7393, \"source\": 1, \"target\": 6}, {\"weight\": 12178, \"source\": 2, \"target\": 3}, {\"weight\": 4360, \"source\": 2, \"target\": 4}, {\"weight\": 12483, \"source\": 2, \"target\": 8}, {\"weight\": 13812, \"source\": 2, \"target\": 7}, {\"weight\": 17005, \"source\": 2, \"target\": 5}, {\"weight\": 6315, \"source\": 2, \"target\": 6}, {\"weight\": 9986, \"source\": 3, \"target\": 4}, {\"weight\": 2609, \"source\": 3, \"target\": 8}, {\"weight\": 4478, \"source\": 3, \"target\": 7}, {\"weight\": 10876, \"source\": 3, \"target\": 5}, {\"weight\": 13148, \"source\": 3, \"target\": 6}, {\"weight\": 10291, \"source\": 4, \"target\": 8}, {\"weight\": 11143, \"source\": 4, \"target\": 7}, {\"weight\": 12987, \"source\": 4, \"target\": 5}, {\"weight\": 3707, \"source\": 4, \"target\": 6}, {\"weight\": 9113, \"source\": 5, \"target\": 8}, {\"weight\": 6576, \"source\": 5, \"target\": 7}, {\"weight\": 11529, \"source\": 5, \"target\": 6}, {\"weight\": 13453, \"source\": 6, \"target\": 8}, {\"weight\": 12744, \"source\": 6, \"target\": 7}, {\"weight\": 2692, \"source\": 7, \"target\": 8}]}", "id": 1359, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: OIM, CLY, YAP, HYL, DLC, VXE, JKR, YXU, SDY\n- Travel distances (in kilometers) between each pair of airports:\nOIM to HYL: 8956\nOIM to DLC: 1752\nOIM to CLY: 10260\nOIM to SDY: 9261\nOIM to YXU: 10956\nOIM to VXE: 14136\nOIM to YAP: 3737\nOIM to JKR: 5391\nCLY to HYL: 10068\nCLY to DLC: 8832\nCLY to SDY: 9233\nCLY to YXU: 6957\nCLY to VXE: 4503\nCLY to YAP: 12785\nCLY to JKR: 7393\nYAP to HYL: 12178\nYAP to DLC: 4360\nYAP to SDY: 12483\nYAP to YXU: 13812\nYAP to VXE: 17005\nYAP to JKR: 6315\nHYL to DLC: 9986\nHYL to SDY: 2609\nHYL to YXU: 4478\nHYL to VXE: 10876\nHYL to JKR: 13148\nDLC to SDY: 10291\nDLC to YXU: 11143\nDLC to VXE: 12987\nDLC to JKR: 3707\nVXE to SDY: 9113\nVXE to YXU: 6576\nVXE to JKR: 11529\nJKR to SDY: 13453\nJKR to YXU: 12744\nYXU to SDY: 2692\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LKG, OLC, FNI, HDM, RDN, SOY, ORF, ORI, LGB\n- Travel distances (in kilometers) between each pair of airports:\nLKG to ORI: 18405\nLKG to ORF: 13729\nLKG to LGB: 16737\nLKG to OLC: 13932\nLKG to HDM: 6545\nLKG to FNI: 8624\nLKG to RDN: 9380\nLKG to SOY: 8737\nOLC to ORI: 11755\nOLC to ORF: 6158\nOLC to LGB: 8473\nOLC to HDM: 15676\nOLC to FNI: 10246\nOLC to RDN: 20014\nOLC to SOY: 10461\nFNI to ORI: 11398\nFNI to ORF: 6971\nFNI to LGB: 9844\nFNI to HDM: 6620\nFNI to RDN: 11245\nFNI to SOY: 1798\nHDM to ORI: 16428\nHDM to ORF: 12239\nHDM to LGB: 14873\nHDM to RDN: 7134\nHDM to SOY: 6858\nRDN to ORI: 15990\nRDN to ORF: 16008\nRDN to LGB: 14498\nRDN to SOY: 10891\nSOY to ORI: 10295\nSOY to ORF: 6019\nSOY to LGB: 8834\nORF to ORI: 6150\nORF to LGB: 3873\nORI to LGB: 4269\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 63459, "style": "rule" }
{ "exact_answer": 63459, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"LKG\", \"id\": 0}, {\"name\": \"OLC\", \"id\": 1}, {\"name\": \"FNI\", \"id\": 2}, {\"name\": \"HDM\", \"id\": 3}, {\"name\": \"RDN\", \"id\": 4}, {\"name\": \"SOY\", \"id\": 5}, {\"name\": \"ORF\", \"id\": 6}, {\"name\": \"ORI\", \"id\": 7}, {\"name\": \"LGB\", \"id\": 8}], \"links\": [{\"weight\": 18405, \"source\": 0, \"target\": 7}, {\"weight\": 13729, \"source\": 0, \"target\": 6}, {\"weight\": 16737, \"source\": 0, \"target\": 8}, {\"weight\": 13932, \"source\": 0, \"target\": 1}, {\"weight\": 6545, \"source\": 0, \"target\": 3}, {\"weight\": 8624, \"source\": 0, \"target\": 2}, {\"weight\": 9380, \"source\": 0, \"target\": 4}, {\"weight\": 8737, \"source\": 0, \"target\": 5}, {\"weight\": 11755, \"source\": 1, \"target\": 7}, {\"weight\": 6158, \"source\": 1, \"target\": 6}, {\"weight\": 8473, \"source\": 1, \"target\": 8}, {\"weight\": 15676, \"source\": 1, \"target\": 3}, {\"weight\": 10246, \"source\": 1, \"target\": 2}, {\"weight\": 20014, \"source\": 1, \"target\": 4}, {\"weight\": 10461, \"source\": 1, \"target\": 5}, {\"weight\": 11398, \"source\": 2, \"target\": 7}, {\"weight\": 6971, \"source\": 2, \"target\": 6}, {\"weight\": 9844, \"source\": 2, \"target\": 8}, {\"weight\": 6620, \"source\": 2, \"target\": 3}, {\"weight\": 11245, \"source\": 2, \"target\": 4}, {\"weight\": 1798, \"source\": 2, \"target\": 5}, {\"weight\": 16428, \"source\": 3, \"target\": 7}, {\"weight\": 12239, \"source\": 3, \"target\": 6}, {\"weight\": 14873, \"source\": 3, \"target\": 8}, {\"weight\": 7134, \"source\": 3, \"target\": 4}, {\"weight\": 6858, \"source\": 3, \"target\": 5}, {\"weight\": 15990, \"source\": 4, \"target\": 7}, {\"weight\": 16008, \"source\": 4, \"target\": 6}, {\"weight\": 14498, \"source\": 4, \"target\": 8}, {\"weight\": 10891, \"source\": 4, \"target\": 5}, {\"weight\": 10295, \"source\": 5, \"target\": 7}, {\"weight\": 6019, \"source\": 5, \"target\": 6}, {\"weight\": 8834, \"source\": 5, \"target\": 8}, {\"weight\": 6150, \"source\": 6, \"target\": 7}, {\"weight\": 3873, \"source\": 6, \"target\": 8}, {\"weight\": 4269, \"source\": 7, \"target\": 8}]}", "id": 1360, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LKG, OLC, FNI, HDM, RDN, SOY, ORF, ORI, LGB\n- Travel distances (in kilometers) between each pair of airports:\nLKG to ORI: 18405\nLKG to ORF: 13729\nLKG to LGB: 16737\nLKG to OLC: 13932\nLKG to HDM: 6545\nLKG to FNI: 8624\nLKG to RDN: 9380\nLKG to SOY: 8737\nOLC to ORI: 11755\nOLC to ORF: 6158\nOLC to LGB: 8473\nOLC to HDM: 15676\nOLC to FNI: 10246\nOLC to RDN: 20014\nOLC to SOY: 10461\nFNI to ORI: 11398\nFNI to ORF: 6971\nFNI to LGB: 9844\nFNI to HDM: 6620\nFNI to RDN: 11245\nFNI to SOY: 1798\nHDM to ORI: 16428\nHDM to ORF: 12239\nHDM to LGB: 14873\nHDM to RDN: 7134\nHDM to SOY: 6858\nRDN to ORI: 15990\nRDN to ORF: 16008\nRDN to LGB: 14498\nRDN to SOY: 10891\nSOY to ORI: 10295\nSOY to ORF: 6019\nSOY to LGB: 8834\nORF to ORI: 6150\nORF to LGB: 3873\nORI to LGB: 4269\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: UKS, AGR, BKQ, KJA, YXJ, MFR, BEG, JPR, SHX\n- Travel distances (in kilometers) between each pair of airports:\nUKS to BEG: 2190\nUKS to KJA: 4553\nUKS to SHX: 12862\nUKS to YXJ: 9576\nUKS to MFR: 10470\nUKS to JPR: 12953\nUKS to AGR: 6468\nUKS to BKQ: 15003\nAGR to BEG: 6556\nAGR to KJA: 4822\nAGR to SHX: 15707\nAGR to YXJ: 13362\nAGR to MFR: 13315\nAGR to JPR: 16902\nAGR to BKQ: 10118\nBKQ to BEG: 15506\nBKQ to KJA: 11006\nBKQ to SHX: 13495\nBKQ to YXJ: 13541\nBKQ to MFR: 12774\nBKQ to JPR: 17294\nKJA to BEG: 5050\nKJA to SHX: 14142\nKJA to YXJ: 11779\nKJA to MFR: 11750\nKJA to JPR: 16134\nYXJ to BEG: 8901\nYXJ to SHX: 3962\nYXJ to MFR: 1561\nYXJ to JPR: 11319\nMFR to BEG: 9795\nMFR to SHX: 3467\nMFR to JPR: 10885\nBEG to SHX: 12187\nBEG to JPR: 11352\nJPR to SHX: 13689\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 62877, "style": "rule" }
{ "exact_answer": 62877, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"UKS\", \"id\": 0}, {\"name\": \"AGR\", \"id\": 1}, {\"name\": \"BKQ\", \"id\": 2}, {\"name\": \"KJA\", \"id\": 3}, {\"name\": \"YXJ\", \"id\": 4}, {\"name\": \"MFR\", \"id\": 5}, {\"name\": \"BEG\", \"id\": 6}, {\"name\": \"JPR\", \"id\": 7}, {\"name\": \"SHX\", \"id\": 8}], \"links\": [{\"weight\": 2190, \"source\": 0, \"target\": 6}, {\"weight\": 4553, \"source\": 0, \"target\": 3}, {\"weight\": 12862, \"source\": 0, \"target\": 8}, {\"weight\": 9576, \"source\": 0, \"target\": 4}, {\"weight\": 10470, \"source\": 0, \"target\": 5}, {\"weight\": 12953, \"source\": 0, \"target\": 7}, {\"weight\": 6468, \"source\": 0, \"target\": 1}, {\"weight\": 15003, \"source\": 0, \"target\": 2}, {\"weight\": 6556, \"source\": 1, \"target\": 6}, {\"weight\": 4822, \"source\": 1, \"target\": 3}, {\"weight\": 15707, \"source\": 1, \"target\": 8}, {\"weight\": 13362, \"source\": 1, \"target\": 4}, {\"weight\": 13315, \"source\": 1, \"target\": 5}, {\"weight\": 16902, \"source\": 1, \"target\": 7}, {\"weight\": 10118, \"source\": 1, \"target\": 2}, {\"weight\": 15506, \"source\": 2, \"target\": 6}, {\"weight\": 11006, \"source\": 2, \"target\": 3}, {\"weight\": 13495, \"source\": 2, \"target\": 8}, {\"weight\": 13541, \"source\": 2, \"target\": 4}, {\"weight\": 12774, \"source\": 2, \"target\": 5}, {\"weight\": 17294, \"source\": 2, \"target\": 7}, {\"weight\": 5050, \"source\": 3, \"target\": 6}, {\"weight\": 14142, \"source\": 3, \"target\": 8}, {\"weight\": 11779, \"source\": 3, \"target\": 4}, {\"weight\": 11750, \"source\": 3, \"target\": 5}, {\"weight\": 16134, \"source\": 3, \"target\": 7}, {\"weight\": 8901, \"source\": 4, \"target\": 6}, {\"weight\": 3962, \"source\": 4, \"target\": 8}, {\"weight\": 1561, \"source\": 4, \"target\": 5}, {\"weight\": 11319, \"source\": 4, \"target\": 7}, {\"weight\": 9795, \"source\": 5, \"target\": 6}, {\"weight\": 3467, \"source\": 5, \"target\": 8}, {\"weight\": 10885, \"source\": 5, \"target\": 7}, {\"weight\": 12187, \"source\": 6, \"target\": 8}, {\"weight\": 11352, \"source\": 6, \"target\": 7}, {\"weight\": 13689, \"source\": 7, \"target\": 8}]}", "id": 1361, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: UKS, AGR, BKQ, KJA, YXJ, MFR, BEG, JPR, SHX\n- Travel distances (in kilometers) between each pair of airports:\nUKS to BEG: 2190\nUKS to KJA: 4553\nUKS to SHX: 12862\nUKS to YXJ: 9576\nUKS to MFR: 10470\nUKS to JPR: 12953\nUKS to AGR: 6468\nUKS to BKQ: 15003\nAGR to BEG: 6556\nAGR to KJA: 4822\nAGR to SHX: 15707\nAGR to YXJ: 13362\nAGR to MFR: 13315\nAGR to JPR: 16902\nAGR to BKQ: 10118\nBKQ to BEG: 15506\nBKQ to KJA: 11006\nBKQ to SHX: 13495\nBKQ to YXJ: 13541\nBKQ to MFR: 12774\nBKQ to JPR: 17294\nKJA to BEG: 5050\nKJA to SHX: 14142\nKJA to YXJ: 11779\nKJA to MFR: 11750\nKJA to JPR: 16134\nYXJ to BEG: 8901\nYXJ to SHX: 3962\nYXJ to MFR: 1561\nYXJ to JPR: 11319\nMFR to BEG: 9795\nMFR to SHX: 3467\nMFR to JPR: 10885\nBEG to SHX: 12187\nBEG to JPR: 11352\nJPR to SHX: 13689\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: DUS, JMU, ETZ, IBA, MRD, SFB, DIK, CEI, SHJ\n- Travel distances (in kilometers) between each pair of airports:\nDUS to SHJ: 5010\nDUS to MRD: 8533\nDUS to ETZ: 1001\nDUS to JMU: 8251\nDUS to CEI: 9132\nDUS to DIK: 7633\nDUS to SFB: 7435\nDUS to IBA: 5156\nJMU to SHJ: 7134\nJMU to MRD: 16042\nJMU to ETZ: 9139\nJMU to CEI: 4091\nJMU to DIK: 11377\nJMU to SFB: 13060\nJMU to IBA: 12269\nETZ to SHJ: 5366\nETZ to MRD: 8697\nETZ to CEI: 9943\nETZ to DIK: 8328\nETZ to SFB: 8096\nETZ to IBA: 5120\nIBA to SHJ: 5809\nIBA to MRD: 10657\nIBA to CEI: 11170\nIBA to DIK: 11541\nIBA to SFB: 10861\nMRD to SHJ: 13175\nMRD to CEI: 17639\nMRD to DIK: 5856\nMRD to SFB: 3046\nSFB to SHJ: 12429\nSFB to CEI: 14895\nSFB to DIK: 2850\nDIK to SHJ: 12627\nDIK to CEI: 13812\nCEI to SHJ: 5363\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 47190, "style": "rule" }
{ "exact_answer": 47190, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"DUS\", \"id\": 0}, {\"name\": \"JMU\", \"id\": 1}, {\"name\": \"ETZ\", \"id\": 2}, {\"name\": \"IBA\", \"id\": 3}, {\"name\": \"MRD\", \"id\": 4}, {\"name\": \"SFB\", \"id\": 5}, {\"name\": \"DIK\", \"id\": 6}, {\"name\": \"CEI\", \"id\": 7}, {\"name\": \"SHJ\", \"id\": 8}], \"links\": [{\"weight\": 5010, \"source\": 0, \"target\": 8}, {\"weight\": 8533, \"source\": 0, \"target\": 4}, {\"weight\": 1001, \"source\": 0, \"target\": 2}, {\"weight\": 8251, \"source\": 0, \"target\": 1}, {\"weight\": 9132, \"source\": 0, \"target\": 7}, {\"weight\": 7633, \"source\": 0, \"target\": 6}, {\"weight\": 7435, \"source\": 0, \"target\": 5}, {\"weight\": 5156, \"source\": 0, \"target\": 3}, {\"weight\": 7134, \"source\": 1, \"target\": 8}, {\"weight\": 16042, \"source\": 1, \"target\": 4}, {\"weight\": 9139, \"source\": 1, \"target\": 2}, {\"weight\": 4091, \"source\": 1, \"target\": 7}, {\"weight\": 11377, \"source\": 1, \"target\": 6}, {\"weight\": 13060, \"source\": 1, \"target\": 5}, {\"weight\": 12269, \"source\": 1, \"target\": 3}, {\"weight\": 5366, \"source\": 2, \"target\": 8}, {\"weight\": 8697, \"source\": 2, \"target\": 4}, {\"weight\": 9943, \"source\": 2, \"target\": 7}, {\"weight\": 8328, \"source\": 2, \"target\": 6}, {\"weight\": 8096, \"source\": 2, \"target\": 5}, {\"weight\": 5120, \"source\": 2, \"target\": 3}, {\"weight\": 5809, \"source\": 3, \"target\": 8}, {\"weight\": 10657, \"source\": 3, \"target\": 4}, {\"weight\": 11170, \"source\": 3, \"target\": 7}, {\"weight\": 11541, \"source\": 3, \"target\": 6}, {\"weight\": 10861, \"source\": 3, \"target\": 5}, {\"weight\": 13175, \"source\": 4, \"target\": 8}, {\"weight\": 17639, \"source\": 4, \"target\": 7}, {\"weight\": 5856, \"source\": 4, \"target\": 6}, {\"weight\": 3046, \"source\": 4, \"target\": 5}, {\"weight\": 12429, \"source\": 5, \"target\": 8}, {\"weight\": 14895, \"source\": 5, \"target\": 7}, {\"weight\": 2850, \"source\": 5, \"target\": 6}, {\"weight\": 12627, \"source\": 6, \"target\": 8}, {\"weight\": 13812, \"source\": 6, \"target\": 7}, {\"weight\": 5363, \"source\": 7, \"target\": 8}]}", "id": 1362, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: DUS, JMU, ETZ, IBA, MRD, SFB, DIK, CEI, SHJ\n- Travel distances (in kilometers) between each pair of airports:\nDUS to SHJ: 5010\nDUS to MRD: 8533\nDUS to ETZ: 1001\nDUS to JMU: 8251\nDUS to CEI: 9132\nDUS to DIK: 7633\nDUS to SFB: 7435\nDUS to IBA: 5156\nJMU to SHJ: 7134\nJMU to MRD: 16042\nJMU to ETZ: 9139\nJMU to CEI: 4091\nJMU to DIK: 11377\nJMU to SFB: 13060\nJMU to IBA: 12269\nETZ to SHJ: 5366\nETZ to MRD: 8697\nETZ to CEI: 9943\nETZ to DIK: 8328\nETZ to SFB: 8096\nETZ to IBA: 5120\nIBA to SHJ: 5809\nIBA to MRD: 10657\nIBA to CEI: 11170\nIBA to DIK: 11541\nIBA to SFB: 10861\nMRD to SHJ: 13175\nMRD to CEI: 17639\nMRD to DIK: 5856\nMRD to SFB: 3046\nSFB to SHJ: 12429\nSFB to CEI: 14895\nSFB to DIK: 2850\nDIK to SHJ: 12627\nDIK to CEI: 13812\nCEI to SHJ: 5363\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TKG, SFJ, GND, LTI, KER, UAQ, AOK, BGI, PLO\n- Travel distances (in kilometers) between each pair of airports:\nTKG to AOK: 10040\nTKG to BGI: 18307\nTKG to GND: 18582\nTKG to UAQ: 17388\nTKG to KER: 7319\nTKG to SFJ: 14113\nTKG to LTI: 6840\nTKG to PLO: 5177\nSFJ to AOK: 5966\nSFJ to BGI: 9070\nSFJ to GND: 9138\nSFJ to UAQ: 14371\nSFJ to KER: 8229\nSFJ to LTI: 10443\nSFJ to PLO: 19026\nGND to BGI: 275\nGND to AOK: 9659\nGND to UAQ: 5846\nGND to KER: 12186\nGND to LTI: 14952\nGND to PLO: 18254\nLTI to AOK: 7900\nLTI to BGI: 14707\nLTI to UAQ: 19816\nLTI to KER: 6087\nLTI to PLO: 10870\nKER to AOK: 3561\nKER to BGI: 11987\nKER to UAQ: 15150\nKER to PLO: 12228\nUAQ to AOK: 13431\nUAQ to BGI: 6121\nUAQ to PLO: 13088\nAOK to BGI: 9547\nAOK to PLO: 14777\nBGI to PLO: 18529\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 55910, "style": "rule" }
{ "exact_answer": 55910, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"TKG\", \"id\": 0}, {\"name\": \"SFJ\", \"id\": 1}, {\"name\": \"GND\", \"id\": 2}, {\"name\": \"LTI\", \"id\": 3}, {\"name\": \"KER\", \"id\": 4}, {\"name\": \"UAQ\", \"id\": 5}, {\"name\": \"AOK\", \"id\": 6}, {\"name\": \"BGI\", \"id\": 7}, {\"name\": \"PLO\", \"id\": 8}], \"links\": [{\"weight\": 10040, \"source\": 0, \"target\": 6}, {\"weight\": 18307, \"source\": 0, \"target\": 7}, {\"weight\": 18582, \"source\": 0, \"target\": 2}, {\"weight\": 17388, \"source\": 0, \"target\": 5}, {\"weight\": 7319, \"source\": 0, \"target\": 4}, {\"weight\": 14113, \"source\": 0, \"target\": 1}, {\"weight\": 6840, \"source\": 0, \"target\": 3}, {\"weight\": 5177, \"source\": 0, \"target\": 8}, {\"weight\": 5966, \"source\": 1, \"target\": 6}, {\"weight\": 9070, \"source\": 1, \"target\": 7}, {\"weight\": 9138, \"source\": 1, \"target\": 2}, {\"weight\": 14371, \"source\": 1, \"target\": 5}, {\"weight\": 8229, \"source\": 1, \"target\": 4}, {\"weight\": 10443, \"source\": 1, \"target\": 3}, {\"weight\": 19026, \"source\": 1, \"target\": 8}, {\"weight\": 275, \"source\": 2, \"target\": 7}, {\"weight\": 9659, \"source\": 2, \"target\": 6}, {\"weight\": 5846, \"source\": 2, \"target\": 5}, {\"weight\": 12186, \"source\": 2, \"target\": 4}, {\"weight\": 14952, \"source\": 2, \"target\": 3}, {\"weight\": 18254, \"source\": 2, \"target\": 8}, {\"weight\": 7900, \"source\": 3, \"target\": 6}, {\"weight\": 14707, \"source\": 3, \"target\": 7}, {\"weight\": 19816, \"source\": 3, \"target\": 5}, {\"weight\": 6087, \"source\": 3, \"target\": 4}, {\"weight\": 10870, \"source\": 3, \"target\": 8}, {\"weight\": 3561, \"source\": 4, \"target\": 6}, {\"weight\": 11987, \"source\": 4, \"target\": 7}, {\"weight\": 15150, \"source\": 4, \"target\": 5}, {\"weight\": 12228, \"source\": 4, \"target\": 8}, {\"weight\": 13431, \"source\": 5, \"target\": 6}, {\"weight\": 6121, \"source\": 5, \"target\": 7}, {\"weight\": 13088, \"source\": 5, \"target\": 8}, {\"weight\": 9547, \"source\": 6, \"target\": 7}, {\"weight\": 14777, \"source\": 6, \"target\": 8}, {\"weight\": 18529, \"source\": 7, \"target\": 8}]}", "id": 1363, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TKG, SFJ, GND, LTI, KER, UAQ, AOK, BGI, PLO\n- Travel distances (in kilometers) between each pair of airports:\nTKG to AOK: 10040\nTKG to BGI: 18307\nTKG to GND: 18582\nTKG to UAQ: 17388\nTKG to KER: 7319\nTKG to SFJ: 14113\nTKG to LTI: 6840\nTKG to PLO: 5177\nSFJ to AOK: 5966\nSFJ to BGI: 9070\nSFJ to GND: 9138\nSFJ to UAQ: 14371\nSFJ to KER: 8229\nSFJ to LTI: 10443\nSFJ to PLO: 19026\nGND to BGI: 275\nGND to AOK: 9659\nGND to UAQ: 5846\nGND to KER: 12186\nGND to LTI: 14952\nGND to PLO: 18254\nLTI to AOK: 7900\nLTI to BGI: 14707\nLTI to UAQ: 19816\nLTI to KER: 6087\nLTI to PLO: 10870\nKER to AOK: 3561\nKER to BGI: 11987\nKER to UAQ: 15150\nKER to PLO: 12228\nUAQ to AOK: 13431\nUAQ to BGI: 6121\nUAQ to PLO: 13088\nAOK to BGI: 9547\nAOK to PLO: 14777\nBGI to PLO: 18529\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: KKR, PRC, PBD, AKV, TGD, MYQ, KEM, BAH, JDO\n- Travel distances (in kilometers) between each pair of airports:\nKKR to AKV: 11535\nKKR to BAH: 18139\nKKR to PBD: 16941\nKKR to JDO: 12931\nKKR to KEM: 16837\nKKR to TGD: 17468\nKKR to MYQ: 15886\nKKR to PRC: 7524\nPRC to AKV: 5121\nPRC to BAH: 13841\nPRC to PBD: 15816\nPRC to JDO: 10368\nPRC to KEM: 10423\nPRC to TGD: 11054\nPRC to MYQ: 15882\nPBD to AKV: 13864\nPBD to BAH: 2850\nPBD to JDO: 13675\nPBD to KEM: 7228\nPBD to TGD: 6066\nPBD to MYQ: 1422\nAKV to BAH: 11307\nAKV to JDO: 9175\nAKV to KEM: 8668\nAKV to TGD: 8016\nAKV to MYQ: 14409\nTGD to BAH: 3396\nTGD to JDO: 8207\nTGD to KEM: 2649\nTGD to MYQ: 6612\nMYQ to BAH: 3316\nMYQ to JDO: 14148\nMYQ to KEM: 7569\nKEM to BAH: 5009\nKEM to JDO: 9973\nBAH to JDO: 11258\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 57688, "style": "rule" }
{ "exact_answer": 57688, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"KKR\", \"id\": 0}, {\"name\": \"PRC\", \"id\": 1}, {\"name\": \"PBD\", \"id\": 2}, {\"name\": \"AKV\", \"id\": 3}, {\"name\": \"TGD\", \"id\": 4}, {\"name\": \"MYQ\", \"id\": 5}, {\"name\": \"KEM\", \"id\": 6}, {\"name\": \"BAH\", \"id\": 7}, {\"name\": \"JDO\", \"id\": 8}], \"links\": [{\"weight\": 11535, \"source\": 0, \"target\": 3}, {\"weight\": 18139, \"source\": 0, \"target\": 7}, {\"weight\": 16941, \"source\": 0, \"target\": 2}, {\"weight\": 12931, \"source\": 0, \"target\": 8}, {\"weight\": 16837, \"source\": 0, \"target\": 6}, {\"weight\": 17468, \"source\": 0, \"target\": 4}, {\"weight\": 15886, \"source\": 0, \"target\": 5}, {\"weight\": 7524, \"source\": 0, \"target\": 1}, {\"weight\": 5121, \"source\": 1, \"target\": 3}, {\"weight\": 13841, \"source\": 1, \"target\": 7}, {\"weight\": 15816, \"source\": 1, \"target\": 2}, {\"weight\": 10368, \"source\": 1, \"target\": 8}, {\"weight\": 10423, \"source\": 1, \"target\": 6}, {\"weight\": 11054, \"source\": 1, \"target\": 4}, {\"weight\": 15882, \"source\": 1, \"target\": 5}, {\"weight\": 13864, \"source\": 2, \"target\": 3}, {\"weight\": 2850, \"source\": 2, \"target\": 7}, {\"weight\": 13675, \"source\": 2, \"target\": 8}, {\"weight\": 7228, \"source\": 2, \"target\": 6}, {\"weight\": 6066, \"source\": 2, \"target\": 4}, {\"weight\": 1422, \"source\": 2, \"target\": 5}, {\"weight\": 11307, \"source\": 3, \"target\": 7}, {\"weight\": 9175, \"source\": 3, \"target\": 8}, {\"weight\": 8668, \"source\": 3, \"target\": 6}, {\"weight\": 8016, \"source\": 3, \"target\": 4}, {\"weight\": 14409, \"source\": 3, \"target\": 5}, {\"weight\": 3396, \"source\": 4, \"target\": 7}, {\"weight\": 8207, \"source\": 4, \"target\": 8}, {\"weight\": 2649, \"source\": 4, \"target\": 6}, {\"weight\": 6612, \"source\": 4, \"target\": 5}, {\"weight\": 3316, \"source\": 5, \"target\": 7}, {\"weight\": 14148, \"source\": 5, \"target\": 8}, {\"weight\": 7569, \"source\": 5, \"target\": 6}, {\"weight\": 5009, \"source\": 6, \"target\": 7}, {\"weight\": 9973, \"source\": 6, \"target\": 8}, {\"weight\": 11258, \"source\": 7, \"target\": 8}]}", "id": 1364, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: KKR, PRC, PBD, AKV, TGD, MYQ, KEM, BAH, JDO\n- Travel distances (in kilometers) between each pair of airports:\nKKR to AKV: 11535\nKKR to BAH: 18139\nKKR to PBD: 16941\nKKR to JDO: 12931\nKKR to KEM: 16837\nKKR to TGD: 17468\nKKR to MYQ: 15886\nKKR to PRC: 7524\nPRC to AKV: 5121\nPRC to BAH: 13841\nPRC to PBD: 15816\nPRC to JDO: 10368\nPRC to KEM: 10423\nPRC to TGD: 11054\nPRC to MYQ: 15882\nPBD to AKV: 13864\nPBD to BAH: 2850\nPBD to JDO: 13675\nPBD to KEM: 7228\nPBD to TGD: 6066\nPBD to MYQ: 1422\nAKV to BAH: 11307\nAKV to JDO: 9175\nAKV to KEM: 8668\nAKV to TGD: 8016\nAKV to MYQ: 14409\nTGD to BAH: 3396\nTGD to JDO: 8207\nTGD to KEM: 2649\nTGD to MYQ: 6612\nMYQ to BAH: 3316\nMYQ to JDO: 14148\nMYQ to KEM: 7569\nKEM to BAH: 5009\nKEM to JDO: 9973\nBAH to JDO: 11258\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: HAM, MHK, MDW, ASP, KCT, ZQZ, LZO, CRW, JTC\n- Travel distances (in kilometers) between each pair of airports:\nHAM to CRW: 6841\nHAM to ASP: 14535\nHAM to MHK: 7753\nHAM to JTC: 10344\nHAM to MDW: 7030\nHAM to LZO: 8271\nHAM to ZQZ: 8119\nHAM to KCT: 8221\nMHK to CRW: 1473\nMHK to ASP: 16024\nMHK to JTC: 9211\nMHK to MDW: 1546\nMHK to LZO: 12978\nMHK to ZQZ: 12429\nMHK to KCT: 15361\nMDW to CRW: 818\nMDW to ASP: 16309\nMDW to JTC: 8617\nMDW to LZO: 12625\nMDW to ZQZ: 11976\nMDW to KCT: 14909\nASP to CRW: 16849\nASP to JTC: 16412\nASP to LZO: 6768\nASP to ZQZ: 7481\nASP to KCT: 7510\nKCT to CRW: 14890\nKCT to JTC: 14814\nKCT to LZO: 3776\nKCT to ZQZ: 5403\nZQZ to CRW: 12162\nZQZ to JTC: 18335\nZQZ to LZO: 1652\nLZO to CRW: 12711\nLZO to JTC: 17746\nCRW to JTC: 8119\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 55637, "style": "rule" }
{ "exact_answer": 55637, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"HAM\", \"id\": 0}, {\"name\": \"MHK\", \"id\": 1}, {\"name\": \"MDW\", \"id\": 2}, {\"name\": \"ASP\", \"id\": 3}, {\"name\": \"KCT\", \"id\": 4}, {\"name\": \"ZQZ\", \"id\": 5}, {\"name\": \"LZO\", \"id\": 6}, {\"name\": \"CRW\", \"id\": 7}, {\"name\": \"JTC\", \"id\": 8}], \"links\": [{\"weight\": 6841, \"source\": 0, \"target\": 7}, {\"weight\": 14535, \"source\": 0, \"target\": 3}, {\"weight\": 7753, \"source\": 0, \"target\": 1}, {\"weight\": 10344, \"source\": 0, \"target\": 8}, {\"weight\": 7030, \"source\": 0, \"target\": 2}, {\"weight\": 8271, \"source\": 0, \"target\": 6}, {\"weight\": 8119, \"source\": 0, \"target\": 5}, {\"weight\": 8221, \"source\": 0, \"target\": 4}, {\"weight\": 1473, \"source\": 1, \"target\": 7}, {\"weight\": 16024, \"source\": 1, \"target\": 3}, {\"weight\": 9211, \"source\": 1, \"target\": 8}, {\"weight\": 1546, \"source\": 1, \"target\": 2}, {\"weight\": 12978, \"source\": 1, \"target\": 6}, {\"weight\": 12429, \"source\": 1, \"target\": 5}, {\"weight\": 15361, \"source\": 1, \"target\": 4}, {\"weight\": 818, \"source\": 2, \"target\": 7}, {\"weight\": 16309, \"source\": 2, \"target\": 3}, {\"weight\": 8617, \"source\": 2, \"target\": 8}, {\"weight\": 12625, \"source\": 2, \"target\": 6}, {\"weight\": 11976, \"source\": 2, \"target\": 5}, {\"weight\": 14909, \"source\": 2, \"target\": 4}, {\"weight\": 16849, \"source\": 3, \"target\": 7}, {\"weight\": 16412, \"source\": 3, \"target\": 8}, {\"weight\": 6768, \"source\": 3, \"target\": 6}, {\"weight\": 7481, \"source\": 3, \"target\": 5}, {\"weight\": 7510, \"source\": 3, \"target\": 4}, {\"weight\": 14890, \"source\": 4, \"target\": 7}, {\"weight\": 14814, \"source\": 4, \"target\": 8}, {\"weight\": 3776, \"source\": 4, \"target\": 6}, {\"weight\": 5403, \"source\": 4, \"target\": 5}, {\"weight\": 12162, \"source\": 5, \"target\": 7}, {\"weight\": 18335, \"source\": 5, \"target\": 8}, {\"weight\": 1652, \"source\": 5, \"target\": 6}, {\"weight\": 12711, \"source\": 6, \"target\": 7}, {\"weight\": 17746, \"source\": 6, \"target\": 8}, {\"weight\": 8119, \"source\": 7, \"target\": 8}]}", "id": 1365, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: HAM, MHK, MDW, ASP, KCT, ZQZ, LZO, CRW, JTC\n- Travel distances (in kilometers) between each pair of airports:\nHAM to CRW: 6841\nHAM to ASP: 14535\nHAM to MHK: 7753\nHAM to JTC: 10344\nHAM to MDW: 7030\nHAM to LZO: 8271\nHAM to ZQZ: 8119\nHAM to KCT: 8221\nMHK to CRW: 1473\nMHK to ASP: 16024\nMHK to JTC: 9211\nMHK to MDW: 1546\nMHK to LZO: 12978\nMHK to ZQZ: 12429\nMHK to KCT: 15361\nMDW to CRW: 818\nMDW to ASP: 16309\nMDW to JTC: 8617\nMDW to LZO: 12625\nMDW to ZQZ: 11976\nMDW to KCT: 14909\nASP to CRW: 16849\nASP to JTC: 16412\nASP to LZO: 6768\nASP to ZQZ: 7481\nASP to KCT: 7510\nKCT to CRW: 14890\nKCT to JTC: 14814\nKCT to LZO: 3776\nKCT to ZQZ: 5403\nZQZ to CRW: 12162\nZQZ to JTC: 18335\nZQZ to LZO: 1652\nLZO to CRW: 12711\nLZO to JTC: 17746\nCRW to JTC: 8119\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TRK, CFE, PKY, GRB, AGR, FKQ, YTS, SLP, SPR\n- Travel distances (in kilometers) between each pair of airports:\nTRK to SPR: 16809\nTRK to CFE: 11924\nTRK to SLP: 15462\nTRK to GRB: 14516\nTRK to YTS: 14882\nTRK to AGR: 5222\nTRK to PKY: 1890\nTRK to FKQ: 2387\nCFE to SPR: 9022\nCFE to SLP: 9428\nCFE to GRB: 7168\nCFE to YTS: 6919\nCFE to AGR: 7783\nCFE to PKY: 12513\nCFE to FKQ: 14038\nPKY to SPR: 18529\nPKY to SLP: 17185\nPKY to GRB: 16239\nPKY to YTS: 16605\nPKY to AGR: 5850\nPKY to FKQ: 2799\nGRB to SPR: 3081\nGRB to SLP: 2792\nGRB to YTS: 1364\nGRB to AGR: 13490\nGRB to FKQ: 16903\nAGR to SPR: 15917\nAGR to SLP: 15724\nAGR to YTS: 13415\nAGR to FKQ: 7372\nFKQ to SPR: 19196\nFKQ to SLP: 17849\nFKQ to YTS: 17269\nYTS to SPR: 3637\nYTS to SLP: 3643\nSLP to SPR: 1822\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 47467, "style": "rule" }
{ "exact_answer": 47467, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"TRK\", \"id\": 0}, {\"name\": \"CFE\", \"id\": 1}, {\"name\": \"PKY\", \"id\": 2}, {\"name\": \"GRB\", \"id\": 3}, {\"name\": \"AGR\", \"id\": 4}, {\"name\": \"FKQ\", \"id\": 5}, {\"name\": \"YTS\", \"id\": 6}, {\"name\": \"SLP\", \"id\": 7}, {\"name\": \"SPR\", \"id\": 8}], \"links\": [{\"weight\": 16809, \"source\": 0, \"target\": 8}, {\"weight\": 11924, \"source\": 0, \"target\": 1}, {\"weight\": 15462, \"source\": 0, \"target\": 7}, {\"weight\": 14516, \"source\": 0, \"target\": 3}, {\"weight\": 14882, \"source\": 0, \"target\": 6}, {\"weight\": 5222, \"source\": 0, \"target\": 4}, {\"weight\": 1890, \"source\": 0, \"target\": 2}, {\"weight\": 2387, \"source\": 0, \"target\": 5}, {\"weight\": 9022, \"source\": 1, \"target\": 8}, {\"weight\": 9428, \"source\": 1, \"target\": 7}, {\"weight\": 7168, \"source\": 1, \"target\": 3}, {\"weight\": 6919, \"source\": 1, \"target\": 6}, {\"weight\": 7783, \"source\": 1, \"target\": 4}, {\"weight\": 12513, \"source\": 1, \"target\": 2}, {\"weight\": 14038, \"source\": 1, \"target\": 5}, {\"weight\": 18529, \"source\": 2, \"target\": 8}, {\"weight\": 17185, \"source\": 2, \"target\": 7}, {\"weight\": 16239, \"source\": 2, \"target\": 3}, {\"weight\": 16605, \"source\": 2, \"target\": 6}, {\"weight\": 5850, \"source\": 2, \"target\": 4}, {\"weight\": 2799, \"source\": 2, \"target\": 5}, {\"weight\": 3081, \"source\": 3, \"target\": 8}, {\"weight\": 2792, \"source\": 3, \"target\": 7}, {\"weight\": 1364, \"source\": 3, \"target\": 6}, {\"weight\": 13490, \"source\": 3, \"target\": 4}, {\"weight\": 16903, \"source\": 3, \"target\": 5}, {\"weight\": 15917, \"source\": 4, \"target\": 8}, {\"weight\": 15724, \"source\": 4, \"target\": 7}, {\"weight\": 13415, \"source\": 4, \"target\": 6}, {\"weight\": 7372, \"source\": 4, \"target\": 5}, {\"weight\": 19196, \"source\": 5, \"target\": 8}, {\"weight\": 17849, \"source\": 5, \"target\": 7}, {\"weight\": 17269, \"source\": 5, \"target\": 6}, {\"weight\": 3637, \"source\": 6, \"target\": 8}, {\"weight\": 3643, \"source\": 6, \"target\": 7}, {\"weight\": 1822, \"source\": 7, \"target\": 8}]}", "id": 1366, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TRK, CFE, PKY, GRB, AGR, FKQ, YTS, SLP, SPR\n- Travel distances (in kilometers) between each pair of airports:\nTRK to SPR: 16809\nTRK to CFE: 11924\nTRK to SLP: 15462\nTRK to GRB: 14516\nTRK to YTS: 14882\nTRK to AGR: 5222\nTRK to PKY: 1890\nTRK to FKQ: 2387\nCFE to SPR: 9022\nCFE to SLP: 9428\nCFE to GRB: 7168\nCFE to YTS: 6919\nCFE to AGR: 7783\nCFE to PKY: 12513\nCFE to FKQ: 14038\nPKY to SPR: 18529\nPKY to SLP: 17185\nPKY to GRB: 16239\nPKY to YTS: 16605\nPKY to AGR: 5850\nPKY to FKQ: 2799\nGRB to SPR: 3081\nGRB to SLP: 2792\nGRB to YTS: 1364\nGRB to AGR: 13490\nGRB to FKQ: 16903\nAGR to SPR: 15917\nAGR to SLP: 15724\nAGR to YTS: 13415\nAGR to FKQ: 7372\nFKQ to SPR: 19196\nFKQ to SLP: 17849\nFKQ to YTS: 17269\nYTS to SPR: 3637\nYTS to SLP: 3643\nSLP to SPR: 1822\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TGC, KTA, MRV, UIB, XMN, TOF, MIR, MII, DZA\n- Travel distances (in kilometers) between each pair of airports:\nTGC to MRV: 8470\nTGC to XMN: 3160\nTGC to UIB: 19488\nTGC to MII: 17729\nTGC to DZA: 8180\nTGC to MIR: 11192\nTGC to KTA: 3118\nTGC to TOF: 7469\nKTA to MRV: 10872\nKTA to XMN: 5361\nKTA to UIB: 19452\nKTA to MII: 17806\nKTA to DZA: 8779\nKTA to MIR: 13610\nKTA to TOF: 9725\nMRV to XMN: 7076\nMRV to UIB: 12267\nMRV to MII: 12423\nMRV to DZA: 6762\nMRV to MIR: 3114\nMRV to TOF: 3615\nUIB to XMN: 16743\nUIB to MII: 5439\nUIB to DZA: 14912\nUIB to MIR: 9663\nUIB to TOF: 14103\nXMN to MII: 18836\nXMN to DZA: 9751\nXMN to MIR: 10026\nXMN to TOF: 4686\nTOF to MII: 15006\nTOF to DZA: 9815\nTOF to MIR: 5953\nMIR to MII: 9682\nMIR to DZA: 7268\nMII to DZA: 11085\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 52659, "style": "rule" }
{ "exact_answer": 52659, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"TGC\", \"id\": 0}, {\"name\": \"KTA\", \"id\": 1}, {\"name\": \"MRV\", \"id\": 2}, {\"name\": \"UIB\", \"id\": 3}, {\"name\": \"XMN\", \"id\": 4}, {\"name\": \"TOF\", \"id\": 5}, {\"name\": \"MIR\", \"id\": 6}, {\"name\": \"MII\", \"id\": 7}, {\"name\": \"DZA\", \"id\": 8}], \"links\": [{\"weight\": 8470, \"source\": 0, \"target\": 2}, {\"weight\": 3160, \"source\": 0, \"target\": 4}, {\"weight\": 19488, \"source\": 0, \"target\": 3}, {\"weight\": 17729, \"source\": 0, \"target\": 7}, {\"weight\": 8180, \"source\": 0, \"target\": 8}, {\"weight\": 11192, \"source\": 0, \"target\": 6}, {\"weight\": 3118, \"source\": 0, \"target\": 1}, {\"weight\": 7469, \"source\": 0, \"target\": 5}, {\"weight\": 10872, \"source\": 1, \"target\": 2}, {\"weight\": 5361, \"source\": 1, \"target\": 4}, {\"weight\": 19452, \"source\": 1, \"target\": 3}, {\"weight\": 17806, \"source\": 1, \"target\": 7}, {\"weight\": 8779, \"source\": 1, \"target\": 8}, {\"weight\": 13610, \"source\": 1, \"target\": 6}, {\"weight\": 9725, \"source\": 1, \"target\": 5}, {\"weight\": 7076, \"source\": 2, \"target\": 4}, {\"weight\": 12267, \"source\": 2, \"target\": 3}, {\"weight\": 12423, \"source\": 2, \"target\": 7}, {\"weight\": 6762, \"source\": 2, \"target\": 8}, {\"weight\": 3114, \"source\": 2, \"target\": 6}, {\"weight\": 3615, \"source\": 2, \"target\": 5}, {\"weight\": 16743, \"source\": 3, \"target\": 4}, {\"weight\": 5439, \"source\": 3, \"target\": 7}, {\"weight\": 14912, \"source\": 3, \"target\": 8}, {\"weight\": 9663, \"source\": 3, \"target\": 6}, {\"weight\": 14103, \"source\": 3, \"target\": 5}, {\"weight\": 18836, \"source\": 4, \"target\": 7}, {\"weight\": 9751, \"source\": 4, \"target\": 8}, {\"weight\": 10026, \"source\": 4, \"target\": 6}, {\"weight\": 4686, \"source\": 4, \"target\": 5}, {\"weight\": 15006, \"source\": 5, \"target\": 7}, {\"weight\": 9815, \"source\": 5, \"target\": 8}, {\"weight\": 5953, \"source\": 5, \"target\": 6}, {\"weight\": 9682, \"source\": 6, \"target\": 7}, {\"weight\": 7268, \"source\": 6, \"target\": 8}, {\"weight\": 11085, \"source\": 7, \"target\": 8}]}", "id": 1367, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TGC, KTA, MRV, UIB, XMN, TOF, MIR, MII, DZA\n- Travel distances (in kilometers) between each pair of airports:\nTGC to MRV: 8470\nTGC to XMN: 3160\nTGC to UIB: 19488\nTGC to MII: 17729\nTGC to DZA: 8180\nTGC to MIR: 11192\nTGC to KTA: 3118\nTGC to TOF: 7469\nKTA to MRV: 10872\nKTA to XMN: 5361\nKTA to UIB: 19452\nKTA to MII: 17806\nKTA to DZA: 8779\nKTA to MIR: 13610\nKTA to TOF: 9725\nMRV to XMN: 7076\nMRV to UIB: 12267\nMRV to MII: 12423\nMRV to DZA: 6762\nMRV to MIR: 3114\nMRV to TOF: 3615\nUIB to XMN: 16743\nUIB to MII: 5439\nUIB to DZA: 14912\nUIB to MIR: 9663\nUIB to TOF: 14103\nXMN to MII: 18836\nXMN to DZA: 9751\nXMN to MIR: 10026\nXMN to TOF: 4686\nTOF to MII: 15006\nTOF to DZA: 9815\nTOF to MIR: 5953\nMIR to MII: 9682\nMIR to DZA: 7268\nMII to DZA: 11085\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TUN, ORH, JED, EAE, KWM, SJD, PGF, LJU, DUR\n- Travel distances (in kilometers) between each pair of airports:\nTUN to JED: 3254\nTUN to SJD: 10849\nTUN to PGF: 2107\nTUN to LJU: 1594\nTUN to ORH: 10287\nTUN to DUR: 8827\nTUN to EAE: 17494\nTUN to KWM: 15698\nORH to JED: 13462\nORH to SJD: 4746\nORH to PGF: 9663\nORH to LJU: 9971\nORH to DUR: 16490\nORH to EAE: 15243\nORH to KWM: 18548\nJED to SJD: 13999\nJED to PGF: 5094\nJED to LJU: 3533\nJED to DUR: 5820\nJED to EAE: 15050\nJED to KWM: 12829\nEAE to SJD: 11391\nEAE to PGF: 17985\nEAE to LJU: 16796\nEAE to DUR: 14076\nEAE to KWM: 3806\nKWM to SJD: 14846\nKWM to PGF: 16280\nKWM to LJU: 15000\nKWM to DUR: 12654\nSJD to PGF: 10169\nSJD to LJU: 10481\nSJD to DUR: 16551\nPGF to LJU: 1741\nPGF to DUR: 10083\nLJU to DUR: 9083\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 54669, "style": "rule" }
{ "exact_answer": 54669, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"TUN\", \"id\": 0}, {\"name\": \"ORH\", \"id\": 1}, {\"name\": \"JED\", \"id\": 2}, {\"name\": \"EAE\", \"id\": 3}, {\"name\": \"KWM\", \"id\": 4}, {\"name\": \"SJD\", \"id\": 5}, {\"name\": \"PGF\", \"id\": 6}, {\"name\": \"LJU\", \"id\": 7}, {\"name\": \"DUR\", \"id\": 8}], \"links\": [{\"weight\": 3254, \"source\": 0, \"target\": 2}, {\"weight\": 10849, \"source\": 0, \"target\": 5}, {\"weight\": 2107, \"source\": 0, \"target\": 6}, {\"weight\": 1594, \"source\": 0, \"target\": 7}, {\"weight\": 10287, \"source\": 0, \"target\": 1}, {\"weight\": 8827, \"source\": 0, \"target\": 8}, {\"weight\": 17494, \"source\": 0, \"target\": 3}, {\"weight\": 15698, \"source\": 0, \"target\": 4}, {\"weight\": 13462, \"source\": 1, \"target\": 2}, {\"weight\": 4746, \"source\": 1, \"target\": 5}, {\"weight\": 9663, \"source\": 1, \"target\": 6}, {\"weight\": 9971, \"source\": 1, \"target\": 7}, {\"weight\": 16490, \"source\": 1, \"target\": 8}, {\"weight\": 15243, \"source\": 1, \"target\": 3}, {\"weight\": 18548, \"source\": 1, \"target\": 4}, {\"weight\": 13999, \"source\": 2, \"target\": 5}, {\"weight\": 5094, \"source\": 2, \"target\": 6}, {\"weight\": 3533, \"source\": 2, \"target\": 7}, {\"weight\": 5820, \"source\": 2, \"target\": 8}, {\"weight\": 15050, \"source\": 2, \"target\": 3}, {\"weight\": 12829, \"source\": 2, \"target\": 4}, {\"weight\": 11391, \"source\": 3, \"target\": 5}, {\"weight\": 17985, \"source\": 3, \"target\": 6}, {\"weight\": 16796, \"source\": 3, \"target\": 7}, {\"weight\": 14076, \"source\": 3, \"target\": 8}, {\"weight\": 3806, \"source\": 3, \"target\": 4}, {\"weight\": 14846, \"source\": 4, \"target\": 5}, {\"weight\": 16280, \"source\": 4, \"target\": 6}, {\"weight\": 15000, \"source\": 4, \"target\": 7}, {\"weight\": 12654, \"source\": 4, \"target\": 8}, {\"weight\": 10169, \"source\": 5, \"target\": 6}, {\"weight\": 10481, \"source\": 5, \"target\": 7}, {\"weight\": 16551, \"source\": 5, \"target\": 8}, {\"weight\": 1741, \"source\": 6, \"target\": 7}, {\"weight\": 10083, \"source\": 6, \"target\": 8}, {\"weight\": 9083, \"source\": 7, \"target\": 8}]}", "id": 1368, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TUN, ORH, JED, EAE, KWM, SJD, PGF, LJU, DUR\n- Travel distances (in kilometers) between each pair of airports:\nTUN to JED: 3254\nTUN to SJD: 10849\nTUN to PGF: 2107\nTUN to LJU: 1594\nTUN to ORH: 10287\nTUN to DUR: 8827\nTUN to EAE: 17494\nTUN to KWM: 15698\nORH to JED: 13462\nORH to SJD: 4746\nORH to PGF: 9663\nORH to LJU: 9971\nORH to DUR: 16490\nORH to EAE: 15243\nORH to KWM: 18548\nJED to SJD: 13999\nJED to PGF: 5094\nJED to LJU: 3533\nJED to DUR: 5820\nJED to EAE: 15050\nJED to KWM: 12829\nEAE to SJD: 11391\nEAE to PGF: 17985\nEAE to LJU: 16796\nEAE to DUR: 14076\nEAE to KWM: 3806\nKWM to SJD: 14846\nKWM to PGF: 16280\nKWM to LJU: 15000\nKWM to DUR: 12654\nSJD to PGF: 10169\nSJD to LJU: 10481\nSJD to DUR: 16551\nPGF to LJU: 1741\nPGF to DUR: 10083\nLJU to DUR: 9083\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ACX, BZG, SPC, PLW, TMW, GAL, KCC, YXP, GHB\n- Travel distances (in kilometers) between each pair of airports:\nACX to GHB: 14750\nACX to YXP: 14929\nACX to GAL: 13571\nACX to SPC: 11834\nACX to BZG: 10228\nACX to PLW: 4094\nACX to KCC: 11874\nACX to TMW: 8710\nBZG to GHB: 8539\nBZG to YXP: 8380\nBZG to GAL: 11790\nBZG to SPC: 4288\nBZG to PLW: 13830\nBZG to KCC: 10093\nBZG to TMW: 18501\nSPC to GHB: 7750\nSPC to YXP: 8401\nSPC to GAL: 12263\nSPC to PLW: 14844\nSPC to KCC: 10785\nSPC to TMW: 19565\nPLW to GHB: 17679\nPLW to YXP: 17227\nPLW to GAL: 15958\nPLW to KCC: 14261\nPLW to TMW: 6037\nTMW to GHB: 16317\nTMW to YXP: 17254\nTMW to GAL: 13810\nTMW to KCC: 13989\nGAL to GHB: 7634\nGAL to YXP: 7413\nGAL to KCC: 2239\nKCC to GHB: 5950\nKCC to YXP: 5716\nYXP to GHB: 4775\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 58937, "style": "rule" }
{ "exact_answer": 58937, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"ACX\", \"id\": 0}, {\"name\": \"BZG\", \"id\": 1}, {\"name\": \"SPC\", \"id\": 2}, {\"name\": \"PLW\", \"id\": 3}, {\"name\": \"TMW\", \"id\": 4}, {\"name\": \"GAL\", \"id\": 5}, {\"name\": \"KCC\", \"id\": 6}, {\"name\": \"YXP\", \"id\": 7}, {\"name\": \"GHB\", \"id\": 8}], \"links\": [{\"weight\": 14750, \"source\": 0, \"target\": 8}, {\"weight\": 14929, \"source\": 0, \"target\": 7}, {\"weight\": 13571, \"source\": 0, \"target\": 5}, {\"weight\": 11834, \"source\": 0, \"target\": 2}, {\"weight\": 10228, \"source\": 0, \"target\": 1}, {\"weight\": 4094, \"source\": 0, \"target\": 3}, {\"weight\": 11874, \"source\": 0, \"target\": 6}, {\"weight\": 8710, \"source\": 0, \"target\": 4}, {\"weight\": 8539, \"source\": 1, \"target\": 8}, {\"weight\": 8380, \"source\": 1, \"target\": 7}, {\"weight\": 11790, \"source\": 1, \"target\": 5}, {\"weight\": 4288, \"source\": 1, \"target\": 2}, {\"weight\": 13830, \"source\": 1, \"target\": 3}, {\"weight\": 10093, \"source\": 1, \"target\": 6}, {\"weight\": 18501, \"source\": 1, \"target\": 4}, {\"weight\": 7750, \"source\": 2, \"target\": 8}, {\"weight\": 8401, \"source\": 2, \"target\": 7}, {\"weight\": 12263, \"source\": 2, \"target\": 5}, {\"weight\": 14844, \"source\": 2, \"target\": 3}, {\"weight\": 10785, \"source\": 2, \"target\": 6}, {\"weight\": 19565, \"source\": 2, \"target\": 4}, {\"weight\": 17679, \"source\": 3, \"target\": 8}, {\"weight\": 17227, \"source\": 3, \"target\": 7}, {\"weight\": 15958, \"source\": 3, \"target\": 5}, {\"weight\": 14261, \"source\": 3, \"target\": 6}, {\"weight\": 6037, \"source\": 3, \"target\": 4}, {\"weight\": 16317, \"source\": 4, \"target\": 8}, {\"weight\": 17254, \"source\": 4, \"target\": 7}, {\"weight\": 13810, \"source\": 4, \"target\": 5}, {\"weight\": 13989, \"source\": 4, \"target\": 6}, {\"weight\": 7634, \"source\": 5, \"target\": 8}, {\"weight\": 7413, \"source\": 5, \"target\": 7}, {\"weight\": 2239, \"source\": 5, \"target\": 6}, {\"weight\": 5950, \"source\": 6, \"target\": 8}, {\"weight\": 5716, \"source\": 6, \"target\": 7}, {\"weight\": 4775, \"source\": 7, \"target\": 8}]}", "id": 1369, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ACX, BZG, SPC, PLW, TMW, GAL, KCC, YXP, GHB\n- Travel distances (in kilometers) between each pair of airports:\nACX to GHB: 14750\nACX to YXP: 14929\nACX to GAL: 13571\nACX to SPC: 11834\nACX to BZG: 10228\nACX to PLW: 4094\nACX to KCC: 11874\nACX to TMW: 8710\nBZG to GHB: 8539\nBZG to YXP: 8380\nBZG to GAL: 11790\nBZG to SPC: 4288\nBZG to PLW: 13830\nBZG to KCC: 10093\nBZG to TMW: 18501\nSPC to GHB: 7750\nSPC to YXP: 8401\nSPC to GAL: 12263\nSPC to PLW: 14844\nSPC to KCC: 10785\nSPC to TMW: 19565\nPLW to GHB: 17679\nPLW to YXP: 17227\nPLW to GAL: 15958\nPLW to KCC: 14261\nPLW to TMW: 6037\nTMW to GHB: 16317\nTMW to YXP: 17254\nTMW to GAL: 13810\nTMW to KCC: 13989\nGAL to GHB: 7634\nGAL to YXP: 7413\nGAL to KCC: 2239\nKCC to GHB: 5950\nKCC to YXP: 5716\nYXP to GHB: 4775\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TRC, GNY, OSM, ELP, RAE, PBO, XEQ, GGW, LKL\n- Travel distances (in kilometers) between each pair of airports:\nTRC to GNY: 12066\nTRC to GGW: 3090\nTRC to ELP: 1907\nTRC to XEQ: 9143\nTRC to PBO: 17937\nTRC to OSM: 12472\nTRC to RAE: 14414\nTRC to LKL: 9761\nGNY to GGW: 11334\nGNY to ELP: 11738\nGNY to XEQ: 7127\nGNY to PBO: 13295\nGNY to OSM: 2385\nGNY to RAE: 3583\nGNY to LKL: 4504\nOSM to GGW: 11742\nOSM to ELP: 12125\nOSM to XEQ: 7514\nOSM to PBO: 12834\nOSM to RAE: 2977\nOSM to LKL: 4912\nELP to GGW: 1944\nELP to XEQ: 8657\nELP to PBO: 17277\nELP to RAE: 14064\nELP to LKL: 9275\nRAE to GGW: 13684\nRAE to XEQ: 9453\nRAE to PBO: 11669\nRAE to LKL: 6830\nPBO to GGW: 17731\nPBO to XEQ: 18599\nPBO to LKL: 15545\nXEQ to GGW: 8784\nXEQ to LKL: 4664\nGGW to LKL: 9402\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 56771, "style": "rule" }
{ "exact_answer": 56771, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"TRC\", \"id\": 0}, {\"name\": \"GNY\", \"id\": 1}, {\"name\": \"OSM\", \"id\": 2}, {\"name\": \"ELP\", \"id\": 3}, {\"name\": \"RAE\", \"id\": 4}, {\"name\": \"PBO\", \"id\": 5}, {\"name\": \"XEQ\", \"id\": 6}, {\"name\": \"GGW\", \"id\": 7}, {\"name\": \"LKL\", \"id\": 8}], \"links\": [{\"weight\": 12066, \"source\": 0, \"target\": 1}, {\"weight\": 3090, \"source\": 0, \"target\": 7}, {\"weight\": 1907, \"source\": 0, \"target\": 3}, {\"weight\": 9143, \"source\": 0, \"target\": 6}, {\"weight\": 17937, \"source\": 0, \"target\": 5}, {\"weight\": 12472, \"source\": 0, \"target\": 2}, {\"weight\": 14414, \"source\": 0, \"target\": 4}, {\"weight\": 9761, \"source\": 0, \"target\": 8}, {\"weight\": 11334, \"source\": 1, \"target\": 7}, {\"weight\": 11738, \"source\": 1, \"target\": 3}, {\"weight\": 7127, \"source\": 1, \"target\": 6}, {\"weight\": 13295, \"source\": 1, \"target\": 5}, {\"weight\": 2385, \"source\": 1, \"target\": 2}, {\"weight\": 3583, \"source\": 1, \"target\": 4}, {\"weight\": 4504, \"source\": 1, \"target\": 8}, {\"weight\": 11742, \"source\": 2, \"target\": 7}, {\"weight\": 12125, \"source\": 2, \"target\": 3}, {\"weight\": 7514, \"source\": 2, \"target\": 6}, {\"weight\": 12834, \"source\": 2, \"target\": 5}, {\"weight\": 2977, \"source\": 2, \"target\": 4}, {\"weight\": 4912, \"source\": 2, \"target\": 8}, {\"weight\": 1944, \"source\": 3, \"target\": 7}, {\"weight\": 8657, \"source\": 3, \"target\": 6}, {\"weight\": 17277, \"source\": 3, \"target\": 5}, {\"weight\": 14064, \"source\": 3, \"target\": 4}, {\"weight\": 9275, \"source\": 3, \"target\": 8}, {\"weight\": 13684, \"source\": 4, \"target\": 7}, {\"weight\": 9453, \"source\": 4, \"target\": 6}, {\"weight\": 11669, \"source\": 4, \"target\": 5}, {\"weight\": 6830, \"source\": 4, \"target\": 8}, {\"weight\": 17731, \"source\": 5, \"target\": 7}, {\"weight\": 18599, \"source\": 5, \"target\": 6}, {\"weight\": 15545, \"source\": 5, \"target\": 8}, {\"weight\": 8784, \"source\": 6, \"target\": 7}, {\"weight\": 4664, \"source\": 6, \"target\": 8}, {\"weight\": 9402, \"source\": 7, \"target\": 8}]}", "id": 1370, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TRC, GNY, OSM, ELP, RAE, PBO, XEQ, GGW, LKL\n- Travel distances (in kilometers) between each pair of airports:\nTRC to GNY: 12066\nTRC to GGW: 3090\nTRC to ELP: 1907\nTRC to XEQ: 9143\nTRC to PBO: 17937\nTRC to OSM: 12472\nTRC to RAE: 14414\nTRC to LKL: 9761\nGNY to GGW: 11334\nGNY to ELP: 11738\nGNY to XEQ: 7127\nGNY to PBO: 13295\nGNY to OSM: 2385\nGNY to RAE: 3583\nGNY to LKL: 4504\nOSM to GGW: 11742\nOSM to ELP: 12125\nOSM to XEQ: 7514\nOSM to PBO: 12834\nOSM to RAE: 2977\nOSM to LKL: 4912\nELP to GGW: 1944\nELP to XEQ: 8657\nELP to PBO: 17277\nELP to RAE: 14064\nELP to LKL: 9275\nRAE to GGW: 13684\nRAE to XEQ: 9453\nRAE to PBO: 11669\nRAE to LKL: 6830\nPBO to GGW: 17731\nPBO to XEQ: 18599\nPBO to LKL: 15545\nXEQ to GGW: 8784\nXEQ to LKL: 4664\nGGW to LKL: 9402\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: AUQ, MHQ, EAE, SYM, PDV, KVA, YGW, LOH, VLL\n- Travel distances (in kilometers) between each pair of airports:\nAUQ to MHQ: 17030\nAUQ to YGW: 12099\nAUQ to KVA: 18965\nAUQ to SYM: 14960\nAUQ to LOH: 13245\nAUQ to VLL: 18492\nAUQ to PDV: 19121\nAUQ to EAE: 6661\nMHQ to YGW: 7673\nMHQ to KVA: 2745\nMHQ to SYM: 7888\nMHQ to LOH: 11145\nMHQ to VLL: 3014\nMHQ to PDV: 3503\nMHQ to EAE: 15680\nEAE to YGW: 13922\nEAE to KVA: 16715\nEAE to SYM: 9294\nEAE to LOH: 15768\nEAE to VLL: 18472\nEAE to PDV: 18731\nSYM to YGW: 14340\nSYM to KVA: 8212\nSYM to LOH: 18143\nSYM to VLL: 10166\nSYM to PDV: 10521\nPDV to YGW: 8954\nPDV to KVA: 3855\nPDV to LOH: 11965\nPDV to VLL: 3480\nKVA to YGW: 8458\nKVA to LOH: 11780\nKVA to VLL: 2818\nYGW to LOH: 6671\nYGW to VLL: 7616\nLOH to VLL: 10248\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 61427, "style": "rule" }
{ "exact_answer": 61427, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"AUQ\", \"id\": 0}, {\"name\": \"MHQ\", \"id\": 1}, {\"name\": \"EAE\", \"id\": 2}, {\"name\": \"SYM\", \"id\": 3}, {\"name\": \"PDV\", \"id\": 4}, {\"name\": \"KVA\", \"id\": 5}, {\"name\": \"YGW\", \"id\": 6}, {\"name\": \"LOH\", \"id\": 7}, {\"name\": \"VLL\", \"id\": 8}], \"links\": [{\"weight\": 17030, \"source\": 0, \"target\": 1}, {\"weight\": 12099, \"source\": 0, \"target\": 6}, {\"weight\": 18965, \"source\": 0, \"target\": 5}, {\"weight\": 14960, \"source\": 0, \"target\": 3}, {\"weight\": 13245, \"source\": 0, \"target\": 7}, {\"weight\": 18492, \"source\": 0, \"target\": 8}, {\"weight\": 19121, \"source\": 0, \"target\": 4}, {\"weight\": 6661, \"source\": 0, \"target\": 2}, {\"weight\": 7673, \"source\": 1, \"target\": 6}, {\"weight\": 2745, \"source\": 1, \"target\": 5}, {\"weight\": 7888, \"source\": 1, \"target\": 3}, {\"weight\": 11145, \"source\": 1, \"target\": 7}, {\"weight\": 3014, \"source\": 1, \"target\": 8}, {\"weight\": 3503, \"source\": 1, \"target\": 4}, {\"weight\": 15680, \"source\": 1, \"target\": 2}, {\"weight\": 13922, \"source\": 2, \"target\": 6}, {\"weight\": 16715, \"source\": 2, \"target\": 5}, {\"weight\": 9294, \"source\": 2, \"target\": 3}, {\"weight\": 15768, \"source\": 2, \"target\": 7}, {\"weight\": 18472, \"source\": 2, \"target\": 8}, {\"weight\": 18731, \"source\": 2, \"target\": 4}, {\"weight\": 14340, \"source\": 3, \"target\": 6}, {\"weight\": 8212, \"source\": 3, \"target\": 5}, {\"weight\": 18143, \"source\": 3, \"target\": 7}, {\"weight\": 10166, \"source\": 3, \"target\": 8}, {\"weight\": 10521, \"source\": 3, \"target\": 4}, {\"weight\": 8954, \"source\": 4, \"target\": 6}, {\"weight\": 3855, \"source\": 4, \"target\": 5}, {\"weight\": 11965, \"source\": 4, \"target\": 7}, {\"weight\": 3480, \"source\": 4, \"target\": 8}, {\"weight\": 8458, \"source\": 5, \"target\": 6}, {\"weight\": 11780, \"source\": 5, \"target\": 7}, {\"weight\": 2818, \"source\": 5, \"target\": 8}, {\"weight\": 6671, \"source\": 6, \"target\": 7}, {\"weight\": 7616, \"source\": 6, \"target\": 8}, {\"weight\": 10248, \"source\": 7, \"target\": 8}]}", "id": 1371, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: AUQ, MHQ, EAE, SYM, PDV, KVA, YGW, LOH, VLL\n- Travel distances (in kilometers) between each pair of airports:\nAUQ to MHQ: 17030\nAUQ to YGW: 12099\nAUQ to KVA: 18965\nAUQ to SYM: 14960\nAUQ to LOH: 13245\nAUQ to VLL: 18492\nAUQ to PDV: 19121\nAUQ to EAE: 6661\nMHQ to YGW: 7673\nMHQ to KVA: 2745\nMHQ to SYM: 7888\nMHQ to LOH: 11145\nMHQ to VLL: 3014\nMHQ to PDV: 3503\nMHQ to EAE: 15680\nEAE to YGW: 13922\nEAE to KVA: 16715\nEAE to SYM: 9294\nEAE to LOH: 15768\nEAE to VLL: 18472\nEAE to PDV: 18731\nSYM to YGW: 14340\nSYM to KVA: 8212\nSYM to LOH: 18143\nSYM to VLL: 10166\nSYM to PDV: 10521\nPDV to YGW: 8954\nPDV to KVA: 3855\nPDV to LOH: 11965\nPDV to VLL: 3480\nKVA to YGW: 8458\nKVA to LOH: 11780\nKVA to VLL: 2818\nYGW to LOH: 6671\nYGW to VLL: 7616\nLOH to VLL: 10248\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CAG, KVD, YZV, OVB, GBT, VIJ, MDE, XFN, OMR\n- Travel distances (in kilometers) between each pair of airports:\nCAG to OVB: 5552\nCAG to YZV: 6502\nCAG to MDE: 9115\nCAG to VIJ: 8068\nCAG to OMR: 1949\nCAG to XFN: 9319\nCAG to GBT: 4055\nCAG to KVD: 3162\nKVD to OVB: 3201\nKVD to YZV: 8921\nKVD to MDE: 12207\nKVD to VIJ: 10684\nKVD to OMR: 2346\nKVD to XFN: 6310\nKVD to GBT: 1569\nYZV to OVB: 10158\nYZV to MDE: 5140\nYZV to VIJ: 3943\nYZV to OMR: 7472\nYZV to XFN: 12789\nYZV to GBT: 9814\nOVB to MDE: 13608\nOVB to VIJ: 12060\nOVB to OMR: 4720\nOVB to XFN: 3957\nOVB to GBT: 3427\nGBT to MDE: 13100\nGBT to VIJ: 11577\nGBT to OMR: 3239\nGBT to XFN: 5850\nVIJ to MDE: 2093\nVIJ to OMR: 9268\nVIJ to XFN: 14615\nMDE to OMR: 10890\nMDE to XFN: 15694\nXFN to OMR: 8503\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 40980, "style": "rule" }
{ "exact_answer": 40980, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"CAG\", \"id\": 0}, {\"name\": \"KVD\", \"id\": 1}, {\"name\": \"YZV\", \"id\": 2}, {\"name\": \"OVB\", \"id\": 3}, {\"name\": \"GBT\", \"id\": 4}, {\"name\": \"VIJ\", \"id\": 5}, {\"name\": \"MDE\", \"id\": 6}, {\"name\": \"XFN\", \"id\": 7}, {\"name\": \"OMR\", \"id\": 8}], \"links\": [{\"weight\": 5552, \"source\": 0, \"target\": 3}, {\"weight\": 6502, \"source\": 0, \"target\": 2}, {\"weight\": 9115, \"source\": 0, \"target\": 6}, {\"weight\": 8068, \"source\": 0, \"target\": 5}, {\"weight\": 1949, \"source\": 0, \"target\": 8}, {\"weight\": 9319, \"source\": 0, \"target\": 7}, {\"weight\": 4055, \"source\": 0, \"target\": 4}, {\"weight\": 3162, \"source\": 0, \"target\": 1}, {\"weight\": 3201, \"source\": 1, \"target\": 3}, {\"weight\": 8921, \"source\": 1, \"target\": 2}, {\"weight\": 12207, \"source\": 1, \"target\": 6}, {\"weight\": 10684, \"source\": 1, \"target\": 5}, {\"weight\": 2346, \"source\": 1, \"target\": 8}, {\"weight\": 6310, \"source\": 1, \"target\": 7}, {\"weight\": 1569, \"source\": 1, \"target\": 4}, {\"weight\": 10158, \"source\": 2, \"target\": 3}, {\"weight\": 5140, \"source\": 2, \"target\": 6}, {\"weight\": 3943, \"source\": 2, \"target\": 5}, {\"weight\": 7472, \"source\": 2, \"target\": 8}, {\"weight\": 12789, \"source\": 2, \"target\": 7}, {\"weight\": 9814, \"source\": 2, \"target\": 4}, {\"weight\": 13608, \"source\": 3, \"target\": 6}, {\"weight\": 12060, \"source\": 3, \"target\": 5}, {\"weight\": 4720, \"source\": 3, \"target\": 8}, {\"weight\": 3957, \"source\": 3, \"target\": 7}, {\"weight\": 3427, \"source\": 3, \"target\": 4}, {\"weight\": 13100, \"source\": 4, \"target\": 6}, {\"weight\": 11577, \"source\": 4, \"target\": 5}, {\"weight\": 3239, \"source\": 4, \"target\": 8}, {\"weight\": 5850, \"source\": 4, \"target\": 7}, {\"weight\": 2093, \"source\": 5, \"target\": 6}, {\"weight\": 9268, \"source\": 5, \"target\": 8}, {\"weight\": 14615, \"source\": 5, \"target\": 7}, {\"weight\": 10890, \"source\": 6, \"target\": 8}, {\"weight\": 15694, \"source\": 6, \"target\": 7}, {\"weight\": 8503, \"source\": 7, \"target\": 8}]}", "id": 1372, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CAG, KVD, YZV, OVB, GBT, VIJ, MDE, XFN, OMR\n- Travel distances (in kilometers) between each pair of airports:\nCAG to OVB: 5552\nCAG to YZV: 6502\nCAG to MDE: 9115\nCAG to VIJ: 8068\nCAG to OMR: 1949\nCAG to XFN: 9319\nCAG to GBT: 4055\nCAG to KVD: 3162\nKVD to OVB: 3201\nKVD to YZV: 8921\nKVD to MDE: 12207\nKVD to VIJ: 10684\nKVD to OMR: 2346\nKVD to XFN: 6310\nKVD to GBT: 1569\nYZV to OVB: 10158\nYZV to MDE: 5140\nYZV to VIJ: 3943\nYZV to OMR: 7472\nYZV to XFN: 12789\nYZV to GBT: 9814\nOVB to MDE: 13608\nOVB to VIJ: 12060\nOVB to OMR: 4720\nOVB to XFN: 3957\nOVB to GBT: 3427\nGBT to MDE: 13100\nGBT to VIJ: 11577\nGBT to OMR: 3239\nGBT to XFN: 5850\nVIJ to MDE: 2093\nVIJ to OMR: 9268\nVIJ to XFN: 14615\nMDE to OMR: 10890\nMDE to XFN: 15694\nXFN to OMR: 8503\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: VDS, LLW, BLQ, OGG, NRL, ENA, TNR, LWY, TNK\n- Travel distances (in kilometers) between each pair of airports:\nVDS to BLQ: 3149\nVDS to TNK: 11789\nVDS to ENA: 11057\nVDS to OGG: 12857\nVDS to TNR: 10717\nVDS to LLW: 9943\nVDS to NRL: 2436\nVDS to LWY: 11472\nLLW to BLQ: 7375\nLLW to TNK: 19093\nLLW to ENA: 18361\nLLW to OGG: 18945\nLLW to TNR: 2577\nLLW to NRL: 9058\nLLW to LWY: 10535\nBLQ to TNK: 11981\nBLQ to ENA: 11249\nBLQ to OGG: 12997\nBLQ to TNR: 8093\nBLQ to NRL: 1942\nBLQ to LWY: 11120\nOGG to TNK: 5462\nOGG to ENA: 4730\nOGG to TNR: 17656\nOGG to NRL: 11784\nOGG to LWY: 9918\nNRL to TNK: 10716\nNRL to ENA: 9984\nNRL to TNR: 9872\nNRL to LWY: 11631\nENA to TNK: 922\nENA to TNR: 19174\nENA to LWY: 14326\nTNR to TNK: 19906\nTNR to LWY: 8071\nLWY to TNK: 15058\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 49760, "style": "rule" }
{ "exact_answer": 49760, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"VDS\", \"id\": 0}, {\"name\": \"LLW\", \"id\": 1}, {\"name\": \"BLQ\", \"id\": 2}, {\"name\": \"OGG\", \"id\": 3}, {\"name\": \"NRL\", \"id\": 4}, {\"name\": \"ENA\", \"id\": 5}, {\"name\": \"TNR\", \"id\": 6}, {\"name\": \"LWY\", \"id\": 7}, {\"name\": \"TNK\", \"id\": 8}], \"links\": [{\"weight\": 3149, \"source\": 0, \"target\": 2}, {\"weight\": 11789, \"source\": 0, \"target\": 8}, {\"weight\": 11057, \"source\": 0, \"target\": 5}, {\"weight\": 12857, \"source\": 0, \"target\": 3}, {\"weight\": 10717, \"source\": 0, \"target\": 6}, {\"weight\": 9943, \"source\": 0, \"target\": 1}, {\"weight\": 2436, \"source\": 0, \"target\": 4}, {\"weight\": 11472, \"source\": 0, \"target\": 7}, {\"weight\": 7375, \"source\": 1, \"target\": 2}, {\"weight\": 19093, \"source\": 1, \"target\": 8}, {\"weight\": 18361, \"source\": 1, \"target\": 5}, {\"weight\": 18945, \"source\": 1, \"target\": 3}, {\"weight\": 2577, \"source\": 1, \"target\": 6}, {\"weight\": 9058, \"source\": 1, \"target\": 4}, {\"weight\": 10535, \"source\": 1, \"target\": 7}, {\"weight\": 11981, \"source\": 2, \"target\": 8}, {\"weight\": 11249, \"source\": 2, \"target\": 5}, {\"weight\": 12997, \"source\": 2, \"target\": 3}, {\"weight\": 8093, \"source\": 2, \"target\": 6}, {\"weight\": 1942, \"source\": 2, \"target\": 4}, {\"weight\": 11120, \"source\": 2, \"target\": 7}, {\"weight\": 5462, \"source\": 3, \"target\": 8}, {\"weight\": 4730, \"source\": 3, \"target\": 5}, {\"weight\": 17656, \"source\": 3, \"target\": 6}, {\"weight\": 11784, \"source\": 3, \"target\": 4}, {\"weight\": 9918, \"source\": 3, \"target\": 7}, {\"weight\": 10716, \"source\": 4, \"target\": 8}, {\"weight\": 9984, \"source\": 4, \"target\": 5}, {\"weight\": 9872, \"source\": 4, \"target\": 6}, {\"weight\": 11631, \"source\": 4, \"target\": 7}, {\"weight\": 922, \"source\": 5, \"target\": 8}, {\"weight\": 19174, \"source\": 5, \"target\": 6}, {\"weight\": 14326, \"source\": 5, \"target\": 7}, {\"weight\": 19906, \"source\": 6, \"target\": 8}, {\"weight\": 8071, \"source\": 6, \"target\": 7}, {\"weight\": 15058, \"source\": 7, \"target\": 8}]}", "id": 1373, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: VDS, LLW, BLQ, OGG, NRL, ENA, TNR, LWY, TNK\n- Travel distances (in kilometers) between each pair of airports:\nVDS to BLQ: 3149\nVDS to TNK: 11789\nVDS to ENA: 11057\nVDS to OGG: 12857\nVDS to TNR: 10717\nVDS to LLW: 9943\nVDS to NRL: 2436\nVDS to LWY: 11472\nLLW to BLQ: 7375\nLLW to TNK: 19093\nLLW to ENA: 18361\nLLW to OGG: 18945\nLLW to TNR: 2577\nLLW to NRL: 9058\nLLW to LWY: 10535\nBLQ to TNK: 11981\nBLQ to ENA: 11249\nBLQ to OGG: 12997\nBLQ to TNR: 8093\nBLQ to NRL: 1942\nBLQ to LWY: 11120\nOGG to TNK: 5462\nOGG to ENA: 4730\nOGG to TNR: 17656\nOGG to NRL: 11784\nOGG to LWY: 9918\nNRL to TNK: 10716\nNRL to ENA: 9984\nNRL to TNR: 9872\nNRL to LWY: 11631\nENA to TNK: 922\nENA to TNR: 19174\nENA to LWY: 14326\nTNR to TNK: 19906\nTNR to LWY: 8071\nLWY to TNK: 15058\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PTP, DZA, QRW, DBO, CLO, ELQ, IOA, BEJ, GPT\n- Travel distances (in kilometers) between each pair of airports:\nPTP to CLO: 2392\nPTP to IOA: 9190\nPTP to GPT: 3562\nPTP to DZA: 14536\nPTP to ELQ: 11127\nPTP to BEJ: 19012\nPTP to DBO: 17644\nPTP to QRW: 9629\nDZA to CLO: 14894\nDZA to IOA: 6548\nDZA to GPT: 15163\nDZA to ELQ: 4691\nDZA to BEJ: 9219\nDZA to DBO: 10738\nDZA to QRW: 5499\nQRW to CLO: 10883\nQRW to IOA: 5286\nQRW to GPT: 10256\nQRW to ELQ: 4795\nQRW to BEJ: 13296\nQRW to DBO: 16152\nDBO to CLO: 15841\nDBO to IOA: 15705\nDBO to GPT: 14920\nDBO to ELQ: 13266\nDBO to BEJ: 6092\nCLO to IOA: 11011\nCLO to GPT: 4032\nCLO to ELQ: 12884\nCLO to BEJ: 19661\nELQ to IOA: 2723\nELQ to GPT: 11966\nELQ to BEJ: 8831\nIOA to GPT: 10051\nIOA to BEJ: 11245\nBEJ to GPT: 16586\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 58862, "style": "rule" }
{ "exact_answer": 58862, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"PTP\", \"id\": 0}, {\"name\": \"DZA\", \"id\": 1}, {\"name\": \"QRW\", \"id\": 2}, {\"name\": \"DBO\", \"id\": 3}, {\"name\": \"CLO\", \"id\": 4}, {\"name\": \"ELQ\", \"id\": 5}, {\"name\": \"IOA\", \"id\": 6}, {\"name\": \"BEJ\", \"id\": 7}, {\"name\": \"GPT\", \"id\": 8}], \"links\": [{\"weight\": 2392, \"source\": 0, \"target\": 4}, {\"weight\": 9190, \"source\": 0, \"target\": 6}, {\"weight\": 3562, \"source\": 0, \"target\": 8}, {\"weight\": 14536, \"source\": 0, \"target\": 1}, {\"weight\": 11127, \"source\": 0, \"target\": 5}, {\"weight\": 19012, \"source\": 0, \"target\": 7}, {\"weight\": 17644, \"source\": 0, \"target\": 3}, {\"weight\": 9629, \"source\": 0, \"target\": 2}, {\"weight\": 14894, \"source\": 1, \"target\": 4}, {\"weight\": 6548, \"source\": 1, \"target\": 6}, {\"weight\": 15163, \"source\": 1, \"target\": 8}, {\"weight\": 4691, \"source\": 1, \"target\": 5}, {\"weight\": 9219, \"source\": 1, \"target\": 7}, {\"weight\": 10738, \"source\": 1, \"target\": 3}, {\"weight\": 5499, \"source\": 1, \"target\": 2}, {\"weight\": 10883, \"source\": 2, \"target\": 4}, {\"weight\": 5286, \"source\": 2, \"target\": 6}, {\"weight\": 10256, \"source\": 2, \"target\": 8}, {\"weight\": 4795, \"source\": 2, \"target\": 5}, {\"weight\": 13296, \"source\": 2, \"target\": 7}, {\"weight\": 16152, \"source\": 2, \"target\": 3}, {\"weight\": 15841, \"source\": 3, \"target\": 4}, {\"weight\": 15705, \"source\": 3, \"target\": 6}, {\"weight\": 14920, \"source\": 3, \"target\": 8}, {\"weight\": 13266, \"source\": 3, \"target\": 5}, {\"weight\": 6092, \"source\": 3, \"target\": 7}, {\"weight\": 11011, \"source\": 4, \"target\": 6}, {\"weight\": 4032, \"source\": 4, \"target\": 8}, {\"weight\": 12884, \"source\": 4, \"target\": 5}, {\"weight\": 19661, \"source\": 4, \"target\": 7}, {\"weight\": 2723, \"source\": 5, \"target\": 6}, {\"weight\": 11966, \"source\": 5, \"target\": 8}, {\"weight\": 8831, \"source\": 5, \"target\": 7}, {\"weight\": 10051, \"source\": 6, \"target\": 8}, {\"weight\": 11245, \"source\": 6, \"target\": 7}, {\"weight\": 16586, \"source\": 7, \"target\": 8}]}", "id": 1374, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PTP, DZA, QRW, DBO, CLO, ELQ, IOA, BEJ, GPT\n- Travel distances (in kilometers) between each pair of airports:\nPTP to CLO: 2392\nPTP to IOA: 9190\nPTP to GPT: 3562\nPTP to DZA: 14536\nPTP to ELQ: 11127\nPTP to BEJ: 19012\nPTP to DBO: 17644\nPTP to QRW: 9629\nDZA to CLO: 14894\nDZA to IOA: 6548\nDZA to GPT: 15163\nDZA to ELQ: 4691\nDZA to BEJ: 9219\nDZA to DBO: 10738\nDZA to QRW: 5499\nQRW to CLO: 10883\nQRW to IOA: 5286\nQRW to GPT: 10256\nQRW to ELQ: 4795\nQRW to BEJ: 13296\nQRW to DBO: 16152\nDBO to CLO: 15841\nDBO to IOA: 15705\nDBO to GPT: 14920\nDBO to ELQ: 13266\nDBO to BEJ: 6092\nCLO to IOA: 11011\nCLO to GPT: 4032\nCLO to ELQ: 12884\nCLO to BEJ: 19661\nELQ to IOA: 2723\nELQ to GPT: 11966\nELQ to BEJ: 8831\nIOA to GPT: 10051\nIOA to BEJ: 11245\nBEJ to GPT: 16586\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CUL, YCO, FNA, OMH, KCK, AVN, YPW, YUT, POM\n- Travel distances (in kilometers) between each pair of airports:\nCUL to KCK: 13814\nCUL to FNA: 10549\nCUL to YCO: 4916\nCUL to YUT: 5281\nCUL to YPW: 3186\nCUL to AVN: 10101\nCUL to POM: 13758\nCUL to OMH: 14309\nYCO to KCK: 13215\nYCO to FNA: 11046\nYCO to YUT: 2229\nYCO to YPW: 2542\nYCO to AVN: 9394\nYCO to POM: 14880\nYCO to OMH: 13303\nFNA to KCK: 11917\nFNA to YUT: 10351\nFNA to YPW: 10993\nFNA to AVN: 5111\nFNA to POM: 18328\nFNA to OMH: 7900\nOMH to KCK: 5978\nOMH to YUT: 12363\nOMH to YPW: 12615\nOMH to AVN: 4782\nOMH to POM: 12021\nKCK to YUT: 14252\nKCK to YPW: 10909\nKCK to AVN: 7963\nKCK to POM: 9102\nAVN to YUT: 8268\nAVN to YPW: 8689\nAVN to POM: 15108\nYPW to YUT: 3579\nYPW to POM: 12698\nYUT to POM: 15917\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 57039, "style": "rule" }
{ "exact_answer": 57039, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"CUL\", \"id\": 0}, {\"name\": \"YCO\", \"id\": 1}, {\"name\": \"FNA\", \"id\": 2}, {\"name\": \"OMH\", \"id\": 3}, {\"name\": \"KCK\", \"id\": 4}, {\"name\": \"AVN\", \"id\": 5}, {\"name\": \"YPW\", \"id\": 6}, {\"name\": \"YUT\", \"id\": 7}, {\"name\": \"POM\", \"id\": 8}], \"links\": [{\"weight\": 13814, \"source\": 0, \"target\": 4}, {\"weight\": 10549, \"source\": 0, \"target\": 2}, {\"weight\": 4916, \"source\": 0, \"target\": 1}, {\"weight\": 5281, \"source\": 0, \"target\": 7}, {\"weight\": 3186, \"source\": 0, \"target\": 6}, {\"weight\": 10101, \"source\": 0, \"target\": 5}, {\"weight\": 13758, \"source\": 0, \"target\": 8}, {\"weight\": 14309, \"source\": 0, \"target\": 3}, {\"weight\": 13215, \"source\": 1, \"target\": 4}, {\"weight\": 11046, \"source\": 1, \"target\": 2}, {\"weight\": 2229, \"source\": 1, \"target\": 7}, {\"weight\": 2542, \"source\": 1, \"target\": 6}, {\"weight\": 9394, \"source\": 1, \"target\": 5}, {\"weight\": 14880, \"source\": 1, \"target\": 8}, {\"weight\": 13303, \"source\": 1, \"target\": 3}, {\"weight\": 11917, \"source\": 2, \"target\": 4}, {\"weight\": 10351, \"source\": 2, \"target\": 7}, {\"weight\": 10993, \"source\": 2, \"target\": 6}, {\"weight\": 5111, \"source\": 2, \"target\": 5}, {\"weight\": 18328, \"source\": 2, \"target\": 8}, {\"weight\": 7900, \"source\": 2, \"target\": 3}, {\"weight\": 5978, \"source\": 3, \"target\": 4}, {\"weight\": 12363, \"source\": 3, \"target\": 7}, {\"weight\": 12615, \"source\": 3, \"target\": 6}, {\"weight\": 4782, \"source\": 3, \"target\": 5}, {\"weight\": 12021, \"source\": 3, \"target\": 8}, {\"weight\": 14252, \"source\": 4, \"target\": 7}, {\"weight\": 10909, \"source\": 4, \"target\": 6}, {\"weight\": 7963, \"source\": 4, \"target\": 5}, {\"weight\": 9102, \"source\": 4, \"target\": 8}, {\"weight\": 8268, \"source\": 5, \"target\": 7}, {\"weight\": 8689, \"source\": 5, \"target\": 6}, {\"weight\": 15108, \"source\": 5, \"target\": 8}, {\"weight\": 3579, \"source\": 6, \"target\": 7}, {\"weight\": 12698, \"source\": 6, \"target\": 8}, {\"weight\": 15917, \"source\": 7, \"target\": 8}]}", "id": 1375, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CUL, YCO, FNA, OMH, KCK, AVN, YPW, YUT, POM\n- Travel distances (in kilometers) between each pair of airports:\nCUL to KCK: 13814\nCUL to FNA: 10549\nCUL to YCO: 4916\nCUL to YUT: 5281\nCUL to YPW: 3186\nCUL to AVN: 10101\nCUL to POM: 13758\nCUL to OMH: 14309\nYCO to KCK: 13215\nYCO to FNA: 11046\nYCO to YUT: 2229\nYCO to YPW: 2542\nYCO to AVN: 9394\nYCO to POM: 14880\nYCO to OMH: 13303\nFNA to KCK: 11917\nFNA to YUT: 10351\nFNA to YPW: 10993\nFNA to AVN: 5111\nFNA to POM: 18328\nFNA to OMH: 7900\nOMH to KCK: 5978\nOMH to YUT: 12363\nOMH to YPW: 12615\nOMH to AVN: 4782\nOMH to POM: 12021\nKCK to YUT: 14252\nKCK to YPW: 10909\nKCK to AVN: 7963\nKCK to POM: 9102\nAVN to YUT: 8268\nAVN to YPW: 8689\nAVN to POM: 15108\nYPW to YUT: 3579\nYPW to POM: 12698\nYUT to POM: 15917\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PNA, LBF, BOS, CAE, ATA, DSA, FLO, OSD, GKA\n- Travel distances (in kilometers) between each pair of airports:\nPNA to BOS: 5774\nPNA to CAE: 7051\nPNA to FLO: 7089\nPNA to DSA: 2164\nPNA to GKA: 16292\nPNA to OSD: 3334\nPNA to ATA: 10128\nPNA to LBF: 8835\nLBF to BOS: 3180\nLBF to CAE: 2597\nLBF to FLO: 2672\nLBF to DSA: 8633\nLBF to GKA: 14453\nLBF to OSD: 8666\nLBF to ATA: 7116\nBOS to CAE: 1289\nBOS to FLO: 1328\nBOS to DSA: 5819\nBOS to GKA: 16260\nBOS to OSD: 6449\nBOS to ATA: 6449\nCAE to FLO: 301\nCAE to DSA: 7108\nCAE to GKA: 16135\nCAE to OSD: 7709\nCAE to ATA: 5711\nATA to FLO: 5728\nATA to DSA: 11402\nATA to GKA: 17222\nATA to OSD: 12406\nDSA to FLO: 7147\nDSA to GKA: 15111\nDSA to OSD: 2588\nFLO to GKA: 16273\nFLO to OSD: 7745\nOSD to GKA: 14126\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 53216, "style": "rule" }
{ "exact_answer": 53216, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"PNA\", \"id\": 0}, {\"name\": \"LBF\", \"id\": 1}, {\"name\": \"BOS\", \"id\": 2}, {\"name\": \"CAE\", \"id\": 3}, {\"name\": \"ATA\", \"id\": 4}, {\"name\": \"DSA\", \"id\": 5}, {\"name\": \"FLO\", \"id\": 6}, {\"name\": \"OSD\", \"id\": 7}, {\"name\": \"GKA\", \"id\": 8}], \"links\": [{\"weight\": 5774, \"source\": 0, \"target\": 2}, {\"weight\": 7051, \"source\": 0, \"target\": 3}, {\"weight\": 7089, \"source\": 0, \"target\": 6}, {\"weight\": 2164, \"source\": 0, \"target\": 5}, {\"weight\": 16292, \"source\": 0, \"target\": 8}, {\"weight\": 3334, \"source\": 0, \"target\": 7}, {\"weight\": 10128, \"source\": 0, \"target\": 4}, {\"weight\": 8835, \"source\": 0, \"target\": 1}, {\"weight\": 3180, \"source\": 1, \"target\": 2}, {\"weight\": 2597, \"source\": 1, \"target\": 3}, {\"weight\": 2672, \"source\": 1, \"target\": 6}, {\"weight\": 8633, \"source\": 1, \"target\": 5}, {\"weight\": 14453, \"source\": 1, \"target\": 8}, {\"weight\": 8666, \"source\": 1, \"target\": 7}, {\"weight\": 7116, \"source\": 1, \"target\": 4}, {\"weight\": 1289, \"source\": 2, \"target\": 3}, {\"weight\": 1328, \"source\": 2, \"target\": 6}, {\"weight\": 5819, \"source\": 2, \"target\": 5}, {\"weight\": 16260, \"source\": 2, \"target\": 8}, {\"weight\": 6449, \"source\": 2, \"target\": 7}, {\"weight\": 6449, \"source\": 2, \"target\": 4}, {\"weight\": 301, \"source\": 3, \"target\": 6}, {\"weight\": 7108, \"source\": 3, \"target\": 5}, {\"weight\": 16135, \"source\": 3, \"target\": 8}, {\"weight\": 7709, \"source\": 3, \"target\": 7}, {\"weight\": 5711, \"source\": 3, \"target\": 4}, {\"weight\": 5728, \"source\": 4, \"target\": 6}, {\"weight\": 11402, \"source\": 4, \"target\": 5}, {\"weight\": 17222, \"source\": 4, \"target\": 8}, {\"weight\": 12406, \"source\": 4, \"target\": 7}, {\"weight\": 7147, \"source\": 5, \"target\": 6}, {\"weight\": 15111, \"source\": 5, \"target\": 8}, {\"weight\": 2588, \"source\": 5, \"target\": 7}, {\"weight\": 16273, \"source\": 6, \"target\": 8}, {\"weight\": 7745, \"source\": 6, \"target\": 7}, {\"weight\": 14126, \"source\": 7, \"target\": 8}]}", "id": 1376, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PNA, LBF, BOS, CAE, ATA, DSA, FLO, OSD, GKA\n- Travel distances (in kilometers) between each pair of airports:\nPNA to BOS: 5774\nPNA to CAE: 7051\nPNA to FLO: 7089\nPNA to DSA: 2164\nPNA to GKA: 16292\nPNA to OSD: 3334\nPNA to ATA: 10128\nPNA to LBF: 8835\nLBF to BOS: 3180\nLBF to CAE: 2597\nLBF to FLO: 2672\nLBF to DSA: 8633\nLBF to GKA: 14453\nLBF to OSD: 8666\nLBF to ATA: 7116\nBOS to CAE: 1289\nBOS to FLO: 1328\nBOS to DSA: 5819\nBOS to GKA: 16260\nBOS to OSD: 6449\nBOS to ATA: 6449\nCAE to FLO: 301\nCAE to DSA: 7108\nCAE to GKA: 16135\nCAE to OSD: 7709\nCAE to ATA: 5711\nATA to FLO: 5728\nATA to DSA: 11402\nATA to GKA: 17222\nATA to OSD: 12406\nDSA to FLO: 7147\nDSA to GKA: 15111\nDSA to OSD: 2588\nFLO to GKA: 16273\nFLO to OSD: 7745\nOSD to GKA: 14126\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SYX, MAU, AQP, HNS, YFA, SCT, CIJ, HIR, CGM\n- Travel distances (in kilometers) between each pair of airports:\nSYX to CGM: 2499\nSYX to CIJ: 20499\nSYX to AQP: 19796\nSYX to HIR: 7117\nSYX to SCT: 7607\nSYX to HNS: 12644\nSYX to MAU: 13355\nSYX to YFA: 14070\nMAU to CGM: 11677\nMAU to CIJ: 10841\nMAU to AQP: 10592\nMAU to HIR: 6748\nMAU to SCT: 19595\nMAU to HNS: 10025\nMAU to YFA: 11023\nAQP to CGM: 19659\nAQP to CIJ: 973\nAQP to HIR: 15458\nAQP to SCT: 14774\nAQP to HNS: 10379\nAQP to YFA: 7957\nHNS to CGM: 12647\nHNS to CIJ: 11229\nHNS to HIR: 12700\nHNS to SCT: 15371\nHNS to YFA: 5107\nYFA to CGM: 14175\nYFA to CIJ: 8419\nYFA to HIR: 15034\nYFA to SCT: 12843\nSCT to CGM: 9448\nSCT to CIJ: 14939\nSCT to HIR: 13983\nCIJ to CGM: 20093\nCIJ to HIR: 15707\nHIR to CGM: 4929\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 60784, "style": "rule" }
{ "exact_answer": 60784, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"SYX\", \"id\": 0}, {\"name\": \"MAU\", \"id\": 1}, {\"name\": \"AQP\", \"id\": 2}, {\"name\": \"HNS\", \"id\": 3}, {\"name\": \"YFA\", \"id\": 4}, {\"name\": \"SCT\", \"id\": 5}, {\"name\": \"CIJ\", \"id\": 6}, {\"name\": \"HIR\", \"id\": 7}, {\"name\": \"CGM\", \"id\": 8}], \"links\": [{\"weight\": 2499, \"source\": 0, \"target\": 8}, {\"weight\": 20499, \"source\": 0, \"target\": 6}, {\"weight\": 19796, \"source\": 0, \"target\": 2}, {\"weight\": 7117, \"source\": 0, \"target\": 7}, {\"weight\": 7607, \"source\": 0, \"target\": 5}, {\"weight\": 12644, \"source\": 0, \"target\": 3}, {\"weight\": 13355, \"source\": 0, \"target\": 1}, {\"weight\": 14070, \"source\": 0, \"target\": 4}, {\"weight\": 11677, \"source\": 1, \"target\": 8}, {\"weight\": 10841, \"source\": 1, \"target\": 6}, {\"weight\": 10592, \"source\": 1, \"target\": 2}, {\"weight\": 6748, \"source\": 1, \"target\": 7}, {\"weight\": 19595, \"source\": 1, \"target\": 5}, {\"weight\": 10025, \"source\": 1, \"target\": 3}, {\"weight\": 11023, \"source\": 1, \"target\": 4}, {\"weight\": 19659, \"source\": 2, \"target\": 8}, {\"weight\": 973, \"source\": 2, \"target\": 6}, {\"weight\": 15458, \"source\": 2, \"target\": 7}, {\"weight\": 14774, \"source\": 2, \"target\": 5}, {\"weight\": 10379, \"source\": 2, \"target\": 3}, {\"weight\": 7957, \"source\": 2, \"target\": 4}, {\"weight\": 12647, \"source\": 3, \"target\": 8}, {\"weight\": 11229, \"source\": 3, \"target\": 6}, {\"weight\": 12700, \"source\": 3, \"target\": 7}, {\"weight\": 15371, \"source\": 3, \"target\": 5}, {\"weight\": 5107, \"source\": 3, \"target\": 4}, {\"weight\": 14175, \"source\": 4, \"target\": 8}, {\"weight\": 8419, \"source\": 4, \"target\": 6}, {\"weight\": 15034, \"source\": 4, \"target\": 7}, {\"weight\": 12843, \"source\": 4, \"target\": 5}, {\"weight\": 9448, \"source\": 5, \"target\": 8}, {\"weight\": 14939, \"source\": 5, \"target\": 6}, {\"weight\": 13983, \"source\": 5, \"target\": 7}, {\"weight\": 20093, \"source\": 6, \"target\": 8}, {\"weight\": 15707, \"source\": 6, \"target\": 7}, {\"weight\": 4929, \"source\": 7, \"target\": 8}]}", "id": 1377, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SYX, MAU, AQP, HNS, YFA, SCT, CIJ, HIR, CGM\n- Travel distances (in kilometers) between each pair of airports:\nSYX to CGM: 2499\nSYX to CIJ: 20499\nSYX to AQP: 19796\nSYX to HIR: 7117\nSYX to SCT: 7607\nSYX to HNS: 12644\nSYX to MAU: 13355\nSYX to YFA: 14070\nMAU to CGM: 11677\nMAU to CIJ: 10841\nMAU to AQP: 10592\nMAU to HIR: 6748\nMAU to SCT: 19595\nMAU to HNS: 10025\nMAU to YFA: 11023\nAQP to CGM: 19659\nAQP to CIJ: 973\nAQP to HIR: 15458\nAQP to SCT: 14774\nAQP to HNS: 10379\nAQP to YFA: 7957\nHNS to CGM: 12647\nHNS to CIJ: 11229\nHNS to HIR: 12700\nHNS to SCT: 15371\nHNS to YFA: 5107\nYFA to CGM: 14175\nYFA to CIJ: 8419\nYFA to HIR: 15034\nYFA to SCT: 12843\nSCT to CGM: 9448\nSCT to CIJ: 14939\nSCT to HIR: 13983\nCIJ to CGM: 20093\nCIJ to HIR: 15707\nHIR to CGM: 4929\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: RPR, TOB, OGL, LUZ, VPE, OSW, JSY, CEI, JER\n- Travel distances (in kilometers) between each pair of airports:\nRPR to TOB: 5885\nRPR to JSY: 6049\nRPR to JER: 7845\nRPR to CEI: 2821\nRPR to VPE: 9187\nRPR to LUZ: 7028\nRPR to OGL: 15114\nRPR to OSW: 6704\nTOB to JSY: 1605\nTOB to JER: 3171\nTOB to CEI: 8313\nTOB to VPE: 7498\nTOB to LUZ: 3263\nTOB to OGL: 10633\nTOB to OSW: 4884\nOGL to JSY: 9968\nOGL to JER: 7729\nOGL to CEI: 17007\nOGL to VPE: 12493\nOGL to LUZ: 9220\nOGL to OSW: 11438\nLUZ to JSY: 2450\nLUZ to JER: 1890\nLUZ to CEI: 8959\nLUZ to VPE: 8627\nLUZ to OSW: 3364\nVPE to JSY: 7368\nVPE to JER: 7811\nVPE to CEI: 11628\nVPE to OSW: 9917\nOSW to JSY: 3763\nOSW to JER: 4227\nOSW to CEI: 8708\nJSY to JER: 2538\nJSY to CEI: 8309\nCEI to JER: 9801\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 51165, "style": "rule" }
{ "exact_answer": 51165, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"RPR\", \"id\": 0}, {\"name\": \"TOB\", \"id\": 1}, {\"name\": \"OGL\", \"id\": 2}, {\"name\": \"LUZ\", \"id\": 3}, {\"name\": \"VPE\", \"id\": 4}, {\"name\": \"OSW\", \"id\": 5}, {\"name\": \"JSY\", \"id\": 6}, {\"name\": \"CEI\", \"id\": 7}, {\"name\": \"JER\", \"id\": 8}], \"links\": [{\"weight\": 5885, \"source\": 0, \"target\": 1}, {\"weight\": 6049, \"source\": 0, \"target\": 6}, {\"weight\": 7845, \"source\": 0, \"target\": 8}, {\"weight\": 2821, \"source\": 0, \"target\": 7}, {\"weight\": 9187, \"source\": 0, \"target\": 4}, {\"weight\": 7028, \"source\": 0, \"target\": 3}, {\"weight\": 15114, \"source\": 0, \"target\": 2}, {\"weight\": 6704, \"source\": 0, \"target\": 5}, {\"weight\": 1605, \"source\": 1, \"target\": 6}, {\"weight\": 3171, \"source\": 1, \"target\": 8}, {\"weight\": 8313, \"source\": 1, \"target\": 7}, {\"weight\": 7498, \"source\": 1, \"target\": 4}, {\"weight\": 3263, \"source\": 1, \"target\": 3}, {\"weight\": 10633, \"source\": 1, \"target\": 2}, {\"weight\": 4884, \"source\": 1, \"target\": 5}, {\"weight\": 9968, \"source\": 2, \"target\": 6}, {\"weight\": 7729, \"source\": 2, \"target\": 8}, {\"weight\": 17007, \"source\": 2, \"target\": 7}, {\"weight\": 12493, \"source\": 2, \"target\": 4}, {\"weight\": 9220, \"source\": 2, \"target\": 3}, {\"weight\": 11438, \"source\": 2, \"target\": 5}, {\"weight\": 2450, \"source\": 3, \"target\": 6}, {\"weight\": 1890, \"source\": 3, \"target\": 8}, {\"weight\": 8959, \"source\": 3, \"target\": 7}, {\"weight\": 8627, \"source\": 3, \"target\": 4}, {\"weight\": 3364, \"source\": 3, \"target\": 5}, {\"weight\": 7368, \"source\": 4, \"target\": 6}, {\"weight\": 7811, \"source\": 4, \"target\": 8}, {\"weight\": 11628, \"source\": 4, \"target\": 7}, {\"weight\": 9917, \"source\": 4, \"target\": 5}, {\"weight\": 3763, \"source\": 5, \"target\": 6}, {\"weight\": 4227, \"source\": 5, \"target\": 8}, {\"weight\": 8708, \"source\": 5, \"target\": 7}, {\"weight\": 2538, \"source\": 6, \"target\": 8}, {\"weight\": 8309, \"source\": 6, \"target\": 7}, {\"weight\": 9801, \"source\": 7, \"target\": 8}]}", "id": 1378, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: RPR, TOB, OGL, LUZ, VPE, OSW, JSY, CEI, JER\n- Travel distances (in kilometers) between each pair of airports:\nRPR to TOB: 5885\nRPR to JSY: 6049\nRPR to JER: 7845\nRPR to CEI: 2821\nRPR to VPE: 9187\nRPR to LUZ: 7028\nRPR to OGL: 15114\nRPR to OSW: 6704\nTOB to JSY: 1605\nTOB to JER: 3171\nTOB to CEI: 8313\nTOB to VPE: 7498\nTOB to LUZ: 3263\nTOB to OGL: 10633\nTOB to OSW: 4884\nOGL to JSY: 9968\nOGL to JER: 7729\nOGL to CEI: 17007\nOGL to VPE: 12493\nOGL to LUZ: 9220\nOGL to OSW: 11438\nLUZ to JSY: 2450\nLUZ to JER: 1890\nLUZ to CEI: 8959\nLUZ to VPE: 8627\nLUZ to OSW: 3364\nVPE to JSY: 7368\nVPE to JER: 7811\nVPE to CEI: 11628\nVPE to OSW: 9917\nOSW to JSY: 3763\nOSW to JER: 4227\nOSW to CEI: 8708\nJSY to JER: 2538\nJSY to CEI: 8309\nCEI to JER: 9801\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PSE, YAM, PVA, PMV, AYT, YOL, EYW, SZZ, GNV\n- Travel distances (in kilometers) between each pair of airports:\nPSE to EYW: 2330\nPSE to GNV: 2065\nPSE to AYT: 11082\nPSE to PVA: 4617\nPSE to PMV: 4719\nPSE to YAM: 3691\nPSE to SZZ: 9106\nPSE to YOL: 12131\nYAM to EYW: 2628\nYAM to GNV: 2067\nYAM to AYT: 9133\nYAM to PVA: 4901\nYAM to PMV: 4675\nYAM to SZZ: 7072\nYAM to YOL: 10409\nPVA to EYW: 2621\nPVA to GNV: 2878\nPVA to AYT: 11730\nPVA to PMV: 2259\nPVA to SZZ: 10419\nPVA to YOL: 12237\nPMV to EYW: 2714\nPMV to GNV: 2988\nPMV to AYT: 10062\nPMV to SZZ: 8698\nPMV to YOL: 10154\nAYT to EYW: 10210\nAYT to GNV: 9967\nAYT to SZZ: 2299\nAYT to YOL: 5221\nYOL to EYW: 11228\nYOL to GNV: 10956\nYOL to SZZ: 6462\nEYW to GNV: 579\nEYW to SZZ: 8369\nSZZ to GNV: 7992\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 35961, "style": "rule" }
{ "exact_answer": 35961, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"PSE\", \"id\": 0}, {\"name\": \"YAM\", \"id\": 1}, {\"name\": \"PVA\", \"id\": 2}, {\"name\": \"PMV\", \"id\": 3}, {\"name\": \"AYT\", \"id\": 4}, {\"name\": \"YOL\", \"id\": 5}, {\"name\": \"EYW\", \"id\": 6}, {\"name\": \"SZZ\", \"id\": 7}, {\"name\": \"GNV\", \"id\": 8}], \"links\": [{\"weight\": 2330, \"source\": 0, \"target\": 6}, {\"weight\": 2065, \"source\": 0, \"target\": 8}, {\"weight\": 11082, \"source\": 0, \"target\": 4}, {\"weight\": 4617, \"source\": 0, \"target\": 2}, {\"weight\": 4719, \"source\": 0, \"target\": 3}, {\"weight\": 3691, \"source\": 0, \"target\": 1}, {\"weight\": 9106, \"source\": 0, \"target\": 7}, {\"weight\": 12131, \"source\": 0, \"target\": 5}, {\"weight\": 2628, \"source\": 1, \"target\": 6}, {\"weight\": 2067, \"source\": 1, \"target\": 8}, {\"weight\": 9133, \"source\": 1, \"target\": 4}, {\"weight\": 4901, \"source\": 1, \"target\": 2}, {\"weight\": 4675, \"source\": 1, \"target\": 3}, {\"weight\": 7072, \"source\": 1, \"target\": 7}, {\"weight\": 10409, \"source\": 1, \"target\": 5}, {\"weight\": 2621, \"source\": 2, \"target\": 6}, {\"weight\": 2878, \"source\": 2, \"target\": 8}, {\"weight\": 11730, \"source\": 2, \"target\": 4}, {\"weight\": 2259, \"source\": 2, \"target\": 3}, {\"weight\": 10419, \"source\": 2, \"target\": 7}, {\"weight\": 12237, \"source\": 2, \"target\": 5}, {\"weight\": 2714, \"source\": 3, \"target\": 6}, {\"weight\": 2988, \"source\": 3, \"target\": 8}, {\"weight\": 10062, \"source\": 3, \"target\": 4}, {\"weight\": 8698, \"source\": 3, \"target\": 7}, {\"weight\": 10154, \"source\": 3, \"target\": 5}, {\"weight\": 10210, \"source\": 4, \"target\": 6}, {\"weight\": 9967, \"source\": 4, \"target\": 8}, {\"weight\": 2299, \"source\": 4, \"target\": 7}, {\"weight\": 5221, \"source\": 4, \"target\": 5}, {\"weight\": 11228, \"source\": 5, \"target\": 6}, {\"weight\": 10956, \"source\": 5, \"target\": 8}, {\"weight\": 6462, \"source\": 5, \"target\": 7}, {\"weight\": 579, \"source\": 6, \"target\": 8}, {\"weight\": 8369, \"source\": 6, \"target\": 7}, {\"weight\": 7992, \"source\": 7, \"target\": 8}]}", "id": 1379, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PSE, YAM, PVA, PMV, AYT, YOL, EYW, SZZ, GNV\n- Travel distances (in kilometers) between each pair of airports:\nPSE to EYW: 2330\nPSE to GNV: 2065\nPSE to AYT: 11082\nPSE to PVA: 4617\nPSE to PMV: 4719\nPSE to YAM: 3691\nPSE to SZZ: 9106\nPSE to YOL: 12131\nYAM to EYW: 2628\nYAM to GNV: 2067\nYAM to AYT: 9133\nYAM to PVA: 4901\nYAM to PMV: 4675\nYAM to SZZ: 7072\nYAM to YOL: 10409\nPVA to EYW: 2621\nPVA to GNV: 2878\nPVA to AYT: 11730\nPVA to PMV: 2259\nPVA to SZZ: 10419\nPVA to YOL: 12237\nPMV to EYW: 2714\nPMV to GNV: 2988\nPMV to AYT: 10062\nPMV to SZZ: 8698\nPMV to YOL: 10154\nAYT to EYW: 10210\nAYT to GNV: 9967\nAYT to SZZ: 2299\nAYT to YOL: 5221\nYOL to EYW: 11228\nYOL to GNV: 10956\nYOL to SZZ: 6462\nEYW to GNV: 579\nEYW to SZZ: 8369\nSZZ to GNV: 7992\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BNE, SUR, SJL, ADQ, GRV, WTL, XFN, YUD, CEM\n- Travel distances (in kilometers) between each pair of airports:\nBNE to ADQ: 12432\nBNE to YUD: 15335\nBNE to CEM: 12610\nBNE to WTL: 12732\nBNE to GRV: 15510\nBNE to SJL: 18215\nBNE to XFN: 7933\nBNE to SUR: 14527\nSUR to ADQ: 5406\nSUR to YUD: 2259\nSUR to CEM: 5302\nSUR to WTL: 5706\nSUR to GRV: 10555\nSUR to SJL: 8300\nSUR to XFN: 12075\nSJL to ADQ: 11699\nSJL to YUD: 8051\nSJL to CEM: 11840\nSJL to WTL: 11999\nSJL to GRV: 13807\nSJL to XFN: 18167\nADQ to YUD: 6214\nADQ to CEM: 990\nADQ to WTL: 1112\nADQ to GRV: 13377\nADQ to XFN: 12371\nGRV to YUD: 10364\nGRV to CEM: 13273\nGRV to WTL: 13677\nGRV to XFN: 8200\nWTL to YUD: 6514\nWTL to CEM: 1290\nWTL to XFN: 12671\nXFN to YUD: 12883\nXFN to CEM: 12267\nYUD to CEM: 6110\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 60386, "style": "rule" }
{ "exact_answer": 60386, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"BNE\", \"id\": 0}, {\"name\": \"SUR\", \"id\": 1}, {\"name\": \"SJL\", \"id\": 2}, {\"name\": \"ADQ\", \"id\": 3}, {\"name\": \"GRV\", \"id\": 4}, {\"name\": \"WTL\", \"id\": 5}, {\"name\": \"XFN\", \"id\": 6}, {\"name\": \"YUD\", \"id\": 7}, {\"name\": \"CEM\", \"id\": 8}], \"links\": [{\"weight\": 12432, \"source\": 0, \"target\": 3}, {\"weight\": 15335, \"source\": 0, \"target\": 7}, {\"weight\": 12610, \"source\": 0, \"target\": 8}, {\"weight\": 12732, \"source\": 0, \"target\": 5}, {\"weight\": 15510, \"source\": 0, \"target\": 4}, {\"weight\": 18215, \"source\": 0, \"target\": 2}, {\"weight\": 7933, \"source\": 0, \"target\": 6}, {\"weight\": 14527, \"source\": 0, \"target\": 1}, {\"weight\": 5406, \"source\": 1, \"target\": 3}, {\"weight\": 2259, \"source\": 1, \"target\": 7}, {\"weight\": 5302, \"source\": 1, \"target\": 8}, {\"weight\": 5706, \"source\": 1, \"target\": 5}, {\"weight\": 10555, \"source\": 1, \"target\": 4}, {\"weight\": 8300, \"source\": 1, \"target\": 2}, {\"weight\": 12075, \"source\": 1, \"target\": 6}, {\"weight\": 11699, \"source\": 2, \"target\": 3}, {\"weight\": 8051, \"source\": 2, \"target\": 7}, {\"weight\": 11840, \"source\": 2, \"target\": 8}, {\"weight\": 11999, \"source\": 2, \"target\": 5}, {\"weight\": 13807, \"source\": 2, \"target\": 4}, {\"weight\": 18167, \"source\": 2, \"target\": 6}, {\"weight\": 6214, \"source\": 3, \"target\": 7}, {\"weight\": 990, \"source\": 3, \"target\": 8}, {\"weight\": 1112, \"source\": 3, \"target\": 5}, {\"weight\": 13377, \"source\": 3, \"target\": 4}, {\"weight\": 12371, \"source\": 3, \"target\": 6}, {\"weight\": 10364, \"source\": 4, \"target\": 7}, {\"weight\": 13273, \"source\": 4, \"target\": 8}, {\"weight\": 13677, \"source\": 4, \"target\": 5}, {\"weight\": 8200, \"source\": 4, \"target\": 6}, {\"weight\": 6514, \"source\": 5, \"target\": 7}, {\"weight\": 1290, \"source\": 5, \"target\": 8}, {\"weight\": 12671, \"source\": 5, \"target\": 6}, {\"weight\": 12883, \"source\": 6, \"target\": 7}, {\"weight\": 12267, \"source\": 6, \"target\": 8}, {\"weight\": 6110, \"source\": 7, \"target\": 8}]}", "id": 1380, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BNE, SUR, SJL, ADQ, GRV, WTL, XFN, YUD, CEM\n- Travel distances (in kilometers) between each pair of airports:\nBNE to ADQ: 12432\nBNE to YUD: 15335\nBNE to CEM: 12610\nBNE to WTL: 12732\nBNE to GRV: 15510\nBNE to SJL: 18215\nBNE to XFN: 7933\nBNE to SUR: 14527\nSUR to ADQ: 5406\nSUR to YUD: 2259\nSUR to CEM: 5302\nSUR to WTL: 5706\nSUR to GRV: 10555\nSUR to SJL: 8300\nSUR to XFN: 12075\nSJL to ADQ: 11699\nSJL to YUD: 8051\nSJL to CEM: 11840\nSJL to WTL: 11999\nSJL to GRV: 13807\nSJL to XFN: 18167\nADQ to YUD: 6214\nADQ to CEM: 990\nADQ to WTL: 1112\nADQ to GRV: 13377\nADQ to XFN: 12371\nGRV to YUD: 10364\nGRV to CEM: 13273\nGRV to WTL: 13677\nGRV to XFN: 8200\nWTL to YUD: 6514\nWTL to CEM: 1290\nWTL to XFN: 12671\nXFN to YUD: 12883\nXFN to CEM: 12267\nYUD to CEM: 6110\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: EMK, JMU, LGA, XRY, LWB, IAG, SOY, NMA, JIK\n- Travel distances (in kilometers) between each pair of airports:\nEMK to LWB: 6619\nEMK to NMA: 15223\nEMK to XRY: 12029\nEMK to LGA: 6516\nEMK to JIK: 13367\nEMK to JMU: 12168\nEMK to IAG: 7664\nEMK to SOY: 10700\nJMU to LWB: 12713\nJMU to NMA: 5179\nJMU to XRY: 10127\nJMU to LGA: 12447\nJMU to JIK: 8482\nJMU to IAG: 13894\nJMU to SOY: 8625\nLGA to LWB: 650\nLGA to NMA: 10421\nLGA to XRY: 5812\nLGA to JIK: 8150\nLGA to IAG: 1954\nLGA to SOY: 5775\nXRY to LWB: 6442\nXRY to NMA: 6535\nXRY to JIK: 2966\nXRY to IAG: 7751\nXRY to SOY: 2549\nLWB to NMA: 11028\nLWB to JIK: 8791\nLWB to IAG: 2099\nLWB to SOY: 6186\nIAG to NMA: 12360\nIAG to JIK: 10089\nIAG to SOY: 7496\nSOY to NMA: 5595\nSOY to JIK: 3299\nNMA to JIK: 4289\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 43339, "style": "rule" }
{ "exact_answer": 43339, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"EMK\", \"id\": 0}, {\"name\": \"JMU\", \"id\": 1}, {\"name\": \"LGA\", \"id\": 2}, {\"name\": \"XRY\", \"id\": 3}, {\"name\": \"LWB\", \"id\": 4}, {\"name\": \"IAG\", \"id\": 5}, {\"name\": \"SOY\", \"id\": 6}, {\"name\": \"NMA\", \"id\": 7}, {\"name\": \"JIK\", \"id\": 8}], \"links\": [{\"weight\": 6619, \"source\": 0, \"target\": 4}, {\"weight\": 15223, \"source\": 0, \"target\": 7}, {\"weight\": 12029, \"source\": 0, \"target\": 3}, {\"weight\": 6516, \"source\": 0, \"target\": 2}, {\"weight\": 13367, \"source\": 0, \"target\": 8}, {\"weight\": 12168, \"source\": 0, \"target\": 1}, {\"weight\": 7664, \"source\": 0, \"target\": 5}, {\"weight\": 10700, \"source\": 0, \"target\": 6}, {\"weight\": 12713, \"source\": 1, \"target\": 4}, {\"weight\": 5179, \"source\": 1, \"target\": 7}, {\"weight\": 10127, \"source\": 1, \"target\": 3}, {\"weight\": 12447, \"source\": 1, \"target\": 2}, {\"weight\": 8482, \"source\": 1, \"target\": 8}, {\"weight\": 13894, \"source\": 1, \"target\": 5}, {\"weight\": 8625, \"source\": 1, \"target\": 6}, {\"weight\": 650, \"source\": 2, \"target\": 4}, {\"weight\": 10421, \"source\": 2, \"target\": 7}, {\"weight\": 5812, \"source\": 2, \"target\": 3}, {\"weight\": 8150, \"source\": 2, \"target\": 8}, {\"weight\": 1954, \"source\": 2, \"target\": 5}, {\"weight\": 5775, \"source\": 2, \"target\": 6}, {\"weight\": 6442, \"source\": 3, \"target\": 4}, {\"weight\": 6535, \"source\": 3, \"target\": 7}, {\"weight\": 2966, \"source\": 3, \"target\": 8}, {\"weight\": 7751, \"source\": 3, \"target\": 5}, {\"weight\": 2549, \"source\": 3, \"target\": 6}, {\"weight\": 11028, \"source\": 4, \"target\": 7}, {\"weight\": 8791, \"source\": 4, \"target\": 8}, {\"weight\": 2099, \"source\": 4, \"target\": 5}, {\"weight\": 6186, \"source\": 4, \"target\": 6}, {\"weight\": 12360, \"source\": 5, \"target\": 7}, {\"weight\": 10089, \"source\": 5, \"target\": 8}, {\"weight\": 7496, \"source\": 5, \"target\": 6}, {\"weight\": 5595, \"source\": 6, \"target\": 7}, {\"weight\": 3299, \"source\": 6, \"target\": 8}, {\"weight\": 4289, \"source\": 7, \"target\": 8}]}", "id": 1381, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: EMK, JMU, LGA, XRY, LWB, IAG, SOY, NMA, JIK\n- Travel distances (in kilometers) between each pair of airports:\nEMK to LWB: 6619\nEMK to NMA: 15223\nEMK to XRY: 12029\nEMK to LGA: 6516\nEMK to JIK: 13367\nEMK to JMU: 12168\nEMK to IAG: 7664\nEMK to SOY: 10700\nJMU to LWB: 12713\nJMU to NMA: 5179\nJMU to XRY: 10127\nJMU to LGA: 12447\nJMU to JIK: 8482\nJMU to IAG: 13894\nJMU to SOY: 8625\nLGA to LWB: 650\nLGA to NMA: 10421\nLGA to XRY: 5812\nLGA to JIK: 8150\nLGA to IAG: 1954\nLGA to SOY: 5775\nXRY to LWB: 6442\nXRY to NMA: 6535\nXRY to JIK: 2966\nXRY to IAG: 7751\nXRY to SOY: 2549\nLWB to NMA: 11028\nLWB to JIK: 8791\nLWB to IAG: 2099\nLWB to SOY: 6186\nIAG to NMA: 12360\nIAG to JIK: 10089\nIAG to SOY: 7496\nSOY to NMA: 5595\nSOY to JIK: 3299\nNMA to JIK: 4289\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: UGC, KKR, GRB, YRL, NJC, UUD, KSQ, RAB, BGR\n- Travel distances (in kilometers) between each pair of airports:\nUGC to NJC: 2962\nUGC to KSQ: 1125\nUGC to BGR: 10413\nUGC to GRB: 10609\nUGC to RAB: 11377\nUGC to UUD: 3838\nUGC to YRL: 11155\nUGC to KKR: 16564\nKKR to NJC: 15385\nKKR to KSQ: 16249\nKKR to BGR: 11350\nKKR to GRB: 9840\nKKR to RAB: 9010\nKKR to UUD: 12969\nKKR to YRL: 9731\nGRB to NJC: 10512\nGRB to KSQ: 11120\nGRB to BGR: 1665\nGRB to RAB: 15836\nGRB to UUD: 12322\nGRB to YRL: 1314\nYRL to NJC: 11058\nYRL to KSQ: 11666\nYRL to BGR: 2531\nYRL to RAB: 15291\nYRL to UUD: 12111\nNJC to KSQ: 2647\nNJC to BGR: 10316\nNJC to RAB: 11081\nNJC to UUD: 2423\nUUD to KSQ: 3523\nUUD to BGR: 12162\nUUD to RAB: 9047\nKSQ to BGR: 10924\nKSQ to RAB: 11062\nRAB to BGR: 17356\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 47375, "style": "rule" }
{ "exact_answer": 47375, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"UGC\", \"id\": 0}, {\"name\": \"KKR\", \"id\": 1}, {\"name\": \"GRB\", \"id\": 2}, {\"name\": \"YRL\", \"id\": 3}, {\"name\": \"NJC\", \"id\": 4}, {\"name\": \"UUD\", \"id\": 5}, {\"name\": \"KSQ\", \"id\": 6}, {\"name\": \"RAB\", \"id\": 7}, {\"name\": \"BGR\", \"id\": 8}], \"links\": [{\"weight\": 2962, \"source\": 0, \"target\": 4}, {\"weight\": 1125, \"source\": 0, \"target\": 6}, {\"weight\": 10413, \"source\": 0, \"target\": 8}, {\"weight\": 10609, \"source\": 0, \"target\": 2}, {\"weight\": 11377, \"source\": 0, \"target\": 7}, {\"weight\": 3838, \"source\": 0, \"target\": 5}, {\"weight\": 11155, \"source\": 0, \"target\": 3}, {\"weight\": 16564, \"source\": 0, \"target\": 1}, {\"weight\": 15385, \"source\": 1, \"target\": 4}, {\"weight\": 16249, \"source\": 1, \"target\": 6}, {\"weight\": 11350, \"source\": 1, \"target\": 8}, {\"weight\": 9840, \"source\": 1, \"target\": 2}, {\"weight\": 9010, \"source\": 1, \"target\": 7}, {\"weight\": 12969, \"source\": 1, \"target\": 5}, {\"weight\": 9731, \"source\": 1, \"target\": 3}, {\"weight\": 10512, \"source\": 2, \"target\": 4}, {\"weight\": 11120, \"source\": 2, \"target\": 6}, {\"weight\": 1665, \"source\": 2, \"target\": 8}, {\"weight\": 15836, \"source\": 2, \"target\": 7}, {\"weight\": 12322, \"source\": 2, \"target\": 5}, {\"weight\": 1314, \"source\": 2, \"target\": 3}, {\"weight\": 11058, \"source\": 3, \"target\": 4}, {\"weight\": 11666, \"source\": 3, \"target\": 6}, {\"weight\": 2531, \"source\": 3, \"target\": 8}, {\"weight\": 15291, \"source\": 3, \"target\": 7}, {\"weight\": 12111, \"source\": 3, \"target\": 5}, {\"weight\": 2647, \"source\": 4, \"target\": 6}, {\"weight\": 10316, \"source\": 4, \"target\": 8}, {\"weight\": 11081, \"source\": 4, \"target\": 7}, {\"weight\": 2423, \"source\": 4, \"target\": 5}, {\"weight\": 3523, \"source\": 5, \"target\": 6}, {\"weight\": 12162, \"source\": 5, \"target\": 8}, {\"weight\": 9047, \"source\": 5, \"target\": 7}, {\"weight\": 10924, \"source\": 6, \"target\": 8}, {\"weight\": 11062, \"source\": 6, \"target\": 7}, {\"weight\": 17356, \"source\": 7, \"target\": 8}]}", "id": 1382, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: UGC, KKR, GRB, YRL, NJC, UUD, KSQ, RAB, BGR\n- Travel distances (in kilometers) between each pair of airports:\nUGC to NJC: 2962\nUGC to KSQ: 1125\nUGC to BGR: 10413\nUGC to GRB: 10609\nUGC to RAB: 11377\nUGC to UUD: 3838\nUGC to YRL: 11155\nUGC to KKR: 16564\nKKR to NJC: 15385\nKKR to KSQ: 16249\nKKR to BGR: 11350\nKKR to GRB: 9840\nKKR to RAB: 9010\nKKR to UUD: 12969\nKKR to YRL: 9731\nGRB to NJC: 10512\nGRB to KSQ: 11120\nGRB to BGR: 1665\nGRB to RAB: 15836\nGRB to UUD: 12322\nGRB to YRL: 1314\nYRL to NJC: 11058\nYRL to KSQ: 11666\nYRL to BGR: 2531\nYRL to RAB: 15291\nYRL to UUD: 12111\nNJC to KSQ: 2647\nNJC to BGR: 10316\nNJC to RAB: 11081\nNJC to UUD: 2423\nUUD to KSQ: 3523\nUUD to BGR: 12162\nUUD to RAB: 9047\nKSQ to BGR: 10924\nKSQ to RAB: 11062\nRAB to BGR: 17356\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: HIB, LIR, CTM, MEM, PRN, PSA, ZYL, FUJ, CUQ\n- Travel distances (in kilometers) between each pair of airports:\nHIB to ZYL: 14455\nHIB to CTM: 4295\nHIB to PRN: 8591\nHIB to PSA: 7908\nHIB to LIR: 4303\nHIB to MEM: 1408\nHIB to FUJ: 10947\nHIB to CUQ: 16066\nLIR to ZYL: 16904\nLIR to CTM: 2888\nLIR to PRN: 10730\nLIR to PSA: 9864\nLIR to MEM: 3096\nLIR to FUJ: 14062\nLIR to CUQ: 17601\nCTM to ZYL: 17133\nCTM to PRN: 11926\nCTM to PSA: 11163\nCTM to MEM: 3119\nCTM to FUJ: 13479\nCTM to CUQ: 17005\nMEM to ZYL: 14430\nMEM to PRN: 8911\nMEM to PSA: 8177\nMEM to FUJ: 11790\nMEM to CUQ: 15896\nPRN to ZYL: 6814\nPRN to PSA: 1416\nPRN to FUJ: 9282\nPRN to CUQ: 14682\nPSA to ZYL: 7713\nPSA to FUJ: 9630\nPSA to CUQ: 15499\nZYL to FUJ: 4329\nZYL to CUQ: 8554\nFUJ to CUQ: 6672\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 51536, "style": "rule" }
{ "exact_answer": 51536, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"HIB\", \"id\": 0}, {\"name\": \"LIR\", \"id\": 1}, {\"name\": \"CTM\", \"id\": 2}, {\"name\": \"MEM\", \"id\": 3}, {\"name\": \"PRN\", \"id\": 4}, {\"name\": \"PSA\", \"id\": 5}, {\"name\": \"ZYL\", \"id\": 6}, {\"name\": \"FUJ\", \"id\": 7}, {\"name\": \"CUQ\", \"id\": 8}], \"links\": [{\"weight\": 14455, \"source\": 0, \"target\": 6}, {\"weight\": 4295, \"source\": 0, \"target\": 2}, {\"weight\": 8591, \"source\": 0, \"target\": 4}, {\"weight\": 7908, \"source\": 0, \"target\": 5}, {\"weight\": 4303, \"source\": 0, \"target\": 1}, {\"weight\": 1408, \"source\": 0, \"target\": 3}, {\"weight\": 10947, \"source\": 0, \"target\": 7}, {\"weight\": 16066, \"source\": 0, \"target\": 8}, {\"weight\": 16904, \"source\": 1, \"target\": 6}, {\"weight\": 2888, \"source\": 1, \"target\": 2}, {\"weight\": 10730, \"source\": 1, \"target\": 4}, {\"weight\": 9864, \"source\": 1, \"target\": 5}, {\"weight\": 3096, \"source\": 1, \"target\": 3}, {\"weight\": 14062, \"source\": 1, \"target\": 7}, {\"weight\": 17601, \"source\": 1, \"target\": 8}, {\"weight\": 17133, \"source\": 2, \"target\": 6}, {\"weight\": 11926, \"source\": 2, \"target\": 4}, {\"weight\": 11163, \"source\": 2, \"target\": 5}, {\"weight\": 3119, \"source\": 2, \"target\": 3}, {\"weight\": 13479, \"source\": 2, \"target\": 7}, {\"weight\": 17005, \"source\": 2, \"target\": 8}, {\"weight\": 14430, \"source\": 3, \"target\": 6}, {\"weight\": 8911, \"source\": 3, \"target\": 4}, {\"weight\": 8177, \"source\": 3, \"target\": 5}, {\"weight\": 11790, \"source\": 3, \"target\": 7}, {\"weight\": 15896, \"source\": 3, \"target\": 8}, {\"weight\": 6814, \"source\": 4, \"target\": 6}, {\"weight\": 1416, \"source\": 4, \"target\": 5}, {\"weight\": 9282, \"source\": 4, \"target\": 7}, {\"weight\": 14682, \"source\": 4, \"target\": 8}, {\"weight\": 7713, \"source\": 5, \"target\": 6}, {\"weight\": 9630, \"source\": 5, \"target\": 7}, {\"weight\": 15499, \"source\": 5, \"target\": 8}, {\"weight\": 4329, \"source\": 6, \"target\": 7}, {\"weight\": 8554, \"source\": 6, \"target\": 8}, {\"weight\": 6672, \"source\": 7, \"target\": 8}]}", "id": 1383, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: HIB, LIR, CTM, MEM, PRN, PSA, ZYL, FUJ, CUQ\n- Travel distances (in kilometers) between each pair of airports:\nHIB to ZYL: 14455\nHIB to CTM: 4295\nHIB to PRN: 8591\nHIB to PSA: 7908\nHIB to LIR: 4303\nHIB to MEM: 1408\nHIB to FUJ: 10947\nHIB to CUQ: 16066\nLIR to ZYL: 16904\nLIR to CTM: 2888\nLIR to PRN: 10730\nLIR to PSA: 9864\nLIR to MEM: 3096\nLIR to FUJ: 14062\nLIR to CUQ: 17601\nCTM to ZYL: 17133\nCTM to PRN: 11926\nCTM to PSA: 11163\nCTM to MEM: 3119\nCTM to FUJ: 13479\nCTM to CUQ: 17005\nMEM to ZYL: 14430\nMEM to PRN: 8911\nMEM to PSA: 8177\nMEM to FUJ: 11790\nMEM to CUQ: 15896\nPRN to ZYL: 6814\nPRN to PSA: 1416\nPRN to FUJ: 9282\nPRN to CUQ: 14682\nPSA to ZYL: 7713\nPSA to FUJ: 9630\nPSA to CUQ: 15499\nZYL to FUJ: 4329\nZYL to CUQ: 8554\nFUJ to CUQ: 6672\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: MNA, MFM, LOD, KZB, RTW, GPT, BFV, CBR, MYA\n- Travel distances (in kilometers) between each pair of airports:\nMNA to KZB: 16805\nMNA to MFM: 4464\nMNA to RTW: 10997\nMNA to CBR: 6644\nMNA to GPT: 17482\nMNA to BFV: 4425\nMNA to LOD: 8391\nMNA to MYA: 6774\nMFM to KZB: 13301\nMFM to RTW: 7170\nMFM to CBR: 7654\nMFM to GPT: 13891\nMFM to BFV: 1967\nMFM to LOD: 8042\nMFM to MYA: 7655\nLOD to KZB: 11316\nLOD to RTW: 14970\nLOD to CBR: 2988\nLOD to GPT: 12912\nLOD to BFV: 9415\nLOD to MYA: 2989\nKZB to RTW: 12704\nKZB to CBR: 13381\nKZB to GPT: 6199\nKZB to BFV: 15137\nKZB to MYA: 13382\nRTW to CBR: 14578\nRTW to GPT: 9984\nRTW to BFV: 7587\nRTW to MYA: 14579\nGPT to CBR: 14847\nGPT to BFV: 15735\nGPT to MYA: 14848\nBFV to CBR: 8036\nBFV to MYA: 8142\nCBR to MYA: 473\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 51167, "style": "rule" }
{ "exact_answer": 51167, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"MNA\", \"id\": 0}, {\"name\": \"MFM\", \"id\": 1}, {\"name\": \"LOD\", \"id\": 2}, {\"name\": \"KZB\", \"id\": 3}, {\"name\": \"RTW\", \"id\": 4}, {\"name\": \"GPT\", \"id\": 5}, {\"name\": \"BFV\", \"id\": 6}, {\"name\": \"CBR\", \"id\": 7}, {\"name\": \"MYA\", \"id\": 8}], \"links\": [{\"weight\": 16805, \"source\": 0, \"target\": 3}, {\"weight\": 4464, \"source\": 0, \"target\": 1}, {\"weight\": 10997, \"source\": 0, \"target\": 4}, {\"weight\": 6644, \"source\": 0, \"target\": 7}, {\"weight\": 17482, \"source\": 0, \"target\": 5}, {\"weight\": 4425, \"source\": 0, \"target\": 6}, {\"weight\": 8391, \"source\": 0, \"target\": 2}, {\"weight\": 6774, \"source\": 0, \"target\": 8}, {\"weight\": 13301, \"source\": 1, \"target\": 3}, {\"weight\": 7170, \"source\": 1, \"target\": 4}, {\"weight\": 7654, \"source\": 1, \"target\": 7}, {\"weight\": 13891, \"source\": 1, \"target\": 5}, {\"weight\": 1967, \"source\": 1, \"target\": 6}, {\"weight\": 8042, \"source\": 1, \"target\": 2}, {\"weight\": 7655, \"source\": 1, \"target\": 8}, {\"weight\": 11316, \"source\": 2, \"target\": 3}, {\"weight\": 14970, \"source\": 2, \"target\": 4}, {\"weight\": 2988, \"source\": 2, \"target\": 7}, {\"weight\": 12912, \"source\": 2, \"target\": 5}, {\"weight\": 9415, \"source\": 2, \"target\": 6}, {\"weight\": 2989, \"source\": 2, \"target\": 8}, {\"weight\": 12704, \"source\": 3, \"target\": 4}, {\"weight\": 13381, \"source\": 3, \"target\": 7}, {\"weight\": 6199, \"source\": 3, \"target\": 5}, {\"weight\": 15137, \"source\": 3, \"target\": 6}, {\"weight\": 13382, \"source\": 3, \"target\": 8}, {\"weight\": 14578, \"source\": 4, \"target\": 7}, {\"weight\": 9984, \"source\": 4, \"target\": 5}, {\"weight\": 7587, \"source\": 4, \"target\": 6}, {\"weight\": 14579, \"source\": 4, \"target\": 8}, {\"weight\": 14847, \"source\": 5, \"target\": 7}, {\"weight\": 15735, \"source\": 5, \"target\": 6}, {\"weight\": 14848, \"source\": 5, \"target\": 8}, {\"weight\": 8036, \"source\": 6, \"target\": 7}, {\"weight\": 8142, \"source\": 6, \"target\": 8}, {\"weight\": 473, \"source\": 7, \"target\": 8}]}", "id": 1384, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: MNA, MFM, LOD, KZB, RTW, GPT, BFV, CBR, MYA\n- Travel distances (in kilometers) between each pair of airports:\nMNA to KZB: 16805\nMNA to MFM: 4464\nMNA to RTW: 10997\nMNA to CBR: 6644\nMNA to GPT: 17482\nMNA to BFV: 4425\nMNA to LOD: 8391\nMNA to MYA: 6774\nMFM to KZB: 13301\nMFM to RTW: 7170\nMFM to CBR: 7654\nMFM to GPT: 13891\nMFM to BFV: 1967\nMFM to LOD: 8042\nMFM to MYA: 7655\nLOD to KZB: 11316\nLOD to RTW: 14970\nLOD to CBR: 2988\nLOD to GPT: 12912\nLOD to BFV: 9415\nLOD to MYA: 2989\nKZB to RTW: 12704\nKZB to CBR: 13381\nKZB to GPT: 6199\nKZB to BFV: 15137\nKZB to MYA: 13382\nRTW to CBR: 14578\nRTW to GPT: 9984\nRTW to BFV: 7587\nRTW to MYA: 14579\nGPT to CBR: 14847\nGPT to BFV: 15735\nGPT to MYA: 14848\nBFV to CBR: 8036\nBFV to MYA: 8142\nCBR to MYA: 473\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: OZC, MLO, CXR, STC, OKC, MBA, CCM, SDF, LAN\n- Travel distances (in kilometers) between each pair of airports:\nOZC to MBA: 10600\nOZC to LAN: 13797\nOZC to MLO: 10618\nOZC to SDF: 14038\nOZC to OKC: 13603\nOZC to CCM: 19411\nOZC to CXR: 2694\nOZC to STC: 14221\nMLO to MBA: 5173\nMLO to LAN: 8731\nMLO to SDF: 9071\nMLO to OKC: 10028\nMLO to CCM: 11273\nMLO to CXR: 9119\nMLO to STC: 9547\nCXR to MBA: 8679\nCXR to LAN: 14058\nCXR to SDF: 14315\nCXR to OKC: 14199\nCXR to CCM: 17976\nCXR to STC: 14487\nSTC to MBA: 14213\nSTC to LAN: 919\nSTC to SDF: 1094\nSTC to OKC: 1747\nSTC to CCM: 9562\nOKC to MBA: 14694\nOKC to LAN: 1400\nOKC to SDF: 1459\nOKC to CCM: 9050\nMBA to LAN: 13394\nMBA to SDF: 13704\nMBA to CCM: 10278\nCCM to LAN: 8930\nCCM to SDF: 8468\nSDF to LAN: 611\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 52612, "style": "rule" }
{ "exact_answer": 52612, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"OZC\", \"id\": 0}, {\"name\": \"MLO\", \"id\": 1}, {\"name\": \"CXR\", \"id\": 2}, {\"name\": \"STC\", \"id\": 3}, {\"name\": \"OKC\", \"id\": 4}, {\"name\": \"MBA\", \"id\": 5}, {\"name\": \"CCM\", \"id\": 6}, {\"name\": \"SDF\", \"id\": 7}, {\"name\": \"LAN\", \"id\": 8}], \"links\": [{\"weight\": 10600, \"source\": 0, \"target\": 5}, {\"weight\": 13797, \"source\": 0, \"target\": 8}, {\"weight\": 10618, \"source\": 0, \"target\": 1}, {\"weight\": 14038, \"source\": 0, \"target\": 7}, {\"weight\": 13603, \"source\": 0, \"target\": 4}, {\"weight\": 19411, \"source\": 0, \"target\": 6}, {\"weight\": 2694, \"source\": 0, \"target\": 2}, {\"weight\": 14221, \"source\": 0, \"target\": 3}, {\"weight\": 5173, \"source\": 1, \"target\": 5}, {\"weight\": 8731, \"source\": 1, \"target\": 8}, {\"weight\": 9071, \"source\": 1, \"target\": 7}, {\"weight\": 10028, \"source\": 1, \"target\": 4}, {\"weight\": 11273, \"source\": 1, \"target\": 6}, {\"weight\": 9119, \"source\": 1, \"target\": 2}, {\"weight\": 9547, \"source\": 1, \"target\": 3}, {\"weight\": 8679, \"source\": 2, \"target\": 5}, {\"weight\": 14058, \"source\": 2, \"target\": 8}, {\"weight\": 14315, \"source\": 2, \"target\": 7}, {\"weight\": 14199, \"source\": 2, \"target\": 4}, {\"weight\": 17976, \"source\": 2, \"target\": 6}, {\"weight\": 14487, \"source\": 2, \"target\": 3}, {\"weight\": 14213, \"source\": 3, \"target\": 5}, {\"weight\": 919, \"source\": 3, \"target\": 8}, {\"weight\": 1094, \"source\": 3, \"target\": 7}, {\"weight\": 1747, \"source\": 3, \"target\": 4}, {\"weight\": 9562, \"source\": 3, \"target\": 6}, {\"weight\": 14694, \"source\": 4, \"target\": 5}, {\"weight\": 1400, \"source\": 4, \"target\": 8}, {\"weight\": 1459, \"source\": 4, \"target\": 7}, {\"weight\": 9050, \"source\": 4, \"target\": 6}, {\"weight\": 13394, \"source\": 5, \"target\": 8}, {\"weight\": 13704, \"source\": 5, \"target\": 7}, {\"weight\": 10278, \"source\": 5, \"target\": 6}, {\"weight\": 8930, \"source\": 6, \"target\": 8}, {\"weight\": 8468, \"source\": 6, \"target\": 7}, {\"weight\": 611, \"source\": 7, \"target\": 8}]}", "id": 1385, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: OZC, MLO, CXR, STC, OKC, MBA, CCM, SDF, LAN\n- Travel distances (in kilometers) between each pair of airports:\nOZC to MBA: 10600\nOZC to LAN: 13797\nOZC to MLO: 10618\nOZC to SDF: 14038\nOZC to OKC: 13603\nOZC to CCM: 19411\nOZC to CXR: 2694\nOZC to STC: 14221\nMLO to MBA: 5173\nMLO to LAN: 8731\nMLO to SDF: 9071\nMLO to OKC: 10028\nMLO to CCM: 11273\nMLO to CXR: 9119\nMLO to STC: 9547\nCXR to MBA: 8679\nCXR to LAN: 14058\nCXR to SDF: 14315\nCXR to OKC: 14199\nCXR to CCM: 17976\nCXR to STC: 14487\nSTC to MBA: 14213\nSTC to LAN: 919\nSTC to SDF: 1094\nSTC to OKC: 1747\nSTC to CCM: 9562\nOKC to MBA: 14694\nOKC to LAN: 1400\nOKC to SDF: 1459\nOKC to CCM: 9050\nMBA to LAN: 13394\nMBA to SDF: 13704\nMBA to CCM: 10278\nCCM to LAN: 8930\nCCM to SDF: 8468\nSDF to LAN: 611\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PNA, BQN, MZH, SVR, DED, EVG, MDZ, GSO, ASM\n- Travel distances (in kilometers) between each pair of airports:\nPNA to MDZ: 11094\nPNA to GSO: 6797\nPNA to DED: 7768\nPNA to BQN: 8604\nPNA to SVR: 6586\nPNA to ASM: 5467\nPNA to MZH: 3571\nPNA to EVG: 3227\nBQN to MDZ: 8477\nBQN to GSO: 2705\nBQN to DED: 14503\nBQN to SVR: 9960\nBQN to ASM: 13376\nBQN to MZH: 11148\nBQN to EVG: 9159\nMZH to MDZ: 13541\nMZH to GSO: 9342\nMZH to DED: 5267\nMZH to SVR: 7527\nMZH to ASM: 3560\nMZH to EVG: 3076\nSVR to MDZ: 15765\nSVR to GSO: 8133\nSVR to DED: 11015\nSVR to ASM: 9984\nSVR to EVG: 5723\nDED to MDZ: 17023\nDED to GSO: 12685\nDED to ASM: 4530\nDED to EVG: 6115\nEVG to MDZ: 13664\nEVG to GSO: 7346\nEVG to ASM: 5580\nMDZ to GSO: 7999\nMDZ to ASM: 12813\nGSO to ASM: 11571\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 53908, "style": "rule" }
{ "exact_answer": 53908, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"PNA\", \"id\": 0}, {\"name\": \"BQN\", \"id\": 1}, {\"name\": \"MZH\", \"id\": 2}, {\"name\": \"SVR\", \"id\": 3}, {\"name\": \"DED\", \"id\": 4}, {\"name\": \"EVG\", \"id\": 5}, {\"name\": \"MDZ\", \"id\": 6}, {\"name\": \"GSO\", \"id\": 7}, {\"name\": \"ASM\", \"id\": 8}], \"links\": [{\"weight\": 11094, \"source\": 0, \"target\": 6}, {\"weight\": 6797, \"source\": 0, \"target\": 7}, {\"weight\": 7768, \"source\": 0, \"target\": 4}, {\"weight\": 8604, \"source\": 0, \"target\": 1}, {\"weight\": 6586, \"source\": 0, \"target\": 3}, {\"weight\": 5467, \"source\": 0, \"target\": 8}, {\"weight\": 3571, \"source\": 0, \"target\": 2}, {\"weight\": 3227, \"source\": 0, \"target\": 5}, {\"weight\": 8477, \"source\": 1, \"target\": 6}, {\"weight\": 2705, \"source\": 1, \"target\": 7}, {\"weight\": 14503, \"source\": 1, \"target\": 4}, {\"weight\": 9960, \"source\": 1, \"target\": 3}, {\"weight\": 13376, \"source\": 1, \"target\": 8}, {\"weight\": 11148, \"source\": 1, \"target\": 2}, {\"weight\": 9159, \"source\": 1, \"target\": 5}, {\"weight\": 13541, \"source\": 2, \"target\": 6}, {\"weight\": 9342, \"source\": 2, \"target\": 7}, {\"weight\": 5267, \"source\": 2, \"target\": 4}, {\"weight\": 7527, \"source\": 2, \"target\": 3}, {\"weight\": 3560, \"source\": 2, \"target\": 8}, {\"weight\": 3076, \"source\": 2, \"target\": 5}, {\"weight\": 15765, \"source\": 3, \"target\": 6}, {\"weight\": 8133, \"source\": 3, \"target\": 7}, {\"weight\": 11015, \"source\": 3, \"target\": 4}, {\"weight\": 9984, \"source\": 3, \"target\": 8}, {\"weight\": 5723, \"source\": 3, \"target\": 5}, {\"weight\": 17023, \"source\": 4, \"target\": 6}, {\"weight\": 12685, \"source\": 4, \"target\": 7}, {\"weight\": 4530, \"source\": 4, \"target\": 8}, {\"weight\": 6115, \"source\": 4, \"target\": 5}, {\"weight\": 13664, \"source\": 5, \"target\": 6}, {\"weight\": 7346, \"source\": 5, \"target\": 7}, {\"weight\": 5580, \"source\": 5, \"target\": 8}, {\"weight\": 7999, \"source\": 6, \"target\": 7}, {\"weight\": 12813, \"source\": 6, \"target\": 8}, {\"weight\": 11571, \"source\": 7, \"target\": 8}]}", "id": 1386, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PNA, BQN, MZH, SVR, DED, EVG, MDZ, GSO, ASM\n- Travel distances (in kilometers) between each pair of airports:\nPNA to MDZ: 11094\nPNA to GSO: 6797\nPNA to DED: 7768\nPNA to BQN: 8604\nPNA to SVR: 6586\nPNA to ASM: 5467\nPNA to MZH: 3571\nPNA to EVG: 3227\nBQN to MDZ: 8477\nBQN to GSO: 2705\nBQN to DED: 14503\nBQN to SVR: 9960\nBQN to ASM: 13376\nBQN to MZH: 11148\nBQN to EVG: 9159\nMZH to MDZ: 13541\nMZH to GSO: 9342\nMZH to DED: 5267\nMZH to SVR: 7527\nMZH to ASM: 3560\nMZH to EVG: 3076\nSVR to MDZ: 15765\nSVR to GSO: 8133\nSVR to DED: 11015\nSVR to ASM: 9984\nSVR to EVG: 5723\nDED to MDZ: 17023\nDED to GSO: 12685\nDED to ASM: 4530\nDED to EVG: 6115\nEVG to MDZ: 13664\nEVG to GSO: 7346\nEVG to ASM: 5580\nMDZ to GSO: 7999\nMDZ to ASM: 12813\nGSO to ASM: 11571\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TZA, PNS, LIG, SRA, LTO, CLL, DND, MDZ, TOE\n- Travel distances (in kilometers) between each pair of airports:\nTZA to PNS: 2037\nTZA to MDZ: 6203\nTZA to CLL: 1688\nTZA to LIG: 8973\nTZA to LTO: 4630\nTZA to DND: 8986\nTZA to SRA: 7103\nTZA to TOE: 9992\nPNS to MDZ: 7661\nPNS to CLL: 903\nPNS to LIG: 7724\nPNS to LTO: 4067\nPNS to DND: 7775\nPNS to SRA: 8187\nPNS to TOE: 9035\nLIG to MDZ: 12004\nLIG to CLL: 8445\nLIG to LTO: 10531\nLIG to DND: 1223\nLIG to SRA: 10852\nLIG to TOE: 1710\nSRA to MDZ: 2227\nSRA to CLL: 8662\nSRA to LTO: 11573\nSRA to DND: 11357\nSRA to TOE: 10843\nLTO to MDZ: 10406\nLTO to CLL: 3362\nLTO to DND: 10621\nLTO to TOE: 11951\nCLL to MDZ: 7837\nCLL to DND: 8458\nCLL to TOE: 9779\nDND to MDZ: 12509\nDND to TOE: 2771\nMDZ to TOE: 11995\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 38876, "style": "rule" }
{ "exact_answer": 38876, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"TZA\", \"id\": 0}, {\"name\": \"PNS\", \"id\": 1}, {\"name\": \"LIG\", \"id\": 2}, {\"name\": \"SRA\", \"id\": 3}, {\"name\": \"LTO\", \"id\": 4}, {\"name\": \"CLL\", \"id\": 5}, {\"name\": \"DND\", \"id\": 6}, {\"name\": \"MDZ\", \"id\": 7}, {\"name\": \"TOE\", \"id\": 8}], \"links\": [{\"weight\": 2037, \"source\": 0, \"target\": 1}, {\"weight\": 6203, \"source\": 0, \"target\": 7}, {\"weight\": 1688, \"source\": 0, \"target\": 5}, {\"weight\": 8973, \"source\": 0, \"target\": 2}, {\"weight\": 4630, \"source\": 0, \"target\": 4}, {\"weight\": 8986, \"source\": 0, \"target\": 6}, {\"weight\": 7103, \"source\": 0, \"target\": 3}, {\"weight\": 9992, \"source\": 0, \"target\": 8}, {\"weight\": 7661, \"source\": 1, \"target\": 7}, {\"weight\": 903, \"source\": 1, \"target\": 5}, {\"weight\": 7724, \"source\": 1, \"target\": 2}, {\"weight\": 4067, \"source\": 1, \"target\": 4}, {\"weight\": 7775, \"source\": 1, \"target\": 6}, {\"weight\": 8187, \"source\": 1, \"target\": 3}, {\"weight\": 9035, \"source\": 1, \"target\": 8}, {\"weight\": 12004, \"source\": 2, \"target\": 7}, {\"weight\": 8445, \"source\": 2, \"target\": 5}, {\"weight\": 10531, \"source\": 2, \"target\": 4}, {\"weight\": 1223, \"source\": 2, \"target\": 6}, {\"weight\": 10852, \"source\": 2, \"target\": 3}, {\"weight\": 1710, \"source\": 2, \"target\": 8}, {\"weight\": 2227, \"source\": 3, \"target\": 7}, {\"weight\": 8662, \"source\": 3, \"target\": 5}, {\"weight\": 11573, \"source\": 3, \"target\": 4}, {\"weight\": 11357, \"source\": 3, \"target\": 6}, {\"weight\": 10843, \"source\": 3, \"target\": 8}, {\"weight\": 10406, \"source\": 4, \"target\": 7}, {\"weight\": 3362, \"source\": 4, \"target\": 5}, {\"weight\": 10621, \"source\": 4, \"target\": 6}, {\"weight\": 11951, \"source\": 4, \"target\": 8}, {\"weight\": 7837, \"source\": 5, \"target\": 7}, {\"weight\": 8458, \"source\": 5, \"target\": 6}, {\"weight\": 9779, \"source\": 5, \"target\": 8}, {\"weight\": 12509, \"source\": 6, \"target\": 7}, {\"weight\": 2771, \"source\": 6, \"target\": 8}, {\"weight\": 11995, \"source\": 7, \"target\": 8}]}", "id": 1387, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TZA, PNS, LIG, SRA, LTO, CLL, DND, MDZ, TOE\n- Travel distances (in kilometers) between each pair of airports:\nTZA to PNS: 2037\nTZA to MDZ: 6203\nTZA to CLL: 1688\nTZA to LIG: 8973\nTZA to LTO: 4630\nTZA to DND: 8986\nTZA to SRA: 7103\nTZA to TOE: 9992\nPNS to MDZ: 7661\nPNS to CLL: 903\nPNS to LIG: 7724\nPNS to LTO: 4067\nPNS to DND: 7775\nPNS to SRA: 8187\nPNS to TOE: 9035\nLIG to MDZ: 12004\nLIG to CLL: 8445\nLIG to LTO: 10531\nLIG to DND: 1223\nLIG to SRA: 10852\nLIG to TOE: 1710\nSRA to MDZ: 2227\nSRA to CLL: 8662\nSRA to LTO: 11573\nSRA to DND: 11357\nSRA to TOE: 10843\nLTO to MDZ: 10406\nLTO to CLL: 3362\nLTO to DND: 10621\nLTO to TOE: 11951\nCLL to MDZ: 7837\nCLL to DND: 8458\nCLL to TOE: 9779\nDND to MDZ: 12509\nDND to TOE: 2771\nMDZ to TOE: 11995\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: DIL, PNZ, LTI, LYA, MCT, QUO, TGD, SHV, ABQ\n- Travel distances (in kilometers) between each pair of airports:\nDIL to MCT: 8133\nDIL to LYA: 5982\nDIL to ABQ: 16196\nDIL to SHV: 17244\nDIL to PNZ: 19525\nDIL to TGD: 12103\nDIL to LTI: 8344\nDIL to QUO: 14724\nPNZ to MCT: 12530\nPNZ to LYA: 16830\nPNZ to ABQ: 9434\nPNZ to SHV: 8562\nPNZ to TGD: 8910\nPNZ to LTI: 15840\nPNZ to QUO: 7548\nLTI to MCT: 6354\nLTI to LYA: 2706\nLTI to ABQ: 12573\nLTI to SHV: 13562\nLTI to TGD: 7487\nLTI to QUO: 11938\nLYA to MCT: 5615\nLYA to ABQ: 11265\nLYA to SHV: 12254\nLYA to TGD: 8463\nLYA to QUO: 12240\nMCT to ABQ: 13513\nMCT to SHV: 13442\nMCT to TGD: 4161\nMCT to QUO: 6709\nQUO to ABQ: 11912\nQUO to SHV: 10817\nQUO to TGD: 5132\nTGD to ABQ: 9808\nTGD to SHV: 9427\nSHV to ABQ: 1217\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 56014, "style": "rule" }
{ "exact_answer": 56014, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"DIL\", \"id\": 0}, {\"name\": \"PNZ\", \"id\": 1}, {\"name\": \"LTI\", \"id\": 2}, {\"name\": \"LYA\", \"id\": 3}, {\"name\": \"MCT\", \"id\": 4}, {\"name\": \"QUO\", \"id\": 5}, {\"name\": \"TGD\", \"id\": 6}, {\"name\": \"SHV\", \"id\": 7}, {\"name\": \"ABQ\", \"id\": 8}], \"links\": [{\"weight\": 8133, \"source\": 0, \"target\": 4}, {\"weight\": 5982, \"source\": 0, \"target\": 3}, {\"weight\": 16196, \"source\": 0, \"target\": 8}, {\"weight\": 17244, \"source\": 0, \"target\": 7}, {\"weight\": 19525, \"source\": 0, \"target\": 1}, {\"weight\": 12103, \"source\": 0, \"target\": 6}, {\"weight\": 8344, \"source\": 0, \"target\": 2}, {\"weight\": 14724, \"source\": 0, \"target\": 5}, {\"weight\": 12530, \"source\": 1, \"target\": 4}, {\"weight\": 16830, \"source\": 1, \"target\": 3}, {\"weight\": 9434, \"source\": 1, \"target\": 8}, {\"weight\": 8562, \"source\": 1, \"target\": 7}, {\"weight\": 8910, \"source\": 1, \"target\": 6}, {\"weight\": 15840, \"source\": 1, \"target\": 2}, {\"weight\": 7548, \"source\": 1, \"target\": 5}, {\"weight\": 6354, \"source\": 2, \"target\": 4}, {\"weight\": 2706, \"source\": 2, \"target\": 3}, {\"weight\": 12573, \"source\": 2, \"target\": 8}, {\"weight\": 13562, \"source\": 2, \"target\": 7}, {\"weight\": 7487, \"source\": 2, \"target\": 6}, {\"weight\": 11938, \"source\": 2, \"target\": 5}, {\"weight\": 5615, \"source\": 3, \"target\": 4}, {\"weight\": 11265, \"source\": 3, \"target\": 8}, {\"weight\": 12254, \"source\": 3, \"target\": 7}, {\"weight\": 8463, \"source\": 3, \"target\": 6}, {\"weight\": 12240, \"source\": 3, \"target\": 5}, {\"weight\": 13513, \"source\": 4, \"target\": 8}, {\"weight\": 13442, \"source\": 4, \"target\": 7}, {\"weight\": 4161, \"source\": 4, \"target\": 6}, {\"weight\": 6709, \"source\": 4, \"target\": 5}, {\"weight\": 11912, \"source\": 5, \"target\": 8}, {\"weight\": 10817, \"source\": 5, \"target\": 7}, {\"weight\": 5132, \"source\": 5, \"target\": 6}, {\"weight\": 9808, \"source\": 6, \"target\": 8}, {\"weight\": 9427, \"source\": 6, \"target\": 7}, {\"weight\": 1217, \"source\": 7, \"target\": 8}]}", "id": 1388, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: DIL, PNZ, LTI, LYA, MCT, QUO, TGD, SHV, ABQ\n- Travel distances (in kilometers) between each pair of airports:\nDIL to MCT: 8133\nDIL to LYA: 5982\nDIL to ABQ: 16196\nDIL to SHV: 17244\nDIL to PNZ: 19525\nDIL to TGD: 12103\nDIL to LTI: 8344\nDIL to QUO: 14724\nPNZ to MCT: 12530\nPNZ to LYA: 16830\nPNZ to ABQ: 9434\nPNZ to SHV: 8562\nPNZ to TGD: 8910\nPNZ to LTI: 15840\nPNZ to QUO: 7548\nLTI to MCT: 6354\nLTI to LYA: 2706\nLTI to ABQ: 12573\nLTI to SHV: 13562\nLTI to TGD: 7487\nLTI to QUO: 11938\nLYA to MCT: 5615\nLYA to ABQ: 11265\nLYA to SHV: 12254\nLYA to TGD: 8463\nLYA to QUO: 12240\nMCT to ABQ: 13513\nMCT to SHV: 13442\nMCT to TGD: 4161\nMCT to QUO: 6709\nQUO to ABQ: 11912\nQUO to SHV: 10817\nQUO to TGD: 5132\nTGD to ABQ: 9808\nTGD to SHV: 9427\nSHV to ABQ: 1217\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: GBB, AQA, ACR, MAD, HYA, BNK, ULV, INC, KUF\n- Travel distances (in kilometers) between each pair of airports:\nGBB to INC: 7355\nGBB to MAD: 5210\nGBB to ULV: 2479\nGBB to KUF: 2593\nGBB to HYA: 9127\nGBB to ACR: 13341\nGBB to AQA: 13768\nGBB to BNK: 16887\nAQA to INC: 17318\nAQA to MAD: 8558\nAQA to ULV: 12697\nAQA to KUF: 12776\nAQA to HYA: 8185\nAQA to ACR: 5616\nAQA to BNK: 14953\nACR to INC: 16457\nACR to MAD: 8636\nACR to ULV: 12270\nACR to KUF: 12365\nACR to HYA: 4968\nACR to BNK: 16806\nMAD to INC: 8806\nMAD to ULV: 4139\nMAD to KUF: 4218\nMAD to HYA: 5571\nMAD to BNK: 18283\nHYA to INC: 12300\nHYA to ULV: 8056\nHYA to KUF: 8109\nHYA to BNK: 16894\nBNK to INC: 9908\nBNK to ULV: 14633\nBNK to KUF: 14324\nULV to INC: 5107\nULV to KUF: 1522\nINC to KUF: 4762\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 54989, "style": "rule" }
{ "exact_answer": 54989, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"GBB\", \"id\": 0}, {\"name\": \"AQA\", \"id\": 1}, {\"name\": \"ACR\", \"id\": 2}, {\"name\": \"MAD\", \"id\": 3}, {\"name\": \"HYA\", \"id\": 4}, {\"name\": \"BNK\", \"id\": 5}, {\"name\": \"ULV\", \"id\": 6}, {\"name\": \"INC\", \"id\": 7}, {\"name\": \"KUF\", \"id\": 8}], \"links\": [{\"weight\": 7355, \"source\": 0, \"target\": 7}, {\"weight\": 5210, \"source\": 0, \"target\": 3}, {\"weight\": 2479, \"source\": 0, \"target\": 6}, {\"weight\": 2593, \"source\": 0, \"target\": 8}, {\"weight\": 9127, \"source\": 0, \"target\": 4}, {\"weight\": 13341, \"source\": 0, \"target\": 2}, {\"weight\": 13768, \"source\": 0, \"target\": 1}, {\"weight\": 16887, \"source\": 0, \"target\": 5}, {\"weight\": 17318, \"source\": 1, \"target\": 7}, {\"weight\": 8558, \"source\": 1, \"target\": 3}, {\"weight\": 12697, \"source\": 1, \"target\": 6}, {\"weight\": 12776, \"source\": 1, \"target\": 8}, {\"weight\": 8185, \"source\": 1, \"target\": 4}, {\"weight\": 5616, \"source\": 1, \"target\": 2}, {\"weight\": 14953, \"source\": 1, \"target\": 5}, {\"weight\": 16457, \"source\": 2, \"target\": 7}, {\"weight\": 8636, \"source\": 2, \"target\": 3}, {\"weight\": 12270, \"source\": 2, \"target\": 6}, {\"weight\": 12365, \"source\": 2, \"target\": 8}, {\"weight\": 4968, \"source\": 2, \"target\": 4}, {\"weight\": 16806, \"source\": 2, \"target\": 5}, {\"weight\": 8806, \"source\": 3, \"target\": 7}, {\"weight\": 4139, \"source\": 3, \"target\": 6}, {\"weight\": 4218, \"source\": 3, \"target\": 8}, {\"weight\": 5571, \"source\": 3, \"target\": 4}, {\"weight\": 18283, \"source\": 3, \"target\": 5}, {\"weight\": 12300, \"source\": 4, \"target\": 7}, {\"weight\": 8056, \"source\": 4, \"target\": 6}, {\"weight\": 8109, \"source\": 4, \"target\": 8}, {\"weight\": 16894, \"source\": 4, \"target\": 5}, {\"weight\": 9908, \"source\": 5, \"target\": 7}, {\"weight\": 14633, \"source\": 5, \"target\": 6}, {\"weight\": 14324, \"source\": 5, \"target\": 8}, {\"weight\": 5107, \"source\": 6, \"target\": 7}, {\"weight\": 1522, \"source\": 6, \"target\": 8}, {\"weight\": 4762, \"source\": 7, \"target\": 8}]}", "id": 1389, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: GBB, AQA, ACR, MAD, HYA, BNK, ULV, INC, KUF\n- Travel distances (in kilometers) between each pair of airports:\nGBB to INC: 7355\nGBB to MAD: 5210\nGBB to ULV: 2479\nGBB to KUF: 2593\nGBB to HYA: 9127\nGBB to ACR: 13341\nGBB to AQA: 13768\nGBB to BNK: 16887\nAQA to INC: 17318\nAQA to MAD: 8558\nAQA to ULV: 12697\nAQA to KUF: 12776\nAQA to HYA: 8185\nAQA to ACR: 5616\nAQA to BNK: 14953\nACR to INC: 16457\nACR to MAD: 8636\nACR to ULV: 12270\nACR to KUF: 12365\nACR to HYA: 4968\nACR to BNK: 16806\nMAD to INC: 8806\nMAD to ULV: 4139\nMAD to KUF: 4218\nMAD to HYA: 5571\nMAD to BNK: 18283\nHYA to INC: 12300\nHYA to ULV: 8056\nHYA to KUF: 8109\nHYA to BNK: 16894\nBNK to INC: 9908\nBNK to ULV: 14633\nBNK to KUF: 14324\nULV to INC: 5107\nULV to KUF: 1522\nINC to KUF: 4762\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: YZV, RAR, JCB, AVV, PEG, BSS, RJL, BHJ, STW\n- Travel distances (in kilometers) between each pair of airports:\nYZV to BHJ: 12732\nYZV to PEG: 6773\nYZV to RAR: 12274\nYZV to RJL: 6438\nYZV to AVV: 17546\nYZV to JCB: 9583\nYZV to BSS: 7399\nYZV to STW: 8638\nRAR to BHJ: 15766\nRAR to PEG: 17664\nRAR to RJL: 17166\nRAR to AVV: 5741\nRAR to JCB: 11506\nRAR to BSS: 14028\nRAR to STW: 18544\nJCB to BHJ: 15027\nJCB to PEG: 10632\nJCB to RJL: 9278\nJCB to AVV: 14459\nJCB to BSS: 2800\nJCB to STW: 12654\nAVV to BHJ: 11535\nAVV to PEG: 17257\nAVV to RJL: 18671\nAVV to BSS: 16981\nAVV to STW: 16439\nPEG to BHJ: 6950\nPEG to RJL: 1844\nPEG to BSS: 9092\nPEG to STW: 2723\nBSS to BHJ: 14818\nBSS to RJL: 7736\nBSS to STW: 11148\nRJL to BHJ: 8348\nRJL to STW: 4137\nBHJ to STW: 6508\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 56494, "style": "rule" }
{ "exact_answer": 56494, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"YZV\", \"id\": 0}, {\"name\": \"RAR\", \"id\": 1}, {\"name\": \"JCB\", \"id\": 2}, {\"name\": \"AVV\", \"id\": 3}, {\"name\": \"PEG\", \"id\": 4}, {\"name\": \"BSS\", \"id\": 5}, {\"name\": \"RJL\", \"id\": 6}, {\"name\": \"BHJ\", \"id\": 7}, {\"name\": \"STW\", \"id\": 8}], \"links\": [{\"weight\": 12732, \"source\": 0, \"target\": 7}, {\"weight\": 6773, \"source\": 0, \"target\": 4}, {\"weight\": 12274, \"source\": 0, \"target\": 1}, {\"weight\": 6438, \"source\": 0, \"target\": 6}, {\"weight\": 17546, \"source\": 0, \"target\": 3}, {\"weight\": 9583, \"source\": 0, \"target\": 2}, {\"weight\": 7399, \"source\": 0, \"target\": 5}, {\"weight\": 8638, \"source\": 0, \"target\": 8}, {\"weight\": 15766, \"source\": 1, \"target\": 7}, {\"weight\": 17664, \"source\": 1, \"target\": 4}, {\"weight\": 17166, \"source\": 1, \"target\": 6}, {\"weight\": 5741, \"source\": 1, \"target\": 3}, {\"weight\": 11506, \"source\": 1, \"target\": 2}, {\"weight\": 14028, \"source\": 1, \"target\": 5}, {\"weight\": 18544, \"source\": 1, \"target\": 8}, {\"weight\": 15027, \"source\": 2, \"target\": 7}, {\"weight\": 10632, \"source\": 2, \"target\": 4}, {\"weight\": 9278, \"source\": 2, \"target\": 6}, {\"weight\": 14459, \"source\": 2, \"target\": 3}, {\"weight\": 2800, \"source\": 2, \"target\": 5}, {\"weight\": 12654, \"source\": 2, \"target\": 8}, {\"weight\": 11535, \"source\": 3, \"target\": 7}, {\"weight\": 17257, \"source\": 3, \"target\": 4}, {\"weight\": 18671, \"source\": 3, \"target\": 6}, {\"weight\": 16981, \"source\": 3, \"target\": 5}, {\"weight\": 16439, \"source\": 3, \"target\": 8}, {\"weight\": 6950, \"source\": 4, \"target\": 7}, {\"weight\": 1844, \"source\": 4, \"target\": 6}, {\"weight\": 9092, \"source\": 4, \"target\": 5}, {\"weight\": 2723, \"source\": 4, \"target\": 8}, {\"weight\": 14818, \"source\": 5, \"target\": 7}, {\"weight\": 7736, \"source\": 5, \"target\": 6}, {\"weight\": 11148, \"source\": 5, \"target\": 8}, {\"weight\": 8348, \"source\": 6, \"target\": 7}, {\"weight\": 4137, \"source\": 6, \"target\": 8}, {\"weight\": 6508, \"source\": 7, \"target\": 8}]}", "id": 1390, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: YZV, RAR, JCB, AVV, PEG, BSS, RJL, BHJ, STW\n- Travel distances (in kilometers) between each pair of airports:\nYZV to BHJ: 12732\nYZV to PEG: 6773\nYZV to RAR: 12274\nYZV to RJL: 6438\nYZV to AVV: 17546\nYZV to JCB: 9583\nYZV to BSS: 7399\nYZV to STW: 8638\nRAR to BHJ: 15766\nRAR to PEG: 17664\nRAR to RJL: 17166\nRAR to AVV: 5741\nRAR to JCB: 11506\nRAR to BSS: 14028\nRAR to STW: 18544\nJCB to BHJ: 15027\nJCB to PEG: 10632\nJCB to RJL: 9278\nJCB to AVV: 14459\nJCB to BSS: 2800\nJCB to STW: 12654\nAVV to BHJ: 11535\nAVV to PEG: 17257\nAVV to RJL: 18671\nAVV to BSS: 16981\nAVV to STW: 16439\nPEG to BHJ: 6950\nPEG to RJL: 1844\nPEG to BSS: 9092\nPEG to STW: 2723\nBSS to BHJ: 14818\nBSS to RJL: 7736\nBSS to STW: 11148\nRJL to BHJ: 8348\nRJL to STW: 4137\nBHJ to STW: 6508\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: MAQ, FON, FRO, TAL, MRZ, KAD, KGT, MOF, HVR\n- Travel distances (in kilometers) between each pair of airports:\nMAQ to TAL: 15036\nMAQ to FON: 17820\nMAQ to HVR: 13754\nMAQ to MOF: 4145\nMAQ to KGT: 2457\nMAQ to MRZ: 8476\nMAQ to KAD: 11813\nMAQ to FRO: 9629\nFON to TAL: 8248\nFON to HVR: 5004\nFON to MOF: 19582\nFON to KGT: 15876\nFON to MRZ: 16947\nFON to KAD: 11891\nFON to FRO: 9371\nFRO to TAL: 10107\nFRO to HVR: 8406\nFRO to MOF: 12767\nFRO to KGT: 7957\nFRO to MRZ: 16837\nFRO to KAD: 6751\nTAL to HVR: 4046\nTAL to MOF: 16706\nTAL to KGT: 13092\nTAL to MRZ: 13775\nTAL to KAD: 15392\nMRZ to HVR: 14275\nMRZ to MOF: 5909\nMRZ to KGT: 9447\nMRZ to KAD: 16691\nKAD to HVR: 12245\nKAD to MOF: 14558\nKAD to KGT: 11484\nKGT to HVR: 11810\nKGT to MOF: 5772\nMOF to HVR: 15424\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 61935, "style": "rule" }
{ "exact_answer": 61935, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"MAQ\", \"id\": 0}, {\"name\": \"FON\", \"id\": 1}, {\"name\": \"FRO\", \"id\": 2}, {\"name\": \"TAL\", \"id\": 3}, {\"name\": \"MRZ\", \"id\": 4}, {\"name\": \"KAD\", \"id\": 5}, {\"name\": \"KGT\", \"id\": 6}, {\"name\": \"MOF\", \"id\": 7}, {\"name\": \"HVR\", \"id\": 8}], \"links\": [{\"weight\": 15036, \"source\": 0, \"target\": 3}, {\"weight\": 17820, \"source\": 0, \"target\": 1}, {\"weight\": 13754, \"source\": 0, \"target\": 8}, {\"weight\": 4145, \"source\": 0, \"target\": 7}, {\"weight\": 2457, \"source\": 0, \"target\": 6}, {\"weight\": 8476, \"source\": 0, \"target\": 4}, {\"weight\": 11813, \"source\": 0, \"target\": 5}, {\"weight\": 9629, \"source\": 0, \"target\": 2}, {\"weight\": 8248, \"source\": 1, \"target\": 3}, {\"weight\": 5004, \"source\": 1, \"target\": 8}, {\"weight\": 19582, \"source\": 1, \"target\": 7}, {\"weight\": 15876, \"source\": 1, \"target\": 6}, {\"weight\": 16947, \"source\": 1, \"target\": 4}, {\"weight\": 11891, \"source\": 1, \"target\": 5}, {\"weight\": 9371, \"source\": 1, \"target\": 2}, {\"weight\": 10107, \"source\": 2, \"target\": 3}, {\"weight\": 8406, \"source\": 2, \"target\": 8}, {\"weight\": 12767, \"source\": 2, \"target\": 7}, {\"weight\": 7957, \"source\": 2, \"target\": 6}, {\"weight\": 16837, \"source\": 2, \"target\": 4}, {\"weight\": 6751, \"source\": 2, \"target\": 5}, {\"weight\": 4046, \"source\": 3, \"target\": 8}, {\"weight\": 16706, \"source\": 3, \"target\": 7}, {\"weight\": 13092, \"source\": 3, \"target\": 6}, {\"weight\": 13775, \"source\": 3, \"target\": 4}, {\"weight\": 15392, \"source\": 3, \"target\": 5}, {\"weight\": 14275, \"source\": 4, \"target\": 8}, {\"weight\": 5909, \"source\": 4, \"target\": 7}, {\"weight\": 9447, \"source\": 4, \"target\": 6}, {\"weight\": 16691, \"source\": 4, \"target\": 5}, {\"weight\": 12245, \"source\": 5, \"target\": 8}, {\"weight\": 14558, \"source\": 5, \"target\": 7}, {\"weight\": 11484, \"source\": 5, \"target\": 6}, {\"weight\": 11810, \"source\": 6, \"target\": 8}, {\"weight\": 5772, \"source\": 6, \"target\": 7}, {\"weight\": 15424, \"source\": 7, \"target\": 8}]}", "id": 1391, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: MAQ, FON, FRO, TAL, MRZ, KAD, KGT, MOF, HVR\n- Travel distances (in kilometers) between each pair of airports:\nMAQ to TAL: 15036\nMAQ to FON: 17820\nMAQ to HVR: 13754\nMAQ to MOF: 4145\nMAQ to KGT: 2457\nMAQ to MRZ: 8476\nMAQ to KAD: 11813\nMAQ to FRO: 9629\nFON to TAL: 8248\nFON to HVR: 5004\nFON to MOF: 19582\nFON to KGT: 15876\nFON to MRZ: 16947\nFON to KAD: 11891\nFON to FRO: 9371\nFRO to TAL: 10107\nFRO to HVR: 8406\nFRO to MOF: 12767\nFRO to KGT: 7957\nFRO to MRZ: 16837\nFRO to KAD: 6751\nTAL to HVR: 4046\nTAL to MOF: 16706\nTAL to KGT: 13092\nTAL to MRZ: 13775\nTAL to KAD: 15392\nMRZ to HVR: 14275\nMRZ to MOF: 5909\nMRZ to KGT: 9447\nMRZ to KAD: 16691\nKAD to HVR: 12245\nKAD to MOF: 14558\nKAD to KGT: 11484\nKGT to HVR: 11810\nKGT to MOF: 5772\nMOF to HVR: 15424\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BTU, CUL, AXK, RVD, SUR, IMP, NUL, IOA, SHJ\n- Travel distances (in kilometers) between each pair of airports:\nBTU to CUL: 14758\nBTU to NUL: 15189\nBTU to SHJ: 6793\nBTU to IOA: 10370\nBTU to IMP: 18856\nBTU to RVD: 18354\nBTU to AXK: 8242\nBTU to SUR: 14486\nCUL to NUL: 5812\nCUL to SHJ: 14511\nCUL to IOA: 11922\nCUL to IMP: 7584\nCUL to RVD: 9307\nCUL to AXK: 15072\nCUL to SUR: 4075\nAXK to NUL: 16395\nAXK to SHJ: 1905\nAXK to IOA: 3825\nAXK to IMP: 11476\nAXK to RVD: 11984\nAXK to SUR: 13163\nRVD to NUL: 14516\nRVD to SHJ: 13045\nRVD to IOA: 11552\nRVD to IMP: 2646\nRVD to SUR: 10599\nSUR to NUL: 5618\nSUR to SHJ: 12643\nSUR to IOA: 10010\nSUR to IMP: 7966\nIMP to NUL: 12196\nIMP to SHJ: 12487\nIMP to IOA: 9654\nNUL to SHJ: 15439\nNUL to IOA: 13288\nIOA to SHJ: 3617\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 59012, "style": "rule" }
{ "exact_answer": 59012, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"BTU\", \"id\": 0}, {\"name\": \"CUL\", \"id\": 1}, {\"name\": \"AXK\", \"id\": 2}, {\"name\": \"RVD\", \"id\": 3}, {\"name\": \"SUR\", \"id\": 4}, {\"name\": \"IMP\", \"id\": 5}, {\"name\": \"NUL\", \"id\": 6}, {\"name\": \"IOA\", \"id\": 7}, {\"name\": \"SHJ\", \"id\": 8}], \"links\": [{\"weight\": 14758, \"source\": 0, \"target\": 1}, {\"weight\": 15189, \"source\": 0, \"target\": 6}, {\"weight\": 6793, \"source\": 0, \"target\": 8}, {\"weight\": 10370, \"source\": 0, \"target\": 7}, {\"weight\": 18856, \"source\": 0, \"target\": 5}, {\"weight\": 18354, \"source\": 0, \"target\": 3}, {\"weight\": 8242, \"source\": 0, \"target\": 2}, {\"weight\": 14486, \"source\": 0, \"target\": 4}, {\"weight\": 5812, \"source\": 1, \"target\": 6}, {\"weight\": 14511, \"source\": 1, \"target\": 8}, {\"weight\": 11922, \"source\": 1, \"target\": 7}, {\"weight\": 7584, \"source\": 1, \"target\": 5}, {\"weight\": 9307, \"source\": 1, \"target\": 3}, {\"weight\": 15072, \"source\": 1, \"target\": 2}, {\"weight\": 4075, \"source\": 1, \"target\": 4}, {\"weight\": 16395, \"source\": 2, \"target\": 6}, {\"weight\": 1905, \"source\": 2, \"target\": 8}, {\"weight\": 3825, \"source\": 2, \"target\": 7}, {\"weight\": 11476, \"source\": 2, \"target\": 5}, {\"weight\": 11984, \"source\": 2, \"target\": 3}, {\"weight\": 13163, \"source\": 2, \"target\": 4}, {\"weight\": 14516, \"source\": 3, \"target\": 6}, {\"weight\": 13045, \"source\": 3, \"target\": 8}, {\"weight\": 11552, \"source\": 3, \"target\": 7}, {\"weight\": 2646, \"source\": 3, \"target\": 5}, {\"weight\": 10599, \"source\": 3, \"target\": 4}, {\"weight\": 5618, \"source\": 4, \"target\": 6}, {\"weight\": 12643, \"source\": 4, \"target\": 8}, {\"weight\": 10010, \"source\": 4, \"target\": 7}, {\"weight\": 7966, \"source\": 4, \"target\": 5}, {\"weight\": 12196, \"source\": 5, \"target\": 6}, {\"weight\": 12487, \"source\": 5, \"target\": 8}, {\"weight\": 9654, \"source\": 5, \"target\": 7}, {\"weight\": 15439, \"source\": 6, \"target\": 8}, {\"weight\": 13288, \"source\": 6, \"target\": 7}, {\"weight\": 3617, \"source\": 7, \"target\": 8}]}", "id": 1392, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BTU, CUL, AXK, RVD, SUR, IMP, NUL, IOA, SHJ\n- Travel distances (in kilometers) between each pair of airports:\nBTU to CUL: 14758\nBTU to NUL: 15189\nBTU to SHJ: 6793\nBTU to IOA: 10370\nBTU to IMP: 18856\nBTU to RVD: 18354\nBTU to AXK: 8242\nBTU to SUR: 14486\nCUL to NUL: 5812\nCUL to SHJ: 14511\nCUL to IOA: 11922\nCUL to IMP: 7584\nCUL to RVD: 9307\nCUL to AXK: 15072\nCUL to SUR: 4075\nAXK to NUL: 16395\nAXK to SHJ: 1905\nAXK to IOA: 3825\nAXK to IMP: 11476\nAXK to RVD: 11984\nAXK to SUR: 13163\nRVD to NUL: 14516\nRVD to SHJ: 13045\nRVD to IOA: 11552\nRVD to IMP: 2646\nRVD to SUR: 10599\nSUR to NUL: 5618\nSUR to SHJ: 12643\nSUR to IOA: 10010\nSUR to IMP: 7966\nIMP to NUL: 12196\nIMP to SHJ: 12487\nIMP to IOA: 9654\nNUL to SHJ: 15439\nNUL to IOA: 13288\nIOA to SHJ: 3617\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: YBK, BQN, NWI, PBD, YFB, NTN, CGQ, SNP, ALS\n- Travel distances (in kilometers) between each pair of airports:\nYBK to CGQ: 11821\nYBK to YFB: 1377\nYBK to PBD: 15223\nYBK to SNP: 6861\nYBK to NWI: 8064\nYBK to BQN: 6261\nYBK to ALS: 3249\nYBK to NTN: 16984\nBQN to CGQ: 14360\nBQN to YFB: 5157\nBQN to PBD: 15541\nBQN to SNP: 9197\nBQN to NWI: 8153\nBQN to ALS: 4592\nBQN to NTN: 18639\nNWI to CGQ: 8934\nNWI to YFB: 6687\nNWI to PBD: 7536\nNWI to SNP: 11221\nNWI to ALS: 7871\nNWI to NTN: 15586\nPBD to CGQ: 6074\nPBD to YFB: 13846\nPBD to SNP: 17457\nPBD to ALS: 14994\nPBD to NTN: 9681\nYFB to CGQ: 12740\nYFB to SNP: 7780\nYFB to ALS: 4191\nYFB to NTN: 17903\nNTN to CGQ: 7839\nNTN to SNP: 15151\nNTN to ALS: 14770\nCGQ to SNP: 12360\nCGQ to ALS: 10680\nSNP to ALS: 5381\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 59917, "style": "rule" }
{ "exact_answer": 59917, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"YBK\", \"id\": 0}, {\"name\": \"BQN\", \"id\": 1}, {\"name\": \"NWI\", \"id\": 2}, {\"name\": \"PBD\", \"id\": 3}, {\"name\": \"YFB\", \"id\": 4}, {\"name\": \"NTN\", \"id\": 5}, {\"name\": \"CGQ\", \"id\": 6}, {\"name\": \"SNP\", \"id\": 7}, {\"name\": \"ALS\", \"id\": 8}], \"links\": [{\"weight\": 11821, \"source\": 0, \"target\": 6}, {\"weight\": 1377, \"source\": 0, \"target\": 4}, {\"weight\": 15223, \"source\": 0, \"target\": 3}, {\"weight\": 6861, \"source\": 0, \"target\": 7}, {\"weight\": 8064, \"source\": 0, \"target\": 2}, {\"weight\": 6261, \"source\": 0, \"target\": 1}, {\"weight\": 3249, \"source\": 0, \"target\": 8}, {\"weight\": 16984, \"source\": 0, \"target\": 5}, {\"weight\": 14360, \"source\": 1, \"target\": 6}, {\"weight\": 5157, \"source\": 1, \"target\": 4}, {\"weight\": 15541, \"source\": 1, \"target\": 3}, {\"weight\": 9197, \"source\": 1, \"target\": 7}, {\"weight\": 8153, \"source\": 1, \"target\": 2}, {\"weight\": 4592, \"source\": 1, \"target\": 8}, {\"weight\": 18639, \"source\": 1, \"target\": 5}, {\"weight\": 8934, \"source\": 2, \"target\": 6}, {\"weight\": 6687, \"source\": 2, \"target\": 4}, {\"weight\": 7536, \"source\": 2, \"target\": 3}, {\"weight\": 11221, \"source\": 2, \"target\": 7}, {\"weight\": 7871, \"source\": 2, \"target\": 8}, {\"weight\": 15586, \"source\": 2, \"target\": 5}, {\"weight\": 6074, \"source\": 3, \"target\": 6}, {\"weight\": 13846, \"source\": 3, \"target\": 4}, {\"weight\": 17457, \"source\": 3, \"target\": 7}, {\"weight\": 14994, \"source\": 3, \"target\": 8}, {\"weight\": 9681, \"source\": 3, \"target\": 5}, {\"weight\": 12740, \"source\": 4, \"target\": 6}, {\"weight\": 7780, \"source\": 4, \"target\": 7}, {\"weight\": 4191, \"source\": 4, \"target\": 8}, {\"weight\": 17903, \"source\": 4, \"target\": 5}, {\"weight\": 7839, \"source\": 5, \"target\": 6}, {\"weight\": 15151, \"source\": 5, \"target\": 7}, {\"weight\": 14770, \"source\": 5, \"target\": 8}, {\"weight\": 12360, \"source\": 6, \"target\": 7}, {\"weight\": 10680, \"source\": 6, \"target\": 8}, {\"weight\": 5381, \"source\": 7, \"target\": 8}]}", "id": 1393, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: YBK, BQN, NWI, PBD, YFB, NTN, CGQ, SNP, ALS\n- Travel distances (in kilometers) between each pair of airports:\nYBK to CGQ: 11821\nYBK to YFB: 1377\nYBK to PBD: 15223\nYBK to SNP: 6861\nYBK to NWI: 8064\nYBK to BQN: 6261\nYBK to ALS: 3249\nYBK to NTN: 16984\nBQN to CGQ: 14360\nBQN to YFB: 5157\nBQN to PBD: 15541\nBQN to SNP: 9197\nBQN to NWI: 8153\nBQN to ALS: 4592\nBQN to NTN: 18639\nNWI to CGQ: 8934\nNWI to YFB: 6687\nNWI to PBD: 7536\nNWI to SNP: 11221\nNWI to ALS: 7871\nNWI to NTN: 15586\nPBD to CGQ: 6074\nPBD to YFB: 13846\nPBD to SNP: 17457\nPBD to ALS: 14994\nPBD to NTN: 9681\nYFB to CGQ: 12740\nYFB to SNP: 7780\nYFB to ALS: 4191\nYFB to NTN: 17903\nNTN to CGQ: 7839\nNTN to SNP: 15151\nNTN to ALS: 14770\nCGQ to SNP: 12360\nCGQ to ALS: 10680\nSNP to ALS: 5381\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: AIU, ISA, SZI, DOB, JHW, YUM, LEA, PED, YJT\n- Travel distances (in kilometers) between each pair of airports:\nAIU to YUM: 8137\nAIU to SZI: 17395\nAIU to DOB: 12143\nAIU to LEA: 9578\nAIU to YJT: 13164\nAIU to ISA: 7095\nAIU to JHW: 11282\nAIU to PED: 18734\nISA to YUM: 13485\nISA to SZI: 10923\nISA to DOB: 5374\nISA to LEA: 5042\nISA to YJT: 18512\nISA to JHW: 16630\nISA to PED: 14334\nSZI to YUM: 13604\nSZI to DOB: 10149\nSZI to LEA: 11548\nSZI to YJT: 10041\nSZI to JHW: 11364\nSZI to PED: 4940\nDOB to YUM: 16271\nDOB to LEA: 5898\nDOB to YJT: 18588\nDOB to JHW: 17752\nDOB to PED: 13550\nJHW to YUM: 3275\nJHW to LEA: 19760\nJHW to YJT: 2455\nJHW to PED: 8877\nYUM to LEA: 16615\nYUM to YJT: 5184\nYUM to PED: 11117\nLEA to YJT: 19787\nLEA to PED: 14954\nPED to YJT: 7694\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 54685, "style": "rule" }
{ "exact_answer": 54685, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"AIU\", \"id\": 0}, {\"name\": \"ISA\", \"id\": 1}, {\"name\": \"SZI\", \"id\": 2}, {\"name\": \"DOB\", \"id\": 3}, {\"name\": \"JHW\", \"id\": 4}, {\"name\": \"YUM\", \"id\": 5}, {\"name\": \"LEA\", \"id\": 6}, {\"name\": \"PED\", \"id\": 7}, {\"name\": \"YJT\", \"id\": 8}], \"links\": [{\"weight\": 8137, \"source\": 0, \"target\": 5}, {\"weight\": 17395, \"source\": 0, \"target\": 2}, {\"weight\": 12143, \"source\": 0, \"target\": 3}, {\"weight\": 9578, \"source\": 0, \"target\": 6}, {\"weight\": 13164, \"source\": 0, \"target\": 8}, {\"weight\": 7095, \"source\": 0, \"target\": 1}, {\"weight\": 11282, \"source\": 0, \"target\": 4}, {\"weight\": 18734, \"source\": 0, \"target\": 7}, {\"weight\": 13485, \"source\": 1, \"target\": 5}, {\"weight\": 10923, \"source\": 1, \"target\": 2}, {\"weight\": 5374, \"source\": 1, \"target\": 3}, {\"weight\": 5042, \"source\": 1, \"target\": 6}, {\"weight\": 18512, \"source\": 1, \"target\": 8}, {\"weight\": 16630, \"source\": 1, \"target\": 4}, {\"weight\": 14334, \"source\": 1, \"target\": 7}, {\"weight\": 13604, \"source\": 2, \"target\": 5}, {\"weight\": 10149, \"source\": 2, \"target\": 3}, {\"weight\": 11548, \"source\": 2, \"target\": 6}, {\"weight\": 10041, \"source\": 2, \"target\": 8}, {\"weight\": 11364, \"source\": 2, \"target\": 4}, {\"weight\": 4940, \"source\": 2, \"target\": 7}, {\"weight\": 16271, \"source\": 3, \"target\": 5}, {\"weight\": 5898, \"source\": 3, \"target\": 6}, {\"weight\": 18588, \"source\": 3, \"target\": 8}, {\"weight\": 17752, \"source\": 3, \"target\": 4}, {\"weight\": 13550, \"source\": 3, \"target\": 7}, {\"weight\": 3275, \"source\": 4, \"target\": 5}, {\"weight\": 19760, \"source\": 4, \"target\": 6}, {\"weight\": 2455, \"source\": 4, \"target\": 8}, {\"weight\": 8877, \"source\": 4, \"target\": 7}, {\"weight\": 16615, \"source\": 5, \"target\": 6}, {\"weight\": 5184, \"source\": 5, \"target\": 8}, {\"weight\": 11117, \"source\": 5, \"target\": 7}, {\"weight\": 19787, \"source\": 6, \"target\": 8}, {\"weight\": 14954, \"source\": 6, \"target\": 7}, {\"weight\": 7694, \"source\": 7, \"target\": 8}]}", "id": 1394, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: AIU, ISA, SZI, DOB, JHW, YUM, LEA, PED, YJT\n- Travel distances (in kilometers) between each pair of airports:\nAIU to YUM: 8137\nAIU to SZI: 17395\nAIU to DOB: 12143\nAIU to LEA: 9578\nAIU to YJT: 13164\nAIU to ISA: 7095\nAIU to JHW: 11282\nAIU to PED: 18734\nISA to YUM: 13485\nISA to SZI: 10923\nISA to DOB: 5374\nISA to LEA: 5042\nISA to YJT: 18512\nISA to JHW: 16630\nISA to PED: 14334\nSZI to YUM: 13604\nSZI to DOB: 10149\nSZI to LEA: 11548\nSZI to YJT: 10041\nSZI to JHW: 11364\nSZI to PED: 4940\nDOB to YUM: 16271\nDOB to LEA: 5898\nDOB to YJT: 18588\nDOB to JHW: 17752\nDOB to PED: 13550\nJHW to YUM: 3275\nJHW to LEA: 19760\nJHW to YJT: 2455\nJHW to PED: 8877\nYUM to LEA: 16615\nYUM to YJT: 5184\nYUM to PED: 11117\nLEA to YJT: 19787\nLEA to PED: 14954\nPED to YJT: 7694\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LWO, YOL, CCJ, GRK, YKS, KAZ, KEP, JSI, JUV\n- Travel distances (in kilometers) between each pair of airports:\nLWO to YKS: 6009\nLWO to CCJ: 6578\nLWO to JSI: 1693\nLWO to GRK: 9358\nLWO to JUV: 5109\nLWO to KAZ: 11895\nLWO to YOL: 5729\nLWO to KEP: 6296\nYOL to YKS: 11331\nYOL to CCJ: 8339\nYOL to JSI: 5252\nYOL to GRK: 11762\nYOL to JUV: 9631\nYOL to KAZ: 14274\nYOL to KEP: 9309\nCCJ to YKS: 7787\nCCJ to JSI: 6088\nCCJ to GRK: 15538\nCCJ to JUV: 11538\nCCJ to KAZ: 5941\nCCJ to KEP: 2849\nGRK to YKS: 13564\nGRK to JSI: 10411\nGRK to JUV: 8710\nGRK to KAZ: 16892\nGRK to KEP: 14706\nYKS to JSI: 7245\nYKS to JUV: 9980\nYKS to KAZ: 8575\nYKS to KEP: 6163\nKAZ to JSI: 11879\nKAZ to JUV: 16694\nKAZ to KEP: 6561\nKEP to JSI: 6322\nKEP to JUV: 11128\nJSI to JUV: 6391\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 60529, "style": "rule" }
{ "exact_answer": 60529, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"LWO\", \"id\": 0}, {\"name\": \"YOL\", \"id\": 1}, {\"name\": \"CCJ\", \"id\": 2}, {\"name\": \"GRK\", \"id\": 3}, {\"name\": \"YKS\", \"id\": 4}, {\"name\": \"KAZ\", \"id\": 5}, {\"name\": \"KEP\", \"id\": 6}, {\"name\": \"JSI\", \"id\": 7}, {\"name\": \"JUV\", \"id\": 8}], \"links\": [{\"weight\": 6009, \"source\": 0, \"target\": 4}, {\"weight\": 6578, \"source\": 0, \"target\": 2}, {\"weight\": 1693, \"source\": 0, \"target\": 7}, {\"weight\": 9358, \"source\": 0, \"target\": 3}, {\"weight\": 5109, \"source\": 0, \"target\": 8}, {\"weight\": 11895, \"source\": 0, \"target\": 5}, {\"weight\": 5729, \"source\": 0, \"target\": 1}, {\"weight\": 6296, \"source\": 0, \"target\": 6}, {\"weight\": 11331, \"source\": 1, \"target\": 4}, {\"weight\": 8339, \"source\": 1, \"target\": 2}, {\"weight\": 5252, \"source\": 1, \"target\": 7}, {\"weight\": 11762, \"source\": 1, \"target\": 3}, {\"weight\": 9631, \"source\": 1, \"target\": 8}, {\"weight\": 14274, \"source\": 1, \"target\": 5}, {\"weight\": 9309, \"source\": 1, \"target\": 6}, {\"weight\": 7787, \"source\": 2, \"target\": 4}, {\"weight\": 6088, \"source\": 2, \"target\": 7}, {\"weight\": 15538, \"source\": 2, \"target\": 3}, {\"weight\": 11538, \"source\": 2, \"target\": 8}, {\"weight\": 5941, \"source\": 2, \"target\": 5}, {\"weight\": 2849, \"source\": 2, \"target\": 6}, {\"weight\": 13564, \"source\": 3, \"target\": 4}, {\"weight\": 10411, \"source\": 3, \"target\": 7}, {\"weight\": 8710, \"source\": 3, \"target\": 8}, {\"weight\": 16892, \"source\": 3, \"target\": 5}, {\"weight\": 14706, \"source\": 3, \"target\": 6}, {\"weight\": 7245, \"source\": 4, \"target\": 7}, {\"weight\": 9980, \"source\": 4, \"target\": 8}, {\"weight\": 8575, \"source\": 4, \"target\": 5}, {\"weight\": 6163, \"source\": 4, \"target\": 6}, {\"weight\": 11879, \"source\": 5, \"target\": 7}, {\"weight\": 16694, \"source\": 5, \"target\": 8}, {\"weight\": 6561, \"source\": 5, \"target\": 6}, {\"weight\": 6322, \"source\": 6, \"target\": 7}, {\"weight\": 11128, \"source\": 6, \"target\": 8}, {\"weight\": 6391, \"source\": 7, \"target\": 8}]}", "id": 1395, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LWO, YOL, CCJ, GRK, YKS, KAZ, KEP, JSI, JUV\n- Travel distances (in kilometers) between each pair of airports:\nLWO to YKS: 6009\nLWO to CCJ: 6578\nLWO to JSI: 1693\nLWO to GRK: 9358\nLWO to JUV: 5109\nLWO to KAZ: 11895\nLWO to YOL: 5729\nLWO to KEP: 6296\nYOL to YKS: 11331\nYOL to CCJ: 8339\nYOL to JSI: 5252\nYOL to GRK: 11762\nYOL to JUV: 9631\nYOL to KAZ: 14274\nYOL to KEP: 9309\nCCJ to YKS: 7787\nCCJ to JSI: 6088\nCCJ to GRK: 15538\nCCJ to JUV: 11538\nCCJ to KAZ: 5941\nCCJ to KEP: 2849\nGRK to YKS: 13564\nGRK to JSI: 10411\nGRK to JUV: 8710\nGRK to KAZ: 16892\nGRK to KEP: 14706\nYKS to JSI: 7245\nYKS to JUV: 9980\nYKS to KAZ: 8575\nYKS to KEP: 6163\nKAZ to JSI: 11879\nKAZ to JUV: 16694\nKAZ to KEP: 6561\nKEP to JSI: 6322\nKEP to JUV: 11128\nJSI to JUV: 6391\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TRI, GLT, ACV, CYO, YGR, BUN, WBM, INC, VGZ\n- Travel distances (in kilometers) between each pair of airports:\nTRI to INC: 12571\nTRI to BUN: 3971\nTRI to VGZ: 4277\nTRI to YGR: 2446\nTRI to CYO: 2098\nTRI to WBM: 16329\nTRI to GLT: 15337\nTRI to ACV: 4056\nGLT to INC: 8503\nGLT to BUN: 16962\nGLT to VGZ: 17268\nGLT to YGR: 16867\nGLT to CYO: 16058\nGLT to WBM: 2387\nGLT to ACV: 12244\nACV to INC: 10823\nACV to BUN: 6752\nACV to VGZ: 7058\nACV to YGR: 5254\nACV to CYO: 4870\nACV to WBM: 13312\nCYO to INC: 13978\nCYO to BUN: 2725\nCYO to VGZ: 3031\nCYO to YGR: 3708\nCYO to WBM: 16930\nYGR to INC: 12949\nYGR to BUN: 5775\nYGR to VGZ: 6081\nYGR to WBM: 17396\nBUN to INC: 16182\nBUN to VGZ: 968\nBUN to WBM: 18770\nWBM to INC: 7571\nWBM to VGZ: 19076\nINC to VGZ: 16488\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 50437, "style": "rule" }
{ "exact_answer": 50437, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"TRI\", \"id\": 0}, {\"name\": \"GLT\", \"id\": 1}, {\"name\": \"ACV\", \"id\": 2}, {\"name\": \"CYO\", \"id\": 3}, {\"name\": \"YGR\", \"id\": 4}, {\"name\": \"BUN\", \"id\": 5}, {\"name\": \"WBM\", \"id\": 6}, {\"name\": \"INC\", \"id\": 7}, {\"name\": \"VGZ\", \"id\": 8}], \"links\": [{\"weight\": 12571, \"source\": 0, \"target\": 7}, {\"weight\": 3971, \"source\": 0, \"target\": 5}, {\"weight\": 4277, \"source\": 0, \"target\": 8}, {\"weight\": 2446, \"source\": 0, \"target\": 4}, {\"weight\": 2098, \"source\": 0, \"target\": 3}, {\"weight\": 16329, \"source\": 0, \"target\": 6}, {\"weight\": 15337, \"source\": 0, \"target\": 1}, {\"weight\": 4056, \"source\": 0, \"target\": 2}, {\"weight\": 8503, \"source\": 1, \"target\": 7}, {\"weight\": 16962, \"source\": 1, \"target\": 5}, {\"weight\": 17268, \"source\": 1, \"target\": 8}, {\"weight\": 16867, \"source\": 1, \"target\": 4}, {\"weight\": 16058, \"source\": 1, \"target\": 3}, {\"weight\": 2387, \"source\": 1, \"target\": 6}, {\"weight\": 12244, \"source\": 1, \"target\": 2}, {\"weight\": 10823, \"source\": 2, \"target\": 7}, {\"weight\": 6752, \"source\": 2, \"target\": 5}, {\"weight\": 7058, \"source\": 2, \"target\": 8}, {\"weight\": 5254, \"source\": 2, \"target\": 4}, {\"weight\": 4870, \"source\": 2, \"target\": 3}, {\"weight\": 13312, \"source\": 2, \"target\": 6}, {\"weight\": 13978, \"source\": 3, \"target\": 7}, {\"weight\": 2725, \"source\": 3, \"target\": 5}, {\"weight\": 3031, \"source\": 3, \"target\": 8}, {\"weight\": 3708, \"source\": 3, \"target\": 4}, {\"weight\": 16930, \"source\": 3, \"target\": 6}, {\"weight\": 12949, \"source\": 4, \"target\": 7}, {\"weight\": 5775, \"source\": 4, \"target\": 5}, {\"weight\": 6081, \"source\": 4, \"target\": 8}, {\"weight\": 17396, \"source\": 4, \"target\": 6}, {\"weight\": 16182, \"source\": 5, \"target\": 7}, {\"weight\": 968, \"source\": 5, \"target\": 8}, {\"weight\": 18770, \"source\": 5, \"target\": 6}, {\"weight\": 7571, \"source\": 6, \"target\": 7}, {\"weight\": 19076, \"source\": 6, \"target\": 8}, {\"weight\": 16488, \"source\": 7, \"target\": 8}]}", "id": 1396, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TRI, GLT, ACV, CYO, YGR, BUN, WBM, INC, VGZ\n- Travel distances (in kilometers) between each pair of airports:\nTRI to INC: 12571\nTRI to BUN: 3971\nTRI to VGZ: 4277\nTRI to YGR: 2446\nTRI to CYO: 2098\nTRI to WBM: 16329\nTRI to GLT: 15337\nTRI to ACV: 4056\nGLT to INC: 8503\nGLT to BUN: 16962\nGLT to VGZ: 17268\nGLT to YGR: 16867\nGLT to CYO: 16058\nGLT to WBM: 2387\nGLT to ACV: 12244\nACV to INC: 10823\nACV to BUN: 6752\nACV to VGZ: 7058\nACV to YGR: 5254\nACV to CYO: 4870\nACV to WBM: 13312\nCYO to INC: 13978\nCYO to BUN: 2725\nCYO to VGZ: 3031\nCYO to YGR: 3708\nCYO to WBM: 16930\nYGR to INC: 12949\nYGR to BUN: 5775\nYGR to VGZ: 6081\nYGR to WBM: 17396\nBUN to INC: 16182\nBUN to VGZ: 968\nBUN to WBM: 18770\nWBM to INC: 7571\nWBM to VGZ: 19076\nINC to VGZ: 16488\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: YGJ, LIG, GEL, NDY, MQX, MQJ, LEQ, SPS, MHC\n- Travel distances (in kilometers) between each pair of airports:\nYGJ to SPS: 11149\nYGJ to LIG: 9935\nYGJ to MQX: 10354\nYGJ to LEQ: 10019\nYGJ to MHC: 22266\nYGJ to NDY: 9509\nYGJ to GEL: 19804\nYGJ to MQJ: 4204\nLIG to SPS: 8373\nLIG to MQX: 5981\nLIG to LEQ: 1213\nLIG to MHC: 16108\nLIG to NDY: 1519\nLIG to GEL: 10799\nLIG to MQJ: 8155\nGEL to SPS: 9026\nGEL to MQX: 11631\nGEL to LEQ: 10948\nGEL to MHC: 6519\nGEL to NDY: 11444\nGEL to MQJ: 18397\nNDY to SPS: 7783\nNDY to MQX: 7155\nNDY to LEQ: 1193\nNDY to MHC: 16987\nNDY to MQJ: 7774\nMQX to SPS: 14116\nMQX to LEQ: 6826\nMQX to MHC: 17273\nMQX to MQJ: 10572\nMQJ to SPS: 14337\nMQJ to LEQ: 8271\nMQJ to MHC: 23631\nLEQ to SPS: 7994\nLEQ to MHC: 16392\nSPS to MHC: 12223\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 61887, "style": "rule" }
{ "exact_answer": 61887, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"YGJ\", \"id\": 0}, {\"name\": \"LIG\", \"id\": 1}, {\"name\": \"GEL\", \"id\": 2}, {\"name\": \"NDY\", \"id\": 3}, {\"name\": \"MQX\", \"id\": 4}, {\"name\": \"MQJ\", \"id\": 5}, {\"name\": \"LEQ\", \"id\": 6}, {\"name\": \"SPS\", \"id\": 7}, {\"name\": \"MHC\", \"id\": 8}], \"links\": [{\"weight\": 11149, \"source\": 0, \"target\": 7}, {\"weight\": 9935, \"source\": 0, \"target\": 1}, {\"weight\": 10354, \"source\": 0, \"target\": 4}, {\"weight\": 10019, \"source\": 0, \"target\": 6}, {\"weight\": 22266, \"source\": 0, \"target\": 8}, {\"weight\": 9509, \"source\": 0, \"target\": 3}, {\"weight\": 19804, \"source\": 0, \"target\": 2}, {\"weight\": 4204, \"source\": 0, \"target\": 5}, {\"weight\": 8373, \"source\": 1, \"target\": 7}, {\"weight\": 5981, \"source\": 1, \"target\": 4}, {\"weight\": 1213, \"source\": 1, \"target\": 6}, {\"weight\": 16108, \"source\": 1, \"target\": 8}, {\"weight\": 1519, \"source\": 1, \"target\": 3}, {\"weight\": 10799, \"source\": 1, \"target\": 2}, {\"weight\": 8155, \"source\": 1, \"target\": 5}, {\"weight\": 9026, \"source\": 2, \"target\": 7}, {\"weight\": 11631, \"source\": 2, \"target\": 4}, {\"weight\": 10948, \"source\": 2, \"target\": 6}, {\"weight\": 6519, \"source\": 2, \"target\": 8}, {\"weight\": 11444, \"source\": 2, \"target\": 3}, {\"weight\": 18397, \"source\": 2, \"target\": 5}, {\"weight\": 7783, \"source\": 3, \"target\": 7}, {\"weight\": 7155, \"source\": 3, \"target\": 4}, {\"weight\": 1193, \"source\": 3, \"target\": 6}, {\"weight\": 16987, \"source\": 3, \"target\": 8}, {\"weight\": 7774, \"source\": 3, \"target\": 5}, {\"weight\": 14116, \"source\": 4, \"target\": 7}, {\"weight\": 6826, \"source\": 4, \"target\": 6}, {\"weight\": 17273, \"source\": 4, \"target\": 8}, {\"weight\": 10572, \"source\": 4, \"target\": 5}, {\"weight\": 14337, \"source\": 5, \"target\": 7}, {\"weight\": 8271, \"source\": 5, \"target\": 6}, {\"weight\": 23631, \"source\": 5, \"target\": 8}, {\"weight\": 7994, \"source\": 6, \"target\": 7}, {\"weight\": 16392, \"source\": 6, \"target\": 8}, {\"weight\": 12223, \"source\": 7, \"target\": 8}]}", "id": 1397, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: YGJ, LIG, GEL, NDY, MQX, MQJ, LEQ, SPS, MHC\n- Travel distances (in kilometers) between each pair of airports:\nYGJ to SPS: 11149\nYGJ to LIG: 9935\nYGJ to MQX: 10354\nYGJ to LEQ: 10019\nYGJ to MHC: 22266\nYGJ to NDY: 9509\nYGJ to GEL: 19804\nYGJ to MQJ: 4204\nLIG to SPS: 8373\nLIG to MQX: 5981\nLIG to LEQ: 1213\nLIG to MHC: 16108\nLIG to NDY: 1519\nLIG to GEL: 10799\nLIG to MQJ: 8155\nGEL to SPS: 9026\nGEL to MQX: 11631\nGEL to LEQ: 10948\nGEL to MHC: 6519\nGEL to NDY: 11444\nGEL to MQJ: 18397\nNDY to SPS: 7783\nNDY to MQX: 7155\nNDY to LEQ: 1193\nNDY to MHC: 16987\nNDY to MQJ: 7774\nMQX to SPS: 14116\nMQX to LEQ: 6826\nMQX to MHC: 17273\nMQX to MQJ: 10572\nMQJ to SPS: 14337\nMQJ to LEQ: 8271\nMQJ to MHC: 23631\nLEQ to SPS: 7994\nLEQ to MHC: 16392\nSPS to MHC: 12223\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PXM, PBZ, SYQ, BZL, MCI, AJL, HDG, SPP, JPR\n- Travel distances (in kilometers) between each pair of airports:\nPXM to HDG: 13677\nPXM to BZL: 16369\nPXM to SYQ: 2370\nPXM to PBZ: 16322\nPXM to AJL: 16931\nPXM to MCI: 2698\nPXM to JPR: 8110\nPXM to SPP: 13987\nPBZ to HDG: 12517\nPBZ to BZL: 9968\nPBZ to SYQ: 14360\nPBZ to AJL: 10090\nPBZ to MCI: 15392\nPBZ to JPR: 10586\nPBZ to SPP: 3318\nSYQ to HDG: 15032\nSYQ to BZL: 16997\nSYQ to AJL: 17201\nSYQ to MCI: 3588\nSYQ to JPR: 6114\nSYQ to SPP: 13130\nBZL to HDG: 3076\nBZL to AJL: 815\nBZL to MCI: 14208\nBZL to JPR: 17870\nBZL to SPP: 10094\nMCI to HDG: 11899\nMCI to AJL: 14412\nMCI to JPR: 8612\nMCI to SPP: 13219\nAJL to HDG: 3641\nAJL to JPR: 17992\nAJL to SPP: 10216\nHDG to JPR: 19752\nHDG to SPP: 12641\nSPP to JPR: 9388\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 49768, "style": "rule" }
{ "exact_answer": 49768, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"PXM\", \"id\": 0}, {\"name\": \"PBZ\", \"id\": 1}, {\"name\": \"SYQ\", \"id\": 2}, {\"name\": \"BZL\", \"id\": 3}, {\"name\": \"MCI\", \"id\": 4}, {\"name\": \"AJL\", \"id\": 5}, {\"name\": \"HDG\", \"id\": 6}, {\"name\": \"SPP\", \"id\": 7}, {\"name\": \"JPR\", \"id\": 8}], \"links\": [{\"weight\": 13677, \"source\": 0, \"target\": 6}, {\"weight\": 16369, \"source\": 0, \"target\": 3}, {\"weight\": 2370, \"source\": 0, \"target\": 2}, {\"weight\": 16322, \"source\": 0, \"target\": 1}, {\"weight\": 16931, \"source\": 0, \"target\": 5}, {\"weight\": 2698, \"source\": 0, \"target\": 4}, {\"weight\": 8110, \"source\": 0, \"target\": 8}, {\"weight\": 13987, \"source\": 0, \"target\": 7}, {\"weight\": 12517, \"source\": 1, \"target\": 6}, {\"weight\": 9968, \"source\": 1, \"target\": 3}, {\"weight\": 14360, \"source\": 1, \"target\": 2}, {\"weight\": 10090, \"source\": 1, \"target\": 5}, {\"weight\": 15392, \"source\": 1, \"target\": 4}, {\"weight\": 10586, \"source\": 1, \"target\": 8}, {\"weight\": 3318, \"source\": 1, \"target\": 7}, {\"weight\": 15032, \"source\": 2, \"target\": 6}, {\"weight\": 16997, \"source\": 2, \"target\": 3}, {\"weight\": 17201, \"source\": 2, \"target\": 5}, {\"weight\": 3588, \"source\": 2, \"target\": 4}, {\"weight\": 6114, \"source\": 2, \"target\": 8}, {\"weight\": 13130, \"source\": 2, \"target\": 7}, {\"weight\": 3076, \"source\": 3, \"target\": 6}, {\"weight\": 815, \"source\": 3, \"target\": 5}, {\"weight\": 14208, \"source\": 3, \"target\": 4}, {\"weight\": 17870, \"source\": 3, \"target\": 8}, {\"weight\": 10094, \"source\": 3, \"target\": 7}, {\"weight\": 11899, \"source\": 4, \"target\": 6}, {\"weight\": 14412, \"source\": 4, \"target\": 5}, {\"weight\": 8612, \"source\": 4, \"target\": 8}, {\"weight\": 13219, \"source\": 4, \"target\": 7}, {\"weight\": 3641, \"source\": 5, \"target\": 6}, {\"weight\": 17992, \"source\": 5, \"target\": 8}, {\"weight\": 10216, \"source\": 5, \"target\": 7}, {\"weight\": 19752, \"source\": 6, \"target\": 8}, {\"weight\": 12641, \"source\": 6, \"target\": 7}, {\"weight\": 9388, \"source\": 7, \"target\": 8}]}", "id": 1398, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PXM, PBZ, SYQ, BZL, MCI, AJL, HDG, SPP, JPR\n- Travel distances (in kilometers) between each pair of airports:\nPXM to HDG: 13677\nPXM to BZL: 16369\nPXM to SYQ: 2370\nPXM to PBZ: 16322\nPXM to AJL: 16931\nPXM to MCI: 2698\nPXM to JPR: 8110\nPXM to SPP: 13987\nPBZ to HDG: 12517\nPBZ to BZL: 9968\nPBZ to SYQ: 14360\nPBZ to AJL: 10090\nPBZ to MCI: 15392\nPBZ to JPR: 10586\nPBZ to SPP: 3318\nSYQ to HDG: 15032\nSYQ to BZL: 16997\nSYQ to AJL: 17201\nSYQ to MCI: 3588\nSYQ to JPR: 6114\nSYQ to SPP: 13130\nBZL to HDG: 3076\nBZL to AJL: 815\nBZL to MCI: 14208\nBZL to JPR: 17870\nBZL to SPP: 10094\nMCI to HDG: 11899\nMCI to AJL: 14412\nMCI to JPR: 8612\nMCI to SPP: 13219\nAJL to HDG: 3641\nAJL to JPR: 17992\nAJL to SPP: 10216\nHDG to JPR: 19752\nHDG to SPP: 12641\nSPP to JPR: 9388\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP
[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: JQE, GPB, BJF, YMO, FAR, ANI, KPB, GYN, HFE\n- Travel distances (in kilometers) between each pair of airports:\nJQE to GYN: 5885\nJQE to HFE: 15644\nJQE to ANI: 9007\nJQE to FAR: 5170\nJQE to KPB: 7517\nJQE to GPB: 6896\nJQE to BJF: 11291\nJQE to YMO: 5383\nGPB to GYN: 1268\nGPB to HFE: 18794\nGPB to ANI: 13817\nGPB to FAR: 9613\nGPB to KPB: 12481\nGPB to BJF: 12724\nGPB to YMO: 9655\nBJF to GYN: 11688\nBJF to HFE: 8965\nBJF to ANI: 11485\nBJF to FAR: 8455\nBJF to KPB: 9904\nBJF to YMO: 7876\nYMO to GYN: 8537\nYMO to HFE: 12351\nYMO to ANI: 6244\nYMO to FAR: 2313\nYMO to KPB: 4663\nFAR to GYN: 8698\nFAR to HFE: 11889\nFAR to ANI: 4910\nFAR to KPB: 3750\nANI to GYN: 12902\nANI to HFE: 12256\nANI to KPB: 1963\nKPB to GYN: 11603\nKPB to HFE: 10675\nGYN to HFE: 18005\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]
{ "ground_truth": 54061, "style": "rule" }
{ "exact_answer": 54061, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"JQE\", \"id\": 0}, {\"name\": \"GPB\", \"id\": 1}, {\"name\": \"BJF\", \"id\": 2}, {\"name\": \"YMO\", \"id\": 3}, {\"name\": \"FAR\", \"id\": 4}, {\"name\": \"ANI\", \"id\": 5}, {\"name\": \"KPB\", \"id\": 6}, {\"name\": \"GYN\", \"id\": 7}, {\"name\": \"HFE\", \"id\": 8}], \"links\": [{\"weight\": 5885, \"source\": 0, \"target\": 7}, {\"weight\": 15644, \"source\": 0, \"target\": 8}, {\"weight\": 9007, \"source\": 0, \"target\": 5}, {\"weight\": 5170, \"source\": 0, \"target\": 4}, {\"weight\": 7517, \"source\": 0, \"target\": 6}, {\"weight\": 6896, \"source\": 0, \"target\": 1}, {\"weight\": 11291, \"source\": 0, \"target\": 2}, {\"weight\": 5383, \"source\": 0, \"target\": 3}, {\"weight\": 1268, \"source\": 1, \"target\": 7}, {\"weight\": 18794, \"source\": 1, \"target\": 8}, {\"weight\": 13817, \"source\": 1, \"target\": 5}, {\"weight\": 9613, \"source\": 1, \"target\": 4}, {\"weight\": 12481, \"source\": 1, \"target\": 6}, {\"weight\": 12724, \"source\": 1, \"target\": 2}, {\"weight\": 9655, \"source\": 1, \"target\": 3}, {\"weight\": 11688, \"source\": 2, \"target\": 7}, {\"weight\": 8965, \"source\": 2, \"target\": 8}, {\"weight\": 11485, \"source\": 2, \"target\": 5}, {\"weight\": 8455, \"source\": 2, \"target\": 4}, {\"weight\": 9904, \"source\": 2, \"target\": 6}, {\"weight\": 7876, \"source\": 2, \"target\": 3}, {\"weight\": 8537, \"source\": 3, \"target\": 7}, {\"weight\": 12351, \"source\": 3, \"target\": 8}, {\"weight\": 6244, \"source\": 3, \"target\": 5}, {\"weight\": 2313, \"source\": 3, \"target\": 4}, {\"weight\": 4663, \"source\": 3, \"target\": 6}, {\"weight\": 8698, \"source\": 4, \"target\": 7}, {\"weight\": 11889, \"source\": 4, \"target\": 8}, {\"weight\": 4910, \"source\": 4, \"target\": 5}, {\"weight\": 3750, \"source\": 4, \"target\": 6}, {\"weight\": 12902, \"source\": 5, \"target\": 7}, {\"weight\": 12256, \"source\": 5, \"target\": 8}, {\"weight\": 1963, \"source\": 5, \"target\": 6}, {\"weight\": 11603, \"source\": 6, \"target\": 7}, {\"weight\": 10675, \"source\": 6, \"target\": 8}, {\"weight\": 18005, \"source\": 7, \"target\": 8}]}", "id": 1399, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: JQE, GPB, BJF, YMO, FAR, ANI, KPB, GYN, HFE\n- Travel distances (in kilometers) between each pair of airports:\nJQE to GYN: 5885\nJQE to HFE: 15644\nJQE to ANI: 9007\nJQE to FAR: 5170\nJQE to KPB: 7517\nJQE to GPB: 6896\nJQE to BJF: 11291\nJQE to YMO: 5383\nGPB to GYN: 1268\nGPB to HFE: 18794\nGPB to ANI: 13817\nGPB to FAR: 9613\nGPB to KPB: 12481\nGPB to BJF: 12724\nGPB to YMO: 9655\nBJF to GYN: 11688\nBJF to HFE: 8965\nBJF to ANI: 11485\nBJF to FAR: 8455\nBJF to KPB: 9904\nBJF to YMO: 7876\nYMO to GYN: 8537\nYMO to HFE: 12351\nYMO to ANI: 6244\nYMO to FAR: 2313\nYMO to KPB: 4663\nFAR to GYN: 8698\nFAR to HFE: 11889\nFAR to ANI: 4910\nFAR to KPB: 3750\nANI to GYN: 12902\nANI to HFE: 12256\nANI to KPB: 1963\nKPB to GYN: 11603\nKPB to HFE: 10675\nGYN to HFE: 18005\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }