data_source
stringclasses 3
values | prompt
listlengths 2
2
| reward_model
dict | extra_info
dict |
|---|---|---|---|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: DOM, ORX, IAS, KIH, ZGU, FLW, PNL, LGQ, SSG\n- Travel distances (in kilometers) between each pair of airports:\nDOM to SSG: 10046\nDOM to IAS: 8720\nDOM to KIH: 11931\nDOM to LGQ: 2933\nDOM to PNL: 8458\nDOM to ORX: 3012\nDOM to ZGU: 16309\nDOM to FLW: 7496\nORX to SSG: 8394\nORX to IAS: 10562\nORX to KIH: 13091\nORX to LGQ: 4468\nORX to PNL: 9370\nORX to ZGU: 18218\nORX to FLW: 8339\nIAS to SSG: 5386\nIAS to KIH: 3628\nIAS to LGQ: 11415\nIAS to PNL: 1798\nIAS to ZGU: 16941\nIAS to FLW: 4904\nKIH to SSG: 5817\nKIH to LGQ: 14498\nKIH to PNL: 4458\nKIH to ZGU: 14085\nKIH to FLW: 7923\nZGU to SSG: 17843\nZGU to LGQ: 16081\nZGU to PNL: 17816\nZGU to FLW: 18789\nFLW to SSG: 6229\nFLW to LGQ: 9096\nFLW to PNL: 3931\nPNL to SSG: 4988\nPNL to LGQ: 10477\nLGQ to SSG: 11518\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 60091,
"style": "rule"
}
|
{
"exact_answer": 60091,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"DOM\", \"id\": 0}, {\"name\": \"ORX\", \"id\": 1}, {\"name\": \"IAS\", \"id\": 2}, {\"name\": \"KIH\", \"id\": 3}, {\"name\": \"ZGU\", \"id\": 4}, {\"name\": \"FLW\", \"id\": 5}, {\"name\": \"PNL\", \"id\": 6}, {\"name\": \"LGQ\", \"id\": 7}, {\"name\": \"SSG\", \"id\": 8}], \"links\": [{\"weight\": 10046, \"source\": 0, \"target\": 8}, {\"weight\": 8720, \"source\": 0, \"target\": 2}, {\"weight\": 11931, \"source\": 0, \"target\": 3}, {\"weight\": 2933, \"source\": 0, \"target\": 7}, {\"weight\": 8458, \"source\": 0, \"target\": 6}, {\"weight\": 3012, \"source\": 0, \"target\": 1}, {\"weight\": 16309, \"source\": 0, \"target\": 4}, {\"weight\": 7496, \"source\": 0, \"target\": 5}, {\"weight\": 8394, \"source\": 1, \"target\": 8}, {\"weight\": 10562, \"source\": 1, \"target\": 2}, {\"weight\": 13091, \"source\": 1, \"target\": 3}, {\"weight\": 4468, \"source\": 1, \"target\": 7}, {\"weight\": 9370, \"source\": 1, \"target\": 6}, {\"weight\": 18218, \"source\": 1, \"target\": 4}, {\"weight\": 8339, \"source\": 1, \"target\": 5}, {\"weight\": 5386, \"source\": 2, \"target\": 8}, {\"weight\": 3628, \"source\": 2, \"target\": 3}, {\"weight\": 11415, \"source\": 2, \"target\": 7}, {\"weight\": 1798, \"source\": 2, \"target\": 6}, {\"weight\": 16941, \"source\": 2, \"target\": 4}, {\"weight\": 4904, \"source\": 2, \"target\": 5}, {\"weight\": 5817, \"source\": 3, \"target\": 8}, {\"weight\": 14498, \"source\": 3, \"target\": 7}, {\"weight\": 4458, \"source\": 3, \"target\": 6}, {\"weight\": 14085, \"source\": 3, \"target\": 4}, {\"weight\": 7923, \"source\": 3, \"target\": 5}, {\"weight\": 17843, \"source\": 4, \"target\": 8}, {\"weight\": 16081, \"source\": 4, \"target\": 7}, {\"weight\": 17816, \"source\": 4, \"target\": 6}, {\"weight\": 18789, \"source\": 4, \"target\": 5}, {\"weight\": 6229, \"source\": 5, \"target\": 8}, {\"weight\": 9096, \"source\": 5, \"target\": 7}, {\"weight\": 3931, \"source\": 5, \"target\": 6}, {\"weight\": 4988, \"source\": 6, \"target\": 8}, {\"weight\": 10477, \"source\": 6, \"target\": 7}, {\"weight\": 11518, \"source\": 7, \"target\": 8}]}",
"id": 800,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: DOM, ORX, IAS, KIH, ZGU, FLW, PNL, LGQ, SSG\n- Travel distances (in kilometers) between each pair of airports:\nDOM to SSG: 10046\nDOM to IAS: 8720\nDOM to KIH: 11931\nDOM to LGQ: 2933\nDOM to PNL: 8458\nDOM to ORX: 3012\nDOM to ZGU: 16309\nDOM to FLW: 7496\nORX to SSG: 8394\nORX to IAS: 10562\nORX to KIH: 13091\nORX to LGQ: 4468\nORX to PNL: 9370\nORX to ZGU: 18218\nORX to FLW: 8339\nIAS to SSG: 5386\nIAS to KIH: 3628\nIAS to LGQ: 11415\nIAS to PNL: 1798\nIAS to ZGU: 16941\nIAS to FLW: 4904\nKIH to SSG: 5817\nKIH to LGQ: 14498\nKIH to PNL: 4458\nKIH to ZGU: 14085\nKIH to FLW: 7923\nZGU to SSG: 17843\nZGU to LGQ: 16081\nZGU to PNL: 17816\nZGU to FLW: 18789\nFLW to SSG: 6229\nFLW to LGQ: 9096\nFLW to PNL: 3931\nPNL to SSG: 4988\nPNL to LGQ: 10477\nLGQ to SSG: 11518\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: IXB, DXB, IRK, IAG, OSI, AUA, BXU, BCV, ASV\n- Travel distances (in kilometers) between each pair of airports:\nIXB to BXU: 4881\nIXB to DXB: 3308\nIXB to AUA: 15365\nIXB to IRK: 13799\nIXB to BCV: 15853\nIXB to ASV: 7045\nIXB to OSI: 7005\nIXB to IAG: 14821\nDXB to BXU: 7691\nDXB to AUA: 12943\nDXB to IRK: 12294\nDXB to BCV: 13895\nDXB to ASV: 3738\nDXB to OSI: 4300\nDXB to IAG: 12937\nIRK to BXU: 14014\nIRK to AUA: 3781\nIRK to BCV: 2710\nIRK to ASV: 14415\nIRK to OSI: 8552\nIRK to IAG: 2462\nIAG to BXU: 15835\nIAG to AUA: 3741\nIAG to BCV: 3242\nIAG to ASV: 14704\nIAG to OSI: 9040\nOSI to BXU: 11125\nOSI to AUA: 9055\nOSI to BCV: 9957\nOSI to ASV: 6304\nAUA to BXU: 17271\nAUA to BCV: 2550\nAUA to ASV: 13974\nBXU to BCV: 15784\nBXU to ASV: 10820\nBCV to ASV: 15323\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 49554,
"style": "rule"
}
|
{
"exact_answer": 49554,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"IXB\", \"id\": 0}, {\"name\": \"DXB\", \"id\": 1}, {\"name\": \"IRK\", \"id\": 2}, {\"name\": \"IAG\", \"id\": 3}, {\"name\": \"OSI\", \"id\": 4}, {\"name\": \"AUA\", \"id\": 5}, {\"name\": \"BXU\", \"id\": 6}, {\"name\": \"BCV\", \"id\": 7}, {\"name\": \"ASV\", \"id\": 8}], \"links\": [{\"weight\": 4881, \"source\": 0, \"target\": 6}, {\"weight\": 3308, \"source\": 0, \"target\": 1}, {\"weight\": 15365, \"source\": 0, \"target\": 5}, {\"weight\": 13799, \"source\": 0, \"target\": 2}, {\"weight\": 15853, \"source\": 0, \"target\": 7}, {\"weight\": 7045, \"source\": 0, \"target\": 8}, {\"weight\": 7005, \"source\": 0, \"target\": 4}, {\"weight\": 14821, \"source\": 0, \"target\": 3}, {\"weight\": 7691, \"source\": 1, \"target\": 6}, {\"weight\": 12943, \"source\": 1, \"target\": 5}, {\"weight\": 12294, \"source\": 1, \"target\": 2}, {\"weight\": 13895, \"source\": 1, \"target\": 7}, {\"weight\": 3738, \"source\": 1, \"target\": 8}, {\"weight\": 4300, \"source\": 1, \"target\": 4}, {\"weight\": 12937, \"source\": 1, \"target\": 3}, {\"weight\": 14014, \"source\": 2, \"target\": 6}, {\"weight\": 3781, \"source\": 2, \"target\": 5}, {\"weight\": 2710, \"source\": 2, \"target\": 7}, {\"weight\": 14415, \"source\": 2, \"target\": 8}, {\"weight\": 8552, \"source\": 2, \"target\": 4}, {\"weight\": 2462, \"source\": 2, \"target\": 3}, {\"weight\": 15835, \"source\": 3, \"target\": 6}, {\"weight\": 3741, \"source\": 3, \"target\": 5}, {\"weight\": 3242, \"source\": 3, \"target\": 7}, {\"weight\": 14704, \"source\": 3, \"target\": 8}, {\"weight\": 9040, \"source\": 3, \"target\": 4}, {\"weight\": 11125, \"source\": 4, \"target\": 6}, {\"weight\": 9055, \"source\": 4, \"target\": 5}, {\"weight\": 9957, \"source\": 4, \"target\": 7}, {\"weight\": 6304, \"source\": 4, \"target\": 8}, {\"weight\": 17271, \"source\": 5, \"target\": 6}, {\"weight\": 2550, \"source\": 5, \"target\": 7}, {\"weight\": 13974, \"source\": 5, \"target\": 8}, {\"weight\": 15784, \"source\": 6, \"target\": 7}, {\"weight\": 10820, \"source\": 6, \"target\": 8}, {\"weight\": 15323, \"source\": 7, \"target\": 8}]}",
"id": 801,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: IXB, DXB, IRK, IAG, OSI, AUA, BXU, BCV, ASV\n- Travel distances (in kilometers) between each pair of airports:\nIXB to BXU: 4881\nIXB to DXB: 3308\nIXB to AUA: 15365\nIXB to IRK: 13799\nIXB to BCV: 15853\nIXB to ASV: 7045\nIXB to OSI: 7005\nIXB to IAG: 14821\nDXB to BXU: 7691\nDXB to AUA: 12943\nDXB to IRK: 12294\nDXB to BCV: 13895\nDXB to ASV: 3738\nDXB to OSI: 4300\nDXB to IAG: 12937\nIRK to BXU: 14014\nIRK to AUA: 3781\nIRK to BCV: 2710\nIRK to ASV: 14415\nIRK to OSI: 8552\nIRK to IAG: 2462\nIAG to BXU: 15835\nIAG to AUA: 3741\nIAG to BCV: 3242\nIAG to ASV: 14704\nIAG to OSI: 9040\nOSI to BXU: 11125\nOSI to AUA: 9055\nOSI to BCV: 9957\nOSI to ASV: 6304\nAUA to BXU: 17271\nAUA to BCV: 2550\nAUA to ASV: 13974\nBXU to BCV: 15784\nBXU to ASV: 10820\nBCV to ASV: 15323\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TGR, SOJ, KTW, ANI, SHC, SNU, HET, BNA, GPT\n- Travel distances (in kilometers) between each pair of airports:\nTGR to HET: 9472\nTGR to KTW: 2564\nTGR to ANI: 12644\nTGR to BNA: 8192\nTGR to GPT: 8730\nTGR to SNU: 8924\nTGR to SHC: 6315\nTGR to SOJ: 4346\nSOJ to HET: 7823\nSOJ to KTW: 2277\nSOJ to ANI: 11132\nSOJ to BNA: 7687\nSOJ to GPT: 8403\nSOJ to SNU: 9011\nSOJ to SHC: 7751\nKTW to HET: 7127\nKTW to ANI: 11503\nKTW to BNA: 8049\nKTW to GPT: 8644\nKTW to SNU: 8796\nKTW to SHC: 5678\nANI to HET: 11926\nANI to BNA: 5671\nANI to GPT: 6208\nANI to SNU: 7829\nANI to SHC: 17037\nSHC to HET: 8804\nSHC to BNA: 13090\nSHC to GPT: 13642\nSHC to SNU: 14064\nSNU to HET: 13328\nSNU to BNA: 2322\nSNU to GPT: 2543\nHET to BNA: 11633\nHET to GPT: 12515\nBNA to GPT: 909\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 50020,
"style": "rule"
}
|
{
"exact_answer": 50020,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"TGR\", \"id\": 0}, {\"name\": \"SOJ\", \"id\": 1}, {\"name\": \"KTW\", \"id\": 2}, {\"name\": \"ANI\", \"id\": 3}, {\"name\": \"SHC\", \"id\": 4}, {\"name\": \"SNU\", \"id\": 5}, {\"name\": \"HET\", \"id\": 6}, {\"name\": \"BNA\", \"id\": 7}, {\"name\": \"GPT\", \"id\": 8}], \"links\": [{\"weight\": 9472, \"source\": 0, \"target\": 6}, {\"weight\": 2564, \"source\": 0, \"target\": 2}, {\"weight\": 12644, \"source\": 0, \"target\": 3}, {\"weight\": 8192, \"source\": 0, \"target\": 7}, {\"weight\": 8730, \"source\": 0, \"target\": 8}, {\"weight\": 8924, \"source\": 0, \"target\": 5}, {\"weight\": 6315, \"source\": 0, \"target\": 4}, {\"weight\": 4346, \"source\": 0, \"target\": 1}, {\"weight\": 7823, \"source\": 1, \"target\": 6}, {\"weight\": 2277, \"source\": 1, \"target\": 2}, {\"weight\": 11132, \"source\": 1, \"target\": 3}, {\"weight\": 7687, \"source\": 1, \"target\": 7}, {\"weight\": 8403, \"source\": 1, \"target\": 8}, {\"weight\": 9011, \"source\": 1, \"target\": 5}, {\"weight\": 7751, \"source\": 1, \"target\": 4}, {\"weight\": 7127, \"source\": 2, \"target\": 6}, {\"weight\": 11503, \"source\": 2, \"target\": 3}, {\"weight\": 8049, \"source\": 2, \"target\": 7}, {\"weight\": 8644, \"source\": 2, \"target\": 8}, {\"weight\": 8796, \"source\": 2, \"target\": 5}, {\"weight\": 5678, \"source\": 2, \"target\": 4}, {\"weight\": 11926, \"source\": 3, \"target\": 6}, {\"weight\": 5671, \"source\": 3, \"target\": 7}, {\"weight\": 6208, \"source\": 3, \"target\": 8}, {\"weight\": 7829, \"source\": 3, \"target\": 5}, {\"weight\": 17037, \"source\": 3, \"target\": 4}, {\"weight\": 8804, \"source\": 4, \"target\": 6}, {\"weight\": 13090, \"source\": 4, \"target\": 7}, {\"weight\": 13642, \"source\": 4, \"target\": 8}, {\"weight\": 14064, \"source\": 4, \"target\": 5}, {\"weight\": 13328, \"source\": 5, \"target\": 6}, {\"weight\": 2322, \"source\": 5, \"target\": 7}, {\"weight\": 2543, \"source\": 5, \"target\": 8}, {\"weight\": 11633, \"source\": 6, \"target\": 7}, {\"weight\": 12515, \"source\": 6, \"target\": 8}, {\"weight\": 909, \"source\": 7, \"target\": 8}]}",
"id": 802,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TGR, SOJ, KTW, ANI, SHC, SNU, HET, BNA, GPT\n- Travel distances (in kilometers) between each pair of airports:\nTGR to HET: 9472\nTGR to KTW: 2564\nTGR to ANI: 12644\nTGR to BNA: 8192\nTGR to GPT: 8730\nTGR to SNU: 8924\nTGR to SHC: 6315\nTGR to SOJ: 4346\nSOJ to HET: 7823\nSOJ to KTW: 2277\nSOJ to ANI: 11132\nSOJ to BNA: 7687\nSOJ to GPT: 8403\nSOJ to SNU: 9011\nSOJ to SHC: 7751\nKTW to HET: 7127\nKTW to ANI: 11503\nKTW to BNA: 8049\nKTW to GPT: 8644\nKTW to SNU: 8796\nKTW to SHC: 5678\nANI to HET: 11926\nANI to BNA: 5671\nANI to GPT: 6208\nANI to SNU: 7829\nANI to SHC: 17037\nSHC to HET: 8804\nSHC to BNA: 13090\nSHC to GPT: 13642\nSHC to SNU: 14064\nSNU to HET: 13328\nSNU to BNA: 2322\nSNU to GPT: 2543\nHET to BNA: 11633\nHET to GPT: 12515\nBNA to GPT: 909\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PAG, XRY, YQX, MDU, YZG, XMN, TSR, XEQ, JKL\n- Travel distances (in kilometers) between each pair of airports:\nPAG to YZG: 15071\nPAG to XMN: 1944\nPAG to XRY: 12874\nPAG to JKL: 10781\nPAG to YQX: 15468\nPAG to TSR: 10788\nPAG to XEQ: 14210\nPAG to MDU: 4197\nXRY to YZG: 7684\nXRY to XMN: 11109\nXRY to JKL: 3041\nXRY to YQX: 5626\nXRY to TSR: 2491\nXRY to XEQ: 5521\nXRY to MDU: 16539\nYQX to YZG: 2344\nYQX to XMN: 13591\nYQX to JKL: 6626\nYQX to TSR: 5629\nYQX to XEQ: 7375\nYQX to MDU: 17851\nMDU to YZG: 17125\nMDU to XMN: 5620\nMDU to JKL: 14446\nMDU to TSR: 14453\nMDU to XEQ: 17875\nYZG to XMN: 13980\nYZG to JKL: 8970\nYZG to TSR: 7973\nYZG to XEQ: 8362\nXMN to JKL: 9068\nXMN to TSR: 9075\nXMN to XEQ: 12298\nTSR to JKL: 1442\nTSR to XEQ: 5489\nXEQ to JKL: 6506\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 51507,
"style": "rule"
}
|
{
"exact_answer": 51507,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"PAG\", \"id\": 0}, {\"name\": \"XRY\", \"id\": 1}, {\"name\": \"YQX\", \"id\": 2}, {\"name\": \"MDU\", \"id\": 3}, {\"name\": \"YZG\", \"id\": 4}, {\"name\": \"XMN\", \"id\": 5}, {\"name\": \"TSR\", \"id\": 6}, {\"name\": \"XEQ\", \"id\": 7}, {\"name\": \"JKL\", \"id\": 8}], \"links\": [{\"weight\": 15071, \"source\": 0, \"target\": 4}, {\"weight\": 1944, \"source\": 0, \"target\": 5}, {\"weight\": 12874, \"source\": 0, \"target\": 1}, {\"weight\": 10781, \"source\": 0, \"target\": 8}, {\"weight\": 15468, \"source\": 0, \"target\": 2}, {\"weight\": 10788, \"source\": 0, \"target\": 6}, {\"weight\": 14210, \"source\": 0, \"target\": 7}, {\"weight\": 4197, \"source\": 0, \"target\": 3}, {\"weight\": 7684, \"source\": 1, \"target\": 4}, {\"weight\": 11109, \"source\": 1, \"target\": 5}, {\"weight\": 3041, \"source\": 1, \"target\": 8}, {\"weight\": 5626, \"source\": 1, \"target\": 2}, {\"weight\": 2491, \"source\": 1, \"target\": 6}, {\"weight\": 5521, \"source\": 1, \"target\": 7}, {\"weight\": 16539, \"source\": 1, \"target\": 3}, {\"weight\": 2344, \"source\": 2, \"target\": 4}, {\"weight\": 13591, \"source\": 2, \"target\": 5}, {\"weight\": 6626, \"source\": 2, \"target\": 8}, {\"weight\": 5629, \"source\": 2, \"target\": 6}, {\"weight\": 7375, \"source\": 2, \"target\": 7}, {\"weight\": 17851, \"source\": 2, \"target\": 3}, {\"weight\": 17125, \"source\": 3, \"target\": 4}, {\"weight\": 5620, \"source\": 3, \"target\": 5}, {\"weight\": 14446, \"source\": 3, \"target\": 8}, {\"weight\": 14453, \"source\": 3, \"target\": 6}, {\"weight\": 17875, \"source\": 3, \"target\": 7}, {\"weight\": 13980, \"source\": 4, \"target\": 5}, {\"weight\": 8970, \"source\": 4, \"target\": 8}, {\"weight\": 7973, \"source\": 4, \"target\": 6}, {\"weight\": 8362, \"source\": 4, \"target\": 7}, {\"weight\": 9068, \"source\": 5, \"target\": 8}, {\"weight\": 9075, \"source\": 5, \"target\": 6}, {\"weight\": 12298, \"source\": 5, \"target\": 7}, {\"weight\": 1442, \"source\": 6, \"target\": 8}, {\"weight\": 5489, \"source\": 6, \"target\": 7}, {\"weight\": 6506, \"source\": 7, \"target\": 8}]}",
"id": 803,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PAG, XRY, YQX, MDU, YZG, XMN, TSR, XEQ, JKL\n- Travel distances (in kilometers) between each pair of airports:\nPAG to YZG: 15071\nPAG to XMN: 1944\nPAG to XRY: 12874\nPAG to JKL: 10781\nPAG to YQX: 15468\nPAG to TSR: 10788\nPAG to XEQ: 14210\nPAG to MDU: 4197\nXRY to YZG: 7684\nXRY to XMN: 11109\nXRY to JKL: 3041\nXRY to YQX: 5626\nXRY to TSR: 2491\nXRY to XEQ: 5521\nXRY to MDU: 16539\nYQX to YZG: 2344\nYQX to XMN: 13591\nYQX to JKL: 6626\nYQX to TSR: 5629\nYQX to XEQ: 7375\nYQX to MDU: 17851\nMDU to YZG: 17125\nMDU to XMN: 5620\nMDU to JKL: 14446\nMDU to TSR: 14453\nMDU to XEQ: 17875\nYZG to XMN: 13980\nYZG to JKL: 8970\nYZG to TSR: 7973\nYZG to XEQ: 8362\nXMN to JKL: 9068\nXMN to TSR: 9075\nXMN to XEQ: 12298\nTSR to JKL: 1442\nTSR to XEQ: 5489\nXEQ to JKL: 6506\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ARU, EOI, BPL, JJN, KTW, LUZ, MKL, KLR, TLV\n- Travel distances (in kilometers) between each pair of airports:\nARU to JJN: 18985\nARU to TLV: 11159\nARU to KTW: 10870\nARU to KLR: 11620\nARU to LUZ: 11127\nARU to BPL: 16194\nARU to MKL: 8390\nARU to EOI: 10642\nEOI to JJN: 9674\nEOI to TLV: 4239\nEOI to KTW: 1975\nEOI to KLR: 1768\nEOI to LUZ: 1999\nEOI to BPL: 6800\nEOI to MKL: 6905\nBPL to JJN: 3975\nBPL to TLV: 5171\nBPL to KTW: 5550\nBPL to KLR: 5733\nBPL to LUZ: 6067\nBPL to MKL: 12877\nJJN to TLV: 8228\nJJN to KTW: 8639\nJJN to KLR: 8569\nJJN to LUZ: 9067\nJJN to MKL: 12974\nKTW to TLV: 2429\nKTW to KLR: 1425\nKTW to LUZ: 975\nKTW to MKL: 8258\nLUZ to TLV: 3254\nLUZ to KLR: 1617\nLUZ to MKL: 8354\nMKL to TLV: 10509\nMKL to KLR: 7895\nKLR to TLV: 3663\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 47941,
"style": "rule"
}
|
{
"exact_answer": 47941,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"ARU\", \"id\": 0}, {\"name\": \"EOI\", \"id\": 1}, {\"name\": \"BPL\", \"id\": 2}, {\"name\": \"JJN\", \"id\": 3}, {\"name\": \"KTW\", \"id\": 4}, {\"name\": \"LUZ\", \"id\": 5}, {\"name\": \"MKL\", \"id\": 6}, {\"name\": \"KLR\", \"id\": 7}, {\"name\": \"TLV\", \"id\": 8}], \"links\": [{\"weight\": 18985, \"source\": 0, \"target\": 3}, {\"weight\": 11159, \"source\": 0, \"target\": 8}, {\"weight\": 10870, \"source\": 0, \"target\": 4}, {\"weight\": 11620, \"source\": 0, \"target\": 7}, {\"weight\": 11127, \"source\": 0, \"target\": 5}, {\"weight\": 16194, \"source\": 0, \"target\": 2}, {\"weight\": 8390, \"source\": 0, \"target\": 6}, {\"weight\": 10642, \"source\": 0, \"target\": 1}, {\"weight\": 9674, \"source\": 1, \"target\": 3}, {\"weight\": 4239, \"source\": 1, \"target\": 8}, {\"weight\": 1975, \"source\": 1, \"target\": 4}, {\"weight\": 1768, \"source\": 1, \"target\": 7}, {\"weight\": 1999, \"source\": 1, \"target\": 5}, {\"weight\": 6800, \"source\": 1, \"target\": 2}, {\"weight\": 6905, \"source\": 1, \"target\": 6}, {\"weight\": 3975, \"source\": 2, \"target\": 3}, {\"weight\": 5171, \"source\": 2, \"target\": 8}, {\"weight\": 5550, \"source\": 2, \"target\": 4}, {\"weight\": 5733, \"source\": 2, \"target\": 7}, {\"weight\": 6067, \"source\": 2, \"target\": 5}, {\"weight\": 12877, \"source\": 2, \"target\": 6}, {\"weight\": 8228, \"source\": 3, \"target\": 8}, {\"weight\": 8639, \"source\": 3, \"target\": 4}, {\"weight\": 8569, \"source\": 3, \"target\": 7}, {\"weight\": 9067, \"source\": 3, \"target\": 5}, {\"weight\": 12974, \"source\": 3, \"target\": 6}, {\"weight\": 2429, \"source\": 4, \"target\": 8}, {\"weight\": 1425, \"source\": 4, \"target\": 7}, {\"weight\": 975, \"source\": 4, \"target\": 5}, {\"weight\": 8258, \"source\": 4, \"target\": 6}, {\"weight\": 3254, \"source\": 5, \"target\": 8}, {\"weight\": 1617, \"source\": 5, \"target\": 7}, {\"weight\": 8354, \"source\": 5, \"target\": 6}, {\"weight\": 10509, \"source\": 6, \"target\": 8}, {\"weight\": 7895, \"source\": 6, \"target\": 7}, {\"weight\": 3663, \"source\": 7, \"target\": 8}]}",
"id": 804,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ARU, EOI, BPL, JJN, KTW, LUZ, MKL, KLR, TLV\n- Travel distances (in kilometers) between each pair of airports:\nARU to JJN: 18985\nARU to TLV: 11159\nARU to KTW: 10870\nARU to KLR: 11620\nARU to LUZ: 11127\nARU to BPL: 16194\nARU to MKL: 8390\nARU to EOI: 10642\nEOI to JJN: 9674\nEOI to TLV: 4239\nEOI to KTW: 1975\nEOI to KLR: 1768\nEOI to LUZ: 1999\nEOI to BPL: 6800\nEOI to MKL: 6905\nBPL to JJN: 3975\nBPL to TLV: 5171\nBPL to KTW: 5550\nBPL to KLR: 5733\nBPL to LUZ: 6067\nBPL to MKL: 12877\nJJN to TLV: 8228\nJJN to KTW: 8639\nJJN to KLR: 8569\nJJN to LUZ: 9067\nJJN to MKL: 12974\nKTW to TLV: 2429\nKTW to KLR: 1425\nKTW to LUZ: 975\nKTW to MKL: 8258\nLUZ to TLV: 3254\nLUZ to KLR: 1617\nLUZ to MKL: 8354\nMKL to TLV: 10509\nMKL to KLR: 7895\nKLR to TLV: 3663\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TSH, CND, IQN, SJI, SHD, HUX, IRZ, IAN, FLW\n- Travel distances (in kilometers) between each pair of airports:\nTSH to HUX: 14422\nTSH to SJI: 12227\nTSH to IAN: 17558\nTSH to IRZ: 11086\nTSH to IQN: 11036\nTSH to FLW: 8005\nTSH to CND: 6220\nTSH to SHD: 11404\nCND to HUX: 12159\nCND to SJI: 9772\nCND to IAN: 13573\nCND to IRZ: 12136\nCND to IQN: 7079\nCND to FLW: 5388\nCND to SHD: 8875\nIQN to HUX: 14057\nIQN to SJI: 3002\nIQN to IAN: 13094\nIQN to IRZ: 17918\nIQN to FLW: 11221\nIQN to SHD: 12376\nSJI to HUX: 14982\nSJI to IAN: 14207\nSJI to IRZ: 19980\nSJI to FLW: 14010\nSJI to SHD: 14165\nSHD to HUX: 3641\nSHD to IAN: 6619\nSHD to IRZ: 6270\nSHD to FLW: 5162\nHUX to IAN: 7594\nHUX to IRZ: 6299\nHUX to FLW: 8502\nIRZ to IAN: 12162\nIRZ to FLW: 9610\nIAN to FLW: 11124\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 63838,
"style": "rule"
}
|
{
"exact_answer": 63838,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"TSH\", \"id\": 0}, {\"name\": \"CND\", \"id\": 1}, {\"name\": \"IQN\", \"id\": 2}, {\"name\": \"SJI\", \"id\": 3}, {\"name\": \"SHD\", \"id\": 4}, {\"name\": \"HUX\", \"id\": 5}, {\"name\": \"IRZ\", \"id\": 6}, {\"name\": \"IAN\", \"id\": 7}, {\"name\": \"FLW\", \"id\": 8}], \"links\": [{\"weight\": 14422, \"source\": 0, \"target\": 5}, {\"weight\": 12227, \"source\": 0, \"target\": 3}, {\"weight\": 17558, \"source\": 0, \"target\": 7}, {\"weight\": 11086, \"source\": 0, \"target\": 6}, {\"weight\": 11036, \"source\": 0, \"target\": 2}, {\"weight\": 8005, \"source\": 0, \"target\": 8}, {\"weight\": 6220, \"source\": 0, \"target\": 1}, {\"weight\": 11404, \"source\": 0, \"target\": 4}, {\"weight\": 12159, \"source\": 1, \"target\": 5}, {\"weight\": 9772, \"source\": 1, \"target\": 3}, {\"weight\": 13573, \"source\": 1, \"target\": 7}, {\"weight\": 12136, \"source\": 1, \"target\": 6}, {\"weight\": 7079, \"source\": 1, \"target\": 2}, {\"weight\": 5388, \"source\": 1, \"target\": 8}, {\"weight\": 8875, \"source\": 1, \"target\": 4}, {\"weight\": 14057, \"source\": 2, \"target\": 5}, {\"weight\": 3002, \"source\": 2, \"target\": 3}, {\"weight\": 13094, \"source\": 2, \"target\": 7}, {\"weight\": 17918, \"source\": 2, \"target\": 6}, {\"weight\": 11221, \"source\": 2, \"target\": 8}, {\"weight\": 12376, \"source\": 2, \"target\": 4}, {\"weight\": 14982, \"source\": 3, \"target\": 5}, {\"weight\": 14207, \"source\": 3, \"target\": 7}, {\"weight\": 19980, \"source\": 3, \"target\": 6}, {\"weight\": 14010, \"source\": 3, \"target\": 8}, {\"weight\": 14165, \"source\": 3, \"target\": 4}, {\"weight\": 3641, \"source\": 4, \"target\": 5}, {\"weight\": 6619, \"source\": 4, \"target\": 7}, {\"weight\": 6270, \"source\": 4, \"target\": 6}, {\"weight\": 5162, \"source\": 4, \"target\": 8}, {\"weight\": 7594, \"source\": 5, \"target\": 7}, {\"weight\": 6299, \"source\": 5, \"target\": 6}, {\"weight\": 8502, \"source\": 5, \"target\": 8}, {\"weight\": 12162, \"source\": 6, \"target\": 7}, {\"weight\": 9610, \"source\": 6, \"target\": 8}, {\"weight\": 11124, \"source\": 7, \"target\": 8}]}",
"id": 805,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TSH, CND, IQN, SJI, SHD, HUX, IRZ, IAN, FLW\n- Travel distances (in kilometers) between each pair of airports:\nTSH to HUX: 14422\nTSH to SJI: 12227\nTSH to IAN: 17558\nTSH to IRZ: 11086\nTSH to IQN: 11036\nTSH to FLW: 8005\nTSH to CND: 6220\nTSH to SHD: 11404\nCND to HUX: 12159\nCND to SJI: 9772\nCND to IAN: 13573\nCND to IRZ: 12136\nCND to IQN: 7079\nCND to FLW: 5388\nCND to SHD: 8875\nIQN to HUX: 14057\nIQN to SJI: 3002\nIQN to IAN: 13094\nIQN to IRZ: 17918\nIQN to FLW: 11221\nIQN to SHD: 12376\nSJI to HUX: 14982\nSJI to IAN: 14207\nSJI to IRZ: 19980\nSJI to FLW: 14010\nSJI to SHD: 14165\nSHD to HUX: 3641\nSHD to IAN: 6619\nSHD to IRZ: 6270\nSHD to FLW: 5162\nHUX to IAN: 7594\nHUX to IRZ: 6299\nHUX to FLW: 8502\nIRZ to IAN: 12162\nIRZ to FLW: 9610\nIAN to FLW: 11124\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LRD, DEF, BLK, AUX, RDC, CIC, AHU, RKV, AJL\n- Travel distances (in kilometers) between each pair of airports:\nLRD to AUX: 7234\nLRD to AJL: 15694\nLRD to AHU: 8957\nLRD to BLK: 8021\nLRD to DEF: 13244\nLRD to RKV: 9542\nLRD to RDC: 7315\nLRD to CIC: 2666\nDEF to AUX: 12621\nDEF to AJL: 4818\nDEF to AHU: 6215\nDEF to BLK: 5477\nDEF to RKV: 9299\nDEF to RDC: 12702\nDEF to CIC: 13566\nBLK to AUX: 8970\nBLK to AJL: 8817\nBLK to AHU: 2765\nBLK to RKV: 4551\nBLK to RDC: 9051\nBLK to CIC: 8646\nAUX to AJL: 16292\nAUX to AHU: 7204\nAUX to RKV: 12890\nAUX to RDC: 539\nAUX to CIC: 9622\nRDC to AJL: 16373\nRDC to AHU: 7285\nRDC to RKV: 12971\nRDC to CIC: 9703\nCIC to AJL: 13790\nCIC to AHU: 10395\nCIC to RKV: 9866\nAHU to AJL: 9957\nAHU to RKV: 7125\nRKV to AJL: 12239\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 51991,
"style": "rule"
}
|
{
"exact_answer": 51991,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"LRD\", \"id\": 0}, {\"name\": \"DEF\", \"id\": 1}, {\"name\": \"BLK\", \"id\": 2}, {\"name\": \"AUX\", \"id\": 3}, {\"name\": \"RDC\", \"id\": 4}, {\"name\": \"CIC\", \"id\": 5}, {\"name\": \"AHU\", \"id\": 6}, {\"name\": \"RKV\", \"id\": 7}, {\"name\": \"AJL\", \"id\": 8}], \"links\": [{\"weight\": 7234, \"source\": 0, \"target\": 3}, {\"weight\": 15694, \"source\": 0, \"target\": 8}, {\"weight\": 8957, \"source\": 0, \"target\": 6}, {\"weight\": 8021, \"source\": 0, \"target\": 2}, {\"weight\": 13244, \"source\": 0, \"target\": 1}, {\"weight\": 9542, \"source\": 0, \"target\": 7}, {\"weight\": 7315, \"source\": 0, \"target\": 4}, {\"weight\": 2666, \"source\": 0, \"target\": 5}, {\"weight\": 12621, \"source\": 1, \"target\": 3}, {\"weight\": 4818, \"source\": 1, \"target\": 8}, {\"weight\": 6215, \"source\": 1, \"target\": 6}, {\"weight\": 5477, \"source\": 1, \"target\": 2}, {\"weight\": 9299, \"source\": 1, \"target\": 7}, {\"weight\": 12702, \"source\": 1, \"target\": 4}, {\"weight\": 13566, \"source\": 1, \"target\": 5}, {\"weight\": 8970, \"source\": 2, \"target\": 3}, {\"weight\": 8817, \"source\": 2, \"target\": 8}, {\"weight\": 2765, \"source\": 2, \"target\": 6}, {\"weight\": 4551, \"source\": 2, \"target\": 7}, {\"weight\": 9051, \"source\": 2, \"target\": 4}, {\"weight\": 8646, \"source\": 2, \"target\": 5}, {\"weight\": 16292, \"source\": 3, \"target\": 8}, {\"weight\": 7204, \"source\": 3, \"target\": 6}, {\"weight\": 12890, \"source\": 3, \"target\": 7}, {\"weight\": 539, \"source\": 3, \"target\": 4}, {\"weight\": 9622, \"source\": 3, \"target\": 5}, {\"weight\": 16373, \"source\": 4, \"target\": 8}, {\"weight\": 7285, \"source\": 4, \"target\": 6}, {\"weight\": 12971, \"source\": 4, \"target\": 7}, {\"weight\": 9703, \"source\": 4, \"target\": 5}, {\"weight\": 13790, \"source\": 5, \"target\": 8}, {\"weight\": 10395, \"source\": 5, \"target\": 6}, {\"weight\": 9866, \"source\": 5, \"target\": 7}, {\"weight\": 9957, \"source\": 6, \"target\": 8}, {\"weight\": 7125, \"source\": 6, \"target\": 7}, {\"weight\": 12239, \"source\": 7, \"target\": 8}]}",
"id": 806,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LRD, DEF, BLK, AUX, RDC, CIC, AHU, RKV, AJL\n- Travel distances (in kilometers) between each pair of airports:\nLRD to AUX: 7234\nLRD to AJL: 15694\nLRD to AHU: 8957\nLRD to BLK: 8021\nLRD to DEF: 13244\nLRD to RKV: 9542\nLRD to RDC: 7315\nLRD to CIC: 2666\nDEF to AUX: 12621\nDEF to AJL: 4818\nDEF to AHU: 6215\nDEF to BLK: 5477\nDEF to RKV: 9299\nDEF to RDC: 12702\nDEF to CIC: 13566\nBLK to AUX: 8970\nBLK to AJL: 8817\nBLK to AHU: 2765\nBLK to RKV: 4551\nBLK to RDC: 9051\nBLK to CIC: 8646\nAUX to AJL: 16292\nAUX to AHU: 7204\nAUX to RKV: 12890\nAUX to RDC: 539\nAUX to CIC: 9622\nRDC to AJL: 16373\nRDC to AHU: 7285\nRDC to RKV: 12971\nRDC to CIC: 9703\nCIC to AJL: 13790\nCIC to AHU: 10395\nCIC to RKV: 9866\nAHU to AJL: 9957\nAHU to RKV: 7125\nRKV to AJL: 12239\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SLU, NBO, BTR, KOE, SHD, GAU, GPS, KHN, IXA\n- Travel distances (in kilometers) between each pair of airports:\nSLU to NBO: 13001\nSLU to KHN: 15436\nSLU to GAU: 14951\nSLU to IXA: 15124\nSLU to BTR: 3956\nSLU to GPS: 4020\nSLU to KOE: 20245\nSLU to SHD: 3353\nNBO to KHN: 9045\nNBO to GAU: 6603\nNBO to IXA: 6512\nNBO to BTR: 13946\nNBO to GPS: 15036\nNBO to KOE: 10346\nNBO to SHD: 12787\nBTR to KHN: 12969\nBTR to GAU: 15030\nBTR to IXA: 15203\nBTR to GPS: 5533\nBTR to KOE: 17491\nBTR to SHD: 1724\nKOE to KHN: 5155\nKOE to GAU: 5581\nKOE to IXA: 5808\nKOE to GPS: 21673\nKOE to SHD: 17533\nSHD to KHN: 12506\nSHD to GAU: 13704\nSHD to IXA: 13877\nSHD to GPS: 5891\nGAU to IXA: 250\nGAU to KHN: 3292\nGAU to GPS: 18819\nGPS to KHN: 17840\nGPS to IXA: 18992\nKHN to IXA: 3163\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 54282,
"style": "rule"
}
|
{
"exact_answer": 54282,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"SLU\", \"id\": 0}, {\"name\": \"NBO\", \"id\": 1}, {\"name\": \"BTR\", \"id\": 2}, {\"name\": \"KOE\", \"id\": 3}, {\"name\": \"SHD\", \"id\": 4}, {\"name\": \"GAU\", \"id\": 5}, {\"name\": \"GPS\", \"id\": 6}, {\"name\": \"KHN\", \"id\": 7}, {\"name\": \"IXA\", \"id\": 8}], \"links\": [{\"weight\": 13001, \"source\": 0, \"target\": 1}, {\"weight\": 15436, \"source\": 0, \"target\": 7}, {\"weight\": 14951, \"source\": 0, \"target\": 5}, {\"weight\": 15124, \"source\": 0, \"target\": 8}, {\"weight\": 3956, \"source\": 0, \"target\": 2}, {\"weight\": 4020, \"source\": 0, \"target\": 6}, {\"weight\": 20245, \"source\": 0, \"target\": 3}, {\"weight\": 3353, \"source\": 0, \"target\": 4}, {\"weight\": 9045, \"source\": 1, \"target\": 7}, {\"weight\": 6603, \"source\": 1, \"target\": 5}, {\"weight\": 6512, \"source\": 1, \"target\": 8}, {\"weight\": 13946, \"source\": 1, \"target\": 2}, {\"weight\": 15036, \"source\": 1, \"target\": 6}, {\"weight\": 10346, \"source\": 1, \"target\": 3}, {\"weight\": 12787, \"source\": 1, \"target\": 4}, {\"weight\": 12969, \"source\": 2, \"target\": 7}, {\"weight\": 15030, \"source\": 2, \"target\": 5}, {\"weight\": 15203, \"source\": 2, \"target\": 8}, {\"weight\": 5533, \"source\": 2, \"target\": 6}, {\"weight\": 17491, \"source\": 2, \"target\": 3}, {\"weight\": 1724, \"source\": 2, \"target\": 4}, {\"weight\": 5155, \"source\": 3, \"target\": 7}, {\"weight\": 5581, \"source\": 3, \"target\": 5}, {\"weight\": 5808, \"source\": 3, \"target\": 8}, {\"weight\": 21673, \"source\": 3, \"target\": 6}, {\"weight\": 17533, \"source\": 3, \"target\": 4}, {\"weight\": 12506, \"source\": 4, \"target\": 7}, {\"weight\": 13704, \"source\": 4, \"target\": 5}, {\"weight\": 13877, \"source\": 4, \"target\": 8}, {\"weight\": 5891, \"source\": 4, \"target\": 6}, {\"weight\": 250, \"source\": 5, \"target\": 8}, {\"weight\": 3292, \"source\": 5, \"target\": 7}, {\"weight\": 18819, \"source\": 5, \"target\": 6}, {\"weight\": 17840, \"source\": 6, \"target\": 7}, {\"weight\": 18992, \"source\": 6, \"target\": 8}, {\"weight\": 3163, \"source\": 7, \"target\": 8}]}",
"id": 807,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SLU, NBO, BTR, KOE, SHD, GAU, GPS, KHN, IXA\n- Travel distances (in kilometers) between each pair of airports:\nSLU to NBO: 13001\nSLU to KHN: 15436\nSLU to GAU: 14951\nSLU to IXA: 15124\nSLU to BTR: 3956\nSLU to GPS: 4020\nSLU to KOE: 20245\nSLU to SHD: 3353\nNBO to KHN: 9045\nNBO to GAU: 6603\nNBO to IXA: 6512\nNBO to BTR: 13946\nNBO to GPS: 15036\nNBO to KOE: 10346\nNBO to SHD: 12787\nBTR to KHN: 12969\nBTR to GAU: 15030\nBTR to IXA: 15203\nBTR to GPS: 5533\nBTR to KOE: 17491\nBTR to SHD: 1724\nKOE to KHN: 5155\nKOE to GAU: 5581\nKOE to IXA: 5808\nKOE to GPS: 21673\nKOE to SHD: 17533\nSHD to KHN: 12506\nSHD to GAU: 13704\nSHD to IXA: 13877\nSHD to GPS: 5891\nGAU to IXA: 250\nGAU to KHN: 3292\nGAU to GPS: 18819\nGPS to KHN: 17840\nGPS to IXA: 18992\nKHN to IXA: 3163\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, WRG, PSP, LCK, TXN, BGO, VOZ, HAS, IST\n- Travel distances (in kilometers) between each pair of airports:\nLKG to BGO: 8563\nLKG to IST: 5943\nLKG to VOZ: 7109\nLKG to PSP: 16655\nLKG to WRG: 16873\nLKG to TXN: 10348\nLKG to HAS: 4281\nLKG to LCK: 16000\nWRG to BGO: 8524\nWRG to IST: 11144\nWRG to VOZ: 10824\nWRG to PSP: 2814\nWRG to TXN: 10742\nWRG to HAS: 14179\nWRG to LCK: 6572\nPSP to BGO: 8461\nPSP to IST: 11067\nPSP to VOZ: 10408\nPSP to TXN: 10906\nPSP to HAS: 14062\nPSP to LCK: 4697\nLCK to BGO: 8340\nLCK to IST: 10666\nLCK to VOZ: 10667\nLCK to TXN: 14487\nLCK to HAS: 13651\nTXN to BGO: 8529\nTXN to IST: 7881\nTXN to VOZ: 7352\nTXN to HAS: 7530\nBGO to IST: 2654\nBGO to VOZ: 2417\nBGO to HAS: 5681\nVOZ to IST: 1722\nVOZ to HAS: 3959\nHAS to IST: 3038\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 48399,
"style": "rule"
}
|
{
"exact_answer": 48399,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"LKG\", \"id\": 0}, {\"name\": \"WRG\", \"id\": 1}, {\"name\": \"PSP\", \"id\": 2}, {\"name\": \"LCK\", \"id\": 3}, {\"name\": \"TXN\", \"id\": 4}, {\"name\": \"BGO\", \"id\": 5}, {\"name\": \"VOZ\", \"id\": 6}, {\"name\": \"HAS\", \"id\": 7}, {\"name\": \"IST\", \"id\": 8}], \"links\": [{\"weight\": 8563, \"source\": 0, \"target\": 5}, {\"weight\": 5943, \"source\": 0, \"target\": 8}, {\"weight\": 7109, \"source\": 0, \"target\": 6}, {\"weight\": 16655, \"source\": 0, \"target\": 2}, {\"weight\": 16873, \"source\": 0, \"target\": 1}, {\"weight\": 10348, \"source\": 0, \"target\": 4}, {\"weight\": 4281, \"source\": 0, \"target\": 7}, {\"weight\": 16000, \"source\": 0, \"target\": 3}, {\"weight\": 8524, \"source\": 1, \"target\": 5}, {\"weight\": 11144, \"source\": 1, \"target\": 8}, {\"weight\": 10824, \"source\": 1, \"target\": 6}, {\"weight\": 2814, \"source\": 1, \"target\": 2}, {\"weight\": 10742, \"source\": 1, \"target\": 4}, {\"weight\": 14179, \"source\": 1, \"target\": 7}, {\"weight\": 6572, \"source\": 1, \"target\": 3}, {\"weight\": 8461, \"source\": 2, \"target\": 5}, {\"weight\": 11067, \"source\": 2, \"target\": 8}, {\"weight\": 10408, \"source\": 2, \"target\": 6}, {\"weight\": 10906, \"source\": 2, \"target\": 4}, {\"weight\": 14062, \"source\": 2, \"target\": 7}, {\"weight\": 4697, \"source\": 2, \"target\": 3}, {\"weight\": 8340, \"source\": 3, \"target\": 5}, {\"weight\": 10666, \"source\": 3, \"target\": 8}, {\"weight\": 10667, \"source\": 3, \"target\": 6}, {\"weight\": 14487, \"source\": 3, \"target\": 4}, {\"weight\": 13651, \"source\": 3, \"target\": 7}, {\"weight\": 8529, \"source\": 4, \"target\": 5}, {\"weight\": 7881, \"source\": 4, \"target\": 8}, {\"weight\": 7352, \"source\": 4, \"target\": 6}, {\"weight\": 7530, \"source\": 4, \"target\": 7}, {\"weight\": 2654, \"source\": 5, \"target\": 8}, {\"weight\": 2417, \"source\": 5, \"target\": 6}, {\"weight\": 5681, \"source\": 5, \"target\": 7}, {\"weight\": 1722, \"source\": 6, \"target\": 8}, {\"weight\": 3959, \"source\": 6, \"target\": 7}, {\"weight\": 3038, \"source\": 7, \"target\": 8}]}",
"id": 808,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, WRG, PSP, LCK, TXN, BGO, VOZ, HAS, IST\n- Travel distances (in kilometers) between each pair of airports:\nLKG to BGO: 8563\nLKG to IST: 5943\nLKG to VOZ: 7109\nLKG to PSP: 16655\nLKG to WRG: 16873\nLKG to TXN: 10348\nLKG to HAS: 4281\nLKG to LCK: 16000\nWRG to BGO: 8524\nWRG to IST: 11144\nWRG to VOZ: 10824\nWRG to PSP: 2814\nWRG to TXN: 10742\nWRG to HAS: 14179\nWRG to LCK: 6572\nPSP to BGO: 8461\nPSP to IST: 11067\nPSP to VOZ: 10408\nPSP to TXN: 10906\nPSP to HAS: 14062\nPSP to LCK: 4697\nLCK to BGO: 8340\nLCK to IST: 10666\nLCK to VOZ: 10667\nLCK to TXN: 14487\nLCK to HAS: 13651\nTXN to BGO: 8529\nTXN to IST: 7881\nTXN to VOZ: 7352\nTXN to HAS: 7530\nBGO to IST: 2654\nBGO to VOZ: 2417\nBGO to HAS: 5681\nVOZ to IST: 1722\nVOZ to HAS: 3959\nHAS to IST: 3038\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CFU, HOB, IOT, LYP, NQY, RVV, BEG, LEC, TUR\n- Travel distances (in kilometers) between each pair of airports:\nCFU to BEG: 804\nCFU to NQY: 2362\nCFU to LEC: 9276\nCFU to TUR: 9394\nCFU to IOT: 5815\nCFU to LYP: 5654\nCFU to HOB: 10614\nCFU to RVV: 18125\nHOB to BEG: 10261\nHOB to NQY: 8597\nHOB to LEC: 8933\nHOB to TUR: 7177\nHOB to IOT: 9277\nHOB to LYP: 15453\nHOB to RVV: 10361\nIOT to BEG: 5272\nIOT to NQY: 4268\nIOT to LEC: 12347\nIOT to TUR: 11926\nIOT to LYP: 10486\nIOT to RVV: 16693\nLYP to BEG: 5682\nLYP to NQY: 7592\nLYP to LEC: 14364\nLYP to TUR: 14461\nLYP to RVV: 18070\nNQY to BEG: 2007\nNQY to LEC: 8580\nNQY to TUR: 8677\nNQY to RVV: 16262\nRVV to BEG: 17687\nRVV to LEC: 13052\nRVV to TUR: 13562\nBEG to LEC: 9306\nBEG to TUR: 9403\nLEC to TUR: 2770\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 62465,
"style": "rule"
}
|
{
"exact_answer": 62465,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"CFU\", \"id\": 0}, {\"name\": \"HOB\", \"id\": 1}, {\"name\": \"IOT\", \"id\": 2}, {\"name\": \"LYP\", \"id\": 3}, {\"name\": \"NQY\", \"id\": 4}, {\"name\": \"RVV\", \"id\": 5}, {\"name\": \"BEG\", \"id\": 6}, {\"name\": \"LEC\", \"id\": 7}, {\"name\": \"TUR\", \"id\": 8}], \"links\": [{\"weight\": 804, \"source\": 0, \"target\": 6}, {\"weight\": 2362, \"source\": 0, \"target\": 4}, {\"weight\": 9276, \"source\": 0, \"target\": 7}, {\"weight\": 9394, \"source\": 0, \"target\": 8}, {\"weight\": 5815, \"source\": 0, \"target\": 2}, {\"weight\": 5654, \"source\": 0, \"target\": 3}, {\"weight\": 10614, \"source\": 0, \"target\": 1}, {\"weight\": 18125, \"source\": 0, \"target\": 5}, {\"weight\": 10261, \"source\": 1, \"target\": 6}, {\"weight\": 8597, \"source\": 1, \"target\": 4}, {\"weight\": 8933, \"source\": 1, \"target\": 7}, {\"weight\": 7177, \"source\": 1, \"target\": 8}, {\"weight\": 9277, \"source\": 1, \"target\": 2}, {\"weight\": 15453, \"source\": 1, \"target\": 3}, {\"weight\": 10361, \"source\": 1, \"target\": 5}, {\"weight\": 5272, \"source\": 2, \"target\": 6}, {\"weight\": 4268, \"source\": 2, \"target\": 4}, {\"weight\": 12347, \"source\": 2, \"target\": 7}, {\"weight\": 11926, \"source\": 2, \"target\": 8}, {\"weight\": 10486, \"source\": 2, \"target\": 3}, {\"weight\": 16693, \"source\": 2, \"target\": 5}, {\"weight\": 5682, \"source\": 3, \"target\": 6}, {\"weight\": 7592, \"source\": 3, \"target\": 4}, {\"weight\": 14364, \"source\": 3, \"target\": 7}, {\"weight\": 14461, \"source\": 3, \"target\": 8}, {\"weight\": 18070, \"source\": 3, \"target\": 5}, {\"weight\": 2007, \"source\": 4, \"target\": 6}, {\"weight\": 8580, \"source\": 4, \"target\": 7}, {\"weight\": 8677, \"source\": 4, \"target\": 8}, {\"weight\": 16262, \"source\": 4, \"target\": 5}, {\"weight\": 17687, \"source\": 5, \"target\": 6}, {\"weight\": 13052, \"source\": 5, \"target\": 7}, {\"weight\": 13562, \"source\": 5, \"target\": 8}, {\"weight\": 9306, \"source\": 6, \"target\": 7}, {\"weight\": 9403, \"source\": 6, \"target\": 8}, {\"weight\": 2770, \"source\": 7, \"target\": 8}]}",
"id": 809,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CFU, HOB, IOT, LYP, NQY, RVV, BEG, LEC, TUR\n- Travel distances (in kilometers) between each pair of airports:\nCFU to BEG: 804\nCFU to NQY: 2362\nCFU to LEC: 9276\nCFU to TUR: 9394\nCFU to IOT: 5815\nCFU to LYP: 5654\nCFU to HOB: 10614\nCFU to RVV: 18125\nHOB to BEG: 10261\nHOB to NQY: 8597\nHOB to LEC: 8933\nHOB to TUR: 7177\nHOB to IOT: 9277\nHOB to LYP: 15453\nHOB to RVV: 10361\nIOT to BEG: 5272\nIOT to NQY: 4268\nIOT to LEC: 12347\nIOT to TUR: 11926\nIOT to LYP: 10486\nIOT to RVV: 16693\nLYP to BEG: 5682\nLYP to NQY: 7592\nLYP to LEC: 14364\nLYP to TUR: 14461\nLYP to RVV: 18070\nNQY to BEG: 2007\nNQY to LEC: 8580\nNQY to TUR: 8677\nNQY to RVV: 16262\nRVV to BEG: 17687\nRVV to LEC: 13052\nRVV to TUR: 13562\nBEG to LEC: 9306\nBEG to TUR: 9403\nLEC to TUR: 2770\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SYR, PNI, ROI, MBL, SSJ, LRT, POZ, DBA, HUU\n- Travel distances (in kilometers) between each pair of airports:\nSYR to HUU: 6415\nSYR to POZ: 6771\nSYR to LRT: 6466\nSYR to ROI: 14584\nSYR to MBL: 1268\nSYR to DBA: 12248\nSYR to PNI: 12939\nSYR to SSJ: 6217\nPNI to HUU: 16194\nPNI to POZ: 12968\nPNI to LRT: 14346\nPNI to ROI: 6919\nPNI to MBL: 12299\nPNI to DBA: 10410\nPNI to SSJ: 13205\nROI to HUU: 20382\nROI to POZ: 8960\nROI to LRT: 10400\nROI to MBL: 15047\nROI to DBA: 4850\nROI to SSJ: 9690\nMBL to HUU: 6643\nMBL to POZ: 7727\nMBL to LRT: 7475\nMBL to DBA: 13200\nMBL to SSJ: 7100\nSSJ to HUU: 12173\nSSJ to POZ: 1608\nSSJ to LRT: 2472\nSSJ to DBA: 6737\nLRT to HUU: 11202\nLRT to POZ: 1848\nLRT to DBA: 6786\nPOZ to HUU: 11610\nPOZ to DBA: 5550\nDBA to HUU: 16546\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 51961,
"style": "rule"
}
|
{
"exact_answer": 51961,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"SYR\", \"id\": 0}, {\"name\": \"PNI\", \"id\": 1}, {\"name\": \"ROI\", \"id\": 2}, {\"name\": \"MBL\", \"id\": 3}, {\"name\": \"SSJ\", \"id\": 4}, {\"name\": \"LRT\", \"id\": 5}, {\"name\": \"POZ\", \"id\": 6}, {\"name\": \"DBA\", \"id\": 7}, {\"name\": \"HUU\", \"id\": 8}], \"links\": [{\"weight\": 6415, \"source\": 0, \"target\": 8}, {\"weight\": 6771, \"source\": 0, \"target\": 6}, {\"weight\": 6466, \"source\": 0, \"target\": 5}, {\"weight\": 14584, \"source\": 0, \"target\": 2}, {\"weight\": 1268, \"source\": 0, \"target\": 3}, {\"weight\": 12248, \"source\": 0, \"target\": 7}, {\"weight\": 12939, \"source\": 0, \"target\": 1}, {\"weight\": 6217, \"source\": 0, \"target\": 4}, {\"weight\": 16194, \"source\": 1, \"target\": 8}, {\"weight\": 12968, \"source\": 1, \"target\": 6}, {\"weight\": 14346, \"source\": 1, \"target\": 5}, {\"weight\": 6919, \"source\": 1, \"target\": 2}, {\"weight\": 12299, \"source\": 1, \"target\": 3}, {\"weight\": 10410, \"source\": 1, \"target\": 7}, {\"weight\": 13205, \"source\": 1, \"target\": 4}, {\"weight\": 20382, \"source\": 2, \"target\": 8}, {\"weight\": 8960, \"source\": 2, \"target\": 6}, {\"weight\": 10400, \"source\": 2, \"target\": 5}, {\"weight\": 15047, \"source\": 2, \"target\": 3}, {\"weight\": 4850, \"source\": 2, \"target\": 7}, {\"weight\": 9690, \"source\": 2, \"target\": 4}, {\"weight\": 6643, \"source\": 3, \"target\": 8}, {\"weight\": 7727, \"source\": 3, \"target\": 6}, {\"weight\": 7475, \"source\": 3, \"target\": 5}, {\"weight\": 13200, \"source\": 3, \"target\": 7}, {\"weight\": 7100, \"source\": 3, \"target\": 4}, {\"weight\": 12173, \"source\": 4, \"target\": 8}, {\"weight\": 1608, \"source\": 4, \"target\": 6}, {\"weight\": 2472, \"source\": 4, \"target\": 5}, {\"weight\": 6737, \"source\": 4, \"target\": 7}, {\"weight\": 11202, \"source\": 5, \"target\": 8}, {\"weight\": 1848, \"source\": 5, \"target\": 6}, {\"weight\": 6786, \"source\": 5, \"target\": 7}, {\"weight\": 11610, \"source\": 6, \"target\": 8}, {\"weight\": 5550, \"source\": 6, \"target\": 7}, {\"weight\": 16546, \"source\": 7, \"target\": 8}]}",
"id": 810,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SYR, PNI, ROI, MBL, SSJ, LRT, POZ, DBA, HUU\n- Travel distances (in kilometers) between each pair of airports:\nSYR to HUU: 6415\nSYR to POZ: 6771\nSYR to LRT: 6466\nSYR to ROI: 14584\nSYR to MBL: 1268\nSYR to DBA: 12248\nSYR to PNI: 12939\nSYR to SSJ: 6217\nPNI to HUU: 16194\nPNI to POZ: 12968\nPNI to LRT: 14346\nPNI to ROI: 6919\nPNI to MBL: 12299\nPNI to DBA: 10410\nPNI to SSJ: 13205\nROI to HUU: 20382\nROI to POZ: 8960\nROI to LRT: 10400\nROI to MBL: 15047\nROI to DBA: 4850\nROI to SSJ: 9690\nMBL to HUU: 6643\nMBL to POZ: 7727\nMBL to LRT: 7475\nMBL to DBA: 13200\nMBL to SSJ: 7100\nSSJ to HUU: 12173\nSSJ to POZ: 1608\nSSJ to LRT: 2472\nSSJ to DBA: 6737\nLRT to HUU: 11202\nLRT to POZ: 1848\nLRT to DBA: 6786\nPOZ to HUU: 11610\nPOZ to DBA: 5550\nDBA to HUU: 16546\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: HZH, MSJ, AQA, XSC, BBK, HBX, YUM, NKI, HEL\n- Travel distances (in kilometers) between each pair of airports:\nHZH to HEL: 7310\nHZH to YUM: 12408\nHZH to AQA: 17868\nHZH to BBK: 11485\nHZH to MSJ: 3866\nHZH to XSC: 15150\nHZH to NKI: 11912\nHZH to HBX: 4106\nMSJ to HEL: 8630\nMSJ to YUM: 9782\nMSJ to AQA: 19343\nMSJ to BBK: 14916\nMSJ to XSC: 13663\nMSJ to NKI: 9543\nMSJ to HBX: 7590\nAQA to HEL: 11460\nAQA to YUM: 9958\nAQA to BBK: 9090\nAQA to XSC: 6247\nAQA to NKI: 12286\nAQA to HBX: 14528\nXSC to HEL: 8691\nXSC to YUM: 4435\nXSC to BBK: 14248\nXSC to NKI: 6606\nXSC to HBX: 14978\nBBK to HEL: 10080\nBBK to YUM: 16575\nBBK to NKI: 17991\nBBK to HBX: 8145\nHBX to HEL: 6659\nHBX to YUM: 15680\nHBX to NKI: 15184\nYUM to HEL: 9394\nYUM to NKI: 3160\nNKI to HEL: 9498\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 57177,
"style": "rule"
}
|
{
"exact_answer": 57177,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"HZH\", \"id\": 0}, {\"name\": \"MSJ\", \"id\": 1}, {\"name\": \"AQA\", \"id\": 2}, {\"name\": \"XSC\", \"id\": 3}, {\"name\": \"BBK\", \"id\": 4}, {\"name\": \"HBX\", \"id\": 5}, {\"name\": \"YUM\", \"id\": 6}, {\"name\": \"NKI\", \"id\": 7}, {\"name\": \"HEL\", \"id\": 8}], \"links\": [{\"weight\": 7310, \"source\": 0, \"target\": 8}, {\"weight\": 12408, \"source\": 0, \"target\": 6}, {\"weight\": 17868, \"source\": 0, \"target\": 2}, {\"weight\": 11485, \"source\": 0, \"target\": 4}, {\"weight\": 3866, \"source\": 0, \"target\": 1}, {\"weight\": 15150, \"source\": 0, \"target\": 3}, {\"weight\": 11912, \"source\": 0, \"target\": 7}, {\"weight\": 4106, \"source\": 0, \"target\": 5}, {\"weight\": 8630, \"source\": 1, \"target\": 8}, {\"weight\": 9782, \"source\": 1, \"target\": 6}, {\"weight\": 19343, \"source\": 1, \"target\": 2}, {\"weight\": 14916, \"source\": 1, \"target\": 4}, {\"weight\": 13663, \"source\": 1, \"target\": 3}, {\"weight\": 9543, \"source\": 1, \"target\": 7}, {\"weight\": 7590, \"source\": 1, \"target\": 5}, {\"weight\": 11460, \"source\": 2, \"target\": 8}, {\"weight\": 9958, \"source\": 2, \"target\": 6}, {\"weight\": 9090, \"source\": 2, \"target\": 4}, {\"weight\": 6247, \"source\": 2, \"target\": 3}, {\"weight\": 12286, \"source\": 2, \"target\": 7}, {\"weight\": 14528, \"source\": 2, \"target\": 5}, {\"weight\": 8691, \"source\": 3, \"target\": 8}, {\"weight\": 4435, \"source\": 3, \"target\": 6}, {\"weight\": 14248, \"source\": 3, \"target\": 4}, {\"weight\": 6606, \"source\": 3, \"target\": 7}, {\"weight\": 14978, \"source\": 3, \"target\": 5}, {\"weight\": 10080, \"source\": 4, \"target\": 8}, {\"weight\": 16575, \"source\": 4, \"target\": 6}, {\"weight\": 17991, \"source\": 4, \"target\": 7}, {\"weight\": 8145, \"source\": 4, \"target\": 5}, {\"weight\": 6659, \"source\": 5, \"target\": 8}, {\"weight\": 15680, \"source\": 5, \"target\": 6}, {\"weight\": 15184, \"source\": 5, \"target\": 7}, {\"weight\": 9394, \"source\": 6, \"target\": 8}, {\"weight\": 3160, \"source\": 6, \"target\": 7}, {\"weight\": 9498, \"source\": 7, \"target\": 8}]}",
"id": 811,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: HZH, MSJ, AQA, XSC, BBK, HBX, YUM, NKI, HEL\n- Travel distances (in kilometers) between each pair of airports:\nHZH to HEL: 7310\nHZH to YUM: 12408\nHZH to AQA: 17868\nHZH to BBK: 11485\nHZH to MSJ: 3866\nHZH to XSC: 15150\nHZH to NKI: 11912\nHZH to HBX: 4106\nMSJ to HEL: 8630\nMSJ to YUM: 9782\nMSJ to AQA: 19343\nMSJ to BBK: 14916\nMSJ to XSC: 13663\nMSJ to NKI: 9543\nMSJ to HBX: 7590\nAQA to HEL: 11460\nAQA to YUM: 9958\nAQA to BBK: 9090\nAQA to XSC: 6247\nAQA to NKI: 12286\nAQA to HBX: 14528\nXSC to HEL: 8691\nXSC to YUM: 4435\nXSC to BBK: 14248\nXSC to NKI: 6606\nXSC to HBX: 14978\nBBK to HEL: 10080\nBBK to YUM: 16575\nBBK to NKI: 17991\nBBK to HBX: 8145\nHBX to HEL: 6659\nHBX to YUM: 15680\nHBX to NKI: 15184\nYUM to HEL: 9394\nYUM to NKI: 3160\nNKI to HEL: 9498\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: NAO, GEL, LPQ, CAH, JJU, YIK, ZQN, SFO, EBA\n- Travel distances (in kilometers) between each pair of airports:\nNAO to YIK: 14018\nNAO to EBA: 8873\nNAO to SFO: 10900\nNAO to LPQ: 1381\nNAO to ZQN: 10553\nNAO to JJU: 11253\nNAO to GEL: 18812\nNAO to CAH: 2675\nGEL to YIK: 11309\nGEL to EBA: 11244\nGEL to SFO: 10948\nGEL to LPQ: 18352\nGEL to ZQN: 13019\nGEL to JJU: 14322\nGEL to CAH: 18456\nLPQ to YIK: 15351\nLPQ to EBA: 9591\nLPQ to SFO: 12175\nLPQ to ZQN: 9926\nLPQ to JJU: 12317\nLPQ to CAH: 1386\nCAH to YIK: 16018\nCAH to EBA: 10391\nCAH to SFO: 12841\nCAH to ZQN: 9026\nCAH to JJU: 13122\nJJU to YIK: 8142\nJJU to EBA: 5089\nJJU to SFO: 8714\nJJU to ZQN: 20036\nYIK to EBA: 7702\nYIK to SFO: 5028\nYIK to ZQN: 16254\nZQN to EBA: 18867\nZQN to SFO: 11532\nSFO to EBA: 9913\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 62892,
"style": "rule"
}
|
{
"exact_answer": 62892,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"NAO\", \"id\": 0}, {\"name\": \"GEL\", \"id\": 1}, {\"name\": \"LPQ\", \"id\": 2}, {\"name\": \"CAH\", \"id\": 3}, {\"name\": \"JJU\", \"id\": 4}, {\"name\": \"YIK\", \"id\": 5}, {\"name\": \"ZQN\", \"id\": 6}, {\"name\": \"SFO\", \"id\": 7}, {\"name\": \"EBA\", \"id\": 8}], \"links\": [{\"weight\": 14018, \"source\": 0, \"target\": 5}, {\"weight\": 8873, \"source\": 0, \"target\": 8}, {\"weight\": 10900, \"source\": 0, \"target\": 7}, {\"weight\": 1381, \"source\": 0, \"target\": 2}, {\"weight\": 10553, \"source\": 0, \"target\": 6}, {\"weight\": 11253, \"source\": 0, \"target\": 4}, {\"weight\": 18812, \"source\": 0, \"target\": 1}, {\"weight\": 2675, \"source\": 0, \"target\": 3}, {\"weight\": 11309, \"source\": 1, \"target\": 5}, {\"weight\": 11244, \"source\": 1, \"target\": 8}, {\"weight\": 10948, \"source\": 1, \"target\": 7}, {\"weight\": 18352, \"source\": 1, \"target\": 2}, {\"weight\": 13019, \"source\": 1, \"target\": 6}, {\"weight\": 14322, \"source\": 1, \"target\": 4}, {\"weight\": 18456, \"source\": 1, \"target\": 3}, {\"weight\": 15351, \"source\": 2, \"target\": 5}, {\"weight\": 9591, \"source\": 2, \"target\": 8}, {\"weight\": 12175, \"source\": 2, \"target\": 7}, {\"weight\": 9926, \"source\": 2, \"target\": 6}, {\"weight\": 12317, \"source\": 2, \"target\": 4}, {\"weight\": 1386, \"source\": 2, \"target\": 3}, {\"weight\": 16018, \"source\": 3, \"target\": 5}, {\"weight\": 10391, \"source\": 3, \"target\": 8}, {\"weight\": 12841, \"source\": 3, \"target\": 7}, {\"weight\": 9026, \"source\": 3, \"target\": 6}, {\"weight\": 13122, \"source\": 3, \"target\": 4}, {\"weight\": 8142, \"source\": 4, \"target\": 5}, {\"weight\": 5089, \"source\": 4, \"target\": 8}, {\"weight\": 8714, \"source\": 4, \"target\": 7}, {\"weight\": 20036, \"source\": 4, \"target\": 6}, {\"weight\": 7702, \"source\": 5, \"target\": 8}, {\"weight\": 5028, \"source\": 5, \"target\": 7}, {\"weight\": 16254, \"source\": 5, \"target\": 6}, {\"weight\": 18867, \"source\": 6, \"target\": 8}, {\"weight\": 11532, \"source\": 6, \"target\": 7}, {\"weight\": 9913, \"source\": 7, \"target\": 8}]}",
"id": 812,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: NAO, GEL, LPQ, CAH, JJU, YIK, ZQN, SFO, EBA\n- Travel distances (in kilometers) between each pair of airports:\nNAO to YIK: 14018\nNAO to EBA: 8873\nNAO to SFO: 10900\nNAO to LPQ: 1381\nNAO to ZQN: 10553\nNAO to JJU: 11253\nNAO to GEL: 18812\nNAO to CAH: 2675\nGEL to YIK: 11309\nGEL to EBA: 11244\nGEL to SFO: 10948\nGEL to LPQ: 18352\nGEL to ZQN: 13019\nGEL to JJU: 14322\nGEL to CAH: 18456\nLPQ to YIK: 15351\nLPQ to EBA: 9591\nLPQ to SFO: 12175\nLPQ to ZQN: 9926\nLPQ to JJU: 12317\nLPQ to CAH: 1386\nCAH to YIK: 16018\nCAH to EBA: 10391\nCAH to SFO: 12841\nCAH to ZQN: 9026\nCAH to JJU: 13122\nJJU to YIK: 8142\nJJU to EBA: 5089\nJJU to SFO: 8714\nJJU to ZQN: 20036\nYIK to EBA: 7702\nYIK to SFO: 5028\nYIK to ZQN: 16254\nZQN to EBA: 18867\nZQN to SFO: 11532\nSFO to EBA: 9913\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, ODN, WNN, NUX, ENE, VCL, CAI, MUX, BUD\n- Travel distances (in kilometers) between each pair of airports:\nSLW to NUX: 12597\nSLW to CAI: 12016\nSLW to BUD: 9955\nSLW to MUX: 14195\nSLW to ENE: 17733\nSLW to ODN: 15950\nSLW to VCL: 15341\nSLW to WNN: 3786\nODN to NUX: 7984\nODN to CAI: 9368\nODN to BUD: 10435\nODN to MUX: 5808\nODN to ENE: 2729\nODN to VCL: 2929\nODN to WNN: 14427\nWNN to NUX: 11337\nWNN to CAI: 10767\nWNN to BUD: 8695\nWNN to MUX: 12935\nWNN to ENE: 16210\nWNN to VCL: 14149\nNUX to CAI: 5017\nNUX to BUD: 3895\nNUX to MUX: 4328\nNUX to ENE: 9803\nNUX to VCL: 6397\nENE to CAI: 10643\nENE to BUD: 11904\nENE to MUX: 7285\nENE to VCL: 4036\nVCL to CAI: 8550\nVCL to BUD: 9006\nVCL to MUX: 4915\nCAI to BUD: 2189\nCAI to MUX: 4080\nMUX to BUD: 5134\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 50317,
"style": "rule"
}
|
{
"exact_answer": 50317,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"SLW\", \"id\": 0}, {\"name\": \"ODN\", \"id\": 1}, {\"name\": \"WNN\", \"id\": 2}, {\"name\": \"NUX\", \"id\": 3}, {\"name\": \"ENE\", \"id\": 4}, {\"name\": \"VCL\", \"id\": 5}, {\"name\": \"CAI\", \"id\": 6}, {\"name\": \"MUX\", \"id\": 7}, {\"name\": \"BUD\", \"id\": 8}], \"links\": [{\"weight\": 12597, \"source\": 0, \"target\": 3}, {\"weight\": 12016, \"source\": 0, \"target\": 6}, {\"weight\": 9955, \"source\": 0, \"target\": 8}, {\"weight\": 14195, \"source\": 0, \"target\": 7}, {\"weight\": 17733, \"source\": 0, \"target\": 4}, {\"weight\": 15950, \"source\": 0, \"target\": 1}, {\"weight\": 15341, \"source\": 0, \"target\": 5}, {\"weight\": 3786, \"source\": 0, \"target\": 2}, {\"weight\": 7984, \"source\": 1, \"target\": 3}, {\"weight\": 9368, \"source\": 1, \"target\": 6}, {\"weight\": 10435, \"source\": 1, \"target\": 8}, {\"weight\": 5808, \"source\": 1, \"target\": 7}, {\"weight\": 2729, \"source\": 1, \"target\": 4}, {\"weight\": 2929, \"source\": 1, \"target\": 5}, {\"weight\": 14427, \"source\": 1, \"target\": 2}, {\"weight\": 11337, \"source\": 2, \"target\": 3}, {\"weight\": 10767, \"source\": 2, \"target\": 6}, {\"weight\": 8695, \"source\": 2, \"target\": 8}, {\"weight\": 12935, \"source\": 2, \"target\": 7}, {\"weight\": 16210, \"source\": 2, \"target\": 4}, {\"weight\": 14149, \"source\": 2, \"target\": 5}, {\"weight\": 5017, \"source\": 3, \"target\": 6}, {\"weight\": 3895, \"source\": 3, \"target\": 8}, {\"weight\": 4328, \"source\": 3, \"target\": 7}, {\"weight\": 9803, \"source\": 3, \"target\": 4}, {\"weight\": 6397, \"source\": 3, \"target\": 5}, {\"weight\": 10643, \"source\": 4, \"target\": 6}, {\"weight\": 11904, \"source\": 4, \"target\": 8}, {\"weight\": 7285, \"source\": 4, \"target\": 7}, {\"weight\": 4036, \"source\": 4, \"target\": 5}, {\"weight\": 8550, \"source\": 5, \"target\": 6}, {\"weight\": 9006, \"source\": 5, \"target\": 8}, {\"weight\": 4915, \"source\": 5, \"target\": 7}, {\"weight\": 2189, \"source\": 6, \"target\": 8}, {\"weight\": 4080, \"source\": 6, \"target\": 7}, {\"weight\": 5134, \"source\": 7, \"target\": 8}]}",
"id": 813,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, ODN, WNN, NUX, ENE, VCL, CAI, MUX, BUD\n- Travel distances (in kilometers) between each pair of airports:\nSLW to NUX: 12597\nSLW to CAI: 12016\nSLW to BUD: 9955\nSLW to MUX: 14195\nSLW to ENE: 17733\nSLW to ODN: 15950\nSLW to VCL: 15341\nSLW to WNN: 3786\nODN to NUX: 7984\nODN to CAI: 9368\nODN to BUD: 10435\nODN to MUX: 5808\nODN to ENE: 2729\nODN to VCL: 2929\nODN to WNN: 14427\nWNN to NUX: 11337\nWNN to CAI: 10767\nWNN to BUD: 8695\nWNN to MUX: 12935\nWNN to ENE: 16210\nWNN to VCL: 14149\nNUX to CAI: 5017\nNUX to BUD: 3895\nNUX to MUX: 4328\nNUX to ENE: 9803\nNUX to VCL: 6397\nENE to CAI: 10643\nENE to BUD: 11904\nENE to MUX: 7285\nENE to VCL: 4036\nVCL to CAI: 8550\nVCL to BUD: 9006\nVCL to MUX: 4915\nCAI to BUD: 2189\nCAI to MUX: 4080\nMUX to BUD: 5134\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TID, JGD, XBE, ASP, DRO, NAT, ULK, SNP, MXV\n- Travel distances (in kilometers) between each pair of airports:\nTID to ULK: 11400\nTID to ASP: 15758\nTID to DRO: 9482\nTID to NAT: 6960\nTID to SNP: 13099\nTID to JGD: 9164\nTID to MXV: 8485\nTID to XBE: 8611\nJGD to ULK: 5140\nJGD to ASP: 8545\nJGD to DRO: 11690\nJGD to NAT: 15160\nJGD to SNP: 13256\nJGD to MXV: 1620\nJGD to XBE: 12138\nXBE to ULK: 16462\nXBE to ASP: 16554\nXBE to DRO: 2484\nXBE to NAT: 9124\nXBE to SNP: 6291\nXBE to MXV: 12644\nASP to ULK: 12651\nASP to DRO: 14656\nASP to NAT: 18204\nASP to SNP: 15220\nASP to MXV: 8833\nDRO to ULK: 15970\nDRO to NAT: 9017\nDRO to SNP: 5495\nDRO to MXV: 12152\nNAT to ULK: 17332\nNAT to SNP: 13621\nNAT to MXV: 14481\nULK to SNP: 17519\nULK to MXV: 5748\nSNP to MXV: 13701\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 66276,
"style": "rule"
}
|
{
"exact_answer": 66276,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"TID\", \"id\": 0}, {\"name\": \"JGD\", \"id\": 1}, {\"name\": \"XBE\", \"id\": 2}, {\"name\": \"ASP\", \"id\": 3}, {\"name\": \"DRO\", \"id\": 4}, {\"name\": \"NAT\", \"id\": 5}, {\"name\": \"ULK\", \"id\": 6}, {\"name\": \"SNP\", \"id\": 7}, {\"name\": \"MXV\", \"id\": 8}], \"links\": [{\"weight\": 11400, \"source\": 0, \"target\": 6}, {\"weight\": 15758, \"source\": 0, \"target\": 3}, {\"weight\": 9482, \"source\": 0, \"target\": 4}, {\"weight\": 6960, \"source\": 0, \"target\": 5}, {\"weight\": 13099, \"source\": 0, \"target\": 7}, {\"weight\": 9164, \"source\": 0, \"target\": 1}, {\"weight\": 8485, \"source\": 0, \"target\": 8}, {\"weight\": 8611, \"source\": 0, \"target\": 2}, {\"weight\": 5140, \"source\": 1, \"target\": 6}, {\"weight\": 8545, \"source\": 1, \"target\": 3}, {\"weight\": 11690, \"source\": 1, \"target\": 4}, {\"weight\": 15160, \"source\": 1, \"target\": 5}, {\"weight\": 13256, \"source\": 1, \"target\": 7}, {\"weight\": 1620, \"source\": 1, \"target\": 8}, {\"weight\": 12138, \"source\": 1, \"target\": 2}, {\"weight\": 16462, \"source\": 2, \"target\": 6}, {\"weight\": 16554, \"source\": 2, \"target\": 3}, {\"weight\": 2484, \"source\": 2, \"target\": 4}, {\"weight\": 9124, \"source\": 2, \"target\": 5}, {\"weight\": 6291, \"source\": 2, \"target\": 7}, {\"weight\": 12644, \"source\": 2, \"target\": 8}, {\"weight\": 12651, \"source\": 3, \"target\": 6}, {\"weight\": 14656, \"source\": 3, \"target\": 4}, {\"weight\": 18204, \"source\": 3, \"target\": 5}, {\"weight\": 15220, \"source\": 3, \"target\": 7}, {\"weight\": 8833, \"source\": 3, \"target\": 8}, {\"weight\": 15970, \"source\": 4, \"target\": 6}, {\"weight\": 9017, \"source\": 4, \"target\": 5}, {\"weight\": 5495, \"source\": 4, \"target\": 7}, {\"weight\": 12152, \"source\": 4, \"target\": 8}, {\"weight\": 17332, \"source\": 5, \"target\": 6}, {\"weight\": 13621, \"source\": 5, \"target\": 7}, {\"weight\": 14481, \"source\": 5, \"target\": 8}, {\"weight\": 17519, \"source\": 6, \"target\": 7}, {\"weight\": 5748, \"source\": 6, \"target\": 8}, {\"weight\": 13701, \"source\": 7, \"target\": 8}]}",
"id": 814,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TID, JGD, XBE, ASP, DRO, NAT, ULK, SNP, MXV\n- Travel distances (in kilometers) between each pair of airports:\nTID to ULK: 11400\nTID to ASP: 15758\nTID to DRO: 9482\nTID to NAT: 6960\nTID to SNP: 13099\nTID to JGD: 9164\nTID to MXV: 8485\nTID to XBE: 8611\nJGD to ULK: 5140\nJGD to ASP: 8545\nJGD to DRO: 11690\nJGD to NAT: 15160\nJGD to SNP: 13256\nJGD to MXV: 1620\nJGD to XBE: 12138\nXBE to ULK: 16462\nXBE to ASP: 16554\nXBE to DRO: 2484\nXBE to NAT: 9124\nXBE to SNP: 6291\nXBE to MXV: 12644\nASP to ULK: 12651\nASP to DRO: 14656\nASP to NAT: 18204\nASP to SNP: 15220\nASP to MXV: 8833\nDRO to ULK: 15970\nDRO to NAT: 9017\nDRO to SNP: 5495\nDRO to MXV: 12152\nNAT to ULK: 17332\nNAT to SNP: 13621\nNAT to MXV: 14481\nULK to SNP: 17519\nULK to MXV: 5748\nSNP to MXV: 13701\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SKG, SLZ, BLA, AAE, LRM, CMH, JHM, GIG, JHB\n- Travel distances (in kilometers) between each pair of airports:\nSKG to GIG: 10080\nSKG to LRM: 8843\nSKG to BLA: 9415\nSKG to CMH: 8363\nSKG to SLZ: 8790\nSKG to AAE: 2276\nSKG to JHB: 9126\nSKG to JHM: 14069\nSLZ to GIG: 2251\nSLZ to LRM: 3732\nSLZ to BLA: 2740\nSLZ to CMH: 6350\nSLZ to AAE: 7358\nSLZ to JHB: 17366\nSLZ to JHM: 12930\nBLA to GIG: 4576\nBLA to LRM: 1321\nBLA to CMH: 3923\nBLA to AAE: 8277\nBLA to JHB: 18242\nBLA to JHM: 10264\nAAE to GIG: 8888\nAAE to LRM: 7756\nAAE to CMH: 7634\nAAE to JHB: 10503\nAAE to JHM: 13821\nLRM to GIG: 5689\nLRM to CMH: 2785\nLRM to JHB: 17892\nLRM to JHM: 9341\nCMH to GIG: 8134\nCMH to JHB: 15560\nCMH to JHM: 7354\nJHM to GIG: 14315\nJHM to JHB: 11205\nGIG to JHB: 16537\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 47946,
"style": "rule"
}
|
{
"exact_answer": 47946,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"SKG\", \"id\": 0}, {\"name\": \"SLZ\", \"id\": 1}, {\"name\": \"BLA\", \"id\": 2}, {\"name\": \"AAE\", \"id\": 3}, {\"name\": \"LRM\", \"id\": 4}, {\"name\": \"CMH\", \"id\": 5}, {\"name\": \"JHM\", \"id\": 6}, {\"name\": \"GIG\", \"id\": 7}, {\"name\": \"JHB\", \"id\": 8}], \"links\": [{\"weight\": 10080, \"source\": 0, \"target\": 7}, {\"weight\": 8843, \"source\": 0, \"target\": 4}, {\"weight\": 9415, \"source\": 0, \"target\": 2}, {\"weight\": 8363, \"source\": 0, \"target\": 5}, {\"weight\": 8790, \"source\": 0, \"target\": 1}, {\"weight\": 2276, \"source\": 0, \"target\": 3}, {\"weight\": 9126, \"source\": 0, \"target\": 8}, {\"weight\": 14069, \"source\": 0, \"target\": 6}, {\"weight\": 2251, \"source\": 1, \"target\": 7}, {\"weight\": 3732, \"source\": 1, \"target\": 4}, {\"weight\": 2740, \"source\": 1, \"target\": 2}, {\"weight\": 6350, \"source\": 1, \"target\": 5}, {\"weight\": 7358, \"source\": 1, \"target\": 3}, {\"weight\": 17366, \"source\": 1, \"target\": 8}, {\"weight\": 12930, \"source\": 1, \"target\": 6}, {\"weight\": 4576, \"source\": 2, \"target\": 7}, {\"weight\": 1321, \"source\": 2, \"target\": 4}, {\"weight\": 3923, \"source\": 2, \"target\": 5}, {\"weight\": 8277, \"source\": 2, \"target\": 3}, {\"weight\": 18242, \"source\": 2, \"target\": 8}, {\"weight\": 10264, \"source\": 2, \"target\": 6}, {\"weight\": 8888, \"source\": 3, \"target\": 7}, {\"weight\": 7756, \"source\": 3, \"target\": 4}, {\"weight\": 7634, \"source\": 3, \"target\": 5}, {\"weight\": 10503, \"source\": 3, \"target\": 8}, {\"weight\": 13821, \"source\": 3, \"target\": 6}, {\"weight\": 5689, \"source\": 4, \"target\": 7}, {\"weight\": 2785, \"source\": 4, \"target\": 5}, {\"weight\": 17892, \"source\": 4, \"target\": 8}, {\"weight\": 9341, \"source\": 4, \"target\": 6}, {\"weight\": 8134, \"source\": 5, \"target\": 7}, {\"weight\": 15560, \"source\": 5, \"target\": 8}, {\"weight\": 7354, \"source\": 5, \"target\": 6}, {\"weight\": 14315, \"source\": 6, \"target\": 7}, {\"weight\": 11205, \"source\": 6, \"target\": 8}, {\"weight\": 16537, \"source\": 7, \"target\": 8}]}",
"id": 815,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SKG, SLZ, BLA, AAE, LRM, CMH, JHM, GIG, JHB\n- Travel distances (in kilometers) between each pair of airports:\nSKG to GIG: 10080\nSKG to LRM: 8843\nSKG to BLA: 9415\nSKG to CMH: 8363\nSKG to SLZ: 8790\nSKG to AAE: 2276\nSKG to JHB: 9126\nSKG to JHM: 14069\nSLZ to GIG: 2251\nSLZ to LRM: 3732\nSLZ to BLA: 2740\nSLZ to CMH: 6350\nSLZ to AAE: 7358\nSLZ to JHB: 17366\nSLZ to JHM: 12930\nBLA to GIG: 4576\nBLA to LRM: 1321\nBLA to CMH: 3923\nBLA to AAE: 8277\nBLA to JHB: 18242\nBLA to JHM: 10264\nAAE to GIG: 8888\nAAE to LRM: 7756\nAAE to CMH: 7634\nAAE to JHB: 10503\nAAE to JHM: 13821\nLRM to GIG: 5689\nLRM to CMH: 2785\nLRM to JHB: 17892\nLRM to JHM: 9341\nCMH to GIG: 8134\nCMH to JHB: 15560\nCMH to JHM: 7354\nJHM to GIG: 14315\nJHM to JHB: 11205\nGIG to JHB: 16537\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TBI, CNX, KZI, BKW, WNZ, PGF, HVG, BWT, TPS\n- Travel distances (in kilometers) between each pair of airports:\nTBI to WNZ: 14035\nTBI to CNX: 15757\nTBI to PGF: 8228\nTBI to TPS: 9018\nTBI to KZI: 9939\nTBI to BWT: 17168\nTBI to BKW: 2156\nTBI to HVG: 8817\nCNX to WNZ: 2456\nCNX to PGF: 9985\nCNX to TPS: 8862\nCNX to KZI: 8020\nCNX to BWT: 8305\nCNX to BKW: 14364\nCNX to HVG: 9363\nKZI to WNZ: 9049\nKZI to PGF: 3089\nKZI to TPS: 1478\nKZI to BWT: 15608\nKZI to BKW: 8958\nKZI to HVG: 4188\nBKW to WNZ: 12684\nBKW to PGF: 7172\nBKW to TPS: 7887\nBKW to BWT: 17085\nBKW to HVG: 7547\nWNZ to PGF: 10304\nWNZ to TPS: 9841\nWNZ to BWT: 8182\nWNZ to HVG: 9319\nPGF to TPS: 2163\nPGF to BWT: 17842\nPGF to HVG: 3453\nHVG to TPS: 3881\nHVG to BWT: 17099\nBWT to TPS: 16366\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 52623,
"style": "rule"
}
|
{
"exact_answer": 52623,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"TBI\", \"id\": 0}, {\"name\": \"CNX\", \"id\": 1}, {\"name\": \"KZI\", \"id\": 2}, {\"name\": \"BKW\", \"id\": 3}, {\"name\": \"WNZ\", \"id\": 4}, {\"name\": \"PGF\", \"id\": 5}, {\"name\": \"HVG\", \"id\": 6}, {\"name\": \"BWT\", \"id\": 7}, {\"name\": \"TPS\", \"id\": 8}], \"links\": [{\"weight\": 14035, \"source\": 0, \"target\": 4}, {\"weight\": 15757, \"source\": 0, \"target\": 1}, {\"weight\": 8228, \"source\": 0, \"target\": 5}, {\"weight\": 9018, \"source\": 0, \"target\": 8}, {\"weight\": 9939, \"source\": 0, \"target\": 2}, {\"weight\": 17168, \"source\": 0, \"target\": 7}, {\"weight\": 2156, \"source\": 0, \"target\": 3}, {\"weight\": 8817, \"source\": 0, \"target\": 6}, {\"weight\": 2456, \"source\": 1, \"target\": 4}, {\"weight\": 9985, \"source\": 1, \"target\": 5}, {\"weight\": 8862, \"source\": 1, \"target\": 8}, {\"weight\": 8020, \"source\": 1, \"target\": 2}, {\"weight\": 8305, \"source\": 1, \"target\": 7}, {\"weight\": 14364, \"source\": 1, \"target\": 3}, {\"weight\": 9363, \"source\": 1, \"target\": 6}, {\"weight\": 9049, \"source\": 2, \"target\": 4}, {\"weight\": 3089, \"source\": 2, \"target\": 5}, {\"weight\": 1478, \"source\": 2, \"target\": 8}, {\"weight\": 15608, \"source\": 2, \"target\": 7}, {\"weight\": 8958, \"source\": 2, \"target\": 3}, {\"weight\": 4188, \"source\": 2, \"target\": 6}, {\"weight\": 12684, \"source\": 3, \"target\": 4}, {\"weight\": 7172, \"source\": 3, \"target\": 5}, {\"weight\": 7887, \"source\": 3, \"target\": 8}, {\"weight\": 17085, \"source\": 3, \"target\": 7}, {\"weight\": 7547, \"source\": 3, \"target\": 6}, {\"weight\": 10304, \"source\": 4, \"target\": 5}, {\"weight\": 9841, \"source\": 4, \"target\": 8}, {\"weight\": 8182, \"source\": 4, \"target\": 7}, {\"weight\": 9319, \"source\": 4, \"target\": 6}, {\"weight\": 2163, \"source\": 5, \"target\": 8}, {\"weight\": 17842, \"source\": 5, \"target\": 7}, {\"weight\": 3453, \"source\": 5, \"target\": 6}, {\"weight\": 3881, \"source\": 6, \"target\": 8}, {\"weight\": 17099, \"source\": 6, \"target\": 7}, {\"weight\": 16366, \"source\": 7, \"target\": 8}]}",
"id": 816,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TBI, CNX, KZI, BKW, WNZ, PGF, HVG, BWT, TPS\n- Travel distances (in kilometers) between each pair of airports:\nTBI to WNZ: 14035\nTBI to CNX: 15757\nTBI to PGF: 8228\nTBI to TPS: 9018\nTBI to KZI: 9939\nTBI to BWT: 17168\nTBI to BKW: 2156\nTBI to HVG: 8817\nCNX to WNZ: 2456\nCNX to PGF: 9985\nCNX to TPS: 8862\nCNX to KZI: 8020\nCNX to BWT: 8305\nCNX to BKW: 14364\nCNX to HVG: 9363\nKZI to WNZ: 9049\nKZI to PGF: 3089\nKZI to TPS: 1478\nKZI to BWT: 15608\nKZI to BKW: 8958\nKZI to HVG: 4188\nBKW to WNZ: 12684\nBKW to PGF: 7172\nBKW to TPS: 7887\nBKW to BWT: 17085\nBKW to HVG: 7547\nWNZ to PGF: 10304\nWNZ to TPS: 9841\nWNZ to BWT: 8182\nWNZ to HVG: 9319\nPGF to TPS: 2163\nPGF to BWT: 17842\nPGF to HVG: 3453\nHVG to TPS: 3881\nHVG to BWT: 17099\nBWT to TPS: 16366\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: FAE, UYU, MLA, TKU, EBH, GOU, NUP, JLN, BMU\n- Travel distances (in kilometers) between each pair of airports:\nFAE to TKU: 1663\nFAE to NUP: 10994\nFAE to JLN: 8809\nFAE to MLA: 3417\nFAE to EBH: 3649\nFAE to BMU: 13035\nFAE to GOU: 6521\nFAE to UYU: 12867\nUYU to TKU: 12771\nUYU to NUP: 12411\nUYU to JLN: 7369\nUYU to MLA: 11583\nUYU to EBH: 11041\nUYU to BMU: 18734\nUYU to GOU: 10672\nMLA to TKU: 2803\nMLA to NUP: 12799\nMLA to JLN: 10097\nMLA to EBH: 1402\nMLA to BMU: 11930\nMLA to GOU: 5190\nTKU to NUP: 11210\nTKU to JLN: 8930\nTKU to EBH: 3394\nTKU to BMU: 11401\nTKU to GOU: 6033\nEBH to NUP: 12715\nEBH to JLN: 9612\nEBH to BMU: 13313\nEBH to GOU: 4731\nGOU to NUP: 15663\nGOU to JLN: 12574\nGOU to BMU: 12454\nNUP to JLN: 6094\nNUP to BMU: 16650\nJLN to BMU: 16845\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 63399,
"style": "rule"
}
|
{
"exact_answer": 63399,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"FAE\", \"id\": 0}, {\"name\": \"UYU\", \"id\": 1}, {\"name\": \"MLA\", \"id\": 2}, {\"name\": \"TKU\", \"id\": 3}, {\"name\": \"EBH\", \"id\": 4}, {\"name\": \"GOU\", \"id\": 5}, {\"name\": \"NUP\", \"id\": 6}, {\"name\": \"JLN\", \"id\": 7}, {\"name\": \"BMU\", \"id\": 8}], \"links\": [{\"weight\": 1663, \"source\": 0, \"target\": 3}, {\"weight\": 10994, \"source\": 0, \"target\": 6}, {\"weight\": 8809, \"source\": 0, \"target\": 7}, {\"weight\": 3417, \"source\": 0, \"target\": 2}, {\"weight\": 3649, \"source\": 0, \"target\": 4}, {\"weight\": 13035, \"source\": 0, \"target\": 8}, {\"weight\": 6521, \"source\": 0, \"target\": 5}, {\"weight\": 12867, \"source\": 0, \"target\": 1}, {\"weight\": 12771, \"source\": 1, \"target\": 3}, {\"weight\": 12411, \"source\": 1, \"target\": 6}, {\"weight\": 7369, \"source\": 1, \"target\": 7}, {\"weight\": 11583, \"source\": 1, \"target\": 2}, {\"weight\": 11041, \"source\": 1, \"target\": 4}, {\"weight\": 18734, \"source\": 1, \"target\": 8}, {\"weight\": 10672, \"source\": 1, \"target\": 5}, {\"weight\": 2803, \"source\": 2, \"target\": 3}, {\"weight\": 12799, \"source\": 2, \"target\": 6}, {\"weight\": 10097, \"source\": 2, \"target\": 7}, {\"weight\": 1402, \"source\": 2, \"target\": 4}, {\"weight\": 11930, \"source\": 2, \"target\": 8}, {\"weight\": 5190, \"source\": 2, \"target\": 5}, {\"weight\": 11210, \"source\": 3, \"target\": 6}, {\"weight\": 8930, \"source\": 3, \"target\": 7}, {\"weight\": 3394, \"source\": 3, \"target\": 4}, {\"weight\": 11401, \"source\": 3, \"target\": 8}, {\"weight\": 6033, \"source\": 3, \"target\": 5}, {\"weight\": 12715, \"source\": 4, \"target\": 6}, {\"weight\": 9612, \"source\": 4, \"target\": 7}, {\"weight\": 13313, \"source\": 4, \"target\": 8}, {\"weight\": 4731, \"source\": 4, \"target\": 5}, {\"weight\": 15663, \"source\": 5, \"target\": 6}, {\"weight\": 12574, \"source\": 5, \"target\": 7}, {\"weight\": 12454, \"source\": 5, \"target\": 8}, {\"weight\": 6094, \"source\": 6, \"target\": 7}, {\"weight\": 16650, \"source\": 6, \"target\": 8}, {\"weight\": 16845, \"source\": 7, \"target\": 8}]}",
"id": 817,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: FAE, UYU, MLA, TKU, EBH, GOU, NUP, JLN, BMU\n- Travel distances (in kilometers) between each pair of airports:\nFAE to TKU: 1663\nFAE to NUP: 10994\nFAE to JLN: 8809\nFAE to MLA: 3417\nFAE to EBH: 3649\nFAE to BMU: 13035\nFAE to GOU: 6521\nFAE to UYU: 12867\nUYU to TKU: 12771\nUYU to NUP: 12411\nUYU to JLN: 7369\nUYU to MLA: 11583\nUYU to EBH: 11041\nUYU to BMU: 18734\nUYU to GOU: 10672\nMLA to TKU: 2803\nMLA to NUP: 12799\nMLA to JLN: 10097\nMLA to EBH: 1402\nMLA to BMU: 11930\nMLA to GOU: 5190\nTKU to NUP: 11210\nTKU to JLN: 8930\nTKU to EBH: 3394\nTKU to BMU: 11401\nTKU to GOU: 6033\nEBH to NUP: 12715\nEBH to JLN: 9612\nEBH to BMU: 13313\nEBH to GOU: 4731\nGOU to NUP: 15663\nGOU to JLN: 12574\nGOU to BMU: 12454\nNUP to JLN: 6094\nNUP to BMU: 16650\nJLN to BMU: 16845\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: VAA, YGH, AHO, KSC, PEI, IAD, MMH, AOJ, YVZ\n- Travel distances (in kilometers) between each pair of airports:\nVAA to IAD: 7065\nVAA to MMH: 9703\nVAA to PEI: 10467\nVAA to AHO: 2649\nVAA to KSC: 2045\nVAA to YGH: 9326\nVAA to AOJ: 8328\nVAA to YVZ: 8252\nYGH to IAD: 4638\nYGH to MMH: 4430\nYGH to PEI: 8254\nYGH to AHO: 10029\nYGH to KSC: 10009\nYGH to AOJ: 10782\nYGH to YVZ: 3471\nAHO to IAD: 7126\nAHO to MMH: 10579\nAHO to PEI: 9207\nAHO to KSC: 1398\nAHO to AOJ: 10073\nAHO to YVZ: 8563\nKSC to IAD: 7440\nKSC to MMH: 10590\nKSC to PEI: 10198\nKSC to AOJ: 9358\nKSC to YVZ: 8733\nPEI to IAD: 3948\nPEI to MMH: 5877\nPEI to AOJ: 14782\nPEI to YVZ: 5939\nIAD to MMH: 4084\nIAD to AOJ: 11872\nIAD to YVZ: 2067\nMMH to AOJ: 9804\nMMH to YVZ: 3350\nAOJ to YVZ: 10454\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 44698,
"style": "rule"
}
|
{
"exact_answer": 44698,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"VAA\", \"id\": 0}, {\"name\": \"YGH\", \"id\": 1}, {\"name\": \"AHO\", \"id\": 2}, {\"name\": \"KSC\", \"id\": 3}, {\"name\": \"PEI\", \"id\": 4}, {\"name\": \"IAD\", \"id\": 5}, {\"name\": \"MMH\", \"id\": 6}, {\"name\": \"AOJ\", \"id\": 7}, {\"name\": \"YVZ\", \"id\": 8}], \"links\": [{\"weight\": 7065, \"source\": 0, \"target\": 5}, {\"weight\": 9703, \"source\": 0, \"target\": 6}, {\"weight\": 10467, \"source\": 0, \"target\": 4}, {\"weight\": 2649, \"source\": 0, \"target\": 2}, {\"weight\": 2045, \"source\": 0, \"target\": 3}, {\"weight\": 9326, \"source\": 0, \"target\": 1}, {\"weight\": 8328, \"source\": 0, \"target\": 7}, {\"weight\": 8252, \"source\": 0, \"target\": 8}, {\"weight\": 4638, \"source\": 1, \"target\": 5}, {\"weight\": 4430, \"source\": 1, \"target\": 6}, {\"weight\": 8254, \"source\": 1, \"target\": 4}, {\"weight\": 10029, \"source\": 1, \"target\": 2}, {\"weight\": 10009, \"source\": 1, \"target\": 3}, {\"weight\": 10782, \"source\": 1, \"target\": 7}, {\"weight\": 3471, \"source\": 1, \"target\": 8}, {\"weight\": 7126, \"source\": 2, \"target\": 5}, {\"weight\": 10579, \"source\": 2, \"target\": 6}, {\"weight\": 9207, \"source\": 2, \"target\": 4}, {\"weight\": 1398, \"source\": 2, \"target\": 3}, {\"weight\": 10073, \"source\": 2, \"target\": 7}, {\"weight\": 8563, \"source\": 2, \"target\": 8}, {\"weight\": 7440, \"source\": 3, \"target\": 5}, {\"weight\": 10590, \"source\": 3, \"target\": 6}, {\"weight\": 10198, \"source\": 3, \"target\": 4}, {\"weight\": 9358, \"source\": 3, \"target\": 7}, {\"weight\": 8733, \"source\": 3, \"target\": 8}, {\"weight\": 3948, \"source\": 4, \"target\": 5}, {\"weight\": 5877, \"source\": 4, \"target\": 6}, {\"weight\": 14782, \"source\": 4, \"target\": 7}, {\"weight\": 5939, \"source\": 4, \"target\": 8}, {\"weight\": 4084, \"source\": 5, \"target\": 6}, {\"weight\": 11872, \"source\": 5, \"target\": 7}, {\"weight\": 2067, \"source\": 5, \"target\": 8}, {\"weight\": 9804, \"source\": 6, \"target\": 7}, {\"weight\": 3350, \"source\": 6, \"target\": 8}, {\"weight\": 10454, \"source\": 7, \"target\": 8}]}",
"id": 818,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: VAA, YGH, AHO, KSC, PEI, IAD, MMH, AOJ, YVZ\n- Travel distances (in kilometers) between each pair of airports:\nVAA to IAD: 7065\nVAA to MMH: 9703\nVAA to PEI: 10467\nVAA to AHO: 2649\nVAA to KSC: 2045\nVAA to YGH: 9326\nVAA to AOJ: 8328\nVAA to YVZ: 8252\nYGH to IAD: 4638\nYGH to MMH: 4430\nYGH to PEI: 8254\nYGH to AHO: 10029\nYGH to KSC: 10009\nYGH to AOJ: 10782\nYGH to YVZ: 3471\nAHO to IAD: 7126\nAHO to MMH: 10579\nAHO to PEI: 9207\nAHO to KSC: 1398\nAHO to AOJ: 10073\nAHO to YVZ: 8563\nKSC to IAD: 7440\nKSC to MMH: 10590\nKSC to PEI: 10198\nKSC to AOJ: 9358\nKSC to YVZ: 8733\nPEI to IAD: 3948\nPEI to MMH: 5877\nPEI to AOJ: 14782\nPEI to YVZ: 5939\nIAD to MMH: 4084\nIAD to AOJ: 11872\nIAD to YVZ: 2067\nMMH to AOJ: 9804\nMMH to YVZ: 3350\nAOJ to YVZ: 10454\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ORN, PSP, NSH, YKT, LAM, MJZ, TKP, ABE, CNS\n- Travel distances (in kilometers) between each pair of airports:\nORN to MJZ: 7849\nORN to YKT: 9710\nORN to ABE: 6595\nORN to CNS: 16158\nORN to PSP: 9995\nORN to NSH: 4785\nORN to LAM: 10195\nORN to TKP: 17227\nPSP to MJZ: 12741\nPSP to YKT: 2337\nPSP to ABE: 3703\nPSP to CNS: 13099\nPSP to NSH: 12940\nPSP to LAM: 2003\nPSP to TKP: 7418\nNSH to MJZ: 5607\nNSH to YKT: 12485\nNSH to ABE: 10442\nNSH to CNS: 11773\nNSH to LAM: 13624\nNSH to TKP: 17888\nYKT to MJZ: 11884\nYKT to ABE: 4375\nYKT to CNS: 13839\nYKT to LAM: 3675\nYKT to TKP: 9526\nLAM to MJZ: 14424\nLAM to ABE: 3902\nLAM to CNS: 15069\nLAM to TKP: 9388\nMJZ to ABE: 11944\nMJZ to CNS: 9719\nMJZ to TKP: 13914\nTKP to ABE: 11094\nTKP to CNS: 8105\nABE to CNS: 16775\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 52143,
"style": "rule"
}
|
{
"exact_answer": 52143,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"ORN\", \"id\": 0}, {\"name\": \"PSP\", \"id\": 1}, {\"name\": \"NSH\", \"id\": 2}, {\"name\": \"YKT\", \"id\": 3}, {\"name\": \"LAM\", \"id\": 4}, {\"name\": \"MJZ\", \"id\": 5}, {\"name\": \"TKP\", \"id\": 6}, {\"name\": \"ABE\", \"id\": 7}, {\"name\": \"CNS\", \"id\": 8}], \"links\": [{\"weight\": 7849, \"source\": 0, \"target\": 5}, {\"weight\": 9710, \"source\": 0, \"target\": 3}, {\"weight\": 6595, \"source\": 0, \"target\": 7}, {\"weight\": 16158, \"source\": 0, \"target\": 8}, {\"weight\": 9995, \"source\": 0, \"target\": 1}, {\"weight\": 4785, \"source\": 0, \"target\": 2}, {\"weight\": 10195, \"source\": 0, \"target\": 4}, {\"weight\": 17227, \"source\": 0, \"target\": 6}, {\"weight\": 12741, \"source\": 1, \"target\": 5}, {\"weight\": 2337, \"source\": 1, \"target\": 3}, {\"weight\": 3703, \"source\": 1, \"target\": 7}, {\"weight\": 13099, \"source\": 1, \"target\": 8}, {\"weight\": 12940, \"source\": 1, \"target\": 2}, {\"weight\": 2003, \"source\": 1, \"target\": 4}, {\"weight\": 7418, \"source\": 1, \"target\": 6}, {\"weight\": 5607, \"source\": 2, \"target\": 5}, {\"weight\": 12485, \"source\": 2, \"target\": 3}, {\"weight\": 10442, \"source\": 2, \"target\": 7}, {\"weight\": 11773, \"source\": 2, \"target\": 8}, {\"weight\": 13624, \"source\": 2, \"target\": 4}, {\"weight\": 17888, \"source\": 2, \"target\": 6}, {\"weight\": 11884, \"source\": 3, \"target\": 5}, {\"weight\": 4375, \"source\": 3, \"target\": 7}, {\"weight\": 13839, \"source\": 3, \"target\": 8}, {\"weight\": 3675, \"source\": 3, \"target\": 4}, {\"weight\": 9526, \"source\": 3, \"target\": 6}, {\"weight\": 14424, \"source\": 4, \"target\": 5}, {\"weight\": 3902, \"source\": 4, \"target\": 7}, {\"weight\": 15069, \"source\": 4, \"target\": 8}, {\"weight\": 9388, \"source\": 4, \"target\": 6}, {\"weight\": 11944, \"source\": 5, \"target\": 7}, {\"weight\": 9719, \"source\": 5, \"target\": 8}, {\"weight\": 13914, \"source\": 5, \"target\": 6}, {\"weight\": 11094, \"source\": 6, \"target\": 7}, {\"weight\": 8105, \"source\": 6, \"target\": 8}, {\"weight\": 16775, \"source\": 7, \"target\": 8}]}",
"id": 819,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ORN, PSP, NSH, YKT, LAM, MJZ, TKP, ABE, CNS\n- Travel distances (in kilometers) between each pair of airports:\nORN to MJZ: 7849\nORN to YKT: 9710\nORN to ABE: 6595\nORN to CNS: 16158\nORN to PSP: 9995\nORN to NSH: 4785\nORN to LAM: 10195\nORN to TKP: 17227\nPSP to MJZ: 12741\nPSP to YKT: 2337\nPSP to ABE: 3703\nPSP to CNS: 13099\nPSP to NSH: 12940\nPSP to LAM: 2003\nPSP to TKP: 7418\nNSH to MJZ: 5607\nNSH to YKT: 12485\nNSH to ABE: 10442\nNSH to CNS: 11773\nNSH to LAM: 13624\nNSH to TKP: 17888\nYKT to MJZ: 11884\nYKT to ABE: 4375\nYKT to CNS: 13839\nYKT to LAM: 3675\nYKT to TKP: 9526\nLAM to MJZ: 14424\nLAM to ABE: 3902\nLAM to CNS: 15069\nLAM to TKP: 9388\nMJZ to ABE: 11944\nMJZ to CNS: 9719\nMJZ to TKP: 13914\nTKP to ABE: 11094\nTKP to CNS: 8105\nABE to CNS: 16775\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ABL, LDE, AUC, CSY, LEA, WYA, LCE, DRS, KCH\n- Travel distances (in kilometers) between each pair of airports:\nABL to DRS: 11917\nABL to CSY: 13050\nABL to AUC: 10373\nABL to LDE: 12074\nABL to KCH: 15963\nABL to LCE: 8174\nABL to LEA: 17813\nABL to WYA: 14961\nLDE to DRS: 1612\nLDE to CSY: 3671\nLDE to AUC: 8910\nLDE to KCH: 11776\nLDE to LCE: 8836\nLDE to LEA: 15586\nLDE to WYA: 16686\nAUC to DRS: 9917\nAUC to CSY: 11908\nAUC to KCH: 19645\nAUC to LCE: 2421\nAUC to LEA: 20419\nAUC to WYA: 17441\nCSY to DRS: 2877\nCSY to KCH: 9598\nCSY to LCE: 11038\nCSY to LEA: 13949\nCSY to WYA: 14599\nLEA to DRS: 14900\nLEA to KCH: 5062\nLEA to LCE: 20042\nLEA to WYA: 3438\nWYA to DRS: 15692\nWYA to KCH: 5442\nWYA to LCE: 17190\nLCE to DRS: 9399\nLCE to KCH: 17430\nDRS to KCH: 10797\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 57053,
"style": "rule"
}
|
{
"exact_answer": 57053,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"ABL\", \"id\": 0}, {\"name\": \"LDE\", \"id\": 1}, {\"name\": \"AUC\", \"id\": 2}, {\"name\": \"CSY\", \"id\": 3}, {\"name\": \"LEA\", \"id\": 4}, {\"name\": \"WYA\", \"id\": 5}, {\"name\": \"LCE\", \"id\": 6}, {\"name\": \"DRS\", \"id\": 7}, {\"name\": \"KCH\", \"id\": 8}], \"links\": [{\"weight\": 11917, \"source\": 0, \"target\": 7}, {\"weight\": 13050, \"source\": 0, \"target\": 3}, {\"weight\": 10373, \"source\": 0, \"target\": 2}, {\"weight\": 12074, \"source\": 0, \"target\": 1}, {\"weight\": 15963, \"source\": 0, \"target\": 8}, {\"weight\": 8174, \"source\": 0, \"target\": 6}, {\"weight\": 17813, \"source\": 0, \"target\": 4}, {\"weight\": 14961, \"source\": 0, \"target\": 5}, {\"weight\": 1612, \"source\": 1, \"target\": 7}, {\"weight\": 3671, \"source\": 1, \"target\": 3}, {\"weight\": 8910, \"source\": 1, \"target\": 2}, {\"weight\": 11776, \"source\": 1, \"target\": 8}, {\"weight\": 8836, \"source\": 1, \"target\": 6}, {\"weight\": 15586, \"source\": 1, \"target\": 4}, {\"weight\": 16686, \"source\": 1, \"target\": 5}, {\"weight\": 9917, \"source\": 2, \"target\": 7}, {\"weight\": 11908, \"source\": 2, \"target\": 3}, {\"weight\": 19645, \"source\": 2, \"target\": 8}, {\"weight\": 2421, \"source\": 2, \"target\": 6}, {\"weight\": 20419, \"source\": 2, \"target\": 4}, {\"weight\": 17441, \"source\": 2, \"target\": 5}, {\"weight\": 2877, \"source\": 3, \"target\": 7}, {\"weight\": 9598, \"source\": 3, \"target\": 8}, {\"weight\": 11038, \"source\": 3, \"target\": 6}, {\"weight\": 13949, \"source\": 3, \"target\": 4}, {\"weight\": 14599, \"source\": 3, \"target\": 5}, {\"weight\": 14900, \"source\": 4, \"target\": 7}, {\"weight\": 5062, \"source\": 4, \"target\": 8}, {\"weight\": 20042, \"source\": 4, \"target\": 6}, {\"weight\": 3438, \"source\": 4, \"target\": 5}, {\"weight\": 15692, \"source\": 5, \"target\": 7}, {\"weight\": 5442, \"source\": 5, \"target\": 8}, {\"weight\": 17190, \"source\": 5, \"target\": 6}, {\"weight\": 9399, \"source\": 6, \"target\": 7}, {\"weight\": 17430, \"source\": 6, \"target\": 8}, {\"weight\": 10797, \"source\": 7, \"target\": 8}]}",
"id": 820,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ABL, LDE, AUC, CSY, LEA, WYA, LCE, DRS, KCH\n- Travel distances (in kilometers) between each pair of airports:\nABL to DRS: 11917\nABL to CSY: 13050\nABL to AUC: 10373\nABL to LDE: 12074\nABL to KCH: 15963\nABL to LCE: 8174\nABL to LEA: 17813\nABL to WYA: 14961\nLDE to DRS: 1612\nLDE to CSY: 3671\nLDE to AUC: 8910\nLDE to KCH: 11776\nLDE to LCE: 8836\nLDE to LEA: 15586\nLDE to WYA: 16686\nAUC to DRS: 9917\nAUC to CSY: 11908\nAUC to KCH: 19645\nAUC to LCE: 2421\nAUC to LEA: 20419\nAUC to WYA: 17441\nCSY to DRS: 2877\nCSY to KCH: 9598\nCSY to LCE: 11038\nCSY to LEA: 13949\nCSY to WYA: 14599\nLEA to DRS: 14900\nLEA to KCH: 5062\nLEA to LCE: 20042\nLEA to WYA: 3438\nWYA to DRS: 15692\nWYA to KCH: 5442\nWYA to LCE: 17190\nLCE to DRS: 9399\nLCE to KCH: 17430\nDRS to KCH: 10797\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LTN, BOJ, URC, KSJ, ZQN, HMB, MDL, NGE, OKJ\n- Travel distances (in kilometers) between each pair of airports:\nLTN to BOJ: 2326\nLTN to URC: 6216\nLTN to MDL: 9587\nLTN to KSJ: 2865\nLTN to OKJ: 9636\nLTN to ZQN: 18950\nLTN to HMB: 3986\nLTN to NGE: 5191\nBOJ to URC: 5377\nBOJ to MDL: 8247\nBOJ to KSJ: 1288\nBOJ to OKJ: 8965\nBOJ to ZQN: 17620\nBOJ to HMB: 2409\nBOJ to NGE: 4822\nURC to MDL: 3484\nURC to KSJ: 5689\nURC to OKJ: 4061\nURC to ZQN: 12734\nURC to HMB: 5513\nURC to NGE: 8398\nKSJ to MDL: 8291\nKSJ to OKJ: 9629\nKSJ to ZQN: 17311\nKSJ to HMB: 1963\nKSJ to NGE: 4984\nZQN to MDL: 10476\nZQN to OKJ: 9778\nZQN to HMB: 16131\nZQN to NGE: 17164\nHMB to MDL: 7253\nHMB to OKJ: 9574\nHMB to NGE: 4256\nMDL to OKJ: 3961\nMDL to NGE: 9879\nNGE to OKJ: 12398\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 50243,
"style": "rule"
}
|
{
"exact_answer": 50243,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"LTN\", \"id\": 0}, {\"name\": \"BOJ\", \"id\": 1}, {\"name\": \"URC\", \"id\": 2}, {\"name\": \"KSJ\", \"id\": 3}, {\"name\": \"ZQN\", \"id\": 4}, {\"name\": \"HMB\", \"id\": 5}, {\"name\": \"MDL\", \"id\": 6}, {\"name\": \"NGE\", \"id\": 7}, {\"name\": \"OKJ\", \"id\": 8}], \"links\": [{\"weight\": 2326, \"source\": 0, \"target\": 1}, {\"weight\": 6216, \"source\": 0, \"target\": 2}, {\"weight\": 9587, \"source\": 0, \"target\": 6}, {\"weight\": 2865, \"source\": 0, \"target\": 3}, {\"weight\": 9636, \"source\": 0, \"target\": 8}, {\"weight\": 18950, \"source\": 0, \"target\": 4}, {\"weight\": 3986, \"source\": 0, \"target\": 5}, {\"weight\": 5191, \"source\": 0, \"target\": 7}, {\"weight\": 5377, \"source\": 1, \"target\": 2}, {\"weight\": 8247, \"source\": 1, \"target\": 6}, {\"weight\": 1288, \"source\": 1, \"target\": 3}, {\"weight\": 8965, \"source\": 1, \"target\": 8}, {\"weight\": 17620, \"source\": 1, \"target\": 4}, {\"weight\": 2409, \"source\": 1, \"target\": 5}, {\"weight\": 4822, \"source\": 1, \"target\": 7}, {\"weight\": 3484, \"source\": 2, \"target\": 6}, {\"weight\": 5689, \"source\": 2, \"target\": 3}, {\"weight\": 4061, \"source\": 2, \"target\": 8}, {\"weight\": 12734, \"source\": 2, \"target\": 4}, {\"weight\": 5513, \"source\": 2, \"target\": 5}, {\"weight\": 8398, \"source\": 2, \"target\": 7}, {\"weight\": 8291, \"source\": 3, \"target\": 6}, {\"weight\": 9629, \"source\": 3, \"target\": 8}, {\"weight\": 17311, \"source\": 3, \"target\": 4}, {\"weight\": 1963, \"source\": 3, \"target\": 5}, {\"weight\": 4984, \"source\": 3, \"target\": 7}, {\"weight\": 10476, \"source\": 4, \"target\": 6}, {\"weight\": 9778, \"source\": 4, \"target\": 8}, {\"weight\": 16131, \"source\": 4, \"target\": 5}, {\"weight\": 17164, \"source\": 4, \"target\": 7}, {\"weight\": 7253, \"source\": 5, \"target\": 6}, {\"weight\": 9574, \"source\": 5, \"target\": 8}, {\"weight\": 4256, \"source\": 5, \"target\": 7}, {\"weight\": 3961, \"source\": 6, \"target\": 8}, {\"weight\": 9879, \"source\": 6, \"target\": 7}, {\"weight\": 12398, \"source\": 7, \"target\": 8}]}",
"id": 821,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LTN, BOJ, URC, KSJ, ZQN, HMB, MDL, NGE, OKJ\n- Travel distances (in kilometers) between each pair of airports:\nLTN to BOJ: 2326\nLTN to URC: 6216\nLTN to MDL: 9587\nLTN to KSJ: 2865\nLTN to OKJ: 9636\nLTN to ZQN: 18950\nLTN to HMB: 3986\nLTN to NGE: 5191\nBOJ to URC: 5377\nBOJ to MDL: 8247\nBOJ to KSJ: 1288\nBOJ to OKJ: 8965\nBOJ to ZQN: 17620\nBOJ to HMB: 2409\nBOJ to NGE: 4822\nURC to MDL: 3484\nURC to KSJ: 5689\nURC to OKJ: 4061\nURC to ZQN: 12734\nURC to HMB: 5513\nURC to NGE: 8398\nKSJ to MDL: 8291\nKSJ to OKJ: 9629\nKSJ to ZQN: 17311\nKSJ to HMB: 1963\nKSJ to NGE: 4984\nZQN to MDL: 10476\nZQN to OKJ: 9778\nZQN to HMB: 16131\nZQN to NGE: 17164\nHMB to MDL: 7253\nHMB to OKJ: 9574\nHMB to NGE: 4256\nMDL to OKJ: 3961\nMDL to NGE: 9879\nNGE to OKJ: 12398\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: IXU, PBH, TJM, UFA, DME, ARK, DBA, GSP, ROO\n- Travel distances (in kilometers) between each pair of airports:\nIXU to DME: 5291\nIXU to TJM: 4353\nIXU to UFA: 4340\nIXU to GSP: 13683\nIXU to ROO: 15507\nIXU to PBH: 2199\nIXU to DBA: 1671\nIXU to ARK: 5838\nPBH to DME: 5524\nPBH to TJM: 4586\nPBH to UFA: 4573\nPBH to GSP: 13916\nPBH to ROO: 17016\nPBH to DBA: 2760\nPBH to ARK: 7482\nTJM to DME: 1691\nTJM to UFA: 656\nTJM to GSP: 9887\nTJM to ROO: 13944\nTJM to DBA: 4923\nTJM to ARK: 8163\nUFA to DME: 1147\nUFA to GSP: 9491\nUFA to ROO: 13401\nUFA to DBA: 4307\nUFA to ARK: 7507\nDME to GSP: 8492\nDME to ROO: 12254\nDME to DBA: 4743\nDME to ARK: 7322\nARK to GSP: 14150\nARK to ROO: 11725\nARK to DBA: 5231\nDBA to GSP: 13089\nDBA to ROO: 14797\nGSP to ROO: 6989\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 42696,
"style": "rule"
}
|
{
"exact_answer": 42696,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"IXU\", \"id\": 0}, {\"name\": \"PBH\", \"id\": 1}, {\"name\": \"TJM\", \"id\": 2}, {\"name\": \"UFA\", \"id\": 3}, {\"name\": \"DME\", \"id\": 4}, {\"name\": \"ARK\", \"id\": 5}, {\"name\": \"DBA\", \"id\": 6}, {\"name\": \"GSP\", \"id\": 7}, {\"name\": \"ROO\", \"id\": 8}], \"links\": [{\"weight\": 5291, \"source\": 0, \"target\": 4}, {\"weight\": 4353, \"source\": 0, \"target\": 2}, {\"weight\": 4340, \"source\": 0, \"target\": 3}, {\"weight\": 13683, \"source\": 0, \"target\": 7}, {\"weight\": 15507, \"source\": 0, \"target\": 8}, {\"weight\": 2199, \"source\": 0, \"target\": 1}, {\"weight\": 1671, \"source\": 0, \"target\": 6}, {\"weight\": 5838, \"source\": 0, \"target\": 5}, {\"weight\": 5524, \"source\": 1, \"target\": 4}, {\"weight\": 4586, \"source\": 1, \"target\": 2}, {\"weight\": 4573, \"source\": 1, \"target\": 3}, {\"weight\": 13916, \"source\": 1, \"target\": 7}, {\"weight\": 17016, \"source\": 1, \"target\": 8}, {\"weight\": 2760, \"source\": 1, \"target\": 6}, {\"weight\": 7482, \"source\": 1, \"target\": 5}, {\"weight\": 1691, \"source\": 2, \"target\": 4}, {\"weight\": 656, \"source\": 2, \"target\": 3}, {\"weight\": 9887, \"source\": 2, \"target\": 7}, {\"weight\": 13944, \"source\": 2, \"target\": 8}, {\"weight\": 4923, \"source\": 2, \"target\": 6}, {\"weight\": 8163, \"source\": 2, \"target\": 5}, {\"weight\": 1147, \"source\": 3, \"target\": 4}, {\"weight\": 9491, \"source\": 3, \"target\": 7}, {\"weight\": 13401, \"source\": 3, \"target\": 8}, {\"weight\": 4307, \"source\": 3, \"target\": 6}, {\"weight\": 7507, \"source\": 3, \"target\": 5}, {\"weight\": 8492, \"source\": 4, \"target\": 7}, {\"weight\": 12254, \"source\": 4, \"target\": 8}, {\"weight\": 4743, \"source\": 4, \"target\": 6}, {\"weight\": 7322, \"source\": 4, \"target\": 5}, {\"weight\": 14150, \"source\": 5, \"target\": 7}, {\"weight\": 11725, \"source\": 5, \"target\": 8}, {\"weight\": 5231, \"source\": 5, \"target\": 6}, {\"weight\": 13089, \"source\": 6, \"target\": 7}, {\"weight\": 14797, \"source\": 6, \"target\": 8}, {\"weight\": 6989, \"source\": 7, \"target\": 8}]}",
"id": 822,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: IXU, PBH, TJM, UFA, DME, ARK, DBA, GSP, ROO\n- Travel distances (in kilometers) between each pair of airports:\nIXU to DME: 5291\nIXU to TJM: 4353\nIXU to UFA: 4340\nIXU to GSP: 13683\nIXU to ROO: 15507\nIXU to PBH: 2199\nIXU to DBA: 1671\nIXU to ARK: 5838\nPBH to DME: 5524\nPBH to TJM: 4586\nPBH to UFA: 4573\nPBH to GSP: 13916\nPBH to ROO: 17016\nPBH to DBA: 2760\nPBH to ARK: 7482\nTJM to DME: 1691\nTJM to UFA: 656\nTJM to GSP: 9887\nTJM to ROO: 13944\nTJM to DBA: 4923\nTJM to ARK: 8163\nUFA to DME: 1147\nUFA to GSP: 9491\nUFA to ROO: 13401\nUFA to DBA: 4307\nUFA to ARK: 7507\nDME to GSP: 8492\nDME to ROO: 12254\nDME to DBA: 4743\nDME to ARK: 7322\nARK to GSP: 14150\nARK to ROO: 11725\nARK to DBA: 5231\nDBA to GSP: 13089\nDBA to ROO: 14797\nGSP to ROO: 6989\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: AKL, PAT, SZA, GTO, YGW, YIN, MGF, LUW, INU\n- Travel distances (in kilometers) between each pair of airports:\nAKL to YGW: 14540\nAKL to PAT: 11663\nAKL to MGF: 12377\nAKL to YIN: 13000\nAKL to SZA: 15988\nAKL to GTO: 8146\nAKL to LUW: 7987\nAKL to INU: 5060\nPAT to YGW: 13803\nPAT to MGF: 15771\nPAT to YIN: 3717\nPAT to SZA: 9050\nPAT to GTO: 5952\nPAT to LUW: 5816\nPAT to INU: 10684\nSZA to YGW: 12248\nSZA to MGF: 7414\nSZA to YIN: 10348\nSZA to GTO: 13499\nSZA to LUW: 13363\nSZA to INU: 17908\nGTO to YGW: 16952\nGTO to MGF: 19238\nGTO to YIN: 7769\nGTO to LUW: 1303\nGTO to INU: 9179\nYGW to MGF: 9809\nYGW to YIN: 12944\nYGW to LUW: 16793\nYGW to INU: 12425\nYIN to MGF: 16329\nYIN to LUW: 7610\nYIN to INU: 11162\nMGF to LUW: 19102\nMGF to INU: 17437\nLUW to INU: 9020\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 64015,
"style": "rule"
}
|
{
"exact_answer": 64015,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"AKL\", \"id\": 0}, {\"name\": \"PAT\", \"id\": 1}, {\"name\": \"SZA\", \"id\": 2}, {\"name\": \"GTO\", \"id\": 3}, {\"name\": \"YGW\", \"id\": 4}, {\"name\": \"YIN\", \"id\": 5}, {\"name\": \"MGF\", \"id\": 6}, {\"name\": \"LUW\", \"id\": 7}, {\"name\": \"INU\", \"id\": 8}], \"links\": [{\"weight\": 14540, \"source\": 0, \"target\": 4}, {\"weight\": 11663, \"source\": 0, \"target\": 1}, {\"weight\": 12377, \"source\": 0, \"target\": 6}, {\"weight\": 13000, \"source\": 0, \"target\": 5}, {\"weight\": 15988, \"source\": 0, \"target\": 2}, {\"weight\": 8146, \"source\": 0, \"target\": 3}, {\"weight\": 7987, \"source\": 0, \"target\": 7}, {\"weight\": 5060, \"source\": 0, \"target\": 8}, {\"weight\": 13803, \"source\": 1, \"target\": 4}, {\"weight\": 15771, \"source\": 1, \"target\": 6}, {\"weight\": 3717, \"source\": 1, \"target\": 5}, {\"weight\": 9050, \"source\": 1, \"target\": 2}, {\"weight\": 5952, \"source\": 1, \"target\": 3}, {\"weight\": 5816, \"source\": 1, \"target\": 7}, {\"weight\": 10684, \"source\": 1, \"target\": 8}, {\"weight\": 12248, \"source\": 2, \"target\": 4}, {\"weight\": 7414, \"source\": 2, \"target\": 6}, {\"weight\": 10348, \"source\": 2, \"target\": 5}, {\"weight\": 13499, \"source\": 2, \"target\": 3}, {\"weight\": 13363, \"source\": 2, \"target\": 7}, {\"weight\": 17908, \"source\": 2, \"target\": 8}, {\"weight\": 16952, \"source\": 3, \"target\": 4}, {\"weight\": 19238, \"source\": 3, \"target\": 6}, {\"weight\": 7769, \"source\": 3, \"target\": 5}, {\"weight\": 1303, \"source\": 3, \"target\": 7}, {\"weight\": 9179, \"source\": 3, \"target\": 8}, {\"weight\": 9809, \"source\": 4, \"target\": 6}, {\"weight\": 12944, \"source\": 4, \"target\": 5}, {\"weight\": 16793, \"source\": 4, \"target\": 7}, {\"weight\": 12425, \"source\": 4, \"target\": 8}, {\"weight\": 16329, \"source\": 5, \"target\": 6}, {\"weight\": 7610, \"source\": 5, \"target\": 7}, {\"weight\": 11162, \"source\": 5, \"target\": 8}, {\"weight\": 19102, \"source\": 6, \"target\": 7}, {\"weight\": 17437, \"source\": 6, \"target\": 8}, {\"weight\": 9020, \"source\": 7, \"target\": 8}]}",
"id": 823,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: AKL, PAT, SZA, GTO, YGW, YIN, MGF, LUW, INU\n- Travel distances (in kilometers) between each pair of airports:\nAKL to YGW: 14540\nAKL to PAT: 11663\nAKL to MGF: 12377\nAKL to YIN: 13000\nAKL to SZA: 15988\nAKL to GTO: 8146\nAKL to LUW: 7987\nAKL to INU: 5060\nPAT to YGW: 13803\nPAT to MGF: 15771\nPAT to YIN: 3717\nPAT to SZA: 9050\nPAT to GTO: 5952\nPAT to LUW: 5816\nPAT to INU: 10684\nSZA to YGW: 12248\nSZA to MGF: 7414\nSZA to YIN: 10348\nSZA to GTO: 13499\nSZA to LUW: 13363\nSZA to INU: 17908\nGTO to YGW: 16952\nGTO to MGF: 19238\nGTO to YIN: 7769\nGTO to LUW: 1303\nGTO to INU: 9179\nYGW to MGF: 9809\nYGW to YIN: 12944\nYGW to LUW: 16793\nYGW to INU: 12425\nYIN to MGF: 16329\nYIN to LUW: 7610\nYIN to INU: 11162\nMGF to LUW: 19102\nMGF to INU: 17437\nLUW to INU: 9020\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: AFA, WAG, NOB, RJA, SSJ, KLU, CAH, PBO, YQR\n- Travel distances (in kilometers) between each pair of airports:\nAFA to KLU: 12974\nAFA to NOB: 6811\nAFA to RJA: 17344\nAFA to YQR: 11603\nAFA to WAG: 12042\nAFA to PBO: 17667\nAFA to CAH: 19852\nAFA to SSJ: 13839\nWAG to KLU: 18444\nWAG to NOB: 15170\nWAG to RJA: 12408\nWAG to YQR: 12998\nWAG to PBO: 6655\nWAG to CAH: 9576\nWAG to SSJ: 18239\nNOB to KLU: 10234\nNOB to RJA: 17071\nNOB to YQR: 5221\nNOB to PBO: 20670\nNOB to CAH: 17812\nNOB to SSJ: 9783\nRJA to KLU: 7170\nRJA to YQR: 14878\nRJA to PBO: 8505\nRJA to CAH: 3739\nRJA to SSJ: 7951\nSSJ to KLU: 2165\nSSJ to YQR: 7529\nSSJ to PBO: 15290\nSSJ to CAH: 9914\nKLU to YQR: 8581\nKLU to PBO: 14487\nKLU to CAH: 9644\nCAH to YQR: 13231\nCAH to PBO: 6146\nPBO to YQR: 17786\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 57478,
"style": "rule"
}
|
{
"exact_answer": 57478,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"AFA\", \"id\": 0}, {\"name\": \"WAG\", \"id\": 1}, {\"name\": \"NOB\", \"id\": 2}, {\"name\": \"RJA\", \"id\": 3}, {\"name\": \"SSJ\", \"id\": 4}, {\"name\": \"KLU\", \"id\": 5}, {\"name\": \"CAH\", \"id\": 6}, {\"name\": \"PBO\", \"id\": 7}, {\"name\": \"YQR\", \"id\": 8}], \"links\": [{\"weight\": 12974, \"source\": 0, \"target\": 5}, {\"weight\": 6811, \"source\": 0, \"target\": 2}, {\"weight\": 17344, \"source\": 0, \"target\": 3}, {\"weight\": 11603, \"source\": 0, \"target\": 8}, {\"weight\": 12042, \"source\": 0, \"target\": 1}, {\"weight\": 17667, \"source\": 0, \"target\": 7}, {\"weight\": 19852, \"source\": 0, \"target\": 6}, {\"weight\": 13839, \"source\": 0, \"target\": 4}, {\"weight\": 18444, \"source\": 1, \"target\": 5}, {\"weight\": 15170, \"source\": 1, \"target\": 2}, {\"weight\": 12408, \"source\": 1, \"target\": 3}, {\"weight\": 12998, \"source\": 1, \"target\": 8}, {\"weight\": 6655, \"source\": 1, \"target\": 7}, {\"weight\": 9576, \"source\": 1, \"target\": 6}, {\"weight\": 18239, \"source\": 1, \"target\": 4}, {\"weight\": 10234, \"source\": 2, \"target\": 5}, {\"weight\": 17071, \"source\": 2, \"target\": 3}, {\"weight\": 5221, \"source\": 2, \"target\": 8}, {\"weight\": 20670, \"source\": 2, \"target\": 7}, {\"weight\": 17812, \"source\": 2, \"target\": 6}, {\"weight\": 9783, \"source\": 2, \"target\": 4}, {\"weight\": 7170, \"source\": 3, \"target\": 5}, {\"weight\": 14878, \"source\": 3, \"target\": 8}, {\"weight\": 8505, \"source\": 3, \"target\": 7}, {\"weight\": 3739, \"source\": 3, \"target\": 6}, {\"weight\": 7951, \"source\": 3, \"target\": 4}, {\"weight\": 2165, \"source\": 4, \"target\": 5}, {\"weight\": 7529, \"source\": 4, \"target\": 8}, {\"weight\": 15290, \"source\": 4, \"target\": 7}, {\"weight\": 9914, \"source\": 4, \"target\": 6}, {\"weight\": 8581, \"source\": 5, \"target\": 8}, {\"weight\": 14487, \"source\": 5, \"target\": 7}, {\"weight\": 9644, \"source\": 5, \"target\": 6}, {\"weight\": 13231, \"source\": 6, \"target\": 8}, {\"weight\": 6146, \"source\": 6, \"target\": 7}, {\"weight\": 17786, \"source\": 7, \"target\": 8}]}",
"id": 824,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: AFA, WAG, NOB, RJA, SSJ, KLU, CAH, PBO, YQR\n- Travel distances (in kilometers) between each pair of airports:\nAFA to KLU: 12974\nAFA to NOB: 6811\nAFA to RJA: 17344\nAFA to YQR: 11603\nAFA to WAG: 12042\nAFA to PBO: 17667\nAFA to CAH: 19852\nAFA to SSJ: 13839\nWAG to KLU: 18444\nWAG to NOB: 15170\nWAG to RJA: 12408\nWAG to YQR: 12998\nWAG to PBO: 6655\nWAG to CAH: 9576\nWAG to SSJ: 18239\nNOB to KLU: 10234\nNOB to RJA: 17071\nNOB to YQR: 5221\nNOB to PBO: 20670\nNOB to CAH: 17812\nNOB to SSJ: 9783\nRJA to KLU: 7170\nRJA to YQR: 14878\nRJA to PBO: 8505\nRJA to CAH: 3739\nRJA to SSJ: 7951\nSSJ to KLU: 2165\nSSJ to YQR: 7529\nSSJ to PBO: 15290\nSSJ to CAH: 9914\nKLU to YQR: 8581\nKLU to PBO: 14487\nKLU to CAH: 9644\nCAH to YQR: 13231\nCAH to PBO: 6146\nPBO to YQR: 17786\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TUO, SCY, ACZ, HOM, KMQ, LCE, YEG, LDU, STW\n- Travel distances (in kilometers) between each pair of airports:\nTUO to SCY: 14564\nTUO to YEG: 12392\nTUO to HOM: 11973\nTUO to KMQ: 9422\nTUO to ACZ: 15169\nTUO to LCE: 14517\nTUO to LDU: 8910\nTUO to STW: 17658\nSCY to YEG: 8029\nSCY to HOM: 10485\nSCY to KMQ: 15938\nSCY to ACZ: 16125\nSCY to LCE: 3470\nSCY to LDU: 19937\nSCY to STW: 13997\nACZ to YEG: 12365\nACZ to HOM: 15768\nACZ to KMQ: 7335\nACZ to LCE: 14220\nACZ to LDU: 7659\nACZ to STW: 4902\nHOM to YEG: 3410\nHOM to KMQ: 10532\nHOM to LCE: 7276\nHOM to LDU: 14548\nHOM to STW: 12888\nKMQ to YEG: 8554\nKMQ to LCE: 12870\nKMQ to LDU: 4314\nKMQ to STW: 8730\nLCE to YEG: 4819\nLCE to LDU: 16913\nLCE to STW: 11760\nYEG to LDU: 12603\nYEG to STW: 9485\nLDU to STW: 10395\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 63130,
"style": "rule"
}
|
{
"exact_answer": 63130,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"TUO\", \"id\": 0}, {\"name\": \"SCY\", \"id\": 1}, {\"name\": \"ACZ\", \"id\": 2}, {\"name\": \"HOM\", \"id\": 3}, {\"name\": \"KMQ\", \"id\": 4}, {\"name\": \"LCE\", \"id\": 5}, {\"name\": \"YEG\", \"id\": 6}, {\"name\": \"LDU\", \"id\": 7}, {\"name\": \"STW\", \"id\": 8}], \"links\": [{\"weight\": 14564, \"source\": 0, \"target\": 1}, {\"weight\": 12392, \"source\": 0, \"target\": 6}, {\"weight\": 11973, \"source\": 0, \"target\": 3}, {\"weight\": 9422, \"source\": 0, \"target\": 4}, {\"weight\": 15169, \"source\": 0, \"target\": 2}, {\"weight\": 14517, \"source\": 0, \"target\": 5}, {\"weight\": 8910, \"source\": 0, \"target\": 7}, {\"weight\": 17658, \"source\": 0, \"target\": 8}, {\"weight\": 8029, \"source\": 1, \"target\": 6}, {\"weight\": 10485, \"source\": 1, \"target\": 3}, {\"weight\": 15938, \"source\": 1, \"target\": 4}, {\"weight\": 16125, \"source\": 1, \"target\": 2}, {\"weight\": 3470, \"source\": 1, \"target\": 5}, {\"weight\": 19937, \"source\": 1, \"target\": 7}, {\"weight\": 13997, \"source\": 1, \"target\": 8}, {\"weight\": 12365, \"source\": 2, \"target\": 6}, {\"weight\": 15768, \"source\": 2, \"target\": 3}, {\"weight\": 7335, \"source\": 2, \"target\": 4}, {\"weight\": 14220, \"source\": 2, \"target\": 5}, {\"weight\": 7659, \"source\": 2, \"target\": 7}, {\"weight\": 4902, \"source\": 2, \"target\": 8}, {\"weight\": 3410, \"source\": 3, \"target\": 6}, {\"weight\": 10532, \"source\": 3, \"target\": 4}, {\"weight\": 7276, \"source\": 3, \"target\": 5}, {\"weight\": 14548, \"source\": 3, \"target\": 7}, {\"weight\": 12888, \"source\": 3, \"target\": 8}, {\"weight\": 8554, \"source\": 4, \"target\": 6}, {\"weight\": 12870, \"source\": 4, \"target\": 5}, {\"weight\": 4314, \"source\": 4, \"target\": 7}, {\"weight\": 8730, \"source\": 4, \"target\": 8}, {\"weight\": 4819, \"source\": 5, \"target\": 6}, {\"weight\": 16913, \"source\": 5, \"target\": 7}, {\"weight\": 11760, \"source\": 5, \"target\": 8}, {\"weight\": 12603, \"source\": 6, \"target\": 7}, {\"weight\": 9485, \"source\": 6, \"target\": 8}, {\"weight\": 10395, \"source\": 7, \"target\": 8}]}",
"id": 825,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TUO, SCY, ACZ, HOM, KMQ, LCE, YEG, LDU, STW\n- Travel distances (in kilometers) between each pair of airports:\nTUO to SCY: 14564\nTUO to YEG: 12392\nTUO to HOM: 11973\nTUO to KMQ: 9422\nTUO to ACZ: 15169\nTUO to LCE: 14517\nTUO to LDU: 8910\nTUO to STW: 17658\nSCY to YEG: 8029\nSCY to HOM: 10485\nSCY to KMQ: 15938\nSCY to ACZ: 16125\nSCY to LCE: 3470\nSCY to LDU: 19937\nSCY to STW: 13997\nACZ to YEG: 12365\nACZ to HOM: 15768\nACZ to KMQ: 7335\nACZ to LCE: 14220\nACZ to LDU: 7659\nACZ to STW: 4902\nHOM to YEG: 3410\nHOM to KMQ: 10532\nHOM to LCE: 7276\nHOM to LDU: 14548\nHOM to STW: 12888\nKMQ to YEG: 8554\nKMQ to LCE: 12870\nKMQ to LDU: 4314\nKMQ to STW: 8730\nLCE to YEG: 4819\nLCE to LDU: 16913\nLCE to STW: 11760\nYEG to LDU: 12603\nYEG to STW: 9485\nLDU to STW: 10395\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PHW, LAN, PHB, SRX, WSN, YPM, PNL, NYA, KMJ\n- Travel distances (in kilometers) between each pair of airports:\nPHW to LAN: 14146\nPHW to PHB: 10169\nPHW to PNL: 8823\nPHW to WSN: 19386\nPHW to KMJ: 13310\nPHW to SRX: 8767\nPHW to NYA: 10816\nPHW to YPM: 15217\nLAN to PHB: 7222\nLAN to PNL: 8002\nLAN to WSN: 5254\nLAN to KMJ: 11215\nLAN to SRX: 8608\nLAN to NYA: 9819\nLAN to YPM: 1724\nPHB to PNL: 7766\nPHB to WSN: 12379\nPHB to KMJ: 17027\nPHB to SRX: 7929\nPHB to NYA: 11884\nPHB to YPM: 8435\nSRX to PNL: 1162\nSRX to WSN: 13209\nSRX to KMJ: 10623\nSRX to NYA: 5559\nSRX to YPM: 9564\nWSN to PNL: 12457\nWSN to KMJ: 11392\nWSN to NYA: 13805\nWSN to YPM: 5082\nYPM to PNL: 8958\nYPM to KMJ: 10428\nYPM to NYA: 10775\nPNL to KMJ: 10093\nPNL to NYA: 4885\nNYA to KMJ: 6198\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 56601,
"style": "rule"
}
|
{
"exact_answer": 56601,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"PHW\", \"id\": 0}, {\"name\": \"LAN\", \"id\": 1}, {\"name\": \"PHB\", \"id\": 2}, {\"name\": \"SRX\", \"id\": 3}, {\"name\": \"WSN\", \"id\": 4}, {\"name\": \"YPM\", \"id\": 5}, {\"name\": \"PNL\", \"id\": 6}, {\"name\": \"NYA\", \"id\": 7}, {\"name\": \"KMJ\", \"id\": 8}], \"links\": [{\"weight\": 14146, \"source\": 0, \"target\": 1}, {\"weight\": 10169, \"source\": 0, \"target\": 2}, {\"weight\": 8823, \"source\": 0, \"target\": 6}, {\"weight\": 19386, \"source\": 0, \"target\": 4}, {\"weight\": 13310, \"source\": 0, \"target\": 8}, {\"weight\": 8767, \"source\": 0, \"target\": 3}, {\"weight\": 10816, \"source\": 0, \"target\": 7}, {\"weight\": 15217, \"source\": 0, \"target\": 5}, {\"weight\": 7222, \"source\": 1, \"target\": 2}, {\"weight\": 8002, \"source\": 1, \"target\": 6}, {\"weight\": 5254, \"source\": 1, \"target\": 4}, {\"weight\": 11215, \"source\": 1, \"target\": 8}, {\"weight\": 8608, \"source\": 1, \"target\": 3}, {\"weight\": 9819, \"source\": 1, \"target\": 7}, {\"weight\": 1724, \"source\": 1, \"target\": 5}, {\"weight\": 7766, \"source\": 2, \"target\": 6}, {\"weight\": 12379, \"source\": 2, \"target\": 4}, {\"weight\": 17027, \"source\": 2, \"target\": 8}, {\"weight\": 7929, \"source\": 2, \"target\": 3}, {\"weight\": 11884, \"source\": 2, \"target\": 7}, {\"weight\": 8435, \"source\": 2, \"target\": 5}, {\"weight\": 1162, \"source\": 3, \"target\": 6}, {\"weight\": 13209, \"source\": 3, \"target\": 4}, {\"weight\": 10623, \"source\": 3, \"target\": 8}, {\"weight\": 5559, \"source\": 3, \"target\": 7}, {\"weight\": 9564, \"source\": 3, \"target\": 5}, {\"weight\": 12457, \"source\": 4, \"target\": 6}, {\"weight\": 11392, \"source\": 4, \"target\": 8}, {\"weight\": 13805, \"source\": 4, \"target\": 7}, {\"weight\": 5082, \"source\": 4, \"target\": 5}, {\"weight\": 8958, \"source\": 5, \"target\": 6}, {\"weight\": 10428, \"source\": 5, \"target\": 8}, {\"weight\": 10775, \"source\": 5, \"target\": 7}, {\"weight\": 10093, \"source\": 6, \"target\": 8}, {\"weight\": 4885, \"source\": 6, \"target\": 7}, {\"weight\": 6198, \"source\": 7, \"target\": 8}]}",
"id": 826,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PHW, LAN, PHB, SRX, WSN, YPM, PNL, NYA, KMJ\n- Travel distances (in kilometers) between each pair of airports:\nPHW to LAN: 14146\nPHW to PHB: 10169\nPHW to PNL: 8823\nPHW to WSN: 19386\nPHW to KMJ: 13310\nPHW to SRX: 8767\nPHW to NYA: 10816\nPHW to YPM: 15217\nLAN to PHB: 7222\nLAN to PNL: 8002\nLAN to WSN: 5254\nLAN to KMJ: 11215\nLAN to SRX: 8608\nLAN to NYA: 9819\nLAN to YPM: 1724\nPHB to PNL: 7766\nPHB to WSN: 12379\nPHB to KMJ: 17027\nPHB to SRX: 7929\nPHB to NYA: 11884\nPHB to YPM: 8435\nSRX to PNL: 1162\nSRX to WSN: 13209\nSRX to KMJ: 10623\nSRX to NYA: 5559\nSRX to YPM: 9564\nWSN to PNL: 12457\nWSN to KMJ: 11392\nWSN to NYA: 13805\nWSN to YPM: 5082\nYPM to PNL: 8958\nYPM to KMJ: 10428\nYPM to NYA: 10775\nPNL to KMJ: 10093\nPNL to NYA: 4885\nNYA to KMJ: 6198\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: DEC, SFG, WTK, MKW, GAJ, YGT, DLC, BDJ, LAW\n- Travel distances (in kilometers) between each pair of airports:\nDEC to SFG: 3757\nDEC to DLC: 11231\nDEC to YGT: 4251\nDEC to WTK: 5774\nDEC to LAW: 1286\nDEC to BDJ: 15702\nDEC to MKW: 17375\nDEC to GAJ: 10953\nSFG to DLC: 14194\nSFG to YGT: 6207\nSFG to WTK: 9135\nSFG to LAW: 4054\nSFG to BDJ: 18786\nSFG to MKW: 20459\nSFG to GAJ: 14323\nWTK to DLC: 12114\nWTK to YGT: 8358\nWTK to LAW: 6075\nWTK to BDJ: 16317\nWTK to MKW: 17990\nWTK to GAJ: 11313\nMKW to DLC: 6658\nMKW to YGT: 19457\nMKW to LAW: 17635\nMKW to BDJ: 2254\nMKW to GAJ: 7358\nGAJ to DLC: 1981\nGAJ to YGT: 12870\nGAJ to LAW: 10924\nGAJ to BDJ: 5685\nYGT to DLC: 13650\nYGT to LAW: 5465\nYGT to BDJ: 17784\nDLC to LAW: 11672\nDLC to BDJ: 4985\nBDJ to LAW: 15962\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 56881,
"style": "rule"
}
|
{
"exact_answer": 56881,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"DEC\", \"id\": 0}, {\"name\": \"SFG\", \"id\": 1}, {\"name\": \"WTK\", \"id\": 2}, {\"name\": \"MKW\", \"id\": 3}, {\"name\": \"GAJ\", \"id\": 4}, {\"name\": \"YGT\", \"id\": 5}, {\"name\": \"DLC\", \"id\": 6}, {\"name\": \"BDJ\", \"id\": 7}, {\"name\": \"LAW\", \"id\": 8}], \"links\": [{\"weight\": 3757, \"source\": 0, \"target\": 1}, {\"weight\": 11231, \"source\": 0, \"target\": 6}, {\"weight\": 4251, \"source\": 0, \"target\": 5}, {\"weight\": 5774, \"source\": 0, \"target\": 2}, {\"weight\": 1286, \"source\": 0, \"target\": 8}, {\"weight\": 15702, \"source\": 0, \"target\": 7}, {\"weight\": 17375, \"source\": 0, \"target\": 3}, {\"weight\": 10953, \"source\": 0, \"target\": 4}, {\"weight\": 14194, \"source\": 1, \"target\": 6}, {\"weight\": 6207, \"source\": 1, \"target\": 5}, {\"weight\": 9135, \"source\": 1, \"target\": 2}, {\"weight\": 4054, \"source\": 1, \"target\": 8}, {\"weight\": 18786, \"source\": 1, \"target\": 7}, {\"weight\": 20459, \"source\": 1, \"target\": 3}, {\"weight\": 14323, \"source\": 1, \"target\": 4}, {\"weight\": 12114, \"source\": 2, \"target\": 6}, {\"weight\": 8358, \"source\": 2, \"target\": 5}, {\"weight\": 6075, \"source\": 2, \"target\": 8}, {\"weight\": 16317, \"source\": 2, \"target\": 7}, {\"weight\": 17990, \"source\": 2, \"target\": 3}, {\"weight\": 11313, \"source\": 2, \"target\": 4}, {\"weight\": 6658, \"source\": 3, \"target\": 6}, {\"weight\": 19457, \"source\": 3, \"target\": 5}, {\"weight\": 17635, \"source\": 3, \"target\": 8}, {\"weight\": 2254, \"source\": 3, \"target\": 7}, {\"weight\": 7358, \"source\": 3, \"target\": 4}, {\"weight\": 1981, \"source\": 4, \"target\": 6}, {\"weight\": 12870, \"source\": 4, \"target\": 5}, {\"weight\": 10924, \"source\": 4, \"target\": 8}, {\"weight\": 5685, \"source\": 4, \"target\": 7}, {\"weight\": 13650, \"source\": 5, \"target\": 6}, {\"weight\": 5465, \"source\": 5, \"target\": 8}, {\"weight\": 17784, \"source\": 5, \"target\": 7}, {\"weight\": 11672, \"source\": 6, \"target\": 8}, {\"weight\": 4985, \"source\": 6, \"target\": 7}, {\"weight\": 15962, \"source\": 7, \"target\": 8}]}",
"id": 827,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: DEC, SFG, WTK, MKW, GAJ, YGT, DLC, BDJ, LAW\n- Travel distances (in kilometers) between each pair of airports:\nDEC to SFG: 3757\nDEC to DLC: 11231\nDEC to YGT: 4251\nDEC to WTK: 5774\nDEC to LAW: 1286\nDEC to BDJ: 15702\nDEC to MKW: 17375\nDEC to GAJ: 10953\nSFG to DLC: 14194\nSFG to YGT: 6207\nSFG to WTK: 9135\nSFG to LAW: 4054\nSFG to BDJ: 18786\nSFG to MKW: 20459\nSFG to GAJ: 14323\nWTK to DLC: 12114\nWTK to YGT: 8358\nWTK to LAW: 6075\nWTK to BDJ: 16317\nWTK to MKW: 17990\nWTK to GAJ: 11313\nMKW to DLC: 6658\nMKW to YGT: 19457\nMKW to LAW: 17635\nMKW to BDJ: 2254\nMKW to GAJ: 7358\nGAJ to DLC: 1981\nGAJ to YGT: 12870\nGAJ to LAW: 10924\nGAJ to BDJ: 5685\nYGT to DLC: 13650\nYGT to LAW: 5465\nYGT to BDJ: 17784\nDLC to LAW: 11672\nDLC to BDJ: 4985\nBDJ to LAW: 15962\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BZG, PAC, DOM, BRA, LYP, YNS, CHA, KWI, ZLT\n- Travel distances (in kilometers) between each pair of airports:\nBZG to BRA: 10061\nBZG to DOM: 8546\nBZG to PAC: 10742\nBZG to CHA: 7887\nBZG to KWI: 5852\nBZG to LYP: 8427\nBZG to ZLT: 6314\nBZG to YNS: 7537\nPAC to BRA: 6025\nPAC to DOM: 3328\nPAC to CHA: 3324\nPAC to KWI: 13822\nPAC to LYP: 16571\nPAC to ZLT: 5859\nPAC to YNS: 5314\nDOM to BRA: 4624\nDOM to CHA: 3244\nDOM to KWI: 11244\nDOM to LYP: 13886\nDOM to ZLT: 4824\nDOM to YNS: 4246\nBRA to CHA: 7424\nBRA to KWI: 12252\nBRA to LYP: 14772\nBRA to ZLT: 9324\nBRA to YNS: 8746\nLYP to CHA: 13745\nLYP to KWI: 2951\nLYP to ZLT: 11683\nLYP to YNS: 13145\nYNS to CHA: 2335\nYNS to KWI: 10580\nYNS to ZLT: 2022\nCHA to KWI: 11382\nCHA to ZLT: 2924\nKWI to ZLT: 9101\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 45522,
"style": "rule"
}
|
{
"exact_answer": 45522,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"BZG\", \"id\": 0}, {\"name\": \"PAC\", \"id\": 1}, {\"name\": \"DOM\", \"id\": 2}, {\"name\": \"BRA\", \"id\": 3}, {\"name\": \"LYP\", \"id\": 4}, {\"name\": \"YNS\", \"id\": 5}, {\"name\": \"CHA\", \"id\": 6}, {\"name\": \"KWI\", \"id\": 7}, {\"name\": \"ZLT\", \"id\": 8}], \"links\": [{\"weight\": 10061, \"source\": 0, \"target\": 3}, {\"weight\": 8546, \"source\": 0, \"target\": 2}, {\"weight\": 10742, \"source\": 0, \"target\": 1}, {\"weight\": 7887, \"source\": 0, \"target\": 6}, {\"weight\": 5852, \"source\": 0, \"target\": 7}, {\"weight\": 8427, \"source\": 0, \"target\": 4}, {\"weight\": 6314, \"source\": 0, \"target\": 8}, {\"weight\": 7537, \"source\": 0, \"target\": 5}, {\"weight\": 6025, \"source\": 1, \"target\": 3}, {\"weight\": 3328, \"source\": 1, \"target\": 2}, {\"weight\": 3324, \"source\": 1, \"target\": 6}, {\"weight\": 13822, \"source\": 1, \"target\": 7}, {\"weight\": 16571, \"source\": 1, \"target\": 4}, {\"weight\": 5859, \"source\": 1, \"target\": 8}, {\"weight\": 5314, \"source\": 1, \"target\": 5}, {\"weight\": 4624, \"source\": 2, \"target\": 3}, {\"weight\": 3244, \"source\": 2, \"target\": 6}, {\"weight\": 11244, \"source\": 2, \"target\": 7}, {\"weight\": 13886, \"source\": 2, \"target\": 4}, {\"weight\": 4824, \"source\": 2, \"target\": 8}, {\"weight\": 4246, \"source\": 2, \"target\": 5}, {\"weight\": 7424, \"source\": 3, \"target\": 6}, {\"weight\": 12252, \"source\": 3, \"target\": 7}, {\"weight\": 14772, \"source\": 3, \"target\": 4}, {\"weight\": 9324, \"source\": 3, \"target\": 8}, {\"weight\": 8746, \"source\": 3, \"target\": 5}, {\"weight\": 13745, \"source\": 4, \"target\": 6}, {\"weight\": 2951, \"source\": 4, \"target\": 7}, {\"weight\": 11683, \"source\": 4, \"target\": 8}, {\"weight\": 13145, \"source\": 4, \"target\": 5}, {\"weight\": 2335, \"source\": 5, \"target\": 6}, {\"weight\": 10580, \"source\": 5, \"target\": 7}, {\"weight\": 2022, \"source\": 5, \"target\": 8}, {\"weight\": 11382, \"source\": 6, \"target\": 7}, {\"weight\": 2924, \"source\": 6, \"target\": 8}, {\"weight\": 9101, \"source\": 7, \"target\": 8}]}",
"id": 828,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BZG, PAC, DOM, BRA, LYP, YNS, CHA, KWI, ZLT\n- Travel distances (in kilometers) between each pair of airports:\nBZG to BRA: 10061\nBZG to DOM: 8546\nBZG to PAC: 10742\nBZG to CHA: 7887\nBZG to KWI: 5852\nBZG to LYP: 8427\nBZG to ZLT: 6314\nBZG to YNS: 7537\nPAC to BRA: 6025\nPAC to DOM: 3328\nPAC to CHA: 3324\nPAC to KWI: 13822\nPAC to LYP: 16571\nPAC to ZLT: 5859\nPAC to YNS: 5314\nDOM to BRA: 4624\nDOM to CHA: 3244\nDOM to KWI: 11244\nDOM to LYP: 13886\nDOM to ZLT: 4824\nDOM to YNS: 4246\nBRA to CHA: 7424\nBRA to KWI: 12252\nBRA to LYP: 14772\nBRA to ZLT: 9324\nBRA to YNS: 8746\nLYP to CHA: 13745\nLYP to KWI: 2951\nLYP to ZLT: 11683\nLYP to YNS: 13145\nYNS to CHA: 2335\nYNS to KWI: 10580\nYNS to ZLT: 2022\nCHA to KWI: 11382\nCHA to ZLT: 2924\nKWI to ZLT: 9101\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LKL, LDE, CMU, CLE, MMK, KAN, DHI, ASV, LWS\n- Travel distances (in kilometers) between each pair of airports:\nLKL to MMK: 787\nLKL to LDE: 3319\nLKL to CLE: 7121\nLKL to LWS: 8871\nLKL to ASV: 8954\nLKL to KAN: 7304\nLKL to CMU: 14828\nLKL to DHI: 7889\nLDE to MMK: 3697\nLDE to CLE: 6798\nLDE to LWS: 9082\nLDE to ASV: 7549\nLDE to KAN: 4819\nLDE to CMU: 15636\nLDE to DHI: 8219\nCMU to MMK: 14041\nCMU to CLE: 15955\nCMU to LWS: 13604\nCMU to ASV: 13864\nCMU to KAN: 16170\nCMU to DHI: 8925\nCLE to MMK: 7440\nCLE to LWS: 3130\nCLE to ASV: 13426\nCLE to KAN: 9959\nCLE to DHI: 13271\nMMK to LWS: 9190\nMMK to ASV: 8379\nMMK to KAN: 6855\nMMK to DHI: 7102\nKAN to LWS: 12880\nKAN to ASV: 4790\nKAN to DHI: 8593\nDHI to LWS: 12774\nDHI to ASV: 7154\nASV to LWS: 15549\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 53968,
"style": "rule"
}
|
{
"exact_answer": 53968,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"LKL\", \"id\": 0}, {\"name\": \"LDE\", \"id\": 1}, {\"name\": \"CMU\", \"id\": 2}, {\"name\": \"CLE\", \"id\": 3}, {\"name\": \"MMK\", \"id\": 4}, {\"name\": \"KAN\", \"id\": 5}, {\"name\": \"DHI\", \"id\": 6}, {\"name\": \"ASV\", \"id\": 7}, {\"name\": \"LWS\", \"id\": 8}], \"links\": [{\"weight\": 787, \"source\": 0, \"target\": 4}, {\"weight\": 3319, \"source\": 0, \"target\": 1}, {\"weight\": 7121, \"source\": 0, \"target\": 3}, {\"weight\": 8871, \"source\": 0, \"target\": 8}, {\"weight\": 8954, \"source\": 0, \"target\": 7}, {\"weight\": 7304, \"source\": 0, \"target\": 5}, {\"weight\": 14828, \"source\": 0, \"target\": 2}, {\"weight\": 7889, \"source\": 0, \"target\": 6}, {\"weight\": 3697, \"source\": 1, \"target\": 4}, {\"weight\": 6798, \"source\": 1, \"target\": 3}, {\"weight\": 9082, \"source\": 1, \"target\": 8}, {\"weight\": 7549, \"source\": 1, \"target\": 7}, {\"weight\": 4819, \"source\": 1, \"target\": 5}, {\"weight\": 15636, \"source\": 1, \"target\": 2}, {\"weight\": 8219, \"source\": 1, \"target\": 6}, {\"weight\": 14041, \"source\": 2, \"target\": 4}, {\"weight\": 15955, \"source\": 2, \"target\": 3}, {\"weight\": 13604, \"source\": 2, \"target\": 8}, {\"weight\": 13864, \"source\": 2, \"target\": 7}, {\"weight\": 16170, \"source\": 2, \"target\": 5}, {\"weight\": 8925, \"source\": 2, \"target\": 6}, {\"weight\": 7440, \"source\": 3, \"target\": 4}, {\"weight\": 3130, \"source\": 3, \"target\": 8}, {\"weight\": 13426, \"source\": 3, \"target\": 7}, {\"weight\": 9959, \"source\": 3, \"target\": 5}, {\"weight\": 13271, \"source\": 3, \"target\": 6}, {\"weight\": 9190, \"source\": 4, \"target\": 8}, {\"weight\": 8379, \"source\": 4, \"target\": 7}, {\"weight\": 6855, \"source\": 4, \"target\": 5}, {\"weight\": 7102, \"source\": 4, \"target\": 6}, {\"weight\": 12880, \"source\": 5, \"target\": 8}, {\"weight\": 4790, \"source\": 5, \"target\": 7}, {\"weight\": 8593, \"source\": 5, \"target\": 6}, {\"weight\": 12774, \"source\": 6, \"target\": 8}, {\"weight\": 7154, \"source\": 6, \"target\": 7}, {\"weight\": 15549, \"source\": 7, \"target\": 8}]}",
"id": 829,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LKL, LDE, CMU, CLE, MMK, KAN, DHI, ASV, LWS\n- Travel distances (in kilometers) between each pair of airports:\nLKL to MMK: 787\nLKL to LDE: 3319\nLKL to CLE: 7121\nLKL to LWS: 8871\nLKL to ASV: 8954\nLKL to KAN: 7304\nLKL to CMU: 14828\nLKL to DHI: 7889\nLDE to MMK: 3697\nLDE to CLE: 6798\nLDE to LWS: 9082\nLDE to ASV: 7549\nLDE to KAN: 4819\nLDE to CMU: 15636\nLDE to DHI: 8219\nCMU to MMK: 14041\nCMU to CLE: 15955\nCMU to LWS: 13604\nCMU to ASV: 13864\nCMU to KAN: 16170\nCMU to DHI: 8925\nCLE to MMK: 7440\nCLE to LWS: 3130\nCLE to ASV: 13426\nCLE to KAN: 9959\nCLE to DHI: 13271\nMMK to LWS: 9190\nMMK to ASV: 8379\nMMK to KAN: 6855\nMMK to DHI: 7102\nKAN to LWS: 12880\nKAN to ASV: 4790\nKAN to DHI: 8593\nDHI to LWS: 12774\nDHI to ASV: 7154\nASV to LWS: 15549\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BDH, NAQ, ORK, LLW, AOS, RKV, TFS, ULG, BQK\n- Travel distances (in kilometers) between each pair of airports:\nBDH to TFS: 7170\nBDH to AOS: 14894\nBDH to BQK: 12544\nBDH to LLW: 5098\nBDH to ULG: 6586\nBDH to ORK: 5954\nBDH to NAQ: 9655\nBDH to RKV: 9690\nNAQ to TFS: 7625\nNAQ to AOS: 11664\nNAQ to BQK: 8772\nNAQ to LLW: 12920\nNAQ to ULG: 12171\nNAQ to ORK: 4905\nNAQ to RKV: 2681\nORK to TFS: 2730\nORK to AOS: 10495\nORK to BQK: 7283\nORK to LLW: 8763\nORK to ULG: 8866\nORK to RKV: 4696\nLLW to TFS: 8072\nLLW to AOS: 18757\nLLW to BQK: 14202\nLLW to ULG: 11382\nLLW to RKV: 12955\nAOS to TFS: 11780\nAOS to BQK: 6375\nAOS to ULG: 13907\nAOS to RKV: 11455\nRKV to TFS: 7416\nRKV to BQK: 8563\nRKV to ULG: 12026\nTFS to BQK: 7394\nTFS to ULG: 11123\nULG to BQK: 14333\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 58917,
"style": "rule"
}
|
{
"exact_answer": 58917,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"BDH\", \"id\": 0}, {\"name\": \"NAQ\", \"id\": 1}, {\"name\": \"ORK\", \"id\": 2}, {\"name\": \"LLW\", \"id\": 3}, {\"name\": \"AOS\", \"id\": 4}, {\"name\": \"RKV\", \"id\": 5}, {\"name\": \"TFS\", \"id\": 6}, {\"name\": \"ULG\", \"id\": 7}, {\"name\": \"BQK\", \"id\": 8}], \"links\": [{\"weight\": 7170, \"source\": 0, \"target\": 6}, {\"weight\": 14894, \"source\": 0, \"target\": 4}, {\"weight\": 12544, \"source\": 0, \"target\": 8}, {\"weight\": 5098, \"source\": 0, \"target\": 3}, {\"weight\": 6586, \"source\": 0, \"target\": 7}, {\"weight\": 5954, \"source\": 0, \"target\": 2}, {\"weight\": 9655, \"source\": 0, \"target\": 1}, {\"weight\": 9690, \"source\": 0, \"target\": 5}, {\"weight\": 7625, \"source\": 1, \"target\": 6}, {\"weight\": 11664, \"source\": 1, \"target\": 4}, {\"weight\": 8772, \"source\": 1, \"target\": 8}, {\"weight\": 12920, \"source\": 1, \"target\": 3}, {\"weight\": 12171, \"source\": 1, \"target\": 7}, {\"weight\": 4905, \"source\": 1, \"target\": 2}, {\"weight\": 2681, \"source\": 1, \"target\": 5}, {\"weight\": 2730, \"source\": 2, \"target\": 6}, {\"weight\": 10495, \"source\": 2, \"target\": 4}, {\"weight\": 7283, \"source\": 2, \"target\": 8}, {\"weight\": 8763, \"source\": 2, \"target\": 3}, {\"weight\": 8866, \"source\": 2, \"target\": 7}, {\"weight\": 4696, \"source\": 2, \"target\": 5}, {\"weight\": 8072, \"source\": 3, \"target\": 6}, {\"weight\": 18757, \"source\": 3, \"target\": 4}, {\"weight\": 14202, \"source\": 3, \"target\": 8}, {\"weight\": 11382, \"source\": 3, \"target\": 7}, {\"weight\": 12955, \"source\": 3, \"target\": 5}, {\"weight\": 11780, \"source\": 4, \"target\": 6}, {\"weight\": 6375, \"source\": 4, \"target\": 8}, {\"weight\": 13907, \"source\": 4, \"target\": 7}, {\"weight\": 11455, \"source\": 4, \"target\": 5}, {\"weight\": 7416, \"source\": 5, \"target\": 6}, {\"weight\": 8563, \"source\": 5, \"target\": 8}, {\"weight\": 12026, \"source\": 5, \"target\": 7}, {\"weight\": 7394, \"source\": 6, \"target\": 8}, {\"weight\": 11123, \"source\": 6, \"target\": 7}, {\"weight\": 14333, \"source\": 7, \"target\": 8}]}",
"id": 830,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BDH, NAQ, ORK, LLW, AOS, RKV, TFS, ULG, BQK\n- Travel distances (in kilometers) between each pair of airports:\nBDH to TFS: 7170\nBDH to AOS: 14894\nBDH to BQK: 12544\nBDH to LLW: 5098\nBDH to ULG: 6586\nBDH to ORK: 5954\nBDH to NAQ: 9655\nBDH to RKV: 9690\nNAQ to TFS: 7625\nNAQ to AOS: 11664\nNAQ to BQK: 8772\nNAQ to LLW: 12920\nNAQ to ULG: 12171\nNAQ to ORK: 4905\nNAQ to RKV: 2681\nORK to TFS: 2730\nORK to AOS: 10495\nORK to BQK: 7283\nORK to LLW: 8763\nORK to ULG: 8866\nORK to RKV: 4696\nLLW to TFS: 8072\nLLW to AOS: 18757\nLLW to BQK: 14202\nLLW to ULG: 11382\nLLW to RKV: 12955\nAOS to TFS: 11780\nAOS to BQK: 6375\nAOS to ULG: 13907\nAOS to RKV: 11455\nRKV to TFS: 7416\nRKV to BQK: 8563\nRKV to ULG: 12026\nTFS to BQK: 7394\nTFS to ULG: 11123\nULG to BQK: 14333\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BZG, FDF, TUO, BCN, SVQ, PVA, LBE, OSI, RVN\n- Travel distances (in kilometers) between each pair of airports:\nBZG to BCN: 2390\nBZG to FDF: 8657\nBZG to PVA: 10691\nBZG to SVQ: 2882\nBZG to RVN: 3691\nBZG to OSI: 2738\nBZG to LBE: 8328\nBZG to TUO: 19883\nFDF to BCN: 7676\nFDF to PVA: 2829\nFDF to SVQ: 7723\nFDF to RVN: 9412\nFDF to OSI: 8162\nFDF to LBE: 3924\nFDF to TUO: 15685\nTUO to BCN: 19454\nTUO to PVA: 15242\nTUO to SVQ: 20224\nTUO to RVN: 17582\nTUO to OSI: 18525\nTUO to LBE: 15076\nBCN to SVQ: 809\nBCN to PVA: 9198\nBCN to RVN: 3322\nBCN to OSI: 1443\nBCN to LBE: 7795\nSVQ to PVA: 8748\nSVQ to RVN: 4037\nSVQ to OSI: 2252\nSVQ to LBE: 7365\nPVA to RVN: 11363\nPVA to OSI: 10493\nPVA to LBE: 4031\nLBE to RVN: 8934\nLBE to OSI: 8726\nOSI to RVN: 2635\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 55514,
"style": "rule"
}
|
{
"exact_answer": 55514,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"BZG\", \"id\": 0}, {\"name\": \"FDF\", \"id\": 1}, {\"name\": \"TUO\", \"id\": 2}, {\"name\": \"BCN\", \"id\": 3}, {\"name\": \"SVQ\", \"id\": 4}, {\"name\": \"PVA\", \"id\": 5}, {\"name\": \"LBE\", \"id\": 6}, {\"name\": \"OSI\", \"id\": 7}, {\"name\": \"RVN\", \"id\": 8}], \"links\": [{\"weight\": 2390, \"source\": 0, \"target\": 3}, {\"weight\": 8657, \"source\": 0, \"target\": 1}, {\"weight\": 10691, \"source\": 0, \"target\": 5}, {\"weight\": 2882, \"source\": 0, \"target\": 4}, {\"weight\": 3691, \"source\": 0, \"target\": 8}, {\"weight\": 2738, \"source\": 0, \"target\": 7}, {\"weight\": 8328, \"source\": 0, \"target\": 6}, {\"weight\": 19883, \"source\": 0, \"target\": 2}, {\"weight\": 7676, \"source\": 1, \"target\": 3}, {\"weight\": 2829, \"source\": 1, \"target\": 5}, {\"weight\": 7723, \"source\": 1, \"target\": 4}, {\"weight\": 9412, \"source\": 1, \"target\": 8}, {\"weight\": 8162, \"source\": 1, \"target\": 7}, {\"weight\": 3924, \"source\": 1, \"target\": 6}, {\"weight\": 15685, \"source\": 1, \"target\": 2}, {\"weight\": 19454, \"source\": 2, \"target\": 3}, {\"weight\": 15242, \"source\": 2, \"target\": 5}, {\"weight\": 20224, \"source\": 2, \"target\": 4}, {\"weight\": 17582, \"source\": 2, \"target\": 8}, {\"weight\": 18525, \"source\": 2, \"target\": 7}, {\"weight\": 15076, \"source\": 2, \"target\": 6}, {\"weight\": 809, \"source\": 3, \"target\": 4}, {\"weight\": 9198, \"source\": 3, \"target\": 5}, {\"weight\": 3322, \"source\": 3, \"target\": 8}, {\"weight\": 1443, \"source\": 3, \"target\": 7}, {\"weight\": 7795, \"source\": 3, \"target\": 6}, {\"weight\": 8748, \"source\": 4, \"target\": 5}, {\"weight\": 4037, \"source\": 4, \"target\": 8}, {\"weight\": 2252, \"source\": 4, \"target\": 7}, {\"weight\": 7365, \"source\": 4, \"target\": 6}, {\"weight\": 11363, \"source\": 5, \"target\": 8}, {\"weight\": 10493, \"source\": 5, \"target\": 7}, {\"weight\": 4031, \"source\": 5, \"target\": 6}, {\"weight\": 8934, \"source\": 6, \"target\": 8}, {\"weight\": 8726, \"source\": 6, \"target\": 7}, {\"weight\": 2635, \"source\": 7, \"target\": 8}]}",
"id": 831,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BZG, FDF, TUO, BCN, SVQ, PVA, LBE, OSI, RVN\n- Travel distances (in kilometers) between each pair of airports:\nBZG to BCN: 2390\nBZG to FDF: 8657\nBZG to PVA: 10691\nBZG to SVQ: 2882\nBZG to RVN: 3691\nBZG to OSI: 2738\nBZG to LBE: 8328\nBZG to TUO: 19883\nFDF to BCN: 7676\nFDF to PVA: 2829\nFDF to SVQ: 7723\nFDF to RVN: 9412\nFDF to OSI: 8162\nFDF to LBE: 3924\nFDF to TUO: 15685\nTUO to BCN: 19454\nTUO to PVA: 15242\nTUO to SVQ: 20224\nTUO to RVN: 17582\nTUO to OSI: 18525\nTUO to LBE: 15076\nBCN to SVQ: 809\nBCN to PVA: 9198\nBCN to RVN: 3322\nBCN to OSI: 1443\nBCN to LBE: 7795\nSVQ to PVA: 8748\nSVQ to RVN: 4037\nSVQ to OSI: 2252\nSVQ to LBE: 7365\nPVA to RVN: 11363\nPVA to OSI: 10493\nPVA to LBE: 4031\nLBE to RVN: 8934\nLBE to OSI: 8726\nOSI to RVN: 2635\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: YCD, AQA, LPT, DBQ, KBU, CGR, YRG, CRM, REX\n- Travel distances (in kilometers) between each pair of airports:\nYCD to CRM: 11056\nYCD to CGR: 10927\nYCD to REX: 4505\nYCD to DBQ: 3118\nYCD to AQA: 11253\nYCD to KBU: 13145\nYCD to LPT: 12387\nYCD to YRG: 5290\nAQA to CRM: 19380\nAQA to CGR: 996\nAQA to REX: 8153\nAQA to DBQ: 8827\nAQA to KBU: 18618\nAQA to LPT: 17271\nAQA to YRG: 9713\nLPT to CRM: 3163\nLPT to CGR: 17869\nLPT to REX: 16723\nLPT to DBQ: 14640\nLPT to KBU: 3624\nLPT to YRG: 14812\nDBQ to CRM: 13809\nDBQ to CGR: 8501\nDBQ to REX: 3688\nDBQ to KBU: 15861\nDBQ to YRG: 2992\nKBU to CRM: 2992\nKBU to CGR: 18850\nKBU to REX: 17187\nKBU to YRG: 17240\nCGR to CRM: 19797\nCGR to REX: 7827\nCGR to YRG: 9387\nYRG to CRM: 15738\nYRG to REX: 5807\nCRM to REX: 15095\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 55683,
"style": "rule"
}
|
{
"exact_answer": 55683,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"YCD\", \"id\": 0}, {\"name\": \"AQA\", \"id\": 1}, {\"name\": \"LPT\", \"id\": 2}, {\"name\": \"DBQ\", \"id\": 3}, {\"name\": \"KBU\", \"id\": 4}, {\"name\": \"CGR\", \"id\": 5}, {\"name\": \"YRG\", \"id\": 6}, {\"name\": \"CRM\", \"id\": 7}, {\"name\": \"REX\", \"id\": 8}], \"links\": [{\"weight\": 11056, \"source\": 0, \"target\": 7}, {\"weight\": 10927, \"source\": 0, \"target\": 5}, {\"weight\": 4505, \"source\": 0, \"target\": 8}, {\"weight\": 3118, \"source\": 0, \"target\": 3}, {\"weight\": 11253, \"source\": 0, \"target\": 1}, {\"weight\": 13145, \"source\": 0, \"target\": 4}, {\"weight\": 12387, \"source\": 0, \"target\": 2}, {\"weight\": 5290, \"source\": 0, \"target\": 6}, {\"weight\": 19380, \"source\": 1, \"target\": 7}, {\"weight\": 996, \"source\": 1, \"target\": 5}, {\"weight\": 8153, \"source\": 1, \"target\": 8}, {\"weight\": 8827, \"source\": 1, \"target\": 3}, {\"weight\": 18618, \"source\": 1, \"target\": 4}, {\"weight\": 17271, \"source\": 1, \"target\": 2}, {\"weight\": 9713, \"source\": 1, \"target\": 6}, {\"weight\": 3163, \"source\": 2, \"target\": 7}, {\"weight\": 17869, \"source\": 2, \"target\": 5}, {\"weight\": 16723, \"source\": 2, \"target\": 8}, {\"weight\": 14640, \"source\": 2, \"target\": 3}, {\"weight\": 3624, \"source\": 2, \"target\": 4}, {\"weight\": 14812, \"source\": 2, \"target\": 6}, {\"weight\": 13809, \"source\": 3, \"target\": 7}, {\"weight\": 8501, \"source\": 3, \"target\": 5}, {\"weight\": 3688, \"source\": 3, \"target\": 8}, {\"weight\": 15861, \"source\": 3, \"target\": 4}, {\"weight\": 2992, \"source\": 3, \"target\": 6}, {\"weight\": 2992, \"source\": 4, \"target\": 7}, {\"weight\": 18850, \"source\": 4, \"target\": 5}, {\"weight\": 17187, \"source\": 4, \"target\": 8}, {\"weight\": 17240, \"source\": 4, \"target\": 6}, {\"weight\": 19797, \"source\": 5, \"target\": 7}, {\"weight\": 7827, \"source\": 5, \"target\": 8}, {\"weight\": 9387, \"source\": 5, \"target\": 6}, {\"weight\": 15738, \"source\": 6, \"target\": 7}, {\"weight\": 5807, \"source\": 6, \"target\": 8}, {\"weight\": 15095, \"source\": 7, \"target\": 8}]}",
"id": 832,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: YCD, AQA, LPT, DBQ, KBU, CGR, YRG, CRM, REX\n- Travel distances (in kilometers) between each pair of airports:\nYCD to CRM: 11056\nYCD to CGR: 10927\nYCD to REX: 4505\nYCD to DBQ: 3118\nYCD to AQA: 11253\nYCD to KBU: 13145\nYCD to LPT: 12387\nYCD to YRG: 5290\nAQA to CRM: 19380\nAQA to CGR: 996\nAQA to REX: 8153\nAQA to DBQ: 8827\nAQA to KBU: 18618\nAQA to LPT: 17271\nAQA to YRG: 9713\nLPT to CRM: 3163\nLPT to CGR: 17869\nLPT to REX: 16723\nLPT to DBQ: 14640\nLPT to KBU: 3624\nLPT to YRG: 14812\nDBQ to CRM: 13809\nDBQ to CGR: 8501\nDBQ to REX: 3688\nDBQ to KBU: 15861\nDBQ to YRG: 2992\nKBU to CRM: 2992\nKBU to CGR: 18850\nKBU to REX: 17187\nKBU to YRG: 17240\nCGR to CRM: 19797\nCGR to REX: 7827\nCGR to YRG: 9387\nYRG to CRM: 15738\nYRG to REX: 5807\nCRM to REX: 15095\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PIE, LWO, PVU, ABA, OGS, ULN, MDL, CEB, BHM\n- Travel distances (in kilometers) between each pair of airports:\nPIE to CEB: 14935\nPIE to MDL: 15090\nPIE to OGS: 2105\nPIE to BHM: 1213\nPIE to ULN: 13361\nPIE to PVU: 3920\nPIE to ABA: 12515\nPIE to LWO: 8864\nLWO to CEB: 9856\nLWO to MDL: 7988\nLWO to OGS: 7430\nLWO to BHM: 8571\nLWO to ULN: 5894\nLWO to PVU: 10721\nLWO to ABA: 4597\nPVU to CEB: 12844\nPVU to MDL: 13603\nPVU to OGS: 4467\nPVU to BHM: 3598\nPVU to ULN: 11874\nPVU to ABA: 13236\nABA to CEB: 5969\nABA to MDL: 5423\nABA to OGS: 11050\nABA to BHM: 12189\nABA to ULN: 2688\nOGS to CEB: 14524\nOGS to MDL: 14346\nOGS to BHM: 1813\nOGS to ULN: 12311\nULN to CEB: 4607\nULN to MDL: 4061\nULN to BHM: 12669\nMDL to CEB: 3653\nMDL to BHM: 14398\nCEB to BHM: 14206\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 42189,
"style": "rule"
}
|
{
"exact_answer": 42189,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"PIE\", \"id\": 0}, {\"name\": \"LWO\", \"id\": 1}, {\"name\": \"PVU\", \"id\": 2}, {\"name\": \"ABA\", \"id\": 3}, {\"name\": \"OGS\", \"id\": 4}, {\"name\": \"ULN\", \"id\": 5}, {\"name\": \"MDL\", \"id\": 6}, {\"name\": \"CEB\", \"id\": 7}, {\"name\": \"BHM\", \"id\": 8}], \"links\": [{\"weight\": 14935, \"source\": 0, \"target\": 7}, {\"weight\": 15090, \"source\": 0, \"target\": 6}, {\"weight\": 2105, \"source\": 0, \"target\": 4}, {\"weight\": 1213, \"source\": 0, \"target\": 8}, {\"weight\": 13361, \"source\": 0, \"target\": 5}, {\"weight\": 3920, \"source\": 0, \"target\": 2}, {\"weight\": 12515, \"source\": 0, \"target\": 3}, {\"weight\": 8864, \"source\": 0, \"target\": 1}, {\"weight\": 9856, \"source\": 1, \"target\": 7}, {\"weight\": 7988, \"source\": 1, \"target\": 6}, {\"weight\": 7430, \"source\": 1, \"target\": 4}, {\"weight\": 8571, \"source\": 1, \"target\": 8}, {\"weight\": 5894, \"source\": 1, \"target\": 5}, {\"weight\": 10721, \"source\": 1, \"target\": 2}, {\"weight\": 4597, \"source\": 1, \"target\": 3}, {\"weight\": 12844, \"source\": 2, \"target\": 7}, {\"weight\": 13603, \"source\": 2, \"target\": 6}, {\"weight\": 4467, \"source\": 2, \"target\": 4}, {\"weight\": 3598, \"source\": 2, \"target\": 8}, {\"weight\": 11874, \"source\": 2, \"target\": 5}, {\"weight\": 13236, \"source\": 2, \"target\": 3}, {\"weight\": 5969, \"source\": 3, \"target\": 7}, {\"weight\": 5423, \"source\": 3, \"target\": 6}, {\"weight\": 11050, \"source\": 3, \"target\": 4}, {\"weight\": 12189, \"source\": 3, \"target\": 8}, {\"weight\": 2688, \"source\": 3, \"target\": 5}, {\"weight\": 14524, \"source\": 4, \"target\": 7}, {\"weight\": 14346, \"source\": 4, \"target\": 6}, {\"weight\": 1813, \"source\": 4, \"target\": 8}, {\"weight\": 12311, \"source\": 4, \"target\": 5}, {\"weight\": 4607, \"source\": 5, \"target\": 7}, {\"weight\": 4061, \"source\": 5, \"target\": 6}, {\"weight\": 12669, \"source\": 5, \"target\": 8}, {\"weight\": 3653, \"source\": 6, \"target\": 7}, {\"weight\": 14398, \"source\": 6, \"target\": 8}, {\"weight\": 14206, \"source\": 7, \"target\": 8}]}",
"id": 833,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PIE, LWO, PVU, ABA, OGS, ULN, MDL, CEB, BHM\n- Travel distances (in kilometers) between each pair of airports:\nPIE to CEB: 14935\nPIE to MDL: 15090\nPIE to OGS: 2105\nPIE to BHM: 1213\nPIE to ULN: 13361\nPIE to PVU: 3920\nPIE to ABA: 12515\nPIE to LWO: 8864\nLWO to CEB: 9856\nLWO to MDL: 7988\nLWO to OGS: 7430\nLWO to BHM: 8571\nLWO to ULN: 5894\nLWO to PVU: 10721\nLWO to ABA: 4597\nPVU to CEB: 12844\nPVU to MDL: 13603\nPVU to OGS: 4467\nPVU to BHM: 3598\nPVU to ULN: 11874\nPVU to ABA: 13236\nABA to CEB: 5969\nABA to MDL: 5423\nABA to OGS: 11050\nABA to BHM: 12189\nABA to ULN: 2688\nOGS to CEB: 14524\nOGS to MDL: 14346\nOGS to BHM: 1813\nOGS to ULN: 12311\nULN to CEB: 4607\nULN to MDL: 4061\nULN to BHM: 12669\nMDL to CEB: 3653\nMDL to BHM: 14398\nCEB to BHM: 14206\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: GEL, GRQ, UTT, BOD, SRX, TVY, CHY, KCQ, PFO\n- Travel distances (in kilometers) between each pair of airports:\nGEL to BOD: 10114\nGEL to TVY: 18026\nGEL to PFO: 12526\nGEL to GRQ: 11154\nGEL to KCQ: 14501\nGEL to CHY: 16017\nGEL to SRX: 11052\nGEL to UTT: 9254\nGRQ to BOD: 1347\nGRQ to TVY: 9333\nGRQ to PFO: 3056\nGRQ to KCQ: 11342\nGRQ to CHY: 16462\nGRQ to SRX: 2748\nGRQ to UTT: 9992\nUTT to BOD: 9358\nUTT to TVY: 10592\nUTT to PFO: 8818\nUTT to KCQ: 19887\nUTT to CHY: 15007\nUTT to SRX: 8989\nBOD to TVY: 9626\nBOD to PFO: 3028\nBOD to KCQ: 11457\nBOD to CHY: 17022\nBOD to SRX: 2146\nSRX to TVY: 9183\nSRX to PFO: 2460\nSRX to KCQ: 13488\nSRX to CHY: 17026\nTVY to PFO: 7892\nTVY to KCQ: 15390\nTVY to CHY: 9012\nCHY to PFO: 15381\nCHY to KCQ: 12936\nKCQ to PFO: 13813\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 69133,
"style": "rule"
}
|
{
"exact_answer": 69133,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"GEL\", \"id\": 0}, {\"name\": \"GRQ\", \"id\": 1}, {\"name\": \"UTT\", \"id\": 2}, {\"name\": \"BOD\", \"id\": 3}, {\"name\": \"SRX\", \"id\": 4}, {\"name\": \"TVY\", \"id\": 5}, {\"name\": \"CHY\", \"id\": 6}, {\"name\": \"KCQ\", \"id\": 7}, {\"name\": \"PFO\", \"id\": 8}], \"links\": [{\"weight\": 10114, \"source\": 0, \"target\": 3}, {\"weight\": 18026, \"source\": 0, \"target\": 5}, {\"weight\": 12526, \"source\": 0, \"target\": 8}, {\"weight\": 11154, \"source\": 0, \"target\": 1}, {\"weight\": 14501, \"source\": 0, \"target\": 7}, {\"weight\": 16017, \"source\": 0, \"target\": 6}, {\"weight\": 11052, \"source\": 0, \"target\": 4}, {\"weight\": 9254, \"source\": 0, \"target\": 2}, {\"weight\": 1347, \"source\": 1, \"target\": 3}, {\"weight\": 9333, \"source\": 1, \"target\": 5}, {\"weight\": 3056, \"source\": 1, \"target\": 8}, {\"weight\": 11342, \"source\": 1, \"target\": 7}, {\"weight\": 16462, \"source\": 1, \"target\": 6}, {\"weight\": 2748, \"source\": 1, \"target\": 4}, {\"weight\": 9992, \"source\": 1, \"target\": 2}, {\"weight\": 9358, \"source\": 2, \"target\": 3}, {\"weight\": 10592, \"source\": 2, \"target\": 5}, {\"weight\": 8818, \"source\": 2, \"target\": 8}, {\"weight\": 19887, \"source\": 2, \"target\": 7}, {\"weight\": 15007, \"source\": 2, \"target\": 6}, {\"weight\": 8989, \"source\": 2, \"target\": 4}, {\"weight\": 9626, \"source\": 3, \"target\": 5}, {\"weight\": 3028, \"source\": 3, \"target\": 8}, {\"weight\": 11457, \"source\": 3, \"target\": 7}, {\"weight\": 17022, \"source\": 3, \"target\": 6}, {\"weight\": 2146, \"source\": 3, \"target\": 4}, {\"weight\": 9183, \"source\": 4, \"target\": 5}, {\"weight\": 2460, \"source\": 4, \"target\": 8}, {\"weight\": 13488, \"source\": 4, \"target\": 7}, {\"weight\": 17026, \"source\": 4, \"target\": 6}, {\"weight\": 7892, \"source\": 5, \"target\": 8}, {\"weight\": 15390, \"source\": 5, \"target\": 7}, {\"weight\": 9012, \"source\": 5, \"target\": 6}, {\"weight\": 15381, \"source\": 6, \"target\": 8}, {\"weight\": 12936, \"source\": 6, \"target\": 7}, {\"weight\": 13813, \"source\": 7, \"target\": 8}]}",
"id": 834,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: GEL, GRQ, UTT, BOD, SRX, TVY, CHY, KCQ, PFO\n- Travel distances (in kilometers) between each pair of airports:\nGEL to BOD: 10114\nGEL to TVY: 18026\nGEL to PFO: 12526\nGEL to GRQ: 11154\nGEL to KCQ: 14501\nGEL to CHY: 16017\nGEL to SRX: 11052\nGEL to UTT: 9254\nGRQ to BOD: 1347\nGRQ to TVY: 9333\nGRQ to PFO: 3056\nGRQ to KCQ: 11342\nGRQ to CHY: 16462\nGRQ to SRX: 2748\nGRQ to UTT: 9992\nUTT to BOD: 9358\nUTT to TVY: 10592\nUTT to PFO: 8818\nUTT to KCQ: 19887\nUTT to CHY: 15007\nUTT to SRX: 8989\nBOD to TVY: 9626\nBOD to PFO: 3028\nBOD to KCQ: 11457\nBOD to CHY: 17022\nBOD to SRX: 2146\nSRX to TVY: 9183\nSRX to PFO: 2460\nSRX to KCQ: 13488\nSRX to CHY: 17026\nTVY to PFO: 7892\nTVY to KCQ: 15390\nTVY to CHY: 9012\nCHY to PFO: 15381\nCHY to KCQ: 12936\nKCQ to PFO: 13813\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: MXH, RFP, BJL, NTN, YES, OKJ, BGO, LBA, HHH\n- Travel distances (in kilometers) between each pair of airports:\nMXH to BJL: 19127\nMXH to BGO: 14515\nMXH to HHH: 16580\nMXH to LBA: 15232\nMXH to OKJ: 6799\nMXH to YES: 12540\nMXH to NTN: 1903\nMXH to RFP: 8622\nRFP to BJL: 16593\nRFP to BGO: 15425\nRFP to HHH: 10572\nRFP to LBA: 15530\nRFP to OKJ: 10827\nRFP to YES: 18052\nRFP to NTN: 8195\nBJL to BGO: 5543\nBJL to HHH: 7430\nBJL to LBA: 4720\nBJL to OKJ: 13923\nBJL to YES: 8119\nBJL to NTN: 18963\nNTN to BGO: 14969\nNTN to HHH: 17095\nNTN to LBA: 15686\nNTN to OKJ: 6491\nNTN to YES: 12660\nYES to BGO: 5266\nYES to HHH: 11804\nYES to LBA: 5279\nYES to OKJ: 7888\nOKJ to BGO: 8850\nOKJ to HHH: 12231\nOKJ to LBA: 9592\nBGO to HHH: 6751\nBGO to LBA: 920\nLBA to HHH: 6556\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 53693,
"style": "rule"
}
|
{
"exact_answer": 53693,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"MXH\", \"id\": 0}, {\"name\": \"RFP\", \"id\": 1}, {\"name\": \"BJL\", \"id\": 2}, {\"name\": \"NTN\", \"id\": 3}, {\"name\": \"YES\", \"id\": 4}, {\"name\": \"OKJ\", \"id\": 5}, {\"name\": \"BGO\", \"id\": 6}, {\"name\": \"LBA\", \"id\": 7}, {\"name\": \"HHH\", \"id\": 8}], \"links\": [{\"weight\": 19127, \"source\": 0, \"target\": 2}, {\"weight\": 14515, \"source\": 0, \"target\": 6}, {\"weight\": 16580, \"source\": 0, \"target\": 8}, {\"weight\": 15232, \"source\": 0, \"target\": 7}, {\"weight\": 6799, \"source\": 0, \"target\": 5}, {\"weight\": 12540, \"source\": 0, \"target\": 4}, {\"weight\": 1903, \"source\": 0, \"target\": 3}, {\"weight\": 8622, \"source\": 0, \"target\": 1}, {\"weight\": 16593, \"source\": 1, \"target\": 2}, {\"weight\": 15425, \"source\": 1, \"target\": 6}, {\"weight\": 10572, \"source\": 1, \"target\": 8}, {\"weight\": 15530, \"source\": 1, \"target\": 7}, {\"weight\": 10827, \"source\": 1, \"target\": 5}, {\"weight\": 18052, \"source\": 1, \"target\": 4}, {\"weight\": 8195, \"source\": 1, \"target\": 3}, {\"weight\": 5543, \"source\": 2, \"target\": 6}, {\"weight\": 7430, \"source\": 2, \"target\": 8}, {\"weight\": 4720, \"source\": 2, \"target\": 7}, {\"weight\": 13923, \"source\": 2, \"target\": 5}, {\"weight\": 8119, \"source\": 2, \"target\": 4}, {\"weight\": 18963, \"source\": 2, \"target\": 3}, {\"weight\": 14969, \"source\": 3, \"target\": 6}, {\"weight\": 17095, \"source\": 3, \"target\": 8}, {\"weight\": 15686, \"source\": 3, \"target\": 7}, {\"weight\": 6491, \"source\": 3, \"target\": 5}, {\"weight\": 12660, \"source\": 3, \"target\": 4}, {\"weight\": 5266, \"source\": 4, \"target\": 6}, {\"weight\": 11804, \"source\": 4, \"target\": 8}, {\"weight\": 5279, \"source\": 4, \"target\": 7}, {\"weight\": 7888, \"source\": 4, \"target\": 5}, {\"weight\": 8850, \"source\": 5, \"target\": 6}, {\"weight\": 12231, \"source\": 5, \"target\": 8}, {\"weight\": 9592, \"source\": 5, \"target\": 7}, {\"weight\": 6751, \"source\": 6, \"target\": 8}, {\"weight\": 920, \"source\": 6, \"target\": 7}, {\"weight\": 6556, \"source\": 7, \"target\": 8}]}",
"id": 835,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: MXH, RFP, BJL, NTN, YES, OKJ, BGO, LBA, HHH\n- Travel distances (in kilometers) between each pair of airports:\nMXH to BJL: 19127\nMXH to BGO: 14515\nMXH to HHH: 16580\nMXH to LBA: 15232\nMXH to OKJ: 6799\nMXH to YES: 12540\nMXH to NTN: 1903\nMXH to RFP: 8622\nRFP to BJL: 16593\nRFP to BGO: 15425\nRFP to HHH: 10572\nRFP to LBA: 15530\nRFP to OKJ: 10827\nRFP to YES: 18052\nRFP to NTN: 8195\nBJL to BGO: 5543\nBJL to HHH: 7430\nBJL to LBA: 4720\nBJL to OKJ: 13923\nBJL to YES: 8119\nBJL to NTN: 18963\nNTN to BGO: 14969\nNTN to HHH: 17095\nNTN to LBA: 15686\nNTN to OKJ: 6491\nNTN to YES: 12660\nYES to BGO: 5266\nYES to HHH: 11804\nYES to LBA: 5279\nYES to OKJ: 7888\nOKJ to BGO: 8850\nOKJ to HHH: 12231\nOKJ to LBA: 9592\nBGO to HHH: 6751\nBGO to LBA: 920\nLBA to HHH: 6556\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: MOI, MQL, EIN, RAO, YEV, COR, KAL, GVA, HSL\n- Travel distances (in kilometers) between each pair of airports:\nMOI to GVA: 17308\nMOI to RAO: 12306\nMOI to YEV: 12127\nMOI to HSL: 11120\nMOI to KAL: 11239\nMOI to COR: 10064\nMOI to EIN: 16984\nMOI to MQL: 6087\nMQL to GVA: 16253\nMQL to RAO: 15077\nMQL to YEV: 16289\nMQL to HSL: 14306\nMQL to KAL: 14425\nMQL to COR: 12835\nMQL to EIN: 16257\nEIN to GVA: 1123\nEIN to RAO: 9673\nEIN to YEV: 9306\nEIN to HSL: 10921\nEIN to KAL: 11040\nEIN to COR: 11693\nRAO to GVA: 9330\nRAO to YEV: 12371\nRAO to HSL: 13639\nRAO to KAL: 13758\nRAO to COR: 2242\nYEV to GVA: 9705\nYEV to HSL: 5908\nYEV to KAL: 6027\nYEV to COR: 12703\nCOR to GVA: 11335\nCOR to HSL: 13429\nCOR to KAL: 13548\nKAL to HSL: 190\nKAL to GVA: 11442\nGVA to HSL: 11323\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 58260,
"style": "rule"
}
|
{
"exact_answer": 58260,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"MOI\", \"id\": 0}, {\"name\": \"MQL\", \"id\": 1}, {\"name\": \"EIN\", \"id\": 2}, {\"name\": \"RAO\", \"id\": 3}, {\"name\": \"YEV\", \"id\": 4}, {\"name\": \"COR\", \"id\": 5}, {\"name\": \"KAL\", \"id\": 6}, {\"name\": \"GVA\", \"id\": 7}, {\"name\": \"HSL\", \"id\": 8}], \"links\": [{\"weight\": 17308, \"source\": 0, \"target\": 7}, {\"weight\": 12306, \"source\": 0, \"target\": 3}, {\"weight\": 12127, \"source\": 0, \"target\": 4}, {\"weight\": 11120, \"source\": 0, \"target\": 8}, {\"weight\": 11239, \"source\": 0, \"target\": 6}, {\"weight\": 10064, \"source\": 0, \"target\": 5}, {\"weight\": 16984, \"source\": 0, \"target\": 2}, {\"weight\": 6087, \"source\": 0, \"target\": 1}, {\"weight\": 16253, \"source\": 1, \"target\": 7}, {\"weight\": 15077, \"source\": 1, \"target\": 3}, {\"weight\": 16289, \"source\": 1, \"target\": 4}, {\"weight\": 14306, \"source\": 1, \"target\": 8}, {\"weight\": 14425, \"source\": 1, \"target\": 6}, {\"weight\": 12835, \"source\": 1, \"target\": 5}, {\"weight\": 16257, \"source\": 1, \"target\": 2}, {\"weight\": 1123, \"source\": 2, \"target\": 7}, {\"weight\": 9673, \"source\": 2, \"target\": 3}, {\"weight\": 9306, \"source\": 2, \"target\": 4}, {\"weight\": 10921, \"source\": 2, \"target\": 8}, {\"weight\": 11040, \"source\": 2, \"target\": 6}, {\"weight\": 11693, \"source\": 2, \"target\": 5}, {\"weight\": 9330, \"source\": 3, \"target\": 7}, {\"weight\": 12371, \"source\": 3, \"target\": 4}, {\"weight\": 13639, \"source\": 3, \"target\": 8}, {\"weight\": 13758, \"source\": 3, \"target\": 6}, {\"weight\": 2242, \"source\": 3, \"target\": 5}, {\"weight\": 9705, \"source\": 4, \"target\": 7}, {\"weight\": 5908, \"source\": 4, \"target\": 8}, {\"weight\": 6027, \"source\": 4, \"target\": 6}, {\"weight\": 12703, \"source\": 4, \"target\": 5}, {\"weight\": 11335, \"source\": 5, \"target\": 7}, {\"weight\": 13429, \"source\": 5, \"target\": 8}, {\"weight\": 13548, \"source\": 5, \"target\": 6}, {\"weight\": 190, \"source\": 6, \"target\": 8}, {\"weight\": 11442, \"source\": 6, \"target\": 7}, {\"weight\": 11323, \"source\": 7, \"target\": 8}]}",
"id": 836,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: MOI, MQL, EIN, RAO, YEV, COR, KAL, GVA, HSL\n- Travel distances (in kilometers) between each pair of airports:\nMOI to GVA: 17308\nMOI to RAO: 12306\nMOI to YEV: 12127\nMOI to HSL: 11120\nMOI to KAL: 11239\nMOI to COR: 10064\nMOI to EIN: 16984\nMOI to MQL: 6087\nMQL to GVA: 16253\nMQL to RAO: 15077\nMQL to YEV: 16289\nMQL to HSL: 14306\nMQL to KAL: 14425\nMQL to COR: 12835\nMQL to EIN: 16257\nEIN to GVA: 1123\nEIN to RAO: 9673\nEIN to YEV: 9306\nEIN to HSL: 10921\nEIN to KAL: 11040\nEIN to COR: 11693\nRAO to GVA: 9330\nRAO to YEV: 12371\nRAO to HSL: 13639\nRAO to KAL: 13758\nRAO to COR: 2242\nYEV to GVA: 9705\nYEV to HSL: 5908\nYEV to KAL: 6027\nYEV to COR: 12703\nCOR to GVA: 11335\nCOR to HSL: 13429\nCOR to KAL: 13548\nKAL to HSL: 190\nKAL to GVA: 11442\nGVA to HSL: 11323\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BFQ, LGA, MWA, YPO, OIA, SDG, UIP, TAP, BMI\n- Travel distances (in kilometers) between each pair of airports:\nBFQ to LGA: 4310\nBFQ to MWA: 4277\nBFQ to UIP: 10224\nBFQ to BMI: 4225\nBFQ to TAP: 1792\nBFQ to SDG: 14385\nBFQ to OIA: 5792\nBFQ to YPO: 5897\nLGA to MWA: 1587\nLGA to UIP: 6385\nLGA to BMI: 1307\nLGA to TAP: 3562\nLGA to SDG: 10484\nLGA to OIA: 6238\nLGA to YPO: 1962\nMWA to UIP: 7735\nMWA to BMI: 764\nMWA to TAP: 3218\nMWA to SDG: 11830\nMWA to OIA: 7054\nMWA to YPO: 2601\nYPO to UIP: 7473\nYPO to BMI: 2234\nYPO to TAP: 4985\nYPO to SDG: 11608\nYPO to OIA: 8018\nOIA to UIP: 9076\nOIA to BMI: 6971\nOIA to TAP: 6072\nOIA to SDG: 12591\nSDG to UIP: 5171\nSDG to BMI: 11440\nSDG to TAP: 13883\nUIP to BMI: 7368\nUIP to TAP: 9801\nTAP to BMI: 3263\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 39909,
"style": "rule"
}
|
{
"exact_answer": 39909,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"BFQ\", \"id\": 0}, {\"name\": \"LGA\", \"id\": 1}, {\"name\": \"MWA\", \"id\": 2}, {\"name\": \"YPO\", \"id\": 3}, {\"name\": \"OIA\", \"id\": 4}, {\"name\": \"SDG\", \"id\": 5}, {\"name\": \"UIP\", \"id\": 6}, {\"name\": \"TAP\", \"id\": 7}, {\"name\": \"BMI\", \"id\": 8}], \"links\": [{\"weight\": 4310, \"source\": 0, \"target\": 1}, {\"weight\": 4277, \"source\": 0, \"target\": 2}, {\"weight\": 10224, \"source\": 0, \"target\": 6}, {\"weight\": 4225, \"source\": 0, \"target\": 8}, {\"weight\": 1792, \"source\": 0, \"target\": 7}, {\"weight\": 14385, \"source\": 0, \"target\": 5}, {\"weight\": 5792, \"source\": 0, \"target\": 4}, {\"weight\": 5897, \"source\": 0, \"target\": 3}, {\"weight\": 1587, \"source\": 1, \"target\": 2}, {\"weight\": 6385, \"source\": 1, \"target\": 6}, {\"weight\": 1307, \"source\": 1, \"target\": 8}, {\"weight\": 3562, \"source\": 1, \"target\": 7}, {\"weight\": 10484, \"source\": 1, \"target\": 5}, {\"weight\": 6238, \"source\": 1, \"target\": 4}, {\"weight\": 1962, \"source\": 1, \"target\": 3}, {\"weight\": 7735, \"source\": 2, \"target\": 6}, {\"weight\": 764, \"source\": 2, \"target\": 8}, {\"weight\": 3218, \"source\": 2, \"target\": 7}, {\"weight\": 11830, \"source\": 2, \"target\": 5}, {\"weight\": 7054, \"source\": 2, \"target\": 4}, {\"weight\": 2601, \"source\": 2, \"target\": 3}, {\"weight\": 7473, \"source\": 3, \"target\": 6}, {\"weight\": 2234, \"source\": 3, \"target\": 8}, {\"weight\": 4985, \"source\": 3, \"target\": 7}, {\"weight\": 11608, \"source\": 3, \"target\": 5}, {\"weight\": 8018, \"source\": 3, \"target\": 4}, {\"weight\": 9076, \"source\": 4, \"target\": 6}, {\"weight\": 6971, \"source\": 4, \"target\": 8}, {\"weight\": 6072, \"source\": 4, \"target\": 7}, {\"weight\": 12591, \"source\": 4, \"target\": 5}, {\"weight\": 5171, \"source\": 5, \"target\": 6}, {\"weight\": 11440, \"source\": 5, \"target\": 8}, {\"weight\": 13883, \"source\": 5, \"target\": 7}, {\"weight\": 7368, \"source\": 6, \"target\": 8}, {\"weight\": 9801, \"source\": 6, \"target\": 7}, {\"weight\": 3263, \"source\": 7, \"target\": 8}]}",
"id": 837,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BFQ, LGA, MWA, YPO, OIA, SDG, UIP, TAP, BMI\n- Travel distances (in kilometers) between each pair of airports:\nBFQ to LGA: 4310\nBFQ to MWA: 4277\nBFQ to UIP: 10224\nBFQ to BMI: 4225\nBFQ to TAP: 1792\nBFQ to SDG: 14385\nBFQ to OIA: 5792\nBFQ to YPO: 5897\nLGA to MWA: 1587\nLGA to UIP: 6385\nLGA to BMI: 1307\nLGA to TAP: 3562\nLGA to SDG: 10484\nLGA to OIA: 6238\nLGA to YPO: 1962\nMWA to UIP: 7735\nMWA to BMI: 764\nMWA to TAP: 3218\nMWA to SDG: 11830\nMWA to OIA: 7054\nMWA to YPO: 2601\nYPO to UIP: 7473\nYPO to BMI: 2234\nYPO to TAP: 4985\nYPO to SDG: 11608\nYPO to OIA: 8018\nOIA to UIP: 9076\nOIA to BMI: 6971\nOIA to TAP: 6072\nOIA to SDG: 12591\nSDG to UIP: 5171\nSDG to BMI: 11440\nSDG to TAP: 13883\nUIP to BMI: 7368\nUIP to TAP: 9801\nTAP to BMI: 3263\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: FMN, GOM, OUA, NRT, WGP, KEF, BHD, CRK, TEE\n- Travel distances (in kilometers) between each pair of airports:\nFMN to OUA: 10939\nFMN to CRK: 12997\nFMN to NRT: 9757\nFMN to BHD: 7704\nFMN to TEE: 9789\nFMN to KEF: 6191\nFMN to GOM: 14921\nFMN to WGP: 15939\nGOM to OUA: 4254\nGOM to CRK: 13358\nGOM to NRT: 15030\nGOM to BHD: 8502\nGOM to TEE: 7214\nGOM to KEF: 9893\nGOM to WGP: 13971\nOUA to CRK: 13131\nOUA to NRT: 13334\nOUA to BHD: 4859\nOUA to TEE: 3209\nOUA to KEF: 6264\nOUA to WGP: 14111\nNRT to CRK: 3800\nNRT to BHD: 9763\nNRT to TEE: 11288\nNRT to KEF: 10273\nNRT to WGP: 6182\nWGP to CRK: 3956\nWGP to BHD: 13345\nWGP to TEE: 13597\nWGP to KEF: 13881\nKEF to CRK: 11309\nKEF to BHD: 1513\nKEF to TEE: 3979\nBHD to CRK: 10799\nBHD to TEE: 2574\nCRK to TEE: 11762\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 49225,
"style": "rule"
}
|
{
"exact_answer": 49225,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"FMN\", \"id\": 0}, {\"name\": \"GOM\", \"id\": 1}, {\"name\": \"OUA\", \"id\": 2}, {\"name\": \"NRT\", \"id\": 3}, {\"name\": \"WGP\", \"id\": 4}, {\"name\": \"KEF\", \"id\": 5}, {\"name\": \"BHD\", \"id\": 6}, {\"name\": \"CRK\", \"id\": 7}, {\"name\": \"TEE\", \"id\": 8}], \"links\": [{\"weight\": 10939, \"source\": 0, \"target\": 2}, {\"weight\": 12997, \"source\": 0, \"target\": 7}, {\"weight\": 9757, \"source\": 0, \"target\": 3}, {\"weight\": 7704, \"source\": 0, \"target\": 6}, {\"weight\": 9789, \"source\": 0, \"target\": 8}, {\"weight\": 6191, \"source\": 0, \"target\": 5}, {\"weight\": 14921, \"source\": 0, \"target\": 1}, {\"weight\": 15939, \"source\": 0, \"target\": 4}, {\"weight\": 4254, \"source\": 1, \"target\": 2}, {\"weight\": 13358, \"source\": 1, \"target\": 7}, {\"weight\": 15030, \"source\": 1, \"target\": 3}, {\"weight\": 8502, \"source\": 1, \"target\": 6}, {\"weight\": 7214, \"source\": 1, \"target\": 8}, {\"weight\": 9893, \"source\": 1, \"target\": 5}, {\"weight\": 13971, \"source\": 1, \"target\": 4}, {\"weight\": 13131, \"source\": 2, \"target\": 7}, {\"weight\": 13334, \"source\": 2, \"target\": 3}, {\"weight\": 4859, \"source\": 2, \"target\": 6}, {\"weight\": 3209, \"source\": 2, \"target\": 8}, {\"weight\": 6264, \"source\": 2, \"target\": 5}, {\"weight\": 14111, \"source\": 2, \"target\": 4}, {\"weight\": 3800, \"source\": 3, \"target\": 7}, {\"weight\": 9763, \"source\": 3, \"target\": 6}, {\"weight\": 11288, \"source\": 3, \"target\": 8}, {\"weight\": 10273, \"source\": 3, \"target\": 5}, {\"weight\": 6182, \"source\": 3, \"target\": 4}, {\"weight\": 3956, \"source\": 4, \"target\": 7}, {\"weight\": 13345, \"source\": 4, \"target\": 6}, {\"weight\": 13597, \"source\": 4, \"target\": 8}, {\"weight\": 13881, \"source\": 4, \"target\": 5}, {\"weight\": 11309, \"source\": 5, \"target\": 7}, {\"weight\": 1513, \"source\": 5, \"target\": 6}, {\"weight\": 3979, \"source\": 5, \"target\": 8}, {\"weight\": 10799, \"source\": 6, \"target\": 7}, {\"weight\": 2574, \"source\": 6, \"target\": 8}, {\"weight\": 11762, \"source\": 7, \"target\": 8}]}",
"id": 838,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: FMN, GOM, OUA, NRT, WGP, KEF, BHD, CRK, TEE\n- Travel distances (in kilometers) between each pair of airports:\nFMN to OUA: 10939\nFMN to CRK: 12997\nFMN to NRT: 9757\nFMN to BHD: 7704\nFMN to TEE: 9789\nFMN to KEF: 6191\nFMN to GOM: 14921\nFMN to WGP: 15939\nGOM to OUA: 4254\nGOM to CRK: 13358\nGOM to NRT: 15030\nGOM to BHD: 8502\nGOM to TEE: 7214\nGOM to KEF: 9893\nGOM to WGP: 13971\nOUA to CRK: 13131\nOUA to NRT: 13334\nOUA to BHD: 4859\nOUA to TEE: 3209\nOUA to KEF: 6264\nOUA to WGP: 14111\nNRT to CRK: 3800\nNRT to BHD: 9763\nNRT to TEE: 11288\nNRT to KEF: 10273\nNRT to WGP: 6182\nWGP to CRK: 3956\nWGP to BHD: 13345\nWGP to TEE: 13597\nWGP to KEF: 13881\nKEF to CRK: 11309\nKEF to BHD: 1513\nKEF to TEE: 3979\nBHD to CRK: 10799\nBHD to TEE: 2574\nCRK to TEE: 11762\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: MQP, VBY, PHL, ATT, TTE, UTT, BSS, SHD, KCK\n- Travel distances (in kilometers) between each pair of airports:\nMQP to KCK: 12433\nMQP to VBY: 10124\nMQP to ATT: 19485\nMQP to PHL: 13278\nMQP to TTE: 11565\nMQP to BSS: 10011\nMQP to UTT: 901\nMQP to SHD: 13560\nVBY to KCK: 5987\nVBY to ATT: 11164\nVBY to PHL: 6657\nVBY to TTE: 12401\nVBY to BSS: 9976\nVBY to UTT: 10429\nVBY to SHD: 7004\nPHL to KCK: 12140\nPHL to ATT: 6280\nPHL to TTE: 16996\nPHL to BSS: 6142\nPHL to UTT: 13583\nPHL to SHD: 362\nATT to KCK: 13967\nATT to TTE: 16917\nATT to BSS: 12230\nATT to UTT: 19790\nATT to SHD: 6310\nTTE to KCK: 8287\nTTE to BSS: 20777\nTTE to UTT: 11870\nTTE to SHD: 17141\nUTT to KCK: 12738\nUTT to BSS: 10316\nUTT to SHD: 13865\nBSS to KCK: 15706\nBSS to SHD: 6302\nSHD to KCK: 12476\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 61034,
"style": "rule"
}
|
{
"exact_answer": 61034,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"MQP\", \"id\": 0}, {\"name\": \"VBY\", \"id\": 1}, {\"name\": \"PHL\", \"id\": 2}, {\"name\": \"ATT\", \"id\": 3}, {\"name\": \"TTE\", \"id\": 4}, {\"name\": \"UTT\", \"id\": 5}, {\"name\": \"BSS\", \"id\": 6}, {\"name\": \"SHD\", \"id\": 7}, {\"name\": \"KCK\", \"id\": 8}], \"links\": [{\"weight\": 12433, \"source\": 0, \"target\": 8}, {\"weight\": 10124, \"source\": 0, \"target\": 1}, {\"weight\": 19485, \"source\": 0, \"target\": 3}, {\"weight\": 13278, \"source\": 0, \"target\": 2}, {\"weight\": 11565, \"source\": 0, \"target\": 4}, {\"weight\": 10011, \"source\": 0, \"target\": 6}, {\"weight\": 901, \"source\": 0, \"target\": 5}, {\"weight\": 13560, \"source\": 0, \"target\": 7}, {\"weight\": 5987, \"source\": 1, \"target\": 8}, {\"weight\": 11164, \"source\": 1, \"target\": 3}, {\"weight\": 6657, \"source\": 1, \"target\": 2}, {\"weight\": 12401, \"source\": 1, \"target\": 4}, {\"weight\": 9976, \"source\": 1, \"target\": 6}, {\"weight\": 10429, \"source\": 1, \"target\": 5}, {\"weight\": 7004, \"source\": 1, \"target\": 7}, {\"weight\": 12140, \"source\": 2, \"target\": 8}, {\"weight\": 6280, \"source\": 2, \"target\": 3}, {\"weight\": 16996, \"source\": 2, \"target\": 4}, {\"weight\": 6142, \"source\": 2, \"target\": 6}, {\"weight\": 13583, \"source\": 2, \"target\": 5}, {\"weight\": 362, \"source\": 2, \"target\": 7}, {\"weight\": 13967, \"source\": 3, \"target\": 8}, {\"weight\": 16917, \"source\": 3, \"target\": 4}, {\"weight\": 12230, \"source\": 3, \"target\": 6}, {\"weight\": 19790, \"source\": 3, \"target\": 5}, {\"weight\": 6310, \"source\": 3, \"target\": 7}, {\"weight\": 8287, \"source\": 4, \"target\": 8}, {\"weight\": 20777, \"source\": 4, \"target\": 6}, {\"weight\": 11870, \"source\": 4, \"target\": 5}, {\"weight\": 17141, \"source\": 4, \"target\": 7}, {\"weight\": 12738, \"source\": 5, \"target\": 8}, {\"weight\": 10316, \"source\": 5, \"target\": 6}, {\"weight\": 13865, \"source\": 5, \"target\": 7}, {\"weight\": 15706, \"source\": 6, \"target\": 8}, {\"weight\": 6302, \"source\": 6, \"target\": 7}, {\"weight\": 12476, \"source\": 7, \"target\": 8}]}",
"id": 839,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: MQP, VBY, PHL, ATT, TTE, UTT, BSS, SHD, KCK\n- Travel distances (in kilometers) between each pair of airports:\nMQP to KCK: 12433\nMQP to VBY: 10124\nMQP to ATT: 19485\nMQP to PHL: 13278\nMQP to TTE: 11565\nMQP to BSS: 10011\nMQP to UTT: 901\nMQP to SHD: 13560\nVBY to KCK: 5987\nVBY to ATT: 11164\nVBY to PHL: 6657\nVBY to TTE: 12401\nVBY to BSS: 9976\nVBY to UTT: 10429\nVBY to SHD: 7004\nPHL to KCK: 12140\nPHL to ATT: 6280\nPHL to TTE: 16996\nPHL to BSS: 6142\nPHL to UTT: 13583\nPHL to SHD: 362\nATT to KCK: 13967\nATT to TTE: 16917\nATT to BSS: 12230\nATT to UTT: 19790\nATT to SHD: 6310\nTTE to KCK: 8287\nTTE to BSS: 20777\nTTE to UTT: 11870\nTTE to SHD: 17141\nUTT to KCK: 12738\nUTT to BSS: 10316\nUTT to SHD: 13865\nBSS to KCK: 15706\nBSS to SHD: 6302\nSHD to KCK: 12476\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: NTE, ELV, KSO, PVA, GNU, YTL, DAX, KHS, VLL\n- Travel distances (in kilometers) between each pair of airports:\nNTE to GNU: 11303\nNTE to PVA: 8908\nNTE to DAX: 9825\nNTE to VLL: 1292\nNTE to KSO: 2677\nNTE to ELV: 9719\nNTE to YTL: 7644\nNTE to KHS: 6209\nELV to GNU: 1844\nELV to PVA: 7993\nELV to DAX: 11517\nELV to VLL: 10950\nELV to KSO: 11938\nELV to YTL: 4304\nELV to KHS: 14192\nKSO to GNU: 13522\nKSO to PVA: 11453\nKSO to DAX: 8772\nKSO to VLL: 2843\nKSO to YTL: 10102\nKSO to KHS: 4332\nPVA to GNU: 9488\nPVA to DAX: 16147\nPVA to VLL: 9776\nPVA to YTL: 6021\nPVA to KHS: 15063\nGNU to DAX: 13101\nGNU to VLL: 12534\nGNU to YTL: 5888\nGNU to KHS: 15776\nYTL to DAX: 12451\nYTL to VLL: 8609\nYTL to KHS: 13361\nDAX to VLL: 10662\nDAX to KHS: 5695\nKHS to VLL: 6453\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 48340,
"style": "rule"
}
|
{
"exact_answer": 48340,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"NTE\", \"id\": 0}, {\"name\": \"ELV\", \"id\": 1}, {\"name\": \"KSO\", \"id\": 2}, {\"name\": \"PVA\", \"id\": 3}, {\"name\": \"GNU\", \"id\": 4}, {\"name\": \"YTL\", \"id\": 5}, {\"name\": \"DAX\", \"id\": 6}, {\"name\": \"KHS\", \"id\": 7}, {\"name\": \"VLL\", \"id\": 8}], \"links\": [{\"weight\": 11303, \"source\": 0, \"target\": 4}, {\"weight\": 8908, \"source\": 0, \"target\": 3}, {\"weight\": 9825, \"source\": 0, \"target\": 6}, {\"weight\": 1292, \"source\": 0, \"target\": 8}, {\"weight\": 2677, \"source\": 0, \"target\": 2}, {\"weight\": 9719, \"source\": 0, \"target\": 1}, {\"weight\": 7644, \"source\": 0, \"target\": 5}, {\"weight\": 6209, \"source\": 0, \"target\": 7}, {\"weight\": 1844, \"source\": 1, \"target\": 4}, {\"weight\": 7993, \"source\": 1, \"target\": 3}, {\"weight\": 11517, \"source\": 1, \"target\": 6}, {\"weight\": 10950, \"source\": 1, \"target\": 8}, {\"weight\": 11938, \"source\": 1, \"target\": 2}, {\"weight\": 4304, \"source\": 1, \"target\": 5}, {\"weight\": 14192, \"source\": 1, \"target\": 7}, {\"weight\": 13522, \"source\": 2, \"target\": 4}, {\"weight\": 11453, \"source\": 2, \"target\": 3}, {\"weight\": 8772, \"source\": 2, \"target\": 6}, {\"weight\": 2843, \"source\": 2, \"target\": 8}, {\"weight\": 10102, \"source\": 2, \"target\": 5}, {\"weight\": 4332, \"source\": 2, \"target\": 7}, {\"weight\": 9488, \"source\": 3, \"target\": 4}, {\"weight\": 16147, \"source\": 3, \"target\": 6}, {\"weight\": 9776, \"source\": 3, \"target\": 8}, {\"weight\": 6021, \"source\": 3, \"target\": 5}, {\"weight\": 15063, \"source\": 3, \"target\": 7}, {\"weight\": 13101, \"source\": 4, \"target\": 6}, {\"weight\": 12534, \"source\": 4, \"target\": 8}, {\"weight\": 5888, \"source\": 4, \"target\": 5}, {\"weight\": 15776, \"source\": 4, \"target\": 7}, {\"weight\": 12451, \"source\": 5, \"target\": 6}, {\"weight\": 8609, \"source\": 5, \"target\": 8}, {\"weight\": 13361, \"source\": 5, \"target\": 7}, {\"weight\": 10662, \"source\": 6, \"target\": 8}, {\"weight\": 5695, \"source\": 6, \"target\": 7}, {\"weight\": 6453, \"source\": 7, \"target\": 8}]}",
"id": 840,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: NTE, ELV, KSO, PVA, GNU, YTL, DAX, KHS, VLL\n- Travel distances (in kilometers) between each pair of airports:\nNTE to GNU: 11303\nNTE to PVA: 8908\nNTE to DAX: 9825\nNTE to VLL: 1292\nNTE to KSO: 2677\nNTE to ELV: 9719\nNTE to YTL: 7644\nNTE to KHS: 6209\nELV to GNU: 1844\nELV to PVA: 7993\nELV to DAX: 11517\nELV to VLL: 10950\nELV to KSO: 11938\nELV to YTL: 4304\nELV to KHS: 14192\nKSO to GNU: 13522\nKSO to PVA: 11453\nKSO to DAX: 8772\nKSO to VLL: 2843\nKSO to YTL: 10102\nKSO to KHS: 4332\nPVA to GNU: 9488\nPVA to DAX: 16147\nPVA to VLL: 9776\nPVA to YTL: 6021\nPVA to KHS: 15063\nGNU to DAX: 13101\nGNU to VLL: 12534\nGNU to YTL: 5888\nGNU to KHS: 15776\nYTL to DAX: 12451\nYTL to VLL: 8609\nYTL to KHS: 13361\nDAX to VLL: 10662\nDAX to KHS: 5695\nKHS to VLL: 6453\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CPH, BGF, JIC, SHD, LTD, OST, PGV, PTJ, VVC\n- Travel distances (in kilometers) between each pair of airports:\nCPH to VVC: 9523\nCPH to PGV: 7379\nCPH to BGF: 6189\nCPH to JIC: 7180\nCPH to OST: 1852\nCPH to LTD: 2984\nCPH to PTJ: 17294\nCPH to SHD: 6685\nBGF to VVC: 11926\nBGF to PGV: 11195\nBGF to JIC: 11510\nBGF to OST: 6424\nBGF to LTD: 6467\nBGF to PTJ: 16665\nBGF to SHD: 10512\nJIC to VVC: 16505\nJIC to PGV: 13275\nJIC to OST: 8575\nJIC to LTD: 8735\nJIC to PTJ: 10846\nJIC to SHD: 12757\nSHD to VVC: 4051\nSHD to PGV: 988\nSHD to OST: 7247\nSHD to LTD: 8424\nSHD to PTJ: 17604\nLTD to VVC: 10082\nLTD to PGV: 9107\nLTD to OST: 2949\nLTD to PTJ: 17524\nOST to VVC: 9375\nOST to PGV: 7934\nOST to PTJ: 18522\nPGV to VVC: 3887\nPGV to PTJ: 17403\nPTJ to VVC: 17440\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 62121,
"style": "rule"
}
|
{
"exact_answer": 62121,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"CPH\", \"id\": 0}, {\"name\": \"BGF\", \"id\": 1}, {\"name\": \"JIC\", \"id\": 2}, {\"name\": \"SHD\", \"id\": 3}, {\"name\": \"LTD\", \"id\": 4}, {\"name\": \"OST\", \"id\": 5}, {\"name\": \"PGV\", \"id\": 6}, {\"name\": \"PTJ\", \"id\": 7}, {\"name\": \"VVC\", \"id\": 8}], \"links\": [{\"weight\": 9523, \"source\": 0, \"target\": 8}, {\"weight\": 7379, \"source\": 0, \"target\": 6}, {\"weight\": 6189, \"source\": 0, \"target\": 1}, {\"weight\": 7180, \"source\": 0, \"target\": 2}, {\"weight\": 1852, \"source\": 0, \"target\": 5}, {\"weight\": 2984, \"source\": 0, \"target\": 4}, {\"weight\": 17294, \"source\": 0, \"target\": 7}, {\"weight\": 6685, \"source\": 0, \"target\": 3}, {\"weight\": 11926, \"source\": 1, \"target\": 8}, {\"weight\": 11195, \"source\": 1, \"target\": 6}, {\"weight\": 11510, \"source\": 1, \"target\": 2}, {\"weight\": 6424, \"source\": 1, \"target\": 5}, {\"weight\": 6467, \"source\": 1, \"target\": 4}, {\"weight\": 16665, \"source\": 1, \"target\": 7}, {\"weight\": 10512, \"source\": 1, \"target\": 3}, {\"weight\": 16505, \"source\": 2, \"target\": 8}, {\"weight\": 13275, \"source\": 2, \"target\": 6}, {\"weight\": 8575, \"source\": 2, \"target\": 5}, {\"weight\": 8735, \"source\": 2, \"target\": 4}, {\"weight\": 10846, \"source\": 2, \"target\": 7}, {\"weight\": 12757, \"source\": 2, \"target\": 3}, {\"weight\": 4051, \"source\": 3, \"target\": 8}, {\"weight\": 988, \"source\": 3, \"target\": 6}, {\"weight\": 7247, \"source\": 3, \"target\": 5}, {\"weight\": 8424, \"source\": 3, \"target\": 4}, {\"weight\": 17604, \"source\": 3, \"target\": 7}, {\"weight\": 10082, \"source\": 4, \"target\": 8}, {\"weight\": 9107, \"source\": 4, \"target\": 6}, {\"weight\": 2949, \"source\": 4, \"target\": 5}, {\"weight\": 17524, \"source\": 4, \"target\": 7}, {\"weight\": 9375, \"source\": 5, \"target\": 8}, {\"weight\": 7934, \"source\": 5, \"target\": 6}, {\"weight\": 18522, \"source\": 5, \"target\": 7}, {\"weight\": 3887, \"source\": 6, \"target\": 8}, {\"weight\": 17403, \"source\": 6, \"target\": 7}, {\"weight\": 17440, \"source\": 7, \"target\": 8}]}",
"id": 841,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CPH, BGF, JIC, SHD, LTD, OST, PGV, PTJ, VVC\n- Travel distances (in kilometers) between each pair of airports:\nCPH to VVC: 9523\nCPH to PGV: 7379\nCPH to BGF: 6189\nCPH to JIC: 7180\nCPH to OST: 1852\nCPH to LTD: 2984\nCPH to PTJ: 17294\nCPH to SHD: 6685\nBGF to VVC: 11926\nBGF to PGV: 11195\nBGF to JIC: 11510\nBGF to OST: 6424\nBGF to LTD: 6467\nBGF to PTJ: 16665\nBGF to SHD: 10512\nJIC to VVC: 16505\nJIC to PGV: 13275\nJIC to OST: 8575\nJIC to LTD: 8735\nJIC to PTJ: 10846\nJIC to SHD: 12757\nSHD to VVC: 4051\nSHD to PGV: 988\nSHD to OST: 7247\nSHD to LTD: 8424\nSHD to PTJ: 17604\nLTD to VVC: 10082\nLTD to PGV: 9107\nLTD to OST: 2949\nLTD to PTJ: 17524\nOST to VVC: 9375\nOST to PGV: 7934\nOST to PTJ: 18522\nPGV to VVC: 3887\nPGV to PTJ: 17403\nPTJ to VVC: 17440\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, VCP, LPY, KWN, WGA, HRI, ATH, VLS, YPW\n- Travel distances (in kilometers) between each pair of airports:\nLKG to ATH: 5794\nLKG to KWN: 18726\nLKG to YPW: 15634\nLKG to VCP: 10494\nLKG to HRI: 6416\nLKG to VLS: 15423\nLKG to WGA: 12886\nLKG to LPY: 8266\nVCP to ATH: 10520\nVCP to KWN: 13706\nVCP to YPW: 11150\nVCP to HRI: 14624\nVCP to VLS: 14825\nVCP to WGA: 14538\nVCP to LPY: 9783\nLPY to ATH: 2523\nLPY to KWN: 11563\nLPY to YPW: 8481\nLPY to HRI: 9110\nLPY to VLS: 17771\nLPY to WGA: 17581\nKWN to ATH: 13089\nKWN to YPW: 3399\nKWN to HRI: 16912\nKWN to VLS: 11399\nKWN to WGA: 13761\nWGA to ATH: 15277\nWGA to YPW: 12983\nWGA to HRI: 9061\nWGA to VLS: 2949\nHRI to ATH: 6727\nHRI to YPW: 13766\nHRI to VLS: 10642\nATH to YPW: 9975\nATH to VLS: 16413\nVLS to YPW: 10644\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 62474,
"style": "rule"
}
|
{
"exact_answer": 62474,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"LKG\", \"id\": 0}, {\"name\": \"VCP\", \"id\": 1}, {\"name\": \"LPY\", \"id\": 2}, {\"name\": \"KWN\", \"id\": 3}, {\"name\": \"WGA\", \"id\": 4}, {\"name\": \"HRI\", \"id\": 5}, {\"name\": \"ATH\", \"id\": 6}, {\"name\": \"VLS\", \"id\": 7}, {\"name\": \"YPW\", \"id\": 8}], \"links\": [{\"weight\": 5794, \"source\": 0, \"target\": 6}, {\"weight\": 18726, \"source\": 0, \"target\": 3}, {\"weight\": 15634, \"source\": 0, \"target\": 8}, {\"weight\": 10494, \"source\": 0, \"target\": 1}, {\"weight\": 6416, \"source\": 0, \"target\": 5}, {\"weight\": 15423, \"source\": 0, \"target\": 7}, {\"weight\": 12886, \"source\": 0, \"target\": 4}, {\"weight\": 8266, \"source\": 0, \"target\": 2}, {\"weight\": 10520, \"source\": 1, \"target\": 6}, {\"weight\": 13706, \"source\": 1, \"target\": 3}, {\"weight\": 11150, \"source\": 1, \"target\": 8}, {\"weight\": 14624, \"source\": 1, \"target\": 5}, {\"weight\": 14825, \"source\": 1, \"target\": 7}, {\"weight\": 14538, \"source\": 1, \"target\": 4}, {\"weight\": 9783, \"source\": 1, \"target\": 2}, {\"weight\": 2523, \"source\": 2, \"target\": 6}, {\"weight\": 11563, \"source\": 2, \"target\": 3}, {\"weight\": 8481, \"source\": 2, \"target\": 8}, {\"weight\": 9110, \"source\": 2, \"target\": 5}, {\"weight\": 17771, \"source\": 2, \"target\": 7}, {\"weight\": 17581, \"source\": 2, \"target\": 4}, {\"weight\": 13089, \"source\": 3, \"target\": 6}, {\"weight\": 3399, \"source\": 3, \"target\": 8}, {\"weight\": 16912, \"source\": 3, \"target\": 5}, {\"weight\": 11399, \"source\": 3, \"target\": 7}, {\"weight\": 13761, \"source\": 3, \"target\": 4}, {\"weight\": 15277, \"source\": 4, \"target\": 6}, {\"weight\": 12983, \"source\": 4, \"target\": 8}, {\"weight\": 9061, \"source\": 4, \"target\": 5}, {\"weight\": 2949, \"source\": 4, \"target\": 7}, {\"weight\": 6727, \"source\": 5, \"target\": 6}, {\"weight\": 13766, \"source\": 5, \"target\": 8}, {\"weight\": 10642, \"source\": 5, \"target\": 7}, {\"weight\": 9975, \"source\": 6, \"target\": 8}, {\"weight\": 16413, \"source\": 6, \"target\": 7}, {\"weight\": 10644, \"source\": 7, \"target\": 8}]}",
"id": 842,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, VCP, LPY, KWN, WGA, HRI, ATH, VLS, YPW\n- Travel distances (in kilometers) between each pair of airports:\nLKG to ATH: 5794\nLKG to KWN: 18726\nLKG to YPW: 15634\nLKG to VCP: 10494\nLKG to HRI: 6416\nLKG to VLS: 15423\nLKG to WGA: 12886\nLKG to LPY: 8266\nVCP to ATH: 10520\nVCP to KWN: 13706\nVCP to YPW: 11150\nVCP to HRI: 14624\nVCP to VLS: 14825\nVCP to WGA: 14538\nVCP to LPY: 9783\nLPY to ATH: 2523\nLPY to KWN: 11563\nLPY to YPW: 8481\nLPY to HRI: 9110\nLPY to VLS: 17771\nLPY to WGA: 17581\nKWN to ATH: 13089\nKWN to YPW: 3399\nKWN to HRI: 16912\nKWN to VLS: 11399\nKWN to WGA: 13761\nWGA to ATH: 15277\nWGA to YPW: 12983\nWGA to HRI: 9061\nWGA to VLS: 2949\nHRI to ATH: 6727\nHRI to YPW: 13766\nHRI to VLS: 10642\nATH to YPW: 9975\nATH to VLS: 16413\nVLS to YPW: 10644\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ADF, VCE, MZH, UAK, KKJ, CIY, DSK, YWG, SMF\n- Travel distances (in kilometers) between each pair of airports:\nADF to VCE: 2325\nADF to YWG: 10399\nADF to KKJ: 10402\nADF to SMF: 11831\nADF to CIY: 2832\nADF to UAK: 6908\nADF to MZH: 1387\nADF to DSK: 4238\nVCE to YWG: 8176\nVCE to KKJ: 10498\nVCE to SMF: 9733\nVCE to CIY: 1493\nVCE to UAK: 4835\nVCE to MZH: 1978\nVCE to DSK: 5461\nMZH to YWG: 10085\nMZH to KKJ: 10574\nMZH to SMF: 11486\nMZH to CIY: 2485\nMZH to UAK: 6563\nMZH to DSK: 4532\nUAK to YWG: 7537\nUAK to KKJ: 13169\nUAK to SMF: 8649\nUAK to CIY: 5748\nUAK to DSK: 9087\nKKJ to YWG: 10242\nKKJ to SMF: 9243\nKKJ to CIY: 11533\nKKJ to DSK: 7198\nCIY to YWG: 9000\nCIY to SMF: 10667\nCIY to DSK: 5968\nDSK to YWG: 12880\nDSK to SMF: 13917\nYWG to SMF: 2719\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 41135,
"style": "rule"
}
|
{
"exact_answer": 41135,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"ADF\", \"id\": 0}, {\"name\": \"VCE\", \"id\": 1}, {\"name\": \"MZH\", \"id\": 2}, {\"name\": \"UAK\", \"id\": 3}, {\"name\": \"KKJ\", \"id\": 4}, {\"name\": \"CIY\", \"id\": 5}, {\"name\": \"DSK\", \"id\": 6}, {\"name\": \"YWG\", \"id\": 7}, {\"name\": \"SMF\", \"id\": 8}], \"links\": [{\"weight\": 2325, \"source\": 0, \"target\": 1}, {\"weight\": 10399, \"source\": 0, \"target\": 7}, {\"weight\": 10402, \"source\": 0, \"target\": 4}, {\"weight\": 11831, \"source\": 0, \"target\": 8}, {\"weight\": 2832, \"source\": 0, \"target\": 5}, {\"weight\": 6908, \"source\": 0, \"target\": 3}, {\"weight\": 1387, \"source\": 0, \"target\": 2}, {\"weight\": 4238, \"source\": 0, \"target\": 6}, {\"weight\": 8176, \"source\": 1, \"target\": 7}, {\"weight\": 10498, \"source\": 1, \"target\": 4}, {\"weight\": 9733, \"source\": 1, \"target\": 8}, {\"weight\": 1493, \"source\": 1, \"target\": 5}, {\"weight\": 4835, \"source\": 1, \"target\": 3}, {\"weight\": 1978, \"source\": 1, \"target\": 2}, {\"weight\": 5461, \"source\": 1, \"target\": 6}, {\"weight\": 10085, \"source\": 2, \"target\": 7}, {\"weight\": 10574, \"source\": 2, \"target\": 4}, {\"weight\": 11486, \"source\": 2, \"target\": 8}, {\"weight\": 2485, \"source\": 2, \"target\": 5}, {\"weight\": 6563, \"source\": 2, \"target\": 3}, {\"weight\": 4532, \"source\": 2, \"target\": 6}, {\"weight\": 7537, \"source\": 3, \"target\": 7}, {\"weight\": 13169, \"source\": 3, \"target\": 4}, {\"weight\": 8649, \"source\": 3, \"target\": 8}, {\"weight\": 5748, \"source\": 3, \"target\": 5}, {\"weight\": 9087, \"source\": 3, \"target\": 6}, {\"weight\": 10242, \"source\": 4, \"target\": 7}, {\"weight\": 9243, \"source\": 4, \"target\": 8}, {\"weight\": 11533, \"source\": 4, \"target\": 5}, {\"weight\": 7198, \"source\": 4, \"target\": 6}, {\"weight\": 9000, \"source\": 5, \"target\": 7}, {\"weight\": 10667, \"source\": 5, \"target\": 8}, {\"weight\": 5968, \"source\": 5, \"target\": 6}, {\"weight\": 12880, \"source\": 6, \"target\": 7}, {\"weight\": 13917, \"source\": 6, \"target\": 8}, {\"weight\": 2719, \"source\": 7, \"target\": 8}]}",
"id": 843,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ADF, VCE, MZH, UAK, KKJ, CIY, DSK, YWG, SMF\n- Travel distances (in kilometers) between each pair of airports:\nADF to VCE: 2325\nADF to YWG: 10399\nADF to KKJ: 10402\nADF to SMF: 11831\nADF to CIY: 2832\nADF to UAK: 6908\nADF to MZH: 1387\nADF to DSK: 4238\nVCE to YWG: 8176\nVCE to KKJ: 10498\nVCE to SMF: 9733\nVCE to CIY: 1493\nVCE to UAK: 4835\nVCE to MZH: 1978\nVCE to DSK: 5461\nMZH to YWG: 10085\nMZH to KKJ: 10574\nMZH to SMF: 11486\nMZH to CIY: 2485\nMZH to UAK: 6563\nMZH to DSK: 4532\nUAK to YWG: 7537\nUAK to KKJ: 13169\nUAK to SMF: 8649\nUAK to CIY: 5748\nUAK to DSK: 9087\nKKJ to YWG: 10242\nKKJ to SMF: 9243\nKKJ to CIY: 11533\nKKJ to DSK: 7198\nCIY to YWG: 9000\nCIY to SMF: 10667\nCIY to DSK: 5968\nDSK to YWG: 12880\nDSK to SMF: 13917\nYWG to SMF: 2719\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: KRO, WWT, YAK, CTM, FSC, BSB, PPW, YKM, YYE\n- Travel distances (in kilometers) between each pair of airports:\nKRO to BSB: 12922\nKRO to CTM: 13402\nKRO to WWT: 13779\nKRO to YYE: 10644\nKRO to FSC: 4548\nKRO to YAK: 12441\nKRO to YKM: 10828\nKRO to PPW: 4247\nWWT to BSB: 13020\nWWT to CTM: 8042\nWWT to YYE: 4393\nWWT to FSC: 12142\nWWT to YAK: 1388\nWWT to YKM: 3281\nWWT to PPW: 10672\nYAK to BSB: 11964\nYAK to CTM: 6709\nYAK to YYE: 3055\nYAK to FSC: 10804\nYAK to YKM: 1943\nYAK to PPW: 9334\nCTM to BSB: 7982\nCTM to YYE: 5941\nCTM to FSC: 11189\nCTM to YKM: 5096\nCTM to PPW: 10054\nFSC to BSB: 8911\nFSC to YYE: 9004\nFSC to YKM: 9191\nFSC to PPW: 2183\nBSB to YYE: 10801\nBSB to YKM: 10351\nBSB to PPW: 9627\nPPW to YYE: 7537\nPPW to YKM: 7721\nYKM to YYE: 1442\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 46040,
"style": "rule"
}
|
{
"exact_answer": 46040,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"KRO\", \"id\": 0}, {\"name\": \"WWT\", \"id\": 1}, {\"name\": \"YAK\", \"id\": 2}, {\"name\": \"CTM\", \"id\": 3}, {\"name\": \"FSC\", \"id\": 4}, {\"name\": \"BSB\", \"id\": 5}, {\"name\": \"PPW\", \"id\": 6}, {\"name\": \"YKM\", \"id\": 7}, {\"name\": \"YYE\", \"id\": 8}], \"links\": [{\"weight\": 12922, \"source\": 0, \"target\": 5}, {\"weight\": 13402, \"source\": 0, \"target\": 3}, {\"weight\": 13779, \"source\": 0, \"target\": 1}, {\"weight\": 10644, \"source\": 0, \"target\": 8}, {\"weight\": 4548, \"source\": 0, \"target\": 4}, {\"weight\": 12441, \"source\": 0, \"target\": 2}, {\"weight\": 10828, \"source\": 0, \"target\": 7}, {\"weight\": 4247, \"source\": 0, \"target\": 6}, {\"weight\": 13020, \"source\": 1, \"target\": 5}, {\"weight\": 8042, \"source\": 1, \"target\": 3}, {\"weight\": 4393, \"source\": 1, \"target\": 8}, {\"weight\": 12142, \"source\": 1, \"target\": 4}, {\"weight\": 1388, \"source\": 1, \"target\": 2}, {\"weight\": 3281, \"source\": 1, \"target\": 7}, {\"weight\": 10672, \"source\": 1, \"target\": 6}, {\"weight\": 11964, \"source\": 2, \"target\": 5}, {\"weight\": 6709, \"source\": 2, \"target\": 3}, {\"weight\": 3055, \"source\": 2, \"target\": 8}, {\"weight\": 10804, \"source\": 2, \"target\": 4}, {\"weight\": 1943, \"source\": 2, \"target\": 7}, {\"weight\": 9334, \"source\": 2, \"target\": 6}, {\"weight\": 7982, \"source\": 3, \"target\": 5}, {\"weight\": 5941, \"source\": 3, \"target\": 8}, {\"weight\": 11189, \"source\": 3, \"target\": 4}, {\"weight\": 5096, \"source\": 3, \"target\": 7}, {\"weight\": 10054, \"source\": 3, \"target\": 6}, {\"weight\": 8911, \"source\": 4, \"target\": 5}, {\"weight\": 9004, \"source\": 4, \"target\": 8}, {\"weight\": 9191, \"source\": 4, \"target\": 7}, {\"weight\": 2183, \"source\": 4, \"target\": 6}, {\"weight\": 10801, \"source\": 5, \"target\": 8}, {\"weight\": 10351, \"source\": 5, \"target\": 7}, {\"weight\": 9627, \"source\": 5, \"target\": 6}, {\"weight\": 7537, \"source\": 6, \"target\": 8}, {\"weight\": 7721, \"source\": 6, \"target\": 7}, {\"weight\": 1442, \"source\": 7, \"target\": 8}]}",
"id": 844,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: KRO, WWT, YAK, CTM, FSC, BSB, PPW, YKM, YYE\n- Travel distances (in kilometers) between each pair of airports:\nKRO to BSB: 12922\nKRO to CTM: 13402\nKRO to WWT: 13779\nKRO to YYE: 10644\nKRO to FSC: 4548\nKRO to YAK: 12441\nKRO to YKM: 10828\nKRO to PPW: 4247\nWWT to BSB: 13020\nWWT to CTM: 8042\nWWT to YYE: 4393\nWWT to FSC: 12142\nWWT to YAK: 1388\nWWT to YKM: 3281\nWWT to PPW: 10672\nYAK to BSB: 11964\nYAK to CTM: 6709\nYAK to YYE: 3055\nYAK to FSC: 10804\nYAK to YKM: 1943\nYAK to PPW: 9334\nCTM to BSB: 7982\nCTM to YYE: 5941\nCTM to FSC: 11189\nCTM to YKM: 5096\nCTM to PPW: 10054\nFSC to BSB: 8911\nFSC to YYE: 9004\nFSC to YKM: 9191\nFSC to PPW: 2183\nBSB to YYE: 10801\nBSB to YKM: 10351\nBSB to PPW: 9627\nPPW to YYE: 7537\nPPW to YKM: 7721\nYKM to YYE: 1442\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: MUA, WTK, KCG, KNU, SDG, YGL, CGR, BOD, SPI\n- Travel distances (in kilometers) between each pair of airports:\nMUA to BOD: 16849\nMUA to CGR: 16658\nMUA to YGL: 15495\nMUA to WTK: 12957\nMUA to SPI: 14310\nMUA to KNU: 10938\nMUA to SDG: 13551\nMUA to KCG: 12750\nWTK to BOD: 11651\nWTK to CGR: 13752\nWTK to YGL: 6947\nWTK to SPI: 5803\nWTK to KNU: 16165\nWTK to SDG: 15652\nWTK to KCG: 1703\nKCG to BOD: 11444\nKCG to CGR: 13545\nKCG to YGL: 6740\nKCG to SPI: 5596\nKCG to KNU: 15958\nKCG to SDG: 15445\nKNU to BOD: 7304\nKNU to CGR: 15673\nKNU to YGL: 13214\nKNU to SPI: 12699\nKNU to SDG: 3409\nSDG to BOD: 4868\nSDG to CGR: 13581\nSDG to YGL: 11101\nSDG to SPI: 11533\nYGL to BOD: 6468\nYGL to CGR: 9219\nYGL to SPI: 2430\nCGR to BOD: 9138\nCGR to SPI: 8134\nBOD to SPI: 6998\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 60258,
"style": "rule"
}
|
{
"exact_answer": 60258,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"MUA\", \"id\": 0}, {\"name\": \"WTK\", \"id\": 1}, {\"name\": \"KCG\", \"id\": 2}, {\"name\": \"KNU\", \"id\": 3}, {\"name\": \"SDG\", \"id\": 4}, {\"name\": \"YGL\", \"id\": 5}, {\"name\": \"CGR\", \"id\": 6}, {\"name\": \"BOD\", \"id\": 7}, {\"name\": \"SPI\", \"id\": 8}], \"links\": [{\"weight\": 16849, \"source\": 0, \"target\": 7}, {\"weight\": 16658, \"source\": 0, \"target\": 6}, {\"weight\": 15495, \"source\": 0, \"target\": 5}, {\"weight\": 12957, \"source\": 0, \"target\": 1}, {\"weight\": 14310, \"source\": 0, \"target\": 8}, {\"weight\": 10938, \"source\": 0, \"target\": 3}, {\"weight\": 13551, \"source\": 0, \"target\": 4}, {\"weight\": 12750, \"source\": 0, \"target\": 2}, {\"weight\": 11651, \"source\": 1, \"target\": 7}, {\"weight\": 13752, \"source\": 1, \"target\": 6}, {\"weight\": 6947, \"source\": 1, \"target\": 5}, {\"weight\": 5803, \"source\": 1, \"target\": 8}, {\"weight\": 16165, \"source\": 1, \"target\": 3}, {\"weight\": 15652, \"source\": 1, \"target\": 4}, {\"weight\": 1703, \"source\": 1, \"target\": 2}, {\"weight\": 11444, \"source\": 2, \"target\": 7}, {\"weight\": 13545, \"source\": 2, \"target\": 6}, {\"weight\": 6740, \"source\": 2, \"target\": 5}, {\"weight\": 5596, \"source\": 2, \"target\": 8}, {\"weight\": 15958, \"source\": 2, \"target\": 3}, {\"weight\": 15445, \"source\": 2, \"target\": 4}, {\"weight\": 7304, \"source\": 3, \"target\": 7}, {\"weight\": 15673, \"source\": 3, \"target\": 6}, {\"weight\": 13214, \"source\": 3, \"target\": 5}, {\"weight\": 12699, \"source\": 3, \"target\": 8}, {\"weight\": 3409, \"source\": 3, \"target\": 4}, {\"weight\": 4868, \"source\": 4, \"target\": 7}, {\"weight\": 13581, \"source\": 4, \"target\": 6}, {\"weight\": 11101, \"source\": 4, \"target\": 5}, {\"weight\": 11533, \"source\": 4, \"target\": 8}, {\"weight\": 6468, \"source\": 5, \"target\": 7}, {\"weight\": 9219, \"source\": 5, \"target\": 6}, {\"weight\": 2430, \"source\": 5, \"target\": 8}, {\"weight\": 9138, \"source\": 6, \"target\": 7}, {\"weight\": 8134, \"source\": 6, \"target\": 8}, {\"weight\": 6998, \"source\": 7, \"target\": 8}]}",
"id": 845,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: MUA, WTK, KCG, KNU, SDG, YGL, CGR, BOD, SPI\n- Travel distances (in kilometers) between each pair of airports:\nMUA to BOD: 16849\nMUA to CGR: 16658\nMUA to YGL: 15495\nMUA to WTK: 12957\nMUA to SPI: 14310\nMUA to KNU: 10938\nMUA to SDG: 13551\nMUA to KCG: 12750\nWTK to BOD: 11651\nWTK to CGR: 13752\nWTK to YGL: 6947\nWTK to SPI: 5803\nWTK to KNU: 16165\nWTK to SDG: 15652\nWTK to KCG: 1703\nKCG to BOD: 11444\nKCG to CGR: 13545\nKCG to YGL: 6740\nKCG to SPI: 5596\nKCG to KNU: 15958\nKCG to SDG: 15445\nKNU to BOD: 7304\nKNU to CGR: 15673\nKNU to YGL: 13214\nKNU to SPI: 12699\nKNU to SDG: 3409\nSDG to BOD: 4868\nSDG to CGR: 13581\nSDG to YGL: 11101\nSDG to SPI: 11533\nYGL to BOD: 6468\nYGL to CGR: 9219\nYGL to SPI: 2430\nCGR to BOD: 9138\nCGR to SPI: 8134\nBOD to SPI: 6998\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ROP, MAZ, PHO, SCN, KZR, YOJ, KPB, PHC, OUL\n- Travel distances (in kilometers) between each pair of airports:\nROP to PHO: 11793\nROP to MAZ: 15820\nROP to YOJ: 11294\nROP to SCN: 11927\nROP to PHC: 15246\nROP to OUL: 10752\nROP to KPB: 11382\nROP to KZR: 11430\nMAZ to PHO: 9147\nMAZ to YOJ: 6368\nMAZ to SCN: 7520\nMAZ to PHC: 10381\nMAZ to OUL: 9215\nMAZ to KPB: 7370\nMAZ to KZR: 9570\nPHO to YOJ: 4973\nPHO to SCN: 11679\nPHO to PHC: 15694\nPHO to OUL: 12098\nPHO to KPB: 2573\nPHO to KZR: 13634\nSCN to YOJ: 7983\nSCN to PHC: 5221\nSCN to OUL: 2054\nSCN to KPB: 9488\nSCN to KZR: 2312\nKZR to YOJ: 9930\nKZR to PHC: 4853\nKZR to OUL: 2925\nKZR to KPB: 11443\nYOJ to PHC: 12658\nYOJ to OUL: 8394\nYOJ to KPB: 2782\nKPB to PHC: 14021\nKPB to OUL: 9907\nPHC to OUL: 6930\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 53868,
"style": "rule"
}
|
{
"exact_answer": 53868,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"ROP\", \"id\": 0}, {\"name\": \"MAZ\", \"id\": 1}, {\"name\": \"PHO\", \"id\": 2}, {\"name\": \"SCN\", \"id\": 3}, {\"name\": \"KZR\", \"id\": 4}, {\"name\": \"YOJ\", \"id\": 5}, {\"name\": \"KPB\", \"id\": 6}, {\"name\": \"PHC\", \"id\": 7}, {\"name\": \"OUL\", \"id\": 8}], \"links\": [{\"weight\": 11793, \"source\": 0, \"target\": 2}, {\"weight\": 15820, \"source\": 0, \"target\": 1}, {\"weight\": 11294, \"source\": 0, \"target\": 5}, {\"weight\": 11927, \"source\": 0, \"target\": 3}, {\"weight\": 15246, \"source\": 0, \"target\": 7}, {\"weight\": 10752, \"source\": 0, \"target\": 8}, {\"weight\": 11382, \"source\": 0, \"target\": 6}, {\"weight\": 11430, \"source\": 0, \"target\": 4}, {\"weight\": 9147, \"source\": 1, \"target\": 2}, {\"weight\": 6368, \"source\": 1, \"target\": 5}, {\"weight\": 7520, \"source\": 1, \"target\": 3}, {\"weight\": 10381, \"source\": 1, \"target\": 7}, {\"weight\": 9215, \"source\": 1, \"target\": 8}, {\"weight\": 7370, \"source\": 1, \"target\": 6}, {\"weight\": 9570, \"source\": 1, \"target\": 4}, {\"weight\": 4973, \"source\": 2, \"target\": 5}, {\"weight\": 11679, \"source\": 2, \"target\": 3}, {\"weight\": 15694, \"source\": 2, \"target\": 7}, {\"weight\": 12098, \"source\": 2, \"target\": 8}, {\"weight\": 2573, \"source\": 2, \"target\": 6}, {\"weight\": 13634, \"source\": 2, \"target\": 4}, {\"weight\": 7983, \"source\": 3, \"target\": 5}, {\"weight\": 5221, \"source\": 3, \"target\": 7}, {\"weight\": 2054, \"source\": 3, \"target\": 8}, {\"weight\": 9488, \"source\": 3, \"target\": 6}, {\"weight\": 2312, \"source\": 3, \"target\": 4}, {\"weight\": 9930, \"source\": 4, \"target\": 5}, {\"weight\": 4853, \"source\": 4, \"target\": 7}, {\"weight\": 2925, \"source\": 4, \"target\": 8}, {\"weight\": 11443, \"source\": 4, \"target\": 6}, {\"weight\": 12658, \"source\": 5, \"target\": 7}, {\"weight\": 8394, \"source\": 5, \"target\": 8}, {\"weight\": 2782, \"source\": 5, \"target\": 6}, {\"weight\": 14021, \"source\": 6, \"target\": 7}, {\"weight\": 9907, \"source\": 6, \"target\": 8}, {\"weight\": 6930, \"source\": 7, \"target\": 8}]}",
"id": 846,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ROP, MAZ, PHO, SCN, KZR, YOJ, KPB, PHC, OUL\n- Travel distances (in kilometers) between each pair of airports:\nROP to PHO: 11793\nROP to MAZ: 15820\nROP to YOJ: 11294\nROP to SCN: 11927\nROP to PHC: 15246\nROP to OUL: 10752\nROP to KPB: 11382\nROP to KZR: 11430\nMAZ to PHO: 9147\nMAZ to YOJ: 6368\nMAZ to SCN: 7520\nMAZ to PHC: 10381\nMAZ to OUL: 9215\nMAZ to KPB: 7370\nMAZ to KZR: 9570\nPHO to YOJ: 4973\nPHO to SCN: 11679\nPHO to PHC: 15694\nPHO to OUL: 12098\nPHO to KPB: 2573\nPHO to KZR: 13634\nSCN to YOJ: 7983\nSCN to PHC: 5221\nSCN to OUL: 2054\nSCN to KPB: 9488\nSCN to KZR: 2312\nKZR to YOJ: 9930\nKZR to PHC: 4853\nKZR to OUL: 2925\nKZR to KPB: 11443\nYOJ to PHC: 12658\nYOJ to OUL: 8394\nYOJ to KPB: 2782\nKPB to PHC: 14021\nKPB to OUL: 9907\nPHC to OUL: 6930\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: RCY, SON, ONQ, SLZ, FNI, IOT, XGR, PAP, ESC\n- Travel distances (in kilometers) between each pair of airports:\nRCY to XGR: 4208\nRCY to PAP: 1302\nRCY to SLZ: 5125\nRCY to ESC: 2781\nRCY to FNI: 8526\nRCY to IOT: 8437\nRCY to SON: 14486\nRCY to ONQ: 9992\nSON to XGR: 14931\nSON to PAP: 15036\nSON to SLZ: 17103\nSON to ESC: 13795\nSON to FNI: 18158\nSON to IOT: 18667\nSON to ONQ: 19314\nONQ to XGR: 8434\nONQ to PAP: 10003\nONQ to SLZ: 10327\nONQ to ESC: 9201\nONQ to FNI: 3684\nONQ to IOT: 6666\nSLZ to XGR: 7984\nSLZ to PAP: 4038\nSLZ to ESC: 7009\nSLZ to FNI: 7514\nSLZ to IOT: 11784\nFNI to XGR: 7273\nFNI to PAP: 8504\nFNI to ESC: 7497\nFNI to IOT: 5073\nIOT to XGR: 8130\nIOT to PAP: 8762\nIOT to ESC: 7246\nXGR to PAP: 4598\nXGR to ESC: 2947\nPAP to ESC: 3366\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 62530,
"style": "rule"
}
|
{
"exact_answer": 62530,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"RCY\", \"id\": 0}, {\"name\": \"SON\", \"id\": 1}, {\"name\": \"ONQ\", \"id\": 2}, {\"name\": \"SLZ\", \"id\": 3}, {\"name\": \"FNI\", \"id\": 4}, {\"name\": \"IOT\", \"id\": 5}, {\"name\": \"XGR\", \"id\": 6}, {\"name\": \"PAP\", \"id\": 7}, {\"name\": \"ESC\", \"id\": 8}], \"links\": [{\"weight\": 4208, \"source\": 0, \"target\": 6}, {\"weight\": 1302, \"source\": 0, \"target\": 7}, {\"weight\": 5125, \"source\": 0, \"target\": 3}, {\"weight\": 2781, \"source\": 0, \"target\": 8}, {\"weight\": 8526, \"source\": 0, \"target\": 4}, {\"weight\": 8437, \"source\": 0, \"target\": 5}, {\"weight\": 14486, \"source\": 0, \"target\": 1}, {\"weight\": 9992, \"source\": 0, \"target\": 2}, {\"weight\": 14931, \"source\": 1, \"target\": 6}, {\"weight\": 15036, \"source\": 1, \"target\": 7}, {\"weight\": 17103, \"source\": 1, \"target\": 3}, {\"weight\": 13795, \"source\": 1, \"target\": 8}, {\"weight\": 18158, \"source\": 1, \"target\": 4}, {\"weight\": 18667, \"source\": 1, \"target\": 5}, {\"weight\": 19314, \"source\": 1, \"target\": 2}, {\"weight\": 8434, \"source\": 2, \"target\": 6}, {\"weight\": 10003, \"source\": 2, \"target\": 7}, {\"weight\": 10327, \"source\": 2, \"target\": 3}, {\"weight\": 9201, \"source\": 2, \"target\": 8}, {\"weight\": 3684, \"source\": 2, \"target\": 4}, {\"weight\": 6666, \"source\": 2, \"target\": 5}, {\"weight\": 7984, \"source\": 3, \"target\": 6}, {\"weight\": 4038, \"source\": 3, \"target\": 7}, {\"weight\": 7009, \"source\": 3, \"target\": 8}, {\"weight\": 7514, \"source\": 3, \"target\": 4}, {\"weight\": 11784, \"source\": 3, \"target\": 5}, {\"weight\": 7273, \"source\": 4, \"target\": 6}, {\"weight\": 8504, \"source\": 4, \"target\": 7}, {\"weight\": 7497, \"source\": 4, \"target\": 8}, {\"weight\": 5073, \"source\": 4, \"target\": 5}, {\"weight\": 8130, \"source\": 5, \"target\": 6}, {\"weight\": 8762, \"source\": 5, \"target\": 7}, {\"weight\": 7246, \"source\": 5, \"target\": 8}, {\"weight\": 4598, \"source\": 6, \"target\": 7}, {\"weight\": 2947, \"source\": 6, \"target\": 8}, {\"weight\": 3366, \"source\": 7, \"target\": 8}]}",
"id": 847,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: RCY, SON, ONQ, SLZ, FNI, IOT, XGR, PAP, ESC\n- Travel distances (in kilometers) between each pair of airports:\nRCY to XGR: 4208\nRCY to PAP: 1302\nRCY to SLZ: 5125\nRCY to ESC: 2781\nRCY to FNI: 8526\nRCY to IOT: 8437\nRCY to SON: 14486\nRCY to ONQ: 9992\nSON to XGR: 14931\nSON to PAP: 15036\nSON to SLZ: 17103\nSON to ESC: 13795\nSON to FNI: 18158\nSON to IOT: 18667\nSON to ONQ: 19314\nONQ to XGR: 8434\nONQ to PAP: 10003\nONQ to SLZ: 10327\nONQ to ESC: 9201\nONQ to FNI: 3684\nONQ to IOT: 6666\nSLZ to XGR: 7984\nSLZ to PAP: 4038\nSLZ to ESC: 7009\nSLZ to FNI: 7514\nSLZ to IOT: 11784\nFNI to XGR: 7273\nFNI to PAP: 8504\nFNI to ESC: 7497\nFNI to IOT: 5073\nIOT to XGR: 8130\nIOT to PAP: 8762\nIOT to ESC: 7246\nXGR to PAP: 4598\nXGR to ESC: 2947\nPAP to ESC: 3366\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BLQ, KNU, YQL, KMQ, YXP, GOU, HUX, TIF, YQZ\n- Travel distances (in kilometers) between each pair of airports:\nBLQ to HUX: 10480\nBLQ to YXP: 7657\nBLQ to YQZ: 9124\nBLQ to YQL: 8342\nBLQ to KNU: 6432\nBLQ to KMQ: 9707\nBLQ to TIF: 3727\nBLQ to GOU: 5285\nKNU to HUX: 15491\nKNU to YXP: 13622\nKNU to YQZ: 13126\nKNU to YQL: 13417\nKNU to KMQ: 5941\nKNU to TIF: 4150\nKNU to GOU: 7409\nYQL to HUX: 4468\nYQL to YXP: 4055\nYQL to YQZ: 1300\nYQL to KMQ: 8495\nYQL to TIF: 11926\nYQL to GOU: 12164\nKMQ to HUX: 12120\nKMQ to YXP: 12178\nKMQ to YQZ: 8295\nKMQ to TIF: 9120\nKMQ to GOU: 12365\nYXP to HUX: 6399\nYXP to YQZ: 4863\nYXP to TIF: 11349\nYXP to GOU: 11457\nGOU to HUX: 13521\nGOU to YQZ: 12970\nGOU to TIF: 4082\nHUX to YQZ: 4876\nHUX to TIF: 14183\nTIF to YQZ: 12715\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 47577,
"style": "rule"
}
|
{
"exact_answer": 47577,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"BLQ\", \"id\": 0}, {\"name\": \"KNU\", \"id\": 1}, {\"name\": \"YQL\", \"id\": 2}, {\"name\": \"KMQ\", \"id\": 3}, {\"name\": \"YXP\", \"id\": 4}, {\"name\": \"GOU\", \"id\": 5}, {\"name\": \"HUX\", \"id\": 6}, {\"name\": \"TIF\", \"id\": 7}, {\"name\": \"YQZ\", \"id\": 8}], \"links\": [{\"weight\": 10480, \"source\": 0, \"target\": 6}, {\"weight\": 7657, \"source\": 0, \"target\": 4}, {\"weight\": 9124, \"source\": 0, \"target\": 8}, {\"weight\": 8342, \"source\": 0, \"target\": 2}, {\"weight\": 6432, \"source\": 0, \"target\": 1}, {\"weight\": 9707, \"source\": 0, \"target\": 3}, {\"weight\": 3727, \"source\": 0, \"target\": 7}, {\"weight\": 5285, \"source\": 0, \"target\": 5}, {\"weight\": 15491, \"source\": 1, \"target\": 6}, {\"weight\": 13622, \"source\": 1, \"target\": 4}, {\"weight\": 13126, \"source\": 1, \"target\": 8}, {\"weight\": 13417, \"source\": 1, \"target\": 2}, {\"weight\": 5941, \"source\": 1, \"target\": 3}, {\"weight\": 4150, \"source\": 1, \"target\": 7}, {\"weight\": 7409, \"source\": 1, \"target\": 5}, {\"weight\": 4468, \"source\": 2, \"target\": 6}, {\"weight\": 4055, \"source\": 2, \"target\": 4}, {\"weight\": 1300, \"source\": 2, \"target\": 8}, {\"weight\": 8495, \"source\": 2, \"target\": 3}, {\"weight\": 11926, \"source\": 2, \"target\": 7}, {\"weight\": 12164, \"source\": 2, \"target\": 5}, {\"weight\": 12120, \"source\": 3, \"target\": 6}, {\"weight\": 12178, \"source\": 3, \"target\": 4}, {\"weight\": 8295, \"source\": 3, \"target\": 8}, {\"weight\": 9120, \"source\": 3, \"target\": 7}, {\"weight\": 12365, \"source\": 3, \"target\": 5}, {\"weight\": 6399, \"source\": 4, \"target\": 6}, {\"weight\": 4863, \"source\": 4, \"target\": 8}, {\"weight\": 11349, \"source\": 4, \"target\": 7}, {\"weight\": 11457, \"source\": 4, \"target\": 5}, {\"weight\": 13521, \"source\": 5, \"target\": 6}, {\"weight\": 12970, \"source\": 5, \"target\": 8}, {\"weight\": 4082, \"source\": 5, \"target\": 7}, {\"weight\": 4876, \"source\": 6, \"target\": 8}, {\"weight\": 14183, \"source\": 6, \"target\": 7}, {\"weight\": 12715, \"source\": 7, \"target\": 8}]}",
"id": 848,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BLQ, KNU, YQL, KMQ, YXP, GOU, HUX, TIF, YQZ\n- Travel distances (in kilometers) between each pair of airports:\nBLQ to HUX: 10480\nBLQ to YXP: 7657\nBLQ to YQZ: 9124\nBLQ to YQL: 8342\nBLQ to KNU: 6432\nBLQ to KMQ: 9707\nBLQ to TIF: 3727\nBLQ to GOU: 5285\nKNU to HUX: 15491\nKNU to YXP: 13622\nKNU to YQZ: 13126\nKNU to YQL: 13417\nKNU to KMQ: 5941\nKNU to TIF: 4150\nKNU to GOU: 7409\nYQL to HUX: 4468\nYQL to YXP: 4055\nYQL to YQZ: 1300\nYQL to KMQ: 8495\nYQL to TIF: 11926\nYQL to GOU: 12164\nKMQ to HUX: 12120\nKMQ to YXP: 12178\nKMQ to YQZ: 8295\nKMQ to TIF: 9120\nKMQ to GOU: 12365\nYXP to HUX: 6399\nYXP to YQZ: 4863\nYXP to TIF: 11349\nYXP to GOU: 11457\nGOU to HUX: 13521\nGOU to YQZ: 12970\nGOU to TIF: 4082\nHUX to YQZ: 4876\nHUX to TIF: 14183\nTIF to YQZ: 12715\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: VAA, RSD, OLC, CEK, SLI, MLB, NDJ, MAN, INZ\n- Travel distances (in kilometers) between each pair of airports:\nVAA to CEK: 2555\nVAA to MAN: 1844\nVAA to NDJ: 5973\nVAA to MLB: 8373\nVAA to OLC: 11653\nVAA to INZ: 4245\nVAA to SLI: 9122\nVAA to RSD: 8590\nRSD to CEK: 10671\nRSD to MAN: 7212\nRSD to NDJ: 11515\nRSD to MLB: 2013\nRSD to OLC: 5139\nRSD to INZ: 9262\nRSD to SLI: 13865\nOLC to CEK: 13809\nOLC to MAN: 9809\nOLC to NDJ: 10247\nOLC to MLB: 6537\nOLC to INZ: 10463\nOLC to SLI: 12257\nCEK to MAN: 4000\nCEK to NDJ: 6460\nCEK to MLB: 10454\nCEK to INZ: 5875\nCEK to SLI: 8896\nSLI to MAN: 8670\nSLI to NDJ: 4220\nSLI to MLB: 13937\nSLI to INZ: 8232\nMLB to MAN: 7022\nMLB to NDJ: 11273\nMLB to INZ: 9157\nNDJ to MAN: 4847\nNDJ to INZ: 5035\nMAN to INZ: 2951\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 45960,
"style": "rule"
}
|
{
"exact_answer": 45960,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"VAA\", \"id\": 0}, {\"name\": \"RSD\", \"id\": 1}, {\"name\": \"OLC\", \"id\": 2}, {\"name\": \"CEK\", \"id\": 3}, {\"name\": \"SLI\", \"id\": 4}, {\"name\": \"MLB\", \"id\": 5}, {\"name\": \"NDJ\", \"id\": 6}, {\"name\": \"MAN\", \"id\": 7}, {\"name\": \"INZ\", \"id\": 8}], \"links\": [{\"weight\": 2555, \"source\": 0, \"target\": 3}, {\"weight\": 1844, \"source\": 0, \"target\": 7}, {\"weight\": 5973, \"source\": 0, \"target\": 6}, {\"weight\": 8373, \"source\": 0, \"target\": 5}, {\"weight\": 11653, \"source\": 0, \"target\": 2}, {\"weight\": 4245, \"source\": 0, \"target\": 8}, {\"weight\": 9122, \"source\": 0, \"target\": 4}, {\"weight\": 8590, \"source\": 0, \"target\": 1}, {\"weight\": 10671, \"source\": 1, \"target\": 3}, {\"weight\": 7212, \"source\": 1, \"target\": 7}, {\"weight\": 11515, \"source\": 1, \"target\": 6}, {\"weight\": 2013, \"source\": 1, \"target\": 5}, {\"weight\": 5139, \"source\": 1, \"target\": 2}, {\"weight\": 9262, \"source\": 1, \"target\": 8}, {\"weight\": 13865, \"source\": 1, \"target\": 4}, {\"weight\": 13809, \"source\": 2, \"target\": 3}, {\"weight\": 9809, \"source\": 2, \"target\": 7}, {\"weight\": 10247, \"source\": 2, \"target\": 6}, {\"weight\": 6537, \"source\": 2, \"target\": 5}, {\"weight\": 10463, \"source\": 2, \"target\": 8}, {\"weight\": 12257, \"source\": 2, \"target\": 4}, {\"weight\": 4000, \"source\": 3, \"target\": 7}, {\"weight\": 6460, \"source\": 3, \"target\": 6}, {\"weight\": 10454, \"source\": 3, \"target\": 5}, {\"weight\": 5875, \"source\": 3, \"target\": 8}, {\"weight\": 8896, \"source\": 3, \"target\": 4}, {\"weight\": 8670, \"source\": 4, \"target\": 7}, {\"weight\": 4220, \"source\": 4, \"target\": 6}, {\"weight\": 13937, \"source\": 4, \"target\": 5}, {\"weight\": 8232, \"source\": 4, \"target\": 8}, {\"weight\": 7022, \"source\": 5, \"target\": 7}, {\"weight\": 11273, \"source\": 5, \"target\": 6}, {\"weight\": 9157, \"source\": 5, \"target\": 8}, {\"weight\": 4847, \"source\": 6, \"target\": 7}, {\"weight\": 5035, \"source\": 6, \"target\": 8}, {\"weight\": 2951, \"source\": 7, \"target\": 8}]}",
"id": 849,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: VAA, RSD, OLC, CEK, SLI, MLB, NDJ, MAN, INZ\n- Travel distances (in kilometers) between each pair of airports:\nVAA to CEK: 2555\nVAA to MAN: 1844\nVAA to NDJ: 5973\nVAA to MLB: 8373\nVAA to OLC: 11653\nVAA to INZ: 4245\nVAA to SLI: 9122\nVAA to RSD: 8590\nRSD to CEK: 10671\nRSD to MAN: 7212\nRSD to NDJ: 11515\nRSD to MLB: 2013\nRSD to OLC: 5139\nRSD to INZ: 9262\nRSD to SLI: 13865\nOLC to CEK: 13809\nOLC to MAN: 9809\nOLC to NDJ: 10247\nOLC to MLB: 6537\nOLC to INZ: 10463\nOLC to SLI: 12257\nCEK to MAN: 4000\nCEK to NDJ: 6460\nCEK to MLB: 10454\nCEK to INZ: 5875\nCEK to SLI: 8896\nSLI to MAN: 8670\nSLI to NDJ: 4220\nSLI to MLB: 13937\nSLI to INZ: 8232\nMLB to MAN: 7022\nMLB to NDJ: 11273\nMLB to INZ: 9157\nNDJ to MAN: 4847\nNDJ to INZ: 5035\nMAN to INZ: 2951\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: DOM, DXB, YHI, KHG, BBK, YGW, BSO, JHG, SLY\n- Travel distances (in kilometers) between each pair of airports:\nDOM to BSO: 17403\nDOM to YGW: 4651\nDOM to DXB: 12080\nDOM to JHG: 16061\nDOM to KHG: 14049\nDOM to YHI: 7626\nDOM to BBK: 13050\nDOM to SLY: 11245\nDXB to BSO: 7573\nDXB to YGW: 11711\nDXB to JHG: 5089\nDXB to KHG: 4674\nDXB to YHI: 13801\nDXB to BBK: 6671\nDXB to SLY: 4663\nYHI to BSO: 13865\nYHI to YGW: 4527\nYHI to JHG: 13764\nYHI to KHG: 14754\nYHI to BBK: 17419\nYHI to SLY: 12214\nKHG to BSO: 5879\nKHG to YGW: 13517\nKHG to JHG: 3483\nKHG to BBK: 11239\nKHG to SLY: 3890\nBBK to BSO: 12645\nBBK to YGW: 14419\nBBK to JHG: 10951\nBBK to SLY: 11161\nYGW to BSO: 14422\nYGW to JHG: 14427\nYGW to SLY: 10714\nBSO to JHG: 3119\nBSO to SLY: 7819\nJHG to SLY: 5903\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 57919,
"style": "rule"
}
|
{
"exact_answer": 57919,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"DOM\", \"id\": 0}, {\"name\": \"DXB\", \"id\": 1}, {\"name\": \"YHI\", \"id\": 2}, {\"name\": \"KHG\", \"id\": 3}, {\"name\": \"BBK\", \"id\": 4}, {\"name\": \"YGW\", \"id\": 5}, {\"name\": \"BSO\", \"id\": 6}, {\"name\": \"JHG\", \"id\": 7}, {\"name\": \"SLY\", \"id\": 8}], \"links\": [{\"weight\": 17403, \"source\": 0, \"target\": 6}, {\"weight\": 4651, \"source\": 0, \"target\": 5}, {\"weight\": 12080, \"source\": 0, \"target\": 1}, {\"weight\": 16061, \"source\": 0, \"target\": 7}, {\"weight\": 14049, \"source\": 0, \"target\": 3}, {\"weight\": 7626, \"source\": 0, \"target\": 2}, {\"weight\": 13050, \"source\": 0, \"target\": 4}, {\"weight\": 11245, \"source\": 0, \"target\": 8}, {\"weight\": 7573, \"source\": 1, \"target\": 6}, {\"weight\": 11711, \"source\": 1, \"target\": 5}, {\"weight\": 5089, \"source\": 1, \"target\": 7}, {\"weight\": 4674, \"source\": 1, \"target\": 3}, {\"weight\": 13801, \"source\": 1, \"target\": 2}, {\"weight\": 6671, \"source\": 1, \"target\": 4}, {\"weight\": 4663, \"source\": 1, \"target\": 8}, {\"weight\": 13865, \"source\": 2, \"target\": 6}, {\"weight\": 4527, \"source\": 2, \"target\": 5}, {\"weight\": 13764, \"source\": 2, \"target\": 7}, {\"weight\": 14754, \"source\": 2, \"target\": 3}, {\"weight\": 17419, \"source\": 2, \"target\": 4}, {\"weight\": 12214, \"source\": 2, \"target\": 8}, {\"weight\": 5879, \"source\": 3, \"target\": 6}, {\"weight\": 13517, \"source\": 3, \"target\": 5}, {\"weight\": 3483, \"source\": 3, \"target\": 7}, {\"weight\": 11239, \"source\": 3, \"target\": 4}, {\"weight\": 3890, \"source\": 3, \"target\": 8}, {\"weight\": 12645, \"source\": 4, \"target\": 6}, {\"weight\": 14419, \"source\": 4, \"target\": 5}, {\"weight\": 10951, \"source\": 4, \"target\": 7}, {\"weight\": 11161, \"source\": 4, \"target\": 8}, {\"weight\": 14422, \"source\": 5, \"target\": 6}, {\"weight\": 14427, \"source\": 5, \"target\": 7}, {\"weight\": 10714, \"source\": 5, \"target\": 8}, {\"weight\": 3119, \"source\": 6, \"target\": 7}, {\"weight\": 7819, \"source\": 6, \"target\": 8}, {\"weight\": 5903, \"source\": 7, \"target\": 8}]}",
"id": 850,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: DOM, DXB, YHI, KHG, BBK, YGW, BSO, JHG, SLY\n- Travel distances (in kilometers) between each pair of airports:\nDOM to BSO: 17403\nDOM to YGW: 4651\nDOM to DXB: 12080\nDOM to JHG: 16061\nDOM to KHG: 14049\nDOM to YHI: 7626\nDOM to BBK: 13050\nDOM to SLY: 11245\nDXB to BSO: 7573\nDXB to YGW: 11711\nDXB to JHG: 5089\nDXB to KHG: 4674\nDXB to YHI: 13801\nDXB to BBK: 6671\nDXB to SLY: 4663\nYHI to BSO: 13865\nYHI to YGW: 4527\nYHI to JHG: 13764\nYHI to KHG: 14754\nYHI to BBK: 17419\nYHI to SLY: 12214\nKHG to BSO: 5879\nKHG to YGW: 13517\nKHG to JHG: 3483\nKHG to BBK: 11239\nKHG to SLY: 3890\nBBK to BSO: 12645\nBBK to YGW: 14419\nBBK to JHG: 10951\nBBK to SLY: 11161\nYGW to BSO: 14422\nYGW to JHG: 14427\nYGW to SLY: 10714\nBSO to JHG: 3119\nBSO to SLY: 7819\nJHG to SLY: 5903\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CMG, PAC, ARC, GRB, BTR, PBC, GRV, IXJ, SHX\n- Travel distances (in kilometers) between each pair of airports:\nCMG to IXJ: 15884\nCMG to SHX: 13783\nCMG to PAC: 6408\nCMG to GRV: 13883\nCMG to ARC: 13954\nCMG to BTR: 8369\nCMG to PBC: 8117\nCMG to GRB: 8896\nPAC to IXJ: 15903\nPAC to SHX: 8908\nPAC to GRV: 13065\nPAC to ARC: 8925\nPAC to BTR: 3435\nPAC to PBC: 3122\nPAC to GRB: 4377\nARC to IXJ: 15878\nARC to SHX: 1474\nARC to GRV: 13530\nARC to BTR: 6166\nARC to PBC: 6868\nARC to GRB: 5287\nGRB to IXJ: 12647\nGRB to SHX: 5079\nGRB to GRV: 9809\nGRB to BTR: 1967\nGRB to PBC: 3011\nBTR to IXJ: 13745\nBTR to SHX: 6143\nBTR to GRV: 10907\nBTR to PBC: 1649\nPBC to IXJ: 15105\nPBC to SHX: 6925\nPBC to GRV: 12228\nGRV to IXJ: 5785\nGRV to SHX: 13604\nIXJ to SHX: 15952\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 54898,
"style": "rule"
}
|
{
"exact_answer": 54898,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"CMG\", \"id\": 0}, {\"name\": \"PAC\", \"id\": 1}, {\"name\": \"ARC\", \"id\": 2}, {\"name\": \"GRB\", \"id\": 3}, {\"name\": \"BTR\", \"id\": 4}, {\"name\": \"PBC\", \"id\": 5}, {\"name\": \"GRV\", \"id\": 6}, {\"name\": \"IXJ\", \"id\": 7}, {\"name\": \"SHX\", \"id\": 8}], \"links\": [{\"weight\": 15884, \"source\": 0, \"target\": 7}, {\"weight\": 13783, \"source\": 0, \"target\": 8}, {\"weight\": 6408, \"source\": 0, \"target\": 1}, {\"weight\": 13883, \"source\": 0, \"target\": 6}, {\"weight\": 13954, \"source\": 0, \"target\": 2}, {\"weight\": 8369, \"source\": 0, \"target\": 4}, {\"weight\": 8117, \"source\": 0, \"target\": 5}, {\"weight\": 8896, \"source\": 0, \"target\": 3}, {\"weight\": 15903, \"source\": 1, \"target\": 7}, {\"weight\": 8908, \"source\": 1, \"target\": 8}, {\"weight\": 13065, \"source\": 1, \"target\": 6}, {\"weight\": 8925, \"source\": 1, \"target\": 2}, {\"weight\": 3435, \"source\": 1, \"target\": 4}, {\"weight\": 3122, \"source\": 1, \"target\": 5}, {\"weight\": 4377, \"source\": 1, \"target\": 3}, {\"weight\": 15878, \"source\": 2, \"target\": 7}, {\"weight\": 1474, \"source\": 2, \"target\": 8}, {\"weight\": 13530, \"source\": 2, \"target\": 6}, {\"weight\": 6166, \"source\": 2, \"target\": 4}, {\"weight\": 6868, \"source\": 2, \"target\": 5}, {\"weight\": 5287, \"source\": 2, \"target\": 3}, {\"weight\": 12647, \"source\": 3, \"target\": 7}, {\"weight\": 5079, \"source\": 3, \"target\": 8}, {\"weight\": 9809, \"source\": 3, \"target\": 6}, {\"weight\": 1967, \"source\": 3, \"target\": 4}, {\"weight\": 3011, \"source\": 3, \"target\": 5}, {\"weight\": 13745, \"source\": 4, \"target\": 7}, {\"weight\": 6143, \"source\": 4, \"target\": 8}, {\"weight\": 10907, \"source\": 4, \"target\": 6}, {\"weight\": 1649, \"source\": 4, \"target\": 5}, {\"weight\": 15105, \"source\": 5, \"target\": 7}, {\"weight\": 6925, \"source\": 5, \"target\": 8}, {\"weight\": 12228, \"source\": 5, \"target\": 6}, {\"weight\": 5785, \"source\": 6, \"target\": 7}, {\"weight\": 13604, \"source\": 6, \"target\": 8}, {\"weight\": 15952, \"source\": 7, \"target\": 8}]}",
"id": 851,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CMG, PAC, ARC, GRB, BTR, PBC, GRV, IXJ, SHX\n- Travel distances (in kilometers) between each pair of airports:\nCMG to IXJ: 15884\nCMG to SHX: 13783\nCMG to PAC: 6408\nCMG to GRV: 13883\nCMG to ARC: 13954\nCMG to BTR: 8369\nCMG to PBC: 8117\nCMG to GRB: 8896\nPAC to IXJ: 15903\nPAC to SHX: 8908\nPAC to GRV: 13065\nPAC to ARC: 8925\nPAC to BTR: 3435\nPAC to PBC: 3122\nPAC to GRB: 4377\nARC to IXJ: 15878\nARC to SHX: 1474\nARC to GRV: 13530\nARC to BTR: 6166\nARC to PBC: 6868\nARC to GRB: 5287\nGRB to IXJ: 12647\nGRB to SHX: 5079\nGRB to GRV: 9809\nGRB to BTR: 1967\nGRB to PBC: 3011\nBTR to IXJ: 13745\nBTR to SHX: 6143\nBTR to GRV: 10907\nBTR to PBC: 1649\nPBC to IXJ: 15105\nPBC to SHX: 6925\nPBC to GRV: 12228\nGRV to IXJ: 5785\nGRV to SHX: 13604\nIXJ to SHX: 15952\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BUQ, CGI, AES, KTB, SUG, GAL, YNG, KSM, NAQ\n- Travel distances (in kilometers) between each pair of airports:\nBUQ to SUG: 11934\nBUQ to KTB: 17557\nBUQ to KSM: 19423\nBUQ to GAL: 19292\nBUQ to CGI: 14637\nBUQ to AES: 9705\nBUQ to YNG: 14790\nBUQ to NAQ: 13636\nCGI to SUG: 13910\nCGI to KTB: 4082\nCGI to KSM: 5654\nCGI to GAL: 5793\nCGI to AES: 7148\nCGI to YNG: 2214\nCGI to NAQ: 8440\nAES to SUG: 10806\nAES to KTB: 8711\nAES to KSM: 10589\nAES to GAL: 10446\nAES to YNG: 7627\nAES to NAQ: 4782\nKTB to SUG: 12264\nKTB to KSM: 2062\nKTB to GAL: 2201\nKTB to YNG: 5922\nKTB to NAQ: 10003\nSUG to KSM: 14142\nSUG to GAL: 13999\nSUG to YNG: 15595\nSUG to NAQ: 15151\nGAL to KSM: 1555\nGAL to YNG: 7483\nGAL to NAQ: 11738\nYNG to KSM: 7344\nYNG to NAQ: 8954\nKSM to NAQ: 11881\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 59263,
"style": "rule"
}
|
{
"exact_answer": 59263,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"BUQ\", \"id\": 0}, {\"name\": \"CGI\", \"id\": 1}, {\"name\": \"AES\", \"id\": 2}, {\"name\": \"KTB\", \"id\": 3}, {\"name\": \"SUG\", \"id\": 4}, {\"name\": \"GAL\", \"id\": 5}, {\"name\": \"YNG\", \"id\": 6}, {\"name\": \"KSM\", \"id\": 7}, {\"name\": \"NAQ\", \"id\": 8}], \"links\": [{\"weight\": 11934, \"source\": 0, \"target\": 4}, {\"weight\": 17557, \"source\": 0, \"target\": 3}, {\"weight\": 19423, \"source\": 0, \"target\": 7}, {\"weight\": 19292, \"source\": 0, \"target\": 5}, {\"weight\": 14637, \"source\": 0, \"target\": 1}, {\"weight\": 9705, \"source\": 0, \"target\": 2}, {\"weight\": 14790, \"source\": 0, \"target\": 6}, {\"weight\": 13636, \"source\": 0, \"target\": 8}, {\"weight\": 13910, \"source\": 1, \"target\": 4}, {\"weight\": 4082, \"source\": 1, \"target\": 3}, {\"weight\": 5654, \"source\": 1, \"target\": 7}, {\"weight\": 5793, \"source\": 1, \"target\": 5}, {\"weight\": 7148, \"source\": 1, \"target\": 2}, {\"weight\": 2214, \"source\": 1, \"target\": 6}, {\"weight\": 8440, \"source\": 1, \"target\": 8}, {\"weight\": 10806, \"source\": 2, \"target\": 4}, {\"weight\": 8711, \"source\": 2, \"target\": 3}, {\"weight\": 10589, \"source\": 2, \"target\": 7}, {\"weight\": 10446, \"source\": 2, \"target\": 5}, {\"weight\": 7627, \"source\": 2, \"target\": 6}, {\"weight\": 4782, \"source\": 2, \"target\": 8}, {\"weight\": 12264, \"source\": 3, \"target\": 4}, {\"weight\": 2062, \"source\": 3, \"target\": 7}, {\"weight\": 2201, \"source\": 3, \"target\": 5}, {\"weight\": 5922, \"source\": 3, \"target\": 6}, {\"weight\": 10003, \"source\": 3, \"target\": 8}, {\"weight\": 14142, \"source\": 4, \"target\": 7}, {\"weight\": 13999, \"source\": 4, \"target\": 5}, {\"weight\": 15595, \"source\": 4, \"target\": 6}, {\"weight\": 15151, \"source\": 4, \"target\": 8}, {\"weight\": 1555, \"source\": 5, \"target\": 7}, {\"weight\": 7483, \"source\": 5, \"target\": 6}, {\"weight\": 11738, \"source\": 5, \"target\": 8}, {\"weight\": 7344, \"source\": 6, \"target\": 7}, {\"weight\": 8954, \"source\": 6, \"target\": 8}, {\"weight\": 11881, \"source\": 7, \"target\": 8}]}",
"id": 852,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BUQ, CGI, AES, KTB, SUG, GAL, YNG, KSM, NAQ\n- Travel distances (in kilometers) between each pair of airports:\nBUQ to SUG: 11934\nBUQ to KTB: 17557\nBUQ to KSM: 19423\nBUQ to GAL: 19292\nBUQ to CGI: 14637\nBUQ to AES: 9705\nBUQ to YNG: 14790\nBUQ to NAQ: 13636\nCGI to SUG: 13910\nCGI to KTB: 4082\nCGI to KSM: 5654\nCGI to GAL: 5793\nCGI to AES: 7148\nCGI to YNG: 2214\nCGI to NAQ: 8440\nAES to SUG: 10806\nAES to KTB: 8711\nAES to KSM: 10589\nAES to GAL: 10446\nAES to YNG: 7627\nAES to NAQ: 4782\nKTB to SUG: 12264\nKTB to KSM: 2062\nKTB to GAL: 2201\nKTB to YNG: 5922\nKTB to NAQ: 10003\nSUG to KSM: 14142\nSUG to GAL: 13999\nSUG to YNG: 15595\nSUG to NAQ: 15151\nGAL to KSM: 1555\nGAL to YNG: 7483\nGAL to NAQ: 11738\nYNG to KSM: 7344\nYNG to NAQ: 8954\nKSM to NAQ: 11881\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, CLY, BIQ, NTE, JGS, FTE, MYR, PRN, ASM\n- Travel distances (in kilometers) between each pair of airports:\nGPI to PRN: 10665\nGPI to CLY: 9579\nGPI to NTE: 8904\nGPI to BIQ: 9769\nGPI to MYR: 3632\nGPI to FTE: 7121\nGPI to JGS: 16673\nGPI to ASM: 13575\nCLY to NTE: 967\nCLY to PRN: 1646\nCLY to BIQ: 852\nCLY to MYR: 7498\nCLY to FTE: 13175\nCLY to JGS: 9448\nCLY to ASM: 4608\nBIQ to PRN: 1927\nBIQ to NTE: 1001\nBIQ to MYR: 7148\nBIQ to FTE: 13411\nBIQ to JGS: 9931\nBIQ to ASM: 5115\nNTE to PRN: 1848\nNTE to MYR: 6759\nNTE to FTE: 12783\nNTE to JGS: 9671\nNTE to ASM: 5216\nJGS to PRN: 8493\nJGS to MYR: 13145\nJGS to FTE: 21853\nJGS to ASM: 8043\nFTE to PRN: 14267\nFTE to MYR: 10039\nFTE to ASM: 14103\nMYR to PRN: 8316\nMYR to ASM: 11724\nPRN to ASM: 3707\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 51650,
"style": "rule"
}
|
{
"exact_answer": 51650,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"GPI\", \"id\": 0}, {\"name\": \"CLY\", \"id\": 1}, {\"name\": \"BIQ\", \"id\": 2}, {\"name\": \"NTE\", \"id\": 3}, {\"name\": \"JGS\", \"id\": 4}, {\"name\": \"FTE\", \"id\": 5}, {\"name\": \"MYR\", \"id\": 6}, {\"name\": \"PRN\", \"id\": 7}, {\"name\": \"ASM\", \"id\": 8}], \"links\": [{\"weight\": 10665, \"source\": 0, \"target\": 7}, {\"weight\": 9579, \"source\": 0, \"target\": 1}, {\"weight\": 8904, \"source\": 0, \"target\": 3}, {\"weight\": 9769, \"source\": 0, \"target\": 2}, {\"weight\": 3632, \"source\": 0, \"target\": 6}, {\"weight\": 7121, \"source\": 0, \"target\": 5}, {\"weight\": 16673, \"source\": 0, \"target\": 4}, {\"weight\": 13575, \"source\": 0, \"target\": 8}, {\"weight\": 967, \"source\": 1, \"target\": 3}, {\"weight\": 1646, \"source\": 1, \"target\": 7}, {\"weight\": 852, \"source\": 1, \"target\": 2}, {\"weight\": 7498, \"source\": 1, \"target\": 6}, {\"weight\": 13175, \"source\": 1, \"target\": 5}, {\"weight\": 9448, \"source\": 1, \"target\": 4}, {\"weight\": 4608, \"source\": 1, \"target\": 8}, {\"weight\": 1927, \"source\": 2, \"target\": 7}, {\"weight\": 1001, \"source\": 2, \"target\": 3}, {\"weight\": 7148, \"source\": 2, \"target\": 6}, {\"weight\": 13411, \"source\": 2, \"target\": 5}, {\"weight\": 9931, \"source\": 2, \"target\": 4}, {\"weight\": 5115, \"source\": 2, \"target\": 8}, {\"weight\": 1848, \"source\": 3, \"target\": 7}, {\"weight\": 6759, \"source\": 3, \"target\": 6}, {\"weight\": 12783, \"source\": 3, \"target\": 5}, {\"weight\": 9671, \"source\": 3, \"target\": 4}, {\"weight\": 5216, \"source\": 3, \"target\": 8}, {\"weight\": 8493, \"source\": 4, \"target\": 7}, {\"weight\": 13145, \"source\": 4, \"target\": 6}, {\"weight\": 21853, \"source\": 4, \"target\": 5}, {\"weight\": 8043, \"source\": 4, \"target\": 8}, {\"weight\": 14267, \"source\": 5, \"target\": 7}, {\"weight\": 10039, \"source\": 5, \"target\": 6}, {\"weight\": 14103, \"source\": 5, \"target\": 8}, {\"weight\": 8316, \"source\": 6, \"target\": 7}, {\"weight\": 11724, \"source\": 6, \"target\": 8}, {\"weight\": 3707, \"source\": 7, \"target\": 8}]}",
"id": 853,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, CLY, BIQ, NTE, JGS, FTE, MYR, PRN, ASM\n- Travel distances (in kilometers) between each pair of airports:\nGPI to PRN: 10665\nGPI to CLY: 9579\nGPI to NTE: 8904\nGPI to BIQ: 9769\nGPI to MYR: 3632\nGPI to FTE: 7121\nGPI to JGS: 16673\nGPI to ASM: 13575\nCLY to NTE: 967\nCLY to PRN: 1646\nCLY to BIQ: 852\nCLY to MYR: 7498\nCLY to FTE: 13175\nCLY to JGS: 9448\nCLY to ASM: 4608\nBIQ to PRN: 1927\nBIQ to NTE: 1001\nBIQ to MYR: 7148\nBIQ to FTE: 13411\nBIQ to JGS: 9931\nBIQ to ASM: 5115\nNTE to PRN: 1848\nNTE to MYR: 6759\nNTE to FTE: 12783\nNTE to JGS: 9671\nNTE to ASM: 5216\nJGS to PRN: 8493\nJGS to MYR: 13145\nJGS to FTE: 21853\nJGS to ASM: 8043\nFTE to PRN: 14267\nFTE to MYR: 10039\nFTE to ASM: 14103\nMYR to PRN: 8316\nMYR to ASM: 11724\nPRN to ASM: 3707\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PGD, KTN, MID, MME, ISU, YDQ, UEO, MYJ, ALW\n- Travel distances (in kilometers) between each pair of airports:\nPGD to KTN: 5327\nPGD to MID: 2842\nPGD to YDQ: 5135\nPGD to ALW: 4576\nPGD to MME: 7588\nPGD to ISU: 11221\nPGD to MYJ: 12519\nPGD to UEO: 13492\nKTN to MID: 5261\nKTN to YDQ: 2051\nKTN to ALW: 1433\nKTN to MME: 9018\nKTN to ISU: 12370\nKTN to MYJ: 9477\nKTN to UEO: 10451\nMID to YDQ: 5080\nMID to ALW: 4510\nMID to MME: 8619\nMID to ISU: 12214\nMID to MYJ: 12554\nMID to UEO: 13528\nMME to YDQ: 8280\nMME to ALW: 8267\nMME to ISU: 4169\nMME to MYJ: 9627\nMME to UEO: 10139\nISU to YDQ: 11632\nISU to ALW: 11619\nISU to MYJ: 7769\nISU to UEO: 7855\nYDQ to ALW: 1300\nYDQ to MYJ: 8987\nYDQ to UEO: 9961\nUEO to ALW: 9700\nUEO to MYJ: 1071\nMYJ to ALW: 8726\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 40506,
"style": "rule"
}
|
{
"exact_answer": 40506,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"PGD\", \"id\": 0}, {\"name\": \"KTN\", \"id\": 1}, {\"name\": \"MID\", \"id\": 2}, {\"name\": \"MME\", \"id\": 3}, {\"name\": \"ISU\", \"id\": 4}, {\"name\": \"YDQ\", \"id\": 5}, {\"name\": \"UEO\", \"id\": 6}, {\"name\": \"MYJ\", \"id\": 7}, {\"name\": \"ALW\", \"id\": 8}], \"links\": [{\"weight\": 5327, \"source\": 0, \"target\": 1}, {\"weight\": 2842, \"source\": 0, \"target\": 2}, {\"weight\": 5135, \"source\": 0, \"target\": 5}, {\"weight\": 4576, \"source\": 0, \"target\": 8}, {\"weight\": 7588, \"source\": 0, \"target\": 3}, {\"weight\": 11221, \"source\": 0, \"target\": 4}, {\"weight\": 12519, \"source\": 0, \"target\": 7}, {\"weight\": 13492, \"source\": 0, \"target\": 6}, {\"weight\": 5261, \"source\": 1, \"target\": 2}, {\"weight\": 2051, \"source\": 1, \"target\": 5}, {\"weight\": 1433, \"source\": 1, \"target\": 8}, {\"weight\": 9018, \"source\": 1, \"target\": 3}, {\"weight\": 12370, \"source\": 1, \"target\": 4}, {\"weight\": 9477, \"source\": 1, \"target\": 7}, {\"weight\": 10451, \"source\": 1, \"target\": 6}, {\"weight\": 5080, \"source\": 2, \"target\": 5}, {\"weight\": 4510, \"source\": 2, \"target\": 8}, {\"weight\": 8619, \"source\": 2, \"target\": 3}, {\"weight\": 12214, \"source\": 2, \"target\": 4}, {\"weight\": 12554, \"source\": 2, \"target\": 7}, {\"weight\": 13528, \"source\": 2, \"target\": 6}, {\"weight\": 8280, \"source\": 3, \"target\": 5}, {\"weight\": 8267, \"source\": 3, \"target\": 8}, {\"weight\": 4169, \"source\": 3, \"target\": 4}, {\"weight\": 9627, \"source\": 3, \"target\": 7}, {\"weight\": 10139, \"source\": 3, \"target\": 6}, {\"weight\": 11632, \"source\": 4, \"target\": 5}, {\"weight\": 11619, \"source\": 4, \"target\": 8}, {\"weight\": 7769, \"source\": 4, \"target\": 7}, {\"weight\": 7855, \"source\": 4, \"target\": 6}, {\"weight\": 1300, \"source\": 5, \"target\": 8}, {\"weight\": 8987, \"source\": 5, \"target\": 7}, {\"weight\": 9961, \"source\": 5, \"target\": 6}, {\"weight\": 9700, \"source\": 6, \"target\": 8}, {\"weight\": 1071, \"source\": 6, \"target\": 7}, {\"weight\": 8726, \"source\": 7, \"target\": 8}]}",
"id": 854,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PGD, KTN, MID, MME, ISU, YDQ, UEO, MYJ, ALW\n- Travel distances (in kilometers) between each pair of airports:\nPGD to KTN: 5327\nPGD to MID: 2842\nPGD to YDQ: 5135\nPGD to ALW: 4576\nPGD to MME: 7588\nPGD to ISU: 11221\nPGD to MYJ: 12519\nPGD to UEO: 13492\nKTN to MID: 5261\nKTN to YDQ: 2051\nKTN to ALW: 1433\nKTN to MME: 9018\nKTN to ISU: 12370\nKTN to MYJ: 9477\nKTN to UEO: 10451\nMID to YDQ: 5080\nMID to ALW: 4510\nMID to MME: 8619\nMID to ISU: 12214\nMID to MYJ: 12554\nMID to UEO: 13528\nMME to YDQ: 8280\nMME to ALW: 8267\nMME to ISU: 4169\nMME to MYJ: 9627\nMME to UEO: 10139\nISU to YDQ: 11632\nISU to ALW: 11619\nISU to MYJ: 7769\nISU to UEO: 7855\nYDQ to ALW: 1300\nYDQ to MYJ: 8987\nYDQ to UEO: 9961\nUEO to ALW: 9700\nUEO to MYJ: 1071\nMYJ to ALW: 8726\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: YYR, COO, GXF, CUF, SVB, TRN, OMS, PLO, RTA\n- Travel distances (in kilometers) between each pair of airports:\nYYR to COO: 9591\nYYR to CUF: 6415\nYYR to TRN: 5467\nYYR to RTA: 14847\nYYR to GXF: 10491\nYYR to OMS: 9247\nYYR to SVB: 13622\nYYR to PLO: 18733\nCOO to CUF: 4877\nCOO to TRN: 4521\nCOO to RTA: 19349\nCOO to GXF: 5199\nCOO to OMS: 8338\nCOO to SVB: 5981\nCOO to PLO: 15197\nGXF to CUF: 5199\nGXF to TRN: 5086\nGXF to RTA: 15918\nGXF to OMS: 4985\nGXF to SVB: 4440\nGXF to PLO: 12637\nCUF to TRN: 948\nCUF to RTA: 18259\nCUF to OMS: 5195\nCUF to SVB: 8580\nCUF to PLO: 16104\nSVB to TRN: 8317\nSVB to RTA: 14169\nSVB to OMS: 9194\nSVB to PLO: 9625\nTRN to RTA: 17688\nTRN to OMS: 4636\nTRN to PLO: 16034\nOMS to RTA: 13209\nOMS to PLO: 12178\nPLO to RTA: 5162\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 57409,
"style": "rule"
}
|
{
"exact_answer": 57409,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"YYR\", \"id\": 0}, {\"name\": \"COO\", \"id\": 1}, {\"name\": \"GXF\", \"id\": 2}, {\"name\": \"CUF\", \"id\": 3}, {\"name\": \"SVB\", \"id\": 4}, {\"name\": \"TRN\", \"id\": 5}, {\"name\": \"OMS\", \"id\": 6}, {\"name\": \"PLO\", \"id\": 7}, {\"name\": \"RTA\", \"id\": 8}], \"links\": [{\"weight\": 9591, \"source\": 0, \"target\": 1}, {\"weight\": 6415, \"source\": 0, \"target\": 3}, {\"weight\": 5467, \"source\": 0, \"target\": 5}, {\"weight\": 14847, \"source\": 0, \"target\": 8}, {\"weight\": 10491, \"source\": 0, \"target\": 2}, {\"weight\": 9247, \"source\": 0, \"target\": 6}, {\"weight\": 13622, \"source\": 0, \"target\": 4}, {\"weight\": 18733, \"source\": 0, \"target\": 7}, {\"weight\": 4877, \"source\": 1, \"target\": 3}, {\"weight\": 4521, \"source\": 1, \"target\": 5}, {\"weight\": 19349, \"source\": 1, \"target\": 8}, {\"weight\": 5199, \"source\": 1, \"target\": 2}, {\"weight\": 8338, \"source\": 1, \"target\": 6}, {\"weight\": 5981, \"source\": 1, \"target\": 4}, {\"weight\": 15197, \"source\": 1, \"target\": 7}, {\"weight\": 5199, \"source\": 2, \"target\": 3}, {\"weight\": 5086, \"source\": 2, \"target\": 5}, {\"weight\": 15918, \"source\": 2, \"target\": 8}, {\"weight\": 4985, \"source\": 2, \"target\": 6}, {\"weight\": 4440, \"source\": 2, \"target\": 4}, {\"weight\": 12637, \"source\": 2, \"target\": 7}, {\"weight\": 948, \"source\": 3, \"target\": 5}, {\"weight\": 18259, \"source\": 3, \"target\": 8}, {\"weight\": 5195, \"source\": 3, \"target\": 6}, {\"weight\": 8580, \"source\": 3, \"target\": 4}, {\"weight\": 16104, \"source\": 3, \"target\": 7}, {\"weight\": 8317, \"source\": 4, \"target\": 5}, {\"weight\": 14169, \"source\": 4, \"target\": 8}, {\"weight\": 9194, \"source\": 4, \"target\": 6}, {\"weight\": 9625, \"source\": 4, \"target\": 7}, {\"weight\": 17688, \"source\": 5, \"target\": 8}, {\"weight\": 4636, \"source\": 5, \"target\": 6}, {\"weight\": 16034, \"source\": 5, \"target\": 7}, {\"weight\": 13209, \"source\": 6, \"target\": 8}, {\"weight\": 12178, \"source\": 6, \"target\": 7}, {\"weight\": 5162, \"source\": 7, \"target\": 8}]}",
"id": 855,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: YYR, COO, GXF, CUF, SVB, TRN, OMS, PLO, RTA\n- Travel distances (in kilometers) between each pair of airports:\nYYR to COO: 9591\nYYR to CUF: 6415\nYYR to TRN: 5467\nYYR to RTA: 14847\nYYR to GXF: 10491\nYYR to OMS: 9247\nYYR to SVB: 13622\nYYR to PLO: 18733\nCOO to CUF: 4877\nCOO to TRN: 4521\nCOO to RTA: 19349\nCOO to GXF: 5199\nCOO to OMS: 8338\nCOO to SVB: 5981\nCOO to PLO: 15197\nGXF to CUF: 5199\nGXF to TRN: 5086\nGXF to RTA: 15918\nGXF to OMS: 4985\nGXF to SVB: 4440\nGXF to PLO: 12637\nCUF to TRN: 948\nCUF to RTA: 18259\nCUF to OMS: 5195\nCUF to SVB: 8580\nCUF to PLO: 16104\nSVB to TRN: 8317\nSVB to RTA: 14169\nSVB to OMS: 9194\nSVB to PLO: 9625\nTRN to RTA: 17688\nTRN to OMS: 4636\nTRN to PLO: 16034\nOMS to RTA: 13209\nOMS to PLO: 12178\nPLO to RTA: 5162\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: YXX, GRP, IKT, YCL, SNW, YHP, ILY, TPS, DPL\n- Travel distances (in kilometers) between each pair of airports:\nYXX to IKT: 11460\nYXX to DPL: 12064\nYXX to SNW: 13318\nYXX to ILY: 7157\nYXX to TPS: 9404\nYXX to YCL: 4790\nYXX to GRP: 10948\nYXX to YHP: 2224\nGRP to IKT: 15809\nGRP to DPL: 20056\nGRP to SNW: 17746\nGRP to ILY: 9829\nGRP to TPS: 9683\nGRP to YCL: 8639\nGRP to YHP: 9491\nIKT to DPL: 5222\nIKT to SNW: 5146\nIKT to ILY: 6914\nIKT to TPS: 7019\nIKT to YCL: 11542\nIKT to YHP: 12394\nYCL to DPL: 15312\nYCL to SNW: 14239\nYCL to ILY: 5660\nYCL to TPS: 6814\nYCL to YHP: 3150\nSNW to DPL: 3755\nSNW to ILY: 9749\nSNW to TPS: 8757\nSNW to YHP: 14252\nYHP to DPL: 13012\nYHP to ILY: 6853\nYHP to TPS: 8865\nILY to DPL: 11858\nILY to TPS: 2477\nTPS to DPL: 11519\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 54052,
"style": "rule"
}
|
{
"exact_answer": 54052,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"YXX\", \"id\": 0}, {\"name\": \"GRP\", \"id\": 1}, {\"name\": \"IKT\", \"id\": 2}, {\"name\": \"YCL\", \"id\": 3}, {\"name\": \"SNW\", \"id\": 4}, {\"name\": \"YHP\", \"id\": 5}, {\"name\": \"ILY\", \"id\": 6}, {\"name\": \"TPS\", \"id\": 7}, {\"name\": \"DPL\", \"id\": 8}], \"links\": [{\"weight\": 11460, \"source\": 0, \"target\": 2}, {\"weight\": 12064, \"source\": 0, \"target\": 8}, {\"weight\": 13318, \"source\": 0, \"target\": 4}, {\"weight\": 7157, \"source\": 0, \"target\": 6}, {\"weight\": 9404, \"source\": 0, \"target\": 7}, {\"weight\": 4790, \"source\": 0, \"target\": 3}, {\"weight\": 10948, \"source\": 0, \"target\": 1}, {\"weight\": 2224, \"source\": 0, \"target\": 5}, {\"weight\": 15809, \"source\": 1, \"target\": 2}, {\"weight\": 20056, \"source\": 1, \"target\": 8}, {\"weight\": 17746, \"source\": 1, \"target\": 4}, {\"weight\": 9829, \"source\": 1, \"target\": 6}, {\"weight\": 9683, \"source\": 1, \"target\": 7}, {\"weight\": 8639, \"source\": 1, \"target\": 3}, {\"weight\": 9491, \"source\": 1, \"target\": 5}, {\"weight\": 5222, \"source\": 2, \"target\": 8}, {\"weight\": 5146, \"source\": 2, \"target\": 4}, {\"weight\": 6914, \"source\": 2, \"target\": 6}, {\"weight\": 7019, \"source\": 2, \"target\": 7}, {\"weight\": 11542, \"source\": 2, \"target\": 3}, {\"weight\": 12394, \"source\": 2, \"target\": 5}, {\"weight\": 15312, \"source\": 3, \"target\": 8}, {\"weight\": 14239, \"source\": 3, \"target\": 4}, {\"weight\": 5660, \"source\": 3, \"target\": 6}, {\"weight\": 6814, \"source\": 3, \"target\": 7}, {\"weight\": 3150, \"source\": 3, \"target\": 5}, {\"weight\": 3755, \"source\": 4, \"target\": 8}, {\"weight\": 9749, \"source\": 4, \"target\": 6}, {\"weight\": 8757, \"source\": 4, \"target\": 7}, {\"weight\": 14252, \"source\": 4, \"target\": 5}, {\"weight\": 13012, \"source\": 5, \"target\": 8}, {\"weight\": 6853, \"source\": 5, \"target\": 6}, {\"weight\": 8865, \"source\": 5, \"target\": 7}, {\"weight\": 11858, \"source\": 6, \"target\": 8}, {\"weight\": 2477, \"source\": 6, \"target\": 7}, {\"weight\": 11519, \"source\": 7, \"target\": 8}]}",
"id": 856,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: YXX, GRP, IKT, YCL, SNW, YHP, ILY, TPS, DPL\n- Travel distances (in kilometers) between each pair of airports:\nYXX to IKT: 11460\nYXX to DPL: 12064\nYXX to SNW: 13318\nYXX to ILY: 7157\nYXX to TPS: 9404\nYXX to YCL: 4790\nYXX to GRP: 10948\nYXX to YHP: 2224\nGRP to IKT: 15809\nGRP to DPL: 20056\nGRP to SNW: 17746\nGRP to ILY: 9829\nGRP to TPS: 9683\nGRP to YCL: 8639\nGRP to YHP: 9491\nIKT to DPL: 5222\nIKT to SNW: 5146\nIKT to ILY: 6914\nIKT to TPS: 7019\nIKT to YCL: 11542\nIKT to YHP: 12394\nYCL to DPL: 15312\nYCL to SNW: 14239\nYCL to ILY: 5660\nYCL to TPS: 6814\nYCL to YHP: 3150\nSNW to DPL: 3755\nSNW to ILY: 9749\nSNW to TPS: 8757\nSNW to YHP: 14252\nYHP to DPL: 13012\nYHP to ILY: 6853\nYHP to TPS: 8865\nILY to DPL: 11858\nILY to TPS: 2477\nTPS to DPL: 11519\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: COO, GRQ, CKS, KRN, ARH, ELC, STV, JLN, TLL\n- Travel distances (in kilometers) between each pair of airports:\nCOO to ARH: 7230\nCOO to JLN: 11169\nCOO to CKS: 7108\nCOO to STV: 7997\nCOO to TLL: 6279\nCOO to KRN: 7055\nCOO to GRQ: 5231\nCOO to ELC: 15512\nGRQ to ARH: 2769\nGRQ to JLN: 8732\nGRQ to CKS: 9062\nGRQ to STV: 7319\nGRQ to TLL: 1708\nGRQ to KRN: 2331\nGRQ to ELC: 14330\nCKS to ARH: 11386\nCKS to JLN: 7442\nCKS to STV: 14514\nCKS to TLL: 10325\nCKS to KRN: 10938\nCKS to ELC: 19750\nKRN to ARH: 2365\nKRN to JLN: 9586\nKRN to STV: 7435\nKRN to TLL: 1305\nKRN to ELC: 13963\nARH to JLN: 10121\nARH to STV: 6277\nARH to TLL: 1067\nARH to ELC: 12785\nELC to JLN: 17251\nELC to STV: 7996\nELC to TLL: 12709\nSTV to JLN: 14775\nSTV to TLL: 6139\nJLN to TLL: 9061\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 56008,
"style": "rule"
}
|
{
"exact_answer": 56008,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"COO\", \"id\": 0}, {\"name\": \"GRQ\", \"id\": 1}, {\"name\": \"CKS\", \"id\": 2}, {\"name\": \"KRN\", \"id\": 3}, {\"name\": \"ARH\", \"id\": 4}, {\"name\": \"ELC\", \"id\": 5}, {\"name\": \"STV\", \"id\": 6}, {\"name\": \"JLN\", \"id\": 7}, {\"name\": \"TLL\", \"id\": 8}], \"links\": [{\"weight\": 7230, \"source\": 0, \"target\": 4}, {\"weight\": 11169, \"source\": 0, \"target\": 7}, {\"weight\": 7108, \"source\": 0, \"target\": 2}, {\"weight\": 7997, \"source\": 0, \"target\": 6}, {\"weight\": 6279, \"source\": 0, \"target\": 8}, {\"weight\": 7055, \"source\": 0, \"target\": 3}, {\"weight\": 5231, \"source\": 0, \"target\": 1}, {\"weight\": 15512, \"source\": 0, \"target\": 5}, {\"weight\": 2769, \"source\": 1, \"target\": 4}, {\"weight\": 8732, \"source\": 1, \"target\": 7}, {\"weight\": 9062, \"source\": 1, \"target\": 2}, {\"weight\": 7319, \"source\": 1, \"target\": 6}, {\"weight\": 1708, \"source\": 1, \"target\": 8}, {\"weight\": 2331, \"source\": 1, \"target\": 3}, {\"weight\": 14330, \"source\": 1, \"target\": 5}, {\"weight\": 11386, \"source\": 2, \"target\": 4}, {\"weight\": 7442, \"source\": 2, \"target\": 7}, {\"weight\": 14514, \"source\": 2, \"target\": 6}, {\"weight\": 10325, \"source\": 2, \"target\": 8}, {\"weight\": 10938, \"source\": 2, \"target\": 3}, {\"weight\": 19750, \"source\": 2, \"target\": 5}, {\"weight\": 2365, \"source\": 3, \"target\": 4}, {\"weight\": 9586, \"source\": 3, \"target\": 7}, {\"weight\": 7435, \"source\": 3, \"target\": 6}, {\"weight\": 1305, \"source\": 3, \"target\": 8}, {\"weight\": 13963, \"source\": 3, \"target\": 5}, {\"weight\": 10121, \"source\": 4, \"target\": 7}, {\"weight\": 6277, \"source\": 4, \"target\": 6}, {\"weight\": 1067, \"source\": 4, \"target\": 8}, {\"weight\": 12785, \"source\": 4, \"target\": 5}, {\"weight\": 17251, \"source\": 5, \"target\": 7}, {\"weight\": 7996, \"source\": 5, \"target\": 6}, {\"weight\": 12709, \"source\": 5, \"target\": 8}, {\"weight\": 14775, \"source\": 6, \"target\": 7}, {\"weight\": 6139, \"source\": 6, \"target\": 8}, {\"weight\": 9061, \"source\": 7, \"target\": 8}]}",
"id": 857,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: COO, GRQ, CKS, KRN, ARH, ELC, STV, JLN, TLL\n- Travel distances (in kilometers) between each pair of airports:\nCOO to ARH: 7230\nCOO to JLN: 11169\nCOO to CKS: 7108\nCOO to STV: 7997\nCOO to TLL: 6279\nCOO to KRN: 7055\nCOO to GRQ: 5231\nCOO to ELC: 15512\nGRQ to ARH: 2769\nGRQ to JLN: 8732\nGRQ to CKS: 9062\nGRQ to STV: 7319\nGRQ to TLL: 1708\nGRQ to KRN: 2331\nGRQ to ELC: 14330\nCKS to ARH: 11386\nCKS to JLN: 7442\nCKS to STV: 14514\nCKS to TLL: 10325\nCKS to KRN: 10938\nCKS to ELC: 19750\nKRN to ARH: 2365\nKRN to JLN: 9586\nKRN to STV: 7435\nKRN to TLL: 1305\nKRN to ELC: 13963\nARH to JLN: 10121\nARH to STV: 6277\nARH to TLL: 1067\nARH to ELC: 12785\nELC to JLN: 17251\nELC to STV: 7996\nELC to TLL: 12709\nSTV to JLN: 14775\nSTV to TLL: 6139\nJLN to TLL: 9061\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: RSU, RIY, PRC, FSZ, SHC, CGB, FTU, BDU, MPN\n- Travel distances (in kilometers) between each pair of airports:\nRSU to CGB: 18846\nRSU to FSZ: 1270\nRSU to BDU: 9352\nRSU to SHC: 10179\nRSU to RIY: 8409\nRSU to MPN: 21948\nRSU to FTU: 11147\nRSU to PRC: 10782\nRIY to CGB: 12715\nRIY to FSZ: 9149\nRIY to BDU: 7190\nRIY to SHC: 2148\nRIY to MPN: 15952\nRIY to FTU: 5197\nRIY to PRC: 15198\nPRC to CGB: 9835\nPRC to FSZ: 10965\nPRC to BDU: 10487\nPRC to SHC: 15881\nPRC to MPN: 12680\nPRC to FTU: 19100\nFSZ to CGB: 19322\nFSZ to BDU: 9935\nFSZ to SHC: 10954\nFSZ to MPN: 22137\nFSZ to FTU: 11982\nSHC to CGB: 11879\nSHC to BDU: 7849\nSHC to MPN: 15116\nSHC to FTU: 4651\nCGB to BDU: 11982\nCGB to MPN: 5382\nCGB to FTU: 11599\nFTU to BDU: 11170\nFTU to MPN: 14798\nBDU to MPN: 16228\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 65237,
"style": "rule"
}
|
{
"exact_answer": 65237,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"RSU\", \"id\": 0}, {\"name\": \"RIY\", \"id\": 1}, {\"name\": \"PRC\", \"id\": 2}, {\"name\": \"FSZ\", \"id\": 3}, {\"name\": \"SHC\", \"id\": 4}, {\"name\": \"CGB\", \"id\": 5}, {\"name\": \"FTU\", \"id\": 6}, {\"name\": \"BDU\", \"id\": 7}, {\"name\": \"MPN\", \"id\": 8}], \"links\": [{\"weight\": 18846, \"source\": 0, \"target\": 5}, {\"weight\": 1270, \"source\": 0, \"target\": 3}, {\"weight\": 9352, \"source\": 0, \"target\": 7}, {\"weight\": 10179, \"source\": 0, \"target\": 4}, {\"weight\": 8409, \"source\": 0, \"target\": 1}, {\"weight\": 21948, \"source\": 0, \"target\": 8}, {\"weight\": 11147, \"source\": 0, \"target\": 6}, {\"weight\": 10782, \"source\": 0, \"target\": 2}, {\"weight\": 12715, \"source\": 1, \"target\": 5}, {\"weight\": 9149, \"source\": 1, \"target\": 3}, {\"weight\": 7190, \"source\": 1, \"target\": 7}, {\"weight\": 2148, \"source\": 1, \"target\": 4}, {\"weight\": 15952, \"source\": 1, \"target\": 8}, {\"weight\": 5197, \"source\": 1, \"target\": 6}, {\"weight\": 15198, \"source\": 1, \"target\": 2}, {\"weight\": 9835, \"source\": 2, \"target\": 5}, {\"weight\": 10965, \"source\": 2, \"target\": 3}, {\"weight\": 10487, \"source\": 2, \"target\": 7}, {\"weight\": 15881, \"source\": 2, \"target\": 4}, {\"weight\": 12680, \"source\": 2, \"target\": 8}, {\"weight\": 19100, \"source\": 2, \"target\": 6}, {\"weight\": 19322, \"source\": 3, \"target\": 5}, {\"weight\": 9935, \"source\": 3, \"target\": 7}, {\"weight\": 10954, \"source\": 3, \"target\": 4}, {\"weight\": 22137, \"source\": 3, \"target\": 8}, {\"weight\": 11982, \"source\": 3, \"target\": 6}, {\"weight\": 11879, \"source\": 4, \"target\": 5}, {\"weight\": 7849, \"source\": 4, \"target\": 7}, {\"weight\": 15116, \"source\": 4, \"target\": 8}, {\"weight\": 4651, \"source\": 4, \"target\": 6}, {\"weight\": 11982, \"source\": 5, \"target\": 7}, {\"weight\": 5382, \"source\": 5, \"target\": 8}, {\"weight\": 11599, \"source\": 5, \"target\": 6}, {\"weight\": 11170, \"source\": 6, \"target\": 7}, {\"weight\": 14798, \"source\": 6, \"target\": 8}, {\"weight\": 16228, \"source\": 7, \"target\": 8}]}",
"id": 858,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: RSU, RIY, PRC, FSZ, SHC, CGB, FTU, BDU, MPN\n- Travel distances (in kilometers) between each pair of airports:\nRSU to CGB: 18846\nRSU to FSZ: 1270\nRSU to BDU: 9352\nRSU to SHC: 10179\nRSU to RIY: 8409\nRSU to MPN: 21948\nRSU to FTU: 11147\nRSU to PRC: 10782\nRIY to CGB: 12715\nRIY to FSZ: 9149\nRIY to BDU: 7190\nRIY to SHC: 2148\nRIY to MPN: 15952\nRIY to FTU: 5197\nRIY to PRC: 15198\nPRC to CGB: 9835\nPRC to FSZ: 10965\nPRC to BDU: 10487\nPRC to SHC: 15881\nPRC to MPN: 12680\nPRC to FTU: 19100\nFSZ to CGB: 19322\nFSZ to BDU: 9935\nFSZ to SHC: 10954\nFSZ to MPN: 22137\nFSZ to FTU: 11982\nSHC to CGB: 11879\nSHC to BDU: 7849\nSHC to MPN: 15116\nSHC to FTU: 4651\nCGB to BDU: 11982\nCGB to MPN: 5382\nCGB to FTU: 11599\nFTU to BDU: 11170\nFTU to MPN: 14798\nBDU to MPN: 16228\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: HEK, ILO, BOM, DPS, RET, GAO, VDH, LBD, HNA\n- Travel distances (in kilometers) between each pair of airports:\nHEK to ILO: 4474\nHEK to DPS: 6666\nHEK to BOM: 6250\nHEK to LBD: 5341\nHEK to GAO: 15174\nHEK to HNA: 2631\nHEK to VDH: 4269\nHEK to RET: 8402\nILO to DPS: 2580\nILO to BOM: 5667\nILO to LBD: 6510\nILO to GAO: 16742\nILO to HNA: 3928\nILO to VDH: 2643\nILO to RET: 10863\nBOM to DPS: 5588\nBOM to LBD: 5027\nBOM to GAO: 15493\nBOM to HNA: 7084\nBOM to VDH: 4234\nBOM to RET: 7512\nDPS to LBD: 8377\nDPS to GAO: 18910\nDPS to HNA: 6142\nDPS to VDH: 3508\nDPS to RET: 12288\nRET to LBD: 5195\nRET to GAO: 9440\nRET to HNA: 9538\nRET to VDH: 9401\nGAO to LBD: 13336\nGAO to HNA: 14462\nGAO to VDH: 16443\nVDH to LBD: 5067\nVDH to HNA: 4356\nLBD to HNA: 6431\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 51551,
"style": "rule"
}
|
{
"exact_answer": 51551,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"HEK\", \"id\": 0}, {\"name\": \"ILO\", \"id\": 1}, {\"name\": \"BOM\", \"id\": 2}, {\"name\": \"DPS\", \"id\": 3}, {\"name\": \"RET\", \"id\": 4}, {\"name\": \"GAO\", \"id\": 5}, {\"name\": \"VDH\", \"id\": 6}, {\"name\": \"LBD\", \"id\": 7}, {\"name\": \"HNA\", \"id\": 8}], \"links\": [{\"weight\": 4474, \"source\": 0, \"target\": 1}, {\"weight\": 6666, \"source\": 0, \"target\": 3}, {\"weight\": 6250, \"source\": 0, \"target\": 2}, {\"weight\": 5341, \"source\": 0, \"target\": 7}, {\"weight\": 15174, \"source\": 0, \"target\": 5}, {\"weight\": 2631, \"source\": 0, \"target\": 8}, {\"weight\": 4269, \"source\": 0, \"target\": 6}, {\"weight\": 8402, \"source\": 0, \"target\": 4}, {\"weight\": 2580, \"source\": 1, \"target\": 3}, {\"weight\": 5667, \"source\": 1, \"target\": 2}, {\"weight\": 6510, \"source\": 1, \"target\": 7}, {\"weight\": 16742, \"source\": 1, \"target\": 5}, {\"weight\": 3928, \"source\": 1, \"target\": 8}, {\"weight\": 2643, \"source\": 1, \"target\": 6}, {\"weight\": 10863, \"source\": 1, \"target\": 4}, {\"weight\": 5588, \"source\": 2, \"target\": 3}, {\"weight\": 5027, \"source\": 2, \"target\": 7}, {\"weight\": 15493, \"source\": 2, \"target\": 5}, {\"weight\": 7084, \"source\": 2, \"target\": 8}, {\"weight\": 4234, \"source\": 2, \"target\": 6}, {\"weight\": 7512, \"source\": 2, \"target\": 4}, {\"weight\": 8377, \"source\": 3, \"target\": 7}, {\"weight\": 18910, \"source\": 3, \"target\": 5}, {\"weight\": 6142, \"source\": 3, \"target\": 8}, {\"weight\": 3508, \"source\": 3, \"target\": 6}, {\"weight\": 12288, \"source\": 3, \"target\": 4}, {\"weight\": 5195, \"source\": 4, \"target\": 7}, {\"weight\": 9440, \"source\": 4, \"target\": 5}, {\"weight\": 9538, \"source\": 4, \"target\": 8}, {\"weight\": 9401, \"source\": 4, \"target\": 6}, {\"weight\": 13336, \"source\": 5, \"target\": 7}, {\"weight\": 14462, \"source\": 5, \"target\": 8}, {\"weight\": 16443, \"source\": 5, \"target\": 6}, {\"weight\": 5067, \"source\": 6, \"target\": 7}, {\"weight\": 4356, \"source\": 6, \"target\": 8}, {\"weight\": 6431, \"source\": 7, \"target\": 8}]}",
"id": 859,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: HEK, ILO, BOM, DPS, RET, GAO, VDH, LBD, HNA\n- Travel distances (in kilometers) between each pair of airports:\nHEK to ILO: 4474\nHEK to DPS: 6666\nHEK to BOM: 6250\nHEK to LBD: 5341\nHEK to GAO: 15174\nHEK to HNA: 2631\nHEK to VDH: 4269\nHEK to RET: 8402\nILO to DPS: 2580\nILO to BOM: 5667\nILO to LBD: 6510\nILO to GAO: 16742\nILO to HNA: 3928\nILO to VDH: 2643\nILO to RET: 10863\nBOM to DPS: 5588\nBOM to LBD: 5027\nBOM to GAO: 15493\nBOM to HNA: 7084\nBOM to VDH: 4234\nBOM to RET: 7512\nDPS to LBD: 8377\nDPS to GAO: 18910\nDPS to HNA: 6142\nDPS to VDH: 3508\nDPS to RET: 12288\nRET to LBD: 5195\nRET to GAO: 9440\nRET to HNA: 9538\nRET to VDH: 9401\nGAO to LBD: 13336\nGAO to HNA: 14462\nGAO to VDH: 16443\nVDH to LBD: 5067\nVDH to HNA: 4356\nLBD to HNA: 6431\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SPU, MXH, VII, TSH, HJR, IXD, INL, DAY, GRW\n- Travel distances (in kilometers) between each pair of airports:\nSPU to DAY: 7804\nSPU to HJR: 6686\nSPU to IXD: 6291\nSPU to VII: 9081\nSPU to TSH: 6846\nSPU to MXH: 14778\nSPU to INL: 8382\nSPU to GRW: 3800\nMXH to DAY: 15962\nMXH to HJR: 9183\nMXH to IXD: 9935\nMXH to VII: 6534\nMXH to TSH: 15793\nMXH to INL: 15594\nMXH to GRW: 17991\nVII to DAY: 13522\nVII to HJR: 3252\nVII to IXD: 4188\nVII to TSH: 10656\nVII to INL: 13814\nVII to GRW: 12260\nTSH to DAY: 11807\nTSH to HJR: 8470\nTSH to IXD: 8263\nTSH to INL: 12952\nTSH to GRW: 7737\nHJR to DAY: 13205\nHJR to IXD: 1545\nHJR to INL: 13936\nHJR to GRW: 10294\nIXD to DAY: 12810\nIXD to INL: 13541\nIXD to GRW: 9899\nINL to DAY: 1331\nINL to GRW: 6264\nDAY to GRW: 5262\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 52427,
"style": "rule"
}
|
{
"exact_answer": 52427,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"SPU\", \"id\": 0}, {\"name\": \"MXH\", \"id\": 1}, {\"name\": \"VII\", \"id\": 2}, {\"name\": \"TSH\", \"id\": 3}, {\"name\": \"HJR\", \"id\": 4}, {\"name\": \"IXD\", \"id\": 5}, {\"name\": \"INL\", \"id\": 6}, {\"name\": \"DAY\", \"id\": 7}, {\"name\": \"GRW\", \"id\": 8}], \"links\": [{\"weight\": 7804, \"source\": 0, \"target\": 7}, {\"weight\": 6686, \"source\": 0, \"target\": 4}, {\"weight\": 6291, \"source\": 0, \"target\": 5}, {\"weight\": 9081, \"source\": 0, \"target\": 2}, {\"weight\": 6846, \"source\": 0, \"target\": 3}, {\"weight\": 14778, \"source\": 0, \"target\": 1}, {\"weight\": 8382, \"source\": 0, \"target\": 6}, {\"weight\": 3800, \"source\": 0, \"target\": 8}, {\"weight\": 15962, \"source\": 1, \"target\": 7}, {\"weight\": 9183, \"source\": 1, \"target\": 4}, {\"weight\": 9935, \"source\": 1, \"target\": 5}, {\"weight\": 6534, \"source\": 1, \"target\": 2}, {\"weight\": 15793, \"source\": 1, \"target\": 3}, {\"weight\": 15594, \"source\": 1, \"target\": 6}, {\"weight\": 17991, \"source\": 1, \"target\": 8}, {\"weight\": 13522, \"source\": 2, \"target\": 7}, {\"weight\": 3252, \"source\": 2, \"target\": 4}, {\"weight\": 4188, \"source\": 2, \"target\": 5}, {\"weight\": 10656, \"source\": 2, \"target\": 3}, {\"weight\": 13814, \"source\": 2, \"target\": 6}, {\"weight\": 12260, \"source\": 2, \"target\": 8}, {\"weight\": 11807, \"source\": 3, \"target\": 7}, {\"weight\": 8470, \"source\": 3, \"target\": 4}, {\"weight\": 8263, \"source\": 3, \"target\": 5}, {\"weight\": 12952, \"source\": 3, \"target\": 6}, {\"weight\": 7737, \"source\": 3, \"target\": 8}, {\"weight\": 13205, \"source\": 4, \"target\": 7}, {\"weight\": 1545, \"source\": 4, \"target\": 5}, {\"weight\": 13936, \"source\": 4, \"target\": 6}, {\"weight\": 10294, \"source\": 4, \"target\": 8}, {\"weight\": 12810, \"source\": 5, \"target\": 7}, {\"weight\": 13541, \"source\": 5, \"target\": 6}, {\"weight\": 9899, \"source\": 5, \"target\": 8}, {\"weight\": 1331, \"source\": 6, \"target\": 7}, {\"weight\": 6264, \"source\": 6, \"target\": 8}, {\"weight\": 5262, \"source\": 7, \"target\": 8}]}",
"id": 860,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SPU, MXH, VII, TSH, HJR, IXD, INL, DAY, GRW\n- Travel distances (in kilometers) between each pair of airports:\nSPU to DAY: 7804\nSPU to HJR: 6686\nSPU to IXD: 6291\nSPU to VII: 9081\nSPU to TSH: 6846\nSPU to MXH: 14778\nSPU to INL: 8382\nSPU to GRW: 3800\nMXH to DAY: 15962\nMXH to HJR: 9183\nMXH to IXD: 9935\nMXH to VII: 6534\nMXH to TSH: 15793\nMXH to INL: 15594\nMXH to GRW: 17991\nVII to DAY: 13522\nVII to HJR: 3252\nVII to IXD: 4188\nVII to TSH: 10656\nVII to INL: 13814\nVII to GRW: 12260\nTSH to DAY: 11807\nTSH to HJR: 8470\nTSH to IXD: 8263\nTSH to INL: 12952\nTSH to GRW: 7737\nHJR to DAY: 13205\nHJR to IXD: 1545\nHJR to INL: 13936\nHJR to GRW: 10294\nIXD to DAY: 12810\nIXD to INL: 13541\nIXD to GRW: 9899\nINL to DAY: 1331\nINL to GRW: 6264\nDAY to GRW: 5262\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: OLL, YAB, ATW, JIM, XKS, YPR, JUB, YNP, AFZ\n- Travel distances (in kilometers) between each pair of airports:\nOLL to JUB: 2794\nOLL to YAB: 14141\nOLL to YPR: 15073\nOLL to ATW: 11872\nOLL to AFZ: 7138\nOLL to JIM: 3521\nOLL to YNP: 11614\nOLL to XKS: 12788\nYAB to JUB: 13755\nYAB to YPR: 6112\nYAB to ATW: 4499\nYAB to AFZ: 12541\nYAB to JIM: 13516\nYAB to YNP: 3193\nYAB to XKS: 4668\nATW to JUB: 12852\nATW to YPR: 3436\nATW to AFZ: 11622\nATW to JIM: 12500\nATW to YNP: 3048\nATW to XKS: 1842\nJIM to JUB: 1096\nJIM to YPR: 14345\nJIM to AFZ: 3977\nJIM to YNP: 10973\nJIM to XKS: 13301\nXKS to JUB: 13655\nXKS to YPR: 3446\nXKS to AFZ: 12432\nXKS to YNP: 3849\nYPR to JUB: 14524\nYPR to AFZ: 13220\nYPR to YNP: 6157\nJUB to AFZ: 4638\nJUB to YNP: 11212\nYNP to AFZ: 9998\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 44330,
"style": "rule"
}
|
{
"exact_answer": 44330,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"OLL\", \"id\": 0}, {\"name\": \"YAB\", \"id\": 1}, {\"name\": \"ATW\", \"id\": 2}, {\"name\": \"JIM\", \"id\": 3}, {\"name\": \"XKS\", \"id\": 4}, {\"name\": \"YPR\", \"id\": 5}, {\"name\": \"JUB\", \"id\": 6}, {\"name\": \"YNP\", \"id\": 7}, {\"name\": \"AFZ\", \"id\": 8}], \"links\": [{\"weight\": 2794, \"source\": 0, \"target\": 6}, {\"weight\": 14141, \"source\": 0, \"target\": 1}, {\"weight\": 15073, \"source\": 0, \"target\": 5}, {\"weight\": 11872, \"source\": 0, \"target\": 2}, {\"weight\": 7138, \"source\": 0, \"target\": 8}, {\"weight\": 3521, \"source\": 0, \"target\": 3}, {\"weight\": 11614, \"source\": 0, \"target\": 7}, {\"weight\": 12788, \"source\": 0, \"target\": 4}, {\"weight\": 13755, \"source\": 1, \"target\": 6}, {\"weight\": 6112, \"source\": 1, \"target\": 5}, {\"weight\": 4499, \"source\": 1, \"target\": 2}, {\"weight\": 12541, \"source\": 1, \"target\": 8}, {\"weight\": 13516, \"source\": 1, \"target\": 3}, {\"weight\": 3193, \"source\": 1, \"target\": 7}, {\"weight\": 4668, \"source\": 1, \"target\": 4}, {\"weight\": 12852, \"source\": 2, \"target\": 6}, {\"weight\": 3436, \"source\": 2, \"target\": 5}, {\"weight\": 11622, \"source\": 2, \"target\": 8}, {\"weight\": 12500, \"source\": 2, \"target\": 3}, {\"weight\": 3048, \"source\": 2, \"target\": 7}, {\"weight\": 1842, \"source\": 2, \"target\": 4}, {\"weight\": 1096, \"source\": 3, \"target\": 6}, {\"weight\": 14345, \"source\": 3, \"target\": 5}, {\"weight\": 3977, \"source\": 3, \"target\": 8}, {\"weight\": 10973, \"source\": 3, \"target\": 7}, {\"weight\": 13301, \"source\": 3, \"target\": 4}, {\"weight\": 13655, \"source\": 4, \"target\": 6}, {\"weight\": 3446, \"source\": 4, \"target\": 5}, {\"weight\": 12432, \"source\": 4, \"target\": 8}, {\"weight\": 3849, \"source\": 4, \"target\": 7}, {\"weight\": 14524, \"source\": 5, \"target\": 6}, {\"weight\": 13220, \"source\": 5, \"target\": 8}, {\"weight\": 6157, \"source\": 5, \"target\": 7}, {\"weight\": 4638, \"source\": 6, \"target\": 8}, {\"weight\": 11212, \"source\": 6, \"target\": 7}, {\"weight\": 9998, \"source\": 7, \"target\": 8}]}",
"id": 861,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: OLL, YAB, ATW, JIM, XKS, YPR, JUB, YNP, AFZ\n- Travel distances (in kilometers) between each pair of airports:\nOLL to JUB: 2794\nOLL to YAB: 14141\nOLL to YPR: 15073\nOLL to ATW: 11872\nOLL to AFZ: 7138\nOLL to JIM: 3521\nOLL to YNP: 11614\nOLL to XKS: 12788\nYAB to JUB: 13755\nYAB to YPR: 6112\nYAB to ATW: 4499\nYAB to AFZ: 12541\nYAB to JIM: 13516\nYAB to YNP: 3193\nYAB to XKS: 4668\nATW to JUB: 12852\nATW to YPR: 3436\nATW to AFZ: 11622\nATW to JIM: 12500\nATW to YNP: 3048\nATW to XKS: 1842\nJIM to JUB: 1096\nJIM to YPR: 14345\nJIM to AFZ: 3977\nJIM to YNP: 10973\nJIM to XKS: 13301\nXKS to JUB: 13655\nXKS to YPR: 3446\nXKS to AFZ: 12432\nXKS to YNP: 3849\nYPR to JUB: 14524\nYPR to AFZ: 13220\nYPR to YNP: 6157\nJUB to AFZ: 4638\nJUB to YNP: 11212\nYNP to AFZ: 9998\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SRK, RMP, DUB, PIA, CHS, KAJ, INH, CEB, KAT\n- Travel distances (in kilometers) between each pair of airports:\nSRK to DUB: 4726\nSRK to RMP: 11486\nSRK to CEB: 15047\nSRK to CHS: 8270\nSRK to PIA: 8151\nSRK to KAJ: 5989\nSRK to KAT: 20427\nSRK to INH: 14681\nRMP to DUB: 10046\nRMP to CEB: 13526\nRMP to CHS: 6341\nRMP to PIA: 5141\nRMP to KAJ: 11309\nRMP to KAT: 12365\nRMP to INH: 19837\nDUB to CEB: 11542\nDUB to CHS: 6119\nDUB to PIA: 6103\nDUB to KAJ: 2484\nDUB to KAT: 18940\nDUB to INH: 10286\nPIA to CEB: 13381\nPIA to CHS: 1325\nPIA to KAJ: 7923\nPIA to KAT: 13388\nPIA to INH: 14966\nCHS to CEB: 14576\nCHS to KAJ: 8093\nCHS to KAT: 14281\nCHS to INH: 14592\nKAJ to CEB: 9982\nKAJ to KAT: 17380\nKAJ to INH: 10548\nINH to CEB: 11769\nINH to KAT: 14202\nCEB to KAT: 8019\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 64647,
"style": "rule"
}
|
{
"exact_answer": 64647,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"SRK\", \"id\": 0}, {\"name\": \"RMP\", \"id\": 1}, {\"name\": \"DUB\", \"id\": 2}, {\"name\": \"PIA\", \"id\": 3}, {\"name\": \"CHS\", \"id\": 4}, {\"name\": \"KAJ\", \"id\": 5}, {\"name\": \"INH\", \"id\": 6}, {\"name\": \"CEB\", \"id\": 7}, {\"name\": \"KAT\", \"id\": 8}], \"links\": [{\"weight\": 4726, \"source\": 0, \"target\": 2}, {\"weight\": 11486, \"source\": 0, \"target\": 1}, {\"weight\": 15047, \"source\": 0, \"target\": 7}, {\"weight\": 8270, \"source\": 0, \"target\": 4}, {\"weight\": 8151, \"source\": 0, \"target\": 3}, {\"weight\": 5989, \"source\": 0, \"target\": 5}, {\"weight\": 20427, \"source\": 0, \"target\": 8}, {\"weight\": 14681, \"source\": 0, \"target\": 6}, {\"weight\": 10046, \"source\": 1, \"target\": 2}, {\"weight\": 13526, \"source\": 1, \"target\": 7}, {\"weight\": 6341, \"source\": 1, \"target\": 4}, {\"weight\": 5141, \"source\": 1, \"target\": 3}, {\"weight\": 11309, \"source\": 1, \"target\": 5}, {\"weight\": 12365, \"source\": 1, \"target\": 8}, {\"weight\": 19837, \"source\": 1, \"target\": 6}, {\"weight\": 11542, \"source\": 2, \"target\": 7}, {\"weight\": 6119, \"source\": 2, \"target\": 4}, {\"weight\": 6103, \"source\": 2, \"target\": 3}, {\"weight\": 2484, \"source\": 2, \"target\": 5}, {\"weight\": 18940, \"source\": 2, \"target\": 8}, {\"weight\": 10286, \"source\": 2, \"target\": 6}, {\"weight\": 13381, \"source\": 3, \"target\": 7}, {\"weight\": 1325, \"source\": 3, \"target\": 4}, {\"weight\": 7923, \"source\": 3, \"target\": 5}, {\"weight\": 13388, \"source\": 3, \"target\": 8}, {\"weight\": 14966, \"source\": 3, \"target\": 6}, {\"weight\": 14576, \"source\": 4, \"target\": 7}, {\"weight\": 8093, \"source\": 4, \"target\": 5}, {\"weight\": 14281, \"source\": 4, \"target\": 8}, {\"weight\": 14592, \"source\": 4, \"target\": 6}, {\"weight\": 9982, \"source\": 5, \"target\": 7}, {\"weight\": 17380, \"source\": 5, \"target\": 8}, {\"weight\": 10548, \"source\": 5, \"target\": 6}, {\"weight\": 11769, \"source\": 6, \"target\": 7}, {\"weight\": 14202, \"source\": 6, \"target\": 8}, {\"weight\": 8019, \"source\": 7, \"target\": 8}]}",
"id": 862,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SRK, RMP, DUB, PIA, CHS, KAJ, INH, CEB, KAT\n- Travel distances (in kilometers) between each pair of airports:\nSRK to DUB: 4726\nSRK to RMP: 11486\nSRK to CEB: 15047\nSRK to CHS: 8270\nSRK to PIA: 8151\nSRK to KAJ: 5989\nSRK to KAT: 20427\nSRK to INH: 14681\nRMP to DUB: 10046\nRMP to CEB: 13526\nRMP to CHS: 6341\nRMP to PIA: 5141\nRMP to KAJ: 11309\nRMP to KAT: 12365\nRMP to INH: 19837\nDUB to CEB: 11542\nDUB to CHS: 6119\nDUB to PIA: 6103\nDUB to KAJ: 2484\nDUB to KAT: 18940\nDUB to INH: 10286\nPIA to CEB: 13381\nPIA to CHS: 1325\nPIA to KAJ: 7923\nPIA to KAT: 13388\nPIA to INH: 14966\nCHS to CEB: 14576\nCHS to KAJ: 8093\nCHS to KAT: 14281\nCHS to INH: 14592\nKAJ to CEB: 9982\nKAJ to KAT: 17380\nKAJ to INH: 10548\nINH to CEB: 11769\nINH to KAT: 14202\nCEB to KAT: 8019\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: DZN, TID, YBC, NOJ, LHR, TCR, XIL, SOQ, TRV\n- Travel distances (in kilometers) between each pair of airports:\nDZN to LHR: 6493\nDZN to TRV: 4753\nDZN to YBC: 11726\nDZN to TID: 7266\nDZN to XIL: 4212\nDZN to SOQ: 9353\nDZN to TCR: 4791\nDZN to NOJ: 3954\nTID to LHR: 1885\nTID to TRV: 8213\nTID to YBC: 7074\nTID to XIL: 9689\nTID to SOQ: 14180\nTID to TCR: 8730\nTID to NOJ: 5807\nYBC to LHR: 5233\nYBC to TRV: 13665\nYBC to XIL: 12074\nYBC to SOQ: 17979\nYBC to TCR: 13985\nYBC to NOJ: 10027\nNOJ to LHR: 4794\nNOJ to TRV: 6474\nNOJ to XIL: 5388\nNOJ to SOQ: 10879\nNOJ to TCR: 6512\nLHR to TRV: 8432\nLHR to XIL: 8583\nLHR to SOQ: 13949\nLHR to TCR: 8752\nTCR to TRV: 1133\nTCR to XIL: 5819\nTCR to SOQ: 6510\nXIL to TRV: 5916\nXIL to SOQ: 6870\nSOQ to TRV: 6167\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 47914,
"style": "rule"
}
|
{
"exact_answer": 47914,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"DZN\", \"id\": 0}, {\"name\": \"TID\", \"id\": 1}, {\"name\": \"YBC\", \"id\": 2}, {\"name\": \"NOJ\", \"id\": 3}, {\"name\": \"LHR\", \"id\": 4}, {\"name\": \"TCR\", \"id\": 5}, {\"name\": \"XIL\", \"id\": 6}, {\"name\": \"SOQ\", \"id\": 7}, {\"name\": \"TRV\", \"id\": 8}], \"links\": [{\"weight\": 6493, \"source\": 0, \"target\": 4}, {\"weight\": 4753, \"source\": 0, \"target\": 8}, {\"weight\": 11726, \"source\": 0, \"target\": 2}, {\"weight\": 7266, \"source\": 0, \"target\": 1}, {\"weight\": 4212, \"source\": 0, \"target\": 6}, {\"weight\": 9353, \"source\": 0, \"target\": 7}, {\"weight\": 4791, \"source\": 0, \"target\": 5}, {\"weight\": 3954, \"source\": 0, \"target\": 3}, {\"weight\": 1885, \"source\": 1, \"target\": 4}, {\"weight\": 8213, \"source\": 1, \"target\": 8}, {\"weight\": 7074, \"source\": 1, \"target\": 2}, {\"weight\": 9689, \"source\": 1, \"target\": 6}, {\"weight\": 14180, \"source\": 1, \"target\": 7}, {\"weight\": 8730, \"source\": 1, \"target\": 5}, {\"weight\": 5807, \"source\": 1, \"target\": 3}, {\"weight\": 5233, \"source\": 2, \"target\": 4}, {\"weight\": 13665, \"source\": 2, \"target\": 8}, {\"weight\": 12074, \"source\": 2, \"target\": 6}, {\"weight\": 17979, \"source\": 2, \"target\": 7}, {\"weight\": 13985, \"source\": 2, \"target\": 5}, {\"weight\": 10027, \"source\": 2, \"target\": 3}, {\"weight\": 4794, \"source\": 3, \"target\": 4}, {\"weight\": 6474, \"source\": 3, \"target\": 8}, {\"weight\": 5388, \"source\": 3, \"target\": 6}, {\"weight\": 10879, \"source\": 3, \"target\": 7}, {\"weight\": 6512, \"source\": 3, \"target\": 5}, {\"weight\": 8432, \"source\": 4, \"target\": 8}, {\"weight\": 8583, \"source\": 4, \"target\": 6}, {\"weight\": 13949, \"source\": 4, \"target\": 7}, {\"weight\": 8752, \"source\": 4, \"target\": 5}, {\"weight\": 1133, \"source\": 5, \"target\": 8}, {\"weight\": 5819, \"source\": 5, \"target\": 6}, {\"weight\": 6510, \"source\": 5, \"target\": 7}, {\"weight\": 5916, \"source\": 6, \"target\": 8}, {\"weight\": 6870, \"source\": 6, \"target\": 7}, {\"weight\": 6167, \"source\": 7, \"target\": 8}]}",
"id": 863,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: DZN, TID, YBC, NOJ, LHR, TCR, XIL, SOQ, TRV\n- Travel distances (in kilometers) between each pair of airports:\nDZN to LHR: 6493\nDZN to TRV: 4753\nDZN to YBC: 11726\nDZN to TID: 7266\nDZN to XIL: 4212\nDZN to SOQ: 9353\nDZN to TCR: 4791\nDZN to NOJ: 3954\nTID to LHR: 1885\nTID to TRV: 8213\nTID to YBC: 7074\nTID to XIL: 9689\nTID to SOQ: 14180\nTID to TCR: 8730\nTID to NOJ: 5807\nYBC to LHR: 5233\nYBC to TRV: 13665\nYBC to XIL: 12074\nYBC to SOQ: 17979\nYBC to TCR: 13985\nYBC to NOJ: 10027\nNOJ to LHR: 4794\nNOJ to TRV: 6474\nNOJ to XIL: 5388\nNOJ to SOQ: 10879\nNOJ to TCR: 6512\nLHR to TRV: 8432\nLHR to XIL: 8583\nLHR to SOQ: 13949\nLHR to TCR: 8752\nTCR to TRV: 1133\nTCR to XIL: 5819\nTCR to SOQ: 6510\nXIL to TRV: 5916\nXIL to SOQ: 6870\nSOQ to TRV: 6167\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, REN, UDR, BFF, NUS, NCU, AVV, BPX, RSW\n- Travel distances (in kilometers) between each pair of airports:\nHAM to RSW: 7828\nHAM to NCU: 3956\nHAM to UDR: 6634\nHAM to BPX: 8089\nHAM to REN: 3030\nHAM to AVV: 17044\nHAM to NUS: 16699\nHAM to BFF: 8243\nREN to RSW: 10422\nREN to NCU: 3344\nREN to UDR: 3692\nREN to BPX: 5147\nREN to AVV: 14338\nREN to NUS: 14572\nREN to BFF: 10502\nUDR to RSW: 14027\nUDR to NCU: 2932\nUDR to BPX: 2541\nUDR to AVV: 11586\nUDR to NUS: 12240\nUDR to BFF: 14177\nBFF to RSW: 2825\nBFF to NCU: 11471\nBFF to BPX: 12732\nBFF to AVV: 14441\nBFF to NUS: 11687\nNUS to RSW: 13657\nNUS to NCU: 13557\nNUS to BPX: 9961\nNUS to AVV: 3442\nNCU to RSW: 11391\nNCU to BPX: 4387\nNCU to AVV: 13396\nAVV to RSW: 16197\nAVV to BPX: 10153\nBPX to RSW: 14578\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 47782,
"style": "rule"
}
|
{
"exact_answer": 47782,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"HAM\", \"id\": 0}, {\"name\": \"REN\", \"id\": 1}, {\"name\": \"UDR\", \"id\": 2}, {\"name\": \"BFF\", \"id\": 3}, {\"name\": \"NUS\", \"id\": 4}, {\"name\": \"NCU\", \"id\": 5}, {\"name\": \"AVV\", \"id\": 6}, {\"name\": \"BPX\", \"id\": 7}, {\"name\": \"RSW\", \"id\": 8}], \"links\": [{\"weight\": 7828, \"source\": 0, \"target\": 8}, {\"weight\": 3956, \"source\": 0, \"target\": 5}, {\"weight\": 6634, \"source\": 0, \"target\": 2}, {\"weight\": 8089, \"source\": 0, \"target\": 7}, {\"weight\": 3030, \"source\": 0, \"target\": 1}, {\"weight\": 17044, \"source\": 0, \"target\": 6}, {\"weight\": 16699, \"source\": 0, \"target\": 4}, {\"weight\": 8243, \"source\": 0, \"target\": 3}, {\"weight\": 10422, \"source\": 1, \"target\": 8}, {\"weight\": 3344, \"source\": 1, \"target\": 5}, {\"weight\": 3692, \"source\": 1, \"target\": 2}, {\"weight\": 5147, \"source\": 1, \"target\": 7}, {\"weight\": 14338, \"source\": 1, \"target\": 6}, {\"weight\": 14572, \"source\": 1, \"target\": 4}, {\"weight\": 10502, \"source\": 1, \"target\": 3}, {\"weight\": 14027, \"source\": 2, \"target\": 8}, {\"weight\": 2932, \"source\": 2, \"target\": 5}, {\"weight\": 2541, \"source\": 2, \"target\": 7}, {\"weight\": 11586, \"source\": 2, \"target\": 6}, {\"weight\": 12240, \"source\": 2, \"target\": 4}, {\"weight\": 14177, \"source\": 2, \"target\": 3}, {\"weight\": 2825, \"source\": 3, \"target\": 8}, {\"weight\": 11471, \"source\": 3, \"target\": 5}, {\"weight\": 12732, \"source\": 3, \"target\": 7}, {\"weight\": 14441, \"source\": 3, \"target\": 6}, {\"weight\": 11687, \"source\": 3, \"target\": 4}, {\"weight\": 13657, \"source\": 4, \"target\": 8}, {\"weight\": 13557, \"source\": 4, \"target\": 5}, {\"weight\": 9961, \"source\": 4, \"target\": 7}, {\"weight\": 3442, \"source\": 4, \"target\": 6}, {\"weight\": 11391, \"source\": 5, \"target\": 8}, {\"weight\": 4387, \"source\": 5, \"target\": 7}, {\"weight\": 13396, \"source\": 5, \"target\": 6}, {\"weight\": 16197, \"source\": 6, \"target\": 8}, {\"weight\": 10153, \"source\": 6, \"target\": 7}, {\"weight\": 14578, \"source\": 7, \"target\": 8}]}",
"id": 864,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, REN, UDR, BFF, NUS, NCU, AVV, BPX, RSW\n- Travel distances (in kilometers) between each pair of airports:\nHAM to RSW: 7828\nHAM to NCU: 3956\nHAM to UDR: 6634\nHAM to BPX: 8089\nHAM to REN: 3030\nHAM to AVV: 17044\nHAM to NUS: 16699\nHAM to BFF: 8243\nREN to RSW: 10422\nREN to NCU: 3344\nREN to UDR: 3692\nREN to BPX: 5147\nREN to AVV: 14338\nREN to NUS: 14572\nREN to BFF: 10502\nUDR to RSW: 14027\nUDR to NCU: 2932\nUDR to BPX: 2541\nUDR to AVV: 11586\nUDR to NUS: 12240\nUDR to BFF: 14177\nBFF to RSW: 2825\nBFF to NCU: 11471\nBFF to BPX: 12732\nBFF to AVV: 14441\nBFF to NUS: 11687\nNUS to RSW: 13657\nNUS to NCU: 13557\nNUS to BPX: 9961\nNUS to AVV: 3442\nNCU to RSW: 11391\nNCU to BPX: 4387\nNCU to AVV: 13396\nAVV to RSW: 16197\nAVV to BPX: 10153\nBPX to RSW: 14578\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, LBP, STC, PPP, YAY, ESB, YUM, BIK, TEN\n- Travel distances (in kilometers) between each pair of airports:\nNQU to YUM: 5613\nNQU to TEN: 16799\nNQU to ESB: 11535\nNQU to STC: 5359\nNQU to BIK: 21902\nNQU to PPP: 17520\nNQU to LBP: 19124\nNQU to YAY: 6380\nLBP to YUM: 13697\nLBP to TEN: 3098\nLBP to ESB: 9405\nLBP to STC: 15309\nLBP to BIK: 3759\nLBP to PPP: 7477\nLBP to YAY: 16010\nSTC to YUM: 3135\nSTC to TEN: 12706\nSTC to ESB: 9777\nSTC to BIK: 18074\nSTC to PPP: 15277\nSTC to YAY: 3331\nPPP to YUM: 12809\nPPP to TEN: 8615\nPPP to ESB: 15326\nPPP to BIK: 7903\nPPP to YAY: 17882\nYAY to YUM: 5267\nYAY to TEN: 13317\nYAY to ESB: 7049\nYAY to BIK: 18837\nESB to YUM: 11452\nESB to TEN: 7409\nESB to BIK: 12063\nYUM to TEN: 11929\nYUM to BIK: 16478\nBIK to TEN: 5863\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 56330,
"style": "rule"
}
|
{
"exact_answer": 56330,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"NQU\", \"id\": 0}, {\"name\": \"LBP\", \"id\": 1}, {\"name\": \"STC\", \"id\": 2}, {\"name\": \"PPP\", \"id\": 3}, {\"name\": \"YAY\", \"id\": 4}, {\"name\": \"ESB\", \"id\": 5}, {\"name\": \"YUM\", \"id\": 6}, {\"name\": \"BIK\", \"id\": 7}, {\"name\": \"TEN\", \"id\": 8}], \"links\": [{\"weight\": 5613, \"source\": 0, \"target\": 6}, {\"weight\": 16799, \"source\": 0, \"target\": 8}, {\"weight\": 11535, \"source\": 0, \"target\": 5}, {\"weight\": 5359, \"source\": 0, \"target\": 2}, {\"weight\": 21902, \"source\": 0, \"target\": 7}, {\"weight\": 17520, \"source\": 0, \"target\": 3}, {\"weight\": 19124, \"source\": 0, \"target\": 1}, {\"weight\": 6380, \"source\": 0, \"target\": 4}, {\"weight\": 13697, \"source\": 1, \"target\": 6}, {\"weight\": 3098, \"source\": 1, \"target\": 8}, {\"weight\": 9405, \"source\": 1, \"target\": 5}, {\"weight\": 15309, \"source\": 1, \"target\": 2}, {\"weight\": 3759, \"source\": 1, \"target\": 7}, {\"weight\": 7477, \"source\": 1, \"target\": 3}, {\"weight\": 16010, \"source\": 1, \"target\": 4}, {\"weight\": 3135, \"source\": 2, \"target\": 6}, {\"weight\": 12706, \"source\": 2, \"target\": 8}, {\"weight\": 9777, \"source\": 2, \"target\": 5}, {\"weight\": 18074, \"source\": 2, \"target\": 7}, {\"weight\": 15277, \"source\": 2, \"target\": 3}, {\"weight\": 3331, \"source\": 2, \"target\": 4}, {\"weight\": 12809, \"source\": 3, \"target\": 6}, {\"weight\": 8615, \"source\": 3, \"target\": 8}, {\"weight\": 15326, \"source\": 3, \"target\": 5}, {\"weight\": 7903, \"source\": 3, \"target\": 7}, {\"weight\": 17882, \"source\": 3, \"target\": 4}, {\"weight\": 5267, \"source\": 4, \"target\": 6}, {\"weight\": 13317, \"source\": 4, \"target\": 8}, {\"weight\": 7049, \"source\": 4, \"target\": 5}, {\"weight\": 18837, \"source\": 4, \"target\": 7}, {\"weight\": 11452, \"source\": 5, \"target\": 6}, {\"weight\": 7409, \"source\": 5, \"target\": 8}, {\"weight\": 12063, \"source\": 5, \"target\": 7}, {\"weight\": 11929, \"source\": 6, \"target\": 8}, {\"weight\": 16478, \"source\": 6, \"target\": 7}, {\"weight\": 5863, \"source\": 7, \"target\": 8}]}",
"id": 865,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, LBP, STC, PPP, YAY, ESB, YUM, BIK, TEN\n- Travel distances (in kilometers) between each pair of airports:\nNQU to YUM: 5613\nNQU to TEN: 16799\nNQU to ESB: 11535\nNQU to STC: 5359\nNQU to BIK: 21902\nNQU to PPP: 17520\nNQU to LBP: 19124\nNQU to YAY: 6380\nLBP to YUM: 13697\nLBP to TEN: 3098\nLBP to ESB: 9405\nLBP to STC: 15309\nLBP to BIK: 3759\nLBP to PPP: 7477\nLBP to YAY: 16010\nSTC to YUM: 3135\nSTC to TEN: 12706\nSTC to ESB: 9777\nSTC to BIK: 18074\nSTC to PPP: 15277\nSTC to YAY: 3331\nPPP to YUM: 12809\nPPP to TEN: 8615\nPPP to ESB: 15326\nPPP to BIK: 7903\nPPP to YAY: 17882\nYAY to YUM: 5267\nYAY to TEN: 13317\nYAY to ESB: 7049\nYAY to BIK: 18837\nESB to YUM: 11452\nESB to TEN: 7409\nESB to BIK: 12063\nYUM to TEN: 11929\nYUM to BIK: 16478\nBIK to TEN: 5863\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TAM, QUV, DIR, CAN, RDV, BSG, DRV, DSN, TFN\n- Travel distances (in kilometers) between each pair of airports:\nTAM to CAN: 13953\nTAM to DSN: 12914\nTAM to RDV: 6618\nTAM to TFN: 8943\nTAM to BSG: 12271\nTAM to DIR: 14709\nTAM to QUV: 9173\nTAM to DRV: 17120\nQUV to CAN: 12185\nQUV to DSN: 11011\nQUV to RDV: 10822\nQUV to TFN: 6628\nQUV to BSG: 9564\nQUV to DIR: 10008\nQUV to DRV: 12072\nDIR to CAN: 7990\nDIR to DSN: 7771\nDIR to RDV: 16726\nDIR to TFN: 7201\nDIR to BSG: 3954\nDIR to DRV: 5323\nCAN to DSN: 1862\nCAN to RDV: 13336\nCAN to TFN: 12183\nCAN to BSG: 11650\nCAN to DRV: 4886\nRDV to DSN: 12197\nRDV to TFN: 11917\nRDV to BSG: 15683\nRDV to DRV: 17625\nBSG to DSN: 11187\nBSG to TFN: 4547\nBSG to DRV: 8955\nDRV to DSN: 5812\nDRV to TFN: 10155\nDSN to TFN: 10831\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 55188,
"style": "rule"
}
|
{
"exact_answer": 55188,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"TAM\", \"id\": 0}, {\"name\": \"QUV\", \"id\": 1}, {\"name\": \"DIR\", \"id\": 2}, {\"name\": \"CAN\", \"id\": 3}, {\"name\": \"RDV\", \"id\": 4}, {\"name\": \"BSG\", \"id\": 5}, {\"name\": \"DRV\", \"id\": 6}, {\"name\": \"DSN\", \"id\": 7}, {\"name\": \"TFN\", \"id\": 8}], \"links\": [{\"weight\": 13953, \"source\": 0, \"target\": 3}, {\"weight\": 12914, \"source\": 0, \"target\": 7}, {\"weight\": 6618, \"source\": 0, \"target\": 4}, {\"weight\": 8943, \"source\": 0, \"target\": 8}, {\"weight\": 12271, \"source\": 0, \"target\": 5}, {\"weight\": 14709, \"source\": 0, \"target\": 2}, {\"weight\": 9173, \"source\": 0, \"target\": 1}, {\"weight\": 17120, \"source\": 0, \"target\": 6}, {\"weight\": 12185, \"source\": 1, \"target\": 3}, {\"weight\": 11011, \"source\": 1, \"target\": 7}, {\"weight\": 10822, \"source\": 1, \"target\": 4}, {\"weight\": 6628, \"source\": 1, \"target\": 8}, {\"weight\": 9564, \"source\": 1, \"target\": 5}, {\"weight\": 10008, \"source\": 1, \"target\": 2}, {\"weight\": 12072, \"source\": 1, \"target\": 6}, {\"weight\": 7990, \"source\": 2, \"target\": 3}, {\"weight\": 7771, \"source\": 2, \"target\": 7}, {\"weight\": 16726, \"source\": 2, \"target\": 4}, {\"weight\": 7201, \"source\": 2, \"target\": 8}, {\"weight\": 3954, \"source\": 2, \"target\": 5}, {\"weight\": 5323, \"source\": 2, \"target\": 6}, {\"weight\": 1862, \"source\": 3, \"target\": 7}, {\"weight\": 13336, \"source\": 3, \"target\": 4}, {\"weight\": 12183, \"source\": 3, \"target\": 8}, {\"weight\": 11650, \"source\": 3, \"target\": 5}, {\"weight\": 4886, \"source\": 3, \"target\": 6}, {\"weight\": 12197, \"source\": 4, \"target\": 7}, {\"weight\": 11917, \"source\": 4, \"target\": 8}, {\"weight\": 15683, \"source\": 4, \"target\": 5}, {\"weight\": 17625, \"source\": 4, \"target\": 6}, {\"weight\": 11187, \"source\": 5, \"target\": 7}, {\"weight\": 4547, \"source\": 5, \"target\": 8}, {\"weight\": 8955, \"source\": 5, \"target\": 6}, {\"weight\": 5812, \"source\": 6, \"target\": 7}, {\"weight\": 10155, \"source\": 6, \"target\": 8}, {\"weight\": 10831, \"source\": 7, \"target\": 8}]}",
"id": 866,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TAM, QUV, DIR, CAN, RDV, BSG, DRV, DSN, TFN\n- Travel distances (in kilometers) between each pair of airports:\nTAM to CAN: 13953\nTAM to DSN: 12914\nTAM to RDV: 6618\nTAM to TFN: 8943\nTAM to BSG: 12271\nTAM to DIR: 14709\nTAM to QUV: 9173\nTAM to DRV: 17120\nQUV to CAN: 12185\nQUV to DSN: 11011\nQUV to RDV: 10822\nQUV to TFN: 6628\nQUV to BSG: 9564\nQUV to DIR: 10008\nQUV to DRV: 12072\nDIR to CAN: 7990\nDIR to DSN: 7771\nDIR to RDV: 16726\nDIR to TFN: 7201\nDIR to BSG: 3954\nDIR to DRV: 5323\nCAN to DSN: 1862\nCAN to RDV: 13336\nCAN to TFN: 12183\nCAN to BSG: 11650\nCAN to DRV: 4886\nRDV to DSN: 12197\nRDV to TFN: 11917\nRDV to BSG: 15683\nRDV to DRV: 17625\nBSG to DSN: 11187\nBSG to TFN: 4547\nBSG to DRV: 8955\nDRV to DSN: 5812\nDRV to TFN: 10155\nDSN to TFN: 10831\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: UGB, MHG, CLY, ADZ, MED, ZUM, DLG, ABE, PAZ\n- Travel distances (in kilometers) between each pair of airports:\nUGB to CLY: 11855\nUGB to ADZ: 9184\nUGB to ABE: 6184\nUGB to PAZ: 6943\nUGB to DLG: 266\nUGB to MED: 14979\nUGB to ZUM: 7342\nUGB to MHG: 11713\nMHG to CLY: 1648\nMHG to ADZ: 10334\nMHG to ABE: 7081\nMHG to PAZ: 10418\nMHG to DLG: 11626\nMHG to MED: 4304\nMHG to ZUM: 6218\nCLY to ADZ: 9652\nCLY to ABE: 6824\nCLY to PAZ: 10162\nCLY to DLG: 11768\nCLY to MED: 3816\nCLY to ZUM: 6008\nADZ to ABE: 4002\nADZ to PAZ: 3088\nADZ to DLG: 9097\nADZ to MED: 12997\nADZ to ZUM: 5681\nMED to ABE: 10280\nMED to PAZ: 13605\nMED to DLG: 14892\nMED to ZUM: 9351\nZUM to ABE: 1867\nZUM to PAZ: 5086\nZUM to DLG: 7255\nDLG to ABE: 6097\nDLG to PAZ: 6856\nABE to PAZ: 3468\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 41920,
"style": "rule"
}
|
{
"exact_answer": 41920,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"UGB\", \"id\": 0}, {\"name\": \"MHG\", \"id\": 1}, {\"name\": \"CLY\", \"id\": 2}, {\"name\": \"ADZ\", \"id\": 3}, {\"name\": \"MED\", \"id\": 4}, {\"name\": \"ZUM\", \"id\": 5}, {\"name\": \"DLG\", \"id\": 6}, {\"name\": \"ABE\", \"id\": 7}, {\"name\": \"PAZ\", \"id\": 8}], \"links\": [{\"weight\": 11855, \"source\": 0, \"target\": 2}, {\"weight\": 9184, \"source\": 0, \"target\": 3}, {\"weight\": 6184, \"source\": 0, \"target\": 7}, {\"weight\": 6943, \"source\": 0, \"target\": 8}, {\"weight\": 266, \"source\": 0, \"target\": 6}, {\"weight\": 14979, \"source\": 0, \"target\": 4}, {\"weight\": 7342, \"source\": 0, \"target\": 5}, {\"weight\": 11713, \"source\": 0, \"target\": 1}, {\"weight\": 1648, \"source\": 1, \"target\": 2}, {\"weight\": 10334, \"source\": 1, \"target\": 3}, {\"weight\": 7081, \"source\": 1, \"target\": 7}, {\"weight\": 10418, \"source\": 1, \"target\": 8}, {\"weight\": 11626, \"source\": 1, \"target\": 6}, {\"weight\": 4304, \"source\": 1, \"target\": 4}, {\"weight\": 6218, \"source\": 1, \"target\": 5}, {\"weight\": 9652, \"source\": 2, \"target\": 3}, {\"weight\": 6824, \"source\": 2, \"target\": 7}, {\"weight\": 10162, \"source\": 2, \"target\": 8}, {\"weight\": 11768, \"source\": 2, \"target\": 6}, {\"weight\": 3816, \"source\": 2, \"target\": 4}, {\"weight\": 6008, \"source\": 2, \"target\": 5}, {\"weight\": 4002, \"source\": 3, \"target\": 7}, {\"weight\": 3088, \"source\": 3, \"target\": 8}, {\"weight\": 9097, \"source\": 3, \"target\": 6}, {\"weight\": 12997, \"source\": 3, \"target\": 4}, {\"weight\": 5681, \"source\": 3, \"target\": 5}, {\"weight\": 10280, \"source\": 4, \"target\": 7}, {\"weight\": 13605, \"source\": 4, \"target\": 8}, {\"weight\": 14892, \"source\": 4, \"target\": 6}, {\"weight\": 9351, \"source\": 4, \"target\": 5}, {\"weight\": 1867, \"source\": 5, \"target\": 7}, {\"weight\": 5086, \"source\": 5, \"target\": 8}, {\"weight\": 7255, \"source\": 5, \"target\": 6}, {\"weight\": 6097, \"source\": 6, \"target\": 7}, {\"weight\": 6856, \"source\": 6, \"target\": 8}, {\"weight\": 3468, \"source\": 7, \"target\": 8}]}",
"id": 867,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: UGB, MHG, CLY, ADZ, MED, ZUM, DLG, ABE, PAZ\n- Travel distances (in kilometers) between each pair of airports:\nUGB to CLY: 11855\nUGB to ADZ: 9184\nUGB to ABE: 6184\nUGB to PAZ: 6943\nUGB to DLG: 266\nUGB to MED: 14979\nUGB to ZUM: 7342\nUGB to MHG: 11713\nMHG to CLY: 1648\nMHG to ADZ: 10334\nMHG to ABE: 7081\nMHG to PAZ: 10418\nMHG to DLG: 11626\nMHG to MED: 4304\nMHG to ZUM: 6218\nCLY to ADZ: 9652\nCLY to ABE: 6824\nCLY to PAZ: 10162\nCLY to DLG: 11768\nCLY to MED: 3816\nCLY to ZUM: 6008\nADZ to ABE: 4002\nADZ to PAZ: 3088\nADZ to DLG: 9097\nADZ to MED: 12997\nADZ to ZUM: 5681\nMED to ABE: 10280\nMED to PAZ: 13605\nMED to DLG: 14892\nMED to ZUM: 9351\nZUM to ABE: 1867\nZUM to PAZ: 5086\nZUM to DLG: 7255\nDLG to ABE: 6097\nDLG to PAZ: 6856\nABE to PAZ: 3468\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ACT, THU, AXU, ZUH, VEE, XTG, NGO, UYN, KRK\n- Travel distances (in kilometers) between each pair of airports:\nACT to ZUH: 13260\nACT to UYN: 12079\nACT to KRK: 9043\nACT to NGO: 10802\nACT to VEE: 5568\nACT to AXU: 14147\nACT to THU: 9386\nACT to XTG: 14426\nTHU to ZUH: 13400\nTHU to UYN: 12428\nTHU to KRK: 5637\nTHU to NGO: 13348\nTHU to VEE: 11712\nTHU to AXU: 11102\nTHU to XTG: 21261\nAXU to ZUH: 8683\nAXU to UYN: 8722\nAXU to KRK: 5732\nAXU to NGO: 10751\nAXU to VEE: 16877\nAXU to XTG: 15245\nZUH to UYN: 1936\nZUH to KRK: 8472\nZUH to NGO: 2727\nZUH to VEE: 13259\nZUH to XTG: 8557\nVEE to UYN: 12060\nVEE to KRK: 11490\nVEE to NGO: 10749\nVEE to XTG: 13658\nXTG to UYN: 9501\nXTG to KRK: 16344\nXTG to NGO: 8195\nNGO to UYN: 2454\nNGO to KRK: 8902\nUYN to KRK: 7609\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 61249,
"style": "rule"
}
|
{
"exact_answer": 61249,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"ACT\", \"id\": 0}, {\"name\": \"THU\", \"id\": 1}, {\"name\": \"AXU\", \"id\": 2}, {\"name\": \"ZUH\", \"id\": 3}, {\"name\": \"VEE\", \"id\": 4}, {\"name\": \"XTG\", \"id\": 5}, {\"name\": \"NGO\", \"id\": 6}, {\"name\": \"UYN\", \"id\": 7}, {\"name\": \"KRK\", \"id\": 8}], \"links\": [{\"weight\": 13260, \"source\": 0, \"target\": 3}, {\"weight\": 12079, \"source\": 0, \"target\": 7}, {\"weight\": 9043, \"source\": 0, \"target\": 8}, {\"weight\": 10802, \"source\": 0, \"target\": 6}, {\"weight\": 5568, \"source\": 0, \"target\": 4}, {\"weight\": 14147, \"source\": 0, \"target\": 2}, {\"weight\": 9386, \"source\": 0, \"target\": 1}, {\"weight\": 14426, \"source\": 0, \"target\": 5}, {\"weight\": 13400, \"source\": 1, \"target\": 3}, {\"weight\": 12428, \"source\": 1, \"target\": 7}, {\"weight\": 5637, \"source\": 1, \"target\": 8}, {\"weight\": 13348, \"source\": 1, \"target\": 6}, {\"weight\": 11712, \"source\": 1, \"target\": 4}, {\"weight\": 11102, \"source\": 1, \"target\": 2}, {\"weight\": 21261, \"source\": 1, \"target\": 5}, {\"weight\": 8683, \"source\": 2, \"target\": 3}, {\"weight\": 8722, \"source\": 2, \"target\": 7}, {\"weight\": 5732, \"source\": 2, \"target\": 8}, {\"weight\": 10751, \"source\": 2, \"target\": 6}, {\"weight\": 16877, \"source\": 2, \"target\": 4}, {\"weight\": 15245, \"source\": 2, \"target\": 5}, {\"weight\": 1936, \"source\": 3, \"target\": 7}, {\"weight\": 8472, \"source\": 3, \"target\": 8}, {\"weight\": 2727, \"source\": 3, \"target\": 6}, {\"weight\": 13259, \"source\": 3, \"target\": 4}, {\"weight\": 8557, \"source\": 3, \"target\": 5}, {\"weight\": 12060, \"source\": 4, \"target\": 7}, {\"weight\": 11490, \"source\": 4, \"target\": 8}, {\"weight\": 10749, \"source\": 4, \"target\": 6}, {\"weight\": 13658, \"source\": 4, \"target\": 5}, {\"weight\": 9501, \"source\": 5, \"target\": 7}, {\"weight\": 16344, \"source\": 5, \"target\": 8}, {\"weight\": 8195, \"source\": 5, \"target\": 6}, {\"weight\": 2454, \"source\": 6, \"target\": 7}, {\"weight\": 8902, \"source\": 6, \"target\": 8}, {\"weight\": 7609, \"source\": 7, \"target\": 8}]}",
"id": 868,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ACT, THU, AXU, ZUH, VEE, XTG, NGO, UYN, KRK\n- Travel distances (in kilometers) between each pair of airports:\nACT to ZUH: 13260\nACT to UYN: 12079\nACT to KRK: 9043\nACT to NGO: 10802\nACT to VEE: 5568\nACT to AXU: 14147\nACT to THU: 9386\nACT to XTG: 14426\nTHU to ZUH: 13400\nTHU to UYN: 12428\nTHU to KRK: 5637\nTHU to NGO: 13348\nTHU to VEE: 11712\nTHU to AXU: 11102\nTHU to XTG: 21261\nAXU to ZUH: 8683\nAXU to UYN: 8722\nAXU to KRK: 5732\nAXU to NGO: 10751\nAXU to VEE: 16877\nAXU to XTG: 15245\nZUH to UYN: 1936\nZUH to KRK: 8472\nZUH to NGO: 2727\nZUH to VEE: 13259\nZUH to XTG: 8557\nVEE to UYN: 12060\nVEE to KRK: 11490\nVEE to NGO: 10749\nVEE to XTG: 13658\nXTG to UYN: 9501\nXTG to KRK: 16344\nXTG to NGO: 8195\nNGO to UYN: 2454\nNGO to KRK: 8902\nUYN to KRK: 7609\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LVI, BTT, KER, GYN, NUL, JNS, GIG, WSZ, YIW\n- Travel distances (in kilometers) between each pair of airports:\nLVI to GYN: 9206\nLVI to GIG: 8398\nLVI to BTT: 18840\nLVI to NUL: 19036\nLVI to YIW: 11646\nLVI to KER: 6461\nLVI to JNS: 12196\nLVI to WSZ: 14481\nBTT to GYN: 13096\nBTT to GIG: 13812\nBTT to NUL: 390\nBTT to YIW: 12354\nBTT to KER: 15493\nBTT to JNS: 10464\nBTT to WSZ: 13018\nKER to GYN: 13192\nKER to GIG: 12264\nKER to NUL: 15689\nKER to YIW: 6961\nKER to JNS: 8841\nKER to WSZ: 15410\nGYN to GIG: 928\nGYN to NUL: 13292\nGYN to YIW: 18341\nGYN to JNS: 12647\nGYN to WSZ: 13826\nNUL to GIG: 14008\nNUL to YIW: 12550\nNUL to JNS: 10660\nNUL to WSZ: 13214\nJNS to GIG: 12879\nJNS to YIW: 11891\nJNS to WSZ: 19748\nGIG to YIW: 18248\nGIG to WSZ: 13338\nWSZ to YIW: 10335\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 69798,
"style": "rule"
}
|
{
"exact_answer": 69798,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"LVI\", \"id\": 0}, {\"name\": \"BTT\", \"id\": 1}, {\"name\": \"KER\", \"id\": 2}, {\"name\": \"GYN\", \"id\": 3}, {\"name\": \"NUL\", \"id\": 4}, {\"name\": \"JNS\", \"id\": 5}, {\"name\": \"GIG\", \"id\": 6}, {\"name\": \"WSZ\", \"id\": 7}, {\"name\": \"YIW\", \"id\": 8}], \"links\": [{\"weight\": 9206, \"source\": 0, \"target\": 3}, {\"weight\": 8398, \"source\": 0, \"target\": 6}, {\"weight\": 18840, \"source\": 0, \"target\": 1}, {\"weight\": 19036, \"source\": 0, \"target\": 4}, {\"weight\": 11646, \"source\": 0, \"target\": 8}, {\"weight\": 6461, \"source\": 0, \"target\": 2}, {\"weight\": 12196, \"source\": 0, \"target\": 5}, {\"weight\": 14481, \"source\": 0, \"target\": 7}, {\"weight\": 13096, \"source\": 1, \"target\": 3}, {\"weight\": 13812, \"source\": 1, \"target\": 6}, {\"weight\": 390, \"source\": 1, \"target\": 4}, {\"weight\": 12354, \"source\": 1, \"target\": 8}, {\"weight\": 15493, \"source\": 1, \"target\": 2}, {\"weight\": 10464, \"source\": 1, \"target\": 5}, {\"weight\": 13018, \"source\": 1, \"target\": 7}, {\"weight\": 13192, \"source\": 2, \"target\": 3}, {\"weight\": 12264, \"source\": 2, \"target\": 6}, {\"weight\": 15689, \"source\": 2, \"target\": 4}, {\"weight\": 6961, \"source\": 2, \"target\": 8}, {\"weight\": 8841, \"source\": 2, \"target\": 5}, {\"weight\": 15410, \"source\": 2, \"target\": 7}, {\"weight\": 928, \"source\": 3, \"target\": 6}, {\"weight\": 13292, \"source\": 3, \"target\": 4}, {\"weight\": 18341, \"source\": 3, \"target\": 8}, {\"weight\": 12647, \"source\": 3, \"target\": 5}, {\"weight\": 13826, \"source\": 3, \"target\": 7}, {\"weight\": 14008, \"source\": 4, \"target\": 6}, {\"weight\": 12550, \"source\": 4, \"target\": 8}, {\"weight\": 10660, \"source\": 4, \"target\": 5}, {\"weight\": 13214, \"source\": 4, \"target\": 7}, {\"weight\": 12879, \"source\": 5, \"target\": 6}, {\"weight\": 11891, \"source\": 5, \"target\": 8}, {\"weight\": 19748, \"source\": 5, \"target\": 7}, {\"weight\": 18248, \"source\": 6, \"target\": 8}, {\"weight\": 13338, \"source\": 6, \"target\": 7}, {\"weight\": 10335, \"source\": 7, \"target\": 8}]}",
"id": 869,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LVI, BTT, KER, GYN, NUL, JNS, GIG, WSZ, YIW\n- Travel distances (in kilometers) between each pair of airports:\nLVI to GYN: 9206\nLVI to GIG: 8398\nLVI to BTT: 18840\nLVI to NUL: 19036\nLVI to YIW: 11646\nLVI to KER: 6461\nLVI to JNS: 12196\nLVI to WSZ: 14481\nBTT to GYN: 13096\nBTT to GIG: 13812\nBTT to NUL: 390\nBTT to YIW: 12354\nBTT to KER: 15493\nBTT to JNS: 10464\nBTT to WSZ: 13018\nKER to GYN: 13192\nKER to GIG: 12264\nKER to NUL: 15689\nKER to YIW: 6961\nKER to JNS: 8841\nKER to WSZ: 15410\nGYN to GIG: 928\nGYN to NUL: 13292\nGYN to YIW: 18341\nGYN to JNS: 12647\nGYN to WSZ: 13826\nNUL to GIG: 14008\nNUL to YIW: 12550\nNUL to JNS: 10660\nNUL to WSZ: 13214\nJNS to GIG: 12879\nJNS to YIW: 11891\nJNS to WSZ: 19748\nGIG to YIW: 18248\nGIG to WSZ: 13338\nWSZ to YIW: 10335\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: HTS, GUM, TRG, SOG, ATM, CCK, MKY, TOS, LEC\n- Travel distances (in kilometers) between each pair of airports:\nHTS to TOS: 7796\nHTS to GUM: 13931\nHTS to ATM: 6147\nHTS to LEC: 7996\nHTS to MKY: 16041\nHTS to TRG: 14419\nHTS to CCK: 22448\nHTS to SOG: 6992\nGUM to TOS: 11582\nGUM to ATM: 18464\nGUM to LEC: 20426\nGUM to MKY: 3992\nGUM to TRG: 7141\nGUM to CCK: 10406\nGUM to SOG: 11254\nTRG to TOS: 18155\nTRG to ATM: 15337\nTRG to LEC: 14116\nTRG to MKY: 3236\nTRG to CCK: 9077\nTRG to SOG: 17811\nSOG to TOS: 1353\nSOG to ATM: 9806\nSOG to LEC: 9559\nSOG to MKY: 14994\nSOG to CCK: 17742\nATM to TOS: 10872\nATM to LEC: 2941\nATM to MKY: 18285\nATM to CCK: 22274\nCCK to TOS: 17918\nCCK to LEC: 21121\nCCK to MKY: 7642\nMKY to TOS: 15260\nMKY to LEC: 17064\nTOS to LEC: 10637\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 63842,
"style": "rule"
}
|
{
"exact_answer": 63842,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"HTS\", \"id\": 0}, {\"name\": \"GUM\", \"id\": 1}, {\"name\": \"TRG\", \"id\": 2}, {\"name\": \"SOG\", \"id\": 3}, {\"name\": \"ATM\", \"id\": 4}, {\"name\": \"CCK\", \"id\": 5}, {\"name\": \"MKY\", \"id\": 6}, {\"name\": \"TOS\", \"id\": 7}, {\"name\": \"LEC\", \"id\": 8}], \"links\": [{\"weight\": 7796, \"source\": 0, \"target\": 7}, {\"weight\": 13931, \"source\": 0, \"target\": 1}, {\"weight\": 6147, \"source\": 0, \"target\": 4}, {\"weight\": 7996, \"source\": 0, \"target\": 8}, {\"weight\": 16041, \"source\": 0, \"target\": 6}, {\"weight\": 14419, \"source\": 0, \"target\": 2}, {\"weight\": 22448, \"source\": 0, \"target\": 5}, {\"weight\": 6992, \"source\": 0, \"target\": 3}, {\"weight\": 11582, \"source\": 1, \"target\": 7}, {\"weight\": 18464, \"source\": 1, \"target\": 4}, {\"weight\": 20426, \"source\": 1, \"target\": 8}, {\"weight\": 3992, \"source\": 1, \"target\": 6}, {\"weight\": 7141, \"source\": 1, \"target\": 2}, {\"weight\": 10406, \"source\": 1, \"target\": 5}, {\"weight\": 11254, \"source\": 1, \"target\": 3}, {\"weight\": 18155, \"source\": 2, \"target\": 7}, {\"weight\": 15337, \"source\": 2, \"target\": 4}, {\"weight\": 14116, \"source\": 2, \"target\": 8}, {\"weight\": 3236, \"source\": 2, \"target\": 6}, {\"weight\": 9077, \"source\": 2, \"target\": 5}, {\"weight\": 17811, \"source\": 2, \"target\": 3}, {\"weight\": 1353, \"source\": 3, \"target\": 7}, {\"weight\": 9806, \"source\": 3, \"target\": 4}, {\"weight\": 9559, \"source\": 3, \"target\": 8}, {\"weight\": 14994, \"source\": 3, \"target\": 6}, {\"weight\": 17742, \"source\": 3, \"target\": 5}, {\"weight\": 10872, \"source\": 4, \"target\": 7}, {\"weight\": 2941, \"source\": 4, \"target\": 8}, {\"weight\": 18285, \"source\": 4, \"target\": 6}, {\"weight\": 22274, \"source\": 4, \"target\": 5}, {\"weight\": 17918, \"source\": 5, \"target\": 7}, {\"weight\": 21121, \"source\": 5, \"target\": 8}, {\"weight\": 7642, \"source\": 5, \"target\": 6}, {\"weight\": 15260, \"source\": 6, \"target\": 7}, {\"weight\": 17064, \"source\": 6, \"target\": 8}, {\"weight\": 10637, \"source\": 7, \"target\": 8}]}",
"id": 870,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: HTS, GUM, TRG, SOG, ATM, CCK, MKY, TOS, LEC\n- Travel distances (in kilometers) between each pair of airports:\nHTS to TOS: 7796\nHTS to GUM: 13931\nHTS to ATM: 6147\nHTS to LEC: 7996\nHTS to MKY: 16041\nHTS to TRG: 14419\nHTS to CCK: 22448\nHTS to SOG: 6992\nGUM to TOS: 11582\nGUM to ATM: 18464\nGUM to LEC: 20426\nGUM to MKY: 3992\nGUM to TRG: 7141\nGUM to CCK: 10406\nGUM to SOG: 11254\nTRG to TOS: 18155\nTRG to ATM: 15337\nTRG to LEC: 14116\nTRG to MKY: 3236\nTRG to CCK: 9077\nTRG to SOG: 17811\nSOG to TOS: 1353\nSOG to ATM: 9806\nSOG to LEC: 9559\nSOG to MKY: 14994\nSOG to CCK: 17742\nATM to TOS: 10872\nATM to LEC: 2941\nATM to MKY: 18285\nATM to CCK: 22274\nCCK to TOS: 17918\nCCK to LEC: 21121\nCCK to MKY: 7642\nMKY to TOS: 15260\nMKY to LEC: 17064\nTOS to LEC: 10637\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: KIT, JNB, RJK, LED, FLA, PUQ, WLH, VCT, REX\n- Travel distances (in kilometers) between each pair of airports:\nKIT to LED: 2672\nKIT to REX: 11692\nKIT to RJK: 1322\nKIT to JNB: 7571\nKIT to FLA: 10905\nKIT to PUQ: 14637\nKIT to VCT: 10462\nKIT to WLH: 16833\nJNB to LED: 9559\nJNB to REX: 15242\nJNB to RJK: 8493\nJNB to FLA: 12154\nJNB to PUQ: 11406\nJNB to VCT: 14885\nJNB to WLH: 13792\nRJK to LED: 1967\nRJK to REX: 10548\nRJK to FLA: 10072\nRJK to PUQ: 14014\nRJK to VCT: 9265\nRJK to WLH: 17182\nLED to REX: 10693\nLED to FLA: 10744\nLED to PUQ: 15489\nLED to VCT: 9170\nLED to WLH: 15544\nFLA to REX: 3939\nFLA to PUQ: 6810\nFLA to VCT: 4162\nFLA to WLH: 16158\nPUQ to REX: 9511\nPUQ to VCT: 9900\nPUQ to WLH: 14391\nWLH to REX: 13083\nWLH to VCT: 12588\nVCT to REX: 2163\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 61125,
"style": "rule"
}
|
{
"exact_answer": 61125,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"KIT\", \"id\": 0}, {\"name\": \"JNB\", \"id\": 1}, {\"name\": \"RJK\", \"id\": 2}, {\"name\": \"LED\", \"id\": 3}, {\"name\": \"FLA\", \"id\": 4}, {\"name\": \"PUQ\", \"id\": 5}, {\"name\": \"WLH\", \"id\": 6}, {\"name\": \"VCT\", \"id\": 7}, {\"name\": \"REX\", \"id\": 8}], \"links\": [{\"weight\": 2672, \"source\": 0, \"target\": 3}, {\"weight\": 11692, \"source\": 0, \"target\": 8}, {\"weight\": 1322, \"source\": 0, \"target\": 2}, {\"weight\": 7571, \"source\": 0, \"target\": 1}, {\"weight\": 10905, \"source\": 0, \"target\": 4}, {\"weight\": 14637, \"source\": 0, \"target\": 5}, {\"weight\": 10462, \"source\": 0, \"target\": 7}, {\"weight\": 16833, \"source\": 0, \"target\": 6}, {\"weight\": 9559, \"source\": 1, \"target\": 3}, {\"weight\": 15242, \"source\": 1, \"target\": 8}, {\"weight\": 8493, \"source\": 1, \"target\": 2}, {\"weight\": 12154, \"source\": 1, \"target\": 4}, {\"weight\": 11406, \"source\": 1, \"target\": 5}, {\"weight\": 14885, \"source\": 1, \"target\": 7}, {\"weight\": 13792, \"source\": 1, \"target\": 6}, {\"weight\": 1967, \"source\": 2, \"target\": 3}, {\"weight\": 10548, \"source\": 2, \"target\": 8}, {\"weight\": 10072, \"source\": 2, \"target\": 4}, {\"weight\": 14014, \"source\": 2, \"target\": 5}, {\"weight\": 9265, \"source\": 2, \"target\": 7}, {\"weight\": 17182, \"source\": 2, \"target\": 6}, {\"weight\": 10693, \"source\": 3, \"target\": 8}, {\"weight\": 10744, \"source\": 3, \"target\": 4}, {\"weight\": 15489, \"source\": 3, \"target\": 5}, {\"weight\": 9170, \"source\": 3, \"target\": 7}, {\"weight\": 15544, \"source\": 3, \"target\": 6}, {\"weight\": 3939, \"source\": 4, \"target\": 8}, {\"weight\": 6810, \"source\": 4, \"target\": 5}, {\"weight\": 4162, \"source\": 4, \"target\": 7}, {\"weight\": 16158, \"source\": 4, \"target\": 6}, {\"weight\": 9511, \"source\": 5, \"target\": 8}, {\"weight\": 9900, \"source\": 5, \"target\": 7}, {\"weight\": 14391, \"source\": 5, \"target\": 6}, {\"weight\": 13083, \"source\": 6, \"target\": 8}, {\"weight\": 12588, \"source\": 6, \"target\": 7}, {\"weight\": 2163, \"source\": 7, \"target\": 8}]}",
"id": 871,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: KIT, JNB, RJK, LED, FLA, PUQ, WLH, VCT, REX\n- Travel distances (in kilometers) between each pair of airports:\nKIT to LED: 2672\nKIT to REX: 11692\nKIT to RJK: 1322\nKIT to JNB: 7571\nKIT to FLA: 10905\nKIT to PUQ: 14637\nKIT to VCT: 10462\nKIT to WLH: 16833\nJNB to LED: 9559\nJNB to REX: 15242\nJNB to RJK: 8493\nJNB to FLA: 12154\nJNB to PUQ: 11406\nJNB to VCT: 14885\nJNB to WLH: 13792\nRJK to LED: 1967\nRJK to REX: 10548\nRJK to FLA: 10072\nRJK to PUQ: 14014\nRJK to VCT: 9265\nRJK to WLH: 17182\nLED to REX: 10693\nLED to FLA: 10744\nLED to PUQ: 15489\nLED to VCT: 9170\nLED to WLH: 15544\nFLA to REX: 3939\nFLA to PUQ: 6810\nFLA to VCT: 4162\nFLA to WLH: 16158\nPUQ to REX: 9511\nPUQ to VCT: 9900\nPUQ to WLH: 14391\nWLH to REX: 13083\nWLH to VCT: 12588\nVCT to REX: 2163\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BGW, CKB, UIH, ITO, URT, ORU, SLC, LUM, BQK\n- Travel distances (in kilometers) between each pair of airports:\nBGW to LUM: 6556\nBGW to ORU: 13663\nBGW to SLC: 11974\nBGW to BQK: 11247\nBGW to URT: 6827\nBGW to CKB: 10248\nBGW to ITO: 15275\nBGW to UIH: 7442\nCKB to LUM: 13779\nCKB to ORU: 6746\nCKB to SLC: 3176\nCKB to BQK: 1483\nCKB to URT: 15205\nCKB to ITO: 7852\nCKB to UIH: 14565\nUIH to LUM: 2211\nUIH to ORU: 19702\nUIH to SLC: 12983\nUIH to BQK: 15131\nUIH to URT: 1683\nUIH to ITO: 10911\nITO to LUM: 10679\nITO to ORU: 12088\nITO to SLC: 4886\nITO to BQK: 7445\nITO to URT: 11515\nURT to LUM: 2238\nURT to ORU: 18983\nURT to SLC: 13623\nURT to BQK: 15771\nORU to LUM: 19438\nORU to SLC: 8300\nORU to BQK: 6566\nSLC to LUM: 12197\nSLC to BQK: 2935\nLUM to BQK: 14345\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 51101,
"style": "rule"
}
|
{
"exact_answer": 51101,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"BGW\", \"id\": 0}, {\"name\": \"CKB\", \"id\": 1}, {\"name\": \"UIH\", \"id\": 2}, {\"name\": \"ITO\", \"id\": 3}, {\"name\": \"URT\", \"id\": 4}, {\"name\": \"ORU\", \"id\": 5}, {\"name\": \"SLC\", \"id\": 6}, {\"name\": \"LUM\", \"id\": 7}, {\"name\": \"BQK\", \"id\": 8}], \"links\": [{\"weight\": 6556, \"source\": 0, \"target\": 7}, {\"weight\": 13663, \"source\": 0, \"target\": 5}, {\"weight\": 11974, \"source\": 0, \"target\": 6}, {\"weight\": 11247, \"source\": 0, \"target\": 8}, {\"weight\": 6827, \"source\": 0, \"target\": 4}, {\"weight\": 10248, \"source\": 0, \"target\": 1}, {\"weight\": 15275, \"source\": 0, \"target\": 3}, {\"weight\": 7442, \"source\": 0, \"target\": 2}, {\"weight\": 13779, \"source\": 1, \"target\": 7}, {\"weight\": 6746, \"source\": 1, \"target\": 5}, {\"weight\": 3176, \"source\": 1, \"target\": 6}, {\"weight\": 1483, \"source\": 1, \"target\": 8}, {\"weight\": 15205, \"source\": 1, \"target\": 4}, {\"weight\": 7852, \"source\": 1, \"target\": 3}, {\"weight\": 14565, \"source\": 1, \"target\": 2}, {\"weight\": 2211, \"source\": 2, \"target\": 7}, {\"weight\": 19702, \"source\": 2, \"target\": 5}, {\"weight\": 12983, \"source\": 2, \"target\": 6}, {\"weight\": 15131, \"source\": 2, \"target\": 8}, {\"weight\": 1683, \"source\": 2, \"target\": 4}, {\"weight\": 10911, \"source\": 2, \"target\": 3}, {\"weight\": 10679, \"source\": 3, \"target\": 7}, {\"weight\": 12088, \"source\": 3, \"target\": 5}, {\"weight\": 4886, \"source\": 3, \"target\": 6}, {\"weight\": 7445, \"source\": 3, \"target\": 8}, {\"weight\": 11515, \"source\": 3, \"target\": 4}, {\"weight\": 2238, \"source\": 4, \"target\": 7}, {\"weight\": 18983, \"source\": 4, \"target\": 5}, {\"weight\": 13623, \"source\": 4, \"target\": 6}, {\"weight\": 15771, \"source\": 4, \"target\": 8}, {\"weight\": 19438, \"source\": 5, \"target\": 7}, {\"weight\": 8300, \"source\": 5, \"target\": 6}, {\"weight\": 6566, \"source\": 5, \"target\": 8}, {\"weight\": 12197, \"source\": 6, \"target\": 7}, {\"weight\": 2935, \"source\": 6, \"target\": 8}, {\"weight\": 14345, \"source\": 7, \"target\": 8}]}",
"id": 872,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BGW, CKB, UIH, ITO, URT, ORU, SLC, LUM, BQK\n- Travel distances (in kilometers) between each pair of airports:\nBGW to LUM: 6556\nBGW to ORU: 13663\nBGW to SLC: 11974\nBGW to BQK: 11247\nBGW to URT: 6827\nBGW to CKB: 10248\nBGW to ITO: 15275\nBGW to UIH: 7442\nCKB to LUM: 13779\nCKB to ORU: 6746\nCKB to SLC: 3176\nCKB to BQK: 1483\nCKB to URT: 15205\nCKB to ITO: 7852\nCKB to UIH: 14565\nUIH to LUM: 2211\nUIH to ORU: 19702\nUIH to SLC: 12983\nUIH to BQK: 15131\nUIH to URT: 1683\nUIH to ITO: 10911\nITO to LUM: 10679\nITO to ORU: 12088\nITO to SLC: 4886\nITO to BQK: 7445\nITO to URT: 11515\nURT to LUM: 2238\nURT to ORU: 18983\nURT to SLC: 13623\nURT to BQK: 15771\nORU to LUM: 19438\nORU to SLC: 8300\nORU to BQK: 6566\nSLC to LUM: 12197\nSLC to BQK: 2935\nLUM to BQK: 14345\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BHV, UTT, VIL, BFN, CLD, THD, BAH, PNL, LAR\n- Travel distances (in kilometers) between each pair of airports:\nBHV to BAH: 2331\nBHV to VIL: 9103\nBHV to PNL: 6092\nBHV to BFN: 8365\nBHV to UTT: 8588\nBHV to CLD: 14250\nBHV to LAR: 13470\nBHV to THD: 5409\nUTT to BAH: 6917\nUTT to VIL: 9119\nUTT to PNL: 9045\nUTT to BFN: 983\nUTT to CLD: 17447\nUTT to LAR: 16224\nUTT to THD: 11168\nVIL to BAH: 6953\nVIL to PNL: 3484\nVIL to BFN: 8896\nVIL to CLD: 10144\nVIL to LAR: 8805\nVIL to THD: 13877\nBFN to BAH: 6694\nBFN to PNL: 8822\nBFN to CLD: 17224\nBFN to LAR: 16001\nBFN to THD: 10840\nCLD to BAH: 13424\nCLD to PNL: 10846\nCLD to LAR: 1705\nCLD to THD: 14270\nTHD to BAH: 7105\nTHD to PNL: 10866\nTHD to LAR: 14734\nBAH to PNL: 4039\nBAH to LAR: 12547\nPNL to LAR: 9631\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 52726,
"style": "rule"
}
|
{
"exact_answer": 52726,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"BHV\", \"id\": 0}, {\"name\": \"UTT\", \"id\": 1}, {\"name\": \"VIL\", \"id\": 2}, {\"name\": \"BFN\", \"id\": 3}, {\"name\": \"CLD\", \"id\": 4}, {\"name\": \"THD\", \"id\": 5}, {\"name\": \"BAH\", \"id\": 6}, {\"name\": \"PNL\", \"id\": 7}, {\"name\": \"LAR\", \"id\": 8}], \"links\": [{\"weight\": 2331, \"source\": 0, \"target\": 6}, {\"weight\": 9103, \"source\": 0, \"target\": 2}, {\"weight\": 6092, \"source\": 0, \"target\": 7}, {\"weight\": 8365, \"source\": 0, \"target\": 3}, {\"weight\": 8588, \"source\": 0, \"target\": 1}, {\"weight\": 14250, \"source\": 0, \"target\": 4}, {\"weight\": 13470, \"source\": 0, \"target\": 8}, {\"weight\": 5409, \"source\": 0, \"target\": 5}, {\"weight\": 6917, \"source\": 1, \"target\": 6}, {\"weight\": 9119, \"source\": 1, \"target\": 2}, {\"weight\": 9045, \"source\": 1, \"target\": 7}, {\"weight\": 983, \"source\": 1, \"target\": 3}, {\"weight\": 17447, \"source\": 1, \"target\": 4}, {\"weight\": 16224, \"source\": 1, \"target\": 8}, {\"weight\": 11168, \"source\": 1, \"target\": 5}, {\"weight\": 6953, \"source\": 2, \"target\": 6}, {\"weight\": 3484, \"source\": 2, \"target\": 7}, {\"weight\": 8896, \"source\": 2, \"target\": 3}, {\"weight\": 10144, \"source\": 2, \"target\": 4}, {\"weight\": 8805, \"source\": 2, \"target\": 8}, {\"weight\": 13877, \"source\": 2, \"target\": 5}, {\"weight\": 6694, \"source\": 3, \"target\": 6}, {\"weight\": 8822, \"source\": 3, \"target\": 7}, {\"weight\": 17224, \"source\": 3, \"target\": 4}, {\"weight\": 16001, \"source\": 3, \"target\": 8}, {\"weight\": 10840, \"source\": 3, \"target\": 5}, {\"weight\": 13424, \"source\": 4, \"target\": 6}, {\"weight\": 10846, \"source\": 4, \"target\": 7}, {\"weight\": 1705, \"source\": 4, \"target\": 8}, {\"weight\": 14270, \"source\": 4, \"target\": 5}, {\"weight\": 7105, \"source\": 5, \"target\": 6}, {\"weight\": 10866, \"source\": 5, \"target\": 7}, {\"weight\": 14734, \"source\": 5, \"target\": 8}, {\"weight\": 4039, \"source\": 6, \"target\": 7}, {\"weight\": 12547, \"source\": 6, \"target\": 8}, {\"weight\": 9631, \"source\": 7, \"target\": 8}]}",
"id": 873,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BHV, UTT, VIL, BFN, CLD, THD, BAH, PNL, LAR\n- Travel distances (in kilometers) between each pair of airports:\nBHV to BAH: 2331\nBHV to VIL: 9103\nBHV to PNL: 6092\nBHV to BFN: 8365\nBHV to UTT: 8588\nBHV to CLD: 14250\nBHV to LAR: 13470\nBHV to THD: 5409\nUTT to BAH: 6917\nUTT to VIL: 9119\nUTT to PNL: 9045\nUTT to BFN: 983\nUTT to CLD: 17447\nUTT to LAR: 16224\nUTT to THD: 11168\nVIL to BAH: 6953\nVIL to PNL: 3484\nVIL to BFN: 8896\nVIL to CLD: 10144\nVIL to LAR: 8805\nVIL to THD: 13877\nBFN to BAH: 6694\nBFN to PNL: 8822\nBFN to CLD: 17224\nBFN to LAR: 16001\nBFN to THD: 10840\nCLD to BAH: 13424\nCLD to PNL: 10846\nCLD to LAR: 1705\nCLD to THD: 14270\nTHD to BAH: 7105\nTHD to PNL: 10866\nTHD to LAR: 14734\nBAH to PNL: 4039\nBAH to LAR: 12547\nPNL to LAR: 9631\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: RZE, JAI, LLA, NYT, YVR, RVT, SLP, YEG, NAQ\n- Travel distances (in kilometers) between each pair of airports:\nRZE to YVR: 8774\nRZE to YEG: 7965\nRZE to JAI: 5810\nRZE to SLP: 10257\nRZE to LLA: 1782\nRZE to NAQ: 5656\nRZE to NYT: 8720\nRZE to RVT: 13881\nJAI to YVR: 12532\nJAI to YEG: 12820\nJAI to SLP: 14766\nJAI to LLA: 6501\nJAI to NAQ: 10822\nJAI to NYT: 3703\nJAI to RVT: 8576\nLLA to YVR: 8561\nLLA to YEG: 7752\nLLA to SLP: 10057\nLLA to NAQ: 5868\nLLA to NYT: 9236\nLLA to RVT: 14664\nNYT to YVR: 11505\nNYT to YEG: 12314\nNYT to SLP: 15454\nNYT to NAQ: 13620\nNYT to RVT: 6588\nYVR to YEG: 809\nYVR to SLP: 4056\nYVR to NAQ: 8767\nYVR to RVT: 15957\nRVT to YEG: 16766\nRVT to SLP: 18424\nRVT to NAQ: 19045\nSLP to YEG: 3865\nSLP to NAQ: 10290\nYEG to NAQ: 7958\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 54672,
"style": "rule"
}
|
{
"exact_answer": 54672,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"RZE\", \"id\": 0}, {\"name\": \"JAI\", \"id\": 1}, {\"name\": \"LLA\", \"id\": 2}, {\"name\": \"NYT\", \"id\": 3}, {\"name\": \"YVR\", \"id\": 4}, {\"name\": \"RVT\", \"id\": 5}, {\"name\": \"SLP\", \"id\": 6}, {\"name\": \"YEG\", \"id\": 7}, {\"name\": \"NAQ\", \"id\": 8}], \"links\": [{\"weight\": 8774, \"source\": 0, \"target\": 4}, {\"weight\": 7965, \"source\": 0, \"target\": 7}, {\"weight\": 5810, \"source\": 0, \"target\": 1}, {\"weight\": 10257, \"source\": 0, \"target\": 6}, {\"weight\": 1782, \"source\": 0, \"target\": 2}, {\"weight\": 5656, \"source\": 0, \"target\": 8}, {\"weight\": 8720, \"source\": 0, \"target\": 3}, {\"weight\": 13881, \"source\": 0, \"target\": 5}, {\"weight\": 12532, \"source\": 1, \"target\": 4}, {\"weight\": 12820, \"source\": 1, \"target\": 7}, {\"weight\": 14766, \"source\": 1, \"target\": 6}, {\"weight\": 6501, \"source\": 1, \"target\": 2}, {\"weight\": 10822, \"source\": 1, \"target\": 8}, {\"weight\": 3703, \"source\": 1, \"target\": 3}, {\"weight\": 8576, \"source\": 1, \"target\": 5}, {\"weight\": 8561, \"source\": 2, \"target\": 4}, {\"weight\": 7752, \"source\": 2, \"target\": 7}, {\"weight\": 10057, \"source\": 2, \"target\": 6}, {\"weight\": 5868, \"source\": 2, \"target\": 8}, {\"weight\": 9236, \"source\": 2, \"target\": 3}, {\"weight\": 14664, \"source\": 2, \"target\": 5}, {\"weight\": 11505, \"source\": 3, \"target\": 4}, {\"weight\": 12314, \"source\": 3, \"target\": 7}, {\"weight\": 15454, \"source\": 3, \"target\": 6}, {\"weight\": 13620, \"source\": 3, \"target\": 8}, {\"weight\": 6588, \"source\": 3, \"target\": 5}, {\"weight\": 809, \"source\": 4, \"target\": 7}, {\"weight\": 4056, \"source\": 4, \"target\": 6}, {\"weight\": 8767, \"source\": 4, \"target\": 8}, {\"weight\": 15957, \"source\": 4, \"target\": 5}, {\"weight\": 16766, \"source\": 5, \"target\": 7}, {\"weight\": 18424, \"source\": 5, \"target\": 6}, {\"weight\": 19045, \"source\": 5, \"target\": 8}, {\"weight\": 3865, \"source\": 6, \"target\": 7}, {\"weight\": 10290, \"source\": 6, \"target\": 8}, {\"weight\": 7958, \"source\": 7, \"target\": 8}]}",
"id": 874,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: RZE, JAI, LLA, NYT, YVR, RVT, SLP, YEG, NAQ\n- Travel distances (in kilometers) between each pair of airports:\nRZE to YVR: 8774\nRZE to YEG: 7965\nRZE to JAI: 5810\nRZE to SLP: 10257\nRZE to LLA: 1782\nRZE to NAQ: 5656\nRZE to NYT: 8720\nRZE to RVT: 13881\nJAI to YVR: 12532\nJAI to YEG: 12820\nJAI to SLP: 14766\nJAI to LLA: 6501\nJAI to NAQ: 10822\nJAI to NYT: 3703\nJAI to RVT: 8576\nLLA to YVR: 8561\nLLA to YEG: 7752\nLLA to SLP: 10057\nLLA to NAQ: 5868\nLLA to NYT: 9236\nLLA to RVT: 14664\nNYT to YVR: 11505\nNYT to YEG: 12314\nNYT to SLP: 15454\nNYT to NAQ: 13620\nNYT to RVT: 6588\nYVR to YEG: 809\nYVR to SLP: 4056\nYVR to NAQ: 8767\nYVR to RVT: 15957\nRVT to YEG: 16766\nRVT to SLP: 18424\nRVT to NAQ: 19045\nSLP to YEG: 3865\nSLP to NAQ: 10290\nYEG to NAQ: 7958\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: DCA, KSC, EEK, XCH, BKW, NAG, NKC, CSX, LAR\n- Travel distances (in kilometers) between each pair of airports:\nDCA to CSX: 12496\nDCA to EEK: 6238\nDCA to NAG: 12935\nDCA to NKC: 6867\nDCA to KSC: 7420\nDCA to BKW: 751\nDCA to LAR: 2551\nDCA to XCH: 21461\nKSC to CSX: 8619\nKSC to EEK: 12092\nKSC to NAG: 6749\nKSC to NKC: 4834\nKSC to BKW: 7784\nKSC to LAR: 9162\nKSC to XCH: 16225\nEEK to CSX: 12994\nEEK to NAG: 16281\nEEK to NKC: 12921\nEEK to BKW: 6546\nEEK to LAR: 4747\nEEK to XCH: 18947\nXCH to CSX: 9303\nXCH to NAG: 10123\nXCH to NKC: 17801\nXCH to BKW: 21769\nXCH to LAR: 19319\nBKW to CSX: 12814\nBKW to NAG: 13301\nBKW to NKC: 7151\nBKW to LAR: 2857\nNAG to CSX: 3561\nNAG to NKC: 10202\nNAG to LAR: 14428\nNKC to CSX: 12561\nNKC to LAR: 9317\nCSX to LAR: 11734\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 58594,
"style": "rule"
}
|
{
"exact_answer": 58594,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"DCA\", \"id\": 0}, {\"name\": \"KSC\", \"id\": 1}, {\"name\": \"EEK\", \"id\": 2}, {\"name\": \"XCH\", \"id\": 3}, {\"name\": \"BKW\", \"id\": 4}, {\"name\": \"NAG\", \"id\": 5}, {\"name\": \"NKC\", \"id\": 6}, {\"name\": \"CSX\", \"id\": 7}, {\"name\": \"LAR\", \"id\": 8}], \"links\": [{\"weight\": 12496, \"source\": 0, \"target\": 7}, {\"weight\": 6238, \"source\": 0, \"target\": 2}, {\"weight\": 12935, \"source\": 0, \"target\": 5}, {\"weight\": 6867, \"source\": 0, \"target\": 6}, {\"weight\": 7420, \"source\": 0, \"target\": 1}, {\"weight\": 751, \"source\": 0, \"target\": 4}, {\"weight\": 2551, \"source\": 0, \"target\": 8}, {\"weight\": 21461, \"source\": 0, \"target\": 3}, {\"weight\": 8619, \"source\": 1, \"target\": 7}, {\"weight\": 12092, \"source\": 1, \"target\": 2}, {\"weight\": 6749, \"source\": 1, \"target\": 5}, {\"weight\": 4834, \"source\": 1, \"target\": 6}, {\"weight\": 7784, \"source\": 1, \"target\": 4}, {\"weight\": 9162, \"source\": 1, \"target\": 8}, {\"weight\": 16225, \"source\": 1, \"target\": 3}, {\"weight\": 12994, \"source\": 2, \"target\": 7}, {\"weight\": 16281, \"source\": 2, \"target\": 5}, {\"weight\": 12921, \"source\": 2, \"target\": 6}, {\"weight\": 6546, \"source\": 2, \"target\": 4}, {\"weight\": 4747, \"source\": 2, \"target\": 8}, {\"weight\": 18947, \"source\": 2, \"target\": 3}, {\"weight\": 9303, \"source\": 3, \"target\": 7}, {\"weight\": 10123, \"source\": 3, \"target\": 5}, {\"weight\": 17801, \"source\": 3, \"target\": 6}, {\"weight\": 21769, \"source\": 3, \"target\": 4}, {\"weight\": 19319, \"source\": 3, \"target\": 8}, {\"weight\": 12814, \"source\": 4, \"target\": 7}, {\"weight\": 13301, \"source\": 4, \"target\": 5}, {\"weight\": 7151, \"source\": 4, \"target\": 6}, {\"weight\": 2857, \"source\": 4, \"target\": 8}, {\"weight\": 3561, \"source\": 5, \"target\": 7}, {\"weight\": 10202, \"source\": 5, \"target\": 6}, {\"weight\": 14428, \"source\": 5, \"target\": 8}, {\"weight\": 12561, \"source\": 6, \"target\": 7}, {\"weight\": 9317, \"source\": 6, \"target\": 8}, {\"weight\": 11734, \"source\": 7, \"target\": 8}]}",
"id": 875,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: DCA, KSC, EEK, XCH, BKW, NAG, NKC, CSX, LAR\n- Travel distances (in kilometers) between each pair of airports:\nDCA to CSX: 12496\nDCA to EEK: 6238\nDCA to NAG: 12935\nDCA to NKC: 6867\nDCA to KSC: 7420\nDCA to BKW: 751\nDCA to LAR: 2551\nDCA to XCH: 21461\nKSC to CSX: 8619\nKSC to EEK: 12092\nKSC to NAG: 6749\nKSC to NKC: 4834\nKSC to BKW: 7784\nKSC to LAR: 9162\nKSC to XCH: 16225\nEEK to CSX: 12994\nEEK to NAG: 16281\nEEK to NKC: 12921\nEEK to BKW: 6546\nEEK to LAR: 4747\nEEK to XCH: 18947\nXCH to CSX: 9303\nXCH to NAG: 10123\nXCH to NKC: 17801\nXCH to BKW: 21769\nXCH to LAR: 19319\nBKW to CSX: 12814\nBKW to NAG: 13301\nBKW to NKC: 7151\nBKW to LAR: 2857\nNAG to CSX: 3561\nNAG to NKC: 10202\nNAG to LAR: 14428\nNKC to CSX: 12561\nNKC to LAR: 9317\nCSX to LAR: 11734\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TGR, MAU, RCH, DLE, OIA, ALB, RAP, HNL, VDB\n- Travel distances (in kilometers) between each pair of airports:\nTGR to ALB: 6910\nTGR to HNL: 14071\nTGR to RAP: 9065\nTGR to RCH: 9885\nTGR to DLE: 2937\nTGR to VDB: 3286\nTGR to OIA: 8368\nTGR to MAU: 17508\nMAU to ALB: 10878\nMAU to HNL: 4722\nMAU to RAP: 8652\nMAU to RCH: 13287\nMAU to DLE: 17348\nMAU to VDB: 15938\nMAU to OIA: 13187\nRCH to ALB: 5001\nRCH to HNL: 10459\nRCH to RAP: 6047\nRCH to DLE: 9690\nRCH to VDB: 10459\nRCH to OIA: 4968\nDLE to ALB: 6852\nDLE to HNL: 14387\nDLE to RAP: 8811\nDLE to VDB: 3932\nDLE to OIA: 8685\nOIA to ALB: 6340\nOIA to HNL: 13032\nOIA to RAP: 8192\nOIA to VDB: 10090\nALB to HNL: 7967\nALB to RAP: 2357\nALB to VDB: 6019\nRAP to HNL: 5628\nRAP to VDB: 7956\nHNL to VDB: 11996\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 51889,
"style": "rule"
}
|
{
"exact_answer": 51889,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"TGR\", \"id\": 0}, {\"name\": \"MAU\", \"id\": 1}, {\"name\": \"RCH\", \"id\": 2}, {\"name\": \"DLE\", \"id\": 3}, {\"name\": \"OIA\", \"id\": 4}, {\"name\": \"ALB\", \"id\": 5}, {\"name\": \"RAP\", \"id\": 6}, {\"name\": \"HNL\", \"id\": 7}, {\"name\": \"VDB\", \"id\": 8}], \"links\": [{\"weight\": 6910, \"source\": 0, \"target\": 5}, {\"weight\": 14071, \"source\": 0, \"target\": 7}, {\"weight\": 9065, \"source\": 0, \"target\": 6}, {\"weight\": 9885, \"source\": 0, \"target\": 2}, {\"weight\": 2937, \"source\": 0, \"target\": 3}, {\"weight\": 3286, \"source\": 0, \"target\": 8}, {\"weight\": 8368, \"source\": 0, \"target\": 4}, {\"weight\": 17508, \"source\": 0, \"target\": 1}, {\"weight\": 10878, \"source\": 1, \"target\": 5}, {\"weight\": 4722, \"source\": 1, \"target\": 7}, {\"weight\": 8652, \"source\": 1, \"target\": 6}, {\"weight\": 13287, \"source\": 1, \"target\": 2}, {\"weight\": 17348, \"source\": 1, \"target\": 3}, {\"weight\": 15938, \"source\": 1, \"target\": 8}, {\"weight\": 13187, \"source\": 1, \"target\": 4}, {\"weight\": 5001, \"source\": 2, \"target\": 5}, {\"weight\": 10459, \"source\": 2, \"target\": 7}, {\"weight\": 6047, \"source\": 2, \"target\": 6}, {\"weight\": 9690, \"source\": 2, \"target\": 3}, {\"weight\": 10459, \"source\": 2, \"target\": 8}, {\"weight\": 4968, \"source\": 2, \"target\": 4}, {\"weight\": 6852, \"source\": 3, \"target\": 5}, {\"weight\": 14387, \"source\": 3, \"target\": 7}, {\"weight\": 8811, \"source\": 3, \"target\": 6}, {\"weight\": 3932, \"source\": 3, \"target\": 8}, {\"weight\": 8685, \"source\": 3, \"target\": 4}, {\"weight\": 6340, \"source\": 4, \"target\": 5}, {\"weight\": 13032, \"source\": 4, \"target\": 7}, {\"weight\": 8192, \"source\": 4, \"target\": 6}, {\"weight\": 10090, \"source\": 4, \"target\": 8}, {\"weight\": 7967, \"source\": 5, \"target\": 7}, {\"weight\": 2357, \"source\": 5, \"target\": 6}, {\"weight\": 6019, \"source\": 5, \"target\": 8}, {\"weight\": 5628, \"source\": 6, \"target\": 7}, {\"weight\": 7956, \"source\": 6, \"target\": 8}, {\"weight\": 11996, \"source\": 7, \"target\": 8}]}",
"id": 876,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TGR, MAU, RCH, DLE, OIA, ALB, RAP, HNL, VDB\n- Travel distances (in kilometers) between each pair of airports:\nTGR to ALB: 6910\nTGR to HNL: 14071\nTGR to RAP: 9065\nTGR to RCH: 9885\nTGR to DLE: 2937\nTGR to VDB: 3286\nTGR to OIA: 8368\nTGR to MAU: 17508\nMAU to ALB: 10878\nMAU to HNL: 4722\nMAU to RAP: 8652\nMAU to RCH: 13287\nMAU to DLE: 17348\nMAU to VDB: 15938\nMAU to OIA: 13187\nRCH to ALB: 5001\nRCH to HNL: 10459\nRCH to RAP: 6047\nRCH to DLE: 9690\nRCH to VDB: 10459\nRCH to OIA: 4968\nDLE to ALB: 6852\nDLE to HNL: 14387\nDLE to RAP: 8811\nDLE to VDB: 3932\nDLE to OIA: 8685\nOIA to ALB: 6340\nOIA to HNL: 13032\nOIA to RAP: 8192\nOIA to VDB: 10090\nALB to HNL: 7967\nALB to RAP: 2357\nALB to VDB: 6019\nRAP to HNL: 5628\nRAP to VDB: 7956\nHNL to VDB: 11996\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BZR, MGH, NLK, HJR, WNA, MDL, VDB, DIJ, MYA\n- Travel distances (in kilometers) between each pair of airports:\nBZR to WNA: 11609\nBZR to MGH: 10560\nBZR to MDL: 10198\nBZR to HJR: 8297\nBZR to VDB: 2184\nBZR to NLK: 18572\nBZR to DIJ: 2358\nBZR to MYA: 17788\nMGH to WNA: 19737\nMGH to MDL: 10583\nMGH to HJR: 8886\nMGH to VDB: 10457\nMGH to NLK: 13264\nMGH to DIJ: 9734\nMGH to MYA: 11824\nNLK to WNA: 13304\nNLK to MDL: 9746\nNLK to HJR: 11309\nNLK to VDB: 17114\nNLK to DIJ: 18885\nNLK to MYA: 1914\nHJR to WNA: 15505\nHJR to MDL: 2510\nHJR to VDB: 7070\nHJR to DIJ: 8251\nHJR to MYA: 10338\nWNA to MDL: 14550\nWNA to VDB: 10700\nWNA to DIJ: 12015\nWNA to MYA: 13532\nMDL to VDB: 8949\nMDL to DIJ: 10152\nMDL to MYA: 8775\nVDB to DIJ: 2584\nVDB to MYA: 16336\nDIJ to MYA: 17950\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 60365,
"style": "rule"
}
|
{
"exact_answer": 60365,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"BZR\", \"id\": 0}, {\"name\": \"MGH\", \"id\": 1}, {\"name\": \"NLK\", \"id\": 2}, {\"name\": \"HJR\", \"id\": 3}, {\"name\": \"WNA\", \"id\": 4}, {\"name\": \"MDL\", \"id\": 5}, {\"name\": \"VDB\", \"id\": 6}, {\"name\": \"DIJ\", \"id\": 7}, {\"name\": \"MYA\", \"id\": 8}], \"links\": [{\"weight\": 11609, \"source\": 0, \"target\": 4}, {\"weight\": 10560, \"source\": 0, \"target\": 1}, {\"weight\": 10198, \"source\": 0, \"target\": 5}, {\"weight\": 8297, \"source\": 0, \"target\": 3}, {\"weight\": 2184, \"source\": 0, \"target\": 6}, {\"weight\": 18572, \"source\": 0, \"target\": 2}, {\"weight\": 2358, \"source\": 0, \"target\": 7}, {\"weight\": 17788, \"source\": 0, \"target\": 8}, {\"weight\": 19737, \"source\": 1, \"target\": 4}, {\"weight\": 10583, \"source\": 1, \"target\": 5}, {\"weight\": 8886, \"source\": 1, \"target\": 3}, {\"weight\": 10457, \"source\": 1, \"target\": 6}, {\"weight\": 13264, \"source\": 1, \"target\": 2}, {\"weight\": 9734, \"source\": 1, \"target\": 7}, {\"weight\": 11824, \"source\": 1, \"target\": 8}, {\"weight\": 13304, \"source\": 2, \"target\": 4}, {\"weight\": 9746, \"source\": 2, \"target\": 5}, {\"weight\": 11309, \"source\": 2, \"target\": 3}, {\"weight\": 17114, \"source\": 2, \"target\": 6}, {\"weight\": 18885, \"source\": 2, \"target\": 7}, {\"weight\": 1914, \"source\": 2, \"target\": 8}, {\"weight\": 15505, \"source\": 3, \"target\": 4}, {\"weight\": 2510, \"source\": 3, \"target\": 5}, {\"weight\": 7070, \"source\": 3, \"target\": 6}, {\"weight\": 8251, \"source\": 3, \"target\": 7}, {\"weight\": 10338, \"source\": 3, \"target\": 8}, {\"weight\": 14550, \"source\": 4, \"target\": 5}, {\"weight\": 10700, \"source\": 4, \"target\": 6}, {\"weight\": 12015, \"source\": 4, \"target\": 7}, {\"weight\": 13532, \"source\": 4, \"target\": 8}, {\"weight\": 8949, \"source\": 5, \"target\": 6}, {\"weight\": 10152, \"source\": 5, \"target\": 7}, {\"weight\": 8775, \"source\": 5, \"target\": 8}, {\"weight\": 2584, \"source\": 6, \"target\": 7}, {\"weight\": 16336, \"source\": 6, \"target\": 8}, {\"weight\": 17950, \"source\": 7, \"target\": 8}]}",
"id": 877,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BZR, MGH, NLK, HJR, WNA, MDL, VDB, DIJ, MYA\n- Travel distances (in kilometers) between each pair of airports:\nBZR to WNA: 11609\nBZR to MGH: 10560\nBZR to MDL: 10198\nBZR to HJR: 8297\nBZR to VDB: 2184\nBZR to NLK: 18572\nBZR to DIJ: 2358\nBZR to MYA: 17788\nMGH to WNA: 19737\nMGH to MDL: 10583\nMGH to HJR: 8886\nMGH to VDB: 10457\nMGH to NLK: 13264\nMGH to DIJ: 9734\nMGH to MYA: 11824\nNLK to WNA: 13304\nNLK to MDL: 9746\nNLK to HJR: 11309\nNLK to VDB: 17114\nNLK to DIJ: 18885\nNLK to MYA: 1914\nHJR to WNA: 15505\nHJR to MDL: 2510\nHJR to VDB: 7070\nHJR to DIJ: 8251\nHJR to MYA: 10338\nWNA to MDL: 14550\nWNA to VDB: 10700\nWNA to DIJ: 12015\nWNA to MYA: 13532\nMDL to VDB: 8949\nMDL to DIJ: 10152\nMDL to MYA: 8775\nVDB to DIJ: 2584\nVDB to MYA: 16336\nDIJ to MYA: 17950\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ATY, GEG, YHU, CED, ADD, KMG, MJN, TPA, EGX\n- Travel distances (in kilometers) between each pair of airports:\nATY to TPA: 2413\nATY to KMG: 13218\nATY to GEG: 2194\nATY to ADD: 12663\nATY to EGX: 4882\nATY to MJN: 15489\nATY to YHU: 2275\nATY to CED: 15956\nGEG to TPA: 3764\nGEG to KMG: 11150\nGEG to ADD: 13904\nGEG to EGX: 3214\nGEG to MJN: 16783\nGEG to YHU: 3851\nGEG to CED: 14352\nYHU to TPA: 2521\nYHU to KMG: 13615\nYHU to ADD: 11082\nYHU to EGX: 6539\nYHU to MJN: 13908\nYHU to CED: 18078\nCED to TPA: 17009\nCED to KMG: 8537\nCED to ADD: 12806\nCED to EGX: 14722\nCED to MJN: 9997\nADD to TPA: 12869\nADD to KMG: 6976\nADD to EGX: 16402\nADD to MJN: 2973\nKMG to TPA: 14305\nKMG to EGX: 13648\nKMG to MJN: 8504\nMJN to TPA: 15590\nMJN to EGX: 19281\nTPA to EGX: 6677\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 56160,
"style": "rule"
}
|
{
"exact_answer": 56160,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"ATY\", \"id\": 0}, {\"name\": \"GEG\", \"id\": 1}, {\"name\": \"YHU\", \"id\": 2}, {\"name\": \"CED\", \"id\": 3}, {\"name\": \"ADD\", \"id\": 4}, {\"name\": \"KMG\", \"id\": 5}, {\"name\": \"MJN\", \"id\": 6}, {\"name\": \"TPA\", \"id\": 7}, {\"name\": \"EGX\", \"id\": 8}], \"links\": [{\"weight\": 2413, \"source\": 0, \"target\": 7}, {\"weight\": 13218, \"source\": 0, \"target\": 5}, {\"weight\": 2194, \"source\": 0, \"target\": 1}, {\"weight\": 12663, \"source\": 0, \"target\": 4}, {\"weight\": 4882, \"source\": 0, \"target\": 8}, {\"weight\": 15489, \"source\": 0, \"target\": 6}, {\"weight\": 2275, \"source\": 0, \"target\": 2}, {\"weight\": 15956, \"source\": 0, \"target\": 3}, {\"weight\": 3764, \"source\": 1, \"target\": 7}, {\"weight\": 11150, \"source\": 1, \"target\": 5}, {\"weight\": 13904, \"source\": 1, \"target\": 4}, {\"weight\": 3214, \"source\": 1, \"target\": 8}, {\"weight\": 16783, \"source\": 1, \"target\": 6}, {\"weight\": 3851, \"source\": 1, \"target\": 2}, {\"weight\": 14352, \"source\": 1, \"target\": 3}, {\"weight\": 2521, \"source\": 2, \"target\": 7}, {\"weight\": 13615, \"source\": 2, \"target\": 5}, {\"weight\": 11082, \"source\": 2, \"target\": 4}, {\"weight\": 6539, \"source\": 2, \"target\": 8}, {\"weight\": 13908, \"source\": 2, \"target\": 6}, {\"weight\": 18078, \"source\": 2, \"target\": 3}, {\"weight\": 17009, \"source\": 3, \"target\": 7}, {\"weight\": 8537, \"source\": 3, \"target\": 5}, {\"weight\": 12806, \"source\": 3, \"target\": 4}, {\"weight\": 14722, \"source\": 3, \"target\": 8}, {\"weight\": 9997, \"source\": 3, \"target\": 6}, {\"weight\": 12869, \"source\": 4, \"target\": 7}, {\"weight\": 6976, \"source\": 4, \"target\": 5}, {\"weight\": 16402, \"source\": 4, \"target\": 8}, {\"weight\": 2973, \"source\": 4, \"target\": 6}, {\"weight\": 14305, \"source\": 5, \"target\": 7}, {\"weight\": 13648, \"source\": 5, \"target\": 8}, {\"weight\": 8504, \"source\": 5, \"target\": 6}, {\"weight\": 15590, \"source\": 6, \"target\": 7}, {\"weight\": 19281, \"source\": 6, \"target\": 8}, {\"weight\": 6677, \"source\": 7, \"target\": 8}]}",
"id": 878,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ATY, GEG, YHU, CED, ADD, KMG, MJN, TPA, EGX\n- Travel distances (in kilometers) between each pair of airports:\nATY to TPA: 2413\nATY to KMG: 13218\nATY to GEG: 2194\nATY to ADD: 12663\nATY to EGX: 4882\nATY to MJN: 15489\nATY to YHU: 2275\nATY to CED: 15956\nGEG to TPA: 3764\nGEG to KMG: 11150\nGEG to ADD: 13904\nGEG to EGX: 3214\nGEG to MJN: 16783\nGEG to YHU: 3851\nGEG to CED: 14352\nYHU to TPA: 2521\nYHU to KMG: 13615\nYHU to ADD: 11082\nYHU to EGX: 6539\nYHU to MJN: 13908\nYHU to CED: 18078\nCED to TPA: 17009\nCED to KMG: 8537\nCED to ADD: 12806\nCED to EGX: 14722\nCED to MJN: 9997\nADD to TPA: 12869\nADD to KMG: 6976\nADD to EGX: 16402\nADD to MJN: 2973\nKMG to TPA: 14305\nKMG to EGX: 13648\nKMG to MJN: 8504\nMJN to TPA: 15590\nMJN to EGX: 19281\nTPA to EGX: 6677\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TSV, CFS, KKJ, EMA, MUB, FSD, COR, VNO, BNA\n- Travel distances (in kilometers) between each pair of airports:\nTSV to KKJ: 7272\nTSV to COR: 13689\nTSV to BNA: 15490\nTSV to FSD: 14799\nTSV to VNO: 13767\nTSV to EMA: 15490\nTSV to MUB: 12868\nTSV to CFS: 2133\nCFS to KKJ: 9402\nCFS to COR: 12440\nCFS to BNA: 15264\nCFS to FSD: 14656\nCFS to VNO: 15746\nCFS to EMA: 17467\nCFS to MUB: 12309\nKKJ to COR: 18873\nKKJ to BNA: 11712\nKKJ to FSD: 10944\nKKJ to VNO: 9396\nKKJ to EMA: 10798\nKKJ to MUB: 14921\nEMA to COR: 11629\nEMA to BNA: 6627\nEMA to FSD: 6973\nEMA to VNO: 1792\nEMA to MUB: 9279\nMUB to COR: 10236\nMUB to BNA: 13761\nMUB to FSD: 14491\nMUB to VNO: 9153\nFSD to COR: 9086\nFSD to BNA: 1401\nFSD to VNO: 8309\nCOR to BNA: 7885\nCOR to VNO: 12972\nVNO to BNA: 8029\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 59397,
"style": "rule"
}
|
{
"exact_answer": 59397,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"TSV\", \"id\": 0}, {\"name\": \"CFS\", \"id\": 1}, {\"name\": \"KKJ\", \"id\": 2}, {\"name\": \"EMA\", \"id\": 3}, {\"name\": \"MUB\", \"id\": 4}, {\"name\": \"FSD\", \"id\": 5}, {\"name\": \"COR\", \"id\": 6}, {\"name\": \"VNO\", \"id\": 7}, {\"name\": \"BNA\", \"id\": 8}], \"links\": [{\"weight\": 7272, \"source\": 0, \"target\": 2}, {\"weight\": 13689, \"source\": 0, \"target\": 6}, {\"weight\": 15490, \"source\": 0, \"target\": 8}, {\"weight\": 14799, \"source\": 0, \"target\": 5}, {\"weight\": 13767, \"source\": 0, \"target\": 7}, {\"weight\": 15490, \"source\": 0, \"target\": 3}, {\"weight\": 12868, \"source\": 0, \"target\": 4}, {\"weight\": 2133, \"source\": 0, \"target\": 1}, {\"weight\": 9402, \"source\": 1, \"target\": 2}, {\"weight\": 12440, \"source\": 1, \"target\": 6}, {\"weight\": 15264, \"source\": 1, \"target\": 8}, {\"weight\": 14656, \"source\": 1, \"target\": 5}, {\"weight\": 15746, \"source\": 1, \"target\": 7}, {\"weight\": 17467, \"source\": 1, \"target\": 3}, {\"weight\": 12309, \"source\": 1, \"target\": 4}, {\"weight\": 18873, \"source\": 2, \"target\": 6}, {\"weight\": 11712, \"source\": 2, \"target\": 8}, {\"weight\": 10944, \"source\": 2, \"target\": 5}, {\"weight\": 9396, \"source\": 2, \"target\": 7}, {\"weight\": 10798, \"source\": 2, \"target\": 3}, {\"weight\": 14921, \"source\": 2, \"target\": 4}, {\"weight\": 11629, \"source\": 3, \"target\": 6}, {\"weight\": 6627, \"source\": 3, \"target\": 8}, {\"weight\": 6973, \"source\": 3, \"target\": 5}, {\"weight\": 1792, \"source\": 3, \"target\": 7}, {\"weight\": 9279, \"source\": 3, \"target\": 4}, {\"weight\": 10236, \"source\": 4, \"target\": 6}, {\"weight\": 13761, \"source\": 4, \"target\": 8}, {\"weight\": 14491, \"source\": 4, \"target\": 5}, {\"weight\": 9153, \"source\": 4, \"target\": 7}, {\"weight\": 9086, \"source\": 5, \"target\": 6}, {\"weight\": 1401, \"source\": 5, \"target\": 8}, {\"weight\": 8309, \"source\": 5, \"target\": 7}, {\"weight\": 7885, \"source\": 6, \"target\": 8}, {\"weight\": 12972, \"source\": 6, \"target\": 7}, {\"weight\": 8029, \"source\": 7, \"target\": 8}]}",
"id": 879,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TSV, CFS, KKJ, EMA, MUB, FSD, COR, VNO, BNA\n- Travel distances (in kilometers) between each pair of airports:\nTSV to KKJ: 7272\nTSV to COR: 13689\nTSV to BNA: 15490\nTSV to FSD: 14799\nTSV to VNO: 13767\nTSV to EMA: 15490\nTSV to MUB: 12868\nTSV to CFS: 2133\nCFS to KKJ: 9402\nCFS to COR: 12440\nCFS to BNA: 15264\nCFS to FSD: 14656\nCFS to VNO: 15746\nCFS to EMA: 17467\nCFS to MUB: 12309\nKKJ to COR: 18873\nKKJ to BNA: 11712\nKKJ to FSD: 10944\nKKJ to VNO: 9396\nKKJ to EMA: 10798\nKKJ to MUB: 14921\nEMA to COR: 11629\nEMA to BNA: 6627\nEMA to FSD: 6973\nEMA to VNO: 1792\nEMA to MUB: 9279\nMUB to COR: 10236\nMUB to BNA: 13761\nMUB to FSD: 14491\nMUB to VNO: 9153\nFSD to COR: 9086\nFSD to BNA: 1401\nFSD to VNO: 8309\nCOR to BNA: 7885\nCOR to VNO: 12972\nVNO to BNA: 8029\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: IBE, BJF, POG, HAV, WSN, PNR, FUJ, TBP, IAR\n- Travel distances (in kilometers) between each pair of airports:\nIBE to HAV: 2332\nIBE to IAR: 11100\nIBE to PNR: 11789\nIBE to POG: 12362\nIBE to WSN: 9424\nIBE to TBP: 3010\nIBE to FUJ: 15479\nIBE to BJF: 11092\nBJF to HAV: 9279\nBJF to IAR: 2612\nBJF to PNR: 8794\nBJF to POG: 9367\nBJF to WSN: 11457\nBJF to TBP: 13847\nBJF to FUJ: 9486\nPOG to PNR: 573\nPOG to HAV: 12471\nPOG to IAR: 8815\nPOG to WSN: 16797\nPOG to TBP: 12492\nPOG to FUJ: 13650\nHAV to IAR: 9805\nHAV to PNR: 11898\nHAV to WSN: 7543\nHAV to TBP: 4943\nHAV to FUJ: 13596\nWSN to IAR: 11983\nWSN to PNR: 16224\nWSN to TBP: 11802\nWSN to FUJ: 11574\nPNR to IAR: 8242\nPNR to TBP: 11919\nPNR to FUJ: 13077\nFUJ to IAR: 8118\nFUJ to TBP: 17588\nTBP to IAR: 13864\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 57048,
"style": "rule"
}
|
{
"exact_answer": 57048,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"IBE\", \"id\": 0}, {\"name\": \"BJF\", \"id\": 1}, {\"name\": \"POG\", \"id\": 2}, {\"name\": \"HAV\", \"id\": 3}, {\"name\": \"WSN\", \"id\": 4}, {\"name\": \"PNR\", \"id\": 5}, {\"name\": \"FUJ\", \"id\": 6}, {\"name\": \"TBP\", \"id\": 7}, {\"name\": \"IAR\", \"id\": 8}], \"links\": [{\"weight\": 2332, \"source\": 0, \"target\": 3}, {\"weight\": 11100, \"source\": 0, \"target\": 8}, {\"weight\": 11789, \"source\": 0, \"target\": 5}, {\"weight\": 12362, \"source\": 0, \"target\": 2}, {\"weight\": 9424, \"source\": 0, \"target\": 4}, {\"weight\": 3010, \"source\": 0, \"target\": 7}, {\"weight\": 15479, \"source\": 0, \"target\": 6}, {\"weight\": 11092, \"source\": 0, \"target\": 1}, {\"weight\": 9279, \"source\": 1, \"target\": 3}, {\"weight\": 2612, \"source\": 1, \"target\": 8}, {\"weight\": 8794, \"source\": 1, \"target\": 5}, {\"weight\": 9367, \"source\": 1, \"target\": 2}, {\"weight\": 11457, \"source\": 1, \"target\": 4}, {\"weight\": 13847, \"source\": 1, \"target\": 7}, {\"weight\": 9486, \"source\": 1, \"target\": 6}, {\"weight\": 573, \"source\": 2, \"target\": 5}, {\"weight\": 12471, \"source\": 2, \"target\": 3}, {\"weight\": 8815, \"source\": 2, \"target\": 8}, {\"weight\": 16797, \"source\": 2, \"target\": 4}, {\"weight\": 12492, \"source\": 2, \"target\": 7}, {\"weight\": 13650, \"source\": 2, \"target\": 6}, {\"weight\": 9805, \"source\": 3, \"target\": 8}, {\"weight\": 11898, \"source\": 3, \"target\": 5}, {\"weight\": 7543, \"source\": 3, \"target\": 4}, {\"weight\": 4943, \"source\": 3, \"target\": 7}, {\"weight\": 13596, \"source\": 3, \"target\": 6}, {\"weight\": 11983, \"source\": 4, \"target\": 8}, {\"weight\": 16224, \"source\": 4, \"target\": 5}, {\"weight\": 11802, \"source\": 4, \"target\": 7}, {\"weight\": 11574, \"source\": 4, \"target\": 6}, {\"weight\": 8242, \"source\": 5, \"target\": 8}, {\"weight\": 11919, \"source\": 5, \"target\": 7}, {\"weight\": 13077, \"source\": 5, \"target\": 6}, {\"weight\": 8118, \"source\": 6, \"target\": 8}, {\"weight\": 17588, \"source\": 6, \"target\": 7}, {\"weight\": 13864, \"source\": 7, \"target\": 8}]}",
"id": 880,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: IBE, BJF, POG, HAV, WSN, PNR, FUJ, TBP, IAR\n- Travel distances (in kilometers) between each pair of airports:\nIBE to HAV: 2332\nIBE to IAR: 11100\nIBE to PNR: 11789\nIBE to POG: 12362\nIBE to WSN: 9424\nIBE to TBP: 3010\nIBE to FUJ: 15479\nIBE to BJF: 11092\nBJF to HAV: 9279\nBJF to IAR: 2612\nBJF to PNR: 8794\nBJF to POG: 9367\nBJF to WSN: 11457\nBJF to TBP: 13847\nBJF to FUJ: 9486\nPOG to PNR: 573\nPOG to HAV: 12471\nPOG to IAR: 8815\nPOG to WSN: 16797\nPOG to TBP: 12492\nPOG to FUJ: 13650\nHAV to IAR: 9805\nHAV to PNR: 11898\nHAV to WSN: 7543\nHAV to TBP: 4943\nHAV to FUJ: 13596\nWSN to IAR: 11983\nWSN to PNR: 16224\nWSN to TBP: 11802\nWSN to FUJ: 11574\nPNR to IAR: 8242\nPNR to TBP: 11919\nPNR to FUJ: 13077\nFUJ to IAR: 8118\nFUJ to TBP: 17588\nTBP to IAR: 13864\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, SCY, KKB, MWZ, BTC, ESB, IUE, MVR, JRO\n- Travel distances (in kilometers) between each pair of airports:\nUKS to SCY: 13400\nUKS to KKB: 12684\nUKS to JRO: 6708\nUKS to ESB: 2039\nUKS to MWZ: 6940\nUKS to IUE: 19963\nUKS to MVR: 6995\nUKS to BTC: 7524\nSCY to KKB: 10752\nSCY to JRO: 15192\nSCY to ESB: 13181\nSCY to MWZ: 15418\nSCY to IUE: 16828\nSCY to MVR: 13655\nSCY to BTC: 19238\nKKB to JRO: 17521\nKKB to ESB: 13093\nKKB to MWZ: 17754\nKKB to IUE: 14504\nKKB to MVR: 16228\nKKB to BTC: 16833\nMWZ to JRO: 472\nMWZ to ESB: 5172\nMWZ to IUE: 17138\nMWZ to MVR: 4142\nMWZ to BTC: 5776\nBTC to JRO: 5550\nBTC to ESB: 6149\nBTC to IUE: 13693\nBTC to MVR: 8996\nESB to JRO: 4946\nESB to IUE: 19202\nESB to MVR: 5698\nIUE to JRO: 16737\nIUE to MVR: 20448\nMVR to JRO: 3916\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 70250,
"style": "rule"
}
|
{
"exact_answer": 70250,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"UKS\", \"id\": 0}, {\"name\": \"SCY\", \"id\": 1}, {\"name\": \"KKB\", \"id\": 2}, {\"name\": \"MWZ\", \"id\": 3}, {\"name\": \"BTC\", \"id\": 4}, {\"name\": \"ESB\", \"id\": 5}, {\"name\": \"IUE\", \"id\": 6}, {\"name\": \"MVR\", \"id\": 7}, {\"name\": \"JRO\", \"id\": 8}], \"links\": [{\"weight\": 13400, \"source\": 0, \"target\": 1}, {\"weight\": 12684, \"source\": 0, \"target\": 2}, {\"weight\": 6708, \"source\": 0, \"target\": 8}, {\"weight\": 2039, \"source\": 0, \"target\": 5}, {\"weight\": 6940, \"source\": 0, \"target\": 3}, {\"weight\": 19963, \"source\": 0, \"target\": 6}, {\"weight\": 6995, \"source\": 0, \"target\": 7}, {\"weight\": 7524, \"source\": 0, \"target\": 4}, {\"weight\": 10752, \"source\": 1, \"target\": 2}, {\"weight\": 15192, \"source\": 1, \"target\": 8}, {\"weight\": 13181, \"source\": 1, \"target\": 5}, {\"weight\": 15418, \"source\": 1, \"target\": 3}, {\"weight\": 16828, \"source\": 1, \"target\": 6}, {\"weight\": 13655, \"source\": 1, \"target\": 7}, {\"weight\": 19238, \"source\": 1, \"target\": 4}, {\"weight\": 17521, \"source\": 2, \"target\": 8}, {\"weight\": 13093, \"source\": 2, \"target\": 5}, {\"weight\": 17754, \"source\": 2, \"target\": 3}, {\"weight\": 14504, \"source\": 2, \"target\": 6}, {\"weight\": 16228, \"source\": 2, \"target\": 7}, {\"weight\": 16833, \"source\": 2, \"target\": 4}, {\"weight\": 472, \"source\": 3, \"target\": 8}, {\"weight\": 5172, \"source\": 3, \"target\": 5}, {\"weight\": 17138, \"source\": 3, \"target\": 6}, {\"weight\": 4142, \"source\": 3, \"target\": 7}, {\"weight\": 5776, \"source\": 3, \"target\": 4}, {\"weight\": 5550, \"source\": 4, \"target\": 8}, {\"weight\": 6149, \"source\": 4, \"target\": 5}, {\"weight\": 13693, \"source\": 4, \"target\": 6}, {\"weight\": 8996, \"source\": 4, \"target\": 7}, {\"weight\": 4946, \"source\": 5, \"target\": 8}, {\"weight\": 19202, \"source\": 5, \"target\": 6}, {\"weight\": 5698, \"source\": 5, \"target\": 7}, {\"weight\": 16737, \"source\": 6, \"target\": 8}, {\"weight\": 20448, \"source\": 6, \"target\": 7}, {\"weight\": 3916, \"source\": 7, \"target\": 8}]}",
"id": 881,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, SCY, KKB, MWZ, BTC, ESB, IUE, MVR, JRO\n- Travel distances (in kilometers) between each pair of airports:\nUKS to SCY: 13400\nUKS to KKB: 12684\nUKS to JRO: 6708\nUKS to ESB: 2039\nUKS to MWZ: 6940\nUKS to IUE: 19963\nUKS to MVR: 6995\nUKS to BTC: 7524\nSCY to KKB: 10752\nSCY to JRO: 15192\nSCY to ESB: 13181\nSCY to MWZ: 15418\nSCY to IUE: 16828\nSCY to MVR: 13655\nSCY to BTC: 19238\nKKB to JRO: 17521\nKKB to ESB: 13093\nKKB to MWZ: 17754\nKKB to IUE: 14504\nKKB to MVR: 16228\nKKB to BTC: 16833\nMWZ to JRO: 472\nMWZ to ESB: 5172\nMWZ to IUE: 17138\nMWZ to MVR: 4142\nMWZ to BTC: 5776\nBTC to JRO: 5550\nBTC to ESB: 6149\nBTC to IUE: 13693\nBTC to MVR: 8996\nESB to JRO: 4946\nESB to IUE: 19202\nESB to MVR: 5698\nIUE to JRO: 16737\nIUE to MVR: 20448\nMVR to JRO: 3916\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: FAE, BVI, LUN, SVQ, ANM, MAA, PVD, PNH, LIM\n- Travel distances (in kilometers) between each pair of airports:\nFAE to LIM: 11866\nFAE to PNH: 10194\nFAE to MAA: 8746\nFAE to PVD: 6617\nFAE to SVQ: 3315\nFAE to LUN: 9380\nFAE to ANM: 10515\nFAE to BVI: 15808\nBVI to LIM: 15831\nBVI to PNH: 6362\nBVI to MAA: 8150\nBVI to PVD: 17126\nBVI to SVQ: 16892\nBVI to LUN: 14049\nBVI to ANM: 11726\nLUN to LIM: 11780\nLUN to PNH: 9541\nLUN to MAA: 7378\nLUN to PVD: 12779\nLUN to SVQ: 7730\nLUN to ANM: 3396\nSVQ to LIM: 9573\nSVQ to PNH: 11005\nSVQ to MAA: 8852\nSVQ to PVD: 6009\nSVQ to ANM: 9503\nANM to LIM: 13567\nANM to PNH: 7785\nANM to MAA: 5702\nANM to PVD: 15041\nMAA to LIM: 18091\nMAA to PNH: 2730\nMAA to PVD: 13779\nPVD to LIM: 6125\nPVD to PNH: 14600\nPNH to LIM: 19919\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 57808,
"style": "rule"
}
|
{
"exact_answer": 57808,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"FAE\", \"id\": 0}, {\"name\": \"BVI\", \"id\": 1}, {\"name\": \"LUN\", \"id\": 2}, {\"name\": \"SVQ\", \"id\": 3}, {\"name\": \"ANM\", \"id\": 4}, {\"name\": \"MAA\", \"id\": 5}, {\"name\": \"PVD\", \"id\": 6}, {\"name\": \"PNH\", \"id\": 7}, {\"name\": \"LIM\", \"id\": 8}], \"links\": [{\"weight\": 11866, \"source\": 0, \"target\": 8}, {\"weight\": 10194, \"source\": 0, \"target\": 7}, {\"weight\": 8746, \"source\": 0, \"target\": 5}, {\"weight\": 6617, \"source\": 0, \"target\": 6}, {\"weight\": 3315, \"source\": 0, \"target\": 3}, {\"weight\": 9380, \"source\": 0, \"target\": 2}, {\"weight\": 10515, \"source\": 0, \"target\": 4}, {\"weight\": 15808, \"source\": 0, \"target\": 1}, {\"weight\": 15831, \"source\": 1, \"target\": 8}, {\"weight\": 6362, \"source\": 1, \"target\": 7}, {\"weight\": 8150, \"source\": 1, \"target\": 5}, {\"weight\": 17126, \"source\": 1, \"target\": 6}, {\"weight\": 16892, \"source\": 1, \"target\": 3}, {\"weight\": 14049, \"source\": 1, \"target\": 2}, {\"weight\": 11726, \"source\": 1, \"target\": 4}, {\"weight\": 11780, \"source\": 2, \"target\": 8}, {\"weight\": 9541, \"source\": 2, \"target\": 7}, {\"weight\": 7378, \"source\": 2, \"target\": 5}, {\"weight\": 12779, \"source\": 2, \"target\": 6}, {\"weight\": 7730, \"source\": 2, \"target\": 3}, {\"weight\": 3396, \"source\": 2, \"target\": 4}, {\"weight\": 9573, \"source\": 3, \"target\": 8}, {\"weight\": 11005, \"source\": 3, \"target\": 7}, {\"weight\": 8852, \"source\": 3, \"target\": 5}, {\"weight\": 6009, \"source\": 3, \"target\": 6}, {\"weight\": 9503, \"source\": 3, \"target\": 4}, {\"weight\": 13567, \"source\": 4, \"target\": 8}, {\"weight\": 7785, \"source\": 4, \"target\": 7}, {\"weight\": 5702, \"source\": 4, \"target\": 5}, {\"weight\": 15041, \"source\": 4, \"target\": 6}, {\"weight\": 18091, \"source\": 5, \"target\": 8}, {\"weight\": 2730, \"source\": 5, \"target\": 7}, {\"weight\": 13779, \"source\": 5, \"target\": 6}, {\"weight\": 6125, \"source\": 6, \"target\": 8}, {\"weight\": 14600, \"source\": 6, \"target\": 7}, {\"weight\": 19919, \"source\": 7, \"target\": 8}]}",
"id": 882,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: FAE, BVI, LUN, SVQ, ANM, MAA, PVD, PNH, LIM\n- Travel distances (in kilometers) between each pair of airports:\nFAE to LIM: 11866\nFAE to PNH: 10194\nFAE to MAA: 8746\nFAE to PVD: 6617\nFAE to SVQ: 3315\nFAE to LUN: 9380\nFAE to ANM: 10515\nFAE to BVI: 15808\nBVI to LIM: 15831\nBVI to PNH: 6362\nBVI to MAA: 8150\nBVI to PVD: 17126\nBVI to SVQ: 16892\nBVI to LUN: 14049\nBVI to ANM: 11726\nLUN to LIM: 11780\nLUN to PNH: 9541\nLUN to MAA: 7378\nLUN to PVD: 12779\nLUN to SVQ: 7730\nLUN to ANM: 3396\nSVQ to LIM: 9573\nSVQ to PNH: 11005\nSVQ to MAA: 8852\nSVQ to PVD: 6009\nSVQ to ANM: 9503\nANM to LIM: 13567\nANM to PNH: 7785\nANM to MAA: 5702\nANM to PVD: 15041\nMAA to LIM: 18091\nMAA to PNH: 2730\nMAA to PVD: 13779\nPVD to LIM: 6125\nPVD to PNH: 14600\nPNH to LIM: 19919\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SKG, BNE, AJI, GNM, XSC, LKN, YIH, RGN, BAQ\n- Travel distances (in kilometers) between each pair of airports:\nSKG to RGN: 7394\nSKG to YIH: 7800\nSKG to BNE: 15263\nSKG to GNM: 9658\nSKG to BAQ: 10798\nSKG to XSC: 9369\nSKG to AJI: 1709\nSKG to LKN: 3242\nBNE to RGN: 7871\nBNE to YIH: 7909\nBNE to GNM: 16443\nBNE to BAQ: 16888\nBNE to XSC: 16176\nBNE to AJI: 15287\nBNE to LKN: 16233\nAJI to RGN: 7425\nAJI to YIH: 7973\nAJI to GNM: 11295\nAJI to BAQ: 12482\nAJI to XSC: 10950\nAJI to LKN: 4524\nGNM to RGN: 16827\nGNM to YIH: 17171\nGNM to BAQ: 6563\nGNM to XSC: 6418\nGNM to LKN: 10591\nXSC to RGN: 16252\nXSC to YIH: 14304\nXSC to BAQ: 2282\nXSC to LKN: 8434\nLKN to RGN: 8956\nLKN to YIH: 8409\nLKN to BAQ: 9844\nYIH to RGN: 2192\nYIH to BAQ: 15389\nRGN to BAQ: 17488\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 56199,
"style": "rule"
}
|
{
"exact_answer": 56199,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"SKG\", \"id\": 0}, {\"name\": \"BNE\", \"id\": 1}, {\"name\": \"AJI\", \"id\": 2}, {\"name\": \"GNM\", \"id\": 3}, {\"name\": \"XSC\", \"id\": 4}, {\"name\": \"LKN\", \"id\": 5}, {\"name\": \"YIH\", \"id\": 6}, {\"name\": \"RGN\", \"id\": 7}, {\"name\": \"BAQ\", \"id\": 8}], \"links\": [{\"weight\": 7394, \"source\": 0, \"target\": 7}, {\"weight\": 7800, \"source\": 0, \"target\": 6}, {\"weight\": 15263, \"source\": 0, \"target\": 1}, {\"weight\": 9658, \"source\": 0, \"target\": 3}, {\"weight\": 10798, \"source\": 0, \"target\": 8}, {\"weight\": 9369, \"source\": 0, \"target\": 4}, {\"weight\": 1709, \"source\": 0, \"target\": 2}, {\"weight\": 3242, \"source\": 0, \"target\": 5}, {\"weight\": 7871, \"source\": 1, \"target\": 7}, {\"weight\": 7909, \"source\": 1, \"target\": 6}, {\"weight\": 16443, \"source\": 1, \"target\": 3}, {\"weight\": 16888, \"source\": 1, \"target\": 8}, {\"weight\": 16176, \"source\": 1, \"target\": 4}, {\"weight\": 15287, \"source\": 1, \"target\": 2}, {\"weight\": 16233, \"source\": 1, \"target\": 5}, {\"weight\": 7425, \"source\": 2, \"target\": 7}, {\"weight\": 7973, \"source\": 2, \"target\": 6}, {\"weight\": 11295, \"source\": 2, \"target\": 3}, {\"weight\": 12482, \"source\": 2, \"target\": 8}, {\"weight\": 10950, \"source\": 2, \"target\": 4}, {\"weight\": 4524, \"source\": 2, \"target\": 5}, {\"weight\": 16827, \"source\": 3, \"target\": 7}, {\"weight\": 17171, \"source\": 3, \"target\": 6}, {\"weight\": 6563, \"source\": 3, \"target\": 8}, {\"weight\": 6418, \"source\": 3, \"target\": 4}, {\"weight\": 10591, \"source\": 3, \"target\": 5}, {\"weight\": 16252, \"source\": 4, \"target\": 7}, {\"weight\": 14304, \"source\": 4, \"target\": 6}, {\"weight\": 2282, \"source\": 4, \"target\": 8}, {\"weight\": 8434, \"source\": 4, \"target\": 5}, {\"weight\": 8956, \"source\": 5, \"target\": 7}, {\"weight\": 8409, \"source\": 5, \"target\": 6}, {\"weight\": 9844, \"source\": 5, \"target\": 8}, {\"weight\": 2192, \"source\": 6, \"target\": 7}, {\"weight\": 15389, \"source\": 6, \"target\": 8}, {\"weight\": 17488, \"source\": 7, \"target\": 8}]}",
"id": 883,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SKG, BNE, AJI, GNM, XSC, LKN, YIH, RGN, BAQ\n- Travel distances (in kilometers) between each pair of airports:\nSKG to RGN: 7394\nSKG to YIH: 7800\nSKG to BNE: 15263\nSKG to GNM: 9658\nSKG to BAQ: 10798\nSKG to XSC: 9369\nSKG to AJI: 1709\nSKG to LKN: 3242\nBNE to RGN: 7871\nBNE to YIH: 7909\nBNE to GNM: 16443\nBNE to BAQ: 16888\nBNE to XSC: 16176\nBNE to AJI: 15287\nBNE to LKN: 16233\nAJI to RGN: 7425\nAJI to YIH: 7973\nAJI to GNM: 11295\nAJI to BAQ: 12482\nAJI to XSC: 10950\nAJI to LKN: 4524\nGNM to RGN: 16827\nGNM to YIH: 17171\nGNM to BAQ: 6563\nGNM to XSC: 6418\nGNM to LKN: 10591\nXSC to RGN: 16252\nXSC to YIH: 14304\nXSC to BAQ: 2282\nXSC to LKN: 8434\nLKN to RGN: 8956\nLKN to YIH: 8409\nLKN to BAQ: 9844\nYIH to RGN: 2192\nYIH to BAQ: 15389\nRGN to BAQ: 17488\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: GUM, CNX, MDW, TBS, BVA, VPE, CMW, MZV, STG\n- Travel distances (in kilometers) between each pair of airports:\nGUM to TBS: 9915\nGUM to CNX: 5008\nGUM to BVA: 12261\nGUM to MDW: 12628\nGUM to STG: 11817\nGUM to MZV: 3914\nGUM to CMW: 14630\nGUM to VPE: 15678\nCNX to TBS: 5943\nCNX to BVA: 9341\nCNX to MDW: 13920\nCNX to STG: 15145\nCNX to MZV: 2529\nCNX to CMW: 15948\nCNX to VPE: 11288\nMDW to TBS: 9746\nMDW to BVA: 6697\nMDW to STG: 5836\nMDW to MZV: 14507\nMDW to CMW: 3170\nMDW to VPE: 12725\nTBS to BVA: 3436\nTBS to STG: 14237\nTBS to MZV: 8120\nTBS to CMW: 11422\nTBS to VPE: 8111\nBVA to STG: 11552\nBVA to MZV: 11420\nBVA to CMW: 8468\nBVA to VPE: 7790\nVPE to STG: 18424\nVPE to MZV: 12333\nVPE to CMW: 12411\nCMW to STG: 8795\nCMW to MZV: 16993\nMZV to STG: 15576\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 56846,
"style": "rule"
}
|
{
"exact_answer": 56846,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"GUM\", \"id\": 0}, {\"name\": \"CNX\", \"id\": 1}, {\"name\": \"MDW\", \"id\": 2}, {\"name\": \"TBS\", \"id\": 3}, {\"name\": \"BVA\", \"id\": 4}, {\"name\": \"VPE\", \"id\": 5}, {\"name\": \"CMW\", \"id\": 6}, {\"name\": \"MZV\", \"id\": 7}, {\"name\": \"STG\", \"id\": 8}], \"links\": [{\"weight\": 9915, \"source\": 0, \"target\": 3}, {\"weight\": 5008, \"source\": 0, \"target\": 1}, {\"weight\": 12261, \"source\": 0, \"target\": 4}, {\"weight\": 12628, \"source\": 0, \"target\": 2}, {\"weight\": 11817, \"source\": 0, \"target\": 8}, {\"weight\": 3914, \"source\": 0, \"target\": 7}, {\"weight\": 14630, \"source\": 0, \"target\": 6}, {\"weight\": 15678, \"source\": 0, \"target\": 5}, {\"weight\": 5943, \"source\": 1, \"target\": 3}, {\"weight\": 9341, \"source\": 1, \"target\": 4}, {\"weight\": 13920, \"source\": 1, \"target\": 2}, {\"weight\": 15145, \"source\": 1, \"target\": 8}, {\"weight\": 2529, \"source\": 1, \"target\": 7}, {\"weight\": 15948, \"source\": 1, \"target\": 6}, {\"weight\": 11288, \"source\": 1, \"target\": 5}, {\"weight\": 9746, \"source\": 2, \"target\": 3}, {\"weight\": 6697, \"source\": 2, \"target\": 4}, {\"weight\": 5836, \"source\": 2, \"target\": 8}, {\"weight\": 14507, \"source\": 2, \"target\": 7}, {\"weight\": 3170, \"source\": 2, \"target\": 6}, {\"weight\": 12725, \"source\": 2, \"target\": 5}, {\"weight\": 3436, \"source\": 3, \"target\": 4}, {\"weight\": 14237, \"source\": 3, \"target\": 8}, {\"weight\": 8120, \"source\": 3, \"target\": 7}, {\"weight\": 11422, \"source\": 3, \"target\": 6}, {\"weight\": 8111, \"source\": 3, \"target\": 5}, {\"weight\": 11552, \"source\": 4, \"target\": 8}, {\"weight\": 11420, \"source\": 4, \"target\": 7}, {\"weight\": 8468, \"source\": 4, \"target\": 6}, {\"weight\": 7790, \"source\": 4, \"target\": 5}, {\"weight\": 18424, \"source\": 5, \"target\": 8}, {\"weight\": 12333, \"source\": 5, \"target\": 7}, {\"weight\": 12411, \"source\": 5, \"target\": 6}, {\"weight\": 8795, \"source\": 6, \"target\": 8}, {\"weight\": 16993, \"source\": 6, \"target\": 7}, {\"weight\": 15576, \"source\": 7, \"target\": 8}]}",
"id": 884,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: GUM, CNX, MDW, TBS, BVA, VPE, CMW, MZV, STG\n- Travel distances (in kilometers) between each pair of airports:\nGUM to TBS: 9915\nGUM to CNX: 5008\nGUM to BVA: 12261\nGUM to MDW: 12628\nGUM to STG: 11817\nGUM to MZV: 3914\nGUM to CMW: 14630\nGUM to VPE: 15678\nCNX to TBS: 5943\nCNX to BVA: 9341\nCNX to MDW: 13920\nCNX to STG: 15145\nCNX to MZV: 2529\nCNX to CMW: 15948\nCNX to VPE: 11288\nMDW to TBS: 9746\nMDW to BVA: 6697\nMDW to STG: 5836\nMDW to MZV: 14507\nMDW to CMW: 3170\nMDW to VPE: 12725\nTBS to BVA: 3436\nTBS to STG: 14237\nTBS to MZV: 8120\nTBS to CMW: 11422\nTBS to VPE: 8111\nBVA to STG: 11552\nBVA to MZV: 11420\nBVA to CMW: 8468\nBVA to VPE: 7790\nVPE to STG: 18424\nVPE to MZV: 12333\nVPE to CMW: 12411\nCMW to STG: 8795\nCMW to MZV: 16993\nMZV to STG: 15576\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: AMH, BBO, YAK, PET, SZI, NER, XGR, INH, ATW\n- Travel distances (in kilometers) between each pair of airports:\nAMH to XGR: 11996\nAMH to PET: 11351\nAMH to ATW: 12672\nAMH to YAK: 15676\nAMH to SZI: 6871\nAMH to BBO: 1072\nAMH to NER: 9351\nAMH to INH: 4658\nBBO to XGR: 11896\nBBO to PET: 11719\nBBO to ATW: 12660\nBBO to YAK: 15508\nBBO to SZI: 5982\nBBO to NER: 8464\nBBO to INH: 4719\nYAK to XGR: 6067\nYAK to PET: 13156\nYAK to ATW: 4399\nYAK to SZI: 14243\nYAK to NER: 12072\nYAK to INH: 19259\nPET to XGR: 10851\nPET to ATW: 9338\nPET to SZI: 16217\nPET to NER: 17876\nPET to INH: 9290\nSZI to XGR: 11608\nSZI to ATW: 11643\nSZI to NER: 5246\nSZI to INH: 10698\nNER to XGR: 13257\nNER to ATW: 12569\nNER to INH: 13178\nXGR to ATW: 2932\nXGR to INH: 15564\nINH to ATW: 14887\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\": \"AMH\", \"id\": 0}, {\"name\": \"BBO\", \"id\": 1}, {\"name\": \"YAK\", \"id\": 2}, {\"name\": \"PET\", \"id\": 3}, {\"name\": \"SZI\", \"id\": 4}, {\"name\": \"NER\", \"id\": 5}, {\"name\": \"XGR\", \"id\": 6}, {\"name\": \"INH\", \"id\": 7}, {\"name\": \"ATW\", \"id\": 8}], \"links\": [{\"weight\": 11996, \"source\": 0, \"target\": 6}, {\"weight\": 11351, \"source\": 0, \"target\": 3}, {\"weight\": 12672, \"source\": 0, \"target\": 8}, {\"weight\": 15676, \"source\": 0, \"target\": 2}, {\"weight\": 6871, \"source\": 0, \"target\": 4}, {\"weight\": 1072, \"source\": 0, \"target\": 1}, {\"weight\": 9351, \"source\": 0, \"target\": 5}, {\"weight\": 4658, \"source\": 0, \"target\": 7}, {\"weight\": 11896, \"source\": 1, \"target\": 6}, {\"weight\": 11719, \"source\": 1, \"target\": 3}, {\"weight\": 12660, \"source\": 1, \"target\": 8}, {\"weight\": 15508, \"source\": 1, \"target\": 2}, {\"weight\": 5982, \"source\": 1, \"target\": 4}, {\"weight\": 8464, \"source\": 1, \"target\": 5}, {\"weight\": 4719, \"source\": 1, \"target\": 7}, {\"weight\": 6067, \"source\": 2, \"target\": 6}, {\"weight\": 13156, \"source\": 2, \"target\": 3}, {\"weight\": 4399, \"source\": 2, \"target\": 8}, {\"weight\": 14243, \"source\": 2, \"target\": 4}, {\"weight\": 12072, \"source\": 2, \"target\": 5}, {\"weight\": 19259, \"source\": 2, \"target\": 7}, {\"weight\": 10851, \"source\": 3, \"target\": 6}, {\"weight\": 9338, \"source\": 3, \"target\": 8}, {\"weight\": 16217, \"source\": 3, \"target\": 4}, {\"weight\": 17876, \"source\": 3, \"target\": 5}, {\"weight\": 9290, \"source\": 3, \"target\": 7}, {\"weight\": 11608, \"source\": 4, \"target\": 6}, {\"weight\": 11643, \"source\": 4, \"target\": 8}, {\"weight\": 5246, \"source\": 4, \"target\": 5}, {\"weight\": 10698, \"source\": 4, \"target\": 7}, {\"weight\": 13257, \"source\": 5, \"target\": 6}, {\"weight\": 12569, \"source\": 5, \"target\": 8}, {\"weight\": 13178, \"source\": 5, \"target\": 7}, {\"weight\": 2932, \"source\": 6, \"target\": 8}, {\"weight\": 15564, \"source\": 6, \"target\": 7}, {\"weight\": 14887, \"source\": 7, \"target\": 8}]}",
"id": 885,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: AMH, BBO, YAK, PET, SZI, NER, XGR, INH, ATW\n- Travel distances (in kilometers) between each pair of airports:\nAMH to XGR: 11996\nAMH to PET: 11351\nAMH to ATW: 12672\nAMH to YAK: 15676\nAMH to SZI: 6871\nAMH to BBO: 1072\nAMH to NER: 9351\nAMH to INH: 4658\nBBO to XGR: 11896\nBBO to PET: 11719\nBBO to ATW: 12660\nBBO to YAK: 15508\nBBO to SZI: 5982\nBBO to NER: 8464\nBBO to INH: 4719\nYAK to XGR: 6067\nYAK to PET: 13156\nYAK to ATW: 4399\nYAK to SZI: 14243\nYAK to NER: 12072\nYAK to INH: 19259\nPET to XGR: 10851\nPET to ATW: 9338\nPET to SZI: 16217\nPET to NER: 17876\nPET to INH: 9290\nSZI to XGR: 11608\nSZI to ATW: 11643\nSZI to NER: 5246\nSZI to INH: 10698\nNER to XGR: 13257\nNER to ATW: 12569\nNER to INH: 13178\nXGR to ATW: 2932\nXGR to INH: 15564\nINH to ATW: 14887\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, TCD, THX, SYM, ISE, BRR, NYI, HNL, LCH\n- Travel distances (in kilometers) between each pair of airports:\nEZS to SYM: 7674\nEZS to TCD: 12916\nEZS to HNL: 15152\nEZS to LCH: 11357\nEZS to BRR: 4046\nEZS to NYI: 6145\nEZS to ISE: 1369\nEZS to THX: 6432\nTCD to SYM: 18584\nTCD to HNL: 10931\nTCD to LCH: 5031\nTCD to BRR: 10224\nTCD to NYI: 11651\nTCD to ISE: 12352\nTCD to THX: 16256\nTHX to SYM: 6017\nTHX to HNL: 11147\nTHX to LCH: 13827\nTHX to BRR: 7235\nTHX to NYI: 11090\nTHX to ISE: 6314\nSYM to HNL: 10205\nSYM to LCH: 14178\nSYM to BRR: 9719\nSYM to NYI: 11647\nSYM to ISE: 7794\nISE to HNL: 14594\nISE to LCH: 10828\nISE to BRR: 3517\nISE to NYI: 5580\nBRR to HNL: 11654\nBRR to LCH: 7771\nBRR to NYI: 6150\nNYI to HNL: 16535\nNYI to LCH: 10975\nHNL to LCH: 6476\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 56848,
"style": "rule"
}
|
{
"exact_answer": 56848,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"EZS\", \"id\": 0}, {\"name\": \"TCD\", \"id\": 1}, {\"name\": \"THX\", \"id\": 2}, {\"name\": \"SYM\", \"id\": 3}, {\"name\": \"ISE\", \"id\": 4}, {\"name\": \"BRR\", \"id\": 5}, {\"name\": \"NYI\", \"id\": 6}, {\"name\": \"HNL\", \"id\": 7}, {\"name\": \"LCH\", \"id\": 8}], \"links\": [{\"weight\": 7674, \"source\": 0, \"target\": 3}, {\"weight\": 12916, \"source\": 0, \"target\": 1}, {\"weight\": 15152, \"source\": 0, \"target\": 7}, {\"weight\": 11357, \"source\": 0, \"target\": 8}, {\"weight\": 4046, \"source\": 0, \"target\": 5}, {\"weight\": 6145, \"source\": 0, \"target\": 6}, {\"weight\": 1369, \"source\": 0, \"target\": 4}, {\"weight\": 6432, \"source\": 0, \"target\": 2}, {\"weight\": 18584, \"source\": 1, \"target\": 3}, {\"weight\": 10931, \"source\": 1, \"target\": 7}, {\"weight\": 5031, \"source\": 1, \"target\": 8}, {\"weight\": 10224, \"source\": 1, \"target\": 5}, {\"weight\": 11651, \"source\": 1, \"target\": 6}, {\"weight\": 12352, \"source\": 1, \"target\": 4}, {\"weight\": 16256, \"source\": 1, \"target\": 2}, {\"weight\": 6017, \"source\": 2, \"target\": 3}, {\"weight\": 11147, \"source\": 2, \"target\": 7}, {\"weight\": 13827, \"source\": 2, \"target\": 8}, {\"weight\": 7235, \"source\": 2, \"target\": 5}, {\"weight\": 11090, \"source\": 2, \"target\": 6}, {\"weight\": 6314, \"source\": 2, \"target\": 4}, {\"weight\": 10205, \"source\": 3, \"target\": 7}, {\"weight\": 14178, \"source\": 3, \"target\": 8}, {\"weight\": 9719, \"source\": 3, \"target\": 5}, {\"weight\": 11647, \"source\": 3, \"target\": 6}, {\"weight\": 7794, \"source\": 3, \"target\": 4}, {\"weight\": 14594, \"source\": 4, \"target\": 7}, {\"weight\": 10828, \"source\": 4, \"target\": 8}, {\"weight\": 3517, \"source\": 4, \"target\": 5}, {\"weight\": 5580, \"source\": 4, \"target\": 6}, {\"weight\": 11654, \"source\": 5, \"target\": 7}, {\"weight\": 7771, \"source\": 5, \"target\": 8}, {\"weight\": 6150, \"source\": 5, \"target\": 6}, {\"weight\": 16535, \"source\": 6, \"target\": 7}, {\"weight\": 10975, \"source\": 6, \"target\": 8}, {\"weight\": 6476, \"source\": 7, \"target\": 8}]}",
"id": 886,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, TCD, THX, SYM, ISE, BRR, NYI, HNL, LCH\n- Travel distances (in kilometers) between each pair of airports:\nEZS to SYM: 7674\nEZS to TCD: 12916\nEZS to HNL: 15152\nEZS to LCH: 11357\nEZS to BRR: 4046\nEZS to NYI: 6145\nEZS to ISE: 1369\nEZS to THX: 6432\nTCD to SYM: 18584\nTCD to HNL: 10931\nTCD to LCH: 5031\nTCD to BRR: 10224\nTCD to NYI: 11651\nTCD to ISE: 12352\nTCD to THX: 16256\nTHX to SYM: 6017\nTHX to HNL: 11147\nTHX to LCH: 13827\nTHX to BRR: 7235\nTHX to NYI: 11090\nTHX to ISE: 6314\nSYM to HNL: 10205\nSYM to LCH: 14178\nSYM to BRR: 9719\nSYM to NYI: 11647\nSYM to ISE: 7794\nISE to HNL: 14594\nISE to LCH: 10828\nISE to BRR: 3517\nISE to NYI: 5580\nBRR to HNL: 11654\nBRR to LCH: 7771\nBRR to NYI: 6150\nNYI to HNL: 16535\nNYI to LCH: 10975\nHNL to LCH: 6476\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PDS, SID, BOI, PCL, PNA, YQK, OAK, PLM, INL\n- Travel distances (in kilometers) between each pair of airports:\nPDS to PCL: 5552\nPDS to BOI: 4232\nPDS to OAK: 4071\nPDS to PLM: 18121\nPDS to PNA: 10399\nPDS to INL: 4322\nPDS to SID: 10353\nPDS to YQK: 4754\nSID to PCL: 9179\nSID to BOI: 9293\nSID to OAK: 9981\nSID to PLM: 14727\nSID to PNA: 3606\nSID to INL: 7870\nSID to YQK: 7696\nBOI to OAK: 823\nBOI to PCL: 7353\nBOI to PLM: 14099\nBOI to PNA: 9301\nBOI to INL: 2241\nBOI to YQK: 2508\nPCL to OAK: 7459\nPCL to PLM: 20228\nPCL to PNA: 10317\nPCL to INL: 6749\nPCL to YQK: 7181\nPNA to OAK: 9992\nPNA to PLM: 12097\nPNA to INL: 7878\nPNA to YQK: 7705\nYQK to OAK: 2967\nYQK to PLM: 15179\nYQK to INL: 1250\nOAK to PLM: 14454\nOAK to INL: 2943\nPLM to INL: 15798\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 53791,
"style": "rule"
}
|
{
"exact_answer": 53791,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"PDS\", \"id\": 0}, {\"name\": \"SID\", \"id\": 1}, {\"name\": \"BOI\", \"id\": 2}, {\"name\": \"PCL\", \"id\": 3}, {\"name\": \"PNA\", \"id\": 4}, {\"name\": \"YQK\", \"id\": 5}, {\"name\": \"OAK\", \"id\": 6}, {\"name\": \"PLM\", \"id\": 7}, {\"name\": \"INL\", \"id\": 8}], \"links\": [{\"weight\": 5552, \"source\": 0, \"target\": 3}, {\"weight\": 4232, \"source\": 0, \"target\": 2}, {\"weight\": 4071, \"source\": 0, \"target\": 6}, {\"weight\": 18121, \"source\": 0, \"target\": 7}, {\"weight\": 10399, \"source\": 0, \"target\": 4}, {\"weight\": 4322, \"source\": 0, \"target\": 8}, {\"weight\": 10353, \"source\": 0, \"target\": 1}, {\"weight\": 4754, \"source\": 0, \"target\": 5}, {\"weight\": 9179, \"source\": 1, \"target\": 3}, {\"weight\": 9293, \"source\": 1, \"target\": 2}, {\"weight\": 9981, \"source\": 1, \"target\": 6}, {\"weight\": 14727, \"source\": 1, \"target\": 7}, {\"weight\": 3606, \"source\": 1, \"target\": 4}, {\"weight\": 7870, \"source\": 1, \"target\": 8}, {\"weight\": 7696, \"source\": 1, \"target\": 5}, {\"weight\": 823, \"source\": 2, \"target\": 6}, {\"weight\": 7353, \"source\": 2, \"target\": 3}, {\"weight\": 14099, \"source\": 2, \"target\": 7}, {\"weight\": 9301, \"source\": 2, \"target\": 4}, {\"weight\": 2241, \"source\": 2, \"target\": 8}, {\"weight\": 2508, \"source\": 2, \"target\": 5}, {\"weight\": 7459, \"source\": 3, \"target\": 6}, {\"weight\": 20228, \"source\": 3, \"target\": 7}, {\"weight\": 10317, \"source\": 3, \"target\": 4}, {\"weight\": 6749, \"source\": 3, \"target\": 8}, {\"weight\": 7181, \"source\": 3, \"target\": 5}, {\"weight\": 9992, \"source\": 4, \"target\": 6}, {\"weight\": 12097, \"source\": 4, \"target\": 7}, {\"weight\": 7878, \"source\": 4, \"target\": 8}, {\"weight\": 7705, \"source\": 4, \"target\": 5}, {\"weight\": 2967, \"source\": 5, \"target\": 6}, {\"weight\": 15179, \"source\": 5, \"target\": 7}, {\"weight\": 1250, \"source\": 5, \"target\": 8}, {\"weight\": 14454, \"source\": 6, \"target\": 7}, {\"weight\": 2943, \"source\": 6, \"target\": 8}, {\"weight\": 15798, \"source\": 7, \"target\": 8}]}",
"id": 887,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PDS, SID, BOI, PCL, PNA, YQK, OAK, PLM, INL\n- Travel distances (in kilometers) between each pair of airports:\nPDS to PCL: 5552\nPDS to BOI: 4232\nPDS to OAK: 4071\nPDS to PLM: 18121\nPDS to PNA: 10399\nPDS to INL: 4322\nPDS to SID: 10353\nPDS to YQK: 4754\nSID to PCL: 9179\nSID to BOI: 9293\nSID to OAK: 9981\nSID to PLM: 14727\nSID to PNA: 3606\nSID to INL: 7870\nSID to YQK: 7696\nBOI to OAK: 823\nBOI to PCL: 7353\nBOI to PLM: 14099\nBOI to PNA: 9301\nBOI to INL: 2241\nBOI to YQK: 2508\nPCL to OAK: 7459\nPCL to PLM: 20228\nPCL to PNA: 10317\nPCL to INL: 6749\nPCL to YQK: 7181\nPNA to OAK: 9992\nPNA to PLM: 12097\nPNA to INL: 7878\nPNA to YQK: 7705\nYQK to OAK: 2967\nYQK to PLM: 15179\nYQK to INL: 1250\nOAK to PLM: 14454\nOAK to INL: 2943\nPLM to INL: 15798\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: VNS, LWN, CDJ, ZAT, FAR, YMN, DEN, OSW, CBO\n- Travel distances (in kilometers) between each pair of airports:\nVNS to CBO: 5293\nVNS to DEN: 13827\nVNS to FAR: 13581\nVNS to ZAT: 2386\nVNS to YMN: 12168\nVNS to OSW: 6426\nVNS to CDJ: 15479\nVNS to LWN: 6661\nLWN to CBO: 10828\nLWN to DEN: 10794\nLWN to FAR: 10684\nLWN to ZAT: 8307\nLWN to YMN: 9002\nLWN to OSW: 3139\nLWN to CDJ: 12903\nCDJ to CBO: 20259\nCDJ to DEN: 8148\nCDJ to FAR: 7988\nCDJ to ZAT: 17610\nCDJ to YMN: 8172\nCDJ to OSW: 12668\nZAT to CBO: 3469\nZAT to DEN: 12132\nZAT to FAR: 13005\nZAT to YMN: 13706\nZAT to OSW: 8072\nFAR to DEN: 1008\nFAR to CBO: 13849\nFAR to YMN: 3502\nFAR to OSW: 10449\nYMN to CBO: 16239\nYMN to DEN: 4207\nYMN to OSW: 8767\nDEN to CBO: 13231\nDEN to OSW: 10559\nOSW to CBO: 10593\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 54236,
"style": "rule"
}
|
{
"exact_answer": 54236,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"VNS\", \"id\": 0}, {\"name\": \"LWN\", \"id\": 1}, {\"name\": \"CDJ\", \"id\": 2}, {\"name\": \"ZAT\", \"id\": 3}, {\"name\": \"FAR\", \"id\": 4}, {\"name\": \"YMN\", \"id\": 5}, {\"name\": \"DEN\", \"id\": 6}, {\"name\": \"OSW\", \"id\": 7}, {\"name\": \"CBO\", \"id\": 8}], \"links\": [{\"weight\": 5293, \"source\": 0, \"target\": 8}, {\"weight\": 13827, \"source\": 0, \"target\": 6}, {\"weight\": 13581, \"source\": 0, \"target\": 4}, {\"weight\": 2386, \"source\": 0, \"target\": 3}, {\"weight\": 12168, \"source\": 0, \"target\": 5}, {\"weight\": 6426, \"source\": 0, \"target\": 7}, {\"weight\": 15479, \"source\": 0, \"target\": 2}, {\"weight\": 6661, \"source\": 0, \"target\": 1}, {\"weight\": 10828, \"source\": 1, \"target\": 8}, {\"weight\": 10794, \"source\": 1, \"target\": 6}, {\"weight\": 10684, \"source\": 1, \"target\": 4}, {\"weight\": 8307, \"source\": 1, \"target\": 3}, {\"weight\": 9002, \"source\": 1, \"target\": 5}, {\"weight\": 3139, \"source\": 1, \"target\": 7}, {\"weight\": 12903, \"source\": 1, \"target\": 2}, {\"weight\": 20259, \"source\": 2, \"target\": 8}, {\"weight\": 8148, \"source\": 2, \"target\": 6}, {\"weight\": 7988, \"source\": 2, \"target\": 4}, {\"weight\": 17610, \"source\": 2, \"target\": 3}, {\"weight\": 8172, \"source\": 2, \"target\": 5}, {\"weight\": 12668, \"source\": 2, \"target\": 7}, {\"weight\": 3469, \"source\": 3, \"target\": 8}, {\"weight\": 12132, \"source\": 3, \"target\": 6}, {\"weight\": 13005, \"source\": 3, \"target\": 4}, {\"weight\": 13706, \"source\": 3, \"target\": 5}, {\"weight\": 8072, \"source\": 3, \"target\": 7}, {\"weight\": 1008, \"source\": 4, \"target\": 6}, {\"weight\": 13849, \"source\": 4, \"target\": 8}, {\"weight\": 3502, \"source\": 4, \"target\": 5}, {\"weight\": 10449, \"source\": 4, \"target\": 7}, {\"weight\": 16239, \"source\": 5, \"target\": 8}, {\"weight\": 4207, \"source\": 5, \"target\": 6}, {\"weight\": 8767, \"source\": 5, \"target\": 7}, {\"weight\": 13231, \"source\": 6, \"target\": 8}, {\"weight\": 10559, \"source\": 6, \"target\": 7}, {\"weight\": 10593, \"source\": 7, \"target\": 8}]}",
"id": 888,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: VNS, LWN, CDJ, ZAT, FAR, YMN, DEN, OSW, CBO\n- Travel distances (in kilometers) between each pair of airports:\nVNS to CBO: 5293\nVNS to DEN: 13827\nVNS to FAR: 13581\nVNS to ZAT: 2386\nVNS to YMN: 12168\nVNS to OSW: 6426\nVNS to CDJ: 15479\nVNS to LWN: 6661\nLWN to CBO: 10828\nLWN to DEN: 10794\nLWN to FAR: 10684\nLWN to ZAT: 8307\nLWN to YMN: 9002\nLWN to OSW: 3139\nLWN to CDJ: 12903\nCDJ to CBO: 20259\nCDJ to DEN: 8148\nCDJ to FAR: 7988\nCDJ to ZAT: 17610\nCDJ to YMN: 8172\nCDJ to OSW: 12668\nZAT to CBO: 3469\nZAT to DEN: 12132\nZAT to FAR: 13005\nZAT to YMN: 13706\nZAT to OSW: 8072\nFAR to DEN: 1008\nFAR to CBO: 13849\nFAR to YMN: 3502\nFAR to OSW: 10449\nYMN to CBO: 16239\nYMN to DEN: 4207\nYMN to OSW: 8767\nDEN to CBO: 13231\nDEN to OSW: 10559\nOSW to CBO: 10593\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CNP, EIS, MGH, BVA, AUC, PBJ, KUH, GLV, ABQ\n- Travel distances (in kilometers) between each pair of airports:\nCNP to MGH: 14459\nCNP to GLV: 11909\nCNP to EIS: 9579\nCNP to AUC: 11525\nCNP to BVA: 5109\nCNP to ABQ: 9215\nCNP to KUH: 13317\nCNP to PBJ: 19222\nEIS to MGH: 13109\nEIS to GLV: 8868\nEIS to AUC: 2377\nEIS to BVA: 7714\nEIS to ABQ: 4539\nEIS to KUH: 14472\nEIS to PBJ: 15585\nMGH to GLV: 19932\nMGH to AUC: 12796\nMGH to BVA: 9872\nMGH to ABQ: 16182\nMGH to KUH: 14583\nMGH to PBJ: 14210\nBVA to GLV: 11164\nBVA to AUC: 9325\nBVA to ABQ: 8418\nBVA to KUH: 9768\nBVA to PBJ: 17483\nAUC to GLV: 10133\nAUC to ABQ: 5239\nAUC to KUH: 15682\nAUC to PBJ: 16056\nPBJ to GLV: 11532\nPBJ to ABQ: 11084\nPBJ to KUH: 8637\nKUH to GLV: 11553\nKUH to ABQ: 10521\nGLV to ABQ: 5051\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 71627,
"style": "rule"
}
|
{
"exact_answer": 71627,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"CNP\", \"id\": 0}, {\"name\": \"EIS\", \"id\": 1}, {\"name\": \"MGH\", \"id\": 2}, {\"name\": \"BVA\", \"id\": 3}, {\"name\": \"AUC\", \"id\": 4}, {\"name\": \"PBJ\", \"id\": 5}, {\"name\": \"KUH\", \"id\": 6}, {\"name\": \"GLV\", \"id\": 7}, {\"name\": \"ABQ\", \"id\": 8}], \"links\": [{\"weight\": 14459, \"source\": 0, \"target\": 2}, {\"weight\": 11909, \"source\": 0, \"target\": 7}, {\"weight\": 9579, \"source\": 0, \"target\": 1}, {\"weight\": 11525, \"source\": 0, \"target\": 4}, {\"weight\": 5109, \"source\": 0, \"target\": 3}, {\"weight\": 9215, \"source\": 0, \"target\": 8}, {\"weight\": 13317, \"source\": 0, \"target\": 6}, {\"weight\": 19222, \"source\": 0, \"target\": 5}, {\"weight\": 13109, \"source\": 1, \"target\": 2}, {\"weight\": 8868, \"source\": 1, \"target\": 7}, {\"weight\": 2377, \"source\": 1, \"target\": 4}, {\"weight\": 7714, \"source\": 1, \"target\": 3}, {\"weight\": 4539, \"source\": 1, \"target\": 8}, {\"weight\": 14472, \"source\": 1, \"target\": 6}, {\"weight\": 15585, \"source\": 1, \"target\": 5}, {\"weight\": 19932, \"source\": 2, \"target\": 7}, {\"weight\": 12796, \"source\": 2, \"target\": 4}, {\"weight\": 9872, \"source\": 2, \"target\": 3}, {\"weight\": 16182, \"source\": 2, \"target\": 8}, {\"weight\": 14583, \"source\": 2, \"target\": 6}, {\"weight\": 14210, \"source\": 2, \"target\": 5}, {\"weight\": 11164, \"source\": 3, \"target\": 7}, {\"weight\": 9325, \"source\": 3, \"target\": 4}, {\"weight\": 8418, \"source\": 3, \"target\": 8}, {\"weight\": 9768, \"source\": 3, \"target\": 6}, {\"weight\": 17483, \"source\": 3, \"target\": 5}, {\"weight\": 10133, \"source\": 4, \"target\": 7}, {\"weight\": 5239, \"source\": 4, \"target\": 8}, {\"weight\": 15682, \"source\": 4, \"target\": 6}, {\"weight\": 16056, \"source\": 4, \"target\": 5}, {\"weight\": 11532, \"source\": 5, \"target\": 7}, {\"weight\": 11084, \"source\": 5, \"target\": 8}, {\"weight\": 8637, \"source\": 5, \"target\": 6}, {\"weight\": 11553, \"source\": 6, \"target\": 7}, {\"weight\": 10521, \"source\": 6, \"target\": 8}, {\"weight\": 5051, \"source\": 7, \"target\": 8}]}",
"id": 889,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CNP, EIS, MGH, BVA, AUC, PBJ, KUH, GLV, ABQ\n- Travel distances (in kilometers) between each pair of airports:\nCNP to MGH: 14459\nCNP to GLV: 11909\nCNP to EIS: 9579\nCNP to AUC: 11525\nCNP to BVA: 5109\nCNP to ABQ: 9215\nCNP to KUH: 13317\nCNP to PBJ: 19222\nEIS to MGH: 13109\nEIS to GLV: 8868\nEIS to AUC: 2377\nEIS to BVA: 7714\nEIS to ABQ: 4539\nEIS to KUH: 14472\nEIS to PBJ: 15585\nMGH to GLV: 19932\nMGH to AUC: 12796\nMGH to BVA: 9872\nMGH to ABQ: 16182\nMGH to KUH: 14583\nMGH to PBJ: 14210\nBVA to GLV: 11164\nBVA to AUC: 9325\nBVA to ABQ: 8418\nBVA to KUH: 9768\nBVA to PBJ: 17483\nAUC to GLV: 10133\nAUC to ABQ: 5239\nAUC to KUH: 15682\nAUC to PBJ: 16056\nPBJ to GLV: 11532\nPBJ to ABQ: 11084\nPBJ to KUH: 8637\nKUH to GLV: 11553\nKUH to ABQ: 10521\nGLV to ABQ: 5051\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CEG, AZA, SZX, ANV, HTI, BKW, NAT, CAL, PEM\n- Travel distances (in kilometers) between each pair of airports:\nCEG to PEM: 11713\nCEG to SZX: 9959\nCEG to ANV: 10786\nCEG to NAT: 7338\nCEG to CAL: 803\nCEG to AZA: 8716\nCEG to HTI: 16073\nCEG to BKW: 6301\nAZA to PEM: 7973\nAZA to SZX: 12156\nAZA to ANV: 4780\nAZA to NAT: 9611\nAZA to CAL: 8366\nAZA to HTI: 13245\nAZA to BKW: 3580\nSZX to PEM: 19227\nSZX to ANV: 13375\nSZX to NAT: 16647\nSZX to CAL: 9955\nSZX to HTI: 6703\nSZX to BKW: 13413\nANV to PEM: 11804\nANV to NAT: 13025\nANV to CAL: 10208\nANV to HTI: 13547\nANV to BKW: 6477\nHTI to PEM: 15591\nHTI to NAT: 17680\nHTI to CAL: 16069\nHTI to BKW: 16438\nBKW to PEM: 6888\nBKW to NAT: 7326\nBKW to CAL: 5958\nNAT to PEM: 5512\nNAT to CAL: 7680\nCAL to PEM: 11556\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 59106,
"style": "rule"
}
|
{
"exact_answer": 59106,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"CEG\", \"id\": 0}, {\"name\": \"AZA\", \"id\": 1}, {\"name\": \"SZX\", \"id\": 2}, {\"name\": \"ANV\", \"id\": 3}, {\"name\": \"HTI\", \"id\": 4}, {\"name\": \"BKW\", \"id\": 5}, {\"name\": \"NAT\", \"id\": 6}, {\"name\": \"CAL\", \"id\": 7}, {\"name\": \"PEM\", \"id\": 8}], \"links\": [{\"weight\": 11713, \"source\": 0, \"target\": 8}, {\"weight\": 9959, \"source\": 0, \"target\": 2}, {\"weight\": 10786, \"source\": 0, \"target\": 3}, {\"weight\": 7338, \"source\": 0, \"target\": 6}, {\"weight\": 803, \"source\": 0, \"target\": 7}, {\"weight\": 8716, \"source\": 0, \"target\": 1}, {\"weight\": 16073, \"source\": 0, \"target\": 4}, {\"weight\": 6301, \"source\": 0, \"target\": 5}, {\"weight\": 7973, \"source\": 1, \"target\": 8}, {\"weight\": 12156, \"source\": 1, \"target\": 2}, {\"weight\": 4780, \"source\": 1, \"target\": 3}, {\"weight\": 9611, \"source\": 1, \"target\": 6}, {\"weight\": 8366, \"source\": 1, \"target\": 7}, {\"weight\": 13245, \"source\": 1, \"target\": 4}, {\"weight\": 3580, \"source\": 1, \"target\": 5}, {\"weight\": 19227, \"source\": 2, \"target\": 8}, {\"weight\": 13375, \"source\": 2, \"target\": 3}, {\"weight\": 16647, \"source\": 2, \"target\": 6}, {\"weight\": 9955, \"source\": 2, \"target\": 7}, {\"weight\": 6703, \"source\": 2, \"target\": 4}, {\"weight\": 13413, \"source\": 2, \"target\": 5}, {\"weight\": 11804, \"source\": 3, \"target\": 8}, {\"weight\": 13025, \"source\": 3, \"target\": 6}, {\"weight\": 10208, \"source\": 3, \"target\": 7}, {\"weight\": 13547, \"source\": 3, \"target\": 4}, {\"weight\": 6477, \"source\": 3, \"target\": 5}, {\"weight\": 15591, \"source\": 4, \"target\": 8}, {\"weight\": 17680, \"source\": 4, \"target\": 6}, {\"weight\": 16069, \"source\": 4, \"target\": 7}, {\"weight\": 16438, \"source\": 4, \"target\": 5}, {\"weight\": 6888, \"source\": 5, \"target\": 8}, {\"weight\": 7326, \"source\": 5, \"target\": 6}, {\"weight\": 5958, \"source\": 5, \"target\": 7}, {\"weight\": 5512, \"source\": 6, \"target\": 8}, {\"weight\": 7680, \"source\": 6, \"target\": 7}, {\"weight\": 11556, \"source\": 7, \"target\": 8}]}",
"id": 890,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CEG, AZA, SZX, ANV, HTI, BKW, NAT, CAL, PEM\n- Travel distances (in kilometers) between each pair of airports:\nCEG to PEM: 11713\nCEG to SZX: 9959\nCEG to ANV: 10786\nCEG to NAT: 7338\nCEG to CAL: 803\nCEG to AZA: 8716\nCEG to HTI: 16073\nCEG to BKW: 6301\nAZA to PEM: 7973\nAZA to SZX: 12156\nAZA to ANV: 4780\nAZA to NAT: 9611\nAZA to CAL: 8366\nAZA to HTI: 13245\nAZA to BKW: 3580\nSZX to PEM: 19227\nSZX to ANV: 13375\nSZX to NAT: 16647\nSZX to CAL: 9955\nSZX to HTI: 6703\nSZX to BKW: 13413\nANV to PEM: 11804\nANV to NAT: 13025\nANV to CAL: 10208\nANV to HTI: 13547\nANV to BKW: 6477\nHTI to PEM: 15591\nHTI to NAT: 17680\nHTI to CAL: 16069\nHTI to BKW: 16438\nBKW to PEM: 6888\nBKW to NAT: 7326\nBKW to CAL: 5958\nNAT to PEM: 5512\nNAT to CAL: 7680\nCAL to PEM: 11556\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PAG, TUO, YBG, AFA, HBA, APO, CAW, AKF, SVU\n- Travel distances (in kilometers) between each pair of airports:\nPAG to AKF: 12022\nPAG to APO: 18060\nPAG to YBG: 14745\nPAG to CAW: 19373\nPAG to AFA: 19758\nPAG to SVU: 7277\nPAG to HBA: 7433\nPAG to TUO: 8268\nTUO to AKF: 18829\nTUO to APO: 14551\nTUO to YBG: 15061\nTUO to CAW: 13064\nTUO to AFA: 11936\nTUO to SVU: 2523\nTUO to HBA: 3420\nYBG to AKF: 8827\nYBG to APO: 5313\nYBG to CAW: 8936\nYBG to AFA: 10711\nYBG to SVU: 13470\nYBG to HBA: 17442\nAFA to AKF: 13447\nAFA to APO: 6384\nAFA to CAW: 3116\nAFA to SVU: 14013\nAFA to HBA: 14438\nHBA to AKF: 16639\nHBA to APO: 17053\nHBA to CAW: 15566\nHBA to SVU: 4434\nAPO to AKF: 11364\nAPO to CAW: 5337\nAPO to SVU: 14940\nCAW to AKF: 10610\nCAW to SVU: 15141\nAKF to SVU: 18480\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 60941,
"style": "rule"
}
|
{
"exact_answer": 60941,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"PAG\", \"id\": 0}, {\"name\": \"TUO\", \"id\": 1}, {\"name\": \"YBG\", \"id\": 2}, {\"name\": \"AFA\", \"id\": 3}, {\"name\": \"HBA\", \"id\": 4}, {\"name\": \"APO\", \"id\": 5}, {\"name\": \"CAW\", \"id\": 6}, {\"name\": \"AKF\", \"id\": 7}, {\"name\": \"SVU\", \"id\": 8}], \"links\": [{\"weight\": 12022, \"source\": 0, \"target\": 7}, {\"weight\": 18060, \"source\": 0, \"target\": 5}, {\"weight\": 14745, \"source\": 0, \"target\": 2}, {\"weight\": 19373, \"source\": 0, \"target\": 6}, {\"weight\": 19758, \"source\": 0, \"target\": 3}, {\"weight\": 7277, \"source\": 0, \"target\": 8}, {\"weight\": 7433, \"source\": 0, \"target\": 4}, {\"weight\": 8268, \"source\": 0, \"target\": 1}, {\"weight\": 18829, \"source\": 1, \"target\": 7}, {\"weight\": 14551, \"source\": 1, \"target\": 5}, {\"weight\": 15061, \"source\": 1, \"target\": 2}, {\"weight\": 13064, \"source\": 1, \"target\": 6}, {\"weight\": 11936, \"source\": 1, \"target\": 3}, {\"weight\": 2523, \"source\": 1, \"target\": 8}, {\"weight\": 3420, \"source\": 1, \"target\": 4}, {\"weight\": 8827, \"source\": 2, \"target\": 7}, {\"weight\": 5313, \"source\": 2, \"target\": 5}, {\"weight\": 8936, \"source\": 2, \"target\": 6}, {\"weight\": 10711, \"source\": 2, \"target\": 3}, {\"weight\": 13470, \"source\": 2, \"target\": 8}, {\"weight\": 17442, \"source\": 2, \"target\": 4}, {\"weight\": 13447, \"source\": 3, \"target\": 7}, {\"weight\": 6384, \"source\": 3, \"target\": 5}, {\"weight\": 3116, \"source\": 3, \"target\": 6}, {\"weight\": 14013, \"source\": 3, \"target\": 8}, {\"weight\": 14438, \"source\": 3, \"target\": 4}, {\"weight\": 16639, \"source\": 4, \"target\": 7}, {\"weight\": 17053, \"source\": 4, \"target\": 5}, {\"weight\": 15566, \"source\": 4, \"target\": 6}, {\"weight\": 4434, \"source\": 4, \"target\": 8}, {\"weight\": 11364, \"source\": 5, \"target\": 7}, {\"weight\": 5337, \"source\": 5, \"target\": 6}, {\"weight\": 14940, \"source\": 5, \"target\": 8}, {\"weight\": 10610, \"source\": 6, \"target\": 7}, {\"weight\": 15141, \"source\": 6, \"target\": 8}, {\"weight\": 18480, \"source\": 7, \"target\": 8}]}",
"id": 891,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PAG, TUO, YBG, AFA, HBA, APO, CAW, AKF, SVU\n- Travel distances (in kilometers) between each pair of airports:\nPAG to AKF: 12022\nPAG to APO: 18060\nPAG to YBG: 14745\nPAG to CAW: 19373\nPAG to AFA: 19758\nPAG to SVU: 7277\nPAG to HBA: 7433\nPAG to TUO: 8268\nTUO to AKF: 18829\nTUO to APO: 14551\nTUO to YBG: 15061\nTUO to CAW: 13064\nTUO to AFA: 11936\nTUO to SVU: 2523\nTUO to HBA: 3420\nYBG to AKF: 8827\nYBG to APO: 5313\nYBG to CAW: 8936\nYBG to AFA: 10711\nYBG to SVU: 13470\nYBG to HBA: 17442\nAFA to AKF: 13447\nAFA to APO: 6384\nAFA to CAW: 3116\nAFA to SVU: 14013\nAFA to HBA: 14438\nHBA to AKF: 16639\nHBA to APO: 17053\nHBA to CAW: 15566\nHBA to SVU: 4434\nAPO to AKF: 11364\nAPO to CAW: 5337\nAPO to SVU: 14940\nCAW to AKF: 10610\nCAW to SVU: 15141\nAKF to SVU: 18480\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BVI, LLK, KOI, SHR, BBA, DLI, TBZ, CDC, BIL\n- Travel distances (in kilometers) between each pair of airports:\nBVI to BIL: 14260\nBVI to TBZ: 12456\nBVI to KOI: 15821\nBVI to CDC: 14150\nBVI to BBA: 14764\nBVI to LLK: 15347\nBVI to DLI: 6531\nBVI to SHR: 14925\nLLK to BIL: 11861\nLLK to TBZ: 4326\nLLK to KOI: 4671\nLLK to CDC: 12084\nLLK to BBA: 17570\nLLK to DLI: 9803\nLLK to SHR: 11707\nKOI to BIL: 7925\nKOI to TBZ: 4628\nKOI to CDC: 8345\nKOI to BBA: 14169\nKOI to DLI: 10419\nKOI to SHR: 8005\nSHR to BIL: 1309\nSHR to TBZ: 11945\nSHR to CDC: 1560\nSHR to BBA: 10869\nSHR to DLI: 14020\nBBA to BIL: 11024\nBBA to TBZ: 16094\nBBA to CDC: 11179\nBBA to DLI: 19791\nDLI to BIL: 12894\nDLI to TBZ: 6928\nDLI to CDC: 13291\nTBZ to BIL: 11612\nTBZ to CDC: 12263\nCDC to BIL: 979\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 58553,
"style": "rule"
}
|
{
"exact_answer": 58553,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"BVI\", \"id\": 0}, {\"name\": \"LLK\", \"id\": 1}, {\"name\": \"KOI\", \"id\": 2}, {\"name\": \"SHR\", \"id\": 3}, {\"name\": \"BBA\", \"id\": 4}, {\"name\": \"DLI\", \"id\": 5}, {\"name\": \"TBZ\", \"id\": 6}, {\"name\": \"CDC\", \"id\": 7}, {\"name\": \"BIL\", \"id\": 8}], \"links\": [{\"weight\": 14260, \"source\": 0, \"target\": 8}, {\"weight\": 12456, \"source\": 0, \"target\": 6}, {\"weight\": 15821, \"source\": 0, \"target\": 2}, {\"weight\": 14150, \"source\": 0, \"target\": 7}, {\"weight\": 14764, \"source\": 0, \"target\": 4}, {\"weight\": 15347, \"source\": 0, \"target\": 1}, {\"weight\": 6531, \"source\": 0, \"target\": 5}, {\"weight\": 14925, \"source\": 0, \"target\": 3}, {\"weight\": 11861, \"source\": 1, \"target\": 8}, {\"weight\": 4326, \"source\": 1, \"target\": 6}, {\"weight\": 4671, \"source\": 1, \"target\": 2}, {\"weight\": 12084, \"source\": 1, \"target\": 7}, {\"weight\": 17570, \"source\": 1, \"target\": 4}, {\"weight\": 9803, \"source\": 1, \"target\": 5}, {\"weight\": 11707, \"source\": 1, \"target\": 3}, {\"weight\": 7925, \"source\": 2, \"target\": 8}, {\"weight\": 4628, \"source\": 2, \"target\": 6}, {\"weight\": 8345, \"source\": 2, \"target\": 7}, {\"weight\": 14169, \"source\": 2, \"target\": 4}, {\"weight\": 10419, \"source\": 2, \"target\": 5}, {\"weight\": 8005, \"source\": 2, \"target\": 3}, {\"weight\": 1309, \"source\": 3, \"target\": 8}, {\"weight\": 11945, \"source\": 3, \"target\": 6}, {\"weight\": 1560, \"source\": 3, \"target\": 7}, {\"weight\": 10869, \"source\": 3, \"target\": 4}, {\"weight\": 14020, \"source\": 3, \"target\": 5}, {\"weight\": 11024, \"source\": 4, \"target\": 8}, {\"weight\": 16094, \"source\": 4, \"target\": 6}, {\"weight\": 11179, \"source\": 4, \"target\": 7}, {\"weight\": 19791, \"source\": 4, \"target\": 5}, {\"weight\": 12894, \"source\": 5, \"target\": 8}, {\"weight\": 6928, \"source\": 5, \"target\": 6}, {\"weight\": 13291, \"source\": 5, \"target\": 7}, {\"weight\": 11612, \"source\": 6, \"target\": 8}, {\"weight\": 12263, \"source\": 6, \"target\": 7}, {\"weight\": 979, \"source\": 7, \"target\": 8}]}",
"id": 892,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BVI, LLK, KOI, SHR, BBA, DLI, TBZ, CDC, BIL\n- Travel distances (in kilometers) between each pair of airports:\nBVI to BIL: 14260\nBVI to TBZ: 12456\nBVI to KOI: 15821\nBVI to CDC: 14150\nBVI to BBA: 14764\nBVI to LLK: 15347\nBVI to DLI: 6531\nBVI to SHR: 14925\nLLK to BIL: 11861\nLLK to TBZ: 4326\nLLK to KOI: 4671\nLLK to CDC: 12084\nLLK to BBA: 17570\nLLK to DLI: 9803\nLLK to SHR: 11707\nKOI to BIL: 7925\nKOI to TBZ: 4628\nKOI to CDC: 8345\nKOI to BBA: 14169\nKOI to DLI: 10419\nKOI to SHR: 8005\nSHR to BIL: 1309\nSHR to TBZ: 11945\nSHR to CDC: 1560\nSHR to BBA: 10869\nSHR to DLI: 14020\nBBA to BIL: 11024\nBBA to TBZ: 16094\nBBA to CDC: 11179\nBBA to DLI: 19791\nDLI to BIL: 12894\nDLI to TBZ: 6928\nDLI to CDC: 13291\nTBZ to BIL: 11612\nTBZ to CDC: 12263\nCDC to BIL: 979\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: MYW, YQM, SVC, PYJ, JNS, EYW, YLE, YZG, RLG\n- Travel distances (in kilometers) between each pair of airports:\nMYW to YZG: 14164\nMYW to EYW: 15061\nMYW to RLG: 7838\nMYW to PYJ: 10370\nMYW to YLE: 15882\nMYW to YQM: 12655\nMYW to JNS: 11686\nMYW to SVC: 16739\nYQM to YZG: 2398\nYQM to EYW: 2878\nYQM to RLG: 5768\nYQM to PYJ: 11212\nYQM to YLE: 4117\nYQM to JNS: 6608\nYQM to SVC: 4588\nSVC to YZG: 4974\nSVC to EYW: 3492\nSVC to RLG: 9816\nSVC to PYJ: 13645\nSVC to YLE: 3764\nSVC to JNS: 8970\nPYJ to YZG: 12721\nPYJ to EYW: 13402\nPYJ to RLG: 6481\nPYJ to YLE: 13371\nPYJ to JNS: 9207\nJNS to YZG: 8245\nJNS to EYW: 8007\nJNS to RLG: 4658\nJNS to YLE: 8008\nEYW to YZG: 4498\nEYW to RLG: 8329\nEYW to YLE: 5415\nYLE to YZG: 3791\nYLE to RLG: 8854\nYZG to RLG: 7277\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 54635,
"style": "rule"
}
|
{
"exact_answer": 54635,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"MYW\", \"id\": 0}, {\"name\": \"YQM\", \"id\": 1}, {\"name\": \"SVC\", \"id\": 2}, {\"name\": \"PYJ\", \"id\": 3}, {\"name\": \"JNS\", \"id\": 4}, {\"name\": \"EYW\", \"id\": 5}, {\"name\": \"YLE\", \"id\": 6}, {\"name\": \"YZG\", \"id\": 7}, {\"name\": \"RLG\", \"id\": 8}], \"links\": [{\"weight\": 14164, \"source\": 0, \"target\": 7}, {\"weight\": 15061, \"source\": 0, \"target\": 5}, {\"weight\": 7838, \"source\": 0, \"target\": 8}, {\"weight\": 10370, \"source\": 0, \"target\": 3}, {\"weight\": 15882, \"source\": 0, \"target\": 6}, {\"weight\": 12655, \"source\": 0, \"target\": 1}, {\"weight\": 11686, \"source\": 0, \"target\": 4}, {\"weight\": 16739, \"source\": 0, \"target\": 2}, {\"weight\": 2398, \"source\": 1, \"target\": 7}, {\"weight\": 2878, \"source\": 1, \"target\": 5}, {\"weight\": 5768, \"source\": 1, \"target\": 8}, {\"weight\": 11212, \"source\": 1, \"target\": 3}, {\"weight\": 4117, \"source\": 1, \"target\": 6}, {\"weight\": 6608, \"source\": 1, \"target\": 4}, {\"weight\": 4588, \"source\": 1, \"target\": 2}, {\"weight\": 4974, \"source\": 2, \"target\": 7}, {\"weight\": 3492, \"source\": 2, \"target\": 5}, {\"weight\": 9816, \"source\": 2, \"target\": 8}, {\"weight\": 13645, \"source\": 2, \"target\": 3}, {\"weight\": 3764, \"source\": 2, \"target\": 6}, {\"weight\": 8970, \"source\": 2, \"target\": 4}, {\"weight\": 12721, \"source\": 3, \"target\": 7}, {\"weight\": 13402, \"source\": 3, \"target\": 5}, {\"weight\": 6481, \"source\": 3, \"target\": 8}, {\"weight\": 13371, \"source\": 3, \"target\": 6}, {\"weight\": 9207, \"source\": 3, \"target\": 4}, {\"weight\": 8245, \"source\": 4, \"target\": 7}, {\"weight\": 8007, \"source\": 4, \"target\": 5}, {\"weight\": 4658, \"source\": 4, \"target\": 8}, {\"weight\": 8008, \"source\": 4, \"target\": 6}, {\"weight\": 4498, \"source\": 5, \"target\": 7}, {\"weight\": 8329, \"source\": 5, \"target\": 8}, {\"weight\": 5415, \"source\": 5, \"target\": 6}, {\"weight\": 3791, \"source\": 6, \"target\": 7}, {\"weight\": 8854, \"source\": 6, \"target\": 8}, {\"weight\": 7277, \"source\": 7, \"target\": 8}]}",
"id": 893,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: MYW, YQM, SVC, PYJ, JNS, EYW, YLE, YZG, RLG\n- Travel distances (in kilometers) between each pair of airports:\nMYW to YZG: 14164\nMYW to EYW: 15061\nMYW to RLG: 7838\nMYW to PYJ: 10370\nMYW to YLE: 15882\nMYW to YQM: 12655\nMYW to JNS: 11686\nMYW to SVC: 16739\nYQM to YZG: 2398\nYQM to EYW: 2878\nYQM to RLG: 5768\nYQM to PYJ: 11212\nYQM to YLE: 4117\nYQM to JNS: 6608\nYQM to SVC: 4588\nSVC to YZG: 4974\nSVC to EYW: 3492\nSVC to RLG: 9816\nSVC to PYJ: 13645\nSVC to YLE: 3764\nSVC to JNS: 8970\nPYJ to YZG: 12721\nPYJ to EYW: 13402\nPYJ to RLG: 6481\nPYJ to YLE: 13371\nPYJ to JNS: 9207\nJNS to YZG: 8245\nJNS to EYW: 8007\nJNS to RLG: 4658\nJNS to YLE: 8008\nEYW to YZG: 4498\nEYW to RLG: 8329\nEYW to YLE: 5415\nYLE to YZG: 3791\nYLE to RLG: 8854\nYZG to RLG: 7277\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LPP, LGP, AHO, YGJ, GXH, UMD, MDT, DSM, TVY\n- Travel distances (in kilometers) between each pair of airports:\nLPP to LGP: 12435\nLPP to GXH: 10219\nLPP to TVY: 10901\nLPP to MDT: 7918\nLPP to DSM: 8952\nLPP to AHO: 2658\nLPP to YGJ: 10924\nLPP to UMD: 6035\nLGP to GXH: 3469\nLGP to TVY: 3503\nLGP to MDT: 14007\nLGP to DSM: 13305\nLGP to AHO: 11111\nLGP to YGJ: 3231\nLGP to UMD: 13888\nAHO to GXH: 8867\nAHO to TVY: 9007\nAHO to MDT: 7012\nAHO to DSM: 8166\nAHO to YGJ: 9957\nAHO to UMD: 5435\nYGJ to GXH: 2829\nYGJ to TVY: 4767\nYGJ to MDT: 11399\nYGJ to DSM: 10571\nYGJ to UMD: 12282\nGXH to TVY: 3271\nGXH to MDT: 12509\nGXH to DSM: 12535\nGXH to UMD: 11571\nUMD to TVY: 12434\nUMD to MDT: 6573\nUMD to DSM: 7510\nMDT to TVY: 14640\nMDT to DSM: 1432\nDSM to TVY: 14666\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 46077,
"style": "rule"
}
|
{
"exact_answer": 46077,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"LPP\", \"id\": 0}, {\"name\": \"LGP\", \"id\": 1}, {\"name\": \"AHO\", \"id\": 2}, {\"name\": \"YGJ\", \"id\": 3}, {\"name\": \"GXH\", \"id\": 4}, {\"name\": \"UMD\", \"id\": 5}, {\"name\": \"MDT\", \"id\": 6}, {\"name\": \"DSM\", \"id\": 7}, {\"name\": \"TVY\", \"id\": 8}], \"links\": [{\"weight\": 12435, \"source\": 0, \"target\": 1}, {\"weight\": 10219, \"source\": 0, \"target\": 4}, {\"weight\": 10901, \"source\": 0, \"target\": 8}, {\"weight\": 7918, \"source\": 0, \"target\": 6}, {\"weight\": 8952, \"source\": 0, \"target\": 7}, {\"weight\": 2658, \"source\": 0, \"target\": 2}, {\"weight\": 10924, \"source\": 0, \"target\": 3}, {\"weight\": 6035, \"source\": 0, \"target\": 5}, {\"weight\": 3469, \"source\": 1, \"target\": 4}, {\"weight\": 3503, \"source\": 1, \"target\": 8}, {\"weight\": 14007, \"source\": 1, \"target\": 6}, {\"weight\": 13305, \"source\": 1, \"target\": 7}, {\"weight\": 11111, \"source\": 1, \"target\": 2}, {\"weight\": 3231, \"source\": 1, \"target\": 3}, {\"weight\": 13888, \"source\": 1, \"target\": 5}, {\"weight\": 8867, \"source\": 2, \"target\": 4}, {\"weight\": 9007, \"source\": 2, \"target\": 8}, {\"weight\": 7012, \"source\": 2, \"target\": 6}, {\"weight\": 8166, \"source\": 2, \"target\": 7}, {\"weight\": 9957, \"source\": 2, \"target\": 3}, {\"weight\": 5435, \"source\": 2, \"target\": 5}, {\"weight\": 2829, \"source\": 3, \"target\": 4}, {\"weight\": 4767, \"source\": 3, \"target\": 8}, {\"weight\": 11399, \"source\": 3, \"target\": 6}, {\"weight\": 10571, \"source\": 3, \"target\": 7}, {\"weight\": 12282, \"source\": 3, \"target\": 5}, {\"weight\": 3271, \"source\": 4, \"target\": 8}, {\"weight\": 12509, \"source\": 4, \"target\": 6}, {\"weight\": 12535, \"source\": 4, \"target\": 7}, {\"weight\": 11571, \"source\": 4, \"target\": 5}, {\"weight\": 12434, \"source\": 5, \"target\": 8}, {\"weight\": 6573, \"source\": 5, \"target\": 6}, {\"weight\": 7510, \"source\": 5, \"target\": 7}, {\"weight\": 14640, \"source\": 6, \"target\": 8}, {\"weight\": 1432, \"source\": 6, \"target\": 7}, {\"weight\": 14666, \"source\": 7, \"target\": 8}]}",
"id": 894,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LPP, LGP, AHO, YGJ, GXH, UMD, MDT, DSM, TVY\n- Travel distances (in kilometers) between each pair of airports:\nLPP to LGP: 12435\nLPP to GXH: 10219\nLPP to TVY: 10901\nLPP to MDT: 7918\nLPP to DSM: 8952\nLPP to AHO: 2658\nLPP to YGJ: 10924\nLPP to UMD: 6035\nLGP to GXH: 3469\nLGP to TVY: 3503\nLGP to MDT: 14007\nLGP to DSM: 13305\nLGP to AHO: 11111\nLGP to YGJ: 3231\nLGP to UMD: 13888\nAHO to GXH: 8867\nAHO to TVY: 9007\nAHO to MDT: 7012\nAHO to DSM: 8166\nAHO to YGJ: 9957\nAHO to UMD: 5435\nYGJ to GXH: 2829\nYGJ to TVY: 4767\nYGJ to MDT: 11399\nYGJ to DSM: 10571\nYGJ to UMD: 12282\nGXH to TVY: 3271\nGXH to MDT: 12509\nGXH to DSM: 12535\nGXH to UMD: 11571\nUMD to TVY: 12434\nUMD to MDT: 6573\nUMD to DSM: 7510\nMDT to TVY: 14640\nMDT to DSM: 1432\nDSM to TVY: 14666\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: VVI, BLK, JIJ, NUX, OMS, CLQ, MSQ, OGZ, LKL\n- Travel distances (in kilometers) between each pair of airports:\nVVI to NUX: 14668\nVVI to CLQ: 6342\nVVI to MSQ: 11694\nVVI to BLK: 10587\nVVI to JIJ: 12269\nVVI to OMS: 14574\nVVI to OGZ: 13790\nVVI to LKL: 12620\nBLK to NUX: 5106\nBLK to CLQ: 9153\nBLK to MSQ: 2240\nBLK to JIJ: 6802\nBLK to OMS: 4920\nBLK to OGZ: 4262\nBLK to LKL: 2529\nJIJ to NUX: 6995\nJIJ to CLQ: 15467\nJIJ to MSQ: 5263\nJIJ to OMS: 6053\nJIJ to OGZ: 6797\nJIJ to LKL: 7464\nNUX to OMS: 1246\nNUX to CLQ: 13517\nNUX to MSQ: 2975\nNUX to OGZ: 3795\nNUX to LKL: 4563\nOMS to CLQ: 13217\nOMS to MSQ: 2880\nOMS to OGZ: 3662\nOMS to LKL: 4378\nCLQ to MSQ: 10913\nCLQ to OGZ: 12674\nCLQ to LKL: 10529\nMSQ to OGZ: 2096\nMSQ to LKL: 2237\nOGZ to LKL: 3742\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 45720,
"style": "rule"
}
|
{
"exact_answer": 45720,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"VVI\", \"id\": 0}, {\"name\": \"BLK\", \"id\": 1}, {\"name\": \"JIJ\", \"id\": 2}, {\"name\": \"NUX\", \"id\": 3}, {\"name\": \"OMS\", \"id\": 4}, {\"name\": \"CLQ\", \"id\": 5}, {\"name\": \"MSQ\", \"id\": 6}, {\"name\": \"OGZ\", \"id\": 7}, {\"name\": \"LKL\", \"id\": 8}], \"links\": [{\"weight\": 14668, \"source\": 0, \"target\": 3}, {\"weight\": 6342, \"source\": 0, \"target\": 5}, {\"weight\": 11694, \"source\": 0, \"target\": 6}, {\"weight\": 10587, \"source\": 0, \"target\": 1}, {\"weight\": 12269, \"source\": 0, \"target\": 2}, {\"weight\": 14574, \"source\": 0, \"target\": 4}, {\"weight\": 13790, \"source\": 0, \"target\": 7}, {\"weight\": 12620, \"source\": 0, \"target\": 8}, {\"weight\": 5106, \"source\": 1, \"target\": 3}, {\"weight\": 9153, \"source\": 1, \"target\": 5}, {\"weight\": 2240, \"source\": 1, \"target\": 6}, {\"weight\": 6802, \"source\": 1, \"target\": 2}, {\"weight\": 4920, \"source\": 1, \"target\": 4}, {\"weight\": 4262, \"source\": 1, \"target\": 7}, {\"weight\": 2529, \"source\": 1, \"target\": 8}, {\"weight\": 6995, \"source\": 2, \"target\": 3}, {\"weight\": 15467, \"source\": 2, \"target\": 5}, {\"weight\": 5263, \"source\": 2, \"target\": 6}, {\"weight\": 6053, \"source\": 2, \"target\": 4}, {\"weight\": 6797, \"source\": 2, \"target\": 7}, {\"weight\": 7464, \"source\": 2, \"target\": 8}, {\"weight\": 1246, \"source\": 3, \"target\": 4}, {\"weight\": 13517, \"source\": 3, \"target\": 5}, {\"weight\": 2975, \"source\": 3, \"target\": 6}, {\"weight\": 3795, \"source\": 3, \"target\": 7}, {\"weight\": 4563, \"source\": 3, \"target\": 8}, {\"weight\": 13217, \"source\": 4, \"target\": 5}, {\"weight\": 2880, \"source\": 4, \"target\": 6}, {\"weight\": 3662, \"source\": 4, \"target\": 7}, {\"weight\": 4378, \"source\": 4, \"target\": 8}, {\"weight\": 10913, \"source\": 5, \"target\": 6}, {\"weight\": 12674, \"source\": 5, \"target\": 7}, {\"weight\": 10529, \"source\": 5, \"target\": 8}, {\"weight\": 2096, \"source\": 6, \"target\": 7}, {\"weight\": 2237, \"source\": 6, \"target\": 8}, {\"weight\": 3742, \"source\": 7, \"target\": 8}]}",
"id": 895,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: VVI, BLK, JIJ, NUX, OMS, CLQ, MSQ, OGZ, LKL\n- Travel distances (in kilometers) between each pair of airports:\nVVI to NUX: 14668\nVVI to CLQ: 6342\nVVI to MSQ: 11694\nVVI to BLK: 10587\nVVI to JIJ: 12269\nVVI to OMS: 14574\nVVI to OGZ: 13790\nVVI to LKL: 12620\nBLK to NUX: 5106\nBLK to CLQ: 9153\nBLK to MSQ: 2240\nBLK to JIJ: 6802\nBLK to OMS: 4920\nBLK to OGZ: 4262\nBLK to LKL: 2529\nJIJ to NUX: 6995\nJIJ to CLQ: 15467\nJIJ to MSQ: 5263\nJIJ to OMS: 6053\nJIJ to OGZ: 6797\nJIJ to LKL: 7464\nNUX to OMS: 1246\nNUX to CLQ: 13517\nNUX to MSQ: 2975\nNUX to OGZ: 3795\nNUX to LKL: 4563\nOMS to CLQ: 13217\nOMS to MSQ: 2880\nOMS to OGZ: 3662\nOMS to LKL: 4378\nCLQ to MSQ: 10913\nCLQ to OGZ: 12674\nCLQ to LKL: 10529\nMSQ to OGZ: 2096\nMSQ to LKL: 2237\nOGZ to LKL: 3742\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LAO, BEB, AKU, YER, DJG, BHB, DIK, STG, JSI\n- Travel distances (in kilometers) between each pair of airports:\nLAO to BHB: 14537\nLAO to JSI: 10259\nLAO to DJG: 13301\nLAO to STG: 14640\nLAO to BEB: 11333\nLAO to AKU: 5333\nLAO to DIK: 13539\nLAO to YER: 13701\nBEB to BHB: 5666\nBEB to JSI: 3294\nBEB to DJG: 3963\nBEB to STG: 10970\nBEB to AKU: 7159\nBEB to DIK: 7395\nBEB to YER: 7430\nAKU to BHB: 11891\nAKU to JSI: 6068\nAKU to DJG: 9129\nAKU to STG: 15325\nAKU to DIK: 13710\nAKU to YER: 13745\nYER to BHB: 2923\nYER to JSI: 10164\nYER to DJG: 10177\nYER to STG: 6578\nYER to DIK: 2509\nDJG to BHB: 8013\nDJG to JSI: 3529\nDJG to STG: 14388\nDJG to DIK: 10071\nBHB to JSI: 8100\nBHB to STG: 7394\nBHB to DIK: 2889\nDIK to JSI: 9778\nDIK to STG: 5882\nSTG to JSI: 13714\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 50513,
"style": "rule"
}
|
{
"exact_answer": 50513,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"LAO\", \"id\": 0}, {\"name\": \"BEB\", \"id\": 1}, {\"name\": \"AKU\", \"id\": 2}, {\"name\": \"YER\", \"id\": 3}, {\"name\": \"DJG\", \"id\": 4}, {\"name\": \"BHB\", \"id\": 5}, {\"name\": \"DIK\", \"id\": 6}, {\"name\": \"STG\", \"id\": 7}, {\"name\": \"JSI\", \"id\": 8}], \"links\": [{\"weight\": 14537, \"source\": 0, \"target\": 5}, {\"weight\": 10259, \"source\": 0, \"target\": 8}, {\"weight\": 13301, \"source\": 0, \"target\": 4}, {\"weight\": 14640, \"source\": 0, \"target\": 7}, {\"weight\": 11333, \"source\": 0, \"target\": 1}, {\"weight\": 5333, \"source\": 0, \"target\": 2}, {\"weight\": 13539, \"source\": 0, \"target\": 6}, {\"weight\": 13701, \"source\": 0, \"target\": 3}, {\"weight\": 5666, \"source\": 1, \"target\": 5}, {\"weight\": 3294, \"source\": 1, \"target\": 8}, {\"weight\": 3963, \"source\": 1, \"target\": 4}, {\"weight\": 10970, \"source\": 1, \"target\": 7}, {\"weight\": 7159, \"source\": 1, \"target\": 2}, {\"weight\": 7395, \"source\": 1, \"target\": 6}, {\"weight\": 7430, \"source\": 1, \"target\": 3}, {\"weight\": 11891, \"source\": 2, \"target\": 5}, {\"weight\": 6068, \"source\": 2, \"target\": 8}, {\"weight\": 9129, \"source\": 2, \"target\": 4}, {\"weight\": 15325, \"source\": 2, \"target\": 7}, {\"weight\": 13710, \"source\": 2, \"target\": 6}, {\"weight\": 13745, \"source\": 2, \"target\": 3}, {\"weight\": 2923, \"source\": 3, \"target\": 5}, {\"weight\": 10164, \"source\": 3, \"target\": 8}, {\"weight\": 10177, \"source\": 3, \"target\": 4}, {\"weight\": 6578, \"source\": 3, \"target\": 7}, {\"weight\": 2509, \"source\": 3, \"target\": 6}, {\"weight\": 8013, \"source\": 4, \"target\": 5}, {\"weight\": 3529, \"source\": 4, \"target\": 8}, {\"weight\": 14388, \"source\": 4, \"target\": 7}, {\"weight\": 10071, \"source\": 4, \"target\": 6}, {\"weight\": 8100, \"source\": 5, \"target\": 8}, {\"weight\": 7394, \"source\": 5, \"target\": 7}, {\"weight\": 2889, \"source\": 5, \"target\": 6}, {\"weight\": 9778, \"source\": 6, \"target\": 8}, {\"weight\": 5882, \"source\": 6, \"target\": 7}, {\"weight\": 13714, \"source\": 7, \"target\": 8}]}",
"id": 896,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LAO, BEB, AKU, YER, DJG, BHB, DIK, STG, JSI\n- Travel distances (in kilometers) between each pair of airports:\nLAO to BHB: 14537\nLAO to JSI: 10259\nLAO to DJG: 13301\nLAO to STG: 14640\nLAO to BEB: 11333\nLAO to AKU: 5333\nLAO to DIK: 13539\nLAO to YER: 13701\nBEB to BHB: 5666\nBEB to JSI: 3294\nBEB to DJG: 3963\nBEB to STG: 10970\nBEB to AKU: 7159\nBEB to DIK: 7395\nBEB to YER: 7430\nAKU to BHB: 11891\nAKU to JSI: 6068\nAKU to DJG: 9129\nAKU to STG: 15325\nAKU to DIK: 13710\nAKU to YER: 13745\nYER to BHB: 2923\nYER to JSI: 10164\nYER to DJG: 10177\nYER to STG: 6578\nYER to DIK: 2509\nDJG to BHB: 8013\nDJG to JSI: 3529\nDJG to STG: 14388\nDJG to DIK: 10071\nBHB to JSI: 8100\nBHB to STG: 7394\nBHB to DIK: 2889\nDIK to JSI: 9778\nDIK to STG: 5882\nSTG to JSI: 13714\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: EGN, WXN, KSO, PHO, YXL, SKO, DWD, MCY, YMM\n- Travel distances (in kilometers) between each pair of airports:\nEGN to WXN: 8912\nEGN to PHO: 17288\nEGN to YMM: 13354\nEGN to KSO: 4196\nEGN to MCY: 16145\nEGN to YXL: 13136\nEGN to DWD: 2700\nEGN to SKO: 4444\nWXN to PHO: 13389\nWXN to YMM: 10907\nWXN to KSO: 8127\nWXN to MCY: 9323\nWXN to YXL: 12009\nWXN to DWD: 6290\nWXN to SKO: 11066\nKSO to PHO: 13818\nKSO to YMM: 9891\nKSO to MCY: 16511\nKSO to YXL: 9668\nKSO to DWD: 3184\nKSO to SKO: 5392\nPHO to YMM: 4743\nPHO to MCY: 14600\nPHO to YXL: 5750\nPHO to DWD: 16067\nPHO to SKO: 16016\nYXL to YMM: 1975\nYXL to MCY: 15588\nYXL to DWD: 12047\nYXL to SKO: 11017\nSKO to YMM: 12472\nSKO to MCY: 16908\nSKO to DWD: 4799\nDWD to YMM: 12133\nDWD to MCY: 13933\nMCY to YMM: 14486\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 59135,
"style": "rule"
}
|
{
"exact_answer": 59135,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"EGN\", \"id\": 0}, {\"name\": \"WXN\", \"id\": 1}, {\"name\": \"KSO\", \"id\": 2}, {\"name\": \"PHO\", \"id\": 3}, {\"name\": \"YXL\", \"id\": 4}, {\"name\": \"SKO\", \"id\": 5}, {\"name\": \"DWD\", \"id\": 6}, {\"name\": \"MCY\", \"id\": 7}, {\"name\": \"YMM\", \"id\": 8}], \"links\": [{\"weight\": 8912, \"source\": 0, \"target\": 1}, {\"weight\": 17288, \"source\": 0, \"target\": 3}, {\"weight\": 13354, \"source\": 0, \"target\": 8}, {\"weight\": 4196, \"source\": 0, \"target\": 2}, {\"weight\": 16145, \"source\": 0, \"target\": 7}, {\"weight\": 13136, \"source\": 0, \"target\": 4}, {\"weight\": 2700, \"source\": 0, \"target\": 6}, {\"weight\": 4444, \"source\": 0, \"target\": 5}, {\"weight\": 13389, \"source\": 1, \"target\": 3}, {\"weight\": 10907, \"source\": 1, \"target\": 8}, {\"weight\": 8127, \"source\": 1, \"target\": 2}, {\"weight\": 9323, \"source\": 1, \"target\": 7}, {\"weight\": 12009, \"source\": 1, \"target\": 4}, {\"weight\": 6290, \"source\": 1, \"target\": 6}, {\"weight\": 11066, \"source\": 1, \"target\": 5}, {\"weight\": 13818, \"source\": 2, \"target\": 3}, {\"weight\": 9891, \"source\": 2, \"target\": 8}, {\"weight\": 16511, \"source\": 2, \"target\": 7}, {\"weight\": 9668, \"source\": 2, \"target\": 4}, {\"weight\": 3184, \"source\": 2, \"target\": 6}, {\"weight\": 5392, \"source\": 2, \"target\": 5}, {\"weight\": 4743, \"source\": 3, \"target\": 8}, {\"weight\": 14600, \"source\": 3, \"target\": 7}, {\"weight\": 5750, \"source\": 3, \"target\": 4}, {\"weight\": 16067, \"source\": 3, \"target\": 6}, {\"weight\": 16016, \"source\": 3, \"target\": 5}, {\"weight\": 1975, \"source\": 4, \"target\": 8}, {\"weight\": 15588, \"source\": 4, \"target\": 7}, {\"weight\": 12047, \"source\": 4, \"target\": 6}, {\"weight\": 11017, \"source\": 4, \"target\": 5}, {\"weight\": 12472, \"source\": 5, \"target\": 8}, {\"weight\": 16908, \"source\": 5, \"target\": 7}, {\"weight\": 4799, \"source\": 5, \"target\": 6}, {\"weight\": 12133, \"source\": 6, \"target\": 8}, {\"weight\": 13933, \"source\": 6, \"target\": 7}, {\"weight\": 14486, \"source\": 7, \"target\": 8}]}",
"id": 897,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: EGN, WXN, KSO, PHO, YXL, SKO, DWD, MCY, YMM\n- Travel distances (in kilometers) between each pair of airports:\nEGN to WXN: 8912\nEGN to PHO: 17288\nEGN to YMM: 13354\nEGN to KSO: 4196\nEGN to MCY: 16145\nEGN to YXL: 13136\nEGN to DWD: 2700\nEGN to SKO: 4444\nWXN to PHO: 13389\nWXN to YMM: 10907\nWXN to KSO: 8127\nWXN to MCY: 9323\nWXN to YXL: 12009\nWXN to DWD: 6290\nWXN to SKO: 11066\nKSO to PHO: 13818\nKSO to YMM: 9891\nKSO to MCY: 16511\nKSO to YXL: 9668\nKSO to DWD: 3184\nKSO to SKO: 5392\nPHO to YMM: 4743\nPHO to MCY: 14600\nPHO to YXL: 5750\nPHO to DWD: 16067\nPHO to SKO: 16016\nYXL to YMM: 1975\nYXL to MCY: 15588\nYXL to DWD: 12047\nYXL to SKO: 11017\nSKO to YMM: 12472\nSKO to MCY: 16908\nSKO to DWD: 4799\nDWD to YMM: 12133\nDWD to MCY: 13933\nMCY to YMM: 14486\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: INN, SXF, ONG, MSY, KWL, BDQ, RVK, LDB, SNU\n- Travel distances (in kilometers) between each pair of airports:\nINN to KWL: 8706\nINN to BDQ: 6723\nINN to SXF: 1180\nINN to MSY: 8408\nINN to SNU: 8474\nINN to LDB: 10272\nINN to ONG: 15197\nINN to RVK: 2027\nSXF to KWL: 8238\nSXF to BDQ: 6702\nSXF to MSY: 8286\nSXF to SNU: 8336\nSXF to LDB: 10642\nSXF to ONG: 14812\nSXF to RVK: 1396\nONG to KWL: 6591\nONG to BDQ: 9373\nONG to MSY: 16110\nONG to SNU: 17733\nONG to LDB: 16705\nONG to RVK: 14967\nMSY to KWL: 13671\nMSY to BDQ: 14166\nMSY to SNU: 2183\nMSY to LDB: 7865\nMSY to RVK: 7744\nKWL to BDQ: 4101\nKWL to SNU: 14676\nKWL to LDB: 18168\nKWL to RVK: 8439\nBDQ to SNU: 14816\nBDQ to LDB: 14654\nBDQ to RVK: 7014\nRVK to SNU: 8312\nRVK to LDB: 11547\nLDB to SNU: 7146\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 53769,
"style": "rule"
}
|
{
"exact_answer": 53769,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"INN\", \"id\": 0}, {\"name\": \"SXF\", \"id\": 1}, {\"name\": \"ONG\", \"id\": 2}, {\"name\": \"MSY\", \"id\": 3}, {\"name\": \"KWL\", \"id\": 4}, {\"name\": \"BDQ\", \"id\": 5}, {\"name\": \"RVK\", \"id\": 6}, {\"name\": \"LDB\", \"id\": 7}, {\"name\": \"SNU\", \"id\": 8}], \"links\": [{\"weight\": 8706, \"source\": 0, \"target\": 4}, {\"weight\": 6723, \"source\": 0, \"target\": 5}, {\"weight\": 1180, \"source\": 0, \"target\": 1}, {\"weight\": 8408, \"source\": 0, \"target\": 3}, {\"weight\": 8474, \"source\": 0, \"target\": 8}, {\"weight\": 10272, \"source\": 0, \"target\": 7}, {\"weight\": 15197, \"source\": 0, \"target\": 2}, {\"weight\": 2027, \"source\": 0, \"target\": 6}, {\"weight\": 8238, \"source\": 1, \"target\": 4}, {\"weight\": 6702, \"source\": 1, \"target\": 5}, {\"weight\": 8286, \"source\": 1, \"target\": 3}, {\"weight\": 8336, \"source\": 1, \"target\": 8}, {\"weight\": 10642, \"source\": 1, \"target\": 7}, {\"weight\": 14812, \"source\": 1, \"target\": 2}, {\"weight\": 1396, \"source\": 1, \"target\": 6}, {\"weight\": 6591, \"source\": 2, \"target\": 4}, {\"weight\": 9373, \"source\": 2, \"target\": 5}, {\"weight\": 16110, \"source\": 2, \"target\": 3}, {\"weight\": 17733, \"source\": 2, \"target\": 8}, {\"weight\": 16705, \"source\": 2, \"target\": 7}, {\"weight\": 14967, \"source\": 2, \"target\": 6}, {\"weight\": 13671, \"source\": 3, \"target\": 4}, {\"weight\": 14166, \"source\": 3, \"target\": 5}, {\"weight\": 2183, \"source\": 3, \"target\": 8}, {\"weight\": 7865, \"source\": 3, \"target\": 7}, {\"weight\": 7744, \"source\": 3, \"target\": 6}, {\"weight\": 4101, \"source\": 4, \"target\": 5}, {\"weight\": 14676, \"source\": 4, \"target\": 8}, {\"weight\": 18168, \"source\": 4, \"target\": 7}, {\"weight\": 8439, \"source\": 4, \"target\": 6}, {\"weight\": 14816, \"source\": 5, \"target\": 8}, {\"weight\": 14654, \"source\": 5, \"target\": 7}, {\"weight\": 7014, \"source\": 5, \"target\": 6}, {\"weight\": 8312, \"source\": 6, \"target\": 8}, {\"weight\": 11547, \"source\": 6, \"target\": 7}, {\"weight\": 7146, \"source\": 7, \"target\": 8}]}",
"id": 898,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: INN, SXF, ONG, MSY, KWL, BDQ, RVK, LDB, SNU\n- Travel distances (in kilometers) between each pair of airports:\nINN to KWL: 8706\nINN to BDQ: 6723\nINN to SXF: 1180\nINN to MSY: 8408\nINN to SNU: 8474\nINN to LDB: 10272\nINN to ONG: 15197\nINN to RVK: 2027\nSXF to KWL: 8238\nSXF to BDQ: 6702\nSXF to MSY: 8286\nSXF to SNU: 8336\nSXF to LDB: 10642\nSXF to ONG: 14812\nSXF to RVK: 1396\nONG to KWL: 6591\nONG to BDQ: 9373\nONG to MSY: 16110\nONG to SNU: 17733\nONG to LDB: 16705\nONG to RVK: 14967\nMSY to KWL: 13671\nMSY to BDQ: 14166\nMSY to SNU: 2183\nMSY to LDB: 7865\nMSY to RVK: 7744\nKWL to BDQ: 4101\nKWL to SNU: 14676\nKWL to LDB: 18168\nKWL to RVK: 8439\nBDQ to SNU: 14816\nBDQ to LDB: 14654\nBDQ to RVK: 7014\nRVK to SNU: 8312\nRVK to LDB: 11547\nLDB to SNU: 7146\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CNF, BCN, ONT, HGH, WWP, YOJ, TGI, CHG, LSY\n- Travel distances (in kilometers) between each pair of airports:\nCNF to BCN: 8344\nCNF to HGH: 18206\nCNF to YOJ: 11151\nCNF to ONT: 9926\nCNF to CHG: 17458\nCNF to WWP: 11987\nCNF to TGI: 4295\nCNF to LSY: 15050\nBCN to HGH: 9959\nBCN to YOJ: 8548\nBCN to ONT: 9813\nBCN to CHG: 9172\nBCN to WWP: 10021\nBCN to TGI: 10333\nBCN to LSY: 17792\nONT to HGH: 10646\nONT to YOJ: 2866\nONT to CHG: 10431\nONT to WWP: 2754\nONT to TGI: 7087\nONT to LSY: 13135\nHGH to YOJ: 10616\nHGH to CHG: 1276\nHGH to WWP: 10564\nHGH to TGI: 17640\nHGH to LSY: 8464\nWWP to YOJ: 2742\nWWP to CHG: 10254\nWWP to TGI: 9580\nWWP to LSY: 14293\nYOJ to CHG: 10293\nYOJ to TGI: 9001\nYOJ to LSY: 14542\nTGI to CHG: 17304\nTGI to LSY: 14727\nCHG to LSY: 9637\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 58539,
"style": "rule"
}
|
{
"exact_answer": 58539,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"CNF\", \"id\": 0}, {\"name\": \"BCN\", \"id\": 1}, {\"name\": \"ONT\", \"id\": 2}, {\"name\": \"HGH\", \"id\": 3}, {\"name\": \"WWP\", \"id\": 4}, {\"name\": \"YOJ\", \"id\": 5}, {\"name\": \"TGI\", \"id\": 6}, {\"name\": \"CHG\", \"id\": 7}, {\"name\": \"LSY\", \"id\": 8}], \"links\": [{\"weight\": 8344, \"source\": 0, \"target\": 1}, {\"weight\": 18206, \"source\": 0, \"target\": 3}, {\"weight\": 11151, \"source\": 0, \"target\": 5}, {\"weight\": 9926, \"source\": 0, \"target\": 2}, {\"weight\": 17458, \"source\": 0, \"target\": 7}, {\"weight\": 11987, \"source\": 0, \"target\": 4}, {\"weight\": 4295, \"source\": 0, \"target\": 6}, {\"weight\": 15050, \"source\": 0, \"target\": 8}, {\"weight\": 9959, \"source\": 1, \"target\": 3}, {\"weight\": 8548, \"source\": 1, \"target\": 5}, {\"weight\": 9813, \"source\": 1, \"target\": 2}, {\"weight\": 9172, \"source\": 1, \"target\": 7}, {\"weight\": 10021, \"source\": 1, \"target\": 4}, {\"weight\": 10333, \"source\": 1, \"target\": 6}, {\"weight\": 17792, \"source\": 1, \"target\": 8}, {\"weight\": 10646, \"source\": 2, \"target\": 3}, {\"weight\": 2866, \"source\": 2, \"target\": 5}, {\"weight\": 10431, \"source\": 2, \"target\": 7}, {\"weight\": 2754, \"source\": 2, \"target\": 4}, {\"weight\": 7087, \"source\": 2, \"target\": 6}, {\"weight\": 13135, \"source\": 2, \"target\": 8}, {\"weight\": 10616, \"source\": 3, \"target\": 5}, {\"weight\": 1276, \"source\": 3, \"target\": 7}, {\"weight\": 10564, \"source\": 3, \"target\": 4}, {\"weight\": 17640, \"source\": 3, \"target\": 6}, {\"weight\": 8464, \"source\": 3, \"target\": 8}, {\"weight\": 2742, \"source\": 4, \"target\": 5}, {\"weight\": 10254, \"source\": 4, \"target\": 7}, {\"weight\": 9580, \"source\": 4, \"target\": 6}, {\"weight\": 14293, \"source\": 4, \"target\": 8}, {\"weight\": 10293, \"source\": 5, \"target\": 7}, {\"weight\": 9001, \"source\": 5, \"target\": 6}, {\"weight\": 14542, \"source\": 5, \"target\": 8}, {\"weight\": 17304, \"source\": 6, \"target\": 7}, {\"weight\": 14727, \"source\": 6, \"target\": 8}, {\"weight\": 9637, \"source\": 7, \"target\": 8}]}",
"id": 899,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CNF, BCN, ONT, HGH, WWP, YOJ, TGI, CHG, LSY\n- Travel distances (in kilometers) between each pair of airports:\nCNF to BCN: 8344\nCNF to HGH: 18206\nCNF to YOJ: 11151\nCNF to ONT: 9926\nCNF to CHG: 17458\nCNF to WWP: 11987\nCNF to TGI: 4295\nCNF to LSY: 15050\nBCN to HGH: 9959\nBCN to YOJ: 8548\nBCN to ONT: 9813\nBCN to CHG: 9172\nBCN to WWP: 10021\nBCN to TGI: 10333\nBCN to LSY: 17792\nONT to HGH: 10646\nONT to YOJ: 2866\nONT to CHG: 10431\nONT to WWP: 2754\nONT to TGI: 7087\nONT to LSY: 13135\nHGH to YOJ: 10616\nHGH to CHG: 1276\nHGH to WWP: 10564\nHGH to TGI: 17640\nHGH to LSY: 8464\nWWP to YOJ: 2742\nWWP to CHG: 10254\nWWP to TGI: 9580\nWWP to LSY: 14293\nYOJ to CHG: 10293\nYOJ to TGI: 9001\nYOJ to LSY: 14542\nTGI to CHG: 17304\nTGI to LSY: 14727\nCHG to LSY: 9637\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
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