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: WAA, LNS, YVQ, ARH, LIH, AZO, YHK, MCO, DHB\n- Travel distances (in kilometers) between each pair of airports:\nWAA to MCO: 7189\nWAA to ARH: 12676\nWAA to YVQ: 5958\nWAA to YHK: 6368\nWAA to AZO: 5764\nWAA to LIH: 5675\nWAA to LNS: 6702\nWAA to DHB: 3518\nLNS to MCO: 1385\nLNS to ARH: 8160\nLNS to YVQ: 4666\nLNS to YHK: 5076\nLNS to AZO: 961\nLNS to LIH: 7981\nLNS to DHB: 4020\nYVQ to MCO: 5550\nYVQ to ARH: 10121\nYVQ to YHK: 1768\nYVQ to AZO: 4125\nYVQ to LIH: 6889\nYVQ to DHB: 2750\nARH to MCO: 9181\nARH to YHK: 10531\nARH to AZO: 8196\nARH to LIH: 13614\nARH to DHB: 9468\nLIH to MCO: 7751\nLIH to YHK: 7299\nLIH to AZO: 7093\nLIH to DHB: 4500\nAZO to MCO: 1611\nAZO to YHK: 4535\nAZO to DHB: 3082\nYHK to MCO: 5960\nYHK to DHB: 3160\nMCO to DHB: 4259\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 42144,
"style": "rule"
}
|
{
"exact_answer": 42144,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"WAA\", \"id\": 0}, {\"name\": \"LNS\", \"id\": 1}, {\"name\": \"YVQ\", \"id\": 2}, {\"name\": \"ARH\", \"id\": 3}, {\"name\": \"LIH\", \"id\": 4}, {\"name\": \"AZO\", \"id\": 5}, {\"name\": \"YHK\", \"id\": 6}, {\"name\": \"MCO\", \"id\": 7}, {\"name\": \"DHB\", \"id\": 8}], \"links\": [{\"weight\": 7189, \"source\": 0, \"target\": 7}, {\"weight\": 12676, \"source\": 0, \"target\": 3}, {\"weight\": 5958, \"source\": 0, \"target\": 2}, {\"weight\": 6368, \"source\": 0, \"target\": 6}, {\"weight\": 5764, \"source\": 0, \"target\": 5}, {\"weight\": 5675, \"source\": 0, \"target\": 4}, {\"weight\": 6702, \"source\": 0, \"target\": 1}, {\"weight\": 3518, \"source\": 0, \"target\": 8}, {\"weight\": 1385, \"source\": 1, \"target\": 7}, {\"weight\": 8160, \"source\": 1, \"target\": 3}, {\"weight\": 4666, \"source\": 1, \"target\": 2}, {\"weight\": 5076, \"source\": 1, \"target\": 6}, {\"weight\": 961, \"source\": 1, \"target\": 5}, {\"weight\": 7981, \"source\": 1, \"target\": 4}, {\"weight\": 4020, \"source\": 1, \"target\": 8}, {\"weight\": 5550, \"source\": 2, \"target\": 7}, {\"weight\": 10121, \"source\": 2, \"target\": 3}, {\"weight\": 1768, \"source\": 2, \"target\": 6}, {\"weight\": 4125, \"source\": 2, \"target\": 5}, {\"weight\": 6889, \"source\": 2, \"target\": 4}, {\"weight\": 2750, \"source\": 2, \"target\": 8}, {\"weight\": 9181, \"source\": 3, \"target\": 7}, {\"weight\": 10531, \"source\": 3, \"target\": 6}, {\"weight\": 8196, \"source\": 3, \"target\": 5}, {\"weight\": 13614, \"source\": 3, \"target\": 4}, {\"weight\": 9468, \"source\": 3, \"target\": 8}, {\"weight\": 7751, \"source\": 4, \"target\": 7}, {\"weight\": 7299, \"source\": 4, \"target\": 6}, {\"weight\": 7093, \"source\": 4, \"target\": 5}, {\"weight\": 4500, \"source\": 4, \"target\": 8}, {\"weight\": 1611, \"source\": 5, \"target\": 7}, {\"weight\": 4535, \"source\": 5, \"target\": 6}, {\"weight\": 3082, \"source\": 5, \"target\": 8}, {\"weight\": 5960, \"source\": 6, \"target\": 7}, {\"weight\": 3160, \"source\": 6, \"target\": 8}, {\"weight\": 4259, \"source\": 7, \"target\": 8}]}",
"id": 1000,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: WAA, LNS, YVQ, ARH, LIH, AZO, YHK, MCO, DHB\n- Travel distances (in kilometers) between each pair of airports:\nWAA to MCO: 7189\nWAA to ARH: 12676\nWAA to YVQ: 5958\nWAA to YHK: 6368\nWAA to AZO: 5764\nWAA to LIH: 5675\nWAA to LNS: 6702\nWAA to DHB: 3518\nLNS to MCO: 1385\nLNS to ARH: 8160\nLNS to YVQ: 4666\nLNS to YHK: 5076\nLNS to AZO: 961\nLNS to LIH: 7981\nLNS to DHB: 4020\nYVQ to MCO: 5550\nYVQ to ARH: 10121\nYVQ to YHK: 1768\nYVQ to AZO: 4125\nYVQ to LIH: 6889\nYVQ to DHB: 2750\nARH to MCO: 9181\nARH to YHK: 10531\nARH to AZO: 8196\nARH to LIH: 13614\nARH to DHB: 9468\nLIH to MCO: 7751\nLIH to YHK: 7299\nLIH to AZO: 7093\nLIH to DHB: 4500\nAZO to MCO: 1611\nAZO to YHK: 4535\nAZO to DHB: 3082\nYHK to MCO: 5960\nYHK to DHB: 3160\nMCO to DHB: 4259\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: USN, YFC, KKJ, BJM, MGB, POZ, KVC, MJV, NUP\n- Travel distances (in kilometers) between each pair of airports:\nUSN to POZ: 8467\nUSN to NUP: 12160\nUSN to KKJ: 2315\nUSN to BJM: 11296\nUSN to YFC: 12465\nUSN to MJV: 10699\nUSN to KVC: 12512\nUSN to MGB: 8767\nYFC to POZ: 6047\nYFC to NUP: 6800\nYFC to KKJ: 12621\nYFC to BJM: 11669\nYFC to MJV: 6472\nYFC to KVC: 7152\nYFC to MGB: 17647\nKKJ to POZ: 10048\nKKJ to NUP: 11530\nKKJ to BJM: 12958\nKKJ to MJV: 11973\nKKJ to KVC: 11882\nKKJ to MGB: 9491\nBJM to POZ: 6603\nBJM to NUP: 17432\nBJM to MJV: 7490\nBJM to KVC: 17784\nBJM to MGB: 12268\nMGB to POZ: 15504\nMGB to NUP: 14378\nMGB to MJV: 17406\nMGB to KVC: 14730\nPOZ to NUP: 11399\nPOZ to MJV: 2435\nPOZ to KVC: 11751\nKVC to NUP: 1698\nKVC to MJV: 12498\nMJV to NUP: 12146\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 59240,
"style": "rule"
}
|
{
"exact_answer": 59240,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"USN\", \"id\": 0}, {\"name\": \"YFC\", \"id\": 1}, {\"name\": \"KKJ\", \"id\": 2}, {\"name\": \"BJM\", \"id\": 3}, {\"name\": \"MGB\", \"id\": 4}, {\"name\": \"POZ\", \"id\": 5}, {\"name\": \"KVC\", \"id\": 6}, {\"name\": \"MJV\", \"id\": 7}, {\"name\": \"NUP\", \"id\": 8}], \"links\": [{\"weight\": 8467, \"source\": 0, \"target\": 5}, {\"weight\": 12160, \"source\": 0, \"target\": 8}, {\"weight\": 2315, \"source\": 0, \"target\": 2}, {\"weight\": 11296, \"source\": 0, \"target\": 3}, {\"weight\": 12465, \"source\": 0, \"target\": 1}, {\"weight\": 10699, \"source\": 0, \"target\": 7}, {\"weight\": 12512, \"source\": 0, \"target\": 6}, {\"weight\": 8767, \"source\": 0, \"target\": 4}, {\"weight\": 6047, \"source\": 1, \"target\": 5}, {\"weight\": 6800, \"source\": 1, \"target\": 8}, {\"weight\": 12621, \"source\": 1, \"target\": 2}, {\"weight\": 11669, \"source\": 1, \"target\": 3}, {\"weight\": 6472, \"source\": 1, \"target\": 7}, {\"weight\": 7152, \"source\": 1, \"target\": 6}, {\"weight\": 17647, \"source\": 1, \"target\": 4}, {\"weight\": 10048, \"source\": 2, \"target\": 5}, {\"weight\": 11530, \"source\": 2, \"target\": 8}, {\"weight\": 12958, \"source\": 2, \"target\": 3}, {\"weight\": 11973, \"source\": 2, \"target\": 7}, {\"weight\": 11882, \"source\": 2, \"target\": 6}, {\"weight\": 9491, \"source\": 2, \"target\": 4}, {\"weight\": 6603, \"source\": 3, \"target\": 5}, {\"weight\": 17432, \"source\": 3, \"target\": 8}, {\"weight\": 7490, \"source\": 3, \"target\": 7}, {\"weight\": 17784, \"source\": 3, \"target\": 6}, {\"weight\": 12268, \"source\": 3, \"target\": 4}, {\"weight\": 15504, \"source\": 4, \"target\": 5}, {\"weight\": 14378, \"source\": 4, \"target\": 8}, {\"weight\": 17406, \"source\": 4, \"target\": 7}, {\"weight\": 14730, \"source\": 4, \"target\": 6}, {\"weight\": 11399, \"source\": 5, \"target\": 8}, {\"weight\": 2435, \"source\": 5, \"target\": 7}, {\"weight\": 11751, \"source\": 5, \"target\": 6}, {\"weight\": 1698, \"source\": 6, \"target\": 8}, {\"weight\": 12498, \"source\": 6, \"target\": 7}, {\"weight\": 12146, \"source\": 7, \"target\": 8}]}",
"id": 1001,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: USN, YFC, KKJ, BJM, MGB, POZ, KVC, MJV, NUP\n- Travel distances (in kilometers) between each pair of airports:\nUSN to POZ: 8467\nUSN to NUP: 12160\nUSN to KKJ: 2315\nUSN to BJM: 11296\nUSN to YFC: 12465\nUSN to MJV: 10699\nUSN to KVC: 12512\nUSN to MGB: 8767\nYFC to POZ: 6047\nYFC to NUP: 6800\nYFC to KKJ: 12621\nYFC to BJM: 11669\nYFC to MJV: 6472\nYFC to KVC: 7152\nYFC to MGB: 17647\nKKJ to POZ: 10048\nKKJ to NUP: 11530\nKKJ to BJM: 12958\nKKJ to MJV: 11973\nKKJ to KVC: 11882\nKKJ to MGB: 9491\nBJM to POZ: 6603\nBJM to NUP: 17432\nBJM to MJV: 7490\nBJM to KVC: 17784\nBJM to MGB: 12268\nMGB to POZ: 15504\nMGB to NUP: 14378\nMGB to MJV: 17406\nMGB to KVC: 14730\nPOZ to NUP: 11399\nPOZ to MJV: 2435\nPOZ to KVC: 11751\nKVC to NUP: 1698\nKVC to MJV: 12498\nMJV to NUP: 12146\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: EMD, MLI, ACC, CAE, KKA, YVQ, THE, FRA, DMB\n- Travel distances (in kilometers) between each pair of airports:\nEMD to ACC: 17100\nEMD to FRA: 16753\nEMD to YVQ: 15064\nEMD to KKA: 13425\nEMD to CAE: 15496\nEMD to MLI: 14775\nEMD to THE: 17292\nEMD to DMB: 12181\nMLI to ACC: 9631\nMLI to FRA: 7194\nMLI to YVQ: 3881\nMLI to KKA: 5229\nMLI to CAE: 1295\nMLI to THE: 7252\nMLI to DMB: 11176\nACC to FRA: 5008\nACC to YVQ: 12518\nACC to KKA: 14661\nACC to CAE: 9194\nACC to THE: 5949\nACC to DMB: 9033\nCAE to FRA: 7177\nCAE to YVQ: 5049\nCAE to KKA: 6387\nCAE to THE: 6250\nCAE to DMB: 11283\nKKA to FRA: 11269\nKKA to YVQ: 5667\nKKA to THE: 12375\nKKA to DMB: 15027\nYVQ to FRA: 9020\nYVQ to THE: 10536\nYVQ to DMB: 12763\nTHE to FRA: 7981\nTHE to DMB: 12767\nFRA to DMB: 4809\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 58465,
"style": "rule"
}
|
{
"exact_answer": 58465,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"EMD\", \"id\": 0}, {\"name\": \"MLI\", \"id\": 1}, {\"name\": \"ACC\", \"id\": 2}, {\"name\": \"CAE\", \"id\": 3}, {\"name\": \"KKA\", \"id\": 4}, {\"name\": \"YVQ\", \"id\": 5}, {\"name\": \"THE\", \"id\": 6}, {\"name\": \"FRA\", \"id\": 7}, {\"name\": \"DMB\", \"id\": 8}], \"links\": [{\"weight\": 17100, \"source\": 0, \"target\": 2}, {\"weight\": 16753, \"source\": 0, \"target\": 7}, {\"weight\": 15064, \"source\": 0, \"target\": 5}, {\"weight\": 13425, \"source\": 0, \"target\": 4}, {\"weight\": 15496, \"source\": 0, \"target\": 3}, {\"weight\": 14775, \"source\": 0, \"target\": 1}, {\"weight\": 17292, \"source\": 0, \"target\": 6}, {\"weight\": 12181, \"source\": 0, \"target\": 8}, {\"weight\": 9631, \"source\": 1, \"target\": 2}, {\"weight\": 7194, \"source\": 1, \"target\": 7}, {\"weight\": 3881, \"source\": 1, \"target\": 5}, {\"weight\": 5229, \"source\": 1, \"target\": 4}, {\"weight\": 1295, \"source\": 1, \"target\": 3}, {\"weight\": 7252, \"source\": 1, \"target\": 6}, {\"weight\": 11176, \"source\": 1, \"target\": 8}, {\"weight\": 5008, \"source\": 2, \"target\": 7}, {\"weight\": 12518, \"source\": 2, \"target\": 5}, {\"weight\": 14661, \"source\": 2, \"target\": 4}, {\"weight\": 9194, \"source\": 2, \"target\": 3}, {\"weight\": 5949, \"source\": 2, \"target\": 6}, {\"weight\": 9033, \"source\": 2, \"target\": 8}, {\"weight\": 7177, \"source\": 3, \"target\": 7}, {\"weight\": 5049, \"source\": 3, \"target\": 5}, {\"weight\": 6387, \"source\": 3, \"target\": 4}, {\"weight\": 6250, \"source\": 3, \"target\": 6}, {\"weight\": 11283, \"source\": 3, \"target\": 8}, {\"weight\": 11269, \"source\": 4, \"target\": 7}, {\"weight\": 5667, \"source\": 4, \"target\": 5}, {\"weight\": 12375, \"source\": 4, \"target\": 6}, {\"weight\": 15027, \"source\": 4, \"target\": 8}, {\"weight\": 9020, \"source\": 5, \"target\": 7}, {\"weight\": 10536, \"source\": 5, \"target\": 6}, {\"weight\": 12763, \"source\": 5, \"target\": 8}, {\"weight\": 7981, \"source\": 6, \"target\": 7}, {\"weight\": 12767, \"source\": 6, \"target\": 8}, {\"weight\": 4809, \"source\": 7, \"target\": 8}]}",
"id": 1002,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: EMD, MLI, ACC, CAE, KKA, YVQ, THE, FRA, DMB\n- Travel distances (in kilometers) between each pair of airports:\nEMD to ACC: 17100\nEMD to FRA: 16753\nEMD to YVQ: 15064\nEMD to KKA: 13425\nEMD to CAE: 15496\nEMD to MLI: 14775\nEMD to THE: 17292\nEMD to DMB: 12181\nMLI to ACC: 9631\nMLI to FRA: 7194\nMLI to YVQ: 3881\nMLI to KKA: 5229\nMLI to CAE: 1295\nMLI to THE: 7252\nMLI to DMB: 11176\nACC to FRA: 5008\nACC to YVQ: 12518\nACC to KKA: 14661\nACC to CAE: 9194\nACC to THE: 5949\nACC to DMB: 9033\nCAE to FRA: 7177\nCAE to YVQ: 5049\nCAE to KKA: 6387\nCAE to THE: 6250\nCAE to DMB: 11283\nKKA to FRA: 11269\nKKA to YVQ: 5667\nKKA to THE: 12375\nKKA to DMB: 15027\nYVQ to FRA: 9020\nYVQ to THE: 10536\nYVQ to DMB: 12763\nTHE to FRA: 7981\nTHE to DMB: 12767\nFRA to DMB: 4809\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BEW, MUA, PYY, ZAD, AGN, DCY, BRL, CDR, ASM\n- Travel distances (in kilometers) between each pair of airports:\nBEW to BRL: 15296\nBEW to ZAD: 8192\nBEW to DCY: 10557\nBEW to CDR: 16775\nBEW to MUA: 15211\nBEW to ASM: 4111\nBEW to AGN: 18320\nBEW to PYY: 9926\nMUA to BRL: 14104\nMUA to ZAD: 15968\nMUA to DCY: 8550\nMUA to CDR: 13054\nMUA to ASM: 14225\nMUA to AGN: 13011\nMUA to PYY: 8287\nPYY to BRL: 13854\nPYY to ZAD: 8644\nPYY to DCY: 1912\nPYY to CDR: 13630\nPYY to ASM: 6775\nPYY to AGN: 13226\nZAD to BRL: 8074\nZAD to DCY: 8257\nZAD to CDR: 9278\nZAD to ASM: 4213\nZAD to AGN: 10585\nAGN to BRL: 4533\nAGN to DCY: 12189\nAGN to CDR: 3554\nAGN to ASM: 14487\nDCY to BRL: 12817\nDCY to CDR: 12593\nDCY to ASM: 7316\nBRL to CDR: 1826\nBRL to ASM: 11991\nCDR to ASM: 13184\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 55177,
"style": "rule"
}
|
{
"exact_answer": 55177,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"BEW\", \"id\": 0}, {\"name\": \"MUA\", \"id\": 1}, {\"name\": \"PYY\", \"id\": 2}, {\"name\": \"ZAD\", \"id\": 3}, {\"name\": \"AGN\", \"id\": 4}, {\"name\": \"DCY\", \"id\": 5}, {\"name\": \"BRL\", \"id\": 6}, {\"name\": \"CDR\", \"id\": 7}, {\"name\": \"ASM\", \"id\": 8}], \"links\": [{\"weight\": 15296, \"source\": 0, \"target\": 6}, {\"weight\": 8192, \"source\": 0, \"target\": 3}, {\"weight\": 10557, \"source\": 0, \"target\": 5}, {\"weight\": 16775, \"source\": 0, \"target\": 7}, {\"weight\": 15211, \"source\": 0, \"target\": 1}, {\"weight\": 4111, \"source\": 0, \"target\": 8}, {\"weight\": 18320, \"source\": 0, \"target\": 4}, {\"weight\": 9926, \"source\": 0, \"target\": 2}, {\"weight\": 14104, \"source\": 1, \"target\": 6}, {\"weight\": 15968, \"source\": 1, \"target\": 3}, {\"weight\": 8550, \"source\": 1, \"target\": 5}, {\"weight\": 13054, \"source\": 1, \"target\": 7}, {\"weight\": 14225, \"source\": 1, \"target\": 8}, {\"weight\": 13011, \"source\": 1, \"target\": 4}, {\"weight\": 8287, \"source\": 1, \"target\": 2}, {\"weight\": 13854, \"source\": 2, \"target\": 6}, {\"weight\": 8644, \"source\": 2, \"target\": 3}, {\"weight\": 1912, \"source\": 2, \"target\": 5}, {\"weight\": 13630, \"source\": 2, \"target\": 7}, {\"weight\": 6775, \"source\": 2, \"target\": 8}, {\"weight\": 13226, \"source\": 2, \"target\": 4}, {\"weight\": 8074, \"source\": 3, \"target\": 6}, {\"weight\": 8257, \"source\": 3, \"target\": 5}, {\"weight\": 9278, \"source\": 3, \"target\": 7}, {\"weight\": 4213, \"source\": 3, \"target\": 8}, {\"weight\": 10585, \"source\": 3, \"target\": 4}, {\"weight\": 4533, \"source\": 4, \"target\": 6}, {\"weight\": 12189, \"source\": 4, \"target\": 5}, {\"weight\": 3554, \"source\": 4, \"target\": 7}, {\"weight\": 14487, \"source\": 4, \"target\": 8}, {\"weight\": 12817, \"source\": 5, \"target\": 6}, {\"weight\": 12593, \"source\": 5, \"target\": 7}, {\"weight\": 7316, \"source\": 5, \"target\": 8}, {\"weight\": 1826, \"source\": 6, \"target\": 7}, {\"weight\": 11991, \"source\": 6, \"target\": 8}, {\"weight\": 13184, \"source\": 7, \"target\": 8}]}",
"id": 1003,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BEW, MUA, PYY, ZAD, AGN, DCY, BRL, CDR, ASM\n- Travel distances (in kilometers) between each pair of airports:\nBEW to BRL: 15296\nBEW to ZAD: 8192\nBEW to DCY: 10557\nBEW to CDR: 16775\nBEW to MUA: 15211\nBEW to ASM: 4111\nBEW to AGN: 18320\nBEW to PYY: 9926\nMUA to BRL: 14104\nMUA to ZAD: 15968\nMUA to DCY: 8550\nMUA to CDR: 13054\nMUA to ASM: 14225\nMUA to AGN: 13011\nMUA to PYY: 8287\nPYY to BRL: 13854\nPYY to ZAD: 8644\nPYY to DCY: 1912\nPYY to CDR: 13630\nPYY to ASM: 6775\nPYY to AGN: 13226\nZAD to BRL: 8074\nZAD to DCY: 8257\nZAD to CDR: 9278\nZAD to ASM: 4213\nZAD to AGN: 10585\nAGN to BRL: 4533\nAGN to DCY: 12189\nAGN to CDR: 3554\nAGN to ASM: 14487\nDCY to BRL: 12817\nDCY to CDR: 12593\nDCY to ASM: 7316\nBRL to CDR: 1826\nBRL to ASM: 11991\nCDR to ASM: 13184\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: NCU, KUV, GMB, ADQ, LUZ, JHM, SBY, BHU, CMB\n- Travel distances (in kilometers) between each pair of airports:\nNCU to ADQ: 14046\nNCU to BHU: 3699\nNCU to CMB: 4785\nNCU to SBY: 9979\nNCU to GMB: 5998\nNCU to LUZ: 4035\nNCU to KUV: 6147\nNCU to JHM: 13018\nKUV to ADQ: 11810\nKUV to BHU: 6136\nKUV to CMB: 5877\nKUV to SBY: 12050\nKUV to GMB: 10084\nKUV to LUZ: 8932\nKUV to JHM: 7827\nGMB to ADQ: 16752\nGMB to BHU: 4613\nGMB to CMB: 5835\nGMB to SBY: 12142\nGMB to LUZ: 6272\nGMB to JHM: 17071\nADQ to BHU: 16500\nADQ to CMB: 16573\nADQ to SBY: 6193\nADQ to LUZ: 11508\nADQ to JHM: 5015\nLUZ to BHU: 6869\nLUZ to CMB: 8083\nLUZ to SBY: 7350\nLUZ to JHM: 13184\nJHM to BHU: 13338\nJHM to CMB: 13147\nJHM to SBY: 8172\nSBY to BHU: 13148\nSBY to CMB: 14367\nBHU to CMB: 1830\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 48738,
"style": "rule"
}
|
{
"exact_answer": 48738,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"NCU\", \"id\": 0}, {\"name\": \"KUV\", \"id\": 1}, {\"name\": \"GMB\", \"id\": 2}, {\"name\": \"ADQ\", \"id\": 3}, {\"name\": \"LUZ\", \"id\": 4}, {\"name\": \"JHM\", \"id\": 5}, {\"name\": \"SBY\", \"id\": 6}, {\"name\": \"BHU\", \"id\": 7}, {\"name\": \"CMB\", \"id\": 8}], \"links\": [{\"weight\": 14046, \"source\": 0, \"target\": 3}, {\"weight\": 3699, \"source\": 0, \"target\": 7}, {\"weight\": 4785, \"source\": 0, \"target\": 8}, {\"weight\": 9979, \"source\": 0, \"target\": 6}, {\"weight\": 5998, \"source\": 0, \"target\": 2}, {\"weight\": 4035, \"source\": 0, \"target\": 4}, {\"weight\": 6147, \"source\": 0, \"target\": 1}, {\"weight\": 13018, \"source\": 0, \"target\": 5}, {\"weight\": 11810, \"source\": 1, \"target\": 3}, {\"weight\": 6136, \"source\": 1, \"target\": 7}, {\"weight\": 5877, \"source\": 1, \"target\": 8}, {\"weight\": 12050, \"source\": 1, \"target\": 6}, {\"weight\": 10084, \"source\": 1, \"target\": 2}, {\"weight\": 8932, \"source\": 1, \"target\": 4}, {\"weight\": 7827, \"source\": 1, \"target\": 5}, {\"weight\": 16752, \"source\": 2, \"target\": 3}, {\"weight\": 4613, \"source\": 2, \"target\": 7}, {\"weight\": 5835, \"source\": 2, \"target\": 8}, {\"weight\": 12142, \"source\": 2, \"target\": 6}, {\"weight\": 6272, \"source\": 2, \"target\": 4}, {\"weight\": 17071, \"source\": 2, \"target\": 5}, {\"weight\": 16500, \"source\": 3, \"target\": 7}, {\"weight\": 16573, \"source\": 3, \"target\": 8}, {\"weight\": 6193, \"source\": 3, \"target\": 6}, {\"weight\": 11508, \"source\": 3, \"target\": 4}, {\"weight\": 5015, \"source\": 3, \"target\": 5}, {\"weight\": 6869, \"source\": 4, \"target\": 7}, {\"weight\": 8083, \"source\": 4, \"target\": 8}, {\"weight\": 7350, \"source\": 4, \"target\": 6}, {\"weight\": 13184, \"source\": 4, \"target\": 5}, {\"weight\": 13338, \"source\": 5, \"target\": 7}, {\"weight\": 13147, \"source\": 5, \"target\": 8}, {\"weight\": 8172, \"source\": 5, \"target\": 6}, {\"weight\": 13148, \"source\": 6, \"target\": 7}, {\"weight\": 14367, \"source\": 6, \"target\": 8}, {\"weight\": 1830, \"source\": 7, \"target\": 8}]}",
"id": 1004,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: NCU, KUV, GMB, ADQ, LUZ, JHM, SBY, BHU, CMB\n- Travel distances (in kilometers) between each pair of airports:\nNCU to ADQ: 14046\nNCU to BHU: 3699\nNCU to CMB: 4785\nNCU to SBY: 9979\nNCU to GMB: 5998\nNCU to LUZ: 4035\nNCU to KUV: 6147\nNCU to JHM: 13018\nKUV to ADQ: 11810\nKUV to BHU: 6136\nKUV to CMB: 5877\nKUV to SBY: 12050\nKUV to GMB: 10084\nKUV to LUZ: 8932\nKUV to JHM: 7827\nGMB to ADQ: 16752\nGMB to BHU: 4613\nGMB to CMB: 5835\nGMB to SBY: 12142\nGMB to LUZ: 6272\nGMB to JHM: 17071\nADQ to BHU: 16500\nADQ to CMB: 16573\nADQ to SBY: 6193\nADQ to LUZ: 11508\nADQ to JHM: 5015\nLUZ to BHU: 6869\nLUZ to CMB: 8083\nLUZ to SBY: 7350\nLUZ to JHM: 13184\nJHM to BHU: 13338\nJHM to CMB: 13147\nJHM to SBY: 8172\nSBY to BHU: 13148\nSBY to CMB: 14367\nBHU to CMB: 1830\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, JNG, KIT, YAT, YGL, GHB, OST, PHX, DQA\n- Travel distances (in kilometers) between each pair of airports:\nHZH to YGL: 14008\nHZH to GHB: 14738\nHZH to KIT: 8298\nHZH to PHX: 12450\nHZH to DQA: 2981\nHZH to JNG: 1831\nHZH to OST: 9492\nHZH to YAT: 13639\nJNG to YGL: 12550\nJNG to GHB: 13280\nJNG to KIT: 8271\nJNG to PHX: 10921\nJNG to DQA: 1523\nJNG to OST: 9260\nJNG to YAT: 12181\nKIT to YGL: 8667\nKIT to GHB: 9630\nKIT to PHX: 10984\nKIT to DQA: 8805\nKIT to OST: 2620\nKIT to YAT: 8873\nYAT to YGL: 973\nYAT to GHB: 3286\nYAT to PHX: 3942\nYAT to DQA: 12640\nYAT to OST: 7724\nYGL to GHB: 3363\nYGL to PHX: 3979\nYGL to DQA: 13009\nYGL to OST: 7518\nGHB to PHX: 3560\nGHB to DQA: 13739\nGHB to OST: 8543\nOST to PHX: 9846\nOST to DQA: 9719\nPHX to DQA: 11451\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 41060,
"style": "rule"
}
|
{
"exact_answer": 41060,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"HZH\", \"id\": 0}, {\"name\": \"JNG\", \"id\": 1}, {\"name\": \"KIT\", \"id\": 2}, {\"name\": \"YAT\", \"id\": 3}, {\"name\": \"YGL\", \"id\": 4}, {\"name\": \"GHB\", \"id\": 5}, {\"name\": \"OST\", \"id\": 6}, {\"name\": \"PHX\", \"id\": 7}, {\"name\": \"DQA\", \"id\": 8}], \"links\": [{\"weight\": 14008, \"source\": 0, \"target\": 4}, {\"weight\": 14738, \"source\": 0, \"target\": 5}, {\"weight\": 8298, \"source\": 0, \"target\": 2}, {\"weight\": 12450, \"source\": 0, \"target\": 7}, {\"weight\": 2981, \"source\": 0, \"target\": 8}, {\"weight\": 1831, \"source\": 0, \"target\": 1}, {\"weight\": 9492, \"source\": 0, \"target\": 6}, {\"weight\": 13639, \"source\": 0, \"target\": 3}, {\"weight\": 12550, \"source\": 1, \"target\": 4}, {\"weight\": 13280, \"source\": 1, \"target\": 5}, {\"weight\": 8271, \"source\": 1, \"target\": 2}, {\"weight\": 10921, \"source\": 1, \"target\": 7}, {\"weight\": 1523, \"source\": 1, \"target\": 8}, {\"weight\": 9260, \"source\": 1, \"target\": 6}, {\"weight\": 12181, \"source\": 1, \"target\": 3}, {\"weight\": 8667, \"source\": 2, \"target\": 4}, {\"weight\": 9630, \"source\": 2, \"target\": 5}, {\"weight\": 10984, \"source\": 2, \"target\": 7}, {\"weight\": 8805, \"source\": 2, \"target\": 8}, {\"weight\": 2620, \"source\": 2, \"target\": 6}, {\"weight\": 8873, \"source\": 2, \"target\": 3}, {\"weight\": 973, \"source\": 3, \"target\": 4}, {\"weight\": 3286, \"source\": 3, \"target\": 5}, {\"weight\": 3942, \"source\": 3, \"target\": 7}, {\"weight\": 12640, \"source\": 3, \"target\": 8}, {\"weight\": 7724, \"source\": 3, \"target\": 6}, {\"weight\": 3363, \"source\": 4, \"target\": 5}, {\"weight\": 3979, \"source\": 4, \"target\": 7}, {\"weight\": 13009, \"source\": 4, \"target\": 8}, {\"weight\": 7518, \"source\": 4, \"target\": 6}, {\"weight\": 3560, \"source\": 5, \"target\": 7}, {\"weight\": 13739, \"source\": 5, \"target\": 8}, {\"weight\": 8543, \"source\": 5, \"target\": 6}, {\"weight\": 9846, \"source\": 6, \"target\": 7}, {\"weight\": 9719, \"source\": 6, \"target\": 8}, {\"weight\": 11451, \"source\": 7, \"target\": 8}]}",
"id": 1005,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, JNG, KIT, YAT, YGL, GHB, OST, PHX, DQA\n- Travel distances (in kilometers) between each pair of airports:\nHZH to YGL: 14008\nHZH to GHB: 14738\nHZH to KIT: 8298\nHZH to PHX: 12450\nHZH to DQA: 2981\nHZH to JNG: 1831\nHZH to OST: 9492\nHZH to YAT: 13639\nJNG to YGL: 12550\nJNG to GHB: 13280\nJNG to KIT: 8271\nJNG to PHX: 10921\nJNG to DQA: 1523\nJNG to OST: 9260\nJNG to YAT: 12181\nKIT to YGL: 8667\nKIT to GHB: 9630\nKIT to PHX: 10984\nKIT to DQA: 8805\nKIT to OST: 2620\nKIT to YAT: 8873\nYAT to YGL: 973\nYAT to GHB: 3286\nYAT to PHX: 3942\nYAT to DQA: 12640\nYAT to OST: 7724\nYGL to GHB: 3363\nYGL to PHX: 3979\nYGL to DQA: 13009\nYGL to OST: 7518\nGHB to PHX: 3560\nGHB to DQA: 13739\nGHB to OST: 8543\nOST to PHX: 9846\nOST to DQA: 9719\nPHX to DQA: 11451\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: FBS, GWT, CEG, EBL, SHC, YVO, YUY, VGZ, BGA\n- Travel distances (in kilometers) between each pair of airports:\nFBS to YUY: 4136\nFBS to GWT: 8398\nFBS to VGZ: 7368\nFBS to YVO: 4057\nFBS to BGA: 6717\nFBS to EBL: 11271\nFBS to SHC: 14335\nFBS to CEG: 7961\nGWT to YUY: 6552\nGWT to VGZ: 10024\nGWT to YVO: 6480\nGWT to BGA: 9623\nGWT to EBL: 3538\nGWT to SHC: 6438\nGWT to CEG: 1272\nCEG to YUY: 6194\nCEG to VGZ: 9850\nCEG to YVO: 6122\nCEG to BGA: 9502\nCEG to EBL: 4221\nCEG to SHC: 6894\nEBL to YUY: 9530\nEBL to VGZ: 12794\nEBL to YVO: 9458\nEBL to BGA: 12427\nEBL to SHC: 4117\nSHC to YUY: 12213\nSHC to VGZ: 15087\nSHC to YVO: 12141\nSHC to BGA: 14739\nYVO to YUY: 79\nYVO to VGZ: 5590\nYVO to BGA: 5062\nYUY to VGZ: 5662\nYUY to BGA: 5134\nVGZ to BGA: 926\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 41987,
"style": "rule"
}
|
{
"exact_answer": 41987,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"FBS\", \"id\": 0}, {\"name\": \"GWT\", \"id\": 1}, {\"name\": \"CEG\", \"id\": 2}, {\"name\": \"EBL\", \"id\": 3}, {\"name\": \"SHC\", \"id\": 4}, {\"name\": \"YVO\", \"id\": 5}, {\"name\": \"YUY\", \"id\": 6}, {\"name\": \"VGZ\", \"id\": 7}, {\"name\": \"BGA\", \"id\": 8}], \"links\": [{\"weight\": 4136, \"source\": 0, \"target\": 6}, {\"weight\": 8398, \"source\": 0, \"target\": 1}, {\"weight\": 7368, \"source\": 0, \"target\": 7}, {\"weight\": 4057, \"source\": 0, \"target\": 5}, {\"weight\": 6717, \"source\": 0, \"target\": 8}, {\"weight\": 11271, \"source\": 0, \"target\": 3}, {\"weight\": 14335, \"source\": 0, \"target\": 4}, {\"weight\": 7961, \"source\": 0, \"target\": 2}, {\"weight\": 6552, \"source\": 1, \"target\": 6}, {\"weight\": 10024, \"source\": 1, \"target\": 7}, {\"weight\": 6480, \"source\": 1, \"target\": 5}, {\"weight\": 9623, \"source\": 1, \"target\": 8}, {\"weight\": 3538, \"source\": 1, \"target\": 3}, {\"weight\": 6438, \"source\": 1, \"target\": 4}, {\"weight\": 1272, \"source\": 1, \"target\": 2}, {\"weight\": 6194, \"source\": 2, \"target\": 6}, {\"weight\": 9850, \"source\": 2, \"target\": 7}, {\"weight\": 6122, \"source\": 2, \"target\": 5}, {\"weight\": 9502, \"source\": 2, \"target\": 8}, {\"weight\": 4221, \"source\": 2, \"target\": 3}, {\"weight\": 6894, \"source\": 2, \"target\": 4}, {\"weight\": 9530, \"source\": 3, \"target\": 6}, {\"weight\": 12794, \"source\": 3, \"target\": 7}, {\"weight\": 9458, \"source\": 3, \"target\": 5}, {\"weight\": 12427, \"source\": 3, \"target\": 8}, {\"weight\": 4117, \"source\": 3, \"target\": 4}, {\"weight\": 12213, \"source\": 4, \"target\": 6}, {\"weight\": 15087, \"source\": 4, \"target\": 7}, {\"weight\": 12141, \"source\": 4, \"target\": 5}, {\"weight\": 14739, \"source\": 4, \"target\": 8}, {\"weight\": 79, \"source\": 5, \"target\": 6}, {\"weight\": 5590, \"source\": 5, \"target\": 7}, {\"weight\": 5062, \"source\": 5, \"target\": 8}, {\"weight\": 5662, \"source\": 6, \"target\": 7}, {\"weight\": 5134, \"source\": 6, \"target\": 8}, {\"weight\": 926, \"source\": 7, \"target\": 8}]}",
"id": 1006,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: FBS, GWT, CEG, EBL, SHC, YVO, YUY, VGZ, BGA\n- Travel distances (in kilometers) between each pair of airports:\nFBS to YUY: 4136\nFBS to GWT: 8398\nFBS to VGZ: 7368\nFBS to YVO: 4057\nFBS to BGA: 6717\nFBS to EBL: 11271\nFBS to SHC: 14335\nFBS to CEG: 7961\nGWT to YUY: 6552\nGWT to VGZ: 10024\nGWT to YVO: 6480\nGWT to BGA: 9623\nGWT to EBL: 3538\nGWT to SHC: 6438\nGWT to CEG: 1272\nCEG to YUY: 6194\nCEG to VGZ: 9850\nCEG to YVO: 6122\nCEG to BGA: 9502\nCEG to EBL: 4221\nCEG to SHC: 6894\nEBL to YUY: 9530\nEBL to VGZ: 12794\nEBL to YVO: 9458\nEBL to BGA: 12427\nEBL to SHC: 4117\nSHC to YUY: 12213\nSHC to VGZ: 15087\nSHC to YVO: 12141\nSHC to BGA: 14739\nYVO to YUY: 79\nYVO to VGZ: 5590\nYVO to BGA: 5062\nYUY to VGZ: 5662\nYUY to BGA: 5134\nVGZ to BGA: 926\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: MSJ, MOV, QRO, GRJ, GDX, BTH, YQZ, VAN, MJD\n- Travel distances (in kilometers) between each pair of airports:\nMSJ to YQZ: 8575\nMSJ to QRO: 11943\nMSJ to BTH: 6280\nMSJ to GDX: 4073\nMSJ to GRJ: 14893\nMSJ to VAN: 10484\nMSJ to MJD: 7427\nMSJ to MOV: 7380\nMOV to YQZ: 13113\nMOV to QRO: 14907\nMOV to BTH: 5608\nMOV to GDX: 9596\nMOV to GRJ: 13406\nMOV to VAN: 14330\nMOV to MJD: 10569\nQRO to YQZ: 4430\nQRO to BTH: 16825\nQRO to GDX: 14170\nQRO to GRJ: 16048\nQRO to VAN: 12642\nQRO to MJD: 15046\nGRJ to YQZ: 17873\nGRJ to BTH: 9812\nGRJ to GDX: 15341\nGRJ to VAN: 8953\nGRJ to MJD: 8645\nGDX to YQZ: 11022\nGDX to BTH: 8113\nGDX to VAN: 8712\nGDX to MJD: 7629\nBTH to YQZ: 13677\nBTH to VAN: 9054\nBTH to MJD: 5293\nYQZ to VAN: 11565\nYQZ to MJD: 13667\nVAN to MJD: 4373\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 66949,
"style": "rule"
}
|
{
"exact_answer": 66949,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"MSJ\", \"id\": 0}, {\"name\": \"MOV\", \"id\": 1}, {\"name\": \"QRO\", \"id\": 2}, {\"name\": \"GRJ\", \"id\": 3}, {\"name\": \"GDX\", \"id\": 4}, {\"name\": \"BTH\", \"id\": 5}, {\"name\": \"YQZ\", \"id\": 6}, {\"name\": \"VAN\", \"id\": 7}, {\"name\": \"MJD\", \"id\": 8}], \"links\": [{\"weight\": 8575, \"source\": 0, \"target\": 6}, {\"weight\": 11943, \"source\": 0, \"target\": 2}, {\"weight\": 6280, \"source\": 0, \"target\": 5}, {\"weight\": 4073, \"source\": 0, \"target\": 4}, {\"weight\": 14893, \"source\": 0, \"target\": 3}, {\"weight\": 10484, \"source\": 0, \"target\": 7}, {\"weight\": 7427, \"source\": 0, \"target\": 8}, {\"weight\": 7380, \"source\": 0, \"target\": 1}, {\"weight\": 13113, \"source\": 1, \"target\": 6}, {\"weight\": 14907, \"source\": 1, \"target\": 2}, {\"weight\": 5608, \"source\": 1, \"target\": 5}, {\"weight\": 9596, \"source\": 1, \"target\": 4}, {\"weight\": 13406, \"source\": 1, \"target\": 3}, {\"weight\": 14330, \"source\": 1, \"target\": 7}, {\"weight\": 10569, \"source\": 1, \"target\": 8}, {\"weight\": 4430, \"source\": 2, \"target\": 6}, {\"weight\": 16825, \"source\": 2, \"target\": 5}, {\"weight\": 14170, \"source\": 2, \"target\": 4}, {\"weight\": 16048, \"source\": 2, \"target\": 3}, {\"weight\": 12642, \"source\": 2, \"target\": 7}, {\"weight\": 15046, \"source\": 2, \"target\": 8}, {\"weight\": 17873, \"source\": 3, \"target\": 6}, {\"weight\": 9812, \"source\": 3, \"target\": 5}, {\"weight\": 15341, \"source\": 3, \"target\": 4}, {\"weight\": 8953, \"source\": 3, \"target\": 7}, {\"weight\": 8645, \"source\": 3, \"target\": 8}, {\"weight\": 11022, \"source\": 4, \"target\": 6}, {\"weight\": 8113, \"source\": 4, \"target\": 5}, {\"weight\": 8712, \"source\": 4, \"target\": 7}, {\"weight\": 7629, \"source\": 4, \"target\": 8}, {\"weight\": 13677, \"source\": 5, \"target\": 6}, {\"weight\": 9054, \"source\": 5, \"target\": 7}, {\"weight\": 5293, \"source\": 5, \"target\": 8}, {\"weight\": 11565, \"source\": 6, \"target\": 7}, {\"weight\": 13667, \"source\": 6, \"target\": 8}, {\"weight\": 4373, \"source\": 7, \"target\": 8}]}",
"id": 1007,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: MSJ, MOV, QRO, GRJ, GDX, BTH, YQZ, VAN, MJD\n- Travel distances (in kilometers) between each pair of airports:\nMSJ to YQZ: 8575\nMSJ to QRO: 11943\nMSJ to BTH: 6280\nMSJ to GDX: 4073\nMSJ to GRJ: 14893\nMSJ to VAN: 10484\nMSJ to MJD: 7427\nMSJ to MOV: 7380\nMOV to YQZ: 13113\nMOV to QRO: 14907\nMOV to BTH: 5608\nMOV to GDX: 9596\nMOV to GRJ: 13406\nMOV to VAN: 14330\nMOV to MJD: 10569\nQRO to YQZ: 4430\nQRO to BTH: 16825\nQRO to GDX: 14170\nQRO to GRJ: 16048\nQRO to VAN: 12642\nQRO to MJD: 15046\nGRJ to YQZ: 17873\nGRJ to BTH: 9812\nGRJ to GDX: 15341\nGRJ to VAN: 8953\nGRJ to MJD: 8645\nGDX to YQZ: 11022\nGDX to BTH: 8113\nGDX to VAN: 8712\nGDX to MJD: 7629\nBTH to YQZ: 13677\nBTH to VAN: 9054\nBTH to MJD: 5293\nYQZ to VAN: 11565\nYQZ to MJD: 13667\nVAN to MJD: 4373\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: WNR, SLH, PEC, GAF, VCL, JFK, MID, LYR, KGX\n- Travel distances (in kilometers) between each pair of airports:\nWNR to JFK: 16601\nWNR to MID: 15842\nWNR to KGX: 13781\nWNR to LYR: 16587\nWNR to PEC: 14142\nWNR to SLH: 3246\nWNR to GAF: 16132\nWNR to VCL: 7209\nSLH to JFK: 14288\nSLH to MID: 13529\nSLH to KGX: 11664\nSLH to LYR: 18195\nSLH to PEC: 12025\nSLH to GAF: 18183\nSLH to VCL: 9239\nPEC to JFK: 5453\nPEC to MID: 5736\nPEC to KGX: 1683\nPEC to LYR: 10742\nPEC to GAF: 11398\nPEC to VCL: 13293\nGAF to JFK: 7308\nGAF to MID: 9764\nGAF to KGX: 12817\nGAF to LYR: 4913\nGAF to VCL: 10524\nVCL to JFK: 14025\nVCL to MID: 15759\nVCL to KGX: 14712\nVCL to LYR: 10397\nJFK to MID: 2794\nJFK to KGX: 6354\nJFK to LYR: 7527\nMID to KGX: 7067\nMID to LYR: 10321\nLYR to KGX: 12161\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 54950,
"style": "rule"
}
|
{
"exact_answer": 54950,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"WNR\", \"id\": 0}, {\"name\": \"SLH\", \"id\": 1}, {\"name\": \"PEC\", \"id\": 2}, {\"name\": \"GAF\", \"id\": 3}, {\"name\": \"VCL\", \"id\": 4}, {\"name\": \"JFK\", \"id\": 5}, {\"name\": \"MID\", \"id\": 6}, {\"name\": \"LYR\", \"id\": 7}, {\"name\": \"KGX\", \"id\": 8}], \"links\": [{\"weight\": 16601, \"source\": 0, \"target\": 5}, {\"weight\": 15842, \"source\": 0, \"target\": 6}, {\"weight\": 13781, \"source\": 0, \"target\": 8}, {\"weight\": 16587, \"source\": 0, \"target\": 7}, {\"weight\": 14142, \"source\": 0, \"target\": 2}, {\"weight\": 3246, \"source\": 0, \"target\": 1}, {\"weight\": 16132, \"source\": 0, \"target\": 3}, {\"weight\": 7209, \"source\": 0, \"target\": 4}, {\"weight\": 14288, \"source\": 1, \"target\": 5}, {\"weight\": 13529, \"source\": 1, \"target\": 6}, {\"weight\": 11664, \"source\": 1, \"target\": 8}, {\"weight\": 18195, \"source\": 1, \"target\": 7}, {\"weight\": 12025, \"source\": 1, \"target\": 2}, {\"weight\": 18183, \"source\": 1, \"target\": 3}, {\"weight\": 9239, \"source\": 1, \"target\": 4}, {\"weight\": 5453, \"source\": 2, \"target\": 5}, {\"weight\": 5736, \"source\": 2, \"target\": 6}, {\"weight\": 1683, \"source\": 2, \"target\": 8}, {\"weight\": 10742, \"source\": 2, \"target\": 7}, {\"weight\": 11398, \"source\": 2, \"target\": 3}, {\"weight\": 13293, \"source\": 2, \"target\": 4}, {\"weight\": 7308, \"source\": 3, \"target\": 5}, {\"weight\": 9764, \"source\": 3, \"target\": 6}, {\"weight\": 12817, \"source\": 3, \"target\": 8}, {\"weight\": 4913, \"source\": 3, \"target\": 7}, {\"weight\": 10524, \"source\": 3, \"target\": 4}, {\"weight\": 14025, \"source\": 4, \"target\": 5}, {\"weight\": 15759, \"source\": 4, \"target\": 6}, {\"weight\": 14712, \"source\": 4, \"target\": 8}, {\"weight\": 10397, \"source\": 4, \"target\": 7}, {\"weight\": 2794, \"source\": 5, \"target\": 6}, {\"weight\": 6354, \"source\": 5, \"target\": 8}, {\"weight\": 7527, \"source\": 5, \"target\": 7}, {\"weight\": 7067, \"source\": 6, \"target\": 8}, {\"weight\": 10321, \"source\": 6, \"target\": 7}, {\"weight\": 12161, \"source\": 7, \"target\": 8}]}",
"id": 1008,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: WNR, SLH, PEC, GAF, VCL, JFK, MID, LYR, KGX\n- Travel distances (in kilometers) between each pair of airports:\nWNR to JFK: 16601\nWNR to MID: 15842\nWNR to KGX: 13781\nWNR to LYR: 16587\nWNR to PEC: 14142\nWNR to SLH: 3246\nWNR to GAF: 16132\nWNR to VCL: 7209\nSLH to JFK: 14288\nSLH to MID: 13529\nSLH to KGX: 11664\nSLH to LYR: 18195\nSLH to PEC: 12025\nSLH to GAF: 18183\nSLH to VCL: 9239\nPEC to JFK: 5453\nPEC to MID: 5736\nPEC to KGX: 1683\nPEC to LYR: 10742\nPEC to GAF: 11398\nPEC to VCL: 13293\nGAF to JFK: 7308\nGAF to MID: 9764\nGAF to KGX: 12817\nGAF to LYR: 4913\nGAF to VCL: 10524\nVCL to JFK: 14025\nVCL to MID: 15759\nVCL to KGX: 14712\nVCL to LYR: 10397\nJFK to MID: 2794\nJFK to KGX: 6354\nJFK to LYR: 7527\nMID to KGX: 7067\nMID to LYR: 10321\nLYR to KGX: 12161\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: GOM, LXS, USU, PIZ, IVC, TLE, GVA, LCX, YYD\n- Travel distances (in kilometers) between each pair of airports:\nGOM to GVA: 7839\nGOM to USU: 13688\nGOM to PIZ: 18875\nGOM to YYD: 15967\nGOM to LXS: 7489\nGOM to LCX: 14186\nGOM to TLE: 6675\nGOM to IVC: 17975\nLXS to GVA: 1807\nLXS to USU: 10130\nLXS to PIZ: 13496\nLXS to YYD: 10215\nLXS to LCX: 9441\nLXS to TLE: 7766\nLXS to IVC: 18036\nUSU to GVA: 10935\nUSU to PIZ: 14545\nUSU to YYD: 11520\nUSU to LCX: 2903\nUSU to TLE: 9943\nUSU to IVC: 8900\nPIZ to GVA: 12011\nPIZ to YYD: 4443\nPIZ to LCX: 13698\nPIZ to TLE: 20951\nPIZ to IVC: 14105\nIVC to GVA: 19371\nIVC to YYD: 13251\nIVC to LCX: 11166\nIVC to TLE: 13188\nTLE to GVA: 9111\nTLE to YYD: 17679\nTLE to LCX: 11142\nGVA to YYD: 8721\nGVA to LCX: 10035\nLCX to YYD: 10621\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 66185,
"style": "rule"
}
|
{
"exact_answer": 66185,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"GOM\", \"id\": 0}, {\"name\": \"LXS\", \"id\": 1}, {\"name\": \"USU\", \"id\": 2}, {\"name\": \"PIZ\", \"id\": 3}, {\"name\": \"IVC\", \"id\": 4}, {\"name\": \"TLE\", \"id\": 5}, {\"name\": \"GVA\", \"id\": 6}, {\"name\": \"LCX\", \"id\": 7}, {\"name\": \"YYD\", \"id\": 8}], \"links\": [{\"weight\": 7839, \"source\": 0, \"target\": 6}, {\"weight\": 13688, \"source\": 0, \"target\": 2}, {\"weight\": 18875, \"source\": 0, \"target\": 3}, {\"weight\": 15967, \"source\": 0, \"target\": 8}, {\"weight\": 7489, \"source\": 0, \"target\": 1}, {\"weight\": 14186, \"source\": 0, \"target\": 7}, {\"weight\": 6675, \"source\": 0, \"target\": 5}, {\"weight\": 17975, \"source\": 0, \"target\": 4}, {\"weight\": 1807, \"source\": 1, \"target\": 6}, {\"weight\": 10130, \"source\": 1, \"target\": 2}, {\"weight\": 13496, \"source\": 1, \"target\": 3}, {\"weight\": 10215, \"source\": 1, \"target\": 8}, {\"weight\": 9441, \"source\": 1, \"target\": 7}, {\"weight\": 7766, \"source\": 1, \"target\": 5}, {\"weight\": 18036, \"source\": 1, \"target\": 4}, {\"weight\": 10935, \"source\": 2, \"target\": 6}, {\"weight\": 14545, \"source\": 2, \"target\": 3}, {\"weight\": 11520, \"source\": 2, \"target\": 8}, {\"weight\": 2903, \"source\": 2, \"target\": 7}, {\"weight\": 9943, \"source\": 2, \"target\": 5}, {\"weight\": 8900, \"source\": 2, \"target\": 4}, {\"weight\": 12011, \"source\": 3, \"target\": 6}, {\"weight\": 4443, \"source\": 3, \"target\": 8}, {\"weight\": 13698, \"source\": 3, \"target\": 7}, {\"weight\": 20951, \"source\": 3, \"target\": 5}, {\"weight\": 14105, \"source\": 3, \"target\": 4}, {\"weight\": 19371, \"source\": 4, \"target\": 6}, {\"weight\": 13251, \"source\": 4, \"target\": 8}, {\"weight\": 11166, \"source\": 4, \"target\": 7}, {\"weight\": 13188, \"source\": 4, \"target\": 5}, {\"weight\": 9111, \"source\": 5, \"target\": 6}, {\"weight\": 17679, \"source\": 5, \"target\": 8}, {\"weight\": 11142, \"source\": 5, \"target\": 7}, {\"weight\": 8721, \"source\": 6, \"target\": 8}, {\"weight\": 10035, \"source\": 6, \"target\": 7}, {\"weight\": 10621, \"source\": 7, \"target\": 8}]}",
"id": 1009,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: GOM, LXS, USU, PIZ, IVC, TLE, GVA, LCX, YYD\n- Travel distances (in kilometers) between each pair of airports:\nGOM to GVA: 7839\nGOM to USU: 13688\nGOM to PIZ: 18875\nGOM to YYD: 15967\nGOM to LXS: 7489\nGOM to LCX: 14186\nGOM to TLE: 6675\nGOM to IVC: 17975\nLXS to GVA: 1807\nLXS to USU: 10130\nLXS to PIZ: 13496\nLXS to YYD: 10215\nLXS to LCX: 9441\nLXS to TLE: 7766\nLXS to IVC: 18036\nUSU to GVA: 10935\nUSU to PIZ: 14545\nUSU to YYD: 11520\nUSU to LCX: 2903\nUSU to TLE: 9943\nUSU to IVC: 8900\nPIZ to GVA: 12011\nPIZ to YYD: 4443\nPIZ to LCX: 13698\nPIZ to TLE: 20951\nPIZ to IVC: 14105\nIVC to GVA: 19371\nIVC to YYD: 13251\nIVC to LCX: 11166\nIVC to TLE: 13188\nTLE to GVA: 9111\nTLE to YYD: 17679\nTLE to LCX: 11142\nGVA to YYD: 8721\nGVA to LCX: 10035\nLCX to YYD: 10621\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: IAA, DIK, GHE, DBQ, ERL, IXM, JDZ, CVM, KRL\n- Travel distances (in kilometers) between each pair of airports:\nIAA to GHE: 15980\nIAA to IXM: 7012\nIAA to DBQ: 12623\nIAA to CVM: 15475\nIAA to JDZ: 4988\nIAA to KRL: 3470\nIAA to DIK: 13614\nIAA to ERL: 4345\nDIK to GHE: 5362\nDIK to IXM: 15419\nDIK to DBQ: 1542\nDIK to CVM: 3592\nDIK to JDZ: 12201\nDIK to KRL: 13321\nDIK to ERL: 11617\nGHE to IXM: 18092\nGHE to DBQ: 4498\nGHE to CVM: 3073\nGHE to JDZ: 15943\nGHE to KRL: 15689\nGHE to ERL: 15300\nDBQ to IXM: 14347\nDBQ to CVM: 3427\nDBQ to JDZ: 11991\nDBQ to KRL: 12305\nDBQ to ERL: 11348\nERL to IXM: 5550\nERL to CVM: 13461\nERL to JDZ: 1745\nERL to KRL: 2600\nIXM to CVM: 17304\nIXM to JDZ: 5030\nIXM to KRL: 4728\nJDZ to CVM: 14010\nJDZ to KRL: 3213\nCVM to KRL: 15182\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 50376,
"style": "rule"
}
|
{
"exact_answer": 50376,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"IAA\", \"id\": 0}, {\"name\": \"DIK\", \"id\": 1}, {\"name\": \"GHE\", \"id\": 2}, {\"name\": \"DBQ\", \"id\": 3}, {\"name\": \"ERL\", \"id\": 4}, {\"name\": \"IXM\", \"id\": 5}, {\"name\": \"JDZ\", \"id\": 6}, {\"name\": \"CVM\", \"id\": 7}, {\"name\": \"KRL\", \"id\": 8}], \"links\": [{\"weight\": 15980, \"source\": 0, \"target\": 2}, {\"weight\": 7012, \"source\": 0, \"target\": 5}, {\"weight\": 12623, \"source\": 0, \"target\": 3}, {\"weight\": 15475, \"source\": 0, \"target\": 7}, {\"weight\": 4988, \"source\": 0, \"target\": 6}, {\"weight\": 3470, \"source\": 0, \"target\": 8}, {\"weight\": 13614, \"source\": 0, \"target\": 1}, {\"weight\": 4345, \"source\": 0, \"target\": 4}, {\"weight\": 5362, \"source\": 1, \"target\": 2}, {\"weight\": 15419, \"source\": 1, \"target\": 5}, {\"weight\": 1542, \"source\": 1, \"target\": 3}, {\"weight\": 3592, \"source\": 1, \"target\": 7}, {\"weight\": 12201, \"source\": 1, \"target\": 6}, {\"weight\": 13321, \"source\": 1, \"target\": 8}, {\"weight\": 11617, \"source\": 1, \"target\": 4}, {\"weight\": 18092, \"source\": 2, \"target\": 5}, {\"weight\": 4498, \"source\": 2, \"target\": 3}, {\"weight\": 3073, \"source\": 2, \"target\": 7}, {\"weight\": 15943, \"source\": 2, \"target\": 6}, {\"weight\": 15689, \"source\": 2, \"target\": 8}, {\"weight\": 15300, \"source\": 2, \"target\": 4}, {\"weight\": 14347, \"source\": 3, \"target\": 5}, {\"weight\": 3427, \"source\": 3, \"target\": 7}, {\"weight\": 11991, \"source\": 3, \"target\": 6}, {\"weight\": 12305, \"source\": 3, \"target\": 8}, {\"weight\": 11348, \"source\": 3, \"target\": 4}, {\"weight\": 5550, \"source\": 4, \"target\": 5}, {\"weight\": 13461, \"source\": 4, \"target\": 7}, {\"weight\": 1745, \"source\": 4, \"target\": 6}, {\"weight\": 2600, \"source\": 4, \"target\": 8}, {\"weight\": 17304, \"source\": 5, \"target\": 7}, {\"weight\": 5030, \"source\": 5, \"target\": 6}, {\"weight\": 4728, \"source\": 5, \"target\": 8}, {\"weight\": 14010, \"source\": 6, \"target\": 7}, {\"weight\": 3213, \"source\": 6, \"target\": 8}, {\"weight\": 15182, \"source\": 7, \"target\": 8}]}",
"id": 1010,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: IAA, DIK, GHE, DBQ, ERL, IXM, JDZ, CVM, KRL\n- Travel distances (in kilometers) between each pair of airports:\nIAA to GHE: 15980\nIAA to IXM: 7012\nIAA to DBQ: 12623\nIAA to CVM: 15475\nIAA to JDZ: 4988\nIAA to KRL: 3470\nIAA to DIK: 13614\nIAA to ERL: 4345\nDIK to GHE: 5362\nDIK to IXM: 15419\nDIK to DBQ: 1542\nDIK to CVM: 3592\nDIK to JDZ: 12201\nDIK to KRL: 13321\nDIK to ERL: 11617\nGHE to IXM: 18092\nGHE to DBQ: 4498\nGHE to CVM: 3073\nGHE to JDZ: 15943\nGHE to KRL: 15689\nGHE to ERL: 15300\nDBQ to IXM: 14347\nDBQ to CVM: 3427\nDBQ to JDZ: 11991\nDBQ to KRL: 12305\nDBQ to ERL: 11348\nERL to IXM: 5550\nERL to CVM: 13461\nERL to JDZ: 1745\nERL to KRL: 2600\nIXM to CVM: 17304\nIXM to JDZ: 5030\nIXM to KRL: 4728\nJDZ to CVM: 14010\nJDZ to KRL: 3213\nCVM to KRL: 15182\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BXU, DNR, WYA, SAH, PPV, GKK, PED, LAX, MXL\n- Travel distances (in kilometers) between each pair of airports:\nBXU to LAX: 12255\nBXU to MXL: 13696\nBXU to SAH: 9066\nBXU to DNR: 11910\nBXU to PPV: 12409\nBXU to GKK: 6336\nBXU to PED: 10639\nBXU to WYA: 6807\nDNR to LAX: 9083\nDNR to MXL: 9824\nDNR to SAH: 5752\nDNR to PPV: 9197\nDNR to GKK: 9141\nDNR to PED: 3874\nDNR to WYA: 16812\nWYA to LAX: 13382\nWYA to MXL: 14823\nWYA to SAH: 12598\nWYA to PPV: 14960\nWYA to GKK: 9413\nWYA to PED: 15604\nSAH to LAX: 14235\nSAH to MXL: 15088\nSAH to PPV: 14406\nSAH to GKK: 4884\nSAH to PED: 6227\nPPV to LAX: 2788\nPPV to MXL: 4084\nPPV to GKK: 16186\nPPV to PED: 11230\nGKK to LAX: 16292\nGKK to MXL: 17733\nGKK to PED: 8628\nPED to LAX: 10978\nPED to MXL: 11912\nLAX to MXL: 1441\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 56232,
"style": "rule"
}
|
{
"exact_answer": 56232,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"BXU\", \"id\": 0}, {\"name\": \"DNR\", \"id\": 1}, {\"name\": \"WYA\", \"id\": 2}, {\"name\": \"SAH\", \"id\": 3}, {\"name\": \"PPV\", \"id\": 4}, {\"name\": \"GKK\", \"id\": 5}, {\"name\": \"PED\", \"id\": 6}, {\"name\": \"LAX\", \"id\": 7}, {\"name\": \"MXL\", \"id\": 8}], \"links\": [{\"weight\": 12255, \"source\": 0, \"target\": 7}, {\"weight\": 13696, \"source\": 0, \"target\": 8}, {\"weight\": 9066, \"source\": 0, \"target\": 3}, {\"weight\": 11910, \"source\": 0, \"target\": 1}, {\"weight\": 12409, \"source\": 0, \"target\": 4}, {\"weight\": 6336, \"source\": 0, \"target\": 5}, {\"weight\": 10639, \"source\": 0, \"target\": 6}, {\"weight\": 6807, \"source\": 0, \"target\": 2}, {\"weight\": 9083, \"source\": 1, \"target\": 7}, {\"weight\": 9824, \"source\": 1, \"target\": 8}, {\"weight\": 5752, \"source\": 1, \"target\": 3}, {\"weight\": 9197, \"source\": 1, \"target\": 4}, {\"weight\": 9141, \"source\": 1, \"target\": 5}, {\"weight\": 3874, \"source\": 1, \"target\": 6}, {\"weight\": 16812, \"source\": 1, \"target\": 2}, {\"weight\": 13382, \"source\": 2, \"target\": 7}, {\"weight\": 14823, \"source\": 2, \"target\": 8}, {\"weight\": 12598, \"source\": 2, \"target\": 3}, {\"weight\": 14960, \"source\": 2, \"target\": 4}, {\"weight\": 9413, \"source\": 2, \"target\": 5}, {\"weight\": 15604, \"source\": 2, \"target\": 6}, {\"weight\": 14235, \"source\": 3, \"target\": 7}, {\"weight\": 15088, \"source\": 3, \"target\": 8}, {\"weight\": 14406, \"source\": 3, \"target\": 4}, {\"weight\": 4884, \"source\": 3, \"target\": 5}, {\"weight\": 6227, \"source\": 3, \"target\": 6}, {\"weight\": 2788, \"source\": 4, \"target\": 7}, {\"weight\": 4084, \"source\": 4, \"target\": 8}, {\"weight\": 16186, \"source\": 4, \"target\": 5}, {\"weight\": 11230, \"source\": 4, \"target\": 6}, {\"weight\": 16292, \"source\": 5, \"target\": 7}, {\"weight\": 17733, \"source\": 5, \"target\": 8}, {\"weight\": 8628, \"source\": 5, \"target\": 6}, {\"weight\": 10978, \"source\": 6, \"target\": 7}, {\"weight\": 11912, \"source\": 6, \"target\": 8}, {\"weight\": 1441, \"source\": 7, \"target\": 8}]}",
"id": 1011,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BXU, DNR, WYA, SAH, PPV, GKK, PED, LAX, MXL\n- Travel distances (in kilometers) between each pair of airports:\nBXU to LAX: 12255\nBXU to MXL: 13696\nBXU to SAH: 9066\nBXU to DNR: 11910\nBXU to PPV: 12409\nBXU to GKK: 6336\nBXU to PED: 10639\nBXU to WYA: 6807\nDNR to LAX: 9083\nDNR to MXL: 9824\nDNR to SAH: 5752\nDNR to PPV: 9197\nDNR to GKK: 9141\nDNR to PED: 3874\nDNR to WYA: 16812\nWYA to LAX: 13382\nWYA to MXL: 14823\nWYA to SAH: 12598\nWYA to PPV: 14960\nWYA to GKK: 9413\nWYA to PED: 15604\nSAH to LAX: 14235\nSAH to MXL: 15088\nSAH to PPV: 14406\nSAH to GKK: 4884\nSAH to PED: 6227\nPPV to LAX: 2788\nPPV to MXL: 4084\nPPV to GKK: 16186\nPPV to PED: 11230\nGKK to LAX: 16292\nGKK to MXL: 17733\nGKK to PED: 8628\nPED to LAX: 10978\nPED to MXL: 11912\nLAX to MXL: 1441\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TJU, BNE, NHV, RAR, NUI, ROI, HMV, HOI, YQF\n- Travel distances (in kilometers) between each pair of airports:\nTJU to HMV: 5081\nTJU to NUI: 15389\nTJU to BNE: 12174\nTJU to YQF: 11709\nTJU to ROI: 6096\nTJU to RAR: 17103\nTJU to NHV: 17369\nTJU to HOI: 16879\nBNE to HMV: 15862\nBNE to NUI: 13126\nBNE to YQF: 12647\nBNE to ROI: 7894\nBNE to RAR: 5309\nBNE to NHV: 7489\nBNE to HOI: 6999\nNHV to HMV: 17590\nNHV to NUI: 11397\nNHV to YQF: 10079\nNHV to ROI: 15383\nNHV to RAR: 2548\nNHV to HOI: 2324\nRAR to HMV: 17107\nRAR to NUI: 11131\nRAR to YQF: 9596\nRAR to ROI: 12991\nRAR to HOI: 2058\nNUI to HMV: 11816\nNUI to YQF: 3961\nNUI to ROI: 15565\nNUI to HOI: 10907\nROI to HMV: 9631\nROI to YQF: 12961\nROI to HOI: 14893\nHMV to YQF: 8136\nHMV to HOI: 17100\nHOI to YQF: 9589\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 52256,
"style": "rule"
}
|
{
"exact_answer": 52256,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"TJU\", \"id\": 0}, {\"name\": \"BNE\", \"id\": 1}, {\"name\": \"NHV\", \"id\": 2}, {\"name\": \"RAR\", \"id\": 3}, {\"name\": \"NUI\", \"id\": 4}, {\"name\": \"ROI\", \"id\": 5}, {\"name\": \"HMV\", \"id\": 6}, {\"name\": \"HOI\", \"id\": 7}, {\"name\": \"YQF\", \"id\": 8}], \"links\": [{\"weight\": 5081, \"source\": 0, \"target\": 6}, {\"weight\": 15389, \"source\": 0, \"target\": 4}, {\"weight\": 12174, \"source\": 0, \"target\": 1}, {\"weight\": 11709, \"source\": 0, \"target\": 8}, {\"weight\": 6096, \"source\": 0, \"target\": 5}, {\"weight\": 17103, \"source\": 0, \"target\": 3}, {\"weight\": 17369, \"source\": 0, \"target\": 2}, {\"weight\": 16879, \"source\": 0, \"target\": 7}, {\"weight\": 15862, \"source\": 1, \"target\": 6}, {\"weight\": 13126, \"source\": 1, \"target\": 4}, {\"weight\": 12647, \"source\": 1, \"target\": 8}, {\"weight\": 7894, \"source\": 1, \"target\": 5}, {\"weight\": 5309, \"source\": 1, \"target\": 3}, {\"weight\": 7489, \"source\": 1, \"target\": 2}, {\"weight\": 6999, \"source\": 1, \"target\": 7}, {\"weight\": 17590, \"source\": 2, \"target\": 6}, {\"weight\": 11397, \"source\": 2, \"target\": 4}, {\"weight\": 10079, \"source\": 2, \"target\": 8}, {\"weight\": 15383, \"source\": 2, \"target\": 5}, {\"weight\": 2548, \"source\": 2, \"target\": 3}, {\"weight\": 2324, \"source\": 2, \"target\": 7}, {\"weight\": 17107, \"source\": 3, \"target\": 6}, {\"weight\": 11131, \"source\": 3, \"target\": 4}, {\"weight\": 9596, \"source\": 3, \"target\": 8}, {\"weight\": 12991, \"source\": 3, \"target\": 5}, {\"weight\": 2058, \"source\": 3, \"target\": 7}, {\"weight\": 11816, \"source\": 4, \"target\": 6}, {\"weight\": 3961, \"source\": 4, \"target\": 8}, {\"weight\": 15565, \"source\": 4, \"target\": 5}, {\"weight\": 10907, \"source\": 4, \"target\": 7}, {\"weight\": 9631, \"source\": 5, \"target\": 6}, {\"weight\": 12961, \"source\": 5, \"target\": 8}, {\"weight\": 14893, \"source\": 5, \"target\": 7}, {\"weight\": 8136, \"source\": 6, \"target\": 8}, {\"weight\": 17100, \"source\": 6, \"target\": 7}, {\"weight\": 9589, \"source\": 7, \"target\": 8}]}",
"id": 1012,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TJU, BNE, NHV, RAR, NUI, ROI, HMV, HOI, YQF\n- Travel distances (in kilometers) between each pair of airports:\nTJU to HMV: 5081\nTJU to NUI: 15389\nTJU to BNE: 12174\nTJU to YQF: 11709\nTJU to ROI: 6096\nTJU to RAR: 17103\nTJU to NHV: 17369\nTJU to HOI: 16879\nBNE to HMV: 15862\nBNE to NUI: 13126\nBNE to YQF: 12647\nBNE to ROI: 7894\nBNE to RAR: 5309\nBNE to NHV: 7489\nBNE to HOI: 6999\nNHV to HMV: 17590\nNHV to NUI: 11397\nNHV to YQF: 10079\nNHV to ROI: 15383\nNHV to RAR: 2548\nNHV to HOI: 2324\nRAR to HMV: 17107\nRAR to NUI: 11131\nRAR to YQF: 9596\nRAR to ROI: 12991\nRAR to HOI: 2058\nNUI to HMV: 11816\nNUI to YQF: 3961\nNUI to ROI: 15565\nNUI to HOI: 10907\nROI to HMV: 9631\nROI to YQF: 12961\nROI to HOI: 14893\nHMV to YQF: 8136\nHMV to HOI: 17100\nHOI to YQF: 9589\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: RKD, LIR, KCO, SYY, CAL, ZRH, YUS, CJB, MBS\n- Travel distances (in kilometers) between each pair of airports:\nRKD to ZRH: 6253\nRKD to LIR: 4049\nRKD to CJB: 13616\nRKD to MBS: 1415\nRKD to SYY: 5625\nRKD to CAL: 5433\nRKD to YUS: 13246\nRKD to KCO: 8579\nLIR to ZRH: 9623\nLIR to CJB: 17075\nLIR to MBS: 3664\nLIR to SYY: 8993\nLIR to CAL: 8801\nLIR to YUS: 15870\nLIR to KCO: 11987\nKCO to ZRH: 2367\nKCO to CJB: 5681\nKCO to MBS: 9273\nKCO to SYY: 3754\nKCO to CAL: 3602\nKCO to YUS: 6863\nSYY to ZRH: 1555\nSYY to CJB: 8684\nSYY to MBS: 6068\nSYY to CAL: 376\nSYY to YUS: 8485\nCAL to ZRH: 1411\nCAL to CJB: 8612\nCAL to MBS: 5876\nCAL to YUS: 8664\nZRH to CJB: 7538\nZRH to MBS: 6990\nZRH to YUS: 7993\nYUS to CJB: 4916\nYUS to MBS: 12736\nCJB to MBS: 14047\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 40777,
"style": "rule"
}
|
{
"exact_answer": 40777,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"RKD\", \"id\": 0}, {\"name\": \"LIR\", \"id\": 1}, {\"name\": \"KCO\", \"id\": 2}, {\"name\": \"SYY\", \"id\": 3}, {\"name\": \"CAL\", \"id\": 4}, {\"name\": \"ZRH\", \"id\": 5}, {\"name\": \"YUS\", \"id\": 6}, {\"name\": \"CJB\", \"id\": 7}, {\"name\": \"MBS\", \"id\": 8}], \"links\": [{\"weight\": 6253, \"source\": 0, \"target\": 5}, {\"weight\": 4049, \"source\": 0, \"target\": 1}, {\"weight\": 13616, \"source\": 0, \"target\": 7}, {\"weight\": 1415, \"source\": 0, \"target\": 8}, {\"weight\": 5625, \"source\": 0, \"target\": 3}, {\"weight\": 5433, \"source\": 0, \"target\": 4}, {\"weight\": 13246, \"source\": 0, \"target\": 6}, {\"weight\": 8579, \"source\": 0, \"target\": 2}, {\"weight\": 9623, \"source\": 1, \"target\": 5}, {\"weight\": 17075, \"source\": 1, \"target\": 7}, {\"weight\": 3664, \"source\": 1, \"target\": 8}, {\"weight\": 8993, \"source\": 1, \"target\": 3}, {\"weight\": 8801, \"source\": 1, \"target\": 4}, {\"weight\": 15870, \"source\": 1, \"target\": 6}, {\"weight\": 11987, \"source\": 1, \"target\": 2}, {\"weight\": 2367, \"source\": 2, \"target\": 5}, {\"weight\": 5681, \"source\": 2, \"target\": 7}, {\"weight\": 9273, \"source\": 2, \"target\": 8}, {\"weight\": 3754, \"source\": 2, \"target\": 3}, {\"weight\": 3602, \"source\": 2, \"target\": 4}, {\"weight\": 6863, \"source\": 2, \"target\": 6}, {\"weight\": 1555, \"source\": 3, \"target\": 5}, {\"weight\": 8684, \"source\": 3, \"target\": 7}, {\"weight\": 6068, \"source\": 3, \"target\": 8}, {\"weight\": 376, \"source\": 3, \"target\": 4}, {\"weight\": 8485, \"source\": 3, \"target\": 6}, {\"weight\": 1411, \"source\": 4, \"target\": 5}, {\"weight\": 8612, \"source\": 4, \"target\": 7}, {\"weight\": 5876, \"source\": 4, \"target\": 8}, {\"weight\": 8664, \"source\": 4, \"target\": 6}, {\"weight\": 7538, \"source\": 5, \"target\": 7}, {\"weight\": 6990, \"source\": 5, \"target\": 8}, {\"weight\": 7993, \"source\": 5, \"target\": 6}, {\"weight\": 4916, \"source\": 6, \"target\": 7}, {\"weight\": 12736, \"source\": 6, \"target\": 8}, {\"weight\": 14047, \"source\": 7, \"target\": 8}]}",
"id": 1013,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: RKD, LIR, KCO, SYY, CAL, ZRH, YUS, CJB, MBS\n- Travel distances (in kilometers) between each pair of airports:\nRKD to ZRH: 6253\nRKD to LIR: 4049\nRKD to CJB: 13616\nRKD to MBS: 1415\nRKD to SYY: 5625\nRKD to CAL: 5433\nRKD to YUS: 13246\nRKD to KCO: 8579\nLIR to ZRH: 9623\nLIR to CJB: 17075\nLIR to MBS: 3664\nLIR to SYY: 8993\nLIR to CAL: 8801\nLIR to YUS: 15870\nLIR to KCO: 11987\nKCO to ZRH: 2367\nKCO to CJB: 5681\nKCO to MBS: 9273\nKCO to SYY: 3754\nKCO to CAL: 3602\nKCO to YUS: 6863\nSYY to ZRH: 1555\nSYY to CJB: 8684\nSYY to MBS: 6068\nSYY to CAL: 376\nSYY to YUS: 8485\nCAL to ZRH: 1411\nCAL to CJB: 8612\nCAL to MBS: 5876\nCAL to YUS: 8664\nZRH to CJB: 7538\nZRH to MBS: 6990\nZRH to YUS: 7993\nYUS to CJB: 4916\nYUS to MBS: 12736\nCJB to MBS: 14047\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: RMA, UAP, TOB, SRV, YKU, TBZ, VLS, BHU, HUU\n- Travel distances (in kilometers) between each pair of airports:\nRMA to HUU: 15103\nRMA to SRV: 13133\nRMA to TOB: 15210\nRMA to BHU: 10442\nRMA to TBZ: 13448\nRMA to VLS: 2434\nRMA to UAP: 7992\nRMA to YKU: 15955\nUAP to HUU: 12186\nUAP to SRV: 11027\nUAP to TOB: 20040\nUAP to BHU: 17919\nUAP to TBZ: 18969\nUAP to VLS: 6731\nUAP to YKU: 12315\nTOB to HUU: 12413\nTOB to SRV: 13895\nTOB to BHU: 5376\nTOB to TBZ: 3205\nTOB to VLS: 16691\nTOB to YKU: 9205\nSRV to HUU: 11234\nSRV to BHU: 16761\nSRV to TBZ: 14445\nSRV to VLS: 11314\nSRV to YKU: 6655\nYKU to HUU: 7708\nYKU to BHU: 13730\nYKU to TBZ: 10296\nYKU to VLS: 14136\nTBZ to HUU: 14015\nTBZ to BHU: 3884\nTBZ to VLS: 14630\nVLS to HUU: 14707\nVLS to BHU: 11949\nBHU to HUU: 17617\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 64499,
"style": "rule"
}
|
{
"exact_answer": 64499,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"RMA\", \"id\": 0}, {\"name\": \"UAP\", \"id\": 1}, {\"name\": \"TOB\", \"id\": 2}, {\"name\": \"SRV\", \"id\": 3}, {\"name\": \"YKU\", \"id\": 4}, {\"name\": \"TBZ\", \"id\": 5}, {\"name\": \"VLS\", \"id\": 6}, {\"name\": \"BHU\", \"id\": 7}, {\"name\": \"HUU\", \"id\": 8}], \"links\": [{\"weight\": 15103, \"source\": 0, \"target\": 8}, {\"weight\": 13133, \"source\": 0, \"target\": 3}, {\"weight\": 15210, \"source\": 0, \"target\": 2}, {\"weight\": 10442, \"source\": 0, \"target\": 7}, {\"weight\": 13448, \"source\": 0, \"target\": 5}, {\"weight\": 2434, \"source\": 0, \"target\": 6}, {\"weight\": 7992, \"source\": 0, \"target\": 1}, {\"weight\": 15955, \"source\": 0, \"target\": 4}, {\"weight\": 12186, \"source\": 1, \"target\": 8}, {\"weight\": 11027, \"source\": 1, \"target\": 3}, {\"weight\": 20040, \"source\": 1, \"target\": 2}, {\"weight\": 17919, \"source\": 1, \"target\": 7}, {\"weight\": 18969, \"source\": 1, \"target\": 5}, {\"weight\": 6731, \"source\": 1, \"target\": 6}, {\"weight\": 12315, \"source\": 1, \"target\": 4}, {\"weight\": 12413, \"source\": 2, \"target\": 8}, {\"weight\": 13895, \"source\": 2, \"target\": 3}, {\"weight\": 5376, \"source\": 2, \"target\": 7}, {\"weight\": 3205, \"source\": 2, \"target\": 5}, {\"weight\": 16691, \"source\": 2, \"target\": 6}, {\"weight\": 9205, \"source\": 2, \"target\": 4}, {\"weight\": 11234, \"source\": 3, \"target\": 8}, {\"weight\": 16761, \"source\": 3, \"target\": 7}, {\"weight\": 14445, \"source\": 3, \"target\": 5}, {\"weight\": 11314, \"source\": 3, \"target\": 6}, {\"weight\": 6655, \"source\": 3, \"target\": 4}, {\"weight\": 7708, \"source\": 4, \"target\": 8}, {\"weight\": 13730, \"source\": 4, \"target\": 7}, {\"weight\": 10296, \"source\": 4, \"target\": 5}, {\"weight\": 14136, \"source\": 4, \"target\": 6}, {\"weight\": 14015, \"source\": 5, \"target\": 8}, {\"weight\": 3884, \"source\": 5, \"target\": 7}, {\"weight\": 14630, \"source\": 5, \"target\": 6}, {\"weight\": 14707, \"source\": 6, \"target\": 8}, {\"weight\": 11949, \"source\": 6, \"target\": 7}, {\"weight\": 17617, \"source\": 7, \"target\": 8}]}",
"id": 1014,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: RMA, UAP, TOB, SRV, YKU, TBZ, VLS, BHU, HUU\n- Travel distances (in kilometers) between each pair of airports:\nRMA to HUU: 15103\nRMA to SRV: 13133\nRMA to TOB: 15210\nRMA to BHU: 10442\nRMA to TBZ: 13448\nRMA to VLS: 2434\nRMA to UAP: 7992\nRMA to YKU: 15955\nUAP to HUU: 12186\nUAP to SRV: 11027\nUAP to TOB: 20040\nUAP to BHU: 17919\nUAP to TBZ: 18969\nUAP to VLS: 6731\nUAP to YKU: 12315\nTOB to HUU: 12413\nTOB to SRV: 13895\nTOB to BHU: 5376\nTOB to TBZ: 3205\nTOB to VLS: 16691\nTOB to YKU: 9205\nSRV to HUU: 11234\nSRV to BHU: 16761\nSRV to TBZ: 14445\nSRV to VLS: 11314\nSRV to YKU: 6655\nYKU to HUU: 7708\nYKU to BHU: 13730\nYKU to TBZ: 10296\nYKU to VLS: 14136\nTBZ to HUU: 14015\nTBZ to BHU: 3884\nTBZ to VLS: 14630\nVLS to HUU: 14707\nVLS to BHU: 11949\nBHU to HUU: 17617\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BMU, HUH, CKB, YUM, ZEM, BDU, OMR, HFS, YAM\n- Travel distances (in kilometers) between each pair of airports:\nBMU to YUM: 15131\nBMU to YAM: 16151\nBMU to OMR: 11567\nBMU to BDU: 13060\nBMU to CKB: 17072\nBMU to HUH: 11134\nBMU to HFS: 11886\nBMU to ZEM: 16840\nHUH to YUM: 7170\nHUH to YAM: 10294\nHUH to OMR: 17792\nHUH to BDU: 16721\nHUH to CKB: 10704\nHUH to HFS: 15897\nHUH to ZEM: 10983\nCKB to YUM: 3639\nCKB to YAM: 1292\nCKB to OMR: 8655\nCKB to BDU: 7558\nCKB to HFS: 7123\nCKB to ZEM: 1878\nYUM to YAM: 3502\nYUM to OMR: 11068\nYUM to BDU: 9774\nYUM to HFS: 9337\nYUM to ZEM: 4191\nZEM to YAM: 1025\nZEM to OMR: 8600\nZEM to BDU: 7997\nZEM to HFS: 7560\nBDU to YAM: 7488\nBDU to OMR: 3471\nBDU to HFS: 1674\nOMR to YAM: 8689\nOMR to HFS: 2445\nHFS to YAM: 7051\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 47943,
"style": "rule"
}
|
{
"exact_answer": 47943,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"BMU\", \"id\": 0}, {\"name\": \"HUH\", \"id\": 1}, {\"name\": \"CKB\", \"id\": 2}, {\"name\": \"YUM\", \"id\": 3}, {\"name\": \"ZEM\", \"id\": 4}, {\"name\": \"BDU\", \"id\": 5}, {\"name\": \"OMR\", \"id\": 6}, {\"name\": \"HFS\", \"id\": 7}, {\"name\": \"YAM\", \"id\": 8}], \"links\": [{\"weight\": 15131, \"source\": 0, \"target\": 3}, {\"weight\": 16151, \"source\": 0, \"target\": 8}, {\"weight\": 11567, \"source\": 0, \"target\": 6}, {\"weight\": 13060, \"source\": 0, \"target\": 5}, {\"weight\": 17072, \"source\": 0, \"target\": 2}, {\"weight\": 11134, \"source\": 0, \"target\": 1}, {\"weight\": 11886, \"source\": 0, \"target\": 7}, {\"weight\": 16840, \"source\": 0, \"target\": 4}, {\"weight\": 7170, \"source\": 1, \"target\": 3}, {\"weight\": 10294, \"source\": 1, \"target\": 8}, {\"weight\": 17792, \"source\": 1, \"target\": 6}, {\"weight\": 16721, \"source\": 1, \"target\": 5}, {\"weight\": 10704, \"source\": 1, \"target\": 2}, {\"weight\": 15897, \"source\": 1, \"target\": 7}, {\"weight\": 10983, \"source\": 1, \"target\": 4}, {\"weight\": 3639, \"source\": 2, \"target\": 3}, {\"weight\": 1292, \"source\": 2, \"target\": 8}, {\"weight\": 8655, \"source\": 2, \"target\": 6}, {\"weight\": 7558, \"source\": 2, \"target\": 5}, {\"weight\": 7123, \"source\": 2, \"target\": 7}, {\"weight\": 1878, \"source\": 2, \"target\": 4}, {\"weight\": 3502, \"source\": 3, \"target\": 8}, {\"weight\": 11068, \"source\": 3, \"target\": 6}, {\"weight\": 9774, \"source\": 3, \"target\": 5}, {\"weight\": 9337, \"source\": 3, \"target\": 7}, {\"weight\": 4191, \"source\": 3, \"target\": 4}, {\"weight\": 1025, \"source\": 4, \"target\": 8}, {\"weight\": 8600, \"source\": 4, \"target\": 6}, {\"weight\": 7997, \"source\": 4, \"target\": 5}, {\"weight\": 7560, \"source\": 4, \"target\": 7}, {\"weight\": 7488, \"source\": 5, \"target\": 8}, {\"weight\": 3471, \"source\": 5, \"target\": 6}, {\"weight\": 1674, \"source\": 5, \"target\": 7}, {\"weight\": 8689, \"source\": 6, \"target\": 8}, {\"weight\": 2445, \"source\": 6, \"target\": 7}, {\"weight\": 7051, \"source\": 7, \"target\": 8}]}",
"id": 1015,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BMU, HUH, CKB, YUM, ZEM, BDU, OMR, HFS, YAM\n- Travel distances (in kilometers) between each pair of airports:\nBMU to YUM: 15131\nBMU to YAM: 16151\nBMU to OMR: 11567\nBMU to BDU: 13060\nBMU to CKB: 17072\nBMU to HUH: 11134\nBMU to HFS: 11886\nBMU to ZEM: 16840\nHUH to YUM: 7170\nHUH to YAM: 10294\nHUH to OMR: 17792\nHUH to BDU: 16721\nHUH to CKB: 10704\nHUH to HFS: 15897\nHUH to ZEM: 10983\nCKB to YUM: 3639\nCKB to YAM: 1292\nCKB to OMR: 8655\nCKB to BDU: 7558\nCKB to HFS: 7123\nCKB to ZEM: 1878\nYUM to YAM: 3502\nYUM to OMR: 11068\nYUM to BDU: 9774\nYUM to HFS: 9337\nYUM to ZEM: 4191\nZEM to YAM: 1025\nZEM to OMR: 8600\nZEM to BDU: 7997\nZEM to HFS: 7560\nBDU to YAM: 7488\nBDU to OMR: 3471\nBDU to HFS: 1674\nOMR to YAM: 8689\nOMR to HFS: 2445\nHFS to YAM: 7051\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: OUA, SCU, CAP, VLV, AVP, KUL, DYU, BTT, PKC\n- Travel distances (in kilometers) between each pair of airports:\nOUA to KUL: 11656\nOUA to BTT: 14262\nOUA to DYU: 7755\nOUA to VLV: 9000\nOUA to AVP: 8183\nOUA to SCU: 10126\nOUA to CAP: 9862\nOUA to PKC: 12656\nSCU to KUL: 17993\nSCU to BTT: 8334\nSCU to DYU: 12801\nSCU to VLV: 2064\nSCU to AVP: 3139\nSCU to CAP: 1074\nSCU to PKC: 16427\nCAP to KUL: 17718\nCAP to BTT: 8178\nCAP to DYU: 12715\nCAP to VLV: 1800\nCAP to AVP: 2426\nCAP to PKC: 16164\nVLV to KUL: 18492\nVLV to BTT: 9739\nVLV to DYU: 13319\nVLV to AVP: 3945\nVLV to PKC: 17236\nAVP to KUL: 15677\nAVP to BTT: 6232\nAVP to DYU: 10795\nAVP to PKC: 14096\nKUL to BTT: 15730\nKUL to DYU: 5222\nKUL to PKC: 7637\nDYU to BTT: 14881\nDYU to PKC: 7031\nBTT to PKC: 13587\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 54997,
"style": "rule"
}
|
{
"exact_answer": 54997,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"OUA\", \"id\": 0}, {\"name\": \"SCU\", \"id\": 1}, {\"name\": \"CAP\", \"id\": 2}, {\"name\": \"VLV\", \"id\": 3}, {\"name\": \"AVP\", \"id\": 4}, {\"name\": \"KUL\", \"id\": 5}, {\"name\": \"DYU\", \"id\": 6}, {\"name\": \"BTT\", \"id\": 7}, {\"name\": \"PKC\", \"id\": 8}], \"links\": [{\"weight\": 11656, \"source\": 0, \"target\": 5}, {\"weight\": 14262, \"source\": 0, \"target\": 7}, {\"weight\": 7755, \"source\": 0, \"target\": 6}, {\"weight\": 9000, \"source\": 0, \"target\": 3}, {\"weight\": 8183, \"source\": 0, \"target\": 4}, {\"weight\": 10126, \"source\": 0, \"target\": 1}, {\"weight\": 9862, \"source\": 0, \"target\": 2}, {\"weight\": 12656, \"source\": 0, \"target\": 8}, {\"weight\": 17993, \"source\": 1, \"target\": 5}, {\"weight\": 8334, \"source\": 1, \"target\": 7}, {\"weight\": 12801, \"source\": 1, \"target\": 6}, {\"weight\": 2064, \"source\": 1, \"target\": 3}, {\"weight\": 3139, \"source\": 1, \"target\": 4}, {\"weight\": 1074, \"source\": 1, \"target\": 2}, {\"weight\": 16427, \"source\": 1, \"target\": 8}, {\"weight\": 17718, \"source\": 2, \"target\": 5}, {\"weight\": 8178, \"source\": 2, \"target\": 7}, {\"weight\": 12715, \"source\": 2, \"target\": 6}, {\"weight\": 1800, \"source\": 2, \"target\": 3}, {\"weight\": 2426, \"source\": 2, \"target\": 4}, {\"weight\": 16164, \"source\": 2, \"target\": 8}, {\"weight\": 18492, \"source\": 3, \"target\": 5}, {\"weight\": 9739, \"source\": 3, \"target\": 7}, {\"weight\": 13319, \"source\": 3, \"target\": 6}, {\"weight\": 3945, \"source\": 3, \"target\": 4}, {\"weight\": 17236, \"source\": 3, \"target\": 8}, {\"weight\": 15677, \"source\": 4, \"target\": 5}, {\"weight\": 6232, \"source\": 4, \"target\": 7}, {\"weight\": 10795, \"source\": 4, \"target\": 6}, {\"weight\": 14096, \"source\": 4, \"target\": 8}, {\"weight\": 15730, \"source\": 5, \"target\": 7}, {\"weight\": 5222, \"source\": 5, \"target\": 6}, {\"weight\": 7637, \"source\": 5, \"target\": 8}, {\"weight\": 14881, \"source\": 6, \"target\": 7}, {\"weight\": 7031, \"source\": 6, \"target\": 8}, {\"weight\": 13587, \"source\": 7, \"target\": 8}]}",
"id": 1016,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: OUA, SCU, CAP, VLV, AVP, KUL, DYU, BTT, PKC\n- Travel distances (in kilometers) between each pair of airports:\nOUA to KUL: 11656\nOUA to BTT: 14262\nOUA to DYU: 7755\nOUA to VLV: 9000\nOUA to AVP: 8183\nOUA to SCU: 10126\nOUA to CAP: 9862\nOUA to PKC: 12656\nSCU to KUL: 17993\nSCU to BTT: 8334\nSCU to DYU: 12801\nSCU to VLV: 2064\nSCU to AVP: 3139\nSCU to CAP: 1074\nSCU to PKC: 16427\nCAP to KUL: 17718\nCAP to BTT: 8178\nCAP to DYU: 12715\nCAP to VLV: 1800\nCAP to AVP: 2426\nCAP to PKC: 16164\nVLV to KUL: 18492\nVLV to BTT: 9739\nVLV to DYU: 13319\nVLV to AVP: 3945\nVLV to PKC: 17236\nAVP to KUL: 15677\nAVP to BTT: 6232\nAVP to DYU: 10795\nAVP to PKC: 14096\nKUL to BTT: 15730\nKUL to DYU: 5222\nKUL to PKC: 7637\nDYU to BTT: 14881\nDYU to PKC: 7031\nBTT to PKC: 13587\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: AFL, GIB, LVI, YHD, HSG, GAL, MAR, BIO, FMN\n- Travel distances (in kilometers) between each pair of airports:\nAFL to MAR: 5008\nAFL to BIO: 9537\nAFL to GAL: 13693\nAFL to HSG: 19423\nAFL to GIB: 12072\nAFL to LVI: 10369\nAFL to FMN: 9637\nAFL to YHD: 9548\nGIB to MAR: 9708\nGIB to BIO: 2674\nGIB to GAL: 12281\nGIB to HSG: 11200\nGIB to LVI: 10334\nGIB to FMN: 9708\nGIB to YHD: 8623\nLVI to MAR: 13308\nLVI to BIO: 8220\nLVI to GAL: 18983\nLVI to HSG: 12635\nLVI to FMN: 15739\nLVI to YHD: 14461\nYHD to MAR: 5079\nYHD to BIO: 7608\nYHD to GAL: 5128\nYHD to HSG: 10652\nYHD to FMN: 2047\nHSG to MAR: 14916\nHSG to BIO: 10277\nHSG to GAL: 11510\nHSG to FMN: 10721\nGAL to MAR: 9186\nGAL to BIO: 11472\nGAL to FMN: 4999\nMAR to BIO: 7743\nMAR to FMN: 5130\nBIO to FMN: 8888\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 61106,
"style": "rule"
}
|
{
"exact_answer": 61106,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"AFL\", \"id\": 0}, {\"name\": \"GIB\", \"id\": 1}, {\"name\": \"LVI\", \"id\": 2}, {\"name\": \"YHD\", \"id\": 3}, {\"name\": \"HSG\", \"id\": 4}, {\"name\": \"GAL\", \"id\": 5}, {\"name\": \"MAR\", \"id\": 6}, {\"name\": \"BIO\", \"id\": 7}, {\"name\": \"FMN\", \"id\": 8}], \"links\": [{\"weight\": 5008, \"source\": 0, \"target\": 6}, {\"weight\": 9537, \"source\": 0, \"target\": 7}, {\"weight\": 13693, \"source\": 0, \"target\": 5}, {\"weight\": 19423, \"source\": 0, \"target\": 4}, {\"weight\": 12072, \"source\": 0, \"target\": 1}, {\"weight\": 10369, \"source\": 0, \"target\": 2}, {\"weight\": 9637, \"source\": 0, \"target\": 8}, {\"weight\": 9548, \"source\": 0, \"target\": 3}, {\"weight\": 9708, \"source\": 1, \"target\": 6}, {\"weight\": 2674, \"source\": 1, \"target\": 7}, {\"weight\": 12281, \"source\": 1, \"target\": 5}, {\"weight\": 11200, \"source\": 1, \"target\": 4}, {\"weight\": 10334, \"source\": 1, \"target\": 2}, {\"weight\": 9708, \"source\": 1, \"target\": 8}, {\"weight\": 8623, \"source\": 1, \"target\": 3}, {\"weight\": 13308, \"source\": 2, \"target\": 6}, {\"weight\": 8220, \"source\": 2, \"target\": 7}, {\"weight\": 18983, \"source\": 2, \"target\": 5}, {\"weight\": 12635, \"source\": 2, \"target\": 4}, {\"weight\": 15739, \"source\": 2, \"target\": 8}, {\"weight\": 14461, \"source\": 2, \"target\": 3}, {\"weight\": 5079, \"source\": 3, \"target\": 6}, {\"weight\": 7608, \"source\": 3, \"target\": 7}, {\"weight\": 5128, \"source\": 3, \"target\": 5}, {\"weight\": 10652, \"source\": 3, \"target\": 4}, {\"weight\": 2047, \"source\": 3, \"target\": 8}, {\"weight\": 14916, \"source\": 4, \"target\": 6}, {\"weight\": 10277, \"source\": 4, \"target\": 7}, {\"weight\": 11510, \"source\": 4, \"target\": 5}, {\"weight\": 10721, \"source\": 4, \"target\": 8}, {\"weight\": 9186, \"source\": 5, \"target\": 6}, {\"weight\": 11472, \"source\": 5, \"target\": 7}, {\"weight\": 4999, \"source\": 5, \"target\": 8}, {\"weight\": 7743, \"source\": 6, \"target\": 7}, {\"weight\": 5130, \"source\": 6, \"target\": 8}, {\"weight\": 8888, \"source\": 7, \"target\": 8}]}",
"id": 1017,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: AFL, GIB, LVI, YHD, HSG, GAL, MAR, BIO, FMN\n- Travel distances (in kilometers) between each pair of airports:\nAFL to MAR: 5008\nAFL to BIO: 9537\nAFL to GAL: 13693\nAFL to HSG: 19423\nAFL to GIB: 12072\nAFL to LVI: 10369\nAFL to FMN: 9637\nAFL to YHD: 9548\nGIB to MAR: 9708\nGIB to BIO: 2674\nGIB to GAL: 12281\nGIB to HSG: 11200\nGIB to LVI: 10334\nGIB to FMN: 9708\nGIB to YHD: 8623\nLVI to MAR: 13308\nLVI to BIO: 8220\nLVI to GAL: 18983\nLVI to HSG: 12635\nLVI to FMN: 15739\nLVI to YHD: 14461\nYHD to MAR: 5079\nYHD to BIO: 7608\nYHD to GAL: 5128\nYHD to HSG: 10652\nYHD to FMN: 2047\nHSG to MAR: 14916\nHSG to BIO: 10277\nHSG to GAL: 11510\nHSG to FMN: 10721\nGAL to MAR: 9186\nGAL to BIO: 11472\nGAL to FMN: 4999\nMAR to BIO: 7743\nMAR to FMN: 5130\nBIO to FMN: 8888\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, KVL, JOL, SVZ, YHD, KVG, LDE, OSR, NYK\n- Travel distances (in kilometers) between each pair of airports:\nATY to KVL: 5356\nATY to LDE: 7760\nATY to KVG: 15398\nATY to NYK: 14189\nATY to OSR: 7976\nATY to YHD: 1266\nATY to JOL: 13722\nATY to SVZ: 5556\nKVL to LDE: 11993\nKVL to KVG: 14834\nKVL to NYK: 18448\nKVL to OSR: 12145\nKVL to YHD: 5568\nKVL to JOL: 14846\nKVL to SVZ: 10294\nJOL to LDE: 12267\nJOL to KVG: 4823\nJOL to NYK: 11024\nJOL to OSR: 11221\nJOL to YHD: 13319\nJOL to SVZ: 18651\nSVZ to LDE: 8098\nSVZ to KVG: 19663\nSVZ to NYK: 14242\nSVZ to OSR: 9430\nSVZ to YHD: 5761\nYHD to LDE: 7710\nYHD to KVG: 15395\nYHD to NYK: 14333\nYHD to OSR: 8180\nKVG to LDE: 16043\nKVG to NYK: 14259\nKVG to OSR: 14997\nLDE to NYK: 7537\nLDE to OSR: 1694\nOSR to NYK: 7077\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 59933,
"style": "rule"
}
|
{
"exact_answer": 59933,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"ATY\", \"id\": 0}, {\"name\": \"KVL\", \"id\": 1}, {\"name\": \"JOL\", \"id\": 2}, {\"name\": \"SVZ\", \"id\": 3}, {\"name\": \"YHD\", \"id\": 4}, {\"name\": \"KVG\", \"id\": 5}, {\"name\": \"LDE\", \"id\": 6}, {\"name\": \"OSR\", \"id\": 7}, {\"name\": \"NYK\", \"id\": 8}], \"links\": [{\"weight\": 5356, \"source\": 0, \"target\": 1}, {\"weight\": 7760, \"source\": 0, \"target\": 6}, {\"weight\": 15398, \"source\": 0, \"target\": 5}, {\"weight\": 14189, \"source\": 0, \"target\": 8}, {\"weight\": 7976, \"source\": 0, \"target\": 7}, {\"weight\": 1266, \"source\": 0, \"target\": 4}, {\"weight\": 13722, \"source\": 0, \"target\": 2}, {\"weight\": 5556, \"source\": 0, \"target\": 3}, {\"weight\": 11993, \"source\": 1, \"target\": 6}, {\"weight\": 14834, \"source\": 1, \"target\": 5}, {\"weight\": 18448, \"source\": 1, \"target\": 8}, {\"weight\": 12145, \"source\": 1, \"target\": 7}, {\"weight\": 5568, \"source\": 1, \"target\": 4}, {\"weight\": 14846, \"source\": 1, \"target\": 2}, {\"weight\": 10294, \"source\": 1, \"target\": 3}, {\"weight\": 12267, \"source\": 2, \"target\": 6}, {\"weight\": 4823, \"source\": 2, \"target\": 5}, {\"weight\": 11024, \"source\": 2, \"target\": 8}, {\"weight\": 11221, \"source\": 2, \"target\": 7}, {\"weight\": 13319, \"source\": 2, \"target\": 4}, {\"weight\": 18651, \"source\": 2, \"target\": 3}, {\"weight\": 8098, \"source\": 3, \"target\": 6}, {\"weight\": 19663, \"source\": 3, \"target\": 5}, {\"weight\": 14242, \"source\": 3, \"target\": 8}, {\"weight\": 9430, \"source\": 3, \"target\": 7}, {\"weight\": 5761, \"source\": 3, \"target\": 4}, {\"weight\": 7710, \"source\": 4, \"target\": 6}, {\"weight\": 15395, \"source\": 4, \"target\": 5}, {\"weight\": 14333, \"source\": 4, \"target\": 8}, {\"weight\": 8180, \"source\": 4, \"target\": 7}, {\"weight\": 16043, \"source\": 5, \"target\": 6}, {\"weight\": 14259, \"source\": 5, \"target\": 8}, {\"weight\": 14997, \"source\": 5, \"target\": 7}, {\"weight\": 7537, \"source\": 6, \"target\": 8}, {\"weight\": 1694, \"source\": 6, \"target\": 7}, {\"weight\": 7077, \"source\": 7, \"target\": 8}]}",
"id": 1018,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, KVL, JOL, SVZ, YHD, KVG, LDE, OSR, NYK\n- Travel distances (in kilometers) between each pair of airports:\nATY to KVL: 5356\nATY to LDE: 7760\nATY to KVG: 15398\nATY to NYK: 14189\nATY to OSR: 7976\nATY to YHD: 1266\nATY to JOL: 13722\nATY to SVZ: 5556\nKVL to LDE: 11993\nKVL to KVG: 14834\nKVL to NYK: 18448\nKVL to OSR: 12145\nKVL to YHD: 5568\nKVL to JOL: 14846\nKVL to SVZ: 10294\nJOL to LDE: 12267\nJOL to KVG: 4823\nJOL to NYK: 11024\nJOL to OSR: 11221\nJOL to YHD: 13319\nJOL to SVZ: 18651\nSVZ to LDE: 8098\nSVZ to KVG: 19663\nSVZ to NYK: 14242\nSVZ to OSR: 9430\nSVZ to YHD: 5761\nYHD to LDE: 7710\nYHD to KVG: 15395\nYHD to NYK: 14333\nYHD to OSR: 8180\nKVG to LDE: 16043\nKVG to NYK: 14259\nKVG to OSR: 14997\nLDE to NYK: 7537\nLDE to OSR: 1694\nOSR to NYK: 7077\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: AXM, IKI, KLW, NOP, TBW, BHR, ETR, BMI, STG\n- Travel distances (in kilometers) between each pair of airports:\nAXM to BMI: 4241\nAXM to STG: 10118\nAXM to ETR: 1335\nAXM to KLW: 7961\nAXM to IKI: 15489\nAXM to NOP: 11448\nAXM to TBW: 11577\nAXM to BHR: 16292\nIKI to BMI: 11258\nIKI to STG: 12315\nIKI to ETR: 15890\nIKI to KLW: 9937\nIKI to NOP: 9196\nIKI to TBW: 7818\nIKI to BHR: 4507\nKLW to BMI: 4026\nKLW to STG: 2614\nKLW to ETR: 8419\nKLW to NOP: 11659\nKLW to TBW: 10773\nKLW to BHR: 13145\nNOP to BMI: 9523\nNOP to STG: 14037\nNOP to ETR: 12415\nNOP to TBW: 2700\nNOP to BHR: 5979\nTBW to BMI: 8748\nTBW to STG: 13151\nTBW to ETR: 12548\nTBW to BHR: 5707\nBHR to BMI: 13113\nBHR to STG: 15523\nBHR to ETR: 17259\nETR to BMI: 5094\nETR to STG: 10709\nBMI to STG: 5878\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 49220,
"style": "rule"
}
|
{
"exact_answer": 49220,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"AXM\", \"id\": 0}, {\"name\": \"IKI\", \"id\": 1}, {\"name\": \"KLW\", \"id\": 2}, {\"name\": \"NOP\", \"id\": 3}, {\"name\": \"TBW\", \"id\": 4}, {\"name\": \"BHR\", \"id\": 5}, {\"name\": \"ETR\", \"id\": 6}, {\"name\": \"BMI\", \"id\": 7}, {\"name\": \"STG\", \"id\": 8}], \"links\": [{\"weight\": 4241, \"source\": 0, \"target\": 7}, {\"weight\": 10118, \"source\": 0, \"target\": 8}, {\"weight\": 1335, \"source\": 0, \"target\": 6}, {\"weight\": 7961, \"source\": 0, \"target\": 2}, {\"weight\": 15489, \"source\": 0, \"target\": 1}, {\"weight\": 11448, \"source\": 0, \"target\": 3}, {\"weight\": 11577, \"source\": 0, \"target\": 4}, {\"weight\": 16292, \"source\": 0, \"target\": 5}, {\"weight\": 11258, \"source\": 1, \"target\": 7}, {\"weight\": 12315, \"source\": 1, \"target\": 8}, {\"weight\": 15890, \"source\": 1, \"target\": 6}, {\"weight\": 9937, \"source\": 1, \"target\": 2}, {\"weight\": 9196, \"source\": 1, \"target\": 3}, {\"weight\": 7818, \"source\": 1, \"target\": 4}, {\"weight\": 4507, \"source\": 1, \"target\": 5}, {\"weight\": 4026, \"source\": 2, \"target\": 7}, {\"weight\": 2614, \"source\": 2, \"target\": 8}, {\"weight\": 8419, \"source\": 2, \"target\": 6}, {\"weight\": 11659, \"source\": 2, \"target\": 3}, {\"weight\": 10773, \"source\": 2, \"target\": 4}, {\"weight\": 13145, \"source\": 2, \"target\": 5}, {\"weight\": 9523, \"source\": 3, \"target\": 7}, {\"weight\": 14037, \"source\": 3, \"target\": 8}, {\"weight\": 12415, \"source\": 3, \"target\": 6}, {\"weight\": 2700, \"source\": 3, \"target\": 4}, {\"weight\": 5979, \"source\": 3, \"target\": 5}, {\"weight\": 8748, \"source\": 4, \"target\": 7}, {\"weight\": 13151, \"source\": 4, \"target\": 8}, {\"weight\": 12548, \"source\": 4, \"target\": 6}, {\"weight\": 5707, \"source\": 4, \"target\": 5}, {\"weight\": 13113, \"source\": 5, \"target\": 7}, {\"weight\": 15523, \"source\": 5, \"target\": 8}, {\"weight\": 17259, \"source\": 5, \"target\": 6}, {\"weight\": 5094, \"source\": 6, \"target\": 7}, {\"weight\": 10709, \"source\": 6, \"target\": 8}, {\"weight\": 5878, \"source\": 7, \"target\": 8}]}",
"id": 1019,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: AXM, IKI, KLW, NOP, TBW, BHR, ETR, BMI, STG\n- Travel distances (in kilometers) between each pair of airports:\nAXM to BMI: 4241\nAXM to STG: 10118\nAXM to ETR: 1335\nAXM to KLW: 7961\nAXM to IKI: 15489\nAXM to NOP: 11448\nAXM to TBW: 11577\nAXM to BHR: 16292\nIKI to BMI: 11258\nIKI to STG: 12315\nIKI to ETR: 15890\nIKI to KLW: 9937\nIKI to NOP: 9196\nIKI to TBW: 7818\nIKI to BHR: 4507\nKLW to BMI: 4026\nKLW to STG: 2614\nKLW to ETR: 8419\nKLW to NOP: 11659\nKLW to TBW: 10773\nKLW to BHR: 13145\nNOP to BMI: 9523\nNOP to STG: 14037\nNOP to ETR: 12415\nNOP to TBW: 2700\nNOP to BHR: 5979\nTBW to BMI: 8748\nTBW to STG: 13151\nTBW to ETR: 12548\nTBW to BHR: 5707\nBHR to BMI: 13113\nBHR to STG: 15523\nBHR to ETR: 17259\nETR to BMI: 5094\nETR to STG: 10709\nBMI to STG: 5878\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CSG, KTT, CCF, NOB, TMU, RYG, SAW, NJC, ZKG\n- Travel distances (in kilometers) between each pair of airports:\nCSG to NJC: 11023\nCSG to SAW: 9440\nCSG to NOB: 2920\nCSG to TMU: 2853\nCSG to KTT: 8749\nCSG to RYG: 7496\nCSG to CCF: 7622\nCSG to ZKG: 2854\nKTT to NJC: 3914\nKTT to SAW: 3023\nKTT to NOB: 11128\nKTT to TMU: 11061\nKTT to RYG: 1713\nKTT to CCF: 3323\nKTT to ZKG: 7264\nCCF to NJC: 5378\nCCF to SAW: 3010\nCCF to NOB: 9596\nCCF to TMU: 9529\nCCF to RYG: 1890\nCCF to ZKG: 5967\nNOB to TMU: 76\nNOB to NJC: 13402\nNOB to SAW: 11408\nNOB to RYG: 9876\nNOB to ZKG: 5314\nTMU to NJC: 13335\nTMU to SAW: 11341\nTMU to RYG: 9809\nTMU to ZKG: 5247\nRYG to NJC: 3896\nRYG to SAW: 2430\nRYG to ZKG: 5882\nSAW to NJC: 3919\nSAW to ZKG: 7148\nNJC to ZKG: 9406\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 33817,
"style": "rule"
}
|
{
"exact_answer": 33817,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"CSG\", \"id\": 0}, {\"name\": \"KTT\", \"id\": 1}, {\"name\": \"CCF\", \"id\": 2}, {\"name\": \"NOB\", \"id\": 3}, {\"name\": \"TMU\", \"id\": 4}, {\"name\": \"RYG\", \"id\": 5}, {\"name\": \"SAW\", \"id\": 6}, {\"name\": \"NJC\", \"id\": 7}, {\"name\": \"ZKG\", \"id\": 8}], \"links\": [{\"weight\": 11023, \"source\": 0, \"target\": 7}, {\"weight\": 9440, \"source\": 0, \"target\": 6}, {\"weight\": 2920, \"source\": 0, \"target\": 3}, {\"weight\": 2853, \"source\": 0, \"target\": 4}, {\"weight\": 8749, \"source\": 0, \"target\": 1}, {\"weight\": 7496, \"source\": 0, \"target\": 5}, {\"weight\": 7622, \"source\": 0, \"target\": 2}, {\"weight\": 2854, \"source\": 0, \"target\": 8}, {\"weight\": 3914, \"source\": 1, \"target\": 7}, {\"weight\": 3023, \"source\": 1, \"target\": 6}, {\"weight\": 11128, \"source\": 1, \"target\": 3}, {\"weight\": 11061, \"source\": 1, \"target\": 4}, {\"weight\": 1713, \"source\": 1, \"target\": 5}, {\"weight\": 3323, \"source\": 1, \"target\": 2}, {\"weight\": 7264, \"source\": 1, \"target\": 8}, {\"weight\": 5378, \"source\": 2, \"target\": 7}, {\"weight\": 3010, \"source\": 2, \"target\": 6}, {\"weight\": 9596, \"source\": 2, \"target\": 3}, {\"weight\": 9529, \"source\": 2, \"target\": 4}, {\"weight\": 1890, \"source\": 2, \"target\": 5}, {\"weight\": 5967, \"source\": 2, \"target\": 8}, {\"weight\": 76, \"source\": 3, \"target\": 4}, {\"weight\": 13402, \"source\": 3, \"target\": 7}, {\"weight\": 11408, \"source\": 3, \"target\": 6}, {\"weight\": 9876, \"source\": 3, \"target\": 5}, {\"weight\": 5314, \"source\": 3, \"target\": 8}, {\"weight\": 13335, \"source\": 4, \"target\": 7}, {\"weight\": 11341, \"source\": 4, \"target\": 6}, {\"weight\": 9809, \"source\": 4, \"target\": 5}, {\"weight\": 5247, \"source\": 4, \"target\": 8}, {\"weight\": 3896, \"source\": 5, \"target\": 7}, {\"weight\": 2430, \"source\": 5, \"target\": 6}, {\"weight\": 5882, \"source\": 5, \"target\": 8}, {\"weight\": 3919, \"source\": 6, \"target\": 7}, {\"weight\": 7148, \"source\": 6, \"target\": 8}, {\"weight\": 9406, \"source\": 7, \"target\": 8}]}",
"id": 1020,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CSG, KTT, CCF, NOB, TMU, RYG, SAW, NJC, ZKG\n- Travel distances (in kilometers) between each pair of airports:\nCSG to NJC: 11023\nCSG to SAW: 9440\nCSG to NOB: 2920\nCSG to TMU: 2853\nCSG to KTT: 8749\nCSG to RYG: 7496\nCSG to CCF: 7622\nCSG to ZKG: 2854\nKTT to NJC: 3914\nKTT to SAW: 3023\nKTT to NOB: 11128\nKTT to TMU: 11061\nKTT to RYG: 1713\nKTT to CCF: 3323\nKTT to ZKG: 7264\nCCF to NJC: 5378\nCCF to SAW: 3010\nCCF to NOB: 9596\nCCF to TMU: 9529\nCCF to RYG: 1890\nCCF to ZKG: 5967\nNOB to TMU: 76\nNOB to NJC: 13402\nNOB to SAW: 11408\nNOB to RYG: 9876\nNOB to ZKG: 5314\nTMU to NJC: 13335\nTMU to SAW: 11341\nTMU to RYG: 9809\nTMU to ZKG: 5247\nRYG to NJC: 3896\nRYG to SAW: 2430\nRYG to ZKG: 5882\nSAW to NJC: 3919\nSAW to ZKG: 7148\nNJC to ZKG: 9406\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: RMA, ADE, MLU, PMW, WRY, AGA, TDD, KNG, ABZ\n- Travel distances (in kilometers) between each pair of airports:\nRMA to PMW: 16475\nRMA to TDD: 14708\nRMA to ABZ: 16614\nRMA to MLU: 14273\nRMA to AGA: 18520\nRMA to ADE: 13190\nRMA to KNG: 6856\nRMA to WRY: 16856\nADE to PMW: 12081\nADE to TDD: 13457\nADE to ABZ: 6360\nADE to MLU: 13329\nADE to AGA: 6289\nADE to KNG: 10420\nADE to WRY: 6602\nMLU to PMW: 7163\nMLU to TDD: 6851\nMLU to ABZ: 7532\nMLU to AGA: 8114\nMLU to KNG: 17889\nMLU to WRY: 7496\nPMW to TDD: 3950\nPMW to ABZ: 9627\nPMW to AGA: 6852\nPMW to KNG: 21020\nPMW to WRY: 9831\nWRY to TDD: 11657\nWRY to ABZ: 242\nWRY to AGA: 3293\nWRY to KNG: 14437\nAGA to TDD: 9787\nAGA to ABZ: 3051\nAGA to KNG: 15750\nTDD to ABZ: 11419\nTDD to KNG: 20496\nKNG to ABZ: 14195\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 59097,
"style": "rule"
}
|
{
"exact_answer": 59097,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"RMA\", \"id\": 0}, {\"name\": \"ADE\", \"id\": 1}, {\"name\": \"MLU\", \"id\": 2}, {\"name\": \"PMW\", \"id\": 3}, {\"name\": \"WRY\", \"id\": 4}, {\"name\": \"AGA\", \"id\": 5}, {\"name\": \"TDD\", \"id\": 6}, {\"name\": \"KNG\", \"id\": 7}, {\"name\": \"ABZ\", \"id\": 8}], \"links\": [{\"weight\": 16475, \"source\": 0, \"target\": 3}, {\"weight\": 14708, \"source\": 0, \"target\": 6}, {\"weight\": 16614, \"source\": 0, \"target\": 8}, {\"weight\": 14273, \"source\": 0, \"target\": 2}, {\"weight\": 18520, \"source\": 0, \"target\": 5}, {\"weight\": 13190, \"source\": 0, \"target\": 1}, {\"weight\": 6856, \"source\": 0, \"target\": 7}, {\"weight\": 16856, \"source\": 0, \"target\": 4}, {\"weight\": 12081, \"source\": 1, \"target\": 3}, {\"weight\": 13457, \"source\": 1, \"target\": 6}, {\"weight\": 6360, \"source\": 1, \"target\": 8}, {\"weight\": 13329, \"source\": 1, \"target\": 2}, {\"weight\": 6289, \"source\": 1, \"target\": 5}, {\"weight\": 10420, \"source\": 1, \"target\": 7}, {\"weight\": 6602, \"source\": 1, \"target\": 4}, {\"weight\": 7163, \"source\": 2, \"target\": 3}, {\"weight\": 6851, \"source\": 2, \"target\": 6}, {\"weight\": 7532, \"source\": 2, \"target\": 8}, {\"weight\": 8114, \"source\": 2, \"target\": 5}, {\"weight\": 17889, \"source\": 2, \"target\": 7}, {\"weight\": 7496, \"source\": 2, \"target\": 4}, {\"weight\": 3950, \"source\": 3, \"target\": 6}, {\"weight\": 9627, \"source\": 3, \"target\": 8}, {\"weight\": 6852, \"source\": 3, \"target\": 5}, {\"weight\": 21020, \"source\": 3, \"target\": 7}, {\"weight\": 9831, \"source\": 3, \"target\": 4}, {\"weight\": 11657, \"source\": 4, \"target\": 6}, {\"weight\": 242, \"source\": 4, \"target\": 8}, {\"weight\": 3293, \"source\": 4, \"target\": 5}, {\"weight\": 14437, \"source\": 4, \"target\": 7}, {\"weight\": 9787, \"source\": 5, \"target\": 6}, {\"weight\": 3051, \"source\": 5, \"target\": 8}, {\"weight\": 15750, \"source\": 5, \"target\": 7}, {\"weight\": 11419, \"source\": 6, \"target\": 8}, {\"weight\": 20496, \"source\": 6, \"target\": 7}, {\"weight\": 14195, \"source\": 7, \"target\": 8}]}",
"id": 1021,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: RMA, ADE, MLU, PMW, WRY, AGA, TDD, KNG, ABZ\n- Travel distances (in kilometers) between each pair of airports:\nRMA to PMW: 16475\nRMA to TDD: 14708\nRMA to ABZ: 16614\nRMA to MLU: 14273\nRMA to AGA: 18520\nRMA to ADE: 13190\nRMA to KNG: 6856\nRMA to WRY: 16856\nADE to PMW: 12081\nADE to TDD: 13457\nADE to ABZ: 6360\nADE to MLU: 13329\nADE to AGA: 6289\nADE to KNG: 10420\nADE to WRY: 6602\nMLU to PMW: 7163\nMLU to TDD: 6851\nMLU to ABZ: 7532\nMLU to AGA: 8114\nMLU to KNG: 17889\nMLU to WRY: 7496\nPMW to TDD: 3950\nPMW to ABZ: 9627\nPMW to AGA: 6852\nPMW to KNG: 21020\nPMW to WRY: 9831\nWRY to TDD: 11657\nWRY to ABZ: 242\nWRY to AGA: 3293\nWRY to KNG: 14437\nAGA to TDD: 9787\nAGA to ABZ: 3051\nAGA to KNG: 15750\nTDD to ABZ: 11419\nTDD to KNG: 20496\nKNG to ABZ: 14195\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PTH, FMA, GDQ, TLN, OPS, YUS, YWP, BUS, LEC\n- Travel distances (in kilometers) between each pair of airports:\nPTH to OPS: 13350\nPTH to BUS: 13539\nPTH to LEC: 13724\nPTH to TLN: 11768\nPTH to FMA: 15095\nPTH to GDQ: 16978\nPTH to YUS: 13621\nPTH to YWP: 6055\nFMA to OPS: 3900\nFMA to BUS: 14250\nFMA to LEC: 4395\nFMA to TLN: 12669\nFMA to GDQ: 12975\nFMA to YUS: 19978\nFMA to YWP: 11574\nGDQ to OPS: 11928\nGDQ to BUS: 4689\nGDQ to LEC: 11226\nGDQ to TLN: 6679\nGDQ to YUS: 8275\nGDQ to YWP: 13361\nTLN to OPS: 10357\nTLN to BUS: 3992\nTLN to LEC: 8947\nTLN to YUS: 8981\nTLN to YWP: 8161\nOPS to BUS: 12263\nOPS to LEC: 2344\nOPS to YUS: 17936\nOPS to YWP: 9560\nYUS to BUS: 5802\nYUS to LEC: 16486\nYUS to YWP: 13414\nYWP to BUS: 10326\nYWP to LEC: 9855\nBUS to LEC: 10973\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 63397,
"style": "rule"
}
|
{
"exact_answer": 63397,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"PTH\", \"id\": 0}, {\"name\": \"FMA\", \"id\": 1}, {\"name\": \"GDQ\", \"id\": 2}, {\"name\": \"TLN\", \"id\": 3}, {\"name\": \"OPS\", \"id\": 4}, {\"name\": \"YUS\", \"id\": 5}, {\"name\": \"YWP\", \"id\": 6}, {\"name\": \"BUS\", \"id\": 7}, {\"name\": \"LEC\", \"id\": 8}], \"links\": [{\"weight\": 13350, \"source\": 0, \"target\": 4}, {\"weight\": 13539, \"source\": 0, \"target\": 7}, {\"weight\": 13724, \"source\": 0, \"target\": 8}, {\"weight\": 11768, \"source\": 0, \"target\": 3}, {\"weight\": 15095, \"source\": 0, \"target\": 1}, {\"weight\": 16978, \"source\": 0, \"target\": 2}, {\"weight\": 13621, \"source\": 0, \"target\": 5}, {\"weight\": 6055, \"source\": 0, \"target\": 6}, {\"weight\": 3900, \"source\": 1, \"target\": 4}, {\"weight\": 14250, \"source\": 1, \"target\": 7}, {\"weight\": 4395, \"source\": 1, \"target\": 8}, {\"weight\": 12669, \"source\": 1, \"target\": 3}, {\"weight\": 12975, \"source\": 1, \"target\": 2}, {\"weight\": 19978, \"source\": 1, \"target\": 5}, {\"weight\": 11574, \"source\": 1, \"target\": 6}, {\"weight\": 11928, \"source\": 2, \"target\": 4}, {\"weight\": 4689, \"source\": 2, \"target\": 7}, {\"weight\": 11226, \"source\": 2, \"target\": 8}, {\"weight\": 6679, \"source\": 2, \"target\": 3}, {\"weight\": 8275, \"source\": 2, \"target\": 5}, {\"weight\": 13361, \"source\": 2, \"target\": 6}, {\"weight\": 10357, \"source\": 3, \"target\": 4}, {\"weight\": 3992, \"source\": 3, \"target\": 7}, {\"weight\": 8947, \"source\": 3, \"target\": 8}, {\"weight\": 8981, \"source\": 3, \"target\": 5}, {\"weight\": 8161, \"source\": 3, \"target\": 6}, {\"weight\": 12263, \"source\": 4, \"target\": 7}, {\"weight\": 2344, \"source\": 4, \"target\": 8}, {\"weight\": 17936, \"source\": 4, \"target\": 5}, {\"weight\": 9560, \"source\": 4, \"target\": 6}, {\"weight\": 5802, \"source\": 5, \"target\": 7}, {\"weight\": 16486, \"source\": 5, \"target\": 8}, {\"weight\": 13414, \"source\": 5, \"target\": 6}, {\"weight\": 10326, \"source\": 6, \"target\": 7}, {\"weight\": 9855, \"source\": 6, \"target\": 8}, {\"weight\": 10973, \"source\": 7, \"target\": 8}]}",
"id": 1022,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PTH, FMA, GDQ, TLN, OPS, YUS, YWP, BUS, LEC\n- Travel distances (in kilometers) between each pair of airports:\nPTH to OPS: 13350\nPTH to BUS: 13539\nPTH to LEC: 13724\nPTH to TLN: 11768\nPTH to FMA: 15095\nPTH to GDQ: 16978\nPTH to YUS: 13621\nPTH to YWP: 6055\nFMA to OPS: 3900\nFMA to BUS: 14250\nFMA to LEC: 4395\nFMA to TLN: 12669\nFMA to GDQ: 12975\nFMA to YUS: 19978\nFMA to YWP: 11574\nGDQ to OPS: 11928\nGDQ to BUS: 4689\nGDQ to LEC: 11226\nGDQ to TLN: 6679\nGDQ to YUS: 8275\nGDQ to YWP: 13361\nTLN to OPS: 10357\nTLN to BUS: 3992\nTLN to LEC: 8947\nTLN to YUS: 8981\nTLN to YWP: 8161\nOPS to BUS: 12263\nOPS to LEC: 2344\nOPS to YUS: 17936\nOPS to YWP: 9560\nYUS to BUS: 5802\nYUS to LEC: 16486\nYUS to YWP: 13414\nYWP to BUS: 10326\nYWP to LEC: 9855\nBUS to LEC: 10973\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ZIH, STI, FAR, ANI, INL, COK, MCY, VNO, XMN\n- Travel distances (in kilometers) between each pair of airports:\nZIH to XMN: 13699\nZIH to COK: 17069\nZIH to ANI: 6662\nZIH to FAR: 3372\nZIH to STI: 3593\nZIH to VNO: 10567\nZIH to INL: 3585\nZIH to MCY: 15374\nSTI to XMN: 15067\nSTI to COK: 15464\nSTI to ANI: 8072\nSTI to FAR: 3884\nSTI to VNO: 9092\nSTI to INL: 3935\nSTI to MCY: 17665\nFAR to XMN: 12378\nFAR to COK: 14963\nFAR to ANI: 4910\nFAR to VNO: 8419\nFAR to INL: 767\nFAR to MCY: 15136\nANI to XMN: 12840\nANI to COK: 17005\nANI to VNO: 11474\nANI to INL: 4961\nANI to MCY: 13990\nINL to XMN: 12429\nINL to COK: 15014\nINL to VNO: 8470\nINL to MCY: 15745\nCOK to XMN: 4725\nCOK to VNO: 6784\nCOK to MCY: 10177\nMCY to XMN: 8254\nMCY to VNO: 16140\nVNO to XMN: 8021\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 55538,
"style": "rule"
}
|
{
"exact_answer": 55538,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"ZIH\", \"id\": 0}, {\"name\": \"STI\", \"id\": 1}, {\"name\": \"FAR\", \"id\": 2}, {\"name\": \"ANI\", \"id\": 3}, {\"name\": \"INL\", \"id\": 4}, {\"name\": \"COK\", \"id\": 5}, {\"name\": \"MCY\", \"id\": 6}, {\"name\": \"VNO\", \"id\": 7}, {\"name\": \"XMN\", \"id\": 8}], \"links\": [{\"weight\": 13699, \"source\": 0, \"target\": 8}, {\"weight\": 17069, \"source\": 0, \"target\": 5}, {\"weight\": 6662, \"source\": 0, \"target\": 3}, {\"weight\": 3372, \"source\": 0, \"target\": 2}, {\"weight\": 3593, \"source\": 0, \"target\": 1}, {\"weight\": 10567, \"source\": 0, \"target\": 7}, {\"weight\": 3585, \"source\": 0, \"target\": 4}, {\"weight\": 15374, \"source\": 0, \"target\": 6}, {\"weight\": 15067, \"source\": 1, \"target\": 8}, {\"weight\": 15464, \"source\": 1, \"target\": 5}, {\"weight\": 8072, \"source\": 1, \"target\": 3}, {\"weight\": 3884, \"source\": 1, \"target\": 2}, {\"weight\": 9092, \"source\": 1, \"target\": 7}, {\"weight\": 3935, \"source\": 1, \"target\": 4}, {\"weight\": 17665, \"source\": 1, \"target\": 6}, {\"weight\": 12378, \"source\": 2, \"target\": 8}, {\"weight\": 14963, \"source\": 2, \"target\": 5}, {\"weight\": 4910, \"source\": 2, \"target\": 3}, {\"weight\": 8419, \"source\": 2, \"target\": 7}, {\"weight\": 767, \"source\": 2, \"target\": 4}, {\"weight\": 15136, \"source\": 2, \"target\": 6}, {\"weight\": 12840, \"source\": 3, \"target\": 8}, {\"weight\": 17005, \"source\": 3, \"target\": 5}, {\"weight\": 11474, \"source\": 3, \"target\": 7}, {\"weight\": 4961, \"source\": 3, \"target\": 4}, {\"weight\": 13990, \"source\": 3, \"target\": 6}, {\"weight\": 12429, \"source\": 4, \"target\": 8}, {\"weight\": 15014, \"source\": 4, \"target\": 5}, {\"weight\": 8470, \"source\": 4, \"target\": 7}, {\"weight\": 15745, \"source\": 4, \"target\": 6}, {\"weight\": 4725, \"source\": 5, \"target\": 8}, {\"weight\": 6784, \"source\": 5, \"target\": 7}, {\"weight\": 10177, \"source\": 5, \"target\": 6}, {\"weight\": 8254, \"source\": 6, \"target\": 8}, {\"weight\": 16140, \"source\": 6, \"target\": 7}, {\"weight\": 8021, \"source\": 7, \"target\": 8}]}",
"id": 1023,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ZIH, STI, FAR, ANI, INL, COK, MCY, VNO, XMN\n- Travel distances (in kilometers) between each pair of airports:\nZIH to XMN: 13699\nZIH to COK: 17069\nZIH to ANI: 6662\nZIH to FAR: 3372\nZIH to STI: 3593\nZIH to VNO: 10567\nZIH to INL: 3585\nZIH to MCY: 15374\nSTI to XMN: 15067\nSTI to COK: 15464\nSTI to ANI: 8072\nSTI to FAR: 3884\nSTI to VNO: 9092\nSTI to INL: 3935\nSTI to MCY: 17665\nFAR to XMN: 12378\nFAR to COK: 14963\nFAR to ANI: 4910\nFAR to VNO: 8419\nFAR to INL: 767\nFAR to MCY: 15136\nANI to XMN: 12840\nANI to COK: 17005\nANI to VNO: 11474\nANI to INL: 4961\nANI to MCY: 13990\nINL to XMN: 12429\nINL to COK: 15014\nINL to VNO: 8470\nINL to MCY: 15745\nCOK to XMN: 4725\nCOK to VNO: 6784\nCOK to MCY: 10177\nMCY to XMN: 8254\nMCY to VNO: 16140\nVNO to XMN: 8021\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ISA, ASO, TYS, NBO, OAK, YMO, IKT, EZE, CZX\n- Travel distances (in kilometers) between each pair of airports:\nISA to IKT: 8999\nISA to NBO: 12464\nISA to CZX: 6424\nISA to EZE: 14650\nISA to TYS: 16174\nISA to OAK: 12996\nISA to ASO: 12866\nISA to YMO: 16832\nASO to IKT: 8063\nASO to NBO: 1639\nASO to CZX: 9184\nASO to EZE: 12128\nASO to TYS: 12713\nASO to OAK: 14962\nASO to YMO: 12476\nTYS to IKT: 12349\nTYS to NBO: 13315\nTYS to CZX: 12276\nTYS to EZE: 8285\nTYS to OAK: 3402\nTYS to YMO: 1923\nNBO to IKT: 8626\nNBO to CZX: 9414\nNBO to EZE: 10948\nNBO to OAK: 15566\nNBO to YMO: 12946\nOAK to IKT: 11404\nOAK to CZX: 10409\nOAK to EZE: 10414\nOAK to YMO: 4254\nYMO to IKT: 12218\nYMO to CZX: 12378\nYMO to EZE: 9877\nIKT to CZX: 2594\nIKT to EZE: 17671\nEZE to CZX: 20127\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 57126,
"style": "rule"
}
|
{
"exact_answer": 57126,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"ISA\", \"id\": 0}, {\"name\": \"ASO\", \"id\": 1}, {\"name\": \"TYS\", \"id\": 2}, {\"name\": \"NBO\", \"id\": 3}, {\"name\": \"OAK\", \"id\": 4}, {\"name\": \"YMO\", \"id\": 5}, {\"name\": \"IKT\", \"id\": 6}, {\"name\": \"EZE\", \"id\": 7}, {\"name\": \"CZX\", \"id\": 8}], \"links\": [{\"weight\": 8999, \"source\": 0, \"target\": 6}, {\"weight\": 12464, \"source\": 0, \"target\": 3}, {\"weight\": 6424, \"source\": 0, \"target\": 8}, {\"weight\": 14650, \"source\": 0, \"target\": 7}, {\"weight\": 16174, \"source\": 0, \"target\": 2}, {\"weight\": 12996, \"source\": 0, \"target\": 4}, {\"weight\": 12866, \"source\": 0, \"target\": 1}, {\"weight\": 16832, \"source\": 0, \"target\": 5}, {\"weight\": 8063, \"source\": 1, \"target\": 6}, {\"weight\": 1639, \"source\": 1, \"target\": 3}, {\"weight\": 9184, \"source\": 1, \"target\": 8}, {\"weight\": 12128, \"source\": 1, \"target\": 7}, {\"weight\": 12713, \"source\": 1, \"target\": 2}, {\"weight\": 14962, \"source\": 1, \"target\": 4}, {\"weight\": 12476, \"source\": 1, \"target\": 5}, {\"weight\": 12349, \"source\": 2, \"target\": 6}, {\"weight\": 13315, \"source\": 2, \"target\": 3}, {\"weight\": 12276, \"source\": 2, \"target\": 8}, {\"weight\": 8285, \"source\": 2, \"target\": 7}, {\"weight\": 3402, \"source\": 2, \"target\": 4}, {\"weight\": 1923, \"source\": 2, \"target\": 5}, {\"weight\": 8626, \"source\": 3, \"target\": 6}, {\"weight\": 9414, \"source\": 3, \"target\": 8}, {\"weight\": 10948, \"source\": 3, \"target\": 7}, {\"weight\": 15566, \"source\": 3, \"target\": 4}, {\"weight\": 12946, \"source\": 3, \"target\": 5}, {\"weight\": 11404, \"source\": 4, \"target\": 6}, {\"weight\": 10409, \"source\": 4, \"target\": 8}, {\"weight\": 10414, \"source\": 4, \"target\": 7}, {\"weight\": 4254, \"source\": 4, \"target\": 5}, {\"weight\": 12218, \"source\": 5, \"target\": 6}, {\"weight\": 12378, \"source\": 5, \"target\": 8}, {\"weight\": 9877, \"source\": 5, \"target\": 7}, {\"weight\": 2594, \"source\": 6, \"target\": 8}, {\"weight\": 17671, \"source\": 6, \"target\": 7}, {\"weight\": 20127, \"source\": 7, \"target\": 8}]}",
"id": 1024,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ISA, ASO, TYS, NBO, OAK, YMO, IKT, EZE, CZX\n- Travel distances (in kilometers) between each pair of airports:\nISA to IKT: 8999\nISA to NBO: 12464\nISA to CZX: 6424\nISA to EZE: 14650\nISA to TYS: 16174\nISA to OAK: 12996\nISA to ASO: 12866\nISA to YMO: 16832\nASO to IKT: 8063\nASO to NBO: 1639\nASO to CZX: 9184\nASO to EZE: 12128\nASO to TYS: 12713\nASO to OAK: 14962\nASO to YMO: 12476\nTYS to IKT: 12349\nTYS to NBO: 13315\nTYS to CZX: 12276\nTYS to EZE: 8285\nTYS to OAK: 3402\nTYS to YMO: 1923\nNBO to IKT: 8626\nNBO to CZX: 9414\nNBO to EZE: 10948\nNBO to OAK: 15566\nNBO to YMO: 12946\nOAK to IKT: 11404\nOAK to CZX: 10409\nOAK to EZE: 10414\nOAK to YMO: 4254\nYMO to IKT: 12218\nYMO to CZX: 12378\nYMO to EZE: 9877\nIKT to CZX: 2594\nIKT to EZE: 17671\nEZE to CZX: 20127\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: VDS, THU, ADE, CGK, KKC, BRC, YIE, BDP, GRR\n- Travel distances (in kilometers) between each pair of airports:\nVDS to CGK: 11729\nVDS to BRC: 15055\nVDS to GRR: 7531\nVDS to KKC: 9897\nVDS to ADE: 7223\nVDS to THU: 5970\nVDS to YIE: 9125\nVDS to BDP: 7888\nTHU to CGK: 15697\nTHU to BRC: 16602\nTHU to GRR: 7849\nTHU to KKC: 13872\nTHU to ADE: 10370\nTHU to YIE: 13107\nTHU to BDP: 11807\nADE to CGK: 7804\nADE to BRC: 13952\nADE to GRR: 12139\nADE to KKC: 6460\nADE to YIE: 8346\nADE to BDP: 4940\nCGK to BRC: 18001\nCGK to GRR: 15997\nCGK to KKC: 2674\nCGK to YIE: 6244\nCGK to BDP: 4697\nKKC to BRC: 19842\nKKC to GRR: 14461\nKKC to YIE: 4515\nKKC to BDP: 2882\nBRC to GRR: 9757\nBRC to YIE: 21283\nBRC to BDP: 18472\nYIE to GRR: 12155\nYIE to BDP: 4115\nBDP to GRR: 13310\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 63393,
"style": "rule"
}
|
{
"exact_answer": 63393,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"VDS\", \"id\": 0}, {\"name\": \"THU\", \"id\": 1}, {\"name\": \"ADE\", \"id\": 2}, {\"name\": \"CGK\", \"id\": 3}, {\"name\": \"KKC\", \"id\": 4}, {\"name\": \"BRC\", \"id\": 5}, {\"name\": \"YIE\", \"id\": 6}, {\"name\": \"BDP\", \"id\": 7}, {\"name\": \"GRR\", \"id\": 8}], \"links\": [{\"weight\": 11729, \"source\": 0, \"target\": 3}, {\"weight\": 15055, \"source\": 0, \"target\": 5}, {\"weight\": 7531, \"source\": 0, \"target\": 8}, {\"weight\": 9897, \"source\": 0, \"target\": 4}, {\"weight\": 7223, \"source\": 0, \"target\": 2}, {\"weight\": 5970, \"source\": 0, \"target\": 1}, {\"weight\": 9125, \"source\": 0, \"target\": 6}, {\"weight\": 7888, \"source\": 0, \"target\": 7}, {\"weight\": 15697, \"source\": 1, \"target\": 3}, {\"weight\": 16602, \"source\": 1, \"target\": 5}, {\"weight\": 7849, \"source\": 1, \"target\": 8}, {\"weight\": 13872, \"source\": 1, \"target\": 4}, {\"weight\": 10370, \"source\": 1, \"target\": 2}, {\"weight\": 13107, \"source\": 1, \"target\": 6}, {\"weight\": 11807, \"source\": 1, \"target\": 7}, {\"weight\": 7804, \"source\": 2, \"target\": 3}, {\"weight\": 13952, \"source\": 2, \"target\": 5}, {\"weight\": 12139, \"source\": 2, \"target\": 8}, {\"weight\": 6460, \"source\": 2, \"target\": 4}, {\"weight\": 8346, \"source\": 2, \"target\": 6}, {\"weight\": 4940, \"source\": 2, \"target\": 7}, {\"weight\": 18001, \"source\": 3, \"target\": 5}, {\"weight\": 15997, \"source\": 3, \"target\": 8}, {\"weight\": 2674, \"source\": 3, \"target\": 4}, {\"weight\": 6244, \"source\": 3, \"target\": 6}, {\"weight\": 4697, \"source\": 3, \"target\": 7}, {\"weight\": 19842, \"source\": 4, \"target\": 5}, {\"weight\": 14461, \"source\": 4, \"target\": 8}, {\"weight\": 4515, \"source\": 4, \"target\": 6}, {\"weight\": 2882, \"source\": 4, \"target\": 7}, {\"weight\": 9757, \"source\": 5, \"target\": 8}, {\"weight\": 21283, \"source\": 5, \"target\": 6}, {\"weight\": 18472, \"source\": 5, \"target\": 7}, {\"weight\": 12155, \"source\": 6, \"target\": 8}, {\"weight\": 4115, \"source\": 6, \"target\": 7}, {\"weight\": 13310, \"source\": 7, \"target\": 8}]}",
"id": 1025,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: VDS, THU, ADE, CGK, KKC, BRC, YIE, BDP, GRR\n- Travel distances (in kilometers) between each pair of airports:\nVDS to CGK: 11729\nVDS to BRC: 15055\nVDS to GRR: 7531\nVDS to KKC: 9897\nVDS to ADE: 7223\nVDS to THU: 5970\nVDS to YIE: 9125\nVDS to BDP: 7888\nTHU to CGK: 15697\nTHU to BRC: 16602\nTHU to GRR: 7849\nTHU to KKC: 13872\nTHU to ADE: 10370\nTHU to YIE: 13107\nTHU to BDP: 11807\nADE to CGK: 7804\nADE to BRC: 13952\nADE to GRR: 12139\nADE to KKC: 6460\nADE to YIE: 8346\nADE to BDP: 4940\nCGK to BRC: 18001\nCGK to GRR: 15997\nCGK to KKC: 2674\nCGK to YIE: 6244\nCGK to BDP: 4697\nKKC to BRC: 19842\nKKC to GRR: 14461\nKKC to YIE: 4515\nKKC to BDP: 2882\nBRC to GRR: 9757\nBRC to YIE: 21283\nBRC to BDP: 18472\nYIE to GRR: 12155\nYIE to BDP: 4115\nBDP to GRR: 13310\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, KSN, YCD, COS, KCM, OLA, SXX, CJL, MMJ\n- Travel distances (in kilometers) between each pair of airports:\nRCY to COS: 3348\nRCY to YCD: 5169\nRCY to KSN: 11273\nRCY to MMJ: 14066\nRCY to OLA: 8371\nRCY to KCM: 10579\nRCY to CJL: 13393\nRCY to SXX: 5426\nKSN to COS: 10921\nKSN to YCD: 10860\nKSN to MMJ: 6923\nKSN to OLA: 3768\nKSN to KCM: 3905\nKSN to CJL: 3224\nKSN to SXX: 12868\nYCD to COS: 1958\nYCD to MMJ: 9144\nYCD to OLA: 7958\nYCD to KCM: 10717\nYCD to CJL: 12718\nYCD to SXX: 9928\nCOS to MMJ: 10959\nCOS to OLA: 8019\nCOS to KCM: 10778\nCOS to CJL: 13041\nCOS to SXX: 8107\nKCM to MMJ: 9570\nKCM to OLA: 3641\nKCM to CJL: 4116\nKCM to SXX: 11047\nOLA to MMJ: 9494\nOLA to CJL: 5914\nOLA to SXX: 10457\nSXX to MMJ: 18538\nSXX to CJL: 14270\nCJL to MMJ: 6350\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 47453,
"style": "rule"
}
|
{
"exact_answer": 47453,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"RCY\", \"id\": 0}, {\"name\": \"KSN\", \"id\": 1}, {\"name\": \"YCD\", \"id\": 2}, {\"name\": \"COS\", \"id\": 3}, {\"name\": \"KCM\", \"id\": 4}, {\"name\": \"OLA\", \"id\": 5}, {\"name\": \"SXX\", \"id\": 6}, {\"name\": \"CJL\", \"id\": 7}, {\"name\": \"MMJ\", \"id\": 8}], \"links\": [{\"weight\": 3348, \"source\": 0, \"target\": 3}, {\"weight\": 5169, \"source\": 0, \"target\": 2}, {\"weight\": 11273, \"source\": 0, \"target\": 1}, {\"weight\": 14066, \"source\": 0, \"target\": 8}, {\"weight\": 8371, \"source\": 0, \"target\": 5}, {\"weight\": 10579, \"source\": 0, \"target\": 4}, {\"weight\": 13393, \"source\": 0, \"target\": 7}, {\"weight\": 5426, \"source\": 0, \"target\": 6}, {\"weight\": 10921, \"source\": 1, \"target\": 3}, {\"weight\": 10860, \"source\": 1, \"target\": 2}, {\"weight\": 6923, \"source\": 1, \"target\": 8}, {\"weight\": 3768, \"source\": 1, \"target\": 5}, {\"weight\": 3905, \"source\": 1, \"target\": 4}, {\"weight\": 3224, \"source\": 1, \"target\": 7}, {\"weight\": 12868, \"source\": 1, \"target\": 6}, {\"weight\": 1958, \"source\": 2, \"target\": 3}, {\"weight\": 9144, \"source\": 2, \"target\": 8}, {\"weight\": 7958, \"source\": 2, \"target\": 5}, {\"weight\": 10717, \"source\": 2, \"target\": 4}, {\"weight\": 12718, \"source\": 2, \"target\": 7}, {\"weight\": 9928, \"source\": 2, \"target\": 6}, {\"weight\": 10959, \"source\": 3, \"target\": 8}, {\"weight\": 8019, \"source\": 3, \"target\": 5}, {\"weight\": 10778, \"source\": 3, \"target\": 4}, {\"weight\": 13041, \"source\": 3, \"target\": 7}, {\"weight\": 8107, \"source\": 3, \"target\": 6}, {\"weight\": 9570, \"source\": 4, \"target\": 8}, {\"weight\": 3641, \"source\": 4, \"target\": 5}, {\"weight\": 4116, \"source\": 4, \"target\": 7}, {\"weight\": 11047, \"source\": 4, \"target\": 6}, {\"weight\": 9494, \"source\": 5, \"target\": 8}, {\"weight\": 5914, \"source\": 5, \"target\": 7}, {\"weight\": 10457, \"source\": 5, \"target\": 6}, {\"weight\": 18538, \"source\": 6, \"target\": 8}, {\"weight\": 14270, \"source\": 6, \"target\": 7}, {\"weight\": 6350, \"source\": 7, \"target\": 8}]}",
"id": 1026,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, KSN, YCD, COS, KCM, OLA, SXX, CJL, MMJ\n- Travel distances (in kilometers) between each pair of airports:\nRCY to COS: 3348\nRCY to YCD: 5169\nRCY to KSN: 11273\nRCY to MMJ: 14066\nRCY to OLA: 8371\nRCY to KCM: 10579\nRCY to CJL: 13393\nRCY to SXX: 5426\nKSN to COS: 10921\nKSN to YCD: 10860\nKSN to MMJ: 6923\nKSN to OLA: 3768\nKSN to KCM: 3905\nKSN to CJL: 3224\nKSN to SXX: 12868\nYCD to COS: 1958\nYCD to MMJ: 9144\nYCD to OLA: 7958\nYCD to KCM: 10717\nYCD to CJL: 12718\nYCD to SXX: 9928\nCOS to MMJ: 10959\nCOS to OLA: 8019\nCOS to KCM: 10778\nCOS to CJL: 13041\nCOS to SXX: 8107\nKCM to MMJ: 9570\nKCM to OLA: 3641\nKCM to CJL: 4116\nKCM to SXX: 11047\nOLA to MMJ: 9494\nOLA to CJL: 5914\nOLA to SXX: 10457\nSXX to MMJ: 18538\nSXX to CJL: 14270\nCJL to MMJ: 6350\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, AAL, TOB, LYP, IPC, KTG, RAH, RMF, IGA\n- Travel distances (in kilometers) between each pair of airports:\nTAM to RMF: 12763\nTAM to TOB: 11547\nTAM to AAL: 9027\nTAM to LYP: 15539\nTAM to KTG: 16460\nTAM to IPC: 10688\nTAM to RAH: 14188\nTAM to IGA: 2799\nAAL to RMF: 4030\nAAL to TOB: 3633\nAAL to LYP: 6768\nAAL to KTG: 11072\nAAL to IPC: 16445\nAAL to RAH: 5277\nAAL to IGA: 8391\nTOB to RMF: 1340\nTOB to LYP: 5241\nTOB to KTG: 9895\nTOB to IPC: 16848\nTOB to RAH: 2961\nTOB to IGA: 10630\nLYP to RMF: 5100\nLYP to KTG: 6722\nLYP to IPC: 20666\nLYP to RAH: 3584\nLYP to IGA: 14828\nIPC to RMF: 17252\nIPC to KTG: 15868\nIPC to RAH: 18378\nIPC to IGA: 10942\nKTG to RMF: 9755\nKTG to RAH: 8206\nKTG to IGA: 18095\nRAH to RMF: 2813\nRAH to IGA: 13120\nRMF to IGA: 11697\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 55838,
"style": "rule"
}
|
{
"exact_answer": 55838,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"TAM\", \"id\": 0}, {\"name\": \"AAL\", \"id\": 1}, {\"name\": \"TOB\", \"id\": 2}, {\"name\": \"LYP\", \"id\": 3}, {\"name\": \"IPC\", \"id\": 4}, {\"name\": \"KTG\", \"id\": 5}, {\"name\": \"RAH\", \"id\": 6}, {\"name\": \"RMF\", \"id\": 7}, {\"name\": \"IGA\", \"id\": 8}], \"links\": [{\"weight\": 12763, \"source\": 0, \"target\": 7}, {\"weight\": 11547, \"source\": 0, \"target\": 2}, {\"weight\": 9027, \"source\": 0, \"target\": 1}, {\"weight\": 15539, \"source\": 0, \"target\": 3}, {\"weight\": 16460, \"source\": 0, \"target\": 5}, {\"weight\": 10688, \"source\": 0, \"target\": 4}, {\"weight\": 14188, \"source\": 0, \"target\": 6}, {\"weight\": 2799, \"source\": 0, \"target\": 8}, {\"weight\": 4030, \"source\": 1, \"target\": 7}, {\"weight\": 3633, \"source\": 1, \"target\": 2}, {\"weight\": 6768, \"source\": 1, \"target\": 3}, {\"weight\": 11072, \"source\": 1, \"target\": 5}, {\"weight\": 16445, \"source\": 1, \"target\": 4}, {\"weight\": 5277, \"source\": 1, \"target\": 6}, {\"weight\": 8391, \"source\": 1, \"target\": 8}, {\"weight\": 1340, \"source\": 2, \"target\": 7}, {\"weight\": 5241, \"source\": 2, \"target\": 3}, {\"weight\": 9895, \"source\": 2, \"target\": 5}, {\"weight\": 16848, \"source\": 2, \"target\": 4}, {\"weight\": 2961, \"source\": 2, \"target\": 6}, {\"weight\": 10630, \"source\": 2, \"target\": 8}, {\"weight\": 5100, \"source\": 3, \"target\": 7}, {\"weight\": 6722, \"source\": 3, \"target\": 5}, {\"weight\": 20666, \"source\": 3, \"target\": 4}, {\"weight\": 3584, \"source\": 3, \"target\": 6}, {\"weight\": 14828, \"source\": 3, \"target\": 8}, {\"weight\": 17252, \"source\": 4, \"target\": 7}, {\"weight\": 15868, \"source\": 4, \"target\": 5}, {\"weight\": 18378, \"source\": 4, \"target\": 6}, {\"weight\": 10942, \"source\": 4, \"target\": 8}, {\"weight\": 9755, \"source\": 5, \"target\": 7}, {\"weight\": 8206, \"source\": 5, \"target\": 6}, {\"weight\": 18095, \"source\": 5, \"target\": 8}, {\"weight\": 2813, \"source\": 6, \"target\": 7}, {\"weight\": 13120, \"source\": 6, \"target\": 8}, {\"weight\": 11697, \"source\": 7, \"target\": 8}]}",
"id": 1027,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, AAL, TOB, LYP, IPC, KTG, RAH, RMF, IGA\n- Travel distances (in kilometers) between each pair of airports:\nTAM to RMF: 12763\nTAM to TOB: 11547\nTAM to AAL: 9027\nTAM to LYP: 15539\nTAM to KTG: 16460\nTAM to IPC: 10688\nTAM to RAH: 14188\nTAM to IGA: 2799\nAAL to RMF: 4030\nAAL to TOB: 3633\nAAL to LYP: 6768\nAAL to KTG: 11072\nAAL to IPC: 16445\nAAL to RAH: 5277\nAAL to IGA: 8391\nTOB to RMF: 1340\nTOB to LYP: 5241\nTOB to KTG: 9895\nTOB to IPC: 16848\nTOB to RAH: 2961\nTOB to IGA: 10630\nLYP to RMF: 5100\nLYP to KTG: 6722\nLYP to IPC: 20666\nLYP to RAH: 3584\nLYP to IGA: 14828\nIPC to RMF: 17252\nIPC to KTG: 15868\nIPC to RAH: 18378\nIPC to IGA: 10942\nKTG to RMF: 9755\nKTG to RAH: 8206\nKTG to IGA: 18095\nRAH to RMF: 2813\nRAH to IGA: 13120\nRMF to IGA: 11697\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, PPK, FAO, ISB, NKG, AOI, IDR, HKB, AFZ\n- Travel distances (in kilometers) between each pair of airports:\nATY to NKG: 11753\nATY to ISB: 12383\nATY to AOI: 8156\nATY to FAO: 7288\nATY to IDR: 13529\nATY to PPK: 13309\nATY to AFZ: 11816\nATY to HKB: 4886\nPPK to NKG: 5277\nPPK to ISB: 3078\nPPK to AOI: 6862\nPPK to FAO: 8356\nPPK to IDR: 3697\nPPK to AFZ: 4431\nPPK to HKB: 15919\nFAO to NKG: 10594\nFAO to ISB: 7160\nFAO to AOI: 2077\nFAO to IDR: 8426\nFAO to AFZ: 5823\nFAO to HKB: 11556\nISB to NKG: 4732\nISB to AOI: 5545\nISB to IDR: 1345\nISB to AFZ: 2576\nISB to HKB: 15153\nNKG to AOI: 9209\nNKG to IDR: 4565\nNKG to AFZ: 6878\nNKG to HKB: 11892\nAOI to IDR: 6817\nAOI to AFZ: 4221\nAOI to HKB: 11581\nIDR to AFZ: 3849\nIDR to HKB: 15728\nHKB to AFZ: 15125\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 43259,
"style": "rule"
}
|
{
"exact_answer": 43259,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"ATY\", \"id\": 0}, {\"name\": \"PPK\", \"id\": 1}, {\"name\": \"FAO\", \"id\": 2}, {\"name\": \"ISB\", \"id\": 3}, {\"name\": \"NKG\", \"id\": 4}, {\"name\": \"AOI\", \"id\": 5}, {\"name\": \"IDR\", \"id\": 6}, {\"name\": \"HKB\", \"id\": 7}, {\"name\": \"AFZ\", \"id\": 8}], \"links\": [{\"weight\": 11753, \"source\": 0, \"target\": 4}, {\"weight\": 12383, \"source\": 0, \"target\": 3}, {\"weight\": 8156, \"source\": 0, \"target\": 5}, {\"weight\": 7288, \"source\": 0, \"target\": 2}, {\"weight\": 13529, \"source\": 0, \"target\": 6}, {\"weight\": 13309, \"source\": 0, \"target\": 1}, {\"weight\": 11816, \"source\": 0, \"target\": 8}, {\"weight\": 4886, \"source\": 0, \"target\": 7}, {\"weight\": 5277, \"source\": 1, \"target\": 4}, {\"weight\": 3078, \"source\": 1, \"target\": 3}, {\"weight\": 6862, \"source\": 1, \"target\": 5}, {\"weight\": 8356, \"source\": 1, \"target\": 2}, {\"weight\": 3697, \"source\": 1, \"target\": 6}, {\"weight\": 4431, \"source\": 1, \"target\": 8}, {\"weight\": 15919, \"source\": 1, \"target\": 7}, {\"weight\": 10594, \"source\": 2, \"target\": 4}, {\"weight\": 7160, \"source\": 2, \"target\": 3}, {\"weight\": 2077, \"source\": 2, \"target\": 5}, {\"weight\": 8426, \"source\": 2, \"target\": 6}, {\"weight\": 5823, \"source\": 2, \"target\": 8}, {\"weight\": 11556, \"source\": 2, \"target\": 7}, {\"weight\": 4732, \"source\": 3, \"target\": 4}, {\"weight\": 5545, \"source\": 3, \"target\": 5}, {\"weight\": 1345, \"source\": 3, \"target\": 6}, {\"weight\": 2576, \"source\": 3, \"target\": 8}, {\"weight\": 15153, \"source\": 3, \"target\": 7}, {\"weight\": 9209, \"source\": 4, \"target\": 5}, {\"weight\": 4565, \"source\": 4, \"target\": 6}, {\"weight\": 6878, \"source\": 4, \"target\": 8}, {\"weight\": 11892, \"source\": 4, \"target\": 7}, {\"weight\": 6817, \"source\": 5, \"target\": 6}, {\"weight\": 4221, \"source\": 5, \"target\": 8}, {\"weight\": 11581, \"source\": 5, \"target\": 7}, {\"weight\": 3849, \"source\": 6, \"target\": 8}, {\"weight\": 15728, \"source\": 6, \"target\": 7}, {\"weight\": 15125, \"source\": 7, \"target\": 8}]}",
"id": 1028,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, PPK, FAO, ISB, NKG, AOI, IDR, HKB, AFZ\n- Travel distances (in kilometers) between each pair of airports:\nATY to NKG: 11753\nATY to ISB: 12383\nATY to AOI: 8156\nATY to FAO: 7288\nATY to IDR: 13529\nATY to PPK: 13309\nATY to AFZ: 11816\nATY to HKB: 4886\nPPK to NKG: 5277\nPPK to ISB: 3078\nPPK to AOI: 6862\nPPK to FAO: 8356\nPPK to IDR: 3697\nPPK to AFZ: 4431\nPPK to HKB: 15919\nFAO to NKG: 10594\nFAO to ISB: 7160\nFAO to AOI: 2077\nFAO to IDR: 8426\nFAO to AFZ: 5823\nFAO to HKB: 11556\nISB to NKG: 4732\nISB to AOI: 5545\nISB to IDR: 1345\nISB to AFZ: 2576\nISB to HKB: 15153\nNKG to AOI: 9209\nNKG to IDR: 4565\nNKG to AFZ: 6878\nNKG to HKB: 11892\nAOI to IDR: 6817\nAOI to AFZ: 4221\nAOI to HKB: 11581\nIDR to AFZ: 3849\nIDR to HKB: 15728\nHKB to AFZ: 15125\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: RHO, LMN, SVR, KHI, DBQ, SOF, RBY, PHC, PKR\n- Travel distances (in kilometers) between each pair of airports:\nRHO to RBY: 13174\nRHO to SOF: 934\nRHO to DBQ: 9380\nRHO to PHC: 5390\nRHO to KHI: 4569\nRHO to SVR: 7434\nRHO to LMN: 10343\nRHO to PKR: 6221\nLMN to RBY: 15021\nLMN to SOF: 10139\nLMN to DBQ: 14829\nLMN to PHC: 12698\nLMN to KHI: 5879\nLMN to SVR: 15757\nLMN to PKR: 4527\nSVR to RBY: 11887\nSVR to SOF: 6627\nSVR to DBQ: 8360\nSVR to PHC: 10368\nSVR to KHI: 10581\nSVR to PKR: 11768\nKHI to RBY: 15935\nKHI to SOF: 4441\nKHI to DBQ: 12605\nKHI to PHC: 7010\nKHI to PKR: 1985\nDBQ to RBY: 5581\nDBQ to SOF: 8598\nDBQ to PHC: 10303\nDBQ to PKR: 13216\nSOF to RBY: 12368\nSOF to PHC: 5034\nSOF to PKR: 5926\nRBY to PHC: 15352\nRBY to PKR: 14840\nPHC to PKR: 8968\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 55435,
"style": "rule"
}
|
{
"exact_answer": 55435,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"RHO\", \"id\": 0}, {\"name\": \"LMN\", \"id\": 1}, {\"name\": \"SVR\", \"id\": 2}, {\"name\": \"KHI\", \"id\": 3}, {\"name\": \"DBQ\", \"id\": 4}, {\"name\": \"SOF\", \"id\": 5}, {\"name\": \"RBY\", \"id\": 6}, {\"name\": \"PHC\", \"id\": 7}, {\"name\": \"PKR\", \"id\": 8}], \"links\": [{\"weight\": 13174, \"source\": 0, \"target\": 6}, {\"weight\": 934, \"source\": 0, \"target\": 5}, {\"weight\": 9380, \"source\": 0, \"target\": 4}, {\"weight\": 5390, \"source\": 0, \"target\": 7}, {\"weight\": 4569, \"source\": 0, \"target\": 3}, {\"weight\": 7434, \"source\": 0, \"target\": 2}, {\"weight\": 10343, \"source\": 0, \"target\": 1}, {\"weight\": 6221, \"source\": 0, \"target\": 8}, {\"weight\": 15021, \"source\": 1, \"target\": 6}, {\"weight\": 10139, \"source\": 1, \"target\": 5}, {\"weight\": 14829, \"source\": 1, \"target\": 4}, {\"weight\": 12698, \"source\": 1, \"target\": 7}, {\"weight\": 5879, \"source\": 1, \"target\": 3}, {\"weight\": 15757, \"source\": 1, \"target\": 2}, {\"weight\": 4527, \"source\": 1, \"target\": 8}, {\"weight\": 11887, \"source\": 2, \"target\": 6}, {\"weight\": 6627, \"source\": 2, \"target\": 5}, {\"weight\": 8360, \"source\": 2, \"target\": 4}, {\"weight\": 10368, \"source\": 2, \"target\": 7}, {\"weight\": 10581, \"source\": 2, \"target\": 3}, {\"weight\": 11768, \"source\": 2, \"target\": 8}, {\"weight\": 15935, \"source\": 3, \"target\": 6}, {\"weight\": 4441, \"source\": 3, \"target\": 5}, {\"weight\": 12605, \"source\": 3, \"target\": 4}, {\"weight\": 7010, \"source\": 3, \"target\": 7}, {\"weight\": 1985, \"source\": 3, \"target\": 8}, {\"weight\": 5581, \"source\": 4, \"target\": 6}, {\"weight\": 8598, \"source\": 4, \"target\": 5}, {\"weight\": 10303, \"source\": 4, \"target\": 7}, {\"weight\": 13216, \"source\": 4, \"target\": 8}, {\"weight\": 12368, \"source\": 5, \"target\": 6}, {\"weight\": 5034, \"source\": 5, \"target\": 7}, {\"weight\": 5926, \"source\": 5, \"target\": 8}, {\"weight\": 15352, \"source\": 6, \"target\": 7}, {\"weight\": 14840, \"source\": 6, \"target\": 8}, {\"weight\": 8968, \"source\": 7, \"target\": 8}]}",
"id": 1029,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: RHO, LMN, SVR, KHI, DBQ, SOF, RBY, PHC, PKR\n- Travel distances (in kilometers) between each pair of airports:\nRHO to RBY: 13174\nRHO to SOF: 934\nRHO to DBQ: 9380\nRHO to PHC: 5390\nRHO to KHI: 4569\nRHO to SVR: 7434\nRHO to LMN: 10343\nRHO to PKR: 6221\nLMN to RBY: 15021\nLMN to SOF: 10139\nLMN to DBQ: 14829\nLMN to PHC: 12698\nLMN to KHI: 5879\nLMN to SVR: 15757\nLMN to PKR: 4527\nSVR to RBY: 11887\nSVR to SOF: 6627\nSVR to DBQ: 8360\nSVR to PHC: 10368\nSVR to KHI: 10581\nSVR to PKR: 11768\nKHI to RBY: 15935\nKHI to SOF: 4441\nKHI to DBQ: 12605\nKHI to PHC: 7010\nKHI to PKR: 1985\nDBQ to RBY: 5581\nDBQ to SOF: 8598\nDBQ to PHC: 10303\nDBQ to PKR: 13216\nSOF to RBY: 12368\nSOF to PHC: 5034\nSOF to PKR: 5926\nRBY to PHC: 15352\nRBY to PKR: 14840\nPHC to PKR: 8968\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, STN, JJA, KEW, ISG, PIH, UTP, GPS, TNW\n- Travel distances (in kilometers) between each pair of airports:\nSPU to STN: 1519\nSPU to ISG: 9784\nSPU to PIH: 9610\nSPU to GPS: 11895\nSPU to TNW: 10604\nSPU to JJA: 15792\nSPU to UTP: 9490\nSPU to KEW: 8790\nSTN to ISG: 10063\nSTN to PIH: 8413\nSTN to GPS: 11145\nSTN to TNW: 9854\nSTN to JJA: 16219\nSTN to UTP: 10346\nSTN to KEW: 7286\nJJA to ISG: 6983\nJJA to PIH: 12337\nJJA to GPS: 18058\nJJA to TNW: 16915\nJJA to UTP: 7875\nJJA to KEW: 14076\nKEW to ISG: 11650\nKEW to PIH: 2626\nKEW to GPS: 7782\nKEW to TNW: 6536\nKEW to UTP: 14996\nISG to PIH: 11005\nISG to GPS: 17658\nISG to TNW: 16527\nISG to UTP: 3525\nPIH to GPS: 7289\nPIH to TNW: 6101\nPIH to UTP: 14157\nUTP to GPS: 20825\nUTP to TNW: 19630\nGPS to TNW: 1584\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 55700,
"style": "rule"
}
|
{
"exact_answer": 55700,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"SPU\", \"id\": 0}, {\"name\": \"STN\", \"id\": 1}, {\"name\": \"JJA\", \"id\": 2}, {\"name\": \"KEW\", \"id\": 3}, {\"name\": \"ISG\", \"id\": 4}, {\"name\": \"PIH\", \"id\": 5}, {\"name\": \"UTP\", \"id\": 6}, {\"name\": \"GPS\", \"id\": 7}, {\"name\": \"TNW\", \"id\": 8}], \"links\": [{\"weight\": 1519, \"source\": 0, \"target\": 1}, {\"weight\": 9784, \"source\": 0, \"target\": 4}, {\"weight\": 9610, \"source\": 0, \"target\": 5}, {\"weight\": 11895, \"source\": 0, \"target\": 7}, {\"weight\": 10604, \"source\": 0, \"target\": 8}, {\"weight\": 15792, \"source\": 0, \"target\": 2}, {\"weight\": 9490, \"source\": 0, \"target\": 6}, {\"weight\": 8790, \"source\": 0, \"target\": 3}, {\"weight\": 10063, \"source\": 1, \"target\": 4}, {\"weight\": 8413, \"source\": 1, \"target\": 5}, {\"weight\": 11145, \"source\": 1, \"target\": 7}, {\"weight\": 9854, \"source\": 1, \"target\": 8}, {\"weight\": 16219, \"source\": 1, \"target\": 2}, {\"weight\": 10346, \"source\": 1, \"target\": 6}, {\"weight\": 7286, \"source\": 1, \"target\": 3}, {\"weight\": 6983, \"source\": 2, \"target\": 4}, {\"weight\": 12337, \"source\": 2, \"target\": 5}, {\"weight\": 18058, \"source\": 2, \"target\": 7}, {\"weight\": 16915, \"source\": 2, \"target\": 8}, {\"weight\": 7875, \"source\": 2, \"target\": 6}, {\"weight\": 14076, \"source\": 2, \"target\": 3}, {\"weight\": 11650, \"source\": 3, \"target\": 4}, {\"weight\": 2626, \"source\": 3, \"target\": 5}, {\"weight\": 7782, \"source\": 3, \"target\": 7}, {\"weight\": 6536, \"source\": 3, \"target\": 8}, {\"weight\": 14996, \"source\": 3, \"target\": 6}, {\"weight\": 11005, \"source\": 4, \"target\": 5}, {\"weight\": 17658, \"source\": 4, \"target\": 7}, {\"weight\": 16527, \"source\": 4, \"target\": 8}, {\"weight\": 3525, \"source\": 4, \"target\": 6}, {\"weight\": 7289, \"source\": 5, \"target\": 7}, {\"weight\": 6101, \"source\": 5, \"target\": 8}, {\"weight\": 14157, \"source\": 5, \"target\": 6}, {\"weight\": 20825, \"source\": 6, \"target\": 7}, {\"weight\": 19630, \"source\": 6, \"target\": 8}, {\"weight\": 1584, \"source\": 7, \"target\": 8}]}",
"id": 1030,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, STN, JJA, KEW, ISG, PIH, UTP, GPS, TNW\n- Travel distances (in kilometers) between each pair of airports:\nSPU to STN: 1519\nSPU to ISG: 9784\nSPU to PIH: 9610\nSPU to GPS: 11895\nSPU to TNW: 10604\nSPU to JJA: 15792\nSPU to UTP: 9490\nSPU to KEW: 8790\nSTN to ISG: 10063\nSTN to PIH: 8413\nSTN to GPS: 11145\nSTN to TNW: 9854\nSTN to JJA: 16219\nSTN to UTP: 10346\nSTN to KEW: 7286\nJJA to ISG: 6983\nJJA to PIH: 12337\nJJA to GPS: 18058\nJJA to TNW: 16915\nJJA to UTP: 7875\nJJA to KEW: 14076\nKEW to ISG: 11650\nKEW to PIH: 2626\nKEW to GPS: 7782\nKEW to TNW: 6536\nKEW to UTP: 14996\nISG to PIH: 11005\nISG to GPS: 17658\nISG to TNW: 16527\nISG to UTP: 3525\nPIH to GPS: 7289\nPIH to TNW: 6101\nPIH to UTP: 14157\nUTP to GPS: 20825\nUTP to TNW: 19630\nGPS to TNW: 1584\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LPD, CLO, TQA, ANI, ORY, GIG, TNR, ANR, CRK\n- Travel distances (in kilometers) between each pair of airports:\nLPD to CLO: 1694\nLPD to GIG: 5954\nLPD to CRK: 18833\nLPD to ANI: 10752\nLPD to ORY: 10049\nLPD to ANR: 10643\nLPD to TNR: 15323\nLPD to TQA: 12013\nCLO to GIG: 4820\nCLO to CRK: 17438\nCLO to ANI: 9313\nCLO to ORY: 8912\nCLO to ANR: 9509\nCLO to TNR: 14189\nCLO to TQA: 10758\nTQA to GIG: 13433\nTQA to CRK: 13769\nTQA to ANI: 11106\nTQA to ORY: 4721\nTQA to ANR: 4682\nTQA to TNR: 13143\nANI to GIG: 13618\nANI to CRK: 13752\nANI to ORY: 10903\nANI to ANR: 10868\nANI to TNR: 19589\nORY to TNR: 8733\nORY to GIG: 9152\nORY to CRK: 10672\nORY to ANR: 657\nGIG to CRK: 18316\nGIG to ANR: 9633\nGIG to TNR: 9910\nTNR to CRK: 9001\nTNR to ANR: 9390\nANR to CRK: 10972\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 62989,
"style": "rule"
}
|
{
"exact_answer": 62989,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"LPD\", \"id\": 0}, {\"name\": \"CLO\", \"id\": 1}, {\"name\": \"TQA\", \"id\": 2}, {\"name\": \"ANI\", \"id\": 3}, {\"name\": \"ORY\", \"id\": 4}, {\"name\": \"GIG\", \"id\": 5}, {\"name\": \"TNR\", \"id\": 6}, {\"name\": \"ANR\", \"id\": 7}, {\"name\": \"CRK\", \"id\": 8}], \"links\": [{\"weight\": 1694, \"source\": 0, \"target\": 1}, {\"weight\": 5954, \"source\": 0, \"target\": 5}, {\"weight\": 18833, \"source\": 0, \"target\": 8}, {\"weight\": 10752, \"source\": 0, \"target\": 3}, {\"weight\": 10049, \"source\": 0, \"target\": 4}, {\"weight\": 10643, \"source\": 0, \"target\": 7}, {\"weight\": 15323, \"source\": 0, \"target\": 6}, {\"weight\": 12013, \"source\": 0, \"target\": 2}, {\"weight\": 4820, \"source\": 1, \"target\": 5}, {\"weight\": 17438, \"source\": 1, \"target\": 8}, {\"weight\": 9313, \"source\": 1, \"target\": 3}, {\"weight\": 8912, \"source\": 1, \"target\": 4}, {\"weight\": 9509, \"source\": 1, \"target\": 7}, {\"weight\": 14189, \"source\": 1, \"target\": 6}, {\"weight\": 10758, \"source\": 1, \"target\": 2}, {\"weight\": 13433, \"source\": 2, \"target\": 5}, {\"weight\": 13769, \"source\": 2, \"target\": 8}, {\"weight\": 11106, \"source\": 2, \"target\": 3}, {\"weight\": 4721, \"source\": 2, \"target\": 4}, {\"weight\": 4682, \"source\": 2, \"target\": 7}, {\"weight\": 13143, \"source\": 2, \"target\": 6}, {\"weight\": 13618, \"source\": 3, \"target\": 5}, {\"weight\": 13752, \"source\": 3, \"target\": 8}, {\"weight\": 10903, \"source\": 3, \"target\": 4}, {\"weight\": 10868, \"source\": 3, \"target\": 7}, {\"weight\": 19589, \"source\": 3, \"target\": 6}, {\"weight\": 8733, \"source\": 4, \"target\": 6}, {\"weight\": 9152, \"source\": 4, \"target\": 5}, {\"weight\": 10672, \"source\": 4, \"target\": 8}, {\"weight\": 657, \"source\": 4, \"target\": 7}, {\"weight\": 18316, \"source\": 5, \"target\": 8}, {\"weight\": 9633, \"source\": 5, \"target\": 7}, {\"weight\": 9910, \"source\": 5, \"target\": 6}, {\"weight\": 9001, \"source\": 6, \"target\": 8}, {\"weight\": 9390, \"source\": 6, \"target\": 7}, {\"weight\": 10972, \"source\": 7, \"target\": 8}]}",
"id": 1031,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LPD, CLO, TQA, ANI, ORY, GIG, TNR, ANR, CRK\n- Travel distances (in kilometers) between each pair of airports:\nLPD to CLO: 1694\nLPD to GIG: 5954\nLPD to CRK: 18833\nLPD to ANI: 10752\nLPD to ORY: 10049\nLPD to ANR: 10643\nLPD to TNR: 15323\nLPD to TQA: 12013\nCLO to GIG: 4820\nCLO to CRK: 17438\nCLO to ANI: 9313\nCLO to ORY: 8912\nCLO to ANR: 9509\nCLO to TNR: 14189\nCLO to TQA: 10758\nTQA to GIG: 13433\nTQA to CRK: 13769\nTQA to ANI: 11106\nTQA to ORY: 4721\nTQA to ANR: 4682\nTQA to TNR: 13143\nANI to GIG: 13618\nANI to CRK: 13752\nANI to ORY: 10903\nANI to ANR: 10868\nANI to TNR: 19589\nORY to TNR: 8733\nORY to GIG: 9152\nORY to CRK: 10672\nORY to ANR: 657\nGIG to CRK: 18316\nGIG to ANR: 9633\nGIG to TNR: 9910\nTNR to CRK: 9001\nTNR to ANR: 9390\nANR to CRK: 10972\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PNS, YYH, DLU, BRC, KSJ, MSZ, DSM, AUY, TXK\n- Travel distances (in kilometers) between each pair of airports:\nPNS to YYH: 5729\nPNS to DLU: 14051\nPNS to BRC: 8609\nPNS to KSJ: 10007\nPNS to DSM: 1632\nPNS to TXK: 1259\nPNS to MSZ: 12902\nPNS to AUY: 13131\nYYH to DLU: 13747\nYYH to BRC: 13869\nYYH to KSJ: 11782\nYYH to DSM: 4353\nYYH to TXK: 5149\nYYH to MSZ: 15932\nYYH to AUY: 13793\nDLU to BRC: 20184\nDLU to KSJ: 8245\nDLU to DSM: 13250\nDLU to TXK: 13810\nDLU to MSZ: 11402\nDLU to AUY: 9498\nBRC to KSJ: 13920\nBRC to DSM: 9926\nBRC to TXK: 9300\nBRC to MSZ: 10224\nBRC to AUY: 13356\nKSJ to DSM: 9653\nKSJ to TXK: 10763\nKSJ to MSZ: 7457\nKSJ to AUY: 17055\nMSZ to DSM: 12987\nMSZ to TXK: 13917\nMSZ to AUY: 17039\nDSM to TXK: 1295\nDSM to AUY: 12510\nAUY to TXK: 12452\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 64733,
"style": "rule"
}
|
{
"exact_answer": 64733,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"PNS\", \"id\": 0}, {\"name\": \"YYH\", \"id\": 1}, {\"name\": \"DLU\", \"id\": 2}, {\"name\": \"BRC\", \"id\": 3}, {\"name\": \"KSJ\", \"id\": 4}, {\"name\": \"MSZ\", \"id\": 5}, {\"name\": \"DSM\", \"id\": 6}, {\"name\": \"AUY\", \"id\": 7}, {\"name\": \"TXK\", \"id\": 8}], \"links\": [{\"weight\": 5729, \"source\": 0, \"target\": 1}, {\"weight\": 14051, \"source\": 0, \"target\": 2}, {\"weight\": 8609, \"source\": 0, \"target\": 3}, {\"weight\": 10007, \"source\": 0, \"target\": 4}, {\"weight\": 1632, \"source\": 0, \"target\": 6}, {\"weight\": 1259, \"source\": 0, \"target\": 8}, {\"weight\": 12902, \"source\": 0, \"target\": 5}, {\"weight\": 13131, \"source\": 0, \"target\": 7}, {\"weight\": 13747, \"source\": 1, \"target\": 2}, {\"weight\": 13869, \"source\": 1, \"target\": 3}, {\"weight\": 11782, \"source\": 1, \"target\": 4}, {\"weight\": 4353, \"source\": 1, \"target\": 6}, {\"weight\": 5149, \"source\": 1, \"target\": 8}, {\"weight\": 15932, \"source\": 1, \"target\": 5}, {\"weight\": 13793, \"source\": 1, \"target\": 7}, {\"weight\": 20184, \"source\": 2, \"target\": 3}, {\"weight\": 8245, \"source\": 2, \"target\": 4}, {\"weight\": 13250, \"source\": 2, \"target\": 6}, {\"weight\": 13810, \"source\": 2, \"target\": 8}, {\"weight\": 11402, \"source\": 2, \"target\": 5}, {\"weight\": 9498, \"source\": 2, \"target\": 7}, {\"weight\": 13920, \"source\": 3, \"target\": 4}, {\"weight\": 9926, \"source\": 3, \"target\": 6}, {\"weight\": 9300, \"source\": 3, \"target\": 8}, {\"weight\": 10224, \"source\": 3, \"target\": 5}, {\"weight\": 13356, \"source\": 3, \"target\": 7}, {\"weight\": 9653, \"source\": 4, \"target\": 6}, {\"weight\": 10763, \"source\": 4, \"target\": 8}, {\"weight\": 7457, \"source\": 4, \"target\": 5}, {\"weight\": 17055, \"source\": 4, \"target\": 7}, {\"weight\": 12987, \"source\": 5, \"target\": 6}, {\"weight\": 13917, \"source\": 5, \"target\": 8}, {\"weight\": 17039, \"source\": 5, \"target\": 7}, {\"weight\": 1295, \"source\": 6, \"target\": 8}, {\"weight\": 12510, \"source\": 6, \"target\": 7}, {\"weight\": 12452, \"source\": 7, \"target\": 8}]}",
"id": 1032,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PNS, YYH, DLU, BRC, KSJ, MSZ, DSM, AUY, TXK\n- Travel distances (in kilometers) between each pair of airports:\nPNS to YYH: 5729\nPNS to DLU: 14051\nPNS to BRC: 8609\nPNS to KSJ: 10007\nPNS to DSM: 1632\nPNS to TXK: 1259\nPNS to MSZ: 12902\nPNS to AUY: 13131\nYYH to DLU: 13747\nYYH to BRC: 13869\nYYH to KSJ: 11782\nYYH to DSM: 4353\nYYH to TXK: 5149\nYYH to MSZ: 15932\nYYH to AUY: 13793\nDLU to BRC: 20184\nDLU to KSJ: 8245\nDLU to DSM: 13250\nDLU to TXK: 13810\nDLU to MSZ: 11402\nDLU to AUY: 9498\nBRC to KSJ: 13920\nBRC to DSM: 9926\nBRC to TXK: 9300\nBRC to MSZ: 10224\nBRC to AUY: 13356\nKSJ to DSM: 9653\nKSJ to TXK: 10763\nKSJ to MSZ: 7457\nKSJ to AUY: 17055\nMSZ to DSM: 12987\nMSZ to TXK: 13917\nMSZ to AUY: 17039\nDSM to TXK: 1295\nDSM to AUY: 12510\nAUY to TXK: 12452\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ROA, BKG, ERM, GXH, SFN, RHD, TAB, NYI, BKY\n- Travel distances (in kilometers) between each pair of airports:\nROA to GXH: 12756\nROA to SFN: 8903\nROA to RHD: 9518\nROA to TAB: 3685\nROA to BKY: 12411\nROA to BKG: 1730\nROA to ERM: 8298\nROA to NYI: 9142\nBKG to GXH: 12842\nBKG to SFN: 9494\nBKG to RHD: 10109\nBKG to TAB: 5008\nBKG to BKY: 13685\nBKG to ERM: 9301\nBKG to NYI: 10453\nERM to GXH: 17765\nERM to SFN: 1515\nERM to RHD: 2130\nERM to TAB: 5111\nERM to BKY: 9314\nERM to NYI: 7348\nGXH to SFN: 19061\nGXH to RHD: 19676\nGXH to TAB: 15733\nGXH to BKY: 11685\nGXH to NYI: 11421\nSFN to RHD: 1387\nSFN to TAB: 6449\nSFN to BKY: 10610\nSFN to NYI: 8644\nRHD to TAB: 7064\nRHD to BKY: 11225\nRHD to NYI: 9259\nTAB to BKY: 12183\nTAB to NYI: 8929\nNYI to BKY: 3943\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 51157,
"style": "rule"
}
|
{
"exact_answer": 51157,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"ROA\", \"id\": 0}, {\"name\": \"BKG\", \"id\": 1}, {\"name\": \"ERM\", \"id\": 2}, {\"name\": \"GXH\", \"id\": 3}, {\"name\": \"SFN\", \"id\": 4}, {\"name\": \"RHD\", \"id\": 5}, {\"name\": \"TAB\", \"id\": 6}, {\"name\": \"NYI\", \"id\": 7}, {\"name\": \"BKY\", \"id\": 8}], \"links\": [{\"weight\": 12756, \"source\": 0, \"target\": 3}, {\"weight\": 8903, \"source\": 0, \"target\": 4}, {\"weight\": 9518, \"source\": 0, \"target\": 5}, {\"weight\": 3685, \"source\": 0, \"target\": 6}, {\"weight\": 12411, \"source\": 0, \"target\": 8}, {\"weight\": 1730, \"source\": 0, \"target\": 1}, {\"weight\": 8298, \"source\": 0, \"target\": 2}, {\"weight\": 9142, \"source\": 0, \"target\": 7}, {\"weight\": 12842, \"source\": 1, \"target\": 3}, {\"weight\": 9494, \"source\": 1, \"target\": 4}, {\"weight\": 10109, \"source\": 1, \"target\": 5}, {\"weight\": 5008, \"source\": 1, \"target\": 6}, {\"weight\": 13685, \"source\": 1, \"target\": 8}, {\"weight\": 9301, \"source\": 1, \"target\": 2}, {\"weight\": 10453, \"source\": 1, \"target\": 7}, {\"weight\": 17765, \"source\": 2, \"target\": 3}, {\"weight\": 1515, \"source\": 2, \"target\": 4}, {\"weight\": 2130, \"source\": 2, \"target\": 5}, {\"weight\": 5111, \"source\": 2, \"target\": 6}, {\"weight\": 9314, \"source\": 2, \"target\": 8}, {\"weight\": 7348, \"source\": 2, \"target\": 7}, {\"weight\": 19061, \"source\": 3, \"target\": 4}, {\"weight\": 19676, \"source\": 3, \"target\": 5}, {\"weight\": 15733, \"source\": 3, \"target\": 6}, {\"weight\": 11685, \"source\": 3, \"target\": 8}, {\"weight\": 11421, \"source\": 3, \"target\": 7}, {\"weight\": 1387, \"source\": 4, \"target\": 5}, {\"weight\": 6449, \"source\": 4, \"target\": 6}, {\"weight\": 10610, \"source\": 4, \"target\": 8}, {\"weight\": 8644, \"source\": 4, \"target\": 7}, {\"weight\": 7064, \"source\": 5, \"target\": 6}, {\"weight\": 11225, \"source\": 5, \"target\": 8}, {\"weight\": 9259, \"source\": 5, \"target\": 7}, {\"weight\": 12183, \"source\": 6, \"target\": 8}, {\"weight\": 8929, \"source\": 6, \"target\": 7}, {\"weight\": 3943, \"source\": 7, \"target\": 8}]}",
"id": 1033,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ROA, BKG, ERM, GXH, SFN, RHD, TAB, NYI, BKY\n- Travel distances (in kilometers) between each pair of airports:\nROA to GXH: 12756\nROA to SFN: 8903\nROA to RHD: 9518\nROA to TAB: 3685\nROA to BKY: 12411\nROA to BKG: 1730\nROA to ERM: 8298\nROA to NYI: 9142\nBKG to GXH: 12842\nBKG to SFN: 9494\nBKG to RHD: 10109\nBKG to TAB: 5008\nBKG to BKY: 13685\nBKG to ERM: 9301\nBKG to NYI: 10453\nERM to GXH: 17765\nERM to SFN: 1515\nERM to RHD: 2130\nERM to TAB: 5111\nERM to BKY: 9314\nERM to NYI: 7348\nGXH to SFN: 19061\nGXH to RHD: 19676\nGXH to TAB: 15733\nGXH to BKY: 11685\nGXH to NYI: 11421\nSFN to RHD: 1387\nSFN to TAB: 6449\nSFN to BKY: 10610\nSFN to NYI: 8644\nRHD to TAB: 7064\nRHD to BKY: 11225\nRHD to NYI: 9259\nTAB to BKY: 12183\nTAB to NYI: 8929\nNYI to BKY: 3943\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: IAO, CIK, CJC, IFO, CRL, BJA, RNS, SJU, OAL\n- Travel distances (in kilometers) between each pair of airports:\nIAO to CIK: 13900\nIAO to SJU: 16884\nIAO to RNS: 11858\nIAO to OAL: 20819\nIAO to BJA: 12348\nIAO to CRL: 11330\nIAO to CJC: 18871\nIAO to IFO: 10061\nCIK to SJU: 8600\nCIK to RNS: 10791\nCIK to OAL: 13643\nCIK to BJA: 12159\nCIK to CRL: 10734\nCIK to CJC: 12421\nCIK to IFO: 12458\nCJC to SJU: 5220\nCJC to RNS: 11142\nCJC to OAL: 5243\nCJC to BJA: 11125\nCJC to CRL: 11509\nCJC to IFO: 13584\nIFO to SJU: 9412\nIFO to RNS: 2837\nIFO to OAL: 12698\nIFO to BJA: 3314\nIFO to CRL: 2354\nCRL to SJU: 7593\nCRL to RNS: 1103\nCRL to OAL: 10618\nCRL to BJA: 1530\nBJA to SJU: 7707\nBJA to RNS: 1492\nBJA to OAL: 9787\nRNS to SJU: 7377\nRNS to OAL: 10251\nSJU to OAL: 5471\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 57760,
"style": "rule"
}
|
{
"exact_answer": 57760,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"IAO\", \"id\": 0}, {\"name\": \"CIK\", \"id\": 1}, {\"name\": \"CJC\", \"id\": 2}, {\"name\": \"IFO\", \"id\": 3}, {\"name\": \"CRL\", \"id\": 4}, {\"name\": \"BJA\", \"id\": 5}, {\"name\": \"RNS\", \"id\": 6}, {\"name\": \"SJU\", \"id\": 7}, {\"name\": \"OAL\", \"id\": 8}], \"links\": [{\"weight\": 13900, \"source\": 0, \"target\": 1}, {\"weight\": 16884, \"source\": 0, \"target\": 7}, {\"weight\": 11858, \"source\": 0, \"target\": 6}, {\"weight\": 20819, \"source\": 0, \"target\": 8}, {\"weight\": 12348, \"source\": 0, \"target\": 5}, {\"weight\": 11330, \"source\": 0, \"target\": 4}, {\"weight\": 18871, \"source\": 0, \"target\": 2}, {\"weight\": 10061, \"source\": 0, \"target\": 3}, {\"weight\": 8600, \"source\": 1, \"target\": 7}, {\"weight\": 10791, \"source\": 1, \"target\": 6}, {\"weight\": 13643, \"source\": 1, \"target\": 8}, {\"weight\": 12159, \"source\": 1, \"target\": 5}, {\"weight\": 10734, \"source\": 1, \"target\": 4}, {\"weight\": 12421, \"source\": 1, \"target\": 2}, {\"weight\": 12458, \"source\": 1, \"target\": 3}, {\"weight\": 5220, \"source\": 2, \"target\": 7}, {\"weight\": 11142, \"source\": 2, \"target\": 6}, {\"weight\": 5243, \"source\": 2, \"target\": 8}, {\"weight\": 11125, \"source\": 2, \"target\": 5}, {\"weight\": 11509, \"source\": 2, \"target\": 4}, {\"weight\": 13584, \"source\": 2, \"target\": 3}, {\"weight\": 9412, \"source\": 3, \"target\": 7}, {\"weight\": 2837, \"source\": 3, \"target\": 6}, {\"weight\": 12698, \"source\": 3, \"target\": 8}, {\"weight\": 3314, \"source\": 3, \"target\": 5}, {\"weight\": 2354, \"source\": 3, \"target\": 4}, {\"weight\": 7593, \"source\": 4, \"target\": 7}, {\"weight\": 1103, \"source\": 4, \"target\": 6}, {\"weight\": 10618, \"source\": 4, \"target\": 8}, {\"weight\": 1530, \"source\": 4, \"target\": 5}, {\"weight\": 7707, \"source\": 5, \"target\": 7}, {\"weight\": 1492, \"source\": 5, \"target\": 6}, {\"weight\": 9787, \"source\": 5, \"target\": 8}, {\"weight\": 7377, \"source\": 6, \"target\": 7}, {\"weight\": 10251, \"source\": 6, \"target\": 8}, {\"weight\": 5471, \"source\": 7, \"target\": 8}]}",
"id": 1034,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: IAO, CIK, CJC, IFO, CRL, BJA, RNS, SJU, OAL\n- Travel distances (in kilometers) between each pair of airports:\nIAO to CIK: 13900\nIAO to SJU: 16884\nIAO to RNS: 11858\nIAO to OAL: 20819\nIAO to BJA: 12348\nIAO to CRL: 11330\nIAO to CJC: 18871\nIAO to IFO: 10061\nCIK to SJU: 8600\nCIK to RNS: 10791\nCIK to OAL: 13643\nCIK to BJA: 12159\nCIK to CRL: 10734\nCIK to CJC: 12421\nCIK to IFO: 12458\nCJC to SJU: 5220\nCJC to RNS: 11142\nCJC to OAL: 5243\nCJC to BJA: 11125\nCJC to CRL: 11509\nCJC to IFO: 13584\nIFO to SJU: 9412\nIFO to RNS: 2837\nIFO to OAL: 12698\nIFO to BJA: 3314\nIFO to CRL: 2354\nCRL to SJU: 7593\nCRL to RNS: 1103\nCRL to OAL: 10618\nCRL to BJA: 1530\nBJA to SJU: 7707\nBJA to RNS: 1492\nBJA to OAL: 9787\nRNS to SJU: 7377\nRNS to OAL: 10251\nSJU to OAL: 5471\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: MUC, JDH, SKE, EDR, PPW, OPO, YNG, BGM, MIM\n- Travel distances (in kilometers) between each pair of airports:\nMUC to OPO: 1790\nMUC to JDH: 6374\nMUC to BGM: 6895\nMUC to YNG: 8223\nMUC to PPW: 1606\nMUC to EDR: 15082\nMUC to SKE: 1667\nMUC to MIM: 16544\nJDH to OPO: 8121\nJDH to BGM: 12632\nJDH to YNG: 13980\nJDH to PPW: 7474\nJDH to EDR: 10142\nJDH to SKE: 7038\nJDH to MIM: 11120\nSKE to OPO: 2613\nSKE to BGM: 6292\nSKE to YNG: 7644\nSKE to PPW: 1063\nSKE to EDR: 15232\nSKE to MIM: 16911\nEDR to OPO: 16869\nEDR to BGM: 17203\nEDR to YNG: 17788\nEDR to PPW: 15711\nEDR to MIM: 2816\nPPW to OPO: 2060\nPPW to BGM: 5973\nPPW to YNG: 7321\nPPW to MIM: 17390\nOPO to BGM: 5755\nOPO to YNG: 7103\nOPO to MIM: 18170\nYNG to BGM: 1884\nYNG to MIM: 16695\nBGM to MIM: 16193\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 48456,
"style": "rule"
}
|
{
"exact_answer": 48456,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"MUC\", \"id\": 0}, {\"name\": \"JDH\", \"id\": 1}, {\"name\": \"SKE\", \"id\": 2}, {\"name\": \"EDR\", \"id\": 3}, {\"name\": \"PPW\", \"id\": 4}, {\"name\": \"OPO\", \"id\": 5}, {\"name\": \"YNG\", \"id\": 6}, {\"name\": \"BGM\", \"id\": 7}, {\"name\": \"MIM\", \"id\": 8}], \"links\": [{\"weight\": 1790, \"source\": 0, \"target\": 5}, {\"weight\": 6374, \"source\": 0, \"target\": 1}, {\"weight\": 6895, \"source\": 0, \"target\": 7}, {\"weight\": 8223, \"source\": 0, \"target\": 6}, {\"weight\": 1606, \"source\": 0, \"target\": 4}, {\"weight\": 15082, \"source\": 0, \"target\": 3}, {\"weight\": 1667, \"source\": 0, \"target\": 2}, {\"weight\": 16544, \"source\": 0, \"target\": 8}, {\"weight\": 8121, \"source\": 1, \"target\": 5}, {\"weight\": 12632, \"source\": 1, \"target\": 7}, {\"weight\": 13980, \"source\": 1, \"target\": 6}, {\"weight\": 7474, \"source\": 1, \"target\": 4}, {\"weight\": 10142, \"source\": 1, \"target\": 3}, {\"weight\": 7038, \"source\": 1, \"target\": 2}, {\"weight\": 11120, \"source\": 1, \"target\": 8}, {\"weight\": 2613, \"source\": 2, \"target\": 5}, {\"weight\": 6292, \"source\": 2, \"target\": 7}, {\"weight\": 7644, \"source\": 2, \"target\": 6}, {\"weight\": 1063, \"source\": 2, \"target\": 4}, {\"weight\": 15232, \"source\": 2, \"target\": 3}, {\"weight\": 16911, \"source\": 2, \"target\": 8}, {\"weight\": 16869, \"source\": 3, \"target\": 5}, {\"weight\": 17203, \"source\": 3, \"target\": 7}, {\"weight\": 17788, \"source\": 3, \"target\": 6}, {\"weight\": 15711, \"source\": 3, \"target\": 4}, {\"weight\": 2816, \"source\": 3, \"target\": 8}, {\"weight\": 2060, \"source\": 4, \"target\": 5}, {\"weight\": 5973, \"source\": 4, \"target\": 7}, {\"weight\": 7321, \"source\": 4, \"target\": 6}, {\"weight\": 17390, \"source\": 4, \"target\": 8}, {\"weight\": 5755, \"source\": 5, \"target\": 7}, {\"weight\": 7103, \"source\": 5, \"target\": 6}, {\"weight\": 18170, \"source\": 5, \"target\": 8}, {\"weight\": 1884, \"source\": 6, \"target\": 7}, {\"weight\": 16695, \"source\": 6, \"target\": 8}, {\"weight\": 16193, \"source\": 7, \"target\": 8}]}",
"id": 1035,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: MUC, JDH, SKE, EDR, PPW, OPO, YNG, BGM, MIM\n- Travel distances (in kilometers) between each pair of airports:\nMUC to OPO: 1790\nMUC to JDH: 6374\nMUC to BGM: 6895\nMUC to YNG: 8223\nMUC to PPW: 1606\nMUC to EDR: 15082\nMUC to SKE: 1667\nMUC to MIM: 16544\nJDH to OPO: 8121\nJDH to BGM: 12632\nJDH to YNG: 13980\nJDH to PPW: 7474\nJDH to EDR: 10142\nJDH to SKE: 7038\nJDH to MIM: 11120\nSKE to OPO: 2613\nSKE to BGM: 6292\nSKE to YNG: 7644\nSKE to PPW: 1063\nSKE to EDR: 15232\nSKE to MIM: 16911\nEDR to OPO: 16869\nEDR to BGM: 17203\nEDR to YNG: 17788\nEDR to PPW: 15711\nEDR to MIM: 2816\nPPW to OPO: 2060\nPPW to BGM: 5973\nPPW to YNG: 7321\nPPW to MIM: 17390\nOPO to BGM: 5755\nOPO to YNG: 7103\nOPO to MIM: 18170\nYNG to BGM: 1884\nYNG to MIM: 16695\nBGM to MIM: 16193\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, SRK, YHI, GOT, WGA, TGG, NKG, NSN, ULO\n- Travel distances (in kilometers) between each pair of airports:\nPDS to NKG: 14067\nPDS to YHI: 6914\nPDS to GOT: 10448\nPDS to TGG: 17851\nPDS to ULO: 15731\nPDS to SRK: 11531\nPDS to NSN: 14512\nPDS to WGA: 15956\nSRK to NKG: 12783\nSRK to YHI: 9962\nSRK to GOT: 5025\nSRK to TGG: 14777\nSRK to ULO: 12068\nSRK to NSN: 20668\nSRK to WGA: 21094\nYHI to NKG: 11907\nYHI to GOT: 8879\nYHI to TGG: 15777\nYHI to ULO: 13522\nYHI to NSN: 14622\nYHI to WGA: 15632\nGOT to NKG: 8033\nGOT to TGG: 9973\nGOT to ULO: 7268\nGOT to NSN: 17941\nGOT to WGA: 16324\nWGA to NKG: 8414\nWGA to TGG: 6855\nWGA to ULO: 11591\nWGA to NSN: 2724\nTGG to NKG: 4022\nTGG to ULO: 6436\nTGG to NSN: 9110\nNKG to ULO: 3211\nNKG to NSN: 10149\nNSN to ULO: 13218\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 60493,
"style": "rule"
}
|
{
"exact_answer": 60493,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"PDS\", \"id\": 0}, {\"name\": \"SRK\", \"id\": 1}, {\"name\": \"YHI\", \"id\": 2}, {\"name\": \"GOT\", \"id\": 3}, {\"name\": \"WGA\", \"id\": 4}, {\"name\": \"TGG\", \"id\": 5}, {\"name\": \"NKG\", \"id\": 6}, {\"name\": \"NSN\", \"id\": 7}, {\"name\": \"ULO\", \"id\": 8}], \"links\": [{\"weight\": 14067, \"source\": 0, \"target\": 6}, {\"weight\": 6914, \"source\": 0, \"target\": 2}, {\"weight\": 10448, \"source\": 0, \"target\": 3}, {\"weight\": 17851, \"source\": 0, \"target\": 5}, {\"weight\": 15731, \"source\": 0, \"target\": 8}, {\"weight\": 11531, \"source\": 0, \"target\": 1}, {\"weight\": 14512, \"source\": 0, \"target\": 7}, {\"weight\": 15956, \"source\": 0, \"target\": 4}, {\"weight\": 12783, \"source\": 1, \"target\": 6}, {\"weight\": 9962, \"source\": 1, \"target\": 2}, {\"weight\": 5025, \"source\": 1, \"target\": 3}, {\"weight\": 14777, \"source\": 1, \"target\": 5}, {\"weight\": 12068, \"source\": 1, \"target\": 8}, {\"weight\": 20668, \"source\": 1, \"target\": 7}, {\"weight\": 21094, \"source\": 1, \"target\": 4}, {\"weight\": 11907, \"source\": 2, \"target\": 6}, {\"weight\": 8879, \"source\": 2, \"target\": 3}, {\"weight\": 15777, \"source\": 2, \"target\": 5}, {\"weight\": 13522, \"source\": 2, \"target\": 8}, {\"weight\": 14622, \"source\": 2, \"target\": 7}, {\"weight\": 15632, \"source\": 2, \"target\": 4}, {\"weight\": 8033, \"source\": 3, \"target\": 6}, {\"weight\": 9973, \"source\": 3, \"target\": 5}, {\"weight\": 7268, \"source\": 3, \"target\": 8}, {\"weight\": 17941, \"source\": 3, \"target\": 7}, {\"weight\": 16324, \"source\": 3, \"target\": 4}, {\"weight\": 8414, \"source\": 4, \"target\": 6}, {\"weight\": 6855, \"source\": 4, \"target\": 5}, {\"weight\": 11591, \"source\": 4, \"target\": 8}, {\"weight\": 2724, \"source\": 4, \"target\": 7}, {\"weight\": 4022, \"source\": 5, \"target\": 6}, {\"weight\": 6436, \"source\": 5, \"target\": 8}, {\"weight\": 9110, \"source\": 5, \"target\": 7}, {\"weight\": 3211, \"source\": 6, \"target\": 8}, {\"weight\": 10149, \"source\": 6, \"target\": 7}, {\"weight\": 13218, \"source\": 7, \"target\": 8}]}",
"id": 1036,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, SRK, YHI, GOT, WGA, TGG, NKG, NSN, ULO\n- Travel distances (in kilometers) between each pair of airports:\nPDS to NKG: 14067\nPDS to YHI: 6914\nPDS to GOT: 10448\nPDS to TGG: 17851\nPDS to ULO: 15731\nPDS to SRK: 11531\nPDS to NSN: 14512\nPDS to WGA: 15956\nSRK to NKG: 12783\nSRK to YHI: 9962\nSRK to GOT: 5025\nSRK to TGG: 14777\nSRK to ULO: 12068\nSRK to NSN: 20668\nSRK to WGA: 21094\nYHI to NKG: 11907\nYHI to GOT: 8879\nYHI to TGG: 15777\nYHI to ULO: 13522\nYHI to NSN: 14622\nYHI to WGA: 15632\nGOT to NKG: 8033\nGOT to TGG: 9973\nGOT to ULO: 7268\nGOT to NSN: 17941\nGOT to WGA: 16324\nWGA to NKG: 8414\nWGA to TGG: 6855\nWGA to ULO: 11591\nWGA to NSN: 2724\nTGG to NKG: 4022\nTGG to ULO: 6436\nTGG to NSN: 9110\nNKG to ULO: 3211\nNKG to NSN: 10149\nNSN to ULO: 13218\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: MSU, YQU, BAY, URG, YTL, GOV, JQA, SRX, VAO\n- Travel distances (in kilometers) between each pair of airports:\nMSU to YQU: 16659\nMSU to BAY: 8680\nMSU to GOV: 11981\nMSU to JQA: 13479\nMSU to VAO: 14526\nMSU to SRX: 8760\nMSU to URG: 9245\nMSU to YTL: 15406\nYQU to BAY: 9416\nYQU to GOV: 15382\nYQU to JQA: 7462\nYQU to VAO: 13013\nYQU to SRX: 9911\nYQU to URG: 12055\nYQU to YTL: 2410\nBAY to GOV: 13498\nBAY to JQA: 5803\nBAY to VAO: 15576\nBAY to SRX: 2542\nBAY to URG: 12419\nBAY to YTL: 9784\nURG to GOV: 16923\nURG to JQA: 14759\nURG to VAO: 15985\nURG to SRX: 11272\nURG to YTL: 11105\nYTL to GOV: 16840\nYTL to JQA: 7923\nYTL to VAO: 14488\nYTL to SRX: 9760\nGOV to JQA: 17367\nGOV to VAO: 3588\nGOV to SRX: 14359\nJQA to VAO: 19112\nJQA to SRX: 6734\nSRX to VAO: 16774\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 67777,
"style": "rule"
}
|
{
"exact_answer": 67777,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"MSU\", \"id\": 0}, {\"name\": \"YQU\", \"id\": 1}, {\"name\": \"BAY\", \"id\": 2}, {\"name\": \"URG\", \"id\": 3}, {\"name\": \"YTL\", \"id\": 4}, {\"name\": \"GOV\", \"id\": 5}, {\"name\": \"JQA\", \"id\": 6}, {\"name\": \"SRX\", \"id\": 7}, {\"name\": \"VAO\", \"id\": 8}], \"links\": [{\"weight\": 16659, \"source\": 0, \"target\": 1}, {\"weight\": 8680, \"source\": 0, \"target\": 2}, {\"weight\": 11981, \"source\": 0, \"target\": 5}, {\"weight\": 13479, \"source\": 0, \"target\": 6}, {\"weight\": 14526, \"source\": 0, \"target\": 8}, {\"weight\": 8760, \"source\": 0, \"target\": 7}, {\"weight\": 9245, \"source\": 0, \"target\": 3}, {\"weight\": 15406, \"source\": 0, \"target\": 4}, {\"weight\": 9416, \"source\": 1, \"target\": 2}, {\"weight\": 15382, \"source\": 1, \"target\": 5}, {\"weight\": 7462, \"source\": 1, \"target\": 6}, {\"weight\": 13013, \"source\": 1, \"target\": 8}, {\"weight\": 9911, \"source\": 1, \"target\": 7}, {\"weight\": 12055, \"source\": 1, \"target\": 3}, {\"weight\": 2410, \"source\": 1, \"target\": 4}, {\"weight\": 13498, \"source\": 2, \"target\": 5}, {\"weight\": 5803, \"source\": 2, \"target\": 6}, {\"weight\": 15576, \"source\": 2, \"target\": 8}, {\"weight\": 2542, \"source\": 2, \"target\": 7}, {\"weight\": 12419, \"source\": 2, \"target\": 3}, {\"weight\": 9784, \"source\": 2, \"target\": 4}, {\"weight\": 16923, \"source\": 3, \"target\": 5}, {\"weight\": 14759, \"source\": 3, \"target\": 6}, {\"weight\": 15985, \"source\": 3, \"target\": 8}, {\"weight\": 11272, \"source\": 3, \"target\": 7}, {\"weight\": 11105, \"source\": 3, \"target\": 4}, {\"weight\": 16840, \"source\": 4, \"target\": 5}, {\"weight\": 7923, \"source\": 4, \"target\": 6}, {\"weight\": 14488, \"source\": 4, \"target\": 8}, {\"weight\": 9760, \"source\": 4, \"target\": 7}, {\"weight\": 17367, \"source\": 5, \"target\": 6}, {\"weight\": 3588, \"source\": 5, \"target\": 8}, {\"weight\": 14359, \"source\": 5, \"target\": 7}, {\"weight\": 19112, \"source\": 6, \"target\": 8}, {\"weight\": 6734, \"source\": 6, \"target\": 7}, {\"weight\": 16774, \"source\": 7, \"target\": 8}]}",
"id": 1037,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: MSU, YQU, BAY, URG, YTL, GOV, JQA, SRX, VAO\n- Travel distances (in kilometers) between each pair of airports:\nMSU to YQU: 16659\nMSU to BAY: 8680\nMSU to GOV: 11981\nMSU to JQA: 13479\nMSU to VAO: 14526\nMSU to SRX: 8760\nMSU to URG: 9245\nMSU to YTL: 15406\nYQU to BAY: 9416\nYQU to GOV: 15382\nYQU to JQA: 7462\nYQU to VAO: 13013\nYQU to SRX: 9911\nYQU to URG: 12055\nYQU to YTL: 2410\nBAY to GOV: 13498\nBAY to JQA: 5803\nBAY to VAO: 15576\nBAY to SRX: 2542\nBAY to URG: 12419\nBAY to YTL: 9784\nURG to GOV: 16923\nURG to JQA: 14759\nURG to VAO: 15985\nURG to SRX: 11272\nURG to YTL: 11105\nYTL to GOV: 16840\nYTL to JQA: 7923\nYTL to VAO: 14488\nYTL to SRX: 9760\nGOV to JQA: 17367\nGOV to VAO: 3588\nGOV to SRX: 14359\nJQA to VAO: 19112\nJQA to SRX: 6734\nSRX to VAO: 16774\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: GOM, BMW, CNF, SVQ, UTT, BPX, BYC, WLH, YWP\n- Travel distances (in kilometers) between each pair of airports:\nGOM to BYC: 11103\nGOM to CNF: 8702\nGOM to SVQ: 7306\nGOM to BMW: 8514\nGOM to BPX: 11121\nGOM to WLH: 18153\nGOM to UTT: 4964\nGOM to YWP: 13874\nBMW to BYC: 11688\nBMW to CNF: 9397\nBMW to SVQ: 2585\nBMW to BPX: 10341\nBMW to WLH: 19933\nBMW to UTT: 10252\nBMW to YWP: 9710\nCNF to BYC: 2926\nCNF to SVQ: 7563\nCNF to BPX: 16419\nCNF to WLH: 15320\nCNF to UTT: 8538\nCNF to YWP: 9466\nSVQ to BYC: 9893\nSVQ to BPX: 9479\nSVQ to WLH: 18951\nSVQ to UTT: 9098\nSVQ to YWP: 7499\nUTT to BYC: 10472\nUTT to BPX: 10342\nUTT to WLH: 14395\nUTT to YWP: 15460\nBPX to BYC: 18690\nBPX to WLH: 10078\nBPX to YWP: 13693\nBYC to WLH: 14921\nBYC to YWP: 9040\nWLH to YWP: 13737\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 69515,
"style": "rule"
}
|
{
"exact_answer": 69515,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"GOM\", \"id\": 0}, {\"name\": \"BMW\", \"id\": 1}, {\"name\": \"CNF\", \"id\": 2}, {\"name\": \"SVQ\", \"id\": 3}, {\"name\": \"UTT\", \"id\": 4}, {\"name\": \"BPX\", \"id\": 5}, {\"name\": \"BYC\", \"id\": 6}, {\"name\": \"WLH\", \"id\": 7}, {\"name\": \"YWP\", \"id\": 8}], \"links\": [{\"weight\": 11103, \"source\": 0, \"target\": 6}, {\"weight\": 8702, \"source\": 0, \"target\": 2}, {\"weight\": 7306, \"source\": 0, \"target\": 3}, {\"weight\": 8514, \"source\": 0, \"target\": 1}, {\"weight\": 11121, \"source\": 0, \"target\": 5}, {\"weight\": 18153, \"source\": 0, \"target\": 7}, {\"weight\": 4964, \"source\": 0, \"target\": 4}, {\"weight\": 13874, \"source\": 0, \"target\": 8}, {\"weight\": 11688, \"source\": 1, \"target\": 6}, {\"weight\": 9397, \"source\": 1, \"target\": 2}, {\"weight\": 2585, \"source\": 1, \"target\": 3}, {\"weight\": 10341, \"source\": 1, \"target\": 5}, {\"weight\": 19933, \"source\": 1, \"target\": 7}, {\"weight\": 10252, \"source\": 1, \"target\": 4}, {\"weight\": 9710, \"source\": 1, \"target\": 8}, {\"weight\": 2926, \"source\": 2, \"target\": 6}, {\"weight\": 7563, \"source\": 2, \"target\": 3}, {\"weight\": 16419, \"source\": 2, \"target\": 5}, {\"weight\": 15320, \"source\": 2, \"target\": 7}, {\"weight\": 8538, \"source\": 2, \"target\": 4}, {\"weight\": 9466, \"source\": 2, \"target\": 8}, {\"weight\": 9893, \"source\": 3, \"target\": 6}, {\"weight\": 9479, \"source\": 3, \"target\": 5}, {\"weight\": 18951, \"source\": 3, \"target\": 7}, {\"weight\": 9098, \"source\": 3, \"target\": 4}, {\"weight\": 7499, \"source\": 3, \"target\": 8}, {\"weight\": 10472, \"source\": 4, \"target\": 6}, {\"weight\": 10342, \"source\": 4, \"target\": 5}, {\"weight\": 14395, \"source\": 4, \"target\": 7}, {\"weight\": 15460, \"source\": 4, \"target\": 8}, {\"weight\": 18690, \"source\": 5, \"target\": 6}, {\"weight\": 10078, \"source\": 5, \"target\": 7}, {\"weight\": 13693, \"source\": 5, \"target\": 8}, {\"weight\": 14921, \"source\": 6, \"target\": 7}, {\"weight\": 9040, \"source\": 6, \"target\": 8}, {\"weight\": 13737, \"source\": 7, \"target\": 8}]}",
"id": 1038,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: GOM, BMW, CNF, SVQ, UTT, BPX, BYC, WLH, YWP\n- Travel distances (in kilometers) between each pair of airports:\nGOM to BYC: 11103\nGOM to CNF: 8702\nGOM to SVQ: 7306\nGOM to BMW: 8514\nGOM to BPX: 11121\nGOM to WLH: 18153\nGOM to UTT: 4964\nGOM to YWP: 13874\nBMW to BYC: 11688\nBMW to CNF: 9397\nBMW to SVQ: 2585\nBMW to BPX: 10341\nBMW to WLH: 19933\nBMW to UTT: 10252\nBMW to YWP: 9710\nCNF to BYC: 2926\nCNF to SVQ: 7563\nCNF to BPX: 16419\nCNF to WLH: 15320\nCNF to UTT: 8538\nCNF to YWP: 9466\nSVQ to BYC: 9893\nSVQ to BPX: 9479\nSVQ to WLH: 18951\nSVQ to UTT: 9098\nSVQ to YWP: 7499\nUTT to BYC: 10472\nUTT to BPX: 10342\nUTT to WLH: 14395\nUTT to YWP: 15460\nBPX to BYC: 18690\nBPX to WLH: 10078\nBPX to YWP: 13693\nBYC to WLH: 14921\nBYC to YWP: 9040\nWLH to YWP: 13737\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SDK, LFM, MKG, HPH, LRE, FRA, LAP, YWP, OSD\n- Travel distances (in kilometers) between each pair of airports:\nSDK to LAP: 14457\nSDK to FRA: 11205\nSDK to HPH: 3526\nSDK to LRE: 5979\nSDK to LFM: 7427\nSDK to OSD: 10694\nSDK to MKG: 14589\nSDK to YWP: 14627\nLFM to LAP: 14643\nLFM to FRA: 4570\nLFM to HPH: 6662\nLFM to LRE: 12050\nLFM to OSD: 5301\nLFM to MKG: 11706\nLFM to YWP: 12333\nMKG to LAP: 3318\nMKG to FRA: 7161\nMKG to HPH: 14160\nMKG to LRE: 15514\nMKG to OSD: 7478\nMKG to YWP: 2329\nHPH to LAP: 14485\nHPH to FRA: 9892\nHPH to LRE: 8009\nHPH to OSD: 9562\nHPH to YWP: 14685\nLRE to LAP: 14303\nLRE to FRA: 15690\nLRE to OSD: 15177\nLRE to YWP: 15886\nFRA to LAP: 10096\nFRA to OSD: 1655\nFRA to YWP: 7782\nLAP to OSD: 10416\nLAP to YWP: 4746\nYWP to OSD: 8184\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 50526,
"style": "rule"
}
|
{
"exact_answer": 50526,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"SDK\", \"id\": 0}, {\"name\": \"LFM\", \"id\": 1}, {\"name\": \"MKG\", \"id\": 2}, {\"name\": \"HPH\", \"id\": 3}, {\"name\": \"LRE\", \"id\": 4}, {\"name\": \"FRA\", \"id\": 5}, {\"name\": \"LAP\", \"id\": 6}, {\"name\": \"YWP\", \"id\": 7}, {\"name\": \"OSD\", \"id\": 8}], \"links\": [{\"weight\": 14457, \"source\": 0, \"target\": 6}, {\"weight\": 11205, \"source\": 0, \"target\": 5}, {\"weight\": 3526, \"source\": 0, \"target\": 3}, {\"weight\": 5979, \"source\": 0, \"target\": 4}, {\"weight\": 7427, \"source\": 0, \"target\": 1}, {\"weight\": 10694, \"source\": 0, \"target\": 8}, {\"weight\": 14589, \"source\": 0, \"target\": 2}, {\"weight\": 14627, \"source\": 0, \"target\": 7}, {\"weight\": 14643, \"source\": 1, \"target\": 6}, {\"weight\": 4570, \"source\": 1, \"target\": 5}, {\"weight\": 6662, \"source\": 1, \"target\": 3}, {\"weight\": 12050, \"source\": 1, \"target\": 4}, {\"weight\": 5301, \"source\": 1, \"target\": 8}, {\"weight\": 11706, \"source\": 1, \"target\": 2}, {\"weight\": 12333, \"source\": 1, \"target\": 7}, {\"weight\": 3318, \"source\": 2, \"target\": 6}, {\"weight\": 7161, \"source\": 2, \"target\": 5}, {\"weight\": 14160, \"source\": 2, \"target\": 3}, {\"weight\": 15514, \"source\": 2, \"target\": 4}, {\"weight\": 7478, \"source\": 2, \"target\": 8}, {\"weight\": 2329, \"source\": 2, \"target\": 7}, {\"weight\": 14485, \"source\": 3, \"target\": 6}, {\"weight\": 9892, \"source\": 3, \"target\": 5}, {\"weight\": 8009, \"source\": 3, \"target\": 4}, {\"weight\": 9562, \"source\": 3, \"target\": 8}, {\"weight\": 14685, \"source\": 3, \"target\": 7}, {\"weight\": 14303, \"source\": 4, \"target\": 6}, {\"weight\": 15690, \"source\": 4, \"target\": 5}, {\"weight\": 15177, \"source\": 4, \"target\": 8}, {\"weight\": 15886, \"source\": 4, \"target\": 7}, {\"weight\": 10096, \"source\": 5, \"target\": 6}, {\"weight\": 1655, \"source\": 5, \"target\": 8}, {\"weight\": 7782, \"source\": 5, \"target\": 7}, {\"weight\": 10416, \"source\": 6, \"target\": 8}, {\"weight\": 4746, \"source\": 6, \"target\": 7}, {\"weight\": 8184, \"source\": 7, \"target\": 8}]}",
"id": 1039,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SDK, LFM, MKG, HPH, LRE, FRA, LAP, YWP, OSD\n- Travel distances (in kilometers) between each pair of airports:\nSDK to LAP: 14457\nSDK to FRA: 11205\nSDK to HPH: 3526\nSDK to LRE: 5979\nSDK to LFM: 7427\nSDK to OSD: 10694\nSDK to MKG: 14589\nSDK to YWP: 14627\nLFM to LAP: 14643\nLFM to FRA: 4570\nLFM to HPH: 6662\nLFM to LRE: 12050\nLFM to OSD: 5301\nLFM to MKG: 11706\nLFM to YWP: 12333\nMKG to LAP: 3318\nMKG to FRA: 7161\nMKG to HPH: 14160\nMKG to LRE: 15514\nMKG to OSD: 7478\nMKG to YWP: 2329\nHPH to LAP: 14485\nHPH to FRA: 9892\nHPH to LRE: 8009\nHPH to OSD: 9562\nHPH to YWP: 14685\nLRE to LAP: 14303\nLRE to FRA: 15690\nLRE to OSD: 15177\nLRE to YWP: 15886\nFRA to LAP: 10096\nFRA to OSD: 1655\nFRA to YWP: 7782\nLAP to OSD: 10416\nLAP to YWP: 4746\nYWP to OSD: 8184\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: DNK, PSJ, MBJ, PPP, YBL, SDU, KZB, HNL, TLV\n- Travel distances (in kilometers) between each pair of airports:\nDNK to TLV: 1817\nDNK to KZB: 12447\nDNK to YBL: 9646\nDNK to MBJ: 10078\nDNK to HNL: 13893\nDNK to SDU: 11330\nDNK to PPP: 15415\nDNK to PSJ: 10763\nPSJ to KZB: 16389\nPSJ to TLV: 10258\nPSJ to YBL: 13616\nPSJ to MBJ: 18745\nPSJ to HNL: 11414\nPSJ to SDU: 18731\nPSJ to PPP: 6439\nMBJ to KZB: 7804\nMBJ to TLV: 11005\nMBJ to YBL: 5479\nMBJ to HNL: 8447\nMBJ to SDU: 6202\nMBJ to PPP: 16747\nPPP to KZB: 13422\nPPP to TLV: 15005\nPPP to YBL: 12972\nPPP to HNL: 8447\nPPP to SDU: 15798\nYBL to KZB: 3202\nYBL to TLV: 11112\nYBL to HNL: 4525\nYBL to SDU: 11444\nSDU to KZB: 13658\nSDU to TLV: 11032\nSDU to HNL: 14306\nKZB to TLV: 13913\nKZB to HNL: 4975\nHNL to TLV: 15213\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 58149,
"style": "rule"
}
|
{
"exact_answer": 58149,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"DNK\", \"id\": 0}, {\"name\": \"PSJ\", \"id\": 1}, {\"name\": \"MBJ\", \"id\": 2}, {\"name\": \"PPP\", \"id\": 3}, {\"name\": \"YBL\", \"id\": 4}, {\"name\": \"SDU\", \"id\": 5}, {\"name\": \"KZB\", \"id\": 6}, {\"name\": \"HNL\", \"id\": 7}, {\"name\": \"TLV\", \"id\": 8}], \"links\": [{\"weight\": 1817, \"source\": 0, \"target\": 8}, {\"weight\": 12447, \"source\": 0, \"target\": 6}, {\"weight\": 9646, \"source\": 0, \"target\": 4}, {\"weight\": 10078, \"source\": 0, \"target\": 2}, {\"weight\": 13893, \"source\": 0, \"target\": 7}, {\"weight\": 11330, \"source\": 0, \"target\": 5}, {\"weight\": 15415, \"source\": 0, \"target\": 3}, {\"weight\": 10763, \"source\": 0, \"target\": 1}, {\"weight\": 16389, \"source\": 1, \"target\": 6}, {\"weight\": 10258, \"source\": 1, \"target\": 8}, {\"weight\": 13616, \"source\": 1, \"target\": 4}, {\"weight\": 18745, \"source\": 1, \"target\": 2}, {\"weight\": 11414, \"source\": 1, \"target\": 7}, {\"weight\": 18731, \"source\": 1, \"target\": 5}, {\"weight\": 6439, \"source\": 1, \"target\": 3}, {\"weight\": 7804, \"source\": 2, \"target\": 6}, {\"weight\": 11005, \"source\": 2, \"target\": 8}, {\"weight\": 5479, \"source\": 2, \"target\": 4}, {\"weight\": 8447, \"source\": 2, \"target\": 7}, {\"weight\": 6202, \"source\": 2, \"target\": 5}, {\"weight\": 16747, \"source\": 2, \"target\": 3}, {\"weight\": 13422, \"source\": 3, \"target\": 6}, {\"weight\": 15005, \"source\": 3, \"target\": 8}, {\"weight\": 12972, \"source\": 3, \"target\": 4}, {\"weight\": 8447, \"source\": 3, \"target\": 7}, {\"weight\": 15798, \"source\": 3, \"target\": 5}, {\"weight\": 3202, \"source\": 4, \"target\": 6}, {\"weight\": 11112, \"source\": 4, \"target\": 8}, {\"weight\": 4525, \"source\": 4, \"target\": 7}, {\"weight\": 11444, \"source\": 4, \"target\": 5}, {\"weight\": 13658, \"source\": 5, \"target\": 6}, {\"weight\": 11032, \"source\": 5, \"target\": 8}, {\"weight\": 14306, \"source\": 5, \"target\": 7}, {\"weight\": 13913, \"source\": 6, \"target\": 8}, {\"weight\": 4975, \"source\": 6, \"target\": 7}, {\"weight\": 15213, \"source\": 7, \"target\": 8}]}",
"id": 1040,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: DNK, PSJ, MBJ, PPP, YBL, SDU, KZB, HNL, TLV\n- Travel distances (in kilometers) between each pair of airports:\nDNK to TLV: 1817\nDNK to KZB: 12447\nDNK to YBL: 9646\nDNK to MBJ: 10078\nDNK to HNL: 13893\nDNK to SDU: 11330\nDNK to PPP: 15415\nDNK to PSJ: 10763\nPSJ to KZB: 16389\nPSJ to TLV: 10258\nPSJ to YBL: 13616\nPSJ to MBJ: 18745\nPSJ to HNL: 11414\nPSJ to SDU: 18731\nPSJ to PPP: 6439\nMBJ to KZB: 7804\nMBJ to TLV: 11005\nMBJ to YBL: 5479\nMBJ to HNL: 8447\nMBJ to SDU: 6202\nMBJ to PPP: 16747\nPPP to KZB: 13422\nPPP to TLV: 15005\nPPP to YBL: 12972\nPPP to HNL: 8447\nPPP to SDU: 15798\nYBL to KZB: 3202\nYBL to TLV: 11112\nYBL to HNL: 4525\nYBL to SDU: 11444\nSDU to KZB: 13658\nSDU to TLV: 11032\nSDU to HNL: 14306\nKZB to TLV: 13913\nKZB to HNL: 4975\nHNL to TLV: 15213\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BBO, REC, GHE, MPM, DAX, TUC, LEA, RVK, TYR\n- Travel distances (in kilometers) between each pair of airports:\nBBO to GHE: 15140\nBBO to TYR: 13933\nBBO to REC: 10813\nBBO to TUC: 13415\nBBO to DAX: 7306\nBBO to MPM: 4352\nBBO to LEA: 11653\nBBO to RVK: 6676\nREC to GHE: 6511\nREC to TYR: 7996\nREC to TUC: 4861\nREC to DAX: 16769\nREC to MPM: 9972\nREC to LEA: 18943\nREC to RVK: 9066\nGHE to TYR: 3456\nGHE to TUC: 7497\nGHE to DAX: 16022\nGHE to MPM: 14152\nGHE to LEA: 21305\nGHE to RVK: 10182\nMPM to TYR: 15352\nMPM to TUC: 10635\nMPM to DAX: 11170\nMPM to LEA: 9837\nMPM to RVK: 10471\nDAX to TYR: 12748\nDAX to TUC: 20505\nDAX to LEA: 8301\nDAX to RVK: 8655\nTUC to TYR: 9563\nTUC to LEA: 17926\nTUC to RVK: 13868\nLEA to TYR: 18229\nLEA to RVK: 15262\nRVK to TYR: 8049\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 65632,
"style": "rule"
}
|
{
"exact_answer": 65632,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"BBO\", \"id\": 0}, {\"name\": \"REC\", \"id\": 1}, {\"name\": \"GHE\", \"id\": 2}, {\"name\": \"MPM\", \"id\": 3}, {\"name\": \"DAX\", \"id\": 4}, {\"name\": \"TUC\", \"id\": 5}, {\"name\": \"LEA\", \"id\": 6}, {\"name\": \"RVK\", \"id\": 7}, {\"name\": \"TYR\", \"id\": 8}], \"links\": [{\"weight\": 15140, \"source\": 0, \"target\": 2}, {\"weight\": 13933, \"source\": 0, \"target\": 8}, {\"weight\": 10813, \"source\": 0, \"target\": 1}, {\"weight\": 13415, \"source\": 0, \"target\": 5}, {\"weight\": 7306, \"source\": 0, \"target\": 4}, {\"weight\": 4352, \"source\": 0, \"target\": 3}, {\"weight\": 11653, \"source\": 0, \"target\": 6}, {\"weight\": 6676, \"source\": 0, \"target\": 7}, {\"weight\": 6511, \"source\": 1, \"target\": 2}, {\"weight\": 7996, \"source\": 1, \"target\": 8}, {\"weight\": 4861, \"source\": 1, \"target\": 5}, {\"weight\": 16769, \"source\": 1, \"target\": 4}, {\"weight\": 9972, \"source\": 1, \"target\": 3}, {\"weight\": 18943, \"source\": 1, \"target\": 6}, {\"weight\": 9066, \"source\": 1, \"target\": 7}, {\"weight\": 3456, \"source\": 2, \"target\": 8}, {\"weight\": 7497, \"source\": 2, \"target\": 5}, {\"weight\": 16022, \"source\": 2, \"target\": 4}, {\"weight\": 14152, \"source\": 2, \"target\": 3}, {\"weight\": 21305, \"source\": 2, \"target\": 6}, {\"weight\": 10182, \"source\": 2, \"target\": 7}, {\"weight\": 15352, \"source\": 3, \"target\": 8}, {\"weight\": 10635, \"source\": 3, \"target\": 5}, {\"weight\": 11170, \"source\": 3, \"target\": 4}, {\"weight\": 9837, \"source\": 3, \"target\": 6}, {\"weight\": 10471, \"source\": 3, \"target\": 7}, {\"weight\": 12748, \"source\": 4, \"target\": 8}, {\"weight\": 20505, \"source\": 4, \"target\": 5}, {\"weight\": 8301, \"source\": 4, \"target\": 6}, {\"weight\": 8655, \"source\": 4, \"target\": 7}, {\"weight\": 9563, \"source\": 5, \"target\": 8}, {\"weight\": 17926, \"source\": 5, \"target\": 6}, {\"weight\": 13868, \"source\": 5, \"target\": 7}, {\"weight\": 18229, \"source\": 6, \"target\": 8}, {\"weight\": 15262, \"source\": 6, \"target\": 7}, {\"weight\": 8049, \"source\": 7, \"target\": 8}]}",
"id": 1041,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BBO, REC, GHE, MPM, DAX, TUC, LEA, RVK, TYR\n- Travel distances (in kilometers) between each pair of airports:\nBBO to GHE: 15140\nBBO to TYR: 13933\nBBO to REC: 10813\nBBO to TUC: 13415\nBBO to DAX: 7306\nBBO to MPM: 4352\nBBO to LEA: 11653\nBBO to RVK: 6676\nREC to GHE: 6511\nREC to TYR: 7996\nREC to TUC: 4861\nREC to DAX: 16769\nREC to MPM: 9972\nREC to LEA: 18943\nREC to RVK: 9066\nGHE to TYR: 3456\nGHE to TUC: 7497\nGHE to DAX: 16022\nGHE to MPM: 14152\nGHE to LEA: 21305\nGHE to RVK: 10182\nMPM to TYR: 15352\nMPM to TUC: 10635\nMPM to DAX: 11170\nMPM to LEA: 9837\nMPM to RVK: 10471\nDAX to TYR: 12748\nDAX to TUC: 20505\nDAX to LEA: 8301\nDAX to RVK: 8655\nTUC to TYR: 9563\nTUC to LEA: 17926\nTUC to RVK: 13868\nLEA to TYR: 18229\nLEA to RVK: 15262\nRVK to TYR: 8049\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PYY, FBM, RIC, YFO, NJC, MWF, KUL, UIP, TBW\n- Travel distances (in kilometers) between each pair of airports:\nPYY to NJC: 5617\nPYY to KUL: 1892\nPYY to UIP: 9895\nPYY to RIC: 14266\nPYY to FBM: 9215\nPYY to YFO: 13957\nPYY to MWF: 9618\nPYY to TBW: 7590\nFBM to NJC: 9350\nFBM to KUL: 9111\nFBM to UIP: 8547\nFBM to RIC: 12276\nFBM to YFO: 14500\nFBM to MWF: 15467\nFBM to TBW: 8239\nRIC to NJC: 10160\nRIC to KUL: 15686\nRIC to UIP: 6786\nRIC to YFO: 2777\nRIC to MWF: 13948\nRIC to TBW: 8376\nYFO to NJC: 11821\nYFO to KUL: 15155\nYFO to UIP: 8443\nYFO to MWF: 13275\nYFO to TBW: 10016\nNJC to KUL: 6827\nNJC to UIP: 5271\nNJC to MWF: 13345\nNJC to TBW: 2879\nMWF to KUL: 8299\nMWF to UIP: 18120\nMWF to TBW: 15779\nKUL to UIP: 10982\nKUL to TBW: 8591\nUIP to TBW: 3372\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 57845,
"style": "rule"
}
|
{
"exact_answer": 57845,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"PYY\", \"id\": 0}, {\"name\": \"FBM\", \"id\": 1}, {\"name\": \"RIC\", \"id\": 2}, {\"name\": \"YFO\", \"id\": 3}, {\"name\": \"NJC\", \"id\": 4}, {\"name\": \"MWF\", \"id\": 5}, {\"name\": \"KUL\", \"id\": 6}, {\"name\": \"UIP\", \"id\": 7}, {\"name\": \"TBW\", \"id\": 8}], \"links\": [{\"weight\": 5617, \"source\": 0, \"target\": 4}, {\"weight\": 1892, \"source\": 0, \"target\": 6}, {\"weight\": 9895, \"source\": 0, \"target\": 7}, {\"weight\": 14266, \"source\": 0, \"target\": 2}, {\"weight\": 9215, \"source\": 0, \"target\": 1}, {\"weight\": 13957, \"source\": 0, \"target\": 3}, {\"weight\": 9618, \"source\": 0, \"target\": 5}, {\"weight\": 7590, \"source\": 0, \"target\": 8}, {\"weight\": 9350, \"source\": 1, \"target\": 4}, {\"weight\": 9111, \"source\": 1, \"target\": 6}, {\"weight\": 8547, \"source\": 1, \"target\": 7}, {\"weight\": 12276, \"source\": 1, \"target\": 2}, {\"weight\": 14500, \"source\": 1, \"target\": 3}, {\"weight\": 15467, \"source\": 1, \"target\": 5}, {\"weight\": 8239, \"source\": 1, \"target\": 8}, {\"weight\": 10160, \"source\": 2, \"target\": 4}, {\"weight\": 15686, \"source\": 2, \"target\": 6}, {\"weight\": 6786, \"source\": 2, \"target\": 7}, {\"weight\": 2777, \"source\": 2, \"target\": 3}, {\"weight\": 13948, \"source\": 2, \"target\": 5}, {\"weight\": 8376, \"source\": 2, \"target\": 8}, {\"weight\": 11821, \"source\": 3, \"target\": 4}, {\"weight\": 15155, \"source\": 3, \"target\": 6}, {\"weight\": 8443, \"source\": 3, \"target\": 7}, {\"weight\": 13275, \"source\": 3, \"target\": 5}, {\"weight\": 10016, \"source\": 3, \"target\": 8}, {\"weight\": 6827, \"source\": 4, \"target\": 6}, {\"weight\": 5271, \"source\": 4, \"target\": 7}, {\"weight\": 13345, \"source\": 4, \"target\": 5}, {\"weight\": 2879, \"source\": 4, \"target\": 8}, {\"weight\": 8299, \"source\": 5, \"target\": 6}, {\"weight\": 18120, \"source\": 5, \"target\": 7}, {\"weight\": 15779, \"source\": 5, \"target\": 8}, {\"weight\": 10982, \"source\": 6, \"target\": 7}, {\"weight\": 8591, \"source\": 6, \"target\": 8}, {\"weight\": 3372, \"source\": 7, \"target\": 8}]}",
"id": 1042,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PYY, FBM, RIC, YFO, NJC, MWF, KUL, UIP, TBW\n- Travel distances (in kilometers) between each pair of airports:\nPYY to NJC: 5617\nPYY to KUL: 1892\nPYY to UIP: 9895\nPYY to RIC: 14266\nPYY to FBM: 9215\nPYY to YFO: 13957\nPYY to MWF: 9618\nPYY to TBW: 7590\nFBM to NJC: 9350\nFBM to KUL: 9111\nFBM to UIP: 8547\nFBM to RIC: 12276\nFBM to YFO: 14500\nFBM to MWF: 15467\nFBM to TBW: 8239\nRIC to NJC: 10160\nRIC to KUL: 15686\nRIC to UIP: 6786\nRIC to YFO: 2777\nRIC to MWF: 13948\nRIC to TBW: 8376\nYFO to NJC: 11821\nYFO to KUL: 15155\nYFO to UIP: 8443\nYFO to MWF: 13275\nYFO to TBW: 10016\nNJC to KUL: 6827\nNJC to UIP: 5271\nNJC to MWF: 13345\nNJC to TBW: 2879\nMWF to KUL: 8299\nMWF to UIP: 18120\nMWF to TBW: 15779\nKUL to UIP: 10982\nKUL to TBW: 8591\nUIP to TBW: 3372\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: AIU, MHK, LIG, ABR, OIA, BND, KOO, JNX, LEX\n- Travel distances (in kilometers) between each pair of airports:\nAIU to LEX: 11000\nAIU to JNX: 19045\nAIU to MHK: 10434\nAIU to LIG: 17172\nAIU to BND: 17490\nAIU to KOO: 20905\nAIU to ABR: 10635\nAIU to OIA: 14243\nMHK to LEX: 1324\nMHK to JNX: 9730\nMHK to LIG: 7706\nMHK to BND: 12562\nMHK to KOO: 14151\nMHK to ABR: 1752\nMHK to OIA: 7745\nLIG to LEX: 7037\nLIG to JNX: 2237\nLIG to BND: 5227\nLIG to KOO: 8383\nLIG to ABR: 7551\nLIG to OIA: 8881\nABR to LEX: 1457\nABR to JNX: 9433\nABR to BND: 12249\nABR to KOO: 14223\nABR to OIA: 7889\nOIA to LEX: 6442\nOIA to JNX: 9926\nOIA to BND: 12739\nOIA to KOO: 10787\nBND to LEX: 11952\nBND to JNX: 3478\nBND to KOO: 7642\nKOO to LEX: 13166\nKOO to JNX: 7817\nJNX to LEX: 9065\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 59067,
"style": "rule"
}
|
{
"exact_answer": 59067,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"AIU\", \"id\": 0}, {\"name\": \"MHK\", \"id\": 1}, {\"name\": \"LIG\", \"id\": 2}, {\"name\": \"ABR\", \"id\": 3}, {\"name\": \"OIA\", \"id\": 4}, {\"name\": \"BND\", \"id\": 5}, {\"name\": \"KOO\", \"id\": 6}, {\"name\": \"JNX\", \"id\": 7}, {\"name\": \"LEX\", \"id\": 8}], \"links\": [{\"weight\": 11000, \"source\": 0, \"target\": 8}, {\"weight\": 19045, \"source\": 0, \"target\": 7}, {\"weight\": 10434, \"source\": 0, \"target\": 1}, {\"weight\": 17172, \"source\": 0, \"target\": 2}, {\"weight\": 17490, \"source\": 0, \"target\": 5}, {\"weight\": 20905, \"source\": 0, \"target\": 6}, {\"weight\": 10635, \"source\": 0, \"target\": 3}, {\"weight\": 14243, \"source\": 0, \"target\": 4}, {\"weight\": 1324, \"source\": 1, \"target\": 8}, {\"weight\": 9730, \"source\": 1, \"target\": 7}, {\"weight\": 7706, \"source\": 1, \"target\": 2}, {\"weight\": 12562, \"source\": 1, \"target\": 5}, {\"weight\": 14151, \"source\": 1, \"target\": 6}, {\"weight\": 1752, \"source\": 1, \"target\": 3}, {\"weight\": 7745, \"source\": 1, \"target\": 4}, {\"weight\": 7037, \"source\": 2, \"target\": 8}, {\"weight\": 2237, \"source\": 2, \"target\": 7}, {\"weight\": 5227, \"source\": 2, \"target\": 5}, {\"weight\": 8383, \"source\": 2, \"target\": 6}, {\"weight\": 7551, \"source\": 2, \"target\": 3}, {\"weight\": 8881, \"source\": 2, \"target\": 4}, {\"weight\": 1457, \"source\": 3, \"target\": 8}, {\"weight\": 9433, \"source\": 3, \"target\": 7}, {\"weight\": 12249, \"source\": 3, \"target\": 5}, {\"weight\": 14223, \"source\": 3, \"target\": 6}, {\"weight\": 7889, \"source\": 3, \"target\": 4}, {\"weight\": 6442, \"source\": 4, \"target\": 8}, {\"weight\": 9926, \"source\": 4, \"target\": 7}, {\"weight\": 12739, \"source\": 4, \"target\": 5}, {\"weight\": 10787, \"source\": 4, \"target\": 6}, {\"weight\": 11952, \"source\": 5, \"target\": 8}, {\"weight\": 3478, \"source\": 5, \"target\": 7}, {\"weight\": 7642, \"source\": 5, \"target\": 6}, {\"weight\": 13166, \"source\": 6, \"target\": 8}, {\"weight\": 7817, \"source\": 6, \"target\": 7}, {\"weight\": 9065, \"source\": 7, \"target\": 8}]}",
"id": 1043,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: AIU, MHK, LIG, ABR, OIA, BND, KOO, JNX, LEX\n- Travel distances (in kilometers) between each pair of airports:\nAIU to LEX: 11000\nAIU to JNX: 19045\nAIU to MHK: 10434\nAIU to LIG: 17172\nAIU to BND: 17490\nAIU to KOO: 20905\nAIU to ABR: 10635\nAIU to OIA: 14243\nMHK to LEX: 1324\nMHK to JNX: 9730\nMHK to LIG: 7706\nMHK to BND: 12562\nMHK to KOO: 14151\nMHK to ABR: 1752\nMHK to OIA: 7745\nLIG to LEX: 7037\nLIG to JNX: 2237\nLIG to BND: 5227\nLIG to KOO: 8383\nLIG to ABR: 7551\nLIG to OIA: 8881\nABR to LEX: 1457\nABR to JNX: 9433\nABR to BND: 12249\nABR to KOO: 14223\nABR to OIA: 7889\nOIA to LEX: 6442\nOIA to JNX: 9926\nOIA to BND: 12739\nOIA to KOO: 10787\nBND to LEX: 11952\nBND to JNX: 3478\nBND to KOO: 7642\nKOO to LEX: 13166\nKOO to JNX: 7817\nJNX to LEX: 9065\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CSG, FCA, PHE, VXO, PHO, KHI, VGO, ZQW, BJV\n- Travel distances (in kilometers) between each pair of airports:\nCSG to VXO: 7682\nCSG to PHO: 6754\nCSG to BJV: 9591\nCSG to VGO: 7559\nCSG to FCA: 3238\nCSG to KHI: 12994\nCSG to PHE: 18090\nCSG to ZQW: 7767\nFCA to VXO: 8618\nFCA to PHO: 4052\nFCA to BJV: 10775\nFCA to VGO: 9280\nFCA to KHI: 13721\nFCA to PHE: 15217\nFCA to ZQW: 8988\nPHE to VXO: 12944\nPHE to PHO: 16726\nPHE to BJV: 11882\nPHE to VGO: 14763\nPHE to KHI: 7754\nPHE to ZQW: 13418\nVXO to PHO: 11456\nVXO to BJV: 2942\nVXO to VGO: 2366\nVXO to KHI: 5882\nVXO to ZQW: 1560\nPHO to BJV: 13730\nPHO to VGO: 12508\nPHO to KHI: 16559\nPHO to ZQW: 12011\nKHI to BJV: 4164\nKHI to VGO: 7049\nKHI to ZQW: 5786\nVGO to BJV: 3204\nVGO to ZQW: 1728\nZQW to BJV: 2195\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 49614,
"style": "rule"
}
|
{
"exact_answer": 49614,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"CSG\", \"id\": 0}, {\"name\": \"FCA\", \"id\": 1}, {\"name\": \"PHE\", \"id\": 2}, {\"name\": \"VXO\", \"id\": 3}, {\"name\": \"PHO\", \"id\": 4}, {\"name\": \"KHI\", \"id\": 5}, {\"name\": \"VGO\", \"id\": 6}, {\"name\": \"ZQW\", \"id\": 7}, {\"name\": \"BJV\", \"id\": 8}], \"links\": [{\"weight\": 7682, \"source\": 0, \"target\": 3}, {\"weight\": 6754, \"source\": 0, \"target\": 4}, {\"weight\": 9591, \"source\": 0, \"target\": 8}, {\"weight\": 7559, \"source\": 0, \"target\": 6}, {\"weight\": 3238, \"source\": 0, \"target\": 1}, {\"weight\": 12994, \"source\": 0, \"target\": 5}, {\"weight\": 18090, \"source\": 0, \"target\": 2}, {\"weight\": 7767, \"source\": 0, \"target\": 7}, {\"weight\": 8618, \"source\": 1, \"target\": 3}, {\"weight\": 4052, \"source\": 1, \"target\": 4}, {\"weight\": 10775, \"source\": 1, \"target\": 8}, {\"weight\": 9280, \"source\": 1, \"target\": 6}, {\"weight\": 13721, \"source\": 1, \"target\": 5}, {\"weight\": 15217, \"source\": 1, \"target\": 2}, {\"weight\": 8988, \"source\": 1, \"target\": 7}, {\"weight\": 12944, \"source\": 2, \"target\": 3}, {\"weight\": 16726, \"source\": 2, \"target\": 4}, {\"weight\": 11882, \"source\": 2, \"target\": 8}, {\"weight\": 14763, \"source\": 2, \"target\": 6}, {\"weight\": 7754, \"source\": 2, \"target\": 5}, {\"weight\": 13418, \"source\": 2, \"target\": 7}, {\"weight\": 11456, \"source\": 3, \"target\": 4}, {\"weight\": 2942, \"source\": 3, \"target\": 8}, {\"weight\": 2366, \"source\": 3, \"target\": 6}, {\"weight\": 5882, \"source\": 3, \"target\": 5}, {\"weight\": 1560, \"source\": 3, \"target\": 7}, {\"weight\": 13730, \"source\": 4, \"target\": 8}, {\"weight\": 12508, \"source\": 4, \"target\": 6}, {\"weight\": 16559, \"source\": 4, \"target\": 5}, {\"weight\": 12011, \"source\": 4, \"target\": 7}, {\"weight\": 4164, \"source\": 5, \"target\": 8}, {\"weight\": 7049, \"source\": 5, \"target\": 6}, {\"weight\": 5786, \"source\": 5, \"target\": 7}, {\"weight\": 3204, \"source\": 6, \"target\": 8}, {\"weight\": 1728, \"source\": 6, \"target\": 7}, {\"weight\": 2195, \"source\": 7, \"target\": 8}]}",
"id": 1044,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CSG, FCA, PHE, VXO, PHO, KHI, VGO, ZQW, BJV\n- Travel distances (in kilometers) between each pair of airports:\nCSG to VXO: 7682\nCSG to PHO: 6754\nCSG to BJV: 9591\nCSG to VGO: 7559\nCSG to FCA: 3238\nCSG to KHI: 12994\nCSG to PHE: 18090\nCSG to ZQW: 7767\nFCA to VXO: 8618\nFCA to PHO: 4052\nFCA to BJV: 10775\nFCA to VGO: 9280\nFCA to KHI: 13721\nFCA to PHE: 15217\nFCA to ZQW: 8988\nPHE to VXO: 12944\nPHE to PHO: 16726\nPHE to BJV: 11882\nPHE to VGO: 14763\nPHE to KHI: 7754\nPHE to ZQW: 13418\nVXO to PHO: 11456\nVXO to BJV: 2942\nVXO to VGO: 2366\nVXO to KHI: 5882\nVXO to ZQW: 1560\nPHO to BJV: 13730\nPHO to VGO: 12508\nPHO to KHI: 16559\nPHO to ZQW: 12011\nKHI to BJV: 4164\nKHI to VGO: 7049\nKHI to ZQW: 5786\nVGO to BJV: 3204\nVGO to ZQW: 1728\nZQW to BJV: 2195\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: XQP, NNB, YFO, LNK, KIH, PPP, PXO, KAN, NSK\n- Travel distances (in kilometers) between each pair of airports:\nXQP to KIH: 14123\nXQP to LNK: 4383\nXQP to PXO: 9376\nXQP to NNB: 15735\nXQP to PPP: 16871\nXQP to YFO: 5381\nXQP to KAN: 12076\nXQP to NSK: 13307\nNNB to KIH: 12693\nNNB to LNK: 13356\nNNB to PXO: 18687\nNNB to PPP: 3329\nNNB to YFO: 14332\nNNB to KAN: 17432\nNNB to NSK: 12506\nYFO to KIH: 12991\nYFO to LNK: 1776\nYFO to PXO: 8569\nYFO to PPP: 15272\nYFO to KAN: 11633\nYFO to NSK: 11823\nLNK to KIH: 12279\nLNK to PXO: 8090\nLNK to PPP: 14492\nLNK to KAN: 11154\nLNK to NSK: 11091\nKIH to PXO: 6985\nKIH to PPP: 13072\nKIH to KAN: 5278\nKIH to NSK: 5630\nPPP to PXO: 19752\nPPP to KAN: 17465\nPPP to NSK: 13365\nPXO to KAN: 5055\nPXO to NSK: 7306\nKAN to NSK: 8367\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 62524,
"style": "rule"
}
|
{
"exact_answer": 62524,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"XQP\", \"id\": 0}, {\"name\": \"NNB\", \"id\": 1}, {\"name\": \"YFO\", \"id\": 2}, {\"name\": \"LNK\", \"id\": 3}, {\"name\": \"KIH\", \"id\": 4}, {\"name\": \"PPP\", \"id\": 5}, {\"name\": \"PXO\", \"id\": 6}, {\"name\": \"KAN\", \"id\": 7}, {\"name\": \"NSK\", \"id\": 8}], \"links\": [{\"weight\": 14123, \"source\": 0, \"target\": 4}, {\"weight\": 4383, \"source\": 0, \"target\": 3}, {\"weight\": 9376, \"source\": 0, \"target\": 6}, {\"weight\": 15735, \"source\": 0, \"target\": 1}, {\"weight\": 16871, \"source\": 0, \"target\": 5}, {\"weight\": 5381, \"source\": 0, \"target\": 2}, {\"weight\": 12076, \"source\": 0, \"target\": 7}, {\"weight\": 13307, \"source\": 0, \"target\": 8}, {\"weight\": 12693, \"source\": 1, \"target\": 4}, {\"weight\": 13356, \"source\": 1, \"target\": 3}, {\"weight\": 18687, \"source\": 1, \"target\": 6}, {\"weight\": 3329, \"source\": 1, \"target\": 5}, {\"weight\": 14332, \"source\": 1, \"target\": 2}, {\"weight\": 17432, \"source\": 1, \"target\": 7}, {\"weight\": 12506, \"source\": 1, \"target\": 8}, {\"weight\": 12991, \"source\": 2, \"target\": 4}, {\"weight\": 1776, \"source\": 2, \"target\": 3}, {\"weight\": 8569, \"source\": 2, \"target\": 6}, {\"weight\": 15272, \"source\": 2, \"target\": 5}, {\"weight\": 11633, \"source\": 2, \"target\": 7}, {\"weight\": 11823, \"source\": 2, \"target\": 8}, {\"weight\": 12279, \"source\": 3, \"target\": 4}, {\"weight\": 8090, \"source\": 3, \"target\": 6}, {\"weight\": 14492, \"source\": 3, \"target\": 5}, {\"weight\": 11154, \"source\": 3, \"target\": 7}, {\"weight\": 11091, \"source\": 3, \"target\": 8}, {\"weight\": 6985, \"source\": 4, \"target\": 6}, {\"weight\": 13072, \"source\": 4, \"target\": 5}, {\"weight\": 5278, \"source\": 4, \"target\": 7}, {\"weight\": 5630, \"source\": 4, \"target\": 8}, {\"weight\": 19752, \"source\": 5, \"target\": 6}, {\"weight\": 17465, \"source\": 5, \"target\": 7}, {\"weight\": 13365, \"source\": 5, \"target\": 8}, {\"weight\": 5055, \"source\": 6, \"target\": 7}, {\"weight\": 7306, \"source\": 6, \"target\": 8}, {\"weight\": 8367, \"source\": 7, \"target\": 8}]}",
"id": 1045,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: XQP, NNB, YFO, LNK, KIH, PPP, PXO, KAN, NSK\n- Travel distances (in kilometers) between each pair of airports:\nXQP to KIH: 14123\nXQP to LNK: 4383\nXQP to PXO: 9376\nXQP to NNB: 15735\nXQP to PPP: 16871\nXQP to YFO: 5381\nXQP to KAN: 12076\nXQP to NSK: 13307\nNNB to KIH: 12693\nNNB to LNK: 13356\nNNB to PXO: 18687\nNNB to PPP: 3329\nNNB to YFO: 14332\nNNB to KAN: 17432\nNNB to NSK: 12506\nYFO to KIH: 12991\nYFO to LNK: 1776\nYFO to PXO: 8569\nYFO to PPP: 15272\nYFO to KAN: 11633\nYFO to NSK: 11823\nLNK to KIH: 12279\nLNK to PXO: 8090\nLNK to PPP: 14492\nLNK to KAN: 11154\nLNK to NSK: 11091\nKIH to PXO: 6985\nKIH to PPP: 13072\nKIH to KAN: 5278\nKIH to NSK: 5630\nPPP to PXO: 19752\nPPP to KAN: 17465\nPPP to NSK: 13365\nPXO to KAN: 5055\nPXO to NSK: 7306\nKAN to NSK: 8367\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: FYU, TSA, FMI, YRT, CMU, IUI, KKH, HFT, XMH\n- Travel distances (in kilometers) between each pair of airports:\nFYU to TSA: 12496\nFYU to KKH: 1392\nFYU to YRT: 5740\nFYU to FMI: 18754\nFYU to IUI: 10941\nFYU to CMU: 14068\nFYU to XMH: 10049\nFYU to HFT: 11117\nTSA to KKH: 12878\nTSA to YRT: 12617\nTSA to FMI: 14016\nTSA to IUI: 12904\nTSA to CMU: 5602\nTSA to XMH: 12397\nTSA to HFT: 9550\nFMI to KKH: 18854\nFMI to YRT: 15928\nFMI to IUI: 12902\nFMI to CMU: 17803\nFMI to XMH: 20355\nFMI to HFT: 10806\nYRT to KKH: 6122\nYRT to IUI: 9516\nYRT to CMU: 15872\nYRT to XMH: 11078\nYRT to HFT: 9692\nCMU to KKH: 14168\nCMU to IUI: 18210\nCMU to XMH: 8815\nCMU to HFT: 14804\nIUI to KKH: 11323\nIUI to XMH: 16673\nIUI to HFT: 5058\nKKH to XMH: 10149\nKKH to HFT: 11499\nHFT to XMH: 16849\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 71094,
"style": "rule"
}
|
{
"exact_answer": 71094,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"FYU\", \"id\": 0}, {\"name\": \"TSA\", \"id\": 1}, {\"name\": \"FMI\", \"id\": 2}, {\"name\": \"YRT\", \"id\": 3}, {\"name\": \"CMU\", \"id\": 4}, {\"name\": \"IUI\", \"id\": 5}, {\"name\": \"KKH\", \"id\": 6}, {\"name\": \"HFT\", \"id\": 7}, {\"name\": \"XMH\", \"id\": 8}], \"links\": [{\"weight\": 12496, \"source\": 0, \"target\": 1}, {\"weight\": 1392, \"source\": 0, \"target\": 6}, {\"weight\": 5740, \"source\": 0, \"target\": 3}, {\"weight\": 18754, \"source\": 0, \"target\": 2}, {\"weight\": 10941, \"source\": 0, \"target\": 5}, {\"weight\": 14068, \"source\": 0, \"target\": 4}, {\"weight\": 10049, \"source\": 0, \"target\": 8}, {\"weight\": 11117, \"source\": 0, \"target\": 7}, {\"weight\": 12878, \"source\": 1, \"target\": 6}, {\"weight\": 12617, \"source\": 1, \"target\": 3}, {\"weight\": 14016, \"source\": 1, \"target\": 2}, {\"weight\": 12904, \"source\": 1, \"target\": 5}, {\"weight\": 5602, \"source\": 1, \"target\": 4}, {\"weight\": 12397, \"source\": 1, \"target\": 8}, {\"weight\": 9550, \"source\": 1, \"target\": 7}, {\"weight\": 18854, \"source\": 2, \"target\": 6}, {\"weight\": 15928, \"source\": 2, \"target\": 3}, {\"weight\": 12902, \"source\": 2, \"target\": 5}, {\"weight\": 17803, \"source\": 2, \"target\": 4}, {\"weight\": 20355, \"source\": 2, \"target\": 8}, {\"weight\": 10806, \"source\": 2, \"target\": 7}, {\"weight\": 6122, \"source\": 3, \"target\": 6}, {\"weight\": 9516, \"source\": 3, \"target\": 5}, {\"weight\": 15872, \"source\": 3, \"target\": 4}, {\"weight\": 11078, \"source\": 3, \"target\": 8}, {\"weight\": 9692, \"source\": 3, \"target\": 7}, {\"weight\": 14168, \"source\": 4, \"target\": 6}, {\"weight\": 18210, \"source\": 4, \"target\": 5}, {\"weight\": 8815, \"source\": 4, \"target\": 8}, {\"weight\": 14804, \"source\": 4, \"target\": 7}, {\"weight\": 11323, \"source\": 5, \"target\": 6}, {\"weight\": 16673, \"source\": 5, \"target\": 8}, {\"weight\": 5058, \"source\": 5, \"target\": 7}, {\"weight\": 10149, \"source\": 6, \"target\": 8}, {\"weight\": 11499, \"source\": 6, \"target\": 7}, {\"weight\": 16849, \"source\": 7, \"target\": 8}]}",
"id": 1046,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: FYU, TSA, FMI, YRT, CMU, IUI, KKH, HFT, XMH\n- Travel distances (in kilometers) between each pair of airports:\nFYU to TSA: 12496\nFYU to KKH: 1392\nFYU to YRT: 5740\nFYU to FMI: 18754\nFYU to IUI: 10941\nFYU to CMU: 14068\nFYU to XMH: 10049\nFYU to HFT: 11117\nTSA to KKH: 12878\nTSA to YRT: 12617\nTSA to FMI: 14016\nTSA to IUI: 12904\nTSA to CMU: 5602\nTSA to XMH: 12397\nTSA to HFT: 9550\nFMI to KKH: 18854\nFMI to YRT: 15928\nFMI to IUI: 12902\nFMI to CMU: 17803\nFMI to XMH: 20355\nFMI to HFT: 10806\nYRT to KKH: 6122\nYRT to IUI: 9516\nYRT to CMU: 15872\nYRT to XMH: 11078\nYRT to HFT: 9692\nCMU to KKH: 14168\nCMU to IUI: 18210\nCMU to XMH: 8815\nCMU to HFT: 14804\nIUI to KKH: 11323\nIUI to XMH: 16673\nIUI to HFT: 5058\nKKH to XMH: 10149\nKKH to HFT: 11499\nHFT to XMH: 16849\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TNG, MXH, TJQ, SMR, HRM, KAL, SUJ, EVV, TYR\n- Travel distances (in kilometers) between each pair of airports:\nTNG to KAL: 12186\nTNG to EVV: 7108\nTNG to TYR: 8238\nTNG to HRM: 1707\nTNG to SMR: 8534\nTNG to SUJ: 3336\nTNG to MXH: 16624\nTNG to TJQ: 12614\nMXH to KAL: 14469\nMXH to EVV: 15851\nMXH to TYR: 14983\nMXH to HRM: 16281\nMXH to SMR: 18790\nMXH to SUJ: 14503\nMXH to TJQ: 5450\nTJQ to KAL: 16814\nTJQ to EVV: 16338\nTJQ to TYR: 16625\nTJQ to HRM: 12052\nTJQ to SMR: 20627\nTJQ to SUJ: 10323\nSMR to KAL: 9965\nSMR to EVV: 4330\nSMR to TYR: 4228\nSMR to HRM: 9644\nSMR to SUJ: 11459\nHRM to KAL: 12733\nHRM to EVV: 8127\nHRM to TYR: 9279\nHRM to SUJ: 2967\nKAL to EVV: 5951\nKAL to TYR: 5818\nKAL to SUJ: 12919\nSUJ to EVV: 9116\nSUJ to TYR: 10252\nEVV to TYR: 1196\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 54794,
"style": "rule"
}
|
{
"exact_answer": 54794,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"TNG\", \"id\": 0}, {\"name\": \"MXH\", \"id\": 1}, {\"name\": \"TJQ\", \"id\": 2}, {\"name\": \"SMR\", \"id\": 3}, {\"name\": \"HRM\", \"id\": 4}, {\"name\": \"KAL\", \"id\": 5}, {\"name\": \"SUJ\", \"id\": 6}, {\"name\": \"EVV\", \"id\": 7}, {\"name\": \"TYR\", \"id\": 8}], \"links\": [{\"weight\": 12186, \"source\": 0, \"target\": 5}, {\"weight\": 7108, \"source\": 0, \"target\": 7}, {\"weight\": 8238, \"source\": 0, \"target\": 8}, {\"weight\": 1707, \"source\": 0, \"target\": 4}, {\"weight\": 8534, \"source\": 0, \"target\": 3}, {\"weight\": 3336, \"source\": 0, \"target\": 6}, {\"weight\": 16624, \"source\": 0, \"target\": 1}, {\"weight\": 12614, \"source\": 0, \"target\": 2}, {\"weight\": 14469, \"source\": 1, \"target\": 5}, {\"weight\": 15851, \"source\": 1, \"target\": 7}, {\"weight\": 14983, \"source\": 1, \"target\": 8}, {\"weight\": 16281, \"source\": 1, \"target\": 4}, {\"weight\": 18790, \"source\": 1, \"target\": 3}, {\"weight\": 14503, \"source\": 1, \"target\": 6}, {\"weight\": 5450, \"source\": 1, \"target\": 2}, {\"weight\": 16814, \"source\": 2, \"target\": 5}, {\"weight\": 16338, \"source\": 2, \"target\": 7}, {\"weight\": 16625, \"source\": 2, \"target\": 8}, {\"weight\": 12052, \"source\": 2, \"target\": 4}, {\"weight\": 20627, \"source\": 2, \"target\": 3}, {\"weight\": 10323, \"source\": 2, \"target\": 6}, {\"weight\": 9965, \"source\": 3, \"target\": 5}, {\"weight\": 4330, \"source\": 3, \"target\": 7}, {\"weight\": 4228, \"source\": 3, \"target\": 8}, {\"weight\": 9644, \"source\": 3, \"target\": 4}, {\"weight\": 11459, \"source\": 3, \"target\": 6}, {\"weight\": 12733, \"source\": 4, \"target\": 5}, {\"weight\": 8127, \"source\": 4, \"target\": 7}, {\"weight\": 9279, \"source\": 4, \"target\": 8}, {\"weight\": 2967, \"source\": 4, \"target\": 6}, {\"weight\": 5951, \"source\": 5, \"target\": 7}, {\"weight\": 5818, \"source\": 5, \"target\": 8}, {\"weight\": 12919, \"source\": 5, \"target\": 6}, {\"weight\": 9116, \"source\": 6, \"target\": 7}, {\"weight\": 10252, \"source\": 6, \"target\": 8}, {\"weight\": 1196, \"source\": 7, \"target\": 8}]}",
"id": 1047,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TNG, MXH, TJQ, SMR, HRM, KAL, SUJ, EVV, TYR\n- Travel distances (in kilometers) between each pair of airports:\nTNG to KAL: 12186\nTNG to EVV: 7108\nTNG to TYR: 8238\nTNG to HRM: 1707\nTNG to SMR: 8534\nTNG to SUJ: 3336\nTNG to MXH: 16624\nTNG to TJQ: 12614\nMXH to KAL: 14469\nMXH to EVV: 15851\nMXH to TYR: 14983\nMXH to HRM: 16281\nMXH to SMR: 18790\nMXH to SUJ: 14503\nMXH to TJQ: 5450\nTJQ to KAL: 16814\nTJQ to EVV: 16338\nTJQ to TYR: 16625\nTJQ to HRM: 12052\nTJQ to SMR: 20627\nTJQ to SUJ: 10323\nSMR to KAL: 9965\nSMR to EVV: 4330\nSMR to TYR: 4228\nSMR to HRM: 9644\nSMR to SUJ: 11459\nHRM to KAL: 12733\nHRM to EVV: 8127\nHRM to TYR: 9279\nHRM to SUJ: 2967\nKAL to EVV: 5951\nKAL to TYR: 5818\nKAL to SUJ: 12919\nSUJ to EVV: 9116\nSUJ to TYR: 10252\nEVV to TYR: 1196\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: EAE, LDE, PLM, MLE, AOK, DAB, KAW, MOF, FIH\n- Travel distances (in kilometers) between each pair of airports:\nEAE to KAW: 10314\nEAE to AOK: 16779\nEAE to LDE: 17939\nEAE to DAB: 13638\nEAE to FIH: 16349\nEAE to MLE: 11088\nEAE to PLM: 7601\nEAE to MOF: 7051\nLDE to KAW: 10106\nLDE to AOK: 2674\nLDE to DAB: 7722\nLDE to FIH: 5918\nLDE to MLE: 8485\nLDE to PLM: 11516\nLDE to MOF: 13537\nPLM to KAW: 3235\nPLM to AOK: 9775\nPLM to DAB: 17091\nPLM to FIH: 10688\nPLM to MLE: 3840\nPLM to MOF: 2104\nMLE to KAW: 4468\nMLE to AOK: 6499\nMLE to DAB: 15579\nMLE to FIH: 8290\nMLE to MOF: 5846\nAOK to KAW: 8574\nAOK to DAB: 9873\nAOK to FIH: 6161\nAOK to MOF: 11807\nDAB to KAW: 16203\nDAB to FIH: 11801\nDAB to MOF: 17978\nKAW to FIH: 10346\nKAW to MOF: 5183\nMOF to FIH: 12590\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 55343,
"style": "rule"
}
|
{
"exact_answer": 55343,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"EAE\", \"id\": 0}, {\"name\": \"LDE\", \"id\": 1}, {\"name\": \"PLM\", \"id\": 2}, {\"name\": \"MLE\", \"id\": 3}, {\"name\": \"AOK\", \"id\": 4}, {\"name\": \"DAB\", \"id\": 5}, {\"name\": \"KAW\", \"id\": 6}, {\"name\": \"MOF\", \"id\": 7}, {\"name\": \"FIH\", \"id\": 8}], \"links\": [{\"weight\": 10314, \"source\": 0, \"target\": 6}, {\"weight\": 16779, \"source\": 0, \"target\": 4}, {\"weight\": 17939, \"source\": 0, \"target\": 1}, {\"weight\": 13638, \"source\": 0, \"target\": 5}, {\"weight\": 16349, \"source\": 0, \"target\": 8}, {\"weight\": 11088, \"source\": 0, \"target\": 3}, {\"weight\": 7601, \"source\": 0, \"target\": 2}, {\"weight\": 7051, \"source\": 0, \"target\": 7}, {\"weight\": 10106, \"source\": 1, \"target\": 6}, {\"weight\": 2674, \"source\": 1, \"target\": 4}, {\"weight\": 7722, \"source\": 1, \"target\": 5}, {\"weight\": 5918, \"source\": 1, \"target\": 8}, {\"weight\": 8485, \"source\": 1, \"target\": 3}, {\"weight\": 11516, \"source\": 1, \"target\": 2}, {\"weight\": 13537, \"source\": 1, \"target\": 7}, {\"weight\": 3235, \"source\": 2, \"target\": 6}, {\"weight\": 9775, \"source\": 2, \"target\": 4}, {\"weight\": 17091, \"source\": 2, \"target\": 5}, {\"weight\": 10688, \"source\": 2, \"target\": 8}, {\"weight\": 3840, \"source\": 2, \"target\": 3}, {\"weight\": 2104, \"source\": 2, \"target\": 7}, {\"weight\": 4468, \"source\": 3, \"target\": 6}, {\"weight\": 6499, \"source\": 3, \"target\": 4}, {\"weight\": 15579, \"source\": 3, \"target\": 5}, {\"weight\": 8290, \"source\": 3, \"target\": 8}, {\"weight\": 5846, \"source\": 3, \"target\": 7}, {\"weight\": 8574, \"source\": 4, \"target\": 6}, {\"weight\": 9873, \"source\": 4, \"target\": 5}, {\"weight\": 6161, \"source\": 4, \"target\": 8}, {\"weight\": 11807, \"source\": 4, \"target\": 7}, {\"weight\": 16203, \"source\": 5, \"target\": 6}, {\"weight\": 11801, \"source\": 5, \"target\": 8}, {\"weight\": 17978, \"source\": 5, \"target\": 7}, {\"weight\": 10346, \"source\": 6, \"target\": 8}, {\"weight\": 5183, \"source\": 6, \"target\": 7}, {\"weight\": 12590, \"source\": 7, \"target\": 8}]}",
"id": 1048,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: EAE, LDE, PLM, MLE, AOK, DAB, KAW, MOF, FIH\n- Travel distances (in kilometers) between each pair of airports:\nEAE to KAW: 10314\nEAE to AOK: 16779\nEAE to LDE: 17939\nEAE to DAB: 13638\nEAE to FIH: 16349\nEAE to MLE: 11088\nEAE to PLM: 7601\nEAE to MOF: 7051\nLDE to KAW: 10106\nLDE to AOK: 2674\nLDE to DAB: 7722\nLDE to FIH: 5918\nLDE to MLE: 8485\nLDE to PLM: 11516\nLDE to MOF: 13537\nPLM to KAW: 3235\nPLM to AOK: 9775\nPLM to DAB: 17091\nPLM to FIH: 10688\nPLM to MLE: 3840\nPLM to MOF: 2104\nMLE to KAW: 4468\nMLE to AOK: 6499\nMLE to DAB: 15579\nMLE to FIH: 8290\nMLE to MOF: 5846\nAOK to KAW: 8574\nAOK to DAB: 9873\nAOK to FIH: 6161\nAOK to MOF: 11807\nDAB to KAW: 16203\nDAB to FIH: 11801\nDAB to MOF: 17978\nKAW to FIH: 10346\nKAW to MOF: 5183\nMOF to FIH: 12590\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, MLY, MDW, LDE, PIA, APO, VLV, IFJ, BAH\n- Travel distances (in kilometers) between each pair of airports:\nBDH to MLY: 14671\nBDH to APO: 14063\nBDH to VLV: 13033\nBDH to BAH: 638\nBDH to LDE: 5336\nBDH to PIA: 11915\nBDH to MDW: 11791\nBDH to IFJ: 9911\nMLY to APO: 9439\nMLY to VLV: 9585\nMLY to BAH: 15007\nMLY to LDE: 11256\nMLY to PIA: 5142\nMLY to MDW: 5152\nMLY to IFJ: 11453\nMDW to APO: 4707\nMDW to VLV: 4467\nMDW to BAH: 11464\nMDW to LDE: 7211\nMDW to PIA: 921\nMDW to IFJ: 7928\nLDE to APO: 8877\nLDE to VLV: 7847\nLDE to BAH: 5029\nLDE to PIA: 7374\nLDE to IFJ: 5901\nPIA to APO: 4665\nPIA to VLV: 4446\nPIA to BAH: 11560\nPIA to IFJ: 8117\nAPO to VLV: 1870\nAPO to BAH: 13632\nAPO to IFJ: 11614\nVLV to BAH: 12602\nVLV to IFJ: 10898\nIFJ to BAH: 9593\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 47475,
"style": "rule"
}
|
{
"exact_answer": 47475,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"BDH\", \"id\": 0}, {\"name\": \"MLY\", \"id\": 1}, {\"name\": \"MDW\", \"id\": 2}, {\"name\": \"LDE\", \"id\": 3}, {\"name\": \"PIA\", \"id\": 4}, {\"name\": \"APO\", \"id\": 5}, {\"name\": \"VLV\", \"id\": 6}, {\"name\": \"IFJ\", \"id\": 7}, {\"name\": \"BAH\", \"id\": 8}], \"links\": [{\"weight\": 14671, \"source\": 0, \"target\": 1}, {\"weight\": 14063, \"source\": 0, \"target\": 5}, {\"weight\": 13033, \"source\": 0, \"target\": 6}, {\"weight\": 638, \"source\": 0, \"target\": 8}, {\"weight\": 5336, \"source\": 0, \"target\": 3}, {\"weight\": 11915, \"source\": 0, \"target\": 4}, {\"weight\": 11791, \"source\": 0, \"target\": 2}, {\"weight\": 9911, \"source\": 0, \"target\": 7}, {\"weight\": 9439, \"source\": 1, \"target\": 5}, {\"weight\": 9585, \"source\": 1, \"target\": 6}, {\"weight\": 15007, \"source\": 1, \"target\": 8}, {\"weight\": 11256, \"source\": 1, \"target\": 3}, {\"weight\": 5142, \"source\": 1, \"target\": 4}, {\"weight\": 5152, \"source\": 1, \"target\": 2}, {\"weight\": 11453, \"source\": 1, \"target\": 7}, {\"weight\": 4707, \"source\": 2, \"target\": 5}, {\"weight\": 4467, \"source\": 2, \"target\": 6}, {\"weight\": 11464, \"source\": 2, \"target\": 8}, {\"weight\": 7211, \"source\": 2, \"target\": 3}, {\"weight\": 921, \"source\": 2, \"target\": 4}, {\"weight\": 7928, \"source\": 2, \"target\": 7}, {\"weight\": 8877, \"source\": 3, \"target\": 5}, {\"weight\": 7847, \"source\": 3, \"target\": 6}, {\"weight\": 5029, \"source\": 3, \"target\": 8}, {\"weight\": 7374, \"source\": 3, \"target\": 4}, {\"weight\": 5901, \"source\": 3, \"target\": 7}, {\"weight\": 4665, \"source\": 4, \"target\": 5}, {\"weight\": 4446, \"source\": 4, \"target\": 6}, {\"weight\": 11560, \"source\": 4, \"target\": 8}, {\"weight\": 8117, \"source\": 4, \"target\": 7}, {\"weight\": 1870, \"source\": 5, \"target\": 6}, {\"weight\": 13632, \"source\": 5, \"target\": 8}, {\"weight\": 11614, \"source\": 5, \"target\": 7}, {\"weight\": 12602, \"source\": 6, \"target\": 8}, {\"weight\": 10898, \"source\": 6, \"target\": 7}, {\"weight\": 9593, \"source\": 7, \"target\": 8}]}",
"id": 1049,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, MLY, MDW, LDE, PIA, APO, VLV, IFJ, BAH\n- Travel distances (in kilometers) between each pair of airports:\nBDH to MLY: 14671\nBDH to APO: 14063\nBDH to VLV: 13033\nBDH to BAH: 638\nBDH to LDE: 5336\nBDH to PIA: 11915\nBDH to MDW: 11791\nBDH to IFJ: 9911\nMLY to APO: 9439\nMLY to VLV: 9585\nMLY to BAH: 15007\nMLY to LDE: 11256\nMLY to PIA: 5142\nMLY to MDW: 5152\nMLY to IFJ: 11453\nMDW to APO: 4707\nMDW to VLV: 4467\nMDW to BAH: 11464\nMDW to LDE: 7211\nMDW to PIA: 921\nMDW to IFJ: 7928\nLDE to APO: 8877\nLDE to VLV: 7847\nLDE to BAH: 5029\nLDE to PIA: 7374\nLDE to IFJ: 5901\nPIA to APO: 4665\nPIA to VLV: 4446\nPIA to BAH: 11560\nPIA to IFJ: 8117\nAPO to VLV: 1870\nAPO to BAH: 13632\nAPO to IFJ: 11614\nVLV to BAH: 12602\nVLV to IFJ: 10898\nIFJ to BAH: 9593\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: OAG, CZE, YRG, RFD, DNH, CEC, SPI, KLV, ASM\n- Travel distances (in kilometers) between each pair of airports:\nOAG to DNH: 10311\nOAG to SPI: 15021\nOAG to RFD: 14976\nOAG to ASM: 14041\nOAG to KLV: 16468\nOAG to CEC: 12637\nOAG to CZE: 16751\nOAG to YRG: 17780\nCZE to DNH: 14841\nCZE to SPI: 4294\nCZE to RFD: 4493\nCZE to ASM: 12376\nCZE to KLV: 11431\nCZE to CEC: 6950\nCZE to YRG: 5287\nYRG to DNH: 11678\nYRG to SPI: 3037\nYRG to RFD: 5176\nYRG to ASM: 10058\nYRG to KLV: 8349\nYRG to CEC: 5938\nRFD to DNH: 14525\nRFD to SPI: 3103\nRFD to ASM: 13986\nRFD to KLV: 11564\nRFD to CEC: 3396\nDNH to SPI: 12816\nDNH to ASM: 6502\nDNH to KLV: 6207\nDNH to CEC: 12097\nCEC to SPI: 3560\nCEC to ASM: 14311\nCEC to KLV: 11478\nSPI to ASM: 11972\nSPI to KLV: 9354\nKLV to ASM: 6319\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 59338,
"style": "rule"
}
|
{
"exact_answer": 59338,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"OAG\", \"id\": 0}, {\"name\": \"CZE\", \"id\": 1}, {\"name\": \"YRG\", \"id\": 2}, {\"name\": \"RFD\", \"id\": 3}, {\"name\": \"DNH\", \"id\": 4}, {\"name\": \"CEC\", \"id\": 5}, {\"name\": \"SPI\", \"id\": 6}, {\"name\": \"KLV\", \"id\": 7}, {\"name\": \"ASM\", \"id\": 8}], \"links\": [{\"weight\": 10311, \"source\": 0, \"target\": 4}, {\"weight\": 15021, \"source\": 0, \"target\": 6}, {\"weight\": 14976, \"source\": 0, \"target\": 3}, {\"weight\": 14041, \"source\": 0, \"target\": 8}, {\"weight\": 16468, \"source\": 0, \"target\": 7}, {\"weight\": 12637, \"source\": 0, \"target\": 5}, {\"weight\": 16751, \"source\": 0, \"target\": 1}, {\"weight\": 17780, \"source\": 0, \"target\": 2}, {\"weight\": 14841, \"source\": 1, \"target\": 4}, {\"weight\": 4294, \"source\": 1, \"target\": 6}, {\"weight\": 4493, \"source\": 1, \"target\": 3}, {\"weight\": 12376, \"source\": 1, \"target\": 8}, {\"weight\": 11431, \"source\": 1, \"target\": 7}, {\"weight\": 6950, \"source\": 1, \"target\": 5}, {\"weight\": 5287, \"source\": 1, \"target\": 2}, {\"weight\": 11678, \"source\": 2, \"target\": 4}, {\"weight\": 3037, \"source\": 2, \"target\": 6}, {\"weight\": 5176, \"source\": 2, \"target\": 3}, {\"weight\": 10058, \"source\": 2, \"target\": 8}, {\"weight\": 8349, \"source\": 2, \"target\": 7}, {\"weight\": 5938, \"source\": 2, \"target\": 5}, {\"weight\": 14525, \"source\": 3, \"target\": 4}, {\"weight\": 3103, \"source\": 3, \"target\": 6}, {\"weight\": 13986, \"source\": 3, \"target\": 8}, {\"weight\": 11564, \"source\": 3, \"target\": 7}, {\"weight\": 3396, \"source\": 3, \"target\": 5}, {\"weight\": 12816, \"source\": 4, \"target\": 6}, {\"weight\": 6502, \"source\": 4, \"target\": 8}, {\"weight\": 6207, \"source\": 4, \"target\": 7}, {\"weight\": 12097, \"source\": 4, \"target\": 5}, {\"weight\": 3560, \"source\": 5, \"target\": 6}, {\"weight\": 14311, \"source\": 5, \"target\": 8}, {\"weight\": 11478, \"source\": 5, \"target\": 7}, {\"weight\": 11972, \"source\": 6, \"target\": 8}, {\"weight\": 9354, \"source\": 6, \"target\": 7}, {\"weight\": 6319, \"source\": 7, \"target\": 8}]}",
"id": 1050,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: OAG, CZE, YRG, RFD, DNH, CEC, SPI, KLV, ASM\n- Travel distances (in kilometers) between each pair of airports:\nOAG to DNH: 10311\nOAG to SPI: 15021\nOAG to RFD: 14976\nOAG to ASM: 14041\nOAG to KLV: 16468\nOAG to CEC: 12637\nOAG to CZE: 16751\nOAG to YRG: 17780\nCZE to DNH: 14841\nCZE to SPI: 4294\nCZE to RFD: 4493\nCZE to ASM: 12376\nCZE to KLV: 11431\nCZE to CEC: 6950\nCZE to YRG: 5287\nYRG to DNH: 11678\nYRG to SPI: 3037\nYRG to RFD: 5176\nYRG to ASM: 10058\nYRG to KLV: 8349\nYRG to CEC: 5938\nRFD to DNH: 14525\nRFD to SPI: 3103\nRFD to ASM: 13986\nRFD to KLV: 11564\nRFD to CEC: 3396\nDNH to SPI: 12816\nDNH to ASM: 6502\nDNH to KLV: 6207\nDNH to CEC: 12097\nCEC to SPI: 3560\nCEC to ASM: 14311\nCEC to KLV: 11478\nSPI to ASM: 11972\nSPI to KLV: 9354\nKLV to ASM: 6319\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: KLO, AFA, LRR, YAX, UET, RLK, GRO, SVK, CXF\n- Travel distances (in kilometers) between each pair of airports:\nKLO to CXF: 13868\nKLO to AFA: 19710\nKLO to RLK: 3649\nKLO to LRR: 7538\nKLO to GRO: 11490\nKLO to UET: 6367\nKLO to SVK: 15693\nKLO to YAX: 13307\nAFA to CXF: 14939\nAFA to RLK: 19829\nAFA to LRR: 14830\nAFA to GRO: 11460\nAFA to UET: 16079\nAFA to SVK: 7720\nAFA to YAX: 11685\nLRR to CXF: 15028\nLRR to RLK: 5728\nLRR to GRO: 4959\nLRR to UET: 1531\nLRR to SVK: 13708\nLRR to YAX: 12526\nYAX to CXF: 5504\nYAX to RLK: 11908\nYAX to GRO: 8269\nYAX to UET: 13241\nYAX to SVK: 4643\nUET to CXF: 16081\nUET to RLK: 4327\nUET to GRO: 5854\nUET to SVK: 14603\nRLK to CXF: 12274\nRLK to GRO: 8612\nRLK to SVK: 13997\nGRO to CXF: 11576\nGRO to SVK: 9253\nSVK to CXF: 7489\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 57661,
"style": "rule"
}
|
{
"exact_answer": 57661,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"KLO\", \"id\": 0}, {\"name\": \"AFA\", \"id\": 1}, {\"name\": \"LRR\", \"id\": 2}, {\"name\": \"YAX\", \"id\": 3}, {\"name\": \"UET\", \"id\": 4}, {\"name\": \"RLK\", \"id\": 5}, {\"name\": \"GRO\", \"id\": 6}, {\"name\": \"SVK\", \"id\": 7}, {\"name\": \"CXF\", \"id\": 8}], \"links\": [{\"weight\": 13868, \"source\": 0, \"target\": 8}, {\"weight\": 19710, \"source\": 0, \"target\": 1}, {\"weight\": 3649, \"source\": 0, \"target\": 5}, {\"weight\": 7538, \"source\": 0, \"target\": 2}, {\"weight\": 11490, \"source\": 0, \"target\": 6}, {\"weight\": 6367, \"source\": 0, \"target\": 4}, {\"weight\": 15693, \"source\": 0, \"target\": 7}, {\"weight\": 13307, \"source\": 0, \"target\": 3}, {\"weight\": 14939, \"source\": 1, \"target\": 8}, {\"weight\": 19829, \"source\": 1, \"target\": 5}, {\"weight\": 14830, \"source\": 1, \"target\": 2}, {\"weight\": 11460, \"source\": 1, \"target\": 6}, {\"weight\": 16079, \"source\": 1, \"target\": 4}, {\"weight\": 7720, \"source\": 1, \"target\": 7}, {\"weight\": 11685, \"source\": 1, \"target\": 3}, {\"weight\": 15028, \"source\": 2, \"target\": 8}, {\"weight\": 5728, \"source\": 2, \"target\": 5}, {\"weight\": 4959, \"source\": 2, \"target\": 6}, {\"weight\": 1531, \"source\": 2, \"target\": 4}, {\"weight\": 13708, \"source\": 2, \"target\": 7}, {\"weight\": 12526, \"source\": 2, \"target\": 3}, {\"weight\": 5504, \"source\": 3, \"target\": 8}, {\"weight\": 11908, \"source\": 3, \"target\": 5}, {\"weight\": 8269, \"source\": 3, \"target\": 6}, {\"weight\": 13241, \"source\": 3, \"target\": 4}, {\"weight\": 4643, \"source\": 3, \"target\": 7}, {\"weight\": 16081, \"source\": 4, \"target\": 8}, {\"weight\": 4327, \"source\": 4, \"target\": 5}, {\"weight\": 5854, \"source\": 4, \"target\": 6}, {\"weight\": 14603, \"source\": 4, \"target\": 7}, {\"weight\": 12274, \"source\": 5, \"target\": 8}, {\"weight\": 8612, \"source\": 5, \"target\": 6}, {\"weight\": 13997, \"source\": 5, \"target\": 7}, {\"weight\": 11576, \"source\": 6, \"target\": 8}, {\"weight\": 9253, \"source\": 6, \"target\": 7}, {\"weight\": 7489, \"source\": 7, \"target\": 8}]}",
"id": 1051,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: KLO, AFA, LRR, YAX, UET, RLK, GRO, SVK, CXF\n- Travel distances (in kilometers) between each pair of airports:\nKLO to CXF: 13868\nKLO to AFA: 19710\nKLO to RLK: 3649\nKLO to LRR: 7538\nKLO to GRO: 11490\nKLO to UET: 6367\nKLO to SVK: 15693\nKLO to YAX: 13307\nAFA to CXF: 14939\nAFA to RLK: 19829\nAFA to LRR: 14830\nAFA to GRO: 11460\nAFA to UET: 16079\nAFA to SVK: 7720\nAFA to YAX: 11685\nLRR to CXF: 15028\nLRR to RLK: 5728\nLRR to GRO: 4959\nLRR to UET: 1531\nLRR to SVK: 13708\nLRR to YAX: 12526\nYAX to CXF: 5504\nYAX to RLK: 11908\nYAX to GRO: 8269\nYAX to UET: 13241\nYAX to SVK: 4643\nUET to CXF: 16081\nUET to RLK: 4327\nUET to GRO: 5854\nUET to SVK: 14603\nRLK to CXF: 12274\nRLK to GRO: 8612\nRLK to SVK: 13997\nGRO to CXF: 11576\nGRO to SVK: 9253\nSVK to CXF: 7489\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TYS, RAR, CPX, ROB, SMR, TLS, YFH, IOQ, ASM\n- Travel distances (in kilometers) between each pair of airports:\nTYS to ROB: 8309\nTYS to TLS: 7188\nTYS to CPX: 2746\nTYS to SMR: 3976\nTYS to IOQ: 7356\nTYS to RAR: 10757\nTYS to ASM: 11873\nTYS to YFH: 2335\nRAR to ROB: 18573\nRAR to TLS: 17176\nRAR to CPX: 13062\nRAR to SMR: 13489\nRAR to IOQ: 16831\nRAR to ASM: 18828\nRAR to YFH: 10990\nCPX to ROB: 8632\nCPX to TLS: 7316\nCPX to SMR: 2564\nCPX to IOQ: 8850\nCPX to ASM: 12073\nCPX to YFH: 4448\nROB to TLS: 4409\nROB to SMR: 9712\nROB to IOQ: 9115\nROB to ASM: 5550\nROB to YFH: 9221\nSMR to TLS: 9134\nSMR to IOQ: 10753\nSMR to ASM: 13687\nSMR to YFH: 6072\nTLS to IOQ: 4919\nTLS to ASM: 4879\nTLS to YFH: 7513\nYFH to IOQ: 7637\nYFH to ASM: 12325\nIOQ to ASM: 9154\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 59754,
"style": "rule"
}
|
{
"exact_answer": 59754,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"TYS\", \"id\": 0}, {\"name\": \"RAR\", \"id\": 1}, {\"name\": \"CPX\", \"id\": 2}, {\"name\": \"ROB\", \"id\": 3}, {\"name\": \"SMR\", \"id\": 4}, {\"name\": \"TLS\", \"id\": 5}, {\"name\": \"YFH\", \"id\": 6}, {\"name\": \"IOQ\", \"id\": 7}, {\"name\": \"ASM\", \"id\": 8}], \"links\": [{\"weight\": 8309, \"source\": 0, \"target\": 3}, {\"weight\": 7188, \"source\": 0, \"target\": 5}, {\"weight\": 2746, \"source\": 0, \"target\": 2}, {\"weight\": 3976, \"source\": 0, \"target\": 4}, {\"weight\": 7356, \"source\": 0, \"target\": 7}, {\"weight\": 10757, \"source\": 0, \"target\": 1}, {\"weight\": 11873, \"source\": 0, \"target\": 8}, {\"weight\": 2335, \"source\": 0, \"target\": 6}, {\"weight\": 18573, \"source\": 1, \"target\": 3}, {\"weight\": 17176, \"source\": 1, \"target\": 5}, {\"weight\": 13062, \"source\": 1, \"target\": 2}, {\"weight\": 13489, \"source\": 1, \"target\": 4}, {\"weight\": 16831, \"source\": 1, \"target\": 7}, {\"weight\": 18828, \"source\": 1, \"target\": 8}, {\"weight\": 10990, \"source\": 1, \"target\": 6}, {\"weight\": 8632, \"source\": 2, \"target\": 3}, {\"weight\": 7316, \"source\": 2, \"target\": 5}, {\"weight\": 2564, \"source\": 2, \"target\": 4}, {\"weight\": 8850, \"source\": 2, \"target\": 7}, {\"weight\": 12073, \"source\": 2, \"target\": 8}, {\"weight\": 4448, \"source\": 2, \"target\": 6}, {\"weight\": 4409, \"source\": 3, \"target\": 5}, {\"weight\": 9712, \"source\": 3, \"target\": 4}, {\"weight\": 9115, \"source\": 3, \"target\": 7}, {\"weight\": 5550, \"source\": 3, \"target\": 8}, {\"weight\": 9221, \"source\": 3, \"target\": 6}, {\"weight\": 9134, \"source\": 4, \"target\": 5}, {\"weight\": 10753, \"source\": 4, \"target\": 7}, {\"weight\": 13687, \"source\": 4, \"target\": 8}, {\"weight\": 6072, \"source\": 4, \"target\": 6}, {\"weight\": 4919, \"source\": 5, \"target\": 7}, {\"weight\": 4879, \"source\": 5, \"target\": 8}, {\"weight\": 7513, \"source\": 5, \"target\": 6}, {\"weight\": 7637, \"source\": 6, \"target\": 7}, {\"weight\": 12325, \"source\": 6, \"target\": 8}, {\"weight\": 9154, \"source\": 7, \"target\": 8}]}",
"id": 1052,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TYS, RAR, CPX, ROB, SMR, TLS, YFH, IOQ, ASM\n- Travel distances (in kilometers) between each pair of airports:\nTYS to ROB: 8309\nTYS to TLS: 7188\nTYS to CPX: 2746\nTYS to SMR: 3976\nTYS to IOQ: 7356\nTYS to RAR: 10757\nTYS to ASM: 11873\nTYS to YFH: 2335\nRAR to ROB: 18573\nRAR to TLS: 17176\nRAR to CPX: 13062\nRAR to SMR: 13489\nRAR to IOQ: 16831\nRAR to ASM: 18828\nRAR to YFH: 10990\nCPX to ROB: 8632\nCPX to TLS: 7316\nCPX to SMR: 2564\nCPX to IOQ: 8850\nCPX to ASM: 12073\nCPX to YFH: 4448\nROB to TLS: 4409\nROB to SMR: 9712\nROB to IOQ: 9115\nROB to ASM: 5550\nROB to YFH: 9221\nSMR to TLS: 9134\nSMR to IOQ: 10753\nSMR to ASM: 13687\nSMR to YFH: 6072\nTLS to IOQ: 4919\nTLS to ASM: 4879\nTLS to YFH: 7513\nYFH to IOQ: 7637\nYFH to ASM: 12325\nIOQ to ASM: 9154\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: MLW, BOI, TUF, QRO, BRW, JOE, XCR, MCV, ASW\n- Travel distances (in kilometers) between each pair of airports:\nMLW to BRW: 14172\nMLW to BOI: 10800\nMLW to QRO: 10660\nMLW to JOE: 7351\nMLW to TUF: 5091\nMLW to XCR: 5387\nMLW to ASW: 6154\nMLW to MCV: 17181\nBOI to BRW: 3909\nBOI to QRO: 3235\nBOI to JOE: 9255\nBOI to TUF: 8833\nBOI to XCR: 9874\nBOI to ASW: 12454\nBOI to MCV: 15247\nTUF to BRW: 11460\nTUF to QRO: 9298\nTUF to JOE: 2646\nTUF to XCR: 2326\nTUF to ASW: 4016\nTUF to MCV: 15126\nQRO to BRW: 7068\nQRO to JOE: 10182\nQRO to XCR: 10071\nQRO to ASW: 13124\nQRO to MCV: 17694\nBRW to JOE: 11882\nBRW to XCR: 13246\nBRW to ASW: 15081\nBRW to MCV: 16755\nJOE to XCR: 4786\nJOE to ASW: 4456\nJOE to MCV: 13215\nXCR to ASW: 5796\nXCR to MCV: 17156\nMCV to ASW: 12113\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 61487,
"style": "rule"
}
|
{
"exact_answer": 61487,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"MLW\", \"id\": 0}, {\"name\": \"BOI\", \"id\": 1}, {\"name\": \"TUF\", \"id\": 2}, {\"name\": \"QRO\", \"id\": 3}, {\"name\": \"BRW\", \"id\": 4}, {\"name\": \"JOE\", \"id\": 5}, {\"name\": \"XCR\", \"id\": 6}, {\"name\": \"MCV\", \"id\": 7}, {\"name\": \"ASW\", \"id\": 8}], \"links\": [{\"weight\": 14172, \"source\": 0, \"target\": 4}, {\"weight\": 10800, \"source\": 0, \"target\": 1}, {\"weight\": 10660, \"source\": 0, \"target\": 3}, {\"weight\": 7351, \"source\": 0, \"target\": 5}, {\"weight\": 5091, \"source\": 0, \"target\": 2}, {\"weight\": 5387, \"source\": 0, \"target\": 6}, {\"weight\": 6154, \"source\": 0, \"target\": 8}, {\"weight\": 17181, \"source\": 0, \"target\": 7}, {\"weight\": 3909, \"source\": 1, \"target\": 4}, {\"weight\": 3235, \"source\": 1, \"target\": 3}, {\"weight\": 9255, \"source\": 1, \"target\": 5}, {\"weight\": 8833, \"source\": 1, \"target\": 2}, {\"weight\": 9874, \"source\": 1, \"target\": 6}, {\"weight\": 12454, \"source\": 1, \"target\": 8}, {\"weight\": 15247, \"source\": 1, \"target\": 7}, {\"weight\": 11460, \"source\": 2, \"target\": 4}, {\"weight\": 9298, \"source\": 2, \"target\": 3}, {\"weight\": 2646, \"source\": 2, \"target\": 5}, {\"weight\": 2326, \"source\": 2, \"target\": 6}, {\"weight\": 4016, \"source\": 2, \"target\": 8}, {\"weight\": 15126, \"source\": 2, \"target\": 7}, {\"weight\": 7068, \"source\": 3, \"target\": 4}, {\"weight\": 10182, \"source\": 3, \"target\": 5}, {\"weight\": 10071, \"source\": 3, \"target\": 6}, {\"weight\": 13124, \"source\": 3, \"target\": 8}, {\"weight\": 17694, \"source\": 3, \"target\": 7}, {\"weight\": 11882, \"source\": 4, \"target\": 5}, {\"weight\": 13246, \"source\": 4, \"target\": 6}, {\"weight\": 15081, \"source\": 4, \"target\": 8}, {\"weight\": 16755, \"source\": 4, \"target\": 7}, {\"weight\": 4786, \"source\": 5, \"target\": 6}, {\"weight\": 4456, \"source\": 5, \"target\": 8}, {\"weight\": 13215, \"source\": 5, \"target\": 7}, {\"weight\": 5796, \"source\": 6, \"target\": 8}, {\"weight\": 17156, \"source\": 6, \"target\": 7}, {\"weight\": 12113, \"source\": 7, \"target\": 8}]}",
"id": 1053,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: MLW, BOI, TUF, QRO, BRW, JOE, XCR, MCV, ASW\n- Travel distances (in kilometers) between each pair of airports:\nMLW to BRW: 14172\nMLW to BOI: 10800\nMLW to QRO: 10660\nMLW to JOE: 7351\nMLW to TUF: 5091\nMLW to XCR: 5387\nMLW to ASW: 6154\nMLW to MCV: 17181\nBOI to BRW: 3909\nBOI to QRO: 3235\nBOI to JOE: 9255\nBOI to TUF: 8833\nBOI to XCR: 9874\nBOI to ASW: 12454\nBOI to MCV: 15247\nTUF to BRW: 11460\nTUF to QRO: 9298\nTUF to JOE: 2646\nTUF to XCR: 2326\nTUF to ASW: 4016\nTUF to MCV: 15126\nQRO to BRW: 7068\nQRO to JOE: 10182\nQRO to XCR: 10071\nQRO to ASW: 13124\nQRO to MCV: 17694\nBRW to JOE: 11882\nBRW to XCR: 13246\nBRW to ASW: 15081\nBRW to MCV: 16755\nJOE to XCR: 4786\nJOE to ASW: 4456\nJOE to MCV: 13215\nXCR to ASW: 5796\nXCR to MCV: 17156\nMCV to ASW: 12113\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, DAC, SMR, NAJ, BTC, BHB, HRM, POM, SJO\n- Travel distances (in kilometers) between each pair of airports:\nGPI to DAC: 17106\nGPI to SJO: 1437\nGPI to BHB: 4950\nGPI to HRM: 9532\nGPI to SMR: 1076\nGPI to POM: 17988\nGPI to NAJ: 12639\nGPI to BTC: 17640\nDAC to SJO: 16736\nDAC to BHB: 13280\nDAC to HRM: 8635\nDAC to SMR: 17162\nDAC to POM: 7472\nDAC to NAJ: 4720\nDAC to BTC: 2376\nSMR to SJO: 1648\nSMR to BHB: 5017\nSMR to HRM: 9644\nSMR to POM: 18234\nSMR to NAJ: 12734\nSMR to BTC: 17742\nNAJ to SJO: 12631\nNAJ to BHB: 9487\nNAJ to HRM: 4107\nNAJ to POM: 11924\nNAJ to BTC: 5599\nBTC to SJO: 17645\nBTC to BHB: 14292\nBTC to HRM: 8972\nBTC to POM: 7894\nBHB to SJO: 4147\nBHB to HRM: 6930\nBHB to POM: 16152\nHRM to SJO: 9641\nHRM to POM: 15725\nPOM to SJO: 16662\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 50219,
"style": "rule"
}
|
{
"exact_answer": 50219,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"GPI\", \"id\": 0}, {\"name\": \"DAC\", \"id\": 1}, {\"name\": \"SMR\", \"id\": 2}, {\"name\": \"NAJ\", \"id\": 3}, {\"name\": \"BTC\", \"id\": 4}, {\"name\": \"BHB\", \"id\": 5}, {\"name\": \"HRM\", \"id\": 6}, {\"name\": \"POM\", \"id\": 7}, {\"name\": \"SJO\", \"id\": 8}], \"links\": [{\"weight\": 17106, \"source\": 0, \"target\": 1}, {\"weight\": 1437, \"source\": 0, \"target\": 8}, {\"weight\": 4950, \"source\": 0, \"target\": 5}, {\"weight\": 9532, \"source\": 0, \"target\": 6}, {\"weight\": 1076, \"source\": 0, \"target\": 2}, {\"weight\": 17988, \"source\": 0, \"target\": 7}, {\"weight\": 12639, \"source\": 0, \"target\": 3}, {\"weight\": 17640, \"source\": 0, \"target\": 4}, {\"weight\": 16736, \"source\": 1, \"target\": 8}, {\"weight\": 13280, \"source\": 1, \"target\": 5}, {\"weight\": 8635, \"source\": 1, \"target\": 6}, {\"weight\": 17162, \"source\": 1, \"target\": 2}, {\"weight\": 7472, \"source\": 1, \"target\": 7}, {\"weight\": 4720, \"source\": 1, \"target\": 3}, {\"weight\": 2376, \"source\": 1, \"target\": 4}, {\"weight\": 1648, \"source\": 2, \"target\": 8}, {\"weight\": 5017, \"source\": 2, \"target\": 5}, {\"weight\": 9644, \"source\": 2, \"target\": 6}, {\"weight\": 18234, \"source\": 2, \"target\": 7}, {\"weight\": 12734, \"source\": 2, \"target\": 3}, {\"weight\": 17742, \"source\": 2, \"target\": 4}, {\"weight\": 12631, \"source\": 3, \"target\": 8}, {\"weight\": 9487, \"source\": 3, \"target\": 5}, {\"weight\": 4107, \"source\": 3, \"target\": 6}, {\"weight\": 11924, \"source\": 3, \"target\": 7}, {\"weight\": 5599, \"source\": 3, \"target\": 4}, {\"weight\": 17645, \"source\": 4, \"target\": 8}, {\"weight\": 14292, \"source\": 4, \"target\": 5}, {\"weight\": 8972, \"source\": 4, \"target\": 6}, {\"weight\": 7894, \"source\": 4, \"target\": 7}, {\"weight\": 4147, \"source\": 5, \"target\": 8}, {\"weight\": 6930, \"source\": 5, \"target\": 6}, {\"weight\": 16152, \"source\": 5, \"target\": 7}, {\"weight\": 9641, \"source\": 6, \"target\": 8}, {\"weight\": 15725, \"source\": 6, \"target\": 7}, {\"weight\": 16662, \"source\": 7, \"target\": 8}]}",
"id": 1054,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, DAC, SMR, NAJ, BTC, BHB, HRM, POM, SJO\n- Travel distances (in kilometers) between each pair of airports:\nGPI to DAC: 17106\nGPI to SJO: 1437\nGPI to BHB: 4950\nGPI to HRM: 9532\nGPI to SMR: 1076\nGPI to POM: 17988\nGPI to NAJ: 12639\nGPI to BTC: 17640\nDAC to SJO: 16736\nDAC to BHB: 13280\nDAC to HRM: 8635\nDAC to SMR: 17162\nDAC to POM: 7472\nDAC to NAJ: 4720\nDAC to BTC: 2376\nSMR to SJO: 1648\nSMR to BHB: 5017\nSMR to HRM: 9644\nSMR to POM: 18234\nSMR to NAJ: 12734\nSMR to BTC: 17742\nNAJ to SJO: 12631\nNAJ to BHB: 9487\nNAJ to HRM: 4107\nNAJ to POM: 11924\nNAJ to BTC: 5599\nBTC to SJO: 17645\nBTC to BHB: 14292\nBTC to HRM: 8972\nBTC to POM: 7894\nBHB to SJO: 4147\nBHB to HRM: 6930\nBHB to POM: 16152\nHRM to SJO: 9641\nHRM to POM: 15725\nPOM to SJO: 16662\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, TBS, TVF, WLK, SXK, HNS, PBD, JPA, BRE\n- Travel distances (in kilometers) between each pair of airports:\nAKL to BRE: 17927\nAKL to TBS: 15743\nAKL to WLK: 12559\nAKL to TVF: 12917\nAKL to PBD: 12765\nAKL to JPA: 14391\nAKL to SXK: 8967\nAKL to HNS: 12589\nTBS to BRE: 3107\nTBS to WLK: 14000\nTBS to TVF: 10433\nTBS to PBD: 4253\nTBS to JPA: 10456\nTBS to SXK: 10820\nTBS to HNS: 12250\nTVF to BRE: 7497\nTVF to WLK: 5569\nTVF to PBD: 14511\nTVF to JPA: 8999\nTVF to SXK: 17152\nTVF to HNS: 4345\nWLK to BRE: 11364\nWLK to PBD: 17225\nWLK to JPA: 13498\nWLK to SXK: 18014\nWLK to HNS: 2024\nSXK to BRE: 13723\nSXK to PBD: 7778\nSXK to JPA: 20729\nSXK to HNS: 16297\nHNS to BRE: 9614\nHNS to PBD: 15475\nHNS to JPA: 12178\nPBD to BRE: 7173\nPBD to JPA: 13827\nJPA to BRE: 8249\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 60281,
"style": "rule"
}
|
{
"exact_answer": 60281,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"AKL\", \"id\": 0}, {\"name\": \"TBS\", \"id\": 1}, {\"name\": \"TVF\", \"id\": 2}, {\"name\": \"WLK\", \"id\": 3}, {\"name\": \"SXK\", \"id\": 4}, {\"name\": \"HNS\", \"id\": 5}, {\"name\": \"PBD\", \"id\": 6}, {\"name\": \"JPA\", \"id\": 7}, {\"name\": \"BRE\", \"id\": 8}], \"links\": [{\"weight\": 17927, \"source\": 0, \"target\": 8}, {\"weight\": 15743, \"source\": 0, \"target\": 1}, {\"weight\": 12559, \"source\": 0, \"target\": 3}, {\"weight\": 12917, \"source\": 0, \"target\": 2}, {\"weight\": 12765, \"source\": 0, \"target\": 6}, {\"weight\": 14391, \"source\": 0, \"target\": 7}, {\"weight\": 8967, \"source\": 0, \"target\": 4}, {\"weight\": 12589, \"source\": 0, \"target\": 5}, {\"weight\": 3107, \"source\": 1, \"target\": 8}, {\"weight\": 14000, \"source\": 1, \"target\": 3}, {\"weight\": 10433, \"source\": 1, \"target\": 2}, {\"weight\": 4253, \"source\": 1, \"target\": 6}, {\"weight\": 10456, \"source\": 1, \"target\": 7}, {\"weight\": 10820, \"source\": 1, \"target\": 4}, {\"weight\": 12250, \"source\": 1, \"target\": 5}, {\"weight\": 7497, \"source\": 2, \"target\": 8}, {\"weight\": 5569, \"source\": 2, \"target\": 3}, {\"weight\": 14511, \"source\": 2, \"target\": 6}, {\"weight\": 8999, \"source\": 2, \"target\": 7}, {\"weight\": 17152, \"source\": 2, \"target\": 4}, {\"weight\": 4345, \"source\": 2, \"target\": 5}, {\"weight\": 11364, \"source\": 3, \"target\": 8}, {\"weight\": 17225, \"source\": 3, \"target\": 6}, {\"weight\": 13498, \"source\": 3, \"target\": 7}, {\"weight\": 18014, \"source\": 3, \"target\": 4}, {\"weight\": 2024, \"source\": 3, \"target\": 5}, {\"weight\": 13723, \"source\": 4, \"target\": 8}, {\"weight\": 7778, \"source\": 4, \"target\": 6}, {\"weight\": 20729, \"source\": 4, \"target\": 7}, {\"weight\": 16297, \"source\": 4, \"target\": 5}, {\"weight\": 9614, \"source\": 5, \"target\": 8}, {\"weight\": 15475, \"source\": 5, \"target\": 6}, {\"weight\": 12178, \"source\": 5, \"target\": 7}, {\"weight\": 7173, \"source\": 6, \"target\": 8}, {\"weight\": 13827, \"source\": 6, \"target\": 7}, {\"weight\": 8249, \"source\": 7, \"target\": 8}]}",
"id": 1055,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, TBS, TVF, WLK, SXK, HNS, PBD, JPA, BRE\n- Travel distances (in kilometers) between each pair of airports:\nAKL to BRE: 17927\nAKL to TBS: 15743\nAKL to WLK: 12559\nAKL to TVF: 12917\nAKL to PBD: 12765\nAKL to JPA: 14391\nAKL to SXK: 8967\nAKL to HNS: 12589\nTBS to BRE: 3107\nTBS to WLK: 14000\nTBS to TVF: 10433\nTBS to PBD: 4253\nTBS to JPA: 10456\nTBS to SXK: 10820\nTBS to HNS: 12250\nTVF to BRE: 7497\nTVF to WLK: 5569\nTVF to PBD: 14511\nTVF to JPA: 8999\nTVF to SXK: 17152\nTVF to HNS: 4345\nWLK to BRE: 11364\nWLK to PBD: 17225\nWLK to JPA: 13498\nWLK to SXK: 18014\nWLK to HNS: 2024\nSXK to BRE: 13723\nSXK to PBD: 7778\nSXK to JPA: 20729\nSXK to HNS: 16297\nHNS to BRE: 9614\nHNS to PBD: 15475\nHNS to JPA: 12178\nPBD to BRE: 7173\nPBD to JPA: 13827\nJPA to BRE: 8249\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: KSF, ROI, KZO, JGA, XCR, DSA, GEV, CJJ, AEP\n- Travel distances (in kilometers) between each pair of airports:\nKSF to GEV: 4731\nKSF to AEP: 11818\nKSF to CJJ: 10706\nKSF to JGA: 7407\nKSF to DSA: 2987\nKSF to ROI: 10058\nKSF to KZO: 5725\nKSF to XCR: 3709\nROI to GEV: 9766\nROI to AEP: 19117\nROI to CJJ: 4116\nROI to JGA: 4131\nROI to DSA: 10155\nROI to KZO: 5909\nROI to XCR: 12297\nKZO to GEV: 4884\nKZO to AEP: 15254\nKZO to CJJ: 5217\nKZO to JGA: 4175\nKZO to DSA: 5264\nKZO to XCR: 7284\nJGA to GEV: 7711\nJGA to AEP: 15922\nJGA to CJJ: 6274\nJGA to DSA: 7764\nJGA to XCR: 9720\nXCR to GEV: 4871\nXCR to AEP: 11184\nXCR to CJJ: 11630\nXCR to DSA: 3281\nDSA to GEV: 2999\nDSA to AEP: 11813\nDSA to CJJ: 9306\nGEV to AEP: 13424\nGEV to CJJ: 8556\nCJJ to AEP: 20006\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 55037,
"style": "rule"
}
|
{
"exact_answer": 55037,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"KSF\", \"id\": 0}, {\"name\": \"ROI\", \"id\": 1}, {\"name\": \"KZO\", \"id\": 2}, {\"name\": \"JGA\", \"id\": 3}, {\"name\": \"XCR\", \"id\": 4}, {\"name\": \"DSA\", \"id\": 5}, {\"name\": \"GEV\", \"id\": 6}, {\"name\": \"CJJ\", \"id\": 7}, {\"name\": \"AEP\", \"id\": 8}], \"links\": [{\"weight\": 4731, \"source\": 0, \"target\": 6}, {\"weight\": 11818, \"source\": 0, \"target\": 8}, {\"weight\": 10706, \"source\": 0, \"target\": 7}, {\"weight\": 7407, \"source\": 0, \"target\": 3}, {\"weight\": 2987, \"source\": 0, \"target\": 5}, {\"weight\": 10058, \"source\": 0, \"target\": 1}, {\"weight\": 5725, \"source\": 0, \"target\": 2}, {\"weight\": 3709, \"source\": 0, \"target\": 4}, {\"weight\": 9766, \"source\": 1, \"target\": 6}, {\"weight\": 19117, \"source\": 1, \"target\": 8}, {\"weight\": 4116, \"source\": 1, \"target\": 7}, {\"weight\": 4131, \"source\": 1, \"target\": 3}, {\"weight\": 10155, \"source\": 1, \"target\": 5}, {\"weight\": 5909, \"source\": 1, \"target\": 2}, {\"weight\": 12297, \"source\": 1, \"target\": 4}, {\"weight\": 4884, \"source\": 2, \"target\": 6}, {\"weight\": 15254, \"source\": 2, \"target\": 8}, {\"weight\": 5217, \"source\": 2, \"target\": 7}, {\"weight\": 4175, \"source\": 2, \"target\": 3}, {\"weight\": 5264, \"source\": 2, \"target\": 5}, {\"weight\": 7284, \"source\": 2, \"target\": 4}, {\"weight\": 7711, \"source\": 3, \"target\": 6}, {\"weight\": 15922, \"source\": 3, \"target\": 8}, {\"weight\": 6274, \"source\": 3, \"target\": 7}, {\"weight\": 7764, \"source\": 3, \"target\": 5}, {\"weight\": 9720, \"source\": 3, \"target\": 4}, {\"weight\": 4871, \"source\": 4, \"target\": 6}, {\"weight\": 11184, \"source\": 4, \"target\": 8}, {\"weight\": 11630, \"source\": 4, \"target\": 7}, {\"weight\": 3281, \"source\": 4, \"target\": 5}, {\"weight\": 2999, \"source\": 5, \"target\": 6}, {\"weight\": 11813, \"source\": 5, \"target\": 8}, {\"weight\": 9306, \"source\": 5, \"target\": 7}, {\"weight\": 13424, \"source\": 6, \"target\": 8}, {\"weight\": 8556, \"source\": 6, \"target\": 7}, {\"weight\": 20006, \"source\": 7, \"target\": 8}]}",
"id": 1056,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: KSF, ROI, KZO, JGA, XCR, DSA, GEV, CJJ, AEP\n- Travel distances (in kilometers) between each pair of airports:\nKSF to GEV: 4731\nKSF to AEP: 11818\nKSF to CJJ: 10706\nKSF to JGA: 7407\nKSF to DSA: 2987\nKSF to ROI: 10058\nKSF to KZO: 5725\nKSF to XCR: 3709\nROI to GEV: 9766\nROI to AEP: 19117\nROI to CJJ: 4116\nROI to JGA: 4131\nROI to DSA: 10155\nROI to KZO: 5909\nROI to XCR: 12297\nKZO to GEV: 4884\nKZO to AEP: 15254\nKZO to CJJ: 5217\nKZO to JGA: 4175\nKZO to DSA: 5264\nKZO to XCR: 7284\nJGA to GEV: 7711\nJGA to AEP: 15922\nJGA to CJJ: 6274\nJGA to DSA: 7764\nJGA to XCR: 9720\nXCR to GEV: 4871\nXCR to AEP: 11184\nXCR to CJJ: 11630\nXCR to DSA: 3281\nDSA to GEV: 2999\nDSA to AEP: 11813\nDSA to CJJ: 9306\nGEV to AEP: 13424\nGEV to CJJ: 8556\nCJJ to AEP: 20006\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: EYP, GND, IBA, LYA, PLM, ABR, LTD, KYZ, LOH\n- Travel distances (in kilometers) between each pair of airports:\nEYP to LYA: 15829\nEYP to GND: 1828\nEYP to PLM: 19994\nEYP to ABR: 5465\nEYP to LOH: 1368\nEYP to KYZ: 15695\nEYP to LTD: 10205\nEYP to IBA: 11378\nGND to LYA: 15070\nGND to PLM: 18317\nGND to ABR: 5236\nGND to LOH: 2784\nGND to KYZ: 14159\nGND to LTD: 9573\nGND to IBA: 9867\nIBA to LYA: 11601\nIBA to PLM: 11868\nIBA to ABR: 11182\nIBA to LOH: 12031\nIBA to KYZ: 10858\nIBA to LTD: 5175\nLYA to PLM: 4374\nLYA to ABR: 11907\nLYA to LOH: 16424\nLYA to KYZ: 3030\nLYA to LTD: 9867\nPLM to ABR: 15801\nPLM to LOH: 20533\nPLM to KYZ: 6884\nPLM to LTD: 10847\nABR to LOH: 6104\nABR to KYZ: 13538\nABR to LTD: 9638\nLTD to LOH: 11161\nLTD to KYZ: 8413\nKYZ to LOH: 16651\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 55920,
"style": "rule"
}
|
{
"exact_answer": 55920,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"EYP\", \"id\": 0}, {\"name\": \"GND\", \"id\": 1}, {\"name\": \"IBA\", \"id\": 2}, {\"name\": \"LYA\", \"id\": 3}, {\"name\": \"PLM\", \"id\": 4}, {\"name\": \"ABR\", \"id\": 5}, {\"name\": \"LTD\", \"id\": 6}, {\"name\": \"KYZ\", \"id\": 7}, {\"name\": \"LOH\", \"id\": 8}], \"links\": [{\"weight\": 15829, \"source\": 0, \"target\": 3}, {\"weight\": 1828, \"source\": 0, \"target\": 1}, {\"weight\": 19994, \"source\": 0, \"target\": 4}, {\"weight\": 5465, \"source\": 0, \"target\": 5}, {\"weight\": 1368, \"source\": 0, \"target\": 8}, {\"weight\": 15695, \"source\": 0, \"target\": 7}, {\"weight\": 10205, \"source\": 0, \"target\": 6}, {\"weight\": 11378, \"source\": 0, \"target\": 2}, {\"weight\": 15070, \"source\": 1, \"target\": 3}, {\"weight\": 18317, \"source\": 1, \"target\": 4}, {\"weight\": 5236, \"source\": 1, \"target\": 5}, {\"weight\": 2784, \"source\": 1, \"target\": 8}, {\"weight\": 14159, \"source\": 1, \"target\": 7}, {\"weight\": 9573, \"source\": 1, \"target\": 6}, {\"weight\": 9867, \"source\": 1, \"target\": 2}, {\"weight\": 11601, \"source\": 2, \"target\": 3}, {\"weight\": 11868, \"source\": 2, \"target\": 4}, {\"weight\": 11182, \"source\": 2, \"target\": 5}, {\"weight\": 12031, \"source\": 2, \"target\": 8}, {\"weight\": 10858, \"source\": 2, \"target\": 7}, {\"weight\": 5175, \"source\": 2, \"target\": 6}, {\"weight\": 4374, \"source\": 3, \"target\": 4}, {\"weight\": 11907, \"source\": 3, \"target\": 5}, {\"weight\": 16424, \"source\": 3, \"target\": 8}, {\"weight\": 3030, \"source\": 3, \"target\": 7}, {\"weight\": 9867, \"source\": 3, \"target\": 6}, {\"weight\": 15801, \"source\": 4, \"target\": 5}, {\"weight\": 20533, \"source\": 4, \"target\": 8}, {\"weight\": 6884, \"source\": 4, \"target\": 7}, {\"weight\": 10847, \"source\": 4, \"target\": 6}, {\"weight\": 6104, \"source\": 5, \"target\": 8}, {\"weight\": 13538, \"source\": 5, \"target\": 7}, {\"weight\": 9638, \"source\": 5, \"target\": 6}, {\"weight\": 11161, \"source\": 6, \"target\": 8}, {\"weight\": 8413, \"source\": 6, \"target\": 7}, {\"weight\": 16651, \"source\": 7, \"target\": 8}]}",
"id": 1057,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: EYP, GND, IBA, LYA, PLM, ABR, LTD, KYZ, LOH\n- Travel distances (in kilometers) between each pair of airports:\nEYP to LYA: 15829\nEYP to GND: 1828\nEYP to PLM: 19994\nEYP to ABR: 5465\nEYP to LOH: 1368\nEYP to KYZ: 15695\nEYP to LTD: 10205\nEYP to IBA: 11378\nGND to LYA: 15070\nGND to PLM: 18317\nGND to ABR: 5236\nGND to LOH: 2784\nGND to KYZ: 14159\nGND to LTD: 9573\nGND to IBA: 9867\nIBA to LYA: 11601\nIBA to PLM: 11868\nIBA to ABR: 11182\nIBA to LOH: 12031\nIBA to KYZ: 10858\nIBA to LTD: 5175\nLYA to PLM: 4374\nLYA to ABR: 11907\nLYA to LOH: 16424\nLYA to KYZ: 3030\nLYA to LTD: 9867\nPLM to ABR: 15801\nPLM to LOH: 20533\nPLM to KYZ: 6884\nPLM to LTD: 10847\nABR to LOH: 6104\nABR to KYZ: 13538\nABR to LTD: 9638\nLTD to LOH: 11161\nLTD to KYZ: 8413\nKYZ to LOH: 16651\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, ABB, PAS, ATM, WMN, YZS, IXG, ITB, YZF\n- Travel distances (in kilometers) between each pair of airports:\nDZN to YZF: 13161\nDZN to YZS: 13410\nDZN to PAS: 5473\nDZN to ATM: 14808\nDZN to ITB: 15293\nDZN to WMN: 9314\nDZN to IXG: 4710\nDZN to ABB: 8903\nABB to YZF: 12408\nABB to YZS: 11957\nABB to PAS: 5005\nABB to ATM: 7731\nABB to ITB: 8216\nABB to WMN: 6391\nABB to IXG: 8655\nPAS to YZF: 10294\nPAS to YZS: 9489\nPAS to ATM: 9940\nPAS to ITB: 10425\nPAS to WMN: 7171\nPAS to IXG: 6582\nATM to YZF: 9518\nATM to YZS: 9154\nATM to ITB: 538\nATM to WMN: 12943\nATM to IXG: 15689\nWMN to YZF: 17038\nWMN to YZS: 16129\nWMN to ITB: 13428\nWMN to IXG: 6008\nYZS to YZF: 1595\nYZS to ITB: 9436\nYZS to IXG: 15441\nIXG to YZF: 15675\nIXG to ITB: 16174\nITB to YZF: 9801\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 51736,
"style": "rule"
}
|
{
"exact_answer": 51736,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"DZN\", \"id\": 0}, {\"name\": \"ABB\", \"id\": 1}, {\"name\": \"PAS\", \"id\": 2}, {\"name\": \"ATM\", \"id\": 3}, {\"name\": \"WMN\", \"id\": 4}, {\"name\": \"YZS\", \"id\": 5}, {\"name\": \"IXG\", \"id\": 6}, {\"name\": \"ITB\", \"id\": 7}, {\"name\": \"YZF\", \"id\": 8}], \"links\": [{\"weight\": 13161, \"source\": 0, \"target\": 8}, {\"weight\": 13410, \"source\": 0, \"target\": 5}, {\"weight\": 5473, \"source\": 0, \"target\": 2}, {\"weight\": 14808, \"source\": 0, \"target\": 3}, {\"weight\": 15293, \"source\": 0, \"target\": 7}, {\"weight\": 9314, \"source\": 0, \"target\": 4}, {\"weight\": 4710, \"source\": 0, \"target\": 6}, {\"weight\": 8903, \"source\": 0, \"target\": 1}, {\"weight\": 12408, \"source\": 1, \"target\": 8}, {\"weight\": 11957, \"source\": 1, \"target\": 5}, {\"weight\": 5005, \"source\": 1, \"target\": 2}, {\"weight\": 7731, \"source\": 1, \"target\": 3}, {\"weight\": 8216, \"source\": 1, \"target\": 7}, {\"weight\": 6391, \"source\": 1, \"target\": 4}, {\"weight\": 8655, \"source\": 1, \"target\": 6}, {\"weight\": 10294, \"source\": 2, \"target\": 8}, {\"weight\": 9489, \"source\": 2, \"target\": 5}, {\"weight\": 9940, \"source\": 2, \"target\": 3}, {\"weight\": 10425, \"source\": 2, \"target\": 7}, {\"weight\": 7171, \"source\": 2, \"target\": 4}, {\"weight\": 6582, \"source\": 2, \"target\": 6}, {\"weight\": 9518, \"source\": 3, \"target\": 8}, {\"weight\": 9154, \"source\": 3, \"target\": 5}, {\"weight\": 538, \"source\": 3, \"target\": 7}, {\"weight\": 12943, \"source\": 3, \"target\": 4}, {\"weight\": 15689, \"source\": 3, \"target\": 6}, {\"weight\": 17038, \"source\": 4, \"target\": 8}, {\"weight\": 16129, \"source\": 4, \"target\": 5}, {\"weight\": 13428, \"source\": 4, \"target\": 7}, {\"weight\": 6008, \"source\": 4, \"target\": 6}, {\"weight\": 1595, \"source\": 5, \"target\": 8}, {\"weight\": 9436, \"source\": 5, \"target\": 7}, {\"weight\": 15441, \"source\": 5, \"target\": 6}, {\"weight\": 15675, \"source\": 6, \"target\": 8}, {\"weight\": 16174, \"source\": 6, \"target\": 7}, {\"weight\": 9801, \"source\": 7, \"target\": 8}]}",
"id": 1058,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, ABB, PAS, ATM, WMN, YZS, IXG, ITB, YZF\n- Travel distances (in kilometers) between each pair of airports:\nDZN to YZF: 13161\nDZN to YZS: 13410\nDZN to PAS: 5473\nDZN to ATM: 14808\nDZN to ITB: 15293\nDZN to WMN: 9314\nDZN to IXG: 4710\nDZN to ABB: 8903\nABB to YZF: 12408\nABB to YZS: 11957\nABB to PAS: 5005\nABB to ATM: 7731\nABB to ITB: 8216\nABB to WMN: 6391\nABB to IXG: 8655\nPAS to YZF: 10294\nPAS to YZS: 9489\nPAS to ATM: 9940\nPAS to ITB: 10425\nPAS to WMN: 7171\nPAS to IXG: 6582\nATM to YZF: 9518\nATM to YZS: 9154\nATM to ITB: 538\nATM to WMN: 12943\nATM to IXG: 15689\nWMN to YZF: 17038\nWMN to YZS: 16129\nWMN to ITB: 13428\nWMN to IXG: 6008\nYZS to YZF: 1595\nYZS to ITB: 9436\nYZS to IXG: 15441\nIXG to YZF: 15675\nIXG to ITB: 16174\nITB to YZF: 9801\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LYG, BEY, MOZ, PGA, MKW, NSH, GIU, RRS, YSG\n- Travel distances (in kilometers) between each pair of airports:\nLYG to YSG: 10893\nLYG to BEY: 7614\nLYG to NSH: 6200\nLYG to PGA: 11243\nLYG to MKW: 6176\nLYG to GIU: 5131\nLYG to MOZ: 11691\nLYG to RRS: 7993\nBEY to YSG: 11267\nBEY to NSH: 2180\nBEY to PGA: 11534\nBEY to MKW: 11357\nBEY to GIU: 5501\nBEY to MOZ: 18602\nBEY to RRS: 3710\nMOZ to YSG: 10025\nMOZ to NSH: 17273\nMOZ to PGA: 7352\nMOZ to MKW: 12894\nMOZ to GIU: 14960\nMOZ to RRS: 15780\nPGA to YSG: 3477\nPGA to NSH: 12678\nPGA to MKW: 16504\nPGA to GIU: 15998\nPGA to RRS: 8444\nMKW to YSG: 16488\nMKW to NSH: 10151\nMKW to GIU: 6215\nMKW to RRS: 13616\nNSH to YSG: 12411\nNSH to GIU: 4682\nNSH to RRS: 4764\nGIU to YSG: 15750\nGIU to RRS: 8550\nRRS to YSG: 8177\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 53660,
"style": "rule"
}
|
{
"exact_answer": 53660,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"LYG\", \"id\": 0}, {\"name\": \"BEY\", \"id\": 1}, {\"name\": \"MOZ\", \"id\": 2}, {\"name\": \"PGA\", \"id\": 3}, {\"name\": \"MKW\", \"id\": 4}, {\"name\": \"NSH\", \"id\": 5}, {\"name\": \"GIU\", \"id\": 6}, {\"name\": \"RRS\", \"id\": 7}, {\"name\": \"YSG\", \"id\": 8}], \"links\": [{\"weight\": 10893, \"source\": 0, \"target\": 8}, {\"weight\": 7614, \"source\": 0, \"target\": 1}, {\"weight\": 6200, \"source\": 0, \"target\": 5}, {\"weight\": 11243, \"source\": 0, \"target\": 3}, {\"weight\": 6176, \"source\": 0, \"target\": 4}, {\"weight\": 5131, \"source\": 0, \"target\": 6}, {\"weight\": 11691, \"source\": 0, \"target\": 2}, {\"weight\": 7993, \"source\": 0, \"target\": 7}, {\"weight\": 11267, \"source\": 1, \"target\": 8}, {\"weight\": 2180, \"source\": 1, \"target\": 5}, {\"weight\": 11534, \"source\": 1, \"target\": 3}, {\"weight\": 11357, \"source\": 1, \"target\": 4}, {\"weight\": 5501, \"source\": 1, \"target\": 6}, {\"weight\": 18602, \"source\": 1, \"target\": 2}, {\"weight\": 3710, \"source\": 1, \"target\": 7}, {\"weight\": 10025, \"source\": 2, \"target\": 8}, {\"weight\": 17273, \"source\": 2, \"target\": 5}, {\"weight\": 7352, \"source\": 2, \"target\": 3}, {\"weight\": 12894, \"source\": 2, \"target\": 4}, {\"weight\": 14960, \"source\": 2, \"target\": 6}, {\"weight\": 15780, \"source\": 2, \"target\": 7}, {\"weight\": 3477, \"source\": 3, \"target\": 8}, {\"weight\": 12678, \"source\": 3, \"target\": 5}, {\"weight\": 16504, \"source\": 3, \"target\": 4}, {\"weight\": 15998, \"source\": 3, \"target\": 6}, {\"weight\": 8444, \"source\": 3, \"target\": 7}, {\"weight\": 16488, \"source\": 4, \"target\": 8}, {\"weight\": 10151, \"source\": 4, \"target\": 5}, {\"weight\": 6215, \"source\": 4, \"target\": 6}, {\"weight\": 13616, \"source\": 4, \"target\": 7}, {\"weight\": 12411, \"source\": 5, \"target\": 8}, {\"weight\": 4682, \"source\": 5, \"target\": 6}, {\"weight\": 4764, \"source\": 5, \"target\": 7}, {\"weight\": 15750, \"source\": 6, \"target\": 8}, {\"weight\": 8550, \"source\": 6, \"target\": 7}, {\"weight\": 8177, \"source\": 7, \"target\": 8}]}",
"id": 1059,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LYG, BEY, MOZ, PGA, MKW, NSH, GIU, RRS, YSG\n- Travel distances (in kilometers) between each pair of airports:\nLYG to YSG: 10893\nLYG to BEY: 7614\nLYG to NSH: 6200\nLYG to PGA: 11243\nLYG to MKW: 6176\nLYG to GIU: 5131\nLYG to MOZ: 11691\nLYG to RRS: 7993\nBEY to YSG: 11267\nBEY to NSH: 2180\nBEY to PGA: 11534\nBEY to MKW: 11357\nBEY to GIU: 5501\nBEY to MOZ: 18602\nBEY to RRS: 3710\nMOZ to YSG: 10025\nMOZ to NSH: 17273\nMOZ to PGA: 7352\nMOZ to MKW: 12894\nMOZ to GIU: 14960\nMOZ to RRS: 15780\nPGA to YSG: 3477\nPGA to NSH: 12678\nPGA to MKW: 16504\nPGA to GIU: 15998\nPGA to RRS: 8444\nMKW to YSG: 16488\nMKW to NSH: 10151\nMKW to GIU: 6215\nMKW to RRS: 13616\nNSH to YSG: 12411\nNSH to GIU: 4682\nNSH to RRS: 4764\nGIU to YSG: 15750\nGIU to RRS: 8550\nRRS to YSG: 8177\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PLJ, PBZ, YAX, FAR, YQQ, PXU, BWT, CCP, TBU\n- Travel distances (in kilometers) between each pair of airports:\nPLJ to CCP: 6533\nPLJ to PBZ: 15039\nPLJ to YQQ: 4972\nPLJ to FAR: 3588\nPLJ to TBU: 13372\nPLJ to BWT: 16724\nPLJ to PXU: 16220\nPLJ to YAX: 4650\nPBZ to CCP: 11482\nPBZ to YQQ: 17662\nPBZ to FAR: 15611\nPBZ to TBU: 15612\nPBZ to BWT: 12389\nPBZ to PXU: 10947\nPBZ to YAX: 15754\nYAX to CCP: 10608\nYAX to YQQ: 2748\nYAX to FAR: 1766\nYAX to TBU: 12963\nYAX to BWT: 16187\nYAX to PXU: 14004\nFAR to CCP: 9788\nFAR to YQQ: 2797\nFAR to TBU: 12076\nFAR to BWT: 15351\nFAR to PXU: 14005\nYQQ to CCP: 11103\nYQQ to TBU: 10462\nYQQ to BWT: 13686\nYQQ to PXU: 11539\nPXU to CCP: 18995\nPXU to TBU: 10178\nPXU to BWT: 7458\nBWT to CCP: 12818\nBWT to TBU: 4637\nCCP to TBU: 12084\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 59621,
"style": "rule"
}
|
{
"exact_answer": 59621,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"PLJ\", \"id\": 0}, {\"name\": \"PBZ\", \"id\": 1}, {\"name\": \"YAX\", \"id\": 2}, {\"name\": \"FAR\", \"id\": 3}, {\"name\": \"YQQ\", \"id\": 4}, {\"name\": \"PXU\", \"id\": 5}, {\"name\": \"BWT\", \"id\": 6}, {\"name\": \"CCP\", \"id\": 7}, {\"name\": \"TBU\", \"id\": 8}], \"links\": [{\"weight\": 6533, \"source\": 0, \"target\": 7}, {\"weight\": 15039, \"source\": 0, \"target\": 1}, {\"weight\": 4972, \"source\": 0, \"target\": 4}, {\"weight\": 3588, \"source\": 0, \"target\": 3}, {\"weight\": 13372, \"source\": 0, \"target\": 8}, {\"weight\": 16724, \"source\": 0, \"target\": 6}, {\"weight\": 16220, \"source\": 0, \"target\": 5}, {\"weight\": 4650, \"source\": 0, \"target\": 2}, {\"weight\": 11482, \"source\": 1, \"target\": 7}, {\"weight\": 17662, \"source\": 1, \"target\": 4}, {\"weight\": 15611, \"source\": 1, \"target\": 3}, {\"weight\": 15612, \"source\": 1, \"target\": 8}, {\"weight\": 12389, \"source\": 1, \"target\": 6}, {\"weight\": 10947, \"source\": 1, \"target\": 5}, {\"weight\": 15754, \"source\": 1, \"target\": 2}, {\"weight\": 10608, \"source\": 2, \"target\": 7}, {\"weight\": 2748, \"source\": 2, \"target\": 4}, {\"weight\": 1766, \"source\": 2, \"target\": 3}, {\"weight\": 12963, \"source\": 2, \"target\": 8}, {\"weight\": 16187, \"source\": 2, \"target\": 6}, {\"weight\": 14004, \"source\": 2, \"target\": 5}, {\"weight\": 9788, \"source\": 3, \"target\": 7}, {\"weight\": 2797, \"source\": 3, \"target\": 4}, {\"weight\": 12076, \"source\": 3, \"target\": 8}, {\"weight\": 15351, \"source\": 3, \"target\": 6}, {\"weight\": 14005, \"source\": 3, \"target\": 5}, {\"weight\": 11103, \"source\": 4, \"target\": 7}, {\"weight\": 10462, \"source\": 4, \"target\": 8}, {\"weight\": 13686, \"source\": 4, \"target\": 6}, {\"weight\": 11539, \"source\": 4, \"target\": 5}, {\"weight\": 18995, \"source\": 5, \"target\": 7}, {\"weight\": 10178, \"source\": 5, \"target\": 8}, {\"weight\": 7458, \"source\": 5, \"target\": 6}, {\"weight\": 12818, \"source\": 6, \"target\": 7}, {\"weight\": 4637, \"source\": 6, \"target\": 8}, {\"weight\": 12084, \"source\": 7, \"target\": 8}]}",
"id": 1060,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PLJ, PBZ, YAX, FAR, YQQ, PXU, BWT, CCP, TBU\n- Travel distances (in kilometers) between each pair of airports:\nPLJ to CCP: 6533\nPLJ to PBZ: 15039\nPLJ to YQQ: 4972\nPLJ to FAR: 3588\nPLJ to TBU: 13372\nPLJ to BWT: 16724\nPLJ to PXU: 16220\nPLJ to YAX: 4650\nPBZ to CCP: 11482\nPBZ to YQQ: 17662\nPBZ to FAR: 15611\nPBZ to TBU: 15612\nPBZ to BWT: 12389\nPBZ to PXU: 10947\nPBZ to YAX: 15754\nYAX to CCP: 10608\nYAX to YQQ: 2748\nYAX to FAR: 1766\nYAX to TBU: 12963\nYAX to BWT: 16187\nYAX to PXU: 14004\nFAR to CCP: 9788\nFAR to YQQ: 2797\nFAR to TBU: 12076\nFAR to BWT: 15351\nFAR to PXU: 14005\nYQQ to CCP: 11103\nYQQ to TBU: 10462\nYQQ to BWT: 13686\nYQQ to PXU: 11539\nPXU to CCP: 18995\nPXU to TBU: 10178\nPXU to BWT: 7458\nBWT to CCP: 12818\nBWT to TBU: 4637\nCCP to TBU: 12084\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: AES, GDT, HND, CPH, SHH, TMW, JKH, ILD, IPL\n- Travel distances (in kilometers) between each pair of airports:\nAES to CPH: 856\nAES to HND: 9177\nAES to SHH: 10940\nAES to GDT: 8032\nAES to JKH: 3060\nAES to ILD: 2873\nAES to IPL: 8993\nAES to TMW: 16657\nGDT to CPH: 8332\nGDT to HND: 13114\nGDT to SHH: 8428\nGDT to JKH: 9773\nGDT to ILD: 8093\nGDT to IPL: 4844\nGDT to TMW: 16979\nHND to CPH: 8933\nHND to SHH: 11095\nHND to JKH: 9884\nHND to ILD: 10878\nHND to IPL: 9108\nHND to TMW: 8458\nCPH to SHH: 11338\nCPH to JKH: 2204\nCPH to ILD: 2234\nCPH to IPL: 9354\nCPH to TMW: 16382\nSHH to JKH: 13485\nSHH to ILD: 12697\nSHH to IPL: 5150\nSHH to TMW: 14022\nTMW to JKH: 15830\nTMW to ILD: 17815\nTMW to IPL: 12705\nJKH to ILD: 2415\nJKH to IPL: 11434\nILD to IPL: 10515\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 55219,
"style": "rule"
}
|
{
"exact_answer": 55219,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"AES\", \"id\": 0}, {\"name\": \"GDT\", \"id\": 1}, {\"name\": \"HND\", \"id\": 2}, {\"name\": \"CPH\", \"id\": 3}, {\"name\": \"SHH\", \"id\": 4}, {\"name\": \"TMW\", \"id\": 5}, {\"name\": \"JKH\", \"id\": 6}, {\"name\": \"ILD\", \"id\": 7}, {\"name\": \"IPL\", \"id\": 8}], \"links\": [{\"weight\": 856, \"source\": 0, \"target\": 3}, {\"weight\": 9177, \"source\": 0, \"target\": 2}, {\"weight\": 10940, \"source\": 0, \"target\": 4}, {\"weight\": 8032, \"source\": 0, \"target\": 1}, {\"weight\": 3060, \"source\": 0, \"target\": 6}, {\"weight\": 2873, \"source\": 0, \"target\": 7}, {\"weight\": 8993, \"source\": 0, \"target\": 8}, {\"weight\": 16657, \"source\": 0, \"target\": 5}, {\"weight\": 8332, \"source\": 1, \"target\": 3}, {\"weight\": 13114, \"source\": 1, \"target\": 2}, {\"weight\": 8428, \"source\": 1, \"target\": 4}, {\"weight\": 9773, \"source\": 1, \"target\": 6}, {\"weight\": 8093, \"source\": 1, \"target\": 7}, {\"weight\": 4844, \"source\": 1, \"target\": 8}, {\"weight\": 16979, \"source\": 1, \"target\": 5}, {\"weight\": 8933, \"source\": 2, \"target\": 3}, {\"weight\": 11095, \"source\": 2, \"target\": 4}, {\"weight\": 9884, \"source\": 2, \"target\": 6}, {\"weight\": 10878, \"source\": 2, \"target\": 7}, {\"weight\": 9108, \"source\": 2, \"target\": 8}, {\"weight\": 8458, \"source\": 2, \"target\": 5}, {\"weight\": 11338, \"source\": 3, \"target\": 4}, {\"weight\": 2204, \"source\": 3, \"target\": 6}, {\"weight\": 2234, \"source\": 3, \"target\": 7}, {\"weight\": 9354, \"source\": 3, \"target\": 8}, {\"weight\": 16382, \"source\": 3, \"target\": 5}, {\"weight\": 13485, \"source\": 4, \"target\": 6}, {\"weight\": 12697, \"source\": 4, \"target\": 7}, {\"weight\": 5150, \"source\": 4, \"target\": 8}, {\"weight\": 14022, \"source\": 4, \"target\": 5}, {\"weight\": 15830, \"source\": 5, \"target\": 6}, {\"weight\": 17815, \"source\": 5, \"target\": 7}, {\"weight\": 12705, \"source\": 5, \"target\": 8}, {\"weight\": 2415, \"source\": 6, \"target\": 7}, {\"weight\": 11434, \"source\": 6, \"target\": 8}, {\"weight\": 10515, \"source\": 7, \"target\": 8}]}",
"id": 1061,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: AES, GDT, HND, CPH, SHH, TMW, JKH, ILD, IPL\n- Travel distances (in kilometers) between each pair of airports:\nAES to CPH: 856\nAES to HND: 9177\nAES to SHH: 10940\nAES to GDT: 8032\nAES to JKH: 3060\nAES to ILD: 2873\nAES to IPL: 8993\nAES to TMW: 16657\nGDT to CPH: 8332\nGDT to HND: 13114\nGDT to SHH: 8428\nGDT to JKH: 9773\nGDT to ILD: 8093\nGDT to IPL: 4844\nGDT to TMW: 16979\nHND to CPH: 8933\nHND to SHH: 11095\nHND to JKH: 9884\nHND to ILD: 10878\nHND to IPL: 9108\nHND to TMW: 8458\nCPH to SHH: 11338\nCPH to JKH: 2204\nCPH to ILD: 2234\nCPH to IPL: 9354\nCPH to TMW: 16382\nSHH to JKH: 13485\nSHH to ILD: 12697\nSHH to IPL: 5150\nSHH to TMW: 14022\nTMW to JKH: 15830\nTMW to ILD: 17815\nTMW to IPL: 12705\nJKH to ILD: 2415\nJKH to IPL: 11434\nILD to IPL: 10515\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: WJU, HJR, SCY, KLN, YNA, MXP, IEV, CUZ, TBU\n- Travel distances (in kilometers) between each pair of airports:\nWJU to CUZ: 17808\nWJU to SCY: 17289\nWJU to KLN: 12092\nWJU to MXP: 9690\nWJU to IEV: 8130\nWJU to HJR: 5114\nWJU to TBU: 9894\nWJU to YNA: 13097\nHJR to CUZ: 18090\nHJR to SCY: 18256\nHJR to KLN: 15352\nHJR to MXP: 7132\nHJR to IEV: 5720\nHJR to TBU: 12651\nHJR to YNA: 12333\nSCY to CUZ: 2813\nSCY to KLN: 10795\nSCY to MXP: 11187\nSCY to IEV: 12722\nSCY to TBU: 16345\nSCY to YNA: 7459\nKLN to CUZ: 11395\nKLN to MXP: 11441\nKLN to IEV: 12048\nKLN to TBU: 10946\nKLN to YNA: 7149\nYNA to CUZ: 8021\nYNA to MXP: 5568\nYNA to IEV: 6803\nYNA to TBU: 14816\nMXP to CUZ: 11137\nMXP to IEV: 1710\nMXP to TBU: 17875\nIEV to CUZ: 12831\nIEV to TBU: 16431\nCUZ to TBU: 14101\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 60581,
"style": "rule"
}
|
{
"exact_answer": 60581,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"WJU\", \"id\": 0}, {\"name\": \"HJR\", \"id\": 1}, {\"name\": \"SCY\", \"id\": 2}, {\"name\": \"KLN\", \"id\": 3}, {\"name\": \"YNA\", \"id\": 4}, {\"name\": \"MXP\", \"id\": 5}, {\"name\": \"IEV\", \"id\": 6}, {\"name\": \"CUZ\", \"id\": 7}, {\"name\": \"TBU\", \"id\": 8}], \"links\": [{\"weight\": 17808, \"source\": 0, \"target\": 7}, {\"weight\": 17289, \"source\": 0, \"target\": 2}, {\"weight\": 12092, \"source\": 0, \"target\": 3}, {\"weight\": 9690, \"source\": 0, \"target\": 5}, {\"weight\": 8130, \"source\": 0, \"target\": 6}, {\"weight\": 5114, \"source\": 0, \"target\": 1}, {\"weight\": 9894, \"source\": 0, \"target\": 8}, {\"weight\": 13097, \"source\": 0, \"target\": 4}, {\"weight\": 18090, \"source\": 1, \"target\": 7}, {\"weight\": 18256, \"source\": 1, \"target\": 2}, {\"weight\": 15352, \"source\": 1, \"target\": 3}, {\"weight\": 7132, \"source\": 1, \"target\": 5}, {\"weight\": 5720, \"source\": 1, \"target\": 6}, {\"weight\": 12651, \"source\": 1, \"target\": 8}, {\"weight\": 12333, \"source\": 1, \"target\": 4}, {\"weight\": 2813, \"source\": 2, \"target\": 7}, {\"weight\": 10795, \"source\": 2, \"target\": 3}, {\"weight\": 11187, \"source\": 2, \"target\": 5}, {\"weight\": 12722, \"source\": 2, \"target\": 6}, {\"weight\": 16345, \"source\": 2, \"target\": 8}, {\"weight\": 7459, \"source\": 2, \"target\": 4}, {\"weight\": 11395, \"source\": 3, \"target\": 7}, {\"weight\": 11441, \"source\": 3, \"target\": 5}, {\"weight\": 12048, \"source\": 3, \"target\": 6}, {\"weight\": 10946, \"source\": 3, \"target\": 8}, {\"weight\": 7149, \"source\": 3, \"target\": 4}, {\"weight\": 8021, \"source\": 4, \"target\": 7}, {\"weight\": 5568, \"source\": 4, \"target\": 5}, {\"weight\": 6803, \"source\": 4, \"target\": 6}, {\"weight\": 14816, \"source\": 4, \"target\": 8}, {\"weight\": 11137, \"source\": 5, \"target\": 7}, {\"weight\": 1710, \"source\": 5, \"target\": 6}, {\"weight\": 17875, \"source\": 5, \"target\": 8}, {\"weight\": 12831, \"source\": 6, \"target\": 7}, {\"weight\": 16431, \"source\": 6, \"target\": 8}, {\"weight\": 14101, \"source\": 7, \"target\": 8}]}",
"id": 1062,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: WJU, HJR, SCY, KLN, YNA, MXP, IEV, CUZ, TBU\n- Travel distances (in kilometers) between each pair of airports:\nWJU to CUZ: 17808\nWJU to SCY: 17289\nWJU to KLN: 12092\nWJU to MXP: 9690\nWJU to IEV: 8130\nWJU to HJR: 5114\nWJU to TBU: 9894\nWJU to YNA: 13097\nHJR to CUZ: 18090\nHJR to SCY: 18256\nHJR to KLN: 15352\nHJR to MXP: 7132\nHJR to IEV: 5720\nHJR to TBU: 12651\nHJR to YNA: 12333\nSCY to CUZ: 2813\nSCY to KLN: 10795\nSCY to MXP: 11187\nSCY to IEV: 12722\nSCY to TBU: 16345\nSCY to YNA: 7459\nKLN to CUZ: 11395\nKLN to MXP: 11441\nKLN to IEV: 12048\nKLN to TBU: 10946\nKLN to YNA: 7149\nYNA to CUZ: 8021\nYNA to MXP: 5568\nYNA to IEV: 6803\nYNA to TBU: 14816\nMXP to CUZ: 11137\nMXP to IEV: 1710\nMXP to TBU: 17875\nIEV to CUZ: 12831\nIEV to TBU: 16431\nCUZ to TBU: 14101\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: NNG, RPR, SRV, YVB, LAZ, SFT, LTX, KWE, GRW\n- Travel distances (in kilometers) between each pair of airports:\nNNG to KWE: 457\nNNG to RPR: 2800\nNNG to SRV: 13748\nNNG to LAZ: 17682\nNNG to LTX: 17797\nNNG to SFT: 8501\nNNG to YVB: 13856\nNNG to GRW: 12034\nRPR to KWE: 2628\nRPR to SRV: 15972\nRPR to LAZ: 15367\nRPR to LTX: 17225\nRPR to SFT: 7102\nRPR to YVB: 13061\nRPR to GRW: 10268\nSRV to KWE: 13427\nSRV to LAZ: 13934\nSRV to LTX: 10069\nSRV to SFT: 11521\nSRV to YVB: 6933\nSRV to GRW: 10564\nYVB to KWE: 13516\nYVB to LAZ: 9291\nYVB to LTX: 6120\nYVB to SFT: 7423\nYVB to GRW: 5207\nLAZ to KWE: 17227\nLAZ to LTX: 6679\nLAZ to SFT: 10528\nLAZ to GRW: 7680\nSFT to KWE: 8050\nSFT to LTX: 11517\nSFT to GRW: 4741\nLTX to KWE: 17457\nLTX to GRW: 9018\nKWE to GRW: 11580\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 55939,
"style": "rule"
}
|
{
"exact_answer": 55939,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"NNG\", \"id\": 0}, {\"name\": \"RPR\", \"id\": 1}, {\"name\": \"SRV\", \"id\": 2}, {\"name\": \"YVB\", \"id\": 3}, {\"name\": \"LAZ\", \"id\": 4}, {\"name\": \"SFT\", \"id\": 5}, {\"name\": \"LTX\", \"id\": 6}, {\"name\": \"KWE\", \"id\": 7}, {\"name\": \"GRW\", \"id\": 8}], \"links\": [{\"weight\": 457, \"source\": 0, \"target\": 7}, {\"weight\": 2800, \"source\": 0, \"target\": 1}, {\"weight\": 13748, \"source\": 0, \"target\": 2}, {\"weight\": 17682, \"source\": 0, \"target\": 4}, {\"weight\": 17797, \"source\": 0, \"target\": 6}, {\"weight\": 8501, \"source\": 0, \"target\": 5}, {\"weight\": 13856, \"source\": 0, \"target\": 3}, {\"weight\": 12034, \"source\": 0, \"target\": 8}, {\"weight\": 2628, \"source\": 1, \"target\": 7}, {\"weight\": 15972, \"source\": 1, \"target\": 2}, {\"weight\": 15367, \"source\": 1, \"target\": 4}, {\"weight\": 17225, \"source\": 1, \"target\": 6}, {\"weight\": 7102, \"source\": 1, \"target\": 5}, {\"weight\": 13061, \"source\": 1, \"target\": 3}, {\"weight\": 10268, \"source\": 1, \"target\": 8}, {\"weight\": 13427, \"source\": 2, \"target\": 7}, {\"weight\": 13934, \"source\": 2, \"target\": 4}, {\"weight\": 10069, \"source\": 2, \"target\": 6}, {\"weight\": 11521, \"source\": 2, \"target\": 5}, {\"weight\": 6933, \"source\": 2, \"target\": 3}, {\"weight\": 10564, \"source\": 2, \"target\": 8}, {\"weight\": 13516, \"source\": 3, \"target\": 7}, {\"weight\": 9291, \"source\": 3, \"target\": 4}, {\"weight\": 6120, \"source\": 3, \"target\": 6}, {\"weight\": 7423, \"source\": 3, \"target\": 5}, {\"weight\": 5207, \"source\": 3, \"target\": 8}, {\"weight\": 17227, \"source\": 4, \"target\": 7}, {\"weight\": 6679, \"source\": 4, \"target\": 6}, {\"weight\": 10528, \"source\": 4, \"target\": 5}, {\"weight\": 7680, \"source\": 4, \"target\": 8}, {\"weight\": 8050, \"source\": 5, \"target\": 7}, {\"weight\": 11517, \"source\": 5, \"target\": 6}, {\"weight\": 4741, \"source\": 5, \"target\": 8}, {\"weight\": 17457, \"source\": 6, \"target\": 7}, {\"weight\": 9018, \"source\": 6, \"target\": 8}, {\"weight\": 11580, \"source\": 7, \"target\": 8}]}",
"id": 1063,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: NNG, RPR, SRV, YVB, LAZ, SFT, LTX, KWE, GRW\n- Travel distances (in kilometers) between each pair of airports:\nNNG to KWE: 457\nNNG to RPR: 2800\nNNG to SRV: 13748\nNNG to LAZ: 17682\nNNG to LTX: 17797\nNNG to SFT: 8501\nNNG to YVB: 13856\nNNG to GRW: 12034\nRPR to KWE: 2628\nRPR to SRV: 15972\nRPR to LAZ: 15367\nRPR to LTX: 17225\nRPR to SFT: 7102\nRPR to YVB: 13061\nRPR to GRW: 10268\nSRV to KWE: 13427\nSRV to LAZ: 13934\nSRV to LTX: 10069\nSRV to SFT: 11521\nSRV to YVB: 6933\nSRV to GRW: 10564\nYVB to KWE: 13516\nYVB to LAZ: 9291\nYVB to LTX: 6120\nYVB to SFT: 7423\nYVB to GRW: 5207\nLAZ to KWE: 17227\nLAZ to LTX: 6679\nLAZ to SFT: 10528\nLAZ to GRW: 7680\nSFT to KWE: 8050\nSFT to LTX: 11517\nSFT to GRW: 4741\nLTX to KWE: 17457\nLTX to GRW: 9018\nKWE to GRW: 11580\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, MKY, TEE, BIS, ALB, ATA, GRV, VLL, MUN\n- Travel distances (in kilometers) between each pair of airports:\nUGB to GRV: 13585\nUGB to ALB: 6228\nUGB to TEE: 12729\nUGB to BIS: 5275\nUGB to VLL: 12324\nUGB to MKY: 13437\nUGB to MUN: 9662\nUGB to ATA: 11228\nMKY to GRV: 14744\nMKY to ALB: 16291\nMKY to TEE: 16887\nMKY to BIS: 14394\nMKY to VLL: 16835\nMKY to MUN: 18082\nMKY to ATA: 15507\nTEE to GRV: 5256\nTEE to ALB: 6891\nTEE to BIS: 8880\nTEE to VLL: 1465\nTEE to MUN: 8502\nTEE to ATA: 11013\nBIS to GRV: 10712\nBIS to ALB: 2191\nBIS to VLL: 8632\nBIS to MUN: 5587\nBIS to ATA: 7462\nALB to GRV: 8941\nALB to VLL: 6766\nALB to MUN: 4079\nALB to ATA: 6401\nATA to GRV: 14459\nATA to VLL: 10888\nATA to MUN: 3484\nGRV to VLL: 5059\nGRV to MUN: 11395\nVLL to MUN: 8496\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 60558,
"style": "rule"
}
|
{
"exact_answer": 60558,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"UGB\", \"id\": 0}, {\"name\": \"MKY\", \"id\": 1}, {\"name\": \"TEE\", \"id\": 2}, {\"name\": \"BIS\", \"id\": 3}, {\"name\": \"ALB\", \"id\": 4}, {\"name\": \"ATA\", \"id\": 5}, {\"name\": \"GRV\", \"id\": 6}, {\"name\": \"VLL\", \"id\": 7}, {\"name\": \"MUN\", \"id\": 8}], \"links\": [{\"weight\": 13585, \"source\": 0, \"target\": 6}, {\"weight\": 6228, \"source\": 0, \"target\": 4}, {\"weight\": 12729, \"source\": 0, \"target\": 2}, {\"weight\": 5275, \"source\": 0, \"target\": 3}, {\"weight\": 12324, \"source\": 0, \"target\": 7}, {\"weight\": 13437, \"source\": 0, \"target\": 1}, {\"weight\": 9662, \"source\": 0, \"target\": 8}, {\"weight\": 11228, \"source\": 0, \"target\": 5}, {\"weight\": 14744, \"source\": 1, \"target\": 6}, {\"weight\": 16291, \"source\": 1, \"target\": 4}, {\"weight\": 16887, \"source\": 1, \"target\": 2}, {\"weight\": 14394, \"source\": 1, \"target\": 3}, {\"weight\": 16835, \"source\": 1, \"target\": 7}, {\"weight\": 18082, \"source\": 1, \"target\": 8}, {\"weight\": 15507, \"source\": 1, \"target\": 5}, {\"weight\": 5256, \"source\": 2, \"target\": 6}, {\"weight\": 6891, \"source\": 2, \"target\": 4}, {\"weight\": 8880, \"source\": 2, \"target\": 3}, {\"weight\": 1465, \"source\": 2, \"target\": 7}, {\"weight\": 8502, \"source\": 2, \"target\": 8}, {\"weight\": 11013, \"source\": 2, \"target\": 5}, {\"weight\": 10712, \"source\": 3, \"target\": 6}, {\"weight\": 2191, \"source\": 3, \"target\": 4}, {\"weight\": 8632, \"source\": 3, \"target\": 7}, {\"weight\": 5587, \"source\": 3, \"target\": 8}, {\"weight\": 7462, \"source\": 3, \"target\": 5}, {\"weight\": 8941, \"source\": 4, \"target\": 6}, {\"weight\": 6766, \"source\": 4, \"target\": 7}, {\"weight\": 4079, \"source\": 4, \"target\": 8}, {\"weight\": 6401, \"source\": 4, \"target\": 5}, {\"weight\": 14459, \"source\": 5, \"target\": 6}, {\"weight\": 10888, \"source\": 5, \"target\": 7}, {\"weight\": 3484, \"source\": 5, \"target\": 8}, {\"weight\": 5059, \"source\": 6, \"target\": 7}, {\"weight\": 11395, \"source\": 6, \"target\": 8}, {\"weight\": 8496, \"source\": 7, \"target\": 8}]}",
"id": 1064,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, MKY, TEE, BIS, ALB, ATA, GRV, VLL, MUN\n- Travel distances (in kilometers) between each pair of airports:\nUGB to GRV: 13585\nUGB to ALB: 6228\nUGB to TEE: 12729\nUGB to BIS: 5275\nUGB to VLL: 12324\nUGB to MKY: 13437\nUGB to MUN: 9662\nUGB to ATA: 11228\nMKY to GRV: 14744\nMKY to ALB: 16291\nMKY to TEE: 16887\nMKY to BIS: 14394\nMKY to VLL: 16835\nMKY to MUN: 18082\nMKY to ATA: 15507\nTEE to GRV: 5256\nTEE to ALB: 6891\nTEE to BIS: 8880\nTEE to VLL: 1465\nTEE to MUN: 8502\nTEE to ATA: 11013\nBIS to GRV: 10712\nBIS to ALB: 2191\nBIS to VLL: 8632\nBIS to MUN: 5587\nBIS to ATA: 7462\nALB to GRV: 8941\nALB to VLL: 6766\nALB to MUN: 4079\nALB to ATA: 6401\nATA to GRV: 14459\nATA to VLL: 10888\nATA to MUN: 3484\nGRV to VLL: 5059\nGRV to MUN: 11395\nVLL to MUN: 8496\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: KSD, NNB, GFK, IBZ, LNV, YPR, OBO, ICN, LEQ\n- Travel distances (in kilometers) between each pair of airports:\nKSD to ICN: 7689\nKSD to IBZ: 2731\nKSD to GFK: 8106\nKSD to YPR: 8885\nKSD to LNV: 14458\nKSD to OBO: 9549\nKSD to NNB: 15244\nKSD to LEQ: 2205\nNNB to ICN: 8049\nNNB to IBZ: 17088\nNNB to GFK: 13649\nNNB to YPR: 12614\nNNB to LNV: 2644\nNNB to OBO: 8264\nNNB to LEQ: 16915\nGFK to ICN: 10960\nGFK to IBZ: 8080\nGFK to YPR: 3514\nGFK to LNV: 15566\nGFK to OBO: 11169\nGFK to LEQ: 7432\nIBZ to ICN: 9839\nIBZ to YPR: 9725\nIBZ to LNV: 16302\nIBZ to OBO: 11553\nIBZ to LEQ: 1679\nLNV to ICN: 7263\nLNV to YPR: 14263\nLNV to OBO: 7478\nLNV to LEQ: 16129\nYPR to ICN: 8954\nYPR to OBO: 9163\nYPR to LEQ: 8622\nOBO to ICN: 2061\nOBO to LEQ: 11214\nICN to LEQ: 9374\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 47842,
"style": "rule"
}
|
{
"exact_answer": 47842,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"KSD\", \"id\": 0}, {\"name\": \"NNB\", \"id\": 1}, {\"name\": \"GFK\", \"id\": 2}, {\"name\": \"IBZ\", \"id\": 3}, {\"name\": \"LNV\", \"id\": 4}, {\"name\": \"YPR\", \"id\": 5}, {\"name\": \"OBO\", \"id\": 6}, {\"name\": \"ICN\", \"id\": 7}, {\"name\": \"LEQ\", \"id\": 8}], \"links\": [{\"weight\": 7689, \"source\": 0, \"target\": 7}, {\"weight\": 2731, \"source\": 0, \"target\": 3}, {\"weight\": 8106, \"source\": 0, \"target\": 2}, {\"weight\": 8885, \"source\": 0, \"target\": 5}, {\"weight\": 14458, \"source\": 0, \"target\": 4}, {\"weight\": 9549, \"source\": 0, \"target\": 6}, {\"weight\": 15244, \"source\": 0, \"target\": 1}, {\"weight\": 2205, \"source\": 0, \"target\": 8}, {\"weight\": 8049, \"source\": 1, \"target\": 7}, {\"weight\": 17088, \"source\": 1, \"target\": 3}, {\"weight\": 13649, \"source\": 1, \"target\": 2}, {\"weight\": 12614, \"source\": 1, \"target\": 5}, {\"weight\": 2644, \"source\": 1, \"target\": 4}, {\"weight\": 8264, \"source\": 1, \"target\": 6}, {\"weight\": 16915, \"source\": 1, \"target\": 8}, {\"weight\": 10960, \"source\": 2, \"target\": 7}, {\"weight\": 8080, \"source\": 2, \"target\": 3}, {\"weight\": 3514, \"source\": 2, \"target\": 5}, {\"weight\": 15566, \"source\": 2, \"target\": 4}, {\"weight\": 11169, \"source\": 2, \"target\": 6}, {\"weight\": 7432, \"source\": 2, \"target\": 8}, {\"weight\": 9839, \"source\": 3, \"target\": 7}, {\"weight\": 9725, \"source\": 3, \"target\": 5}, {\"weight\": 16302, \"source\": 3, \"target\": 4}, {\"weight\": 11553, \"source\": 3, \"target\": 6}, {\"weight\": 1679, \"source\": 3, \"target\": 8}, {\"weight\": 7263, \"source\": 4, \"target\": 7}, {\"weight\": 14263, \"source\": 4, \"target\": 5}, {\"weight\": 7478, \"source\": 4, \"target\": 6}, {\"weight\": 16129, \"source\": 4, \"target\": 8}, {\"weight\": 8954, \"source\": 5, \"target\": 7}, {\"weight\": 9163, \"source\": 5, \"target\": 6}, {\"weight\": 8622, \"source\": 5, \"target\": 8}, {\"weight\": 2061, \"source\": 6, \"target\": 7}, {\"weight\": 11214, \"source\": 6, \"target\": 8}, {\"weight\": 9374, \"source\": 7, \"target\": 8}]}",
"id": 1065,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: KSD, NNB, GFK, IBZ, LNV, YPR, OBO, ICN, LEQ\n- Travel distances (in kilometers) between each pair of airports:\nKSD to ICN: 7689\nKSD to IBZ: 2731\nKSD to GFK: 8106\nKSD to YPR: 8885\nKSD to LNV: 14458\nKSD to OBO: 9549\nKSD to NNB: 15244\nKSD to LEQ: 2205\nNNB to ICN: 8049\nNNB to IBZ: 17088\nNNB to GFK: 13649\nNNB to YPR: 12614\nNNB to LNV: 2644\nNNB to OBO: 8264\nNNB to LEQ: 16915\nGFK to ICN: 10960\nGFK to IBZ: 8080\nGFK to YPR: 3514\nGFK to LNV: 15566\nGFK to OBO: 11169\nGFK to LEQ: 7432\nIBZ to ICN: 9839\nIBZ to YPR: 9725\nIBZ to LNV: 16302\nIBZ to OBO: 11553\nIBZ to LEQ: 1679\nLNV to ICN: 7263\nLNV to YPR: 14263\nLNV to OBO: 7478\nLNV to LEQ: 16129\nYPR to ICN: 8954\nYPR to OBO: 9163\nYPR to LEQ: 8622\nOBO to ICN: 2061\nOBO to LEQ: 11214\nICN to LEQ: 9374\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: DGA, CFU, BNN, JOL, AGA, KPB, BFN, EBH, ILD\n- Travel distances (in kilometers) between each pair of airports:\nDGA to CFU: 10366\nDGA to EBH: 9458\nDGA to AGA: 8955\nDGA to ILD: 9241\nDGA to BFN: 14354\nDGA to KPB: 5872\nDGA to JOL: 16134\nDGA to BNN: 8996\nCFU to EBH: 2239\nCFU to AGA: 3008\nCFU to ILD: 1835\nCFU to BFN: 8146\nCFU to KPB: 10912\nCFU to JOL: 10925\nCFU to BNN: 2960\nBNN to EBH: 3648\nBNN to AGA: 4181\nBNN to ILD: 3252\nBNN to BFN: 10728\nBNN to KPB: 8928\nBNN to JOL: 11108\nJOL to EBH: 12780\nJOL to AGA: 13784\nJOL to ILD: 12623\nJOL to BFN: 11967\nJOL to KPB: 12770\nAGA to EBH: 1817\nAGA to ILD: 1855\nAGA to BFN: 8380\nAGA to KPB: 11038\nKPB to EBH: 10971\nKPB to ILD: 10567\nKPB to BFN: 18350\nBFN to EBH: 8656\nBFN to ILD: 8892\nEBH to ILD: 1014\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 55611,
"style": "rule"
}
|
{
"exact_answer": 55611,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"DGA\", \"id\": 0}, {\"name\": \"CFU\", \"id\": 1}, {\"name\": \"BNN\", \"id\": 2}, {\"name\": \"JOL\", \"id\": 3}, {\"name\": \"AGA\", \"id\": 4}, {\"name\": \"KPB\", \"id\": 5}, {\"name\": \"BFN\", \"id\": 6}, {\"name\": \"EBH\", \"id\": 7}, {\"name\": \"ILD\", \"id\": 8}], \"links\": [{\"weight\": 10366, \"source\": 0, \"target\": 1}, {\"weight\": 9458, \"source\": 0, \"target\": 7}, {\"weight\": 8955, \"source\": 0, \"target\": 4}, {\"weight\": 9241, \"source\": 0, \"target\": 8}, {\"weight\": 14354, \"source\": 0, \"target\": 6}, {\"weight\": 5872, \"source\": 0, \"target\": 5}, {\"weight\": 16134, \"source\": 0, \"target\": 3}, {\"weight\": 8996, \"source\": 0, \"target\": 2}, {\"weight\": 2239, \"source\": 1, \"target\": 7}, {\"weight\": 3008, \"source\": 1, \"target\": 4}, {\"weight\": 1835, \"source\": 1, \"target\": 8}, {\"weight\": 8146, \"source\": 1, \"target\": 6}, {\"weight\": 10912, \"source\": 1, \"target\": 5}, {\"weight\": 10925, \"source\": 1, \"target\": 3}, {\"weight\": 2960, \"source\": 1, \"target\": 2}, {\"weight\": 3648, \"source\": 2, \"target\": 7}, {\"weight\": 4181, \"source\": 2, \"target\": 4}, {\"weight\": 3252, \"source\": 2, \"target\": 8}, {\"weight\": 10728, \"source\": 2, \"target\": 6}, {\"weight\": 8928, \"source\": 2, \"target\": 5}, {\"weight\": 11108, \"source\": 2, \"target\": 3}, {\"weight\": 12780, \"source\": 3, \"target\": 7}, {\"weight\": 13784, \"source\": 3, \"target\": 4}, {\"weight\": 12623, \"source\": 3, \"target\": 8}, {\"weight\": 11967, \"source\": 3, \"target\": 6}, {\"weight\": 12770, \"source\": 3, \"target\": 5}, {\"weight\": 1817, \"source\": 4, \"target\": 7}, {\"weight\": 1855, \"source\": 4, \"target\": 8}, {\"weight\": 8380, \"source\": 4, \"target\": 6}, {\"weight\": 11038, \"source\": 4, \"target\": 5}, {\"weight\": 10971, \"source\": 5, \"target\": 7}, {\"weight\": 10567, \"source\": 5, \"target\": 8}, {\"weight\": 18350, \"source\": 5, \"target\": 6}, {\"weight\": 8656, \"source\": 6, \"target\": 7}, {\"weight\": 8892, \"source\": 6, \"target\": 8}, {\"weight\": 1014, \"source\": 7, \"target\": 8}]}",
"id": 1066,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: DGA, CFU, BNN, JOL, AGA, KPB, BFN, EBH, ILD\n- Travel distances (in kilometers) between each pair of airports:\nDGA to CFU: 10366\nDGA to EBH: 9458\nDGA to AGA: 8955\nDGA to ILD: 9241\nDGA to BFN: 14354\nDGA to KPB: 5872\nDGA to JOL: 16134\nDGA to BNN: 8996\nCFU to EBH: 2239\nCFU to AGA: 3008\nCFU to ILD: 1835\nCFU to BFN: 8146\nCFU to KPB: 10912\nCFU to JOL: 10925\nCFU to BNN: 2960\nBNN to EBH: 3648\nBNN to AGA: 4181\nBNN to ILD: 3252\nBNN to BFN: 10728\nBNN to KPB: 8928\nBNN to JOL: 11108\nJOL to EBH: 12780\nJOL to AGA: 13784\nJOL to ILD: 12623\nJOL to BFN: 11967\nJOL to KPB: 12770\nAGA to EBH: 1817\nAGA to ILD: 1855\nAGA to BFN: 8380\nAGA to KPB: 11038\nKPB to EBH: 10971\nKPB to ILD: 10567\nKPB to BFN: 18350\nBFN to EBH: 8656\nBFN to ILD: 8892\nEBH to ILD: 1014\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: VAK, OKL, YEK, OAJ, IGA, JDO, LBS, LEX, YYC\n- Travel distances (in kilometers) between each pair of airports:\nVAK to YYC: 3907\nVAK to YEK: 6362\nVAK to LEX: 5944\nVAK to OAJ: 6695\nVAK to JDO: 13206\nVAK to LBS: 10684\nVAK to OKL: 18884\nVAK to IGA: 8123\nOKL to YYC: 16025\nOKL to YEK: 18480\nOKL to LEX: 18636\nOKL to OAJ: 19241\nOKL to JDO: 21542\nOKL to LBS: 10305\nOKL to IGA: 20825\nYEK to YYC: 2455\nYEK to LEX: 2921\nYEK to OAJ: 3671\nYEK to JDO: 10182\nYEK to LBS: 12833\nYEK to IGA: 5110\nOAJ to YYC: 3490\nOAJ to LEX: 759\nOAJ to JDO: 7135\nOAJ to LBS: 12855\nOAJ to IGA: 2081\nIGA to YYC: 4843\nIGA to LEX: 2228\nIGA to JDO: 6452\nIGA to LBS: 13787\nJDO to YYC: 10005\nJDO to LEX: 7282\nJDO to LBS: 16558\nLBS to YYC: 10385\nLBS to LEX: 12382\nLEX to YYC: 2733\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 61106,
"style": "rule"
}
|
{
"exact_answer": 61106,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"VAK\", \"id\": 0}, {\"name\": \"OKL\", \"id\": 1}, {\"name\": \"YEK\", \"id\": 2}, {\"name\": \"OAJ\", \"id\": 3}, {\"name\": \"IGA\", \"id\": 4}, {\"name\": \"JDO\", \"id\": 5}, {\"name\": \"LBS\", \"id\": 6}, {\"name\": \"LEX\", \"id\": 7}, {\"name\": \"YYC\", \"id\": 8}], \"links\": [{\"weight\": 3907, \"source\": 0, \"target\": 8}, {\"weight\": 6362, \"source\": 0, \"target\": 2}, {\"weight\": 5944, \"source\": 0, \"target\": 7}, {\"weight\": 6695, \"source\": 0, \"target\": 3}, {\"weight\": 13206, \"source\": 0, \"target\": 5}, {\"weight\": 10684, \"source\": 0, \"target\": 6}, {\"weight\": 18884, \"source\": 0, \"target\": 1}, {\"weight\": 8123, \"source\": 0, \"target\": 4}, {\"weight\": 16025, \"source\": 1, \"target\": 8}, {\"weight\": 18480, \"source\": 1, \"target\": 2}, {\"weight\": 18636, \"source\": 1, \"target\": 7}, {\"weight\": 19241, \"source\": 1, \"target\": 3}, {\"weight\": 21542, \"source\": 1, \"target\": 5}, {\"weight\": 10305, \"source\": 1, \"target\": 6}, {\"weight\": 20825, \"source\": 1, \"target\": 4}, {\"weight\": 2455, \"source\": 2, \"target\": 8}, {\"weight\": 2921, \"source\": 2, \"target\": 7}, {\"weight\": 3671, \"source\": 2, \"target\": 3}, {\"weight\": 10182, \"source\": 2, \"target\": 5}, {\"weight\": 12833, \"source\": 2, \"target\": 6}, {\"weight\": 5110, \"source\": 2, \"target\": 4}, {\"weight\": 3490, \"source\": 3, \"target\": 8}, {\"weight\": 759, \"source\": 3, \"target\": 7}, {\"weight\": 7135, \"source\": 3, \"target\": 5}, {\"weight\": 12855, \"source\": 3, \"target\": 6}, {\"weight\": 2081, \"source\": 3, \"target\": 4}, {\"weight\": 4843, \"source\": 4, \"target\": 8}, {\"weight\": 2228, \"source\": 4, \"target\": 7}, {\"weight\": 6452, \"source\": 4, \"target\": 5}, {\"weight\": 13787, \"source\": 4, \"target\": 6}, {\"weight\": 10005, \"source\": 5, \"target\": 8}, {\"weight\": 7282, \"source\": 5, \"target\": 7}, {\"weight\": 16558, \"source\": 5, \"target\": 6}, {\"weight\": 10385, \"source\": 6, \"target\": 8}, {\"weight\": 12382, \"source\": 6, \"target\": 7}, {\"weight\": 2733, \"source\": 7, \"target\": 8}]}",
"id": 1067,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: VAK, OKL, YEK, OAJ, IGA, JDO, LBS, LEX, YYC\n- Travel distances (in kilometers) between each pair of airports:\nVAK to YYC: 3907\nVAK to YEK: 6362\nVAK to LEX: 5944\nVAK to OAJ: 6695\nVAK to JDO: 13206\nVAK to LBS: 10684\nVAK to OKL: 18884\nVAK to IGA: 8123\nOKL to YYC: 16025\nOKL to YEK: 18480\nOKL to LEX: 18636\nOKL to OAJ: 19241\nOKL to JDO: 21542\nOKL to LBS: 10305\nOKL to IGA: 20825\nYEK to YYC: 2455\nYEK to LEX: 2921\nYEK to OAJ: 3671\nYEK to JDO: 10182\nYEK to LBS: 12833\nYEK to IGA: 5110\nOAJ to YYC: 3490\nOAJ to LEX: 759\nOAJ to JDO: 7135\nOAJ to LBS: 12855\nOAJ to IGA: 2081\nIGA to YYC: 4843\nIGA to LEX: 2228\nIGA to JDO: 6452\nIGA to LBS: 13787\nJDO to YYC: 10005\nJDO to LEX: 7282\nJDO to LBS: 16558\nLBS to YYC: 10385\nLBS to LEX: 12382\nLEX to YYC: 2733\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: HPN, SCZ, KSO, SHB, YYQ, KJA, KRK, DIB, PAZ\n- Travel distances (in kilometers) between each pair of airports:\nHPN to KRK: 6993\nHPN to YYQ: 3248\nHPN to DIB: 13674\nHPN to KJA: 10543\nHPN to PAZ: 3610\nHPN to KSO: 8376\nHPN to SCZ: 15614\nHPN to SHB: 12107\nSCZ to KRK: 15595\nSCZ to YYQ: 15062\nSCZ to DIB: 10219\nSCZ to KJA: 11360\nSCZ to PAZ: 14340\nSCZ to KSO: 16036\nSCZ to SHB: 8195\nKSO to KRK: 1959\nKSO to YYQ: 10623\nKSO to DIB: 7121\nKSO to KJA: 5701\nKSO to PAZ: 11869\nKSO to SHB: 9968\nSHB to KRK: 8727\nSHB to YYQ: 11204\nSHB to DIB: 6612\nSHB to KJA: 4302\nSHB to PAZ: 12519\nYYQ to KRK: 9279\nYYQ to DIB: 15584\nYYQ to KJA: 12972\nYYQ to PAZ: 4730\nKJA to KRK: 4668\nKJA to DIB: 5392\nKJA to PAZ: 13924\nKRK to DIB: 7344\nKRK to PAZ: 10467\nDIB to PAZ: 16711\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 56280,
"style": "rule"
}
|
{
"exact_answer": 56280,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"HPN\", \"id\": 0}, {\"name\": \"SCZ\", \"id\": 1}, {\"name\": \"KSO\", \"id\": 2}, {\"name\": \"SHB\", \"id\": 3}, {\"name\": \"YYQ\", \"id\": 4}, {\"name\": \"KJA\", \"id\": 5}, {\"name\": \"KRK\", \"id\": 6}, {\"name\": \"DIB\", \"id\": 7}, {\"name\": \"PAZ\", \"id\": 8}], \"links\": [{\"weight\": 6993, \"source\": 0, \"target\": 6}, {\"weight\": 3248, \"source\": 0, \"target\": 4}, {\"weight\": 13674, \"source\": 0, \"target\": 7}, {\"weight\": 10543, \"source\": 0, \"target\": 5}, {\"weight\": 3610, \"source\": 0, \"target\": 8}, {\"weight\": 8376, \"source\": 0, \"target\": 2}, {\"weight\": 15614, \"source\": 0, \"target\": 1}, {\"weight\": 12107, \"source\": 0, \"target\": 3}, {\"weight\": 15595, \"source\": 1, \"target\": 6}, {\"weight\": 15062, \"source\": 1, \"target\": 4}, {\"weight\": 10219, \"source\": 1, \"target\": 7}, {\"weight\": 11360, \"source\": 1, \"target\": 5}, {\"weight\": 14340, \"source\": 1, \"target\": 8}, {\"weight\": 16036, \"source\": 1, \"target\": 2}, {\"weight\": 8195, \"source\": 1, \"target\": 3}, {\"weight\": 1959, \"source\": 2, \"target\": 6}, {\"weight\": 10623, \"source\": 2, \"target\": 4}, {\"weight\": 7121, \"source\": 2, \"target\": 7}, {\"weight\": 5701, \"source\": 2, \"target\": 5}, {\"weight\": 11869, \"source\": 2, \"target\": 8}, {\"weight\": 9968, \"source\": 2, \"target\": 3}, {\"weight\": 8727, \"source\": 3, \"target\": 6}, {\"weight\": 11204, \"source\": 3, \"target\": 4}, {\"weight\": 6612, \"source\": 3, \"target\": 7}, {\"weight\": 4302, \"source\": 3, \"target\": 5}, {\"weight\": 12519, \"source\": 3, \"target\": 8}, {\"weight\": 9279, \"source\": 4, \"target\": 6}, {\"weight\": 15584, \"source\": 4, \"target\": 7}, {\"weight\": 12972, \"source\": 4, \"target\": 5}, {\"weight\": 4730, \"source\": 4, \"target\": 8}, {\"weight\": 4668, \"source\": 5, \"target\": 6}, {\"weight\": 5392, \"source\": 5, \"target\": 7}, {\"weight\": 13924, \"source\": 5, \"target\": 8}, {\"weight\": 7344, \"source\": 6, \"target\": 7}, {\"weight\": 10467, \"source\": 6, \"target\": 8}, {\"weight\": 16711, \"source\": 7, \"target\": 8}]}",
"id": 1068,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: HPN, SCZ, KSO, SHB, YYQ, KJA, KRK, DIB, PAZ\n- Travel distances (in kilometers) between each pair of airports:\nHPN to KRK: 6993\nHPN to YYQ: 3248\nHPN to DIB: 13674\nHPN to KJA: 10543\nHPN to PAZ: 3610\nHPN to KSO: 8376\nHPN to SCZ: 15614\nHPN to SHB: 12107\nSCZ to KRK: 15595\nSCZ to YYQ: 15062\nSCZ to DIB: 10219\nSCZ to KJA: 11360\nSCZ to PAZ: 14340\nSCZ to KSO: 16036\nSCZ to SHB: 8195\nKSO to KRK: 1959\nKSO to YYQ: 10623\nKSO to DIB: 7121\nKSO to KJA: 5701\nKSO to PAZ: 11869\nKSO to SHB: 9968\nSHB to KRK: 8727\nSHB to YYQ: 11204\nSHB to DIB: 6612\nSHB to KJA: 4302\nSHB to PAZ: 12519\nYYQ to KRK: 9279\nYYQ to DIB: 15584\nYYQ to KJA: 12972\nYYQ to PAZ: 4730\nKJA to KRK: 4668\nKJA to DIB: 5392\nKJA to PAZ: 13924\nKRK to DIB: 7344\nKRK to PAZ: 10467\nDIB to PAZ: 16711\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PDX, PIE, GUC, GZP, MME, EVE, NDB, ACX, SJP\n- Travel distances (in kilometers) between each pair of airports:\nPDX to SJP: 10718\nPDX to GZP: 10763\nPDX to MME: 8134\nPDX to EVE: 8267\nPDX to ACX: 10889\nPDX to PIE: 4055\nPDX to NDB: 10214\nPDX to GUC: 1836\nPIE to SJP: 8186\nPIE to GZP: 10330\nPIE to MME: 7579\nPIE to EVE: 8072\nPIE to ACX: 14197\nPIE to NDB: 8152\nPIE to GUC: 2707\nGUC to SJP: 9370\nGUC to GZP: 10714\nGUC to MME: 8085\nGUC to EVE: 8218\nGUC to ACX: 12527\nGUC to NDB: 9192\nGZP to SJP: 11435\nGZP to MME: 3285\nGZP to EVE: 3979\nGZP to ACX: 7796\nGZP to NDB: 5668\nMME to SJP: 10187\nMME to EVE: 1911\nMME to ACX: 9167\nMME to NDB: 4455\nEVE to SJP: 11522\nEVE to ACX: 8725\nEVE to NDB: 5775\nNDB to SJP: 6307\nNDB to ACX: 12547\nACX to SJP: 17987\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 48066,
"style": "rule"
}
|
{
"exact_answer": 48066,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"PDX\", \"id\": 0}, {\"name\": \"PIE\", \"id\": 1}, {\"name\": \"GUC\", \"id\": 2}, {\"name\": \"GZP\", \"id\": 3}, {\"name\": \"MME\", \"id\": 4}, {\"name\": \"EVE\", \"id\": 5}, {\"name\": \"NDB\", \"id\": 6}, {\"name\": \"ACX\", \"id\": 7}, {\"name\": \"SJP\", \"id\": 8}], \"links\": [{\"weight\": 10718, \"source\": 0, \"target\": 8}, {\"weight\": 10763, \"source\": 0, \"target\": 3}, {\"weight\": 8134, \"source\": 0, \"target\": 4}, {\"weight\": 8267, \"source\": 0, \"target\": 5}, {\"weight\": 10889, \"source\": 0, \"target\": 7}, {\"weight\": 4055, \"source\": 0, \"target\": 1}, {\"weight\": 10214, \"source\": 0, \"target\": 6}, {\"weight\": 1836, \"source\": 0, \"target\": 2}, {\"weight\": 8186, \"source\": 1, \"target\": 8}, {\"weight\": 10330, \"source\": 1, \"target\": 3}, {\"weight\": 7579, \"source\": 1, \"target\": 4}, {\"weight\": 8072, \"source\": 1, \"target\": 5}, {\"weight\": 14197, \"source\": 1, \"target\": 7}, {\"weight\": 8152, \"source\": 1, \"target\": 6}, {\"weight\": 2707, \"source\": 1, \"target\": 2}, {\"weight\": 9370, \"source\": 2, \"target\": 8}, {\"weight\": 10714, \"source\": 2, \"target\": 3}, {\"weight\": 8085, \"source\": 2, \"target\": 4}, {\"weight\": 8218, \"source\": 2, \"target\": 5}, {\"weight\": 12527, \"source\": 2, \"target\": 7}, {\"weight\": 9192, \"source\": 2, \"target\": 6}, {\"weight\": 11435, \"source\": 3, \"target\": 8}, {\"weight\": 3285, \"source\": 3, \"target\": 4}, {\"weight\": 3979, \"source\": 3, \"target\": 5}, {\"weight\": 7796, \"source\": 3, \"target\": 7}, {\"weight\": 5668, \"source\": 3, \"target\": 6}, {\"weight\": 10187, \"source\": 4, \"target\": 8}, {\"weight\": 1911, \"source\": 4, \"target\": 5}, {\"weight\": 9167, \"source\": 4, \"target\": 7}, {\"weight\": 4455, \"source\": 4, \"target\": 6}, {\"weight\": 11522, \"source\": 5, \"target\": 8}, {\"weight\": 8725, \"source\": 5, \"target\": 7}, {\"weight\": 5775, \"source\": 5, \"target\": 6}, {\"weight\": 6307, \"source\": 6, \"target\": 8}, {\"weight\": 12547, \"source\": 6, \"target\": 7}, {\"weight\": 17987, \"source\": 7, \"target\": 8}]}",
"id": 1069,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PDX, PIE, GUC, GZP, MME, EVE, NDB, ACX, SJP\n- Travel distances (in kilometers) between each pair of airports:\nPDX to SJP: 10718\nPDX to GZP: 10763\nPDX to MME: 8134\nPDX to EVE: 8267\nPDX to ACX: 10889\nPDX to PIE: 4055\nPDX to NDB: 10214\nPDX to GUC: 1836\nPIE to SJP: 8186\nPIE to GZP: 10330\nPIE to MME: 7579\nPIE to EVE: 8072\nPIE to ACX: 14197\nPIE to NDB: 8152\nPIE to GUC: 2707\nGUC to SJP: 9370\nGUC to GZP: 10714\nGUC to MME: 8085\nGUC to EVE: 8218\nGUC to ACX: 12527\nGUC to NDB: 9192\nGZP to SJP: 11435\nGZP to MME: 3285\nGZP to EVE: 3979\nGZP to ACX: 7796\nGZP to NDB: 5668\nMME to SJP: 10187\nMME to EVE: 1911\nMME to ACX: 9167\nMME to NDB: 4455\nEVE to SJP: 11522\nEVE to ACX: 8725\nEVE to NDB: 5775\nNDB to SJP: 6307\nNDB to ACX: 12547\nACX to SJP: 17987\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: RHD, TSF, HRB, BBK, LEB, IPL, YLE, AVA, YZF\n- Travel distances (in kilometers) between each pair of airports:\nRHD to TSF: 12402\nRHD to HRB: 20376\nRHD to YZF: 13229\nRHD to YLE: 13391\nRHD to LEB: 10307\nRHD to BBK: 11110\nRHD to AVA: 20324\nRHD to IPL: 10895\nTSF to HRB: 8045\nTSF to YZF: 8901\nTSF to YLE: 9063\nTSF to LEB: 6535\nTSF to BBK: 9187\nTSF to AVA: 8568\nTSF to IPL: 10079\nHRB to YZF: 10836\nHRB to YLE: 10998\nHRB to LEB: 12413\nHRB to BBK: 13360\nHRB to AVA: 2829\nHRB to IPL: 10679\nBBK to YZF: 16480\nBBK to YLE: 16642\nBBK to LEB: 13059\nBBK to AVA: 11707\nBBK to IPL: 16941\nLEB to YZF: 3771\nLEB to YLE: 3933\nLEB to AVA: 13306\nLEB to IPL: 4410\nIPL to YZF: 3473\nIPL to YLE: 3635\nIPL to AVA: 12172\nYLE to YZF: 162\nYLE to AVA: 12337\nAVA to YZF: 12175\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 58689,
"style": "rule"
}
|
{
"exact_answer": 58689,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"RHD\", \"id\": 0}, {\"name\": \"TSF\", \"id\": 1}, {\"name\": \"HRB\", \"id\": 2}, {\"name\": \"BBK\", \"id\": 3}, {\"name\": \"LEB\", \"id\": 4}, {\"name\": \"IPL\", \"id\": 5}, {\"name\": \"YLE\", \"id\": 6}, {\"name\": \"AVA\", \"id\": 7}, {\"name\": \"YZF\", \"id\": 8}], \"links\": [{\"weight\": 12402, \"source\": 0, \"target\": 1}, {\"weight\": 20376, \"source\": 0, \"target\": 2}, {\"weight\": 13229, \"source\": 0, \"target\": 8}, {\"weight\": 13391, \"source\": 0, \"target\": 6}, {\"weight\": 10307, \"source\": 0, \"target\": 4}, {\"weight\": 11110, \"source\": 0, \"target\": 3}, {\"weight\": 20324, \"source\": 0, \"target\": 7}, {\"weight\": 10895, \"source\": 0, \"target\": 5}, {\"weight\": 8045, \"source\": 1, \"target\": 2}, {\"weight\": 8901, \"source\": 1, \"target\": 8}, {\"weight\": 9063, \"source\": 1, \"target\": 6}, {\"weight\": 6535, \"source\": 1, \"target\": 4}, {\"weight\": 9187, \"source\": 1, \"target\": 3}, {\"weight\": 8568, \"source\": 1, \"target\": 7}, {\"weight\": 10079, \"source\": 1, \"target\": 5}, {\"weight\": 10836, \"source\": 2, \"target\": 8}, {\"weight\": 10998, \"source\": 2, \"target\": 6}, {\"weight\": 12413, \"source\": 2, \"target\": 4}, {\"weight\": 13360, \"source\": 2, \"target\": 3}, {\"weight\": 2829, \"source\": 2, \"target\": 7}, {\"weight\": 10679, \"source\": 2, \"target\": 5}, {\"weight\": 16480, \"source\": 3, \"target\": 8}, {\"weight\": 16642, \"source\": 3, \"target\": 6}, {\"weight\": 13059, \"source\": 3, \"target\": 4}, {\"weight\": 11707, \"source\": 3, \"target\": 7}, {\"weight\": 16941, \"source\": 3, \"target\": 5}, {\"weight\": 3771, \"source\": 4, \"target\": 8}, {\"weight\": 3933, \"source\": 4, \"target\": 6}, {\"weight\": 13306, \"source\": 4, \"target\": 7}, {\"weight\": 4410, \"source\": 4, \"target\": 5}, {\"weight\": 3473, \"source\": 5, \"target\": 8}, {\"weight\": 3635, \"source\": 5, \"target\": 6}, {\"weight\": 12172, \"source\": 5, \"target\": 7}, {\"weight\": 162, \"source\": 6, \"target\": 8}, {\"weight\": 12337, \"source\": 6, \"target\": 7}, {\"weight\": 12175, \"source\": 7, \"target\": 8}]}",
"id": 1070,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: RHD, TSF, HRB, BBK, LEB, IPL, YLE, AVA, YZF\n- Travel distances (in kilometers) between each pair of airports:\nRHD to TSF: 12402\nRHD to HRB: 20376\nRHD to YZF: 13229\nRHD to YLE: 13391\nRHD to LEB: 10307\nRHD to BBK: 11110\nRHD to AVA: 20324\nRHD to IPL: 10895\nTSF to HRB: 8045\nTSF to YZF: 8901\nTSF to YLE: 9063\nTSF to LEB: 6535\nTSF to BBK: 9187\nTSF to AVA: 8568\nTSF to IPL: 10079\nHRB to YZF: 10836\nHRB to YLE: 10998\nHRB to LEB: 12413\nHRB to BBK: 13360\nHRB to AVA: 2829\nHRB to IPL: 10679\nBBK to YZF: 16480\nBBK to YLE: 16642\nBBK to LEB: 13059\nBBK to AVA: 11707\nBBK to IPL: 16941\nLEB to YZF: 3771\nLEB to YLE: 3933\nLEB to AVA: 13306\nLEB to IPL: 4410\nIPL to YZF: 3473\nIPL to YLE: 3635\nIPL to AVA: 12172\nYLE to YZF: 162\nYLE to AVA: 12337\nAVA to YZF: 12175\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: YBC, PVK, CAY, ETZ, TLN, BPL, CYX, EGS, CUR\n- Travel distances (in kilometers) between each pair of airports:\nYBC to CUR: 4275\nYBC to CAY: 5657\nYBC to ETZ: 6362\nYBC to PVK: 7401\nYBC to TLN: 6289\nYBC to BPL: 11912\nYBC to EGS: 8072\nYBC to CYX: 13798\nPVK to CUR: 9409\nPVK to CAY: 9111\nPVK to ETZ: 2019\nPVK to TLN: 2714\nPVK to BPL: 6034\nPVK to EGS: 7117\nPVK to CYX: 8815\nCAY to CUR: 2008\nCAY to ETZ: 7848\nCAY to TLN: 7775\nCAY to BPL: 13737\nCAY to EGS: 11780\nCAY to CYX: 15714\nETZ to CUR: 8389\nETZ to TLN: 1451\nETZ to BPL: 7051\nETZ to EGS: 6231\nETZ to CYX: 9104\nTLN to CUR: 8316\nTLN to BPL: 7340\nTLN to EGS: 6158\nTLN to CYX: 9317\nBPL to CUR: 14149\nBPL to EGS: 10696\nBPL to CYX: 6111\nCYX to CUR: 15988\nCYX to EGS: 12403\nEGS to CUR: 10444\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 50148,
"style": "rule"
}
|
{
"exact_answer": 50148,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"YBC\", \"id\": 0}, {\"name\": \"PVK\", \"id\": 1}, {\"name\": \"CAY\", \"id\": 2}, {\"name\": \"ETZ\", \"id\": 3}, {\"name\": \"TLN\", \"id\": 4}, {\"name\": \"BPL\", \"id\": 5}, {\"name\": \"CYX\", \"id\": 6}, {\"name\": \"EGS\", \"id\": 7}, {\"name\": \"CUR\", \"id\": 8}], \"links\": [{\"weight\": 4275, \"source\": 0, \"target\": 8}, {\"weight\": 5657, \"source\": 0, \"target\": 2}, {\"weight\": 6362, \"source\": 0, \"target\": 3}, {\"weight\": 7401, \"source\": 0, \"target\": 1}, {\"weight\": 6289, \"source\": 0, \"target\": 4}, {\"weight\": 11912, \"source\": 0, \"target\": 5}, {\"weight\": 8072, \"source\": 0, \"target\": 7}, {\"weight\": 13798, \"source\": 0, \"target\": 6}, {\"weight\": 9409, \"source\": 1, \"target\": 8}, {\"weight\": 9111, \"source\": 1, \"target\": 2}, {\"weight\": 2019, \"source\": 1, \"target\": 3}, {\"weight\": 2714, \"source\": 1, \"target\": 4}, {\"weight\": 6034, \"source\": 1, \"target\": 5}, {\"weight\": 7117, \"source\": 1, \"target\": 7}, {\"weight\": 8815, \"source\": 1, \"target\": 6}, {\"weight\": 2008, \"source\": 2, \"target\": 8}, {\"weight\": 7848, \"source\": 2, \"target\": 3}, {\"weight\": 7775, \"source\": 2, \"target\": 4}, {\"weight\": 13737, \"source\": 2, \"target\": 5}, {\"weight\": 11780, \"source\": 2, \"target\": 7}, {\"weight\": 15714, \"source\": 2, \"target\": 6}, {\"weight\": 8389, \"source\": 3, \"target\": 8}, {\"weight\": 1451, \"source\": 3, \"target\": 4}, {\"weight\": 7051, \"source\": 3, \"target\": 5}, {\"weight\": 6231, \"source\": 3, \"target\": 7}, {\"weight\": 9104, \"source\": 3, \"target\": 6}, {\"weight\": 8316, \"source\": 4, \"target\": 8}, {\"weight\": 7340, \"source\": 4, \"target\": 5}, {\"weight\": 6158, \"source\": 4, \"target\": 7}, {\"weight\": 9317, \"source\": 4, \"target\": 6}, {\"weight\": 14149, \"source\": 5, \"target\": 8}, {\"weight\": 10696, \"source\": 5, \"target\": 7}, {\"weight\": 6111, \"source\": 5, \"target\": 6}, {\"weight\": 15988, \"source\": 6, \"target\": 8}, {\"weight\": 12403, \"source\": 6, \"target\": 7}, {\"weight\": 10444, \"source\": 7, \"target\": 8}]}",
"id": 1071,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: YBC, PVK, CAY, ETZ, TLN, BPL, CYX, EGS, CUR\n- Travel distances (in kilometers) between each pair of airports:\nYBC to CUR: 4275\nYBC to CAY: 5657\nYBC to ETZ: 6362\nYBC to PVK: 7401\nYBC to TLN: 6289\nYBC to BPL: 11912\nYBC to EGS: 8072\nYBC to CYX: 13798\nPVK to CUR: 9409\nPVK to CAY: 9111\nPVK to ETZ: 2019\nPVK to TLN: 2714\nPVK to BPL: 6034\nPVK to EGS: 7117\nPVK to CYX: 8815\nCAY to CUR: 2008\nCAY to ETZ: 7848\nCAY to TLN: 7775\nCAY to BPL: 13737\nCAY to EGS: 11780\nCAY to CYX: 15714\nETZ to CUR: 8389\nETZ to TLN: 1451\nETZ to BPL: 7051\nETZ to EGS: 6231\nETZ to CYX: 9104\nTLN to CUR: 8316\nTLN to BPL: 7340\nTLN to EGS: 6158\nTLN to CYX: 9317\nBPL to CUR: 14149\nBPL to EGS: 10696\nBPL to CYX: 6111\nCYX to CUR: 15988\nCYX to EGS: 12403\nEGS to CUR: 10444\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, PPQ, DEC, DJB, SBN, YMO, CXB, ZVK, NKG\n- Travel distances (in kilometers) between each pair of airports:\nVAA to DEC: 7535\nVAA to NKG: 7603\nVAA to CXB: 7304\nVAA to SBN: 7335\nVAA to DJB: 9989\nVAA to PPQ: 17444\nVAA to ZVK: 8711\nVAA to YMO: 7608\nPPQ to DEC: 13651\nPPQ to NKG: 10087\nPPQ to CXB: 11866\nPPQ to SBN: 13854\nPPQ to DJB: 8574\nPPQ to ZVK: 10002\nPPQ to YMO: 14899\nDEC to NKG: 11711\nDEC to CXB: 14006\nDEC to SBN: 385\nDEC to DJB: 15998\nDEC to ZVK: 13921\nDEC to YMO: 1818\nDJB to NKG: 4477\nDJB to CXB: 3747\nDJB to SBN: 15881\nDJB to ZVK: 2405\nDJB to YMO: 16613\nSBN to NKG: 11594\nSBN to CXB: 13889\nSBN to ZVK: 13804\nSBN to YMO: 1461\nYMO to NKG: 12376\nYMO to CXB: 14266\nYMO to ZVK: 14536\nCXB to NKG: 3308\nCXB to ZVK: 2414\nZVK to NKG: 2523\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 47219,
"style": "rule"
}
|
{
"exact_answer": 47219,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"VAA\", \"id\": 0}, {\"name\": \"PPQ\", \"id\": 1}, {\"name\": \"DEC\", \"id\": 2}, {\"name\": \"DJB\", \"id\": 3}, {\"name\": \"SBN\", \"id\": 4}, {\"name\": \"YMO\", \"id\": 5}, {\"name\": \"CXB\", \"id\": 6}, {\"name\": \"ZVK\", \"id\": 7}, {\"name\": \"NKG\", \"id\": 8}], \"links\": [{\"weight\": 7535, \"source\": 0, \"target\": 2}, {\"weight\": 7603, \"source\": 0, \"target\": 8}, {\"weight\": 7304, \"source\": 0, \"target\": 6}, {\"weight\": 7335, \"source\": 0, \"target\": 4}, {\"weight\": 9989, \"source\": 0, \"target\": 3}, {\"weight\": 17444, \"source\": 0, \"target\": 1}, {\"weight\": 8711, \"source\": 0, \"target\": 7}, {\"weight\": 7608, \"source\": 0, \"target\": 5}, {\"weight\": 13651, \"source\": 1, \"target\": 2}, {\"weight\": 10087, \"source\": 1, \"target\": 8}, {\"weight\": 11866, \"source\": 1, \"target\": 6}, {\"weight\": 13854, \"source\": 1, \"target\": 4}, {\"weight\": 8574, \"source\": 1, \"target\": 3}, {\"weight\": 10002, \"source\": 1, \"target\": 7}, {\"weight\": 14899, \"source\": 1, \"target\": 5}, {\"weight\": 11711, \"source\": 2, \"target\": 8}, {\"weight\": 14006, \"source\": 2, \"target\": 6}, {\"weight\": 385, \"source\": 2, \"target\": 4}, {\"weight\": 15998, \"source\": 2, \"target\": 3}, {\"weight\": 13921, \"source\": 2, \"target\": 7}, {\"weight\": 1818, \"source\": 2, \"target\": 5}, {\"weight\": 4477, \"source\": 3, \"target\": 8}, {\"weight\": 3747, \"source\": 3, \"target\": 6}, {\"weight\": 15881, \"source\": 3, \"target\": 4}, {\"weight\": 2405, \"source\": 3, \"target\": 7}, {\"weight\": 16613, \"source\": 3, \"target\": 5}, {\"weight\": 11594, \"source\": 4, \"target\": 8}, {\"weight\": 13889, \"source\": 4, \"target\": 6}, {\"weight\": 13804, \"source\": 4, \"target\": 7}, {\"weight\": 1461, \"source\": 4, \"target\": 5}, {\"weight\": 12376, \"source\": 5, \"target\": 8}, {\"weight\": 14266, \"source\": 5, \"target\": 6}, {\"weight\": 14536, \"source\": 5, \"target\": 7}, {\"weight\": 3308, \"source\": 6, \"target\": 8}, {\"weight\": 2414, \"source\": 6, \"target\": 7}, {\"weight\": 2523, \"source\": 7, \"target\": 8}]}",
"id": 1072,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, PPQ, DEC, DJB, SBN, YMO, CXB, ZVK, NKG\n- Travel distances (in kilometers) between each pair of airports:\nVAA to DEC: 7535\nVAA to NKG: 7603\nVAA to CXB: 7304\nVAA to SBN: 7335\nVAA to DJB: 9989\nVAA to PPQ: 17444\nVAA to ZVK: 8711\nVAA to YMO: 7608\nPPQ to DEC: 13651\nPPQ to NKG: 10087\nPPQ to CXB: 11866\nPPQ to SBN: 13854\nPPQ to DJB: 8574\nPPQ to ZVK: 10002\nPPQ to YMO: 14899\nDEC to NKG: 11711\nDEC to CXB: 14006\nDEC to SBN: 385\nDEC to DJB: 15998\nDEC to ZVK: 13921\nDEC to YMO: 1818\nDJB to NKG: 4477\nDJB to CXB: 3747\nDJB to SBN: 15881\nDJB to ZVK: 2405\nDJB to YMO: 16613\nSBN to NKG: 11594\nSBN to CXB: 13889\nSBN to ZVK: 13804\nSBN to YMO: 1461\nYMO to NKG: 12376\nYMO to CXB: 14266\nYMO to ZVK: 14536\nCXB to NKG: 3308\nCXB to ZVK: 2414\nZVK to NKG: 2523\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PIS, BNI, MWZ, PIP, SDG, GRJ, TSR, IPC, ACZ\n- Travel distances (in kilometers) between each pair of airports:\nPIS to TSR: 1683\nPIS to ACZ: 5667\nPIS to SDG: 4799\nPIS to PIP: 11205\nPIS to GRJ: 10133\nPIS to MWZ: 7205\nPIS to IPC: 15458\nPIS to BNI: 5081\nBNI to TSR: 5318\nBNI to ACZ: 7161\nBNI to SDG: 6393\nBNI to PIP: 14986\nBNI to GRJ: 5796\nBNI to MWZ: 4546\nBNI to IPC: 12982\nMWZ to TSR: 6082\nMWZ to ACZ: 5849\nMWZ to SDG: 5244\nMWZ to PIP: 17894\nMWZ to GRJ: 4327\nMWZ to IPC: 16099\nPIP to TSR: 12191\nPIP to ACZ: 16175\nPIP to SDG: 15292\nPIP to GRJ: 19803\nPIP to IPC: 13734\nSDG to TSR: 3296\nSDG to ACZ: 1740\nSDG to GRJ: 8729\nSDG to IPC: 19264\nGRJ to TSR: 9345\nGRJ to ACZ: 9319\nGRJ to IPC: 14844\nTSR to ACZ: 4164\nTSR to IPC: 16565\nIPC to ACZ: 20017\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 60612,
"style": "rule"
}
|
{
"exact_answer": 60612,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"PIS\", \"id\": 0}, {\"name\": \"BNI\", \"id\": 1}, {\"name\": \"MWZ\", \"id\": 2}, {\"name\": \"PIP\", \"id\": 3}, {\"name\": \"SDG\", \"id\": 4}, {\"name\": \"GRJ\", \"id\": 5}, {\"name\": \"TSR\", \"id\": 6}, {\"name\": \"IPC\", \"id\": 7}, {\"name\": \"ACZ\", \"id\": 8}], \"links\": [{\"weight\": 1683, \"source\": 0, \"target\": 6}, {\"weight\": 5667, \"source\": 0, \"target\": 8}, {\"weight\": 4799, \"source\": 0, \"target\": 4}, {\"weight\": 11205, \"source\": 0, \"target\": 3}, {\"weight\": 10133, \"source\": 0, \"target\": 5}, {\"weight\": 7205, \"source\": 0, \"target\": 2}, {\"weight\": 15458, \"source\": 0, \"target\": 7}, {\"weight\": 5081, \"source\": 0, \"target\": 1}, {\"weight\": 5318, \"source\": 1, \"target\": 6}, {\"weight\": 7161, \"source\": 1, \"target\": 8}, {\"weight\": 6393, \"source\": 1, \"target\": 4}, {\"weight\": 14986, \"source\": 1, \"target\": 3}, {\"weight\": 5796, \"source\": 1, \"target\": 5}, {\"weight\": 4546, \"source\": 1, \"target\": 2}, {\"weight\": 12982, \"source\": 1, \"target\": 7}, {\"weight\": 6082, \"source\": 2, \"target\": 6}, {\"weight\": 5849, \"source\": 2, \"target\": 8}, {\"weight\": 5244, \"source\": 2, \"target\": 4}, {\"weight\": 17894, \"source\": 2, \"target\": 3}, {\"weight\": 4327, \"source\": 2, \"target\": 5}, {\"weight\": 16099, \"source\": 2, \"target\": 7}, {\"weight\": 12191, \"source\": 3, \"target\": 6}, {\"weight\": 16175, \"source\": 3, \"target\": 8}, {\"weight\": 15292, \"source\": 3, \"target\": 4}, {\"weight\": 19803, \"source\": 3, \"target\": 5}, {\"weight\": 13734, \"source\": 3, \"target\": 7}, {\"weight\": 3296, \"source\": 4, \"target\": 6}, {\"weight\": 1740, \"source\": 4, \"target\": 8}, {\"weight\": 8729, \"source\": 4, \"target\": 5}, {\"weight\": 19264, \"source\": 4, \"target\": 7}, {\"weight\": 9345, \"source\": 5, \"target\": 6}, {\"weight\": 9319, \"source\": 5, \"target\": 8}, {\"weight\": 14844, \"source\": 5, \"target\": 7}, {\"weight\": 4164, \"source\": 6, \"target\": 8}, {\"weight\": 16565, \"source\": 6, \"target\": 7}, {\"weight\": 20017, \"source\": 7, \"target\": 8}]}",
"id": 1073,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PIS, BNI, MWZ, PIP, SDG, GRJ, TSR, IPC, ACZ\n- Travel distances (in kilometers) between each pair of airports:\nPIS to TSR: 1683\nPIS to ACZ: 5667\nPIS to SDG: 4799\nPIS to PIP: 11205\nPIS to GRJ: 10133\nPIS to MWZ: 7205\nPIS to IPC: 15458\nPIS to BNI: 5081\nBNI to TSR: 5318\nBNI to ACZ: 7161\nBNI to SDG: 6393\nBNI to PIP: 14986\nBNI to GRJ: 5796\nBNI to MWZ: 4546\nBNI to IPC: 12982\nMWZ to TSR: 6082\nMWZ to ACZ: 5849\nMWZ to SDG: 5244\nMWZ to PIP: 17894\nMWZ to GRJ: 4327\nMWZ to IPC: 16099\nPIP to TSR: 12191\nPIP to ACZ: 16175\nPIP to SDG: 15292\nPIP to GRJ: 19803\nPIP to IPC: 13734\nSDG to TSR: 3296\nSDG to ACZ: 1740\nSDG to GRJ: 8729\nSDG to IPC: 19264\nGRJ to TSR: 9345\nGRJ to ACZ: 9319\nGRJ to IPC: 14844\nTSR to ACZ: 4164\nTSR to IPC: 16565\nIPC to ACZ: 20017\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, YFS, MCK, MCN, GRP, SHA, CGQ, CAB, DSM\n- Travel distances (in kilometers) between each pair of airports:\nPIE to DSM: 1812\nPIE to MCN: 1125\nPIE to CGQ: 12854\nPIE to YFS: 5227\nPIE to SHA: 13269\nPIE to CAB: 12758\nPIE to GRP: 8098\nPIE to MCK: 2812\nYFS to MCN: 4709\nYFS to CGQ: 10791\nYFS to SHA: 11367\nYFS to DSM: 3496\nYFS to CAB: 14733\nYFS to GRP: 11506\nYFS to MCK: 3320\nMCK to MCN: 2401\nMCK to CGQ: 10740\nMCK to SHA: 11316\nMCK to DSM: 1295\nMCK to CAB: 13940\nMCK to GRP: 9387\nMCN to CGQ: 12344\nMCN to SHA: 12739\nMCN to DSM: 1322\nMCN to CAB: 12250\nMCN to GRP: 7123\nGRP to CGQ: 18269\nGRP to SHA: 18502\nGRP to DSM: 8406\nGRP to CAB: 7975\nSHA to CGQ: 1507\nSHA to DSM: 11855\nSHA to CAB: 12692\nCGQ to DSM: 11279\nCGQ to CAB: 13021\nCAB to DSM: 12645\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 47640,
"style": "rule"
}
|
{
"exact_answer": 47640,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"PIE\", \"id\": 0}, {\"name\": \"YFS\", \"id\": 1}, {\"name\": \"MCK\", \"id\": 2}, {\"name\": \"MCN\", \"id\": 3}, {\"name\": \"GRP\", \"id\": 4}, {\"name\": \"SHA\", \"id\": 5}, {\"name\": \"CGQ\", \"id\": 6}, {\"name\": \"CAB\", \"id\": 7}, {\"name\": \"DSM\", \"id\": 8}], \"links\": [{\"weight\": 1812, \"source\": 0, \"target\": 8}, {\"weight\": 1125, \"source\": 0, \"target\": 3}, {\"weight\": 12854, \"source\": 0, \"target\": 6}, {\"weight\": 5227, \"source\": 0, \"target\": 1}, {\"weight\": 13269, \"source\": 0, \"target\": 5}, {\"weight\": 12758, \"source\": 0, \"target\": 7}, {\"weight\": 8098, \"source\": 0, \"target\": 4}, {\"weight\": 2812, \"source\": 0, \"target\": 2}, {\"weight\": 4709, \"source\": 1, \"target\": 3}, {\"weight\": 10791, \"source\": 1, \"target\": 6}, {\"weight\": 11367, \"source\": 1, \"target\": 5}, {\"weight\": 3496, \"source\": 1, \"target\": 8}, {\"weight\": 14733, \"source\": 1, \"target\": 7}, {\"weight\": 11506, \"source\": 1, \"target\": 4}, {\"weight\": 3320, \"source\": 1, \"target\": 2}, {\"weight\": 2401, \"source\": 2, \"target\": 3}, {\"weight\": 10740, \"source\": 2, \"target\": 6}, {\"weight\": 11316, \"source\": 2, \"target\": 5}, {\"weight\": 1295, \"source\": 2, \"target\": 8}, {\"weight\": 13940, \"source\": 2, \"target\": 7}, {\"weight\": 9387, \"source\": 2, \"target\": 4}, {\"weight\": 12344, \"source\": 3, \"target\": 6}, {\"weight\": 12739, \"source\": 3, \"target\": 5}, {\"weight\": 1322, \"source\": 3, \"target\": 8}, {\"weight\": 12250, \"source\": 3, \"target\": 7}, {\"weight\": 7123, \"source\": 3, \"target\": 4}, {\"weight\": 18269, \"source\": 4, \"target\": 6}, {\"weight\": 18502, \"source\": 4, \"target\": 5}, {\"weight\": 8406, \"source\": 4, \"target\": 8}, {\"weight\": 7975, \"source\": 4, \"target\": 7}, {\"weight\": 1507, \"source\": 5, \"target\": 6}, {\"weight\": 11855, \"source\": 5, \"target\": 8}, {\"weight\": 12692, \"source\": 5, \"target\": 7}, {\"weight\": 11279, \"source\": 6, \"target\": 8}, {\"weight\": 13021, \"source\": 6, \"target\": 7}, {\"weight\": 12645, \"source\": 7, \"target\": 8}]}",
"id": 1074,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, YFS, MCK, MCN, GRP, SHA, CGQ, CAB, DSM\n- Travel distances (in kilometers) between each pair of airports:\nPIE to DSM: 1812\nPIE to MCN: 1125\nPIE to CGQ: 12854\nPIE to YFS: 5227\nPIE to SHA: 13269\nPIE to CAB: 12758\nPIE to GRP: 8098\nPIE to MCK: 2812\nYFS to MCN: 4709\nYFS to CGQ: 10791\nYFS to SHA: 11367\nYFS to DSM: 3496\nYFS to CAB: 14733\nYFS to GRP: 11506\nYFS to MCK: 3320\nMCK to MCN: 2401\nMCK to CGQ: 10740\nMCK to SHA: 11316\nMCK to DSM: 1295\nMCK to CAB: 13940\nMCK to GRP: 9387\nMCN to CGQ: 12344\nMCN to SHA: 12739\nMCN to DSM: 1322\nMCN to CAB: 12250\nMCN to GRP: 7123\nGRP to CGQ: 18269\nGRP to SHA: 18502\nGRP to DSM: 8406\nGRP to CAB: 7975\nSHA to CGQ: 1507\nSHA to DSM: 11855\nSHA to CAB: 12692\nCGQ to DSM: 11279\nCGQ to CAB: 13021\nCAB to DSM: 12645\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BRI, RNA, ARI, JJU, YDP, BTS, PUG, BWA, NLD\n- Travel distances (in kilometers) between each pair of airports:\nBRI to NLD: 11482\nBRI to BTS: 1149\nBRI to JJU: 5496\nBRI to ARI: 11482\nBRI to RNA: 15695\nBRI to YDP: 6663\nBRI to PUG: 15302\nBRI to BWA: 6499\nRNA to NLD: 14589\nRNA to BTS: 15783\nRNA to JJU: 18860\nRNA to ARI: 15059\nRNA to YDP: 16936\nRNA to PUG: 4238\nRNA to BWA: 9804\nARI to NLD: 6525\nARI to BTS: 11627\nARI to JJU: 12815\nARI to YDP: 8710\nARI to PUG: 14452\nARI to BWA: 17973\nJJU to NLD: 10229\nJJU to BTS: 4948\nJJU to YDP: 7792\nJJU to PUG: 19267\nJJU to BWA: 10595\nYDP to NLD: 6368\nYDP to BTS: 6263\nYDP to PUG: 19133\nYDP to BWA: 12653\nBTS to NLD: 11096\nBTS to PUG: 15893\nBTS to BWA: 7066\nPUG to NLD: 16820\nPUG to BWA: 9409\nBWA to NLD: 16636\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 61775,
"style": "rule"
}
|
{
"exact_answer": 61775,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"BRI\", \"id\": 0}, {\"name\": \"RNA\", \"id\": 1}, {\"name\": \"ARI\", \"id\": 2}, {\"name\": \"JJU\", \"id\": 3}, {\"name\": \"YDP\", \"id\": 4}, {\"name\": \"BTS\", \"id\": 5}, {\"name\": \"PUG\", \"id\": 6}, {\"name\": \"BWA\", \"id\": 7}, {\"name\": \"NLD\", \"id\": 8}], \"links\": [{\"weight\": 11482, \"source\": 0, \"target\": 8}, {\"weight\": 1149, \"source\": 0, \"target\": 5}, {\"weight\": 5496, \"source\": 0, \"target\": 3}, {\"weight\": 11482, \"source\": 0, \"target\": 2}, {\"weight\": 15695, \"source\": 0, \"target\": 1}, {\"weight\": 6663, \"source\": 0, \"target\": 4}, {\"weight\": 15302, \"source\": 0, \"target\": 6}, {\"weight\": 6499, \"source\": 0, \"target\": 7}, {\"weight\": 14589, \"source\": 1, \"target\": 8}, {\"weight\": 15783, \"source\": 1, \"target\": 5}, {\"weight\": 18860, \"source\": 1, \"target\": 3}, {\"weight\": 15059, \"source\": 1, \"target\": 2}, {\"weight\": 16936, \"source\": 1, \"target\": 4}, {\"weight\": 4238, \"source\": 1, \"target\": 6}, {\"weight\": 9804, \"source\": 1, \"target\": 7}, {\"weight\": 6525, \"source\": 2, \"target\": 8}, {\"weight\": 11627, \"source\": 2, \"target\": 5}, {\"weight\": 12815, \"source\": 2, \"target\": 3}, {\"weight\": 8710, \"source\": 2, \"target\": 4}, {\"weight\": 14452, \"source\": 2, \"target\": 6}, {\"weight\": 17973, \"source\": 2, \"target\": 7}, {\"weight\": 10229, \"source\": 3, \"target\": 8}, {\"weight\": 4948, \"source\": 3, \"target\": 5}, {\"weight\": 7792, \"source\": 3, \"target\": 4}, {\"weight\": 19267, \"source\": 3, \"target\": 6}, {\"weight\": 10595, \"source\": 3, \"target\": 7}, {\"weight\": 6368, \"source\": 4, \"target\": 8}, {\"weight\": 6263, \"source\": 4, \"target\": 5}, {\"weight\": 19133, \"source\": 4, \"target\": 6}, {\"weight\": 12653, \"source\": 4, \"target\": 7}, {\"weight\": 11096, \"source\": 5, \"target\": 8}, {\"weight\": 15893, \"source\": 5, \"target\": 6}, {\"weight\": 7066, \"source\": 5, \"target\": 7}, {\"weight\": 16820, \"source\": 6, \"target\": 8}, {\"weight\": 9409, \"source\": 6, \"target\": 7}, {\"weight\": 16636, \"source\": 7, \"target\": 8}]}",
"id": 1075,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BRI, RNA, ARI, JJU, YDP, BTS, PUG, BWA, NLD\n- Travel distances (in kilometers) between each pair of airports:\nBRI to NLD: 11482\nBRI to BTS: 1149\nBRI to JJU: 5496\nBRI to ARI: 11482\nBRI to RNA: 15695\nBRI to YDP: 6663\nBRI to PUG: 15302\nBRI to BWA: 6499\nRNA to NLD: 14589\nRNA to BTS: 15783\nRNA to JJU: 18860\nRNA to ARI: 15059\nRNA to YDP: 16936\nRNA to PUG: 4238\nRNA to BWA: 9804\nARI to NLD: 6525\nARI to BTS: 11627\nARI to JJU: 12815\nARI to YDP: 8710\nARI to PUG: 14452\nARI to BWA: 17973\nJJU to NLD: 10229\nJJU to BTS: 4948\nJJU to YDP: 7792\nJJU to PUG: 19267\nJJU to BWA: 10595\nYDP to NLD: 6368\nYDP to BTS: 6263\nYDP to PUG: 19133\nYDP to BWA: 12653\nBTS to NLD: 11096\nBTS to PUG: 15893\nBTS to BWA: 7066\nPUG to NLD: 16820\nPUG to BWA: 9409\nBWA to NLD: 16636\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: MHG, CKD, UTS, ABA, WYA, LZO, MMH, BUW, BMI\n- Travel distances (in kilometers) between each pair of airports:\nMHG to CKD: 11691\nMHG to BMI: 7746\nMHG to MMH: 10259\nMHG to LZO: 8610\nMHG to ABA: 5455\nMHG to BUW: 12664\nMHG to UTS: 3353\nMHG to WYA: 16080\nCKD to BMI: 5236\nCKD to MMH: 4773\nCKD to LZO: 13208\nCKD to ABA: 14124\nCKD to BUW: 16394\nCKD to UTS: 13029\nCKD to WYA: 14467\nUTS to BMI: 9291\nUTS to MMH: 11523\nUTS to LZO: 6664\nUTS to ABA: 4794\nUTS to BUW: 10590\nUTS to WYA: 14014\nABA to BMI: 11635\nABA to MMH: 12976\nABA to LZO: 4140\nABA to BUW: 8065\nABA to WYA: 11437\nWYA to BMI: 16105\nWYA to MMH: 13793\nWYA to LZO: 8240\nWYA to BUW: 4959\nLZO to BMI: 12361\nLZO to MMH: 12060\nLZO to BUW: 4674\nMMH to BMI: 3134\nMMH to BUW: 14958\nBUW to BMI: 16009\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 52040,
"style": "rule"
}
|
{
"exact_answer": 52040,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"MHG\", \"id\": 0}, {\"name\": \"CKD\", \"id\": 1}, {\"name\": \"UTS\", \"id\": 2}, {\"name\": \"ABA\", \"id\": 3}, {\"name\": \"WYA\", \"id\": 4}, {\"name\": \"LZO\", \"id\": 5}, {\"name\": \"MMH\", \"id\": 6}, {\"name\": \"BUW\", \"id\": 7}, {\"name\": \"BMI\", \"id\": 8}], \"links\": [{\"weight\": 11691, \"source\": 0, \"target\": 1}, {\"weight\": 7746, \"source\": 0, \"target\": 8}, {\"weight\": 10259, \"source\": 0, \"target\": 6}, {\"weight\": 8610, \"source\": 0, \"target\": 5}, {\"weight\": 5455, \"source\": 0, \"target\": 3}, {\"weight\": 12664, \"source\": 0, \"target\": 7}, {\"weight\": 3353, \"source\": 0, \"target\": 2}, {\"weight\": 16080, \"source\": 0, \"target\": 4}, {\"weight\": 5236, \"source\": 1, \"target\": 8}, {\"weight\": 4773, \"source\": 1, \"target\": 6}, {\"weight\": 13208, \"source\": 1, \"target\": 5}, {\"weight\": 14124, \"source\": 1, \"target\": 3}, {\"weight\": 16394, \"source\": 1, \"target\": 7}, {\"weight\": 13029, \"source\": 1, \"target\": 2}, {\"weight\": 14467, \"source\": 1, \"target\": 4}, {\"weight\": 9291, \"source\": 2, \"target\": 8}, {\"weight\": 11523, \"source\": 2, \"target\": 6}, {\"weight\": 6664, \"source\": 2, \"target\": 5}, {\"weight\": 4794, \"source\": 2, \"target\": 3}, {\"weight\": 10590, \"source\": 2, \"target\": 7}, {\"weight\": 14014, \"source\": 2, \"target\": 4}, {\"weight\": 11635, \"source\": 3, \"target\": 8}, {\"weight\": 12976, \"source\": 3, \"target\": 6}, {\"weight\": 4140, \"source\": 3, \"target\": 5}, {\"weight\": 8065, \"source\": 3, \"target\": 7}, {\"weight\": 11437, \"source\": 3, \"target\": 4}, {\"weight\": 16105, \"source\": 4, \"target\": 8}, {\"weight\": 13793, \"source\": 4, \"target\": 6}, {\"weight\": 8240, \"source\": 4, \"target\": 5}, {\"weight\": 4959, \"source\": 4, \"target\": 7}, {\"weight\": 12361, \"source\": 5, \"target\": 8}, {\"weight\": 12060, \"source\": 5, \"target\": 6}, {\"weight\": 4674, \"source\": 5, \"target\": 7}, {\"weight\": 3134, \"source\": 6, \"target\": 8}, {\"weight\": 14958, \"source\": 6, \"target\": 7}, {\"weight\": 16009, \"source\": 7, \"target\": 8}]}",
"id": 1076,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: MHG, CKD, UTS, ABA, WYA, LZO, MMH, BUW, BMI\n- Travel distances (in kilometers) between each pair of airports:\nMHG to CKD: 11691\nMHG to BMI: 7746\nMHG to MMH: 10259\nMHG to LZO: 8610\nMHG to ABA: 5455\nMHG to BUW: 12664\nMHG to UTS: 3353\nMHG to WYA: 16080\nCKD to BMI: 5236\nCKD to MMH: 4773\nCKD to LZO: 13208\nCKD to ABA: 14124\nCKD to BUW: 16394\nCKD to UTS: 13029\nCKD to WYA: 14467\nUTS to BMI: 9291\nUTS to MMH: 11523\nUTS to LZO: 6664\nUTS to ABA: 4794\nUTS to BUW: 10590\nUTS to WYA: 14014\nABA to BMI: 11635\nABA to MMH: 12976\nABA to LZO: 4140\nABA to BUW: 8065\nABA to WYA: 11437\nWYA to BMI: 16105\nWYA to MMH: 13793\nWYA to LZO: 8240\nWYA to BUW: 4959\nLZO to BMI: 12361\nLZO to MMH: 12060\nLZO to BUW: 4674\nMMH to BMI: 3134\nMMH to BUW: 14958\nBUW to BMI: 16009\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ALH, SJK, YHD, NUE, CGB, GAO, CLQ, HMB, SGF\n- Travel distances (in kilometers) between each pair of airports:\nALH to CGB: 17453\nALH to NUE: 14069\nALH to SGF: 17836\nALH to SJK: 16746\nALH to CLQ: 18486\nALH to GAO: 20246\nALH to HMB: 11733\nALH to YHD: 18023\nSJK to CGB: 1877\nSJK to NUE: 9880\nSJK to SGF: 8828\nSJK to CLQ: 8527\nSJK to GAO: 7954\nSJK to HMB: 11354\nSJK to YHD: 9888\nYHD to CGB: 8905\nYHD to NUE: 7737\nYHD to SGF: 2164\nYHD to CLQ: 4310\nYHD to GAO: 4338\nYHD to HMB: 10871\nNUE to CGB: 10182\nNUE to SGF: 7856\nNUE to CLQ: 10210\nNUE to GAO: 9142\nNUE to HMB: 3195\nCGB to SGF: 7595\nCGB to CLQ: 7318\nCGB to GAO: 6704\nCGB to HMB: 11946\nGAO to SGF: 3440\nGAO to CLQ: 3058\nGAO to HMB: 12062\nCLQ to SGF: 2568\nCLQ to HMB: 13281\nHMB to SGF: 11014\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 55782,
"style": "rule"
}
|
{
"exact_answer": 55782,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"ALH\", \"id\": 0}, {\"name\": \"SJK\", \"id\": 1}, {\"name\": \"YHD\", \"id\": 2}, {\"name\": \"NUE\", \"id\": 3}, {\"name\": \"CGB\", \"id\": 4}, {\"name\": \"GAO\", \"id\": 5}, {\"name\": \"CLQ\", \"id\": 6}, {\"name\": \"HMB\", \"id\": 7}, {\"name\": \"SGF\", \"id\": 8}], \"links\": [{\"weight\": 17453, \"source\": 0, \"target\": 4}, {\"weight\": 14069, \"source\": 0, \"target\": 3}, {\"weight\": 17836, \"source\": 0, \"target\": 8}, {\"weight\": 16746, \"source\": 0, \"target\": 1}, {\"weight\": 18486, \"source\": 0, \"target\": 6}, {\"weight\": 20246, \"source\": 0, \"target\": 5}, {\"weight\": 11733, \"source\": 0, \"target\": 7}, {\"weight\": 18023, \"source\": 0, \"target\": 2}, {\"weight\": 1877, \"source\": 1, \"target\": 4}, {\"weight\": 9880, \"source\": 1, \"target\": 3}, {\"weight\": 8828, \"source\": 1, \"target\": 8}, {\"weight\": 8527, \"source\": 1, \"target\": 6}, {\"weight\": 7954, \"source\": 1, \"target\": 5}, {\"weight\": 11354, \"source\": 1, \"target\": 7}, {\"weight\": 9888, \"source\": 1, \"target\": 2}, {\"weight\": 8905, \"source\": 2, \"target\": 4}, {\"weight\": 7737, \"source\": 2, \"target\": 3}, {\"weight\": 2164, \"source\": 2, \"target\": 8}, {\"weight\": 4310, \"source\": 2, \"target\": 6}, {\"weight\": 4338, \"source\": 2, \"target\": 5}, {\"weight\": 10871, \"source\": 2, \"target\": 7}, {\"weight\": 10182, \"source\": 3, \"target\": 4}, {\"weight\": 7856, \"source\": 3, \"target\": 8}, {\"weight\": 10210, \"source\": 3, \"target\": 6}, {\"weight\": 9142, \"source\": 3, \"target\": 5}, {\"weight\": 3195, \"source\": 3, \"target\": 7}, {\"weight\": 7595, \"source\": 4, \"target\": 8}, {\"weight\": 7318, \"source\": 4, \"target\": 6}, {\"weight\": 6704, \"source\": 4, \"target\": 5}, {\"weight\": 11946, \"source\": 4, \"target\": 7}, {\"weight\": 3440, \"source\": 5, \"target\": 8}, {\"weight\": 3058, \"source\": 5, \"target\": 6}, {\"weight\": 12062, \"source\": 5, \"target\": 7}, {\"weight\": 2568, \"source\": 6, \"target\": 8}, {\"weight\": 13281, \"source\": 6, \"target\": 7}, {\"weight\": 11014, \"source\": 7, \"target\": 8}]}",
"id": 1077,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ALH, SJK, YHD, NUE, CGB, GAO, CLQ, HMB, SGF\n- Travel distances (in kilometers) between each pair of airports:\nALH to CGB: 17453\nALH to NUE: 14069\nALH to SGF: 17836\nALH to SJK: 16746\nALH to CLQ: 18486\nALH to GAO: 20246\nALH to HMB: 11733\nALH to YHD: 18023\nSJK to CGB: 1877\nSJK to NUE: 9880\nSJK to SGF: 8828\nSJK to CLQ: 8527\nSJK to GAO: 7954\nSJK to HMB: 11354\nSJK to YHD: 9888\nYHD to CGB: 8905\nYHD to NUE: 7737\nYHD to SGF: 2164\nYHD to CLQ: 4310\nYHD to GAO: 4338\nYHD to HMB: 10871\nNUE to CGB: 10182\nNUE to SGF: 7856\nNUE to CLQ: 10210\nNUE to GAO: 9142\nNUE to HMB: 3195\nCGB to SGF: 7595\nCGB to CLQ: 7318\nCGB to GAO: 6704\nCGB to HMB: 11946\nGAO to SGF: 3440\nGAO to CLQ: 3058\nGAO to HMB: 12062\nCLQ to SGF: 2568\nCLQ to HMB: 13281\nHMB to SGF: 11014\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, IDA, VBV, PQC, AAE, KCC, PUF, LCA, DLG\n- Travel distances (in kilometers) between each pair of airports:\nDZN to LCA: 4900\nDZN to PUF: 6888\nDZN to AAE: 6662\nDZN to DLG: 15672\nDZN to PQC: 5777\nDZN to IDA: 13682\nDZN to VBV: 13568\nDZN to KCC: 14013\nIDA to LCA: 11405\nIDA to PUF: 9122\nIDA to AAE: 9875\nIDA to DLG: 4242\nIDA to PQC: 13642\nIDA to VBV: 10534\nIDA to KCC: 2602\nVBV to LCA: 16469\nVBV to PUF: 18104\nVBV to AAE: 18320\nVBV to DLG: 10503\nVBV to PQC: 9624\nVBV to KCC: 11002\nPQC to LCA: 8162\nPQC to PUF: 10885\nPQC to AAE: 10394\nPQC to DLG: 15085\nPQC to KCC: 13426\nAAE to LCA: 3075\nAAE to PUF: 1222\nAAE to DLG: 12309\nAAE to KCC: 10650\nKCC to LCA: 11948\nKCC to PUF: 9893\nKCC to DLG: 1919\nPUF to LCA: 3073\nPUF to DLG: 11552\nLCA to DLG: 13607\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 48744,
"style": "rule"
}
|
{
"exact_answer": 48744,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"DZN\", \"id\": 0}, {\"name\": \"IDA\", \"id\": 1}, {\"name\": \"VBV\", \"id\": 2}, {\"name\": \"PQC\", \"id\": 3}, {\"name\": \"AAE\", \"id\": 4}, {\"name\": \"KCC\", \"id\": 5}, {\"name\": \"PUF\", \"id\": 6}, {\"name\": \"LCA\", \"id\": 7}, {\"name\": \"DLG\", \"id\": 8}], \"links\": [{\"weight\": 4900, \"source\": 0, \"target\": 7}, {\"weight\": 6888, \"source\": 0, \"target\": 6}, {\"weight\": 6662, \"source\": 0, \"target\": 4}, {\"weight\": 15672, \"source\": 0, \"target\": 8}, {\"weight\": 5777, \"source\": 0, \"target\": 3}, {\"weight\": 13682, \"source\": 0, \"target\": 1}, {\"weight\": 13568, \"source\": 0, \"target\": 2}, {\"weight\": 14013, \"source\": 0, \"target\": 5}, {\"weight\": 11405, \"source\": 1, \"target\": 7}, {\"weight\": 9122, \"source\": 1, \"target\": 6}, {\"weight\": 9875, \"source\": 1, \"target\": 4}, {\"weight\": 4242, \"source\": 1, \"target\": 8}, {\"weight\": 13642, \"source\": 1, \"target\": 3}, {\"weight\": 10534, \"source\": 1, \"target\": 2}, {\"weight\": 2602, \"source\": 1, \"target\": 5}, {\"weight\": 16469, \"source\": 2, \"target\": 7}, {\"weight\": 18104, \"source\": 2, \"target\": 6}, {\"weight\": 18320, \"source\": 2, \"target\": 4}, {\"weight\": 10503, \"source\": 2, \"target\": 8}, {\"weight\": 9624, \"source\": 2, \"target\": 3}, {\"weight\": 11002, \"source\": 2, \"target\": 5}, {\"weight\": 8162, \"source\": 3, \"target\": 7}, {\"weight\": 10885, \"source\": 3, \"target\": 6}, {\"weight\": 10394, \"source\": 3, \"target\": 4}, {\"weight\": 15085, \"source\": 3, \"target\": 8}, {\"weight\": 13426, \"source\": 3, \"target\": 5}, {\"weight\": 3075, \"source\": 4, \"target\": 7}, {\"weight\": 1222, \"source\": 4, \"target\": 6}, {\"weight\": 12309, \"source\": 4, \"target\": 8}, {\"weight\": 10650, \"source\": 4, \"target\": 5}, {\"weight\": 11948, \"source\": 5, \"target\": 7}, {\"weight\": 9893, \"source\": 5, \"target\": 6}, {\"weight\": 1919, \"source\": 5, \"target\": 8}, {\"weight\": 3073, \"source\": 6, \"target\": 7}, {\"weight\": 11552, \"source\": 6, \"target\": 8}, {\"weight\": 13607, \"source\": 7, \"target\": 8}]}",
"id": 1078,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, IDA, VBV, PQC, AAE, KCC, PUF, LCA, DLG\n- Travel distances (in kilometers) between each pair of airports:\nDZN to LCA: 4900\nDZN to PUF: 6888\nDZN to AAE: 6662\nDZN to DLG: 15672\nDZN to PQC: 5777\nDZN to IDA: 13682\nDZN to VBV: 13568\nDZN to KCC: 14013\nIDA to LCA: 11405\nIDA to PUF: 9122\nIDA to AAE: 9875\nIDA to DLG: 4242\nIDA to PQC: 13642\nIDA to VBV: 10534\nIDA to KCC: 2602\nVBV to LCA: 16469\nVBV to PUF: 18104\nVBV to AAE: 18320\nVBV to DLG: 10503\nVBV to PQC: 9624\nVBV to KCC: 11002\nPQC to LCA: 8162\nPQC to PUF: 10885\nPQC to AAE: 10394\nPQC to DLG: 15085\nPQC to KCC: 13426\nAAE to LCA: 3075\nAAE to PUF: 1222\nAAE to DLG: 12309\nAAE to KCC: 10650\nKCC to LCA: 11948\nKCC to PUF: 9893\nKCC to DLG: 1919\nPUF to LCA: 3073\nPUF to DLG: 11552\nLCA to DLG: 13607\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: EYP, MJT, WBQ, LRR, SVZ, LBF, PUU, LUG, PAZ\n- Travel distances (in kilometers) between each pair of airports:\nEYP to WBQ: 9438\nEYP to PUU: 741\nEYP to MJT: 10822\nEYP to PAZ: 3577\nEYP to LRR: 13684\nEYP to LUG: 9357\nEYP to SVZ: 1901\nEYP to LBF: 5536\nMJT to WBQ: 12701\nMJT to PUU: 11151\nMJT to PAZ: 11617\nMJT to LRR: 3334\nMJT to LUG: 1989\nMJT to SVZ: 10263\nMJT to LBF: 10323\nWBQ to PUU: 9539\nWBQ to PAZ: 6643\nWBQ to LRR: 14847\nWBQ to LUG: 11240\nWBQ to SVZ: 9877\nWBQ to LBF: 4643\nLRR to PUU: 14013\nLRR to PAZ: 14387\nLRR to LUG: 4688\nLRR to SVZ: 13125\nLRR to LBF: 13000\nSVZ to PUU: 2230\nSVZ to PAZ: 4458\nSVZ to LUG: 8798\nSVZ to LBF: 5977\nLBF to PUU: 5643\nLBF to PAZ: 2910\nLBF to LUG: 8813\nPUU to PAZ: 3582\nPUU to LUG: 9686\nLUG to PAZ: 9994\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 42745,
"style": "rule"
}
|
{
"exact_answer": 42745,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"EYP\", \"id\": 0}, {\"name\": \"MJT\", \"id\": 1}, {\"name\": \"WBQ\", \"id\": 2}, {\"name\": \"LRR\", \"id\": 3}, {\"name\": \"SVZ\", \"id\": 4}, {\"name\": \"LBF\", \"id\": 5}, {\"name\": \"PUU\", \"id\": 6}, {\"name\": \"LUG\", \"id\": 7}, {\"name\": \"PAZ\", \"id\": 8}], \"links\": [{\"weight\": 9438, \"source\": 0, \"target\": 2}, {\"weight\": 741, \"source\": 0, \"target\": 6}, {\"weight\": 10822, \"source\": 0, \"target\": 1}, {\"weight\": 3577, \"source\": 0, \"target\": 8}, {\"weight\": 13684, \"source\": 0, \"target\": 3}, {\"weight\": 9357, \"source\": 0, \"target\": 7}, {\"weight\": 1901, \"source\": 0, \"target\": 4}, {\"weight\": 5536, \"source\": 0, \"target\": 5}, {\"weight\": 12701, \"source\": 1, \"target\": 2}, {\"weight\": 11151, \"source\": 1, \"target\": 6}, {\"weight\": 11617, \"source\": 1, \"target\": 8}, {\"weight\": 3334, \"source\": 1, \"target\": 3}, {\"weight\": 1989, \"source\": 1, \"target\": 7}, {\"weight\": 10263, \"source\": 1, \"target\": 4}, {\"weight\": 10323, \"source\": 1, \"target\": 5}, {\"weight\": 9539, \"source\": 2, \"target\": 6}, {\"weight\": 6643, \"source\": 2, \"target\": 8}, {\"weight\": 14847, \"source\": 2, \"target\": 3}, {\"weight\": 11240, \"source\": 2, \"target\": 7}, {\"weight\": 9877, \"source\": 2, \"target\": 4}, {\"weight\": 4643, \"source\": 2, \"target\": 5}, {\"weight\": 14013, \"source\": 3, \"target\": 6}, {\"weight\": 14387, \"source\": 3, \"target\": 8}, {\"weight\": 4688, \"source\": 3, \"target\": 7}, {\"weight\": 13125, \"source\": 3, \"target\": 4}, {\"weight\": 13000, \"source\": 3, \"target\": 5}, {\"weight\": 2230, \"source\": 4, \"target\": 6}, {\"weight\": 4458, \"source\": 4, \"target\": 8}, {\"weight\": 8798, \"source\": 4, \"target\": 7}, {\"weight\": 5977, \"source\": 4, \"target\": 5}, {\"weight\": 5643, \"source\": 5, \"target\": 6}, {\"weight\": 2910, \"source\": 5, \"target\": 8}, {\"weight\": 8813, \"source\": 5, \"target\": 7}, {\"weight\": 3582, \"source\": 6, \"target\": 8}, {\"weight\": 9686, \"source\": 6, \"target\": 7}, {\"weight\": 9994, \"source\": 7, \"target\": 8}]}",
"id": 1079,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: EYP, MJT, WBQ, LRR, SVZ, LBF, PUU, LUG, PAZ\n- Travel distances (in kilometers) between each pair of airports:\nEYP to WBQ: 9438\nEYP to PUU: 741\nEYP to MJT: 10822\nEYP to PAZ: 3577\nEYP to LRR: 13684\nEYP to LUG: 9357\nEYP to SVZ: 1901\nEYP to LBF: 5536\nMJT to WBQ: 12701\nMJT to PUU: 11151\nMJT to PAZ: 11617\nMJT to LRR: 3334\nMJT to LUG: 1989\nMJT to SVZ: 10263\nMJT to LBF: 10323\nWBQ to PUU: 9539\nWBQ to PAZ: 6643\nWBQ to LRR: 14847\nWBQ to LUG: 11240\nWBQ to SVZ: 9877\nWBQ to LBF: 4643\nLRR to PUU: 14013\nLRR to PAZ: 14387\nLRR to LUG: 4688\nLRR to SVZ: 13125\nLRR to LBF: 13000\nSVZ to PUU: 2230\nSVZ to PAZ: 4458\nSVZ to LUG: 8798\nSVZ to LBF: 5977\nLBF to PUU: 5643\nLBF to PAZ: 2910\nLBF to LUG: 8813\nPUU to PAZ: 3582\nPUU to LUG: 9686\nLUG to PAZ: 9994\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: AMA, UDJ, PZO, AGH, AZO, ADK, GRW, FMO, CBR\n- Travel distances (in kilometers) between each pair of airports:\nAMA to AZO: 1961\nAMA to PZO: 4976\nAMA to CBR: 13893\nAMA to FMO: 8495\nAMA to ADK: 6354\nAMA to AGH: 8913\nAMA to UDJ: 10329\nAMA to GRW: 6890\nUDJ to AZO: 8730\nUDJ to PZO: 10369\nUDJ to CBR: 15899\nUDJ to FMO: 2415\nUDJ to ADK: 14085\nUDJ to AGH: 2398\nUDJ to GRW: 5457\nPZO to AZO: 4595\nPZO to CBR: 17013\nPZO to FMO: 8369\nPZO to ADK: 11060\nPZO to AGH: 9392\nPZO to GRW: 7444\nAGH to AZO: 7314\nAGH to CBR: 16298\nAGH to FMO: 1529\nAGH to ADK: 12669\nAGH to GRW: 4643\nAZO to CBR: 15293\nAZO to FMO: 6896\nAZO to ADK: 6639\nAZO to GRW: 5291\nADK to CBR: 14793\nADK to FMO: 12405\nADK to GRW: 11810\nGRW to CBR: 19727\nGRW to FMO: 3520\nFMO to CBR: 16759\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 58493,
"style": "rule"
}
|
{
"exact_answer": 58493,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"AMA\", \"id\": 0}, {\"name\": \"UDJ\", \"id\": 1}, {\"name\": \"PZO\", \"id\": 2}, {\"name\": \"AGH\", \"id\": 3}, {\"name\": \"AZO\", \"id\": 4}, {\"name\": \"ADK\", \"id\": 5}, {\"name\": \"GRW\", \"id\": 6}, {\"name\": \"FMO\", \"id\": 7}, {\"name\": \"CBR\", \"id\": 8}], \"links\": [{\"weight\": 1961, \"source\": 0, \"target\": 4}, {\"weight\": 4976, \"source\": 0, \"target\": 2}, {\"weight\": 13893, \"source\": 0, \"target\": 8}, {\"weight\": 8495, \"source\": 0, \"target\": 7}, {\"weight\": 6354, \"source\": 0, \"target\": 5}, {\"weight\": 8913, \"source\": 0, \"target\": 3}, {\"weight\": 10329, \"source\": 0, \"target\": 1}, {\"weight\": 6890, \"source\": 0, \"target\": 6}, {\"weight\": 8730, \"source\": 1, \"target\": 4}, {\"weight\": 10369, \"source\": 1, \"target\": 2}, {\"weight\": 15899, \"source\": 1, \"target\": 8}, {\"weight\": 2415, \"source\": 1, \"target\": 7}, {\"weight\": 14085, \"source\": 1, \"target\": 5}, {\"weight\": 2398, \"source\": 1, \"target\": 3}, {\"weight\": 5457, \"source\": 1, \"target\": 6}, {\"weight\": 4595, \"source\": 2, \"target\": 4}, {\"weight\": 17013, \"source\": 2, \"target\": 8}, {\"weight\": 8369, \"source\": 2, \"target\": 7}, {\"weight\": 11060, \"source\": 2, \"target\": 5}, {\"weight\": 9392, \"source\": 2, \"target\": 3}, {\"weight\": 7444, \"source\": 2, \"target\": 6}, {\"weight\": 7314, \"source\": 3, \"target\": 4}, {\"weight\": 16298, \"source\": 3, \"target\": 8}, {\"weight\": 1529, \"source\": 3, \"target\": 7}, {\"weight\": 12669, \"source\": 3, \"target\": 5}, {\"weight\": 4643, \"source\": 3, \"target\": 6}, {\"weight\": 15293, \"source\": 4, \"target\": 8}, {\"weight\": 6896, \"source\": 4, \"target\": 7}, {\"weight\": 6639, \"source\": 4, \"target\": 5}, {\"weight\": 5291, \"source\": 4, \"target\": 6}, {\"weight\": 14793, \"source\": 5, \"target\": 8}, {\"weight\": 12405, \"source\": 5, \"target\": 7}, {\"weight\": 11810, \"source\": 5, \"target\": 6}, {\"weight\": 19727, \"source\": 6, \"target\": 8}, {\"weight\": 3520, \"source\": 6, \"target\": 7}, {\"weight\": 16759, \"source\": 7, \"target\": 8}]}",
"id": 1080,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: AMA, UDJ, PZO, AGH, AZO, ADK, GRW, FMO, CBR\n- Travel distances (in kilometers) between each pair of airports:\nAMA to AZO: 1961\nAMA to PZO: 4976\nAMA to CBR: 13893\nAMA to FMO: 8495\nAMA to ADK: 6354\nAMA to AGH: 8913\nAMA to UDJ: 10329\nAMA to GRW: 6890\nUDJ to AZO: 8730\nUDJ to PZO: 10369\nUDJ to CBR: 15899\nUDJ to FMO: 2415\nUDJ to ADK: 14085\nUDJ to AGH: 2398\nUDJ to GRW: 5457\nPZO to AZO: 4595\nPZO to CBR: 17013\nPZO to FMO: 8369\nPZO to ADK: 11060\nPZO to AGH: 9392\nPZO to GRW: 7444\nAGH to AZO: 7314\nAGH to CBR: 16298\nAGH to FMO: 1529\nAGH to ADK: 12669\nAGH to GRW: 4643\nAZO to CBR: 15293\nAZO to FMO: 6896\nAZO to ADK: 6639\nAZO to GRW: 5291\nADK to CBR: 14793\nADK to FMO: 12405\nADK to GRW: 11810\nGRW to CBR: 19727\nGRW to FMO: 3520\nFMO to CBR: 16759\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: KAA, USU, MRS, SJL, BDA, KIS, FRA, YHK, PHC\n- Travel distances (in kilometers) between each pair of airports:\nKAA to FRA: 8310\nKAA to KIS: 2274\nKAA to USU: 11687\nKAA to YHK: 17019\nKAA to MRS: 8093\nKAA to BDA: 13646\nKAA to SJL: 12447\nKAA to PHC: 4413\nUSU to FRA: 10581\nUSU to KIS: 9973\nUSU to YHK: 13630\nUSU to MRS: 11154\nUSU to BDA: 15205\nUSU to SJL: 20128\nUSU to PHC: 13011\nMRS to FRA: 776\nMRS to KIS: 6526\nMRS to YHK: 9905\nMRS to BDA: 6488\nMRS to SJL: 10183\nMRS to PHC: 4541\nSJL to FRA: 10446\nSJL to KIS: 13038\nSJL to YHK: 11018\nSJL to BDA: 6515\nSJL to PHC: 9534\nBDA to FRA: 6172\nBDA to KIS: 12621\nBDA to YHK: 5928\nBDA to PHC: 10107\nKIS to FRA: 6596\nKIS to YHK: 16023\nKIS to PHC: 4526\nFRA to YHK: 9430\nFRA to PHC: 5008\nYHK to PHC: 13625\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 58496,
"style": "rule"
}
|
{
"exact_answer": 58496,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"KAA\", \"id\": 0}, {\"name\": \"USU\", \"id\": 1}, {\"name\": \"MRS\", \"id\": 2}, {\"name\": \"SJL\", \"id\": 3}, {\"name\": \"BDA\", \"id\": 4}, {\"name\": \"KIS\", \"id\": 5}, {\"name\": \"FRA\", \"id\": 6}, {\"name\": \"YHK\", \"id\": 7}, {\"name\": \"PHC\", \"id\": 8}], \"links\": [{\"weight\": 8310, \"source\": 0, \"target\": 6}, {\"weight\": 2274, \"source\": 0, \"target\": 5}, {\"weight\": 11687, \"source\": 0, \"target\": 1}, {\"weight\": 17019, \"source\": 0, \"target\": 7}, {\"weight\": 8093, \"source\": 0, \"target\": 2}, {\"weight\": 13646, \"source\": 0, \"target\": 4}, {\"weight\": 12447, \"source\": 0, \"target\": 3}, {\"weight\": 4413, \"source\": 0, \"target\": 8}, {\"weight\": 10581, \"source\": 1, \"target\": 6}, {\"weight\": 9973, \"source\": 1, \"target\": 5}, {\"weight\": 13630, \"source\": 1, \"target\": 7}, {\"weight\": 11154, \"source\": 1, \"target\": 2}, {\"weight\": 15205, \"source\": 1, \"target\": 4}, {\"weight\": 20128, \"source\": 1, \"target\": 3}, {\"weight\": 13011, \"source\": 1, \"target\": 8}, {\"weight\": 776, \"source\": 2, \"target\": 6}, {\"weight\": 6526, \"source\": 2, \"target\": 5}, {\"weight\": 9905, \"source\": 2, \"target\": 7}, {\"weight\": 6488, \"source\": 2, \"target\": 4}, {\"weight\": 10183, \"source\": 2, \"target\": 3}, {\"weight\": 4541, \"source\": 2, \"target\": 8}, {\"weight\": 10446, \"source\": 3, \"target\": 6}, {\"weight\": 13038, \"source\": 3, \"target\": 5}, {\"weight\": 11018, \"source\": 3, \"target\": 7}, {\"weight\": 6515, \"source\": 3, \"target\": 4}, {\"weight\": 9534, \"source\": 3, \"target\": 8}, {\"weight\": 6172, \"source\": 4, \"target\": 6}, {\"weight\": 12621, \"source\": 4, \"target\": 5}, {\"weight\": 5928, \"source\": 4, \"target\": 7}, {\"weight\": 10107, \"source\": 4, \"target\": 8}, {\"weight\": 6596, \"source\": 5, \"target\": 6}, {\"weight\": 16023, \"source\": 5, \"target\": 7}, {\"weight\": 4526, \"source\": 5, \"target\": 8}, {\"weight\": 9430, \"source\": 6, \"target\": 7}, {\"weight\": 5008, \"source\": 6, \"target\": 8}, {\"weight\": 13625, \"source\": 7, \"target\": 8}]}",
"id": 1081,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: KAA, USU, MRS, SJL, BDA, KIS, FRA, YHK, PHC\n- Travel distances (in kilometers) between each pair of airports:\nKAA to FRA: 8310\nKAA to KIS: 2274\nKAA to USU: 11687\nKAA to YHK: 17019\nKAA to MRS: 8093\nKAA to BDA: 13646\nKAA to SJL: 12447\nKAA to PHC: 4413\nUSU to FRA: 10581\nUSU to KIS: 9973\nUSU to YHK: 13630\nUSU to MRS: 11154\nUSU to BDA: 15205\nUSU to SJL: 20128\nUSU to PHC: 13011\nMRS to FRA: 776\nMRS to KIS: 6526\nMRS to YHK: 9905\nMRS to BDA: 6488\nMRS to SJL: 10183\nMRS to PHC: 4541\nSJL to FRA: 10446\nSJL to KIS: 13038\nSJL to YHK: 11018\nSJL to BDA: 6515\nSJL to PHC: 9534\nBDA to FRA: 6172\nBDA to KIS: 12621\nBDA to YHK: 5928\nBDA to PHC: 10107\nKIS to FRA: 6596\nKIS to YHK: 16023\nKIS to PHC: 4526\nFRA to YHK: 9430\nFRA to PHC: 5008\nYHK to PHC: 13625\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SNP, LOH, ADA, USN, TQL, IVC, KEJ, BIO, SXR\n- Travel distances (in kilometers) between each pair of airports:\nSNP to BIO: 12136\nSNP to SXR: 16682\nSNP to ADA: 14219\nSNP to LOH: 10648\nSNP to USN: 12716\nSNP to IVC: 13999\nSNP to KEJ: 15676\nSNP to TQL: 15241\nLOH to BIO: 9411\nLOH to SXR: 16266\nLOH to ADA: 12577\nLOH to USN: 16248\nLOH to IVC: 14671\nLOH to KEJ: 15063\nLOH to TQL: 14617\nADA to BIO: 3327\nADA to SXR: 4506\nADA to USN: 8319\nADA to IVC: 16932\nADA to KEJ: 5187\nADA to TQL: 4620\nUSN to BIO: 10177\nUSN to SXR: 5690\nUSN to IVC: 11109\nUSN to KEJ: 10012\nUSN to TQL: 6321\nTQL to BIO: 5691\nTQL to SXR: 4804\nTQL to IVC: 16456\nTQL to KEJ: 5481\nIVC to BIO: 20115\nIVC to SXR: 13665\nIVC to KEJ: 20003\nKEJ to BIO: 6165\nKEJ to SXR: 7174\nBIO to SXR: 6996\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 69656,
"style": "rule"
}
|
{
"exact_answer": 69656,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"SNP\", \"id\": 0}, {\"name\": \"LOH\", \"id\": 1}, {\"name\": \"ADA\", \"id\": 2}, {\"name\": \"USN\", \"id\": 3}, {\"name\": \"TQL\", \"id\": 4}, {\"name\": \"IVC\", \"id\": 5}, {\"name\": \"KEJ\", \"id\": 6}, {\"name\": \"BIO\", \"id\": 7}, {\"name\": \"SXR\", \"id\": 8}], \"links\": [{\"weight\": 12136, \"source\": 0, \"target\": 7}, {\"weight\": 16682, \"source\": 0, \"target\": 8}, {\"weight\": 14219, \"source\": 0, \"target\": 2}, {\"weight\": 10648, \"source\": 0, \"target\": 1}, {\"weight\": 12716, \"source\": 0, \"target\": 3}, {\"weight\": 13999, \"source\": 0, \"target\": 5}, {\"weight\": 15676, \"source\": 0, \"target\": 6}, {\"weight\": 15241, \"source\": 0, \"target\": 4}, {\"weight\": 9411, \"source\": 1, \"target\": 7}, {\"weight\": 16266, \"source\": 1, \"target\": 8}, {\"weight\": 12577, \"source\": 1, \"target\": 2}, {\"weight\": 16248, \"source\": 1, \"target\": 3}, {\"weight\": 14671, \"source\": 1, \"target\": 5}, {\"weight\": 15063, \"source\": 1, \"target\": 6}, {\"weight\": 14617, \"source\": 1, \"target\": 4}, {\"weight\": 3327, \"source\": 2, \"target\": 7}, {\"weight\": 4506, \"source\": 2, \"target\": 8}, {\"weight\": 8319, \"source\": 2, \"target\": 3}, {\"weight\": 16932, \"source\": 2, \"target\": 5}, {\"weight\": 5187, \"source\": 2, \"target\": 6}, {\"weight\": 4620, \"source\": 2, \"target\": 4}, {\"weight\": 10177, \"source\": 3, \"target\": 7}, {\"weight\": 5690, \"source\": 3, \"target\": 8}, {\"weight\": 11109, \"source\": 3, \"target\": 5}, {\"weight\": 10012, \"source\": 3, \"target\": 6}, {\"weight\": 6321, \"source\": 3, \"target\": 4}, {\"weight\": 5691, \"source\": 4, \"target\": 7}, {\"weight\": 4804, \"source\": 4, \"target\": 8}, {\"weight\": 16456, \"source\": 4, \"target\": 5}, {\"weight\": 5481, \"source\": 4, \"target\": 6}, {\"weight\": 20115, \"source\": 5, \"target\": 7}, {\"weight\": 13665, \"source\": 5, \"target\": 8}, {\"weight\": 20003, \"source\": 5, \"target\": 6}, {\"weight\": 6165, \"source\": 6, \"target\": 7}, {\"weight\": 7174, \"source\": 6, \"target\": 8}, {\"weight\": 6996, \"source\": 7, \"target\": 8}]}",
"id": 1082,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SNP, LOH, ADA, USN, TQL, IVC, KEJ, BIO, SXR\n- Travel distances (in kilometers) between each pair of airports:\nSNP to BIO: 12136\nSNP to SXR: 16682\nSNP to ADA: 14219\nSNP to LOH: 10648\nSNP to USN: 12716\nSNP to IVC: 13999\nSNP to KEJ: 15676\nSNP to TQL: 15241\nLOH to BIO: 9411\nLOH to SXR: 16266\nLOH to ADA: 12577\nLOH to USN: 16248\nLOH to IVC: 14671\nLOH to KEJ: 15063\nLOH to TQL: 14617\nADA to BIO: 3327\nADA to SXR: 4506\nADA to USN: 8319\nADA to IVC: 16932\nADA to KEJ: 5187\nADA to TQL: 4620\nUSN to BIO: 10177\nUSN to SXR: 5690\nUSN to IVC: 11109\nUSN to KEJ: 10012\nUSN to TQL: 6321\nTQL to BIO: 5691\nTQL to SXR: 4804\nTQL to IVC: 16456\nTQL to KEJ: 5481\nIVC to BIO: 20115\nIVC to SXR: 13665\nIVC to KEJ: 20003\nKEJ to BIO: 6165\nKEJ to SXR: 7174\nBIO to SXR: 6996\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, VCP, OTD, UMD, RNO, UEO, VIG, SSG, STG\n- Travel distances (in kilometers) between each pair of airports:\nDEC to OTD: 4146\nDEC to RNO: 2701\nDEC to VCP: 8392\nDEC to SSG: 10555\nDEC to STG: 6053\nDEC to UMD: 7282\nDEC to UEO: 12030\nDEC to VIG: 4630\nVCP to OTD: 6281\nVCP to RNO: 10400\nVCP to SSG: 7092\nVCP to STG: 14188\nVCP to UMD: 13373\nVCP to UEO: 19531\nVCP to VIG: 5112\nOTD to RNO: 5484\nOTD to SSG: 12456\nOTD to STG: 9578\nOTD to UMD: 10460\nOTD to UEO: 15427\nOTD to VIG: 3058\nUMD to RNO: 8879\nUMD to SSG: 9434\nUMD to STG: 11531\nUMD to UEO: 12858\nUMD to VIG: 10148\nRNO to SSG: 12987\nRNO to STG: 4425\nRNO to UEO: 10163\nRNO to VIG: 6663\nUEO to SSG: 12957\nUEO to STG: 12918\nUEO to VIG: 16357\nVIG to SSG: 10514\nVIG to STG: 10410\nSSG to STG: 16044\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 61744,
"style": "rule"
}
|
{
"exact_answer": 61744,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"DEC\", \"id\": 0}, {\"name\": \"VCP\", \"id\": 1}, {\"name\": \"OTD\", \"id\": 2}, {\"name\": \"UMD\", \"id\": 3}, {\"name\": \"RNO\", \"id\": 4}, {\"name\": \"UEO\", \"id\": 5}, {\"name\": \"VIG\", \"id\": 6}, {\"name\": \"SSG\", \"id\": 7}, {\"name\": \"STG\", \"id\": 8}], \"links\": [{\"weight\": 4146, \"source\": 0, \"target\": 2}, {\"weight\": 2701, \"source\": 0, \"target\": 4}, {\"weight\": 8392, \"source\": 0, \"target\": 1}, {\"weight\": 10555, \"source\": 0, \"target\": 7}, {\"weight\": 6053, \"source\": 0, \"target\": 8}, {\"weight\": 7282, \"source\": 0, \"target\": 3}, {\"weight\": 12030, \"source\": 0, \"target\": 5}, {\"weight\": 4630, \"source\": 0, \"target\": 6}, {\"weight\": 6281, \"source\": 1, \"target\": 2}, {\"weight\": 10400, \"source\": 1, \"target\": 4}, {\"weight\": 7092, \"source\": 1, \"target\": 7}, {\"weight\": 14188, \"source\": 1, \"target\": 8}, {\"weight\": 13373, \"source\": 1, \"target\": 3}, {\"weight\": 19531, \"source\": 1, \"target\": 5}, {\"weight\": 5112, \"source\": 1, \"target\": 6}, {\"weight\": 5484, \"source\": 2, \"target\": 4}, {\"weight\": 12456, \"source\": 2, \"target\": 7}, {\"weight\": 9578, \"source\": 2, \"target\": 8}, {\"weight\": 10460, \"source\": 2, \"target\": 3}, {\"weight\": 15427, \"source\": 2, \"target\": 5}, {\"weight\": 3058, \"source\": 2, \"target\": 6}, {\"weight\": 8879, \"source\": 3, \"target\": 4}, {\"weight\": 9434, \"source\": 3, \"target\": 7}, {\"weight\": 11531, \"source\": 3, \"target\": 8}, {\"weight\": 12858, \"source\": 3, \"target\": 5}, {\"weight\": 10148, \"source\": 3, \"target\": 6}, {\"weight\": 12987, \"source\": 4, \"target\": 7}, {\"weight\": 4425, \"source\": 4, \"target\": 8}, {\"weight\": 10163, \"source\": 4, \"target\": 5}, {\"weight\": 6663, \"source\": 4, \"target\": 6}, {\"weight\": 12957, \"source\": 5, \"target\": 7}, {\"weight\": 12918, \"source\": 5, \"target\": 8}, {\"weight\": 16357, \"source\": 5, \"target\": 6}, {\"weight\": 10514, \"source\": 6, \"target\": 7}, {\"weight\": 10410, \"source\": 6, \"target\": 8}, {\"weight\": 16044, \"source\": 7, \"target\": 8}]}",
"id": 1083,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, VCP, OTD, UMD, RNO, UEO, VIG, SSG, STG\n- Travel distances (in kilometers) between each pair of airports:\nDEC to OTD: 4146\nDEC to RNO: 2701\nDEC to VCP: 8392\nDEC to SSG: 10555\nDEC to STG: 6053\nDEC to UMD: 7282\nDEC to UEO: 12030\nDEC to VIG: 4630\nVCP to OTD: 6281\nVCP to RNO: 10400\nVCP to SSG: 7092\nVCP to STG: 14188\nVCP to UMD: 13373\nVCP to UEO: 19531\nVCP to VIG: 5112\nOTD to RNO: 5484\nOTD to SSG: 12456\nOTD to STG: 9578\nOTD to UMD: 10460\nOTD to UEO: 15427\nOTD to VIG: 3058\nUMD to RNO: 8879\nUMD to SSG: 9434\nUMD to STG: 11531\nUMD to UEO: 12858\nUMD to VIG: 10148\nRNO to SSG: 12987\nRNO to STG: 4425\nRNO to UEO: 10163\nRNO to VIG: 6663\nUEO to SSG: 12957\nUEO to STG: 12918\nUEO to VIG: 16357\nVIG to SSG: 10514\nVIG to STG: 10410\nSSG to STG: 16044\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, PDX, HVR, ZLO, PAS, PXU, KYZ, KOO, LUX\n- Travel distances (in kilometers) between each pair of airports:\nUGB to ZLO: 6525\nUGB to HVR: 4321\nUGB to PAS: 13097\nUGB to PDX: 3090\nUGB to LUX: 11094\nUGB to KOO: 18467\nUGB to KYZ: 13949\nUGB to PXU: 14518\nPDX to ZLO: 3484\nPDX to HVR: 1407\nPDX to PAS: 10354\nPDX to LUX: 8343\nPDX to KOO: 16098\nPDX to KYZ: 11218\nPDX to PXU: 11787\nHVR to ZLO: 3958\nHVR to PAS: 10526\nHVR to LUX: 8471\nHVR to KOO: 15327\nHVR to KYZ: 12392\nHVR to PXU: 12961\nZLO to PAS: 11847\nZLO to LUX: 9796\nZLO to KOO: 15706\nZLO to KYZ: 14509\nZLO to PXU: 14951\nPAS to LUX: 2064\nPAS to KOO: 7806\nPAS to KYZ: 7005\nPAS to PXU: 9089\nPXU to LUX: 9722\nPXU to KOO: 12631\nPXU to KYZ: 5413\nKYZ to LUX: 7034\nKYZ to KOO: 13157\nKOO to LUX: 8239\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 60114,
"style": "rule"
}
|
{
"exact_answer": 60114,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"UGB\", \"id\": 0}, {\"name\": \"PDX\", \"id\": 1}, {\"name\": \"HVR\", \"id\": 2}, {\"name\": \"ZLO\", \"id\": 3}, {\"name\": \"PAS\", \"id\": 4}, {\"name\": \"PXU\", \"id\": 5}, {\"name\": \"KYZ\", \"id\": 6}, {\"name\": \"KOO\", \"id\": 7}, {\"name\": \"LUX\", \"id\": 8}], \"links\": [{\"weight\": 6525, \"source\": 0, \"target\": 3}, {\"weight\": 4321, \"source\": 0, \"target\": 2}, {\"weight\": 13097, \"source\": 0, \"target\": 4}, {\"weight\": 3090, \"source\": 0, \"target\": 1}, {\"weight\": 11094, \"source\": 0, \"target\": 8}, {\"weight\": 18467, \"source\": 0, \"target\": 7}, {\"weight\": 13949, \"source\": 0, \"target\": 6}, {\"weight\": 14518, \"source\": 0, \"target\": 5}, {\"weight\": 3484, \"source\": 1, \"target\": 3}, {\"weight\": 1407, \"source\": 1, \"target\": 2}, {\"weight\": 10354, \"source\": 1, \"target\": 4}, {\"weight\": 8343, \"source\": 1, \"target\": 8}, {\"weight\": 16098, \"source\": 1, \"target\": 7}, {\"weight\": 11218, \"source\": 1, \"target\": 6}, {\"weight\": 11787, \"source\": 1, \"target\": 5}, {\"weight\": 3958, \"source\": 2, \"target\": 3}, {\"weight\": 10526, \"source\": 2, \"target\": 4}, {\"weight\": 8471, \"source\": 2, \"target\": 8}, {\"weight\": 15327, \"source\": 2, \"target\": 7}, {\"weight\": 12392, \"source\": 2, \"target\": 6}, {\"weight\": 12961, \"source\": 2, \"target\": 5}, {\"weight\": 11847, \"source\": 3, \"target\": 4}, {\"weight\": 9796, \"source\": 3, \"target\": 8}, {\"weight\": 15706, \"source\": 3, \"target\": 7}, {\"weight\": 14509, \"source\": 3, \"target\": 6}, {\"weight\": 14951, \"source\": 3, \"target\": 5}, {\"weight\": 2064, \"source\": 4, \"target\": 8}, {\"weight\": 7806, \"source\": 4, \"target\": 7}, {\"weight\": 7005, \"source\": 4, \"target\": 6}, {\"weight\": 9089, \"source\": 4, \"target\": 5}, {\"weight\": 9722, \"source\": 5, \"target\": 8}, {\"weight\": 12631, \"source\": 5, \"target\": 7}, {\"weight\": 5413, \"source\": 5, \"target\": 6}, {\"weight\": 7034, \"source\": 6, \"target\": 8}, {\"weight\": 13157, \"source\": 6, \"target\": 7}, {\"weight\": 8239, \"source\": 7, \"target\": 8}]}",
"id": 1084,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, PDX, HVR, ZLO, PAS, PXU, KYZ, KOO, LUX\n- Travel distances (in kilometers) between each pair of airports:\nUGB to ZLO: 6525\nUGB to HVR: 4321\nUGB to PAS: 13097\nUGB to PDX: 3090\nUGB to LUX: 11094\nUGB to KOO: 18467\nUGB to KYZ: 13949\nUGB to PXU: 14518\nPDX to ZLO: 3484\nPDX to HVR: 1407\nPDX to PAS: 10354\nPDX to LUX: 8343\nPDX to KOO: 16098\nPDX to KYZ: 11218\nPDX to PXU: 11787\nHVR to ZLO: 3958\nHVR to PAS: 10526\nHVR to LUX: 8471\nHVR to KOO: 15327\nHVR to KYZ: 12392\nHVR to PXU: 12961\nZLO to PAS: 11847\nZLO to LUX: 9796\nZLO to KOO: 15706\nZLO to KYZ: 14509\nZLO to PXU: 14951\nPAS to LUX: 2064\nPAS to KOO: 7806\nPAS to KYZ: 7005\nPAS to PXU: 9089\nPXU to LUX: 9722\nPXU to KOO: 12631\nPXU to KYZ: 5413\nKYZ to LUX: 7034\nKYZ to KOO: 13157\nKOO to LUX: 8239\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: KGP, HLN, NWI, LMA, ISP, YBL, MKK, DOY, ARN\n- Travel distances (in kilometers) between each pair of airports:\nKGP to ARN: 3468\nKGP to YBL: 11350\nKGP to LMA: 14023\nKGP to ISP: 9634\nKGP to HLN: 12112\nKGP to NWI: 4792\nKGP to DOY: 5678\nKGP to MKK: 13047\nHLN to ARN: 8740\nHLN to YBL: 1163\nHLN to LMA: 3485\nHLN to ISP: 3246\nHLN to NWI: 8312\nHLN to DOY: 9799\nHLN to MKK: 5109\nNWI to ARN: 1391\nNWI to YBL: 7692\nNWI to LMA: 10365\nNWI to ISP: 5562\nNWI to DOY: 8400\nNWI to MKK: 11961\nLMA to ARN: 10651\nLMA to YBL: 3074\nLMA to ISP: 6479\nLMA to DOY: 11710\nLMA to MKK: 5216\nISP to ARN: 6262\nISP to YBL: 4258\nISP to DOY: 11637\nISP to MKK: 8089\nYBL to ARN: 7978\nYBL to DOY: 8997\nYBL to MKK: 4547\nMKK to ARN: 12247\nMKK to DOY: 8215\nDOY to ARN: 7025\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 37013,
"style": "rule"
}
|
{
"exact_answer": 37013,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"KGP\", \"id\": 0}, {\"name\": \"HLN\", \"id\": 1}, {\"name\": \"NWI\", \"id\": 2}, {\"name\": \"LMA\", \"id\": 3}, {\"name\": \"ISP\", \"id\": 4}, {\"name\": \"YBL\", \"id\": 5}, {\"name\": \"MKK\", \"id\": 6}, {\"name\": \"DOY\", \"id\": 7}, {\"name\": \"ARN\", \"id\": 8}], \"links\": [{\"weight\": 3468, \"source\": 0, \"target\": 8}, {\"weight\": 11350, \"source\": 0, \"target\": 5}, {\"weight\": 14023, \"source\": 0, \"target\": 3}, {\"weight\": 9634, \"source\": 0, \"target\": 4}, {\"weight\": 12112, \"source\": 0, \"target\": 1}, {\"weight\": 4792, \"source\": 0, \"target\": 2}, {\"weight\": 5678, \"source\": 0, \"target\": 7}, {\"weight\": 13047, \"source\": 0, \"target\": 6}, {\"weight\": 8740, \"source\": 1, \"target\": 8}, {\"weight\": 1163, \"source\": 1, \"target\": 5}, {\"weight\": 3485, \"source\": 1, \"target\": 3}, {\"weight\": 3246, \"source\": 1, \"target\": 4}, {\"weight\": 8312, \"source\": 1, \"target\": 2}, {\"weight\": 9799, \"source\": 1, \"target\": 7}, {\"weight\": 5109, \"source\": 1, \"target\": 6}, {\"weight\": 1391, \"source\": 2, \"target\": 8}, {\"weight\": 7692, \"source\": 2, \"target\": 5}, {\"weight\": 10365, \"source\": 2, \"target\": 3}, {\"weight\": 5562, \"source\": 2, \"target\": 4}, {\"weight\": 8400, \"source\": 2, \"target\": 7}, {\"weight\": 11961, \"source\": 2, \"target\": 6}, {\"weight\": 10651, \"source\": 3, \"target\": 8}, {\"weight\": 3074, \"source\": 3, \"target\": 5}, {\"weight\": 6479, \"source\": 3, \"target\": 4}, {\"weight\": 11710, \"source\": 3, \"target\": 7}, {\"weight\": 5216, \"source\": 3, \"target\": 6}, {\"weight\": 6262, \"source\": 4, \"target\": 8}, {\"weight\": 4258, \"source\": 4, \"target\": 5}, {\"weight\": 11637, \"source\": 4, \"target\": 7}, {\"weight\": 8089, \"source\": 4, \"target\": 6}, {\"weight\": 7978, \"source\": 5, \"target\": 8}, {\"weight\": 8997, \"source\": 5, \"target\": 7}, {\"weight\": 4547, \"source\": 5, \"target\": 6}, {\"weight\": 12247, \"source\": 6, \"target\": 8}, {\"weight\": 8215, \"source\": 6, \"target\": 7}, {\"weight\": 7025, \"source\": 7, \"target\": 8}]}",
"id": 1085,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: KGP, HLN, NWI, LMA, ISP, YBL, MKK, DOY, ARN\n- Travel distances (in kilometers) between each pair of airports:\nKGP to ARN: 3468\nKGP to YBL: 11350\nKGP to LMA: 14023\nKGP to ISP: 9634\nKGP to HLN: 12112\nKGP to NWI: 4792\nKGP to DOY: 5678\nKGP to MKK: 13047\nHLN to ARN: 8740\nHLN to YBL: 1163\nHLN to LMA: 3485\nHLN to ISP: 3246\nHLN to NWI: 8312\nHLN to DOY: 9799\nHLN to MKK: 5109\nNWI to ARN: 1391\nNWI to YBL: 7692\nNWI to LMA: 10365\nNWI to ISP: 5562\nNWI to DOY: 8400\nNWI to MKK: 11961\nLMA to ARN: 10651\nLMA to YBL: 3074\nLMA to ISP: 6479\nLMA to DOY: 11710\nLMA to MKK: 5216\nISP to ARN: 6262\nISP to YBL: 4258\nISP to DOY: 11637\nISP to MKK: 8089\nYBL to ARN: 7978\nYBL to DOY: 8997\nYBL to MKK: 4547\nMKK to ARN: 12247\nMKK to DOY: 8215\nDOY to ARN: 7025\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: UAP, ETH, VDC, TCO, GWL, AGM, DLG, YIN, GCI\n- Travel distances (in kilometers) between each pair of airports:\nUAP to VDC: 13202\nUAP to ETH: 20441\nUAP to GCI: 17063\nUAP to GWL: 18586\nUAP to DLG: 10887\nUAP to TCO: 13914\nUAP to YIN: 15970\nUAP to AGM: 17314\nETH to VDC: 10971\nETH to GCI: 3929\nETH to GWL: 5290\nETH to DLG: 14211\nETH to TCO: 12441\nETH to YIN: 5492\nETH to AGM: 7490\nVDC to GCI: 8550\nVDC to GWL: 15181\nVDC to DLG: 13591\nVDC to TCO: 6059\nVDC to YIN: 14920\nVDC to AGM: 12256\nTCO to GCI: 9421\nTCO to GWL: 17130\nTCO to DLG: 9655\nTCO to YIN: 15732\nTCO to AGM: 10748\nGWL to GCI: 8343\nGWL to DLG: 17288\nGWL to YIN: 4970\nGWL to AGM: 11531\nAGM to GCI: 4158\nAGM to DLG: 10788\nAGM to YIN: 9662\nDLG to GCI: 10696\nDLG to YIN: 14453\nYIN to GCI: 6971\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 73029,
"style": "rule"
}
|
{
"exact_answer": 73029,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"UAP\", \"id\": 0}, {\"name\": \"ETH\", \"id\": 1}, {\"name\": \"VDC\", \"id\": 2}, {\"name\": \"TCO\", \"id\": 3}, {\"name\": \"GWL\", \"id\": 4}, {\"name\": \"AGM\", \"id\": 5}, {\"name\": \"DLG\", \"id\": 6}, {\"name\": \"YIN\", \"id\": 7}, {\"name\": \"GCI\", \"id\": 8}], \"links\": [{\"weight\": 13202, \"source\": 0, \"target\": 2}, {\"weight\": 20441, \"source\": 0, \"target\": 1}, {\"weight\": 17063, \"source\": 0, \"target\": 8}, {\"weight\": 18586, \"source\": 0, \"target\": 4}, {\"weight\": 10887, \"source\": 0, \"target\": 6}, {\"weight\": 13914, \"source\": 0, \"target\": 3}, {\"weight\": 15970, \"source\": 0, \"target\": 7}, {\"weight\": 17314, \"source\": 0, \"target\": 5}, {\"weight\": 10971, \"source\": 1, \"target\": 2}, {\"weight\": 3929, \"source\": 1, \"target\": 8}, {\"weight\": 5290, \"source\": 1, \"target\": 4}, {\"weight\": 14211, \"source\": 1, \"target\": 6}, {\"weight\": 12441, \"source\": 1, \"target\": 3}, {\"weight\": 5492, \"source\": 1, \"target\": 7}, {\"weight\": 7490, \"source\": 1, \"target\": 5}, {\"weight\": 8550, \"source\": 2, \"target\": 8}, {\"weight\": 15181, \"source\": 2, \"target\": 4}, {\"weight\": 13591, \"source\": 2, \"target\": 6}, {\"weight\": 6059, \"source\": 2, \"target\": 3}, {\"weight\": 14920, \"source\": 2, \"target\": 7}, {\"weight\": 12256, \"source\": 2, \"target\": 5}, {\"weight\": 9421, \"source\": 3, \"target\": 8}, {\"weight\": 17130, \"source\": 3, \"target\": 4}, {\"weight\": 9655, \"source\": 3, \"target\": 6}, {\"weight\": 15732, \"source\": 3, \"target\": 7}, {\"weight\": 10748, \"source\": 3, \"target\": 5}, {\"weight\": 8343, \"source\": 4, \"target\": 8}, {\"weight\": 17288, \"source\": 4, \"target\": 6}, {\"weight\": 4970, \"source\": 4, \"target\": 7}, {\"weight\": 11531, \"source\": 4, \"target\": 5}, {\"weight\": 4158, \"source\": 5, \"target\": 8}, {\"weight\": 10788, \"source\": 5, \"target\": 6}, {\"weight\": 9662, \"source\": 5, \"target\": 7}, {\"weight\": 10696, \"source\": 6, \"target\": 8}, {\"weight\": 14453, \"source\": 6, \"target\": 7}, {\"weight\": 6971, \"source\": 7, \"target\": 8}]}",
"id": 1086,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: UAP, ETH, VDC, TCO, GWL, AGM, DLG, YIN, GCI\n- Travel distances (in kilometers) between each pair of airports:\nUAP to VDC: 13202\nUAP to ETH: 20441\nUAP to GCI: 17063\nUAP to GWL: 18586\nUAP to DLG: 10887\nUAP to TCO: 13914\nUAP to YIN: 15970\nUAP to AGM: 17314\nETH to VDC: 10971\nETH to GCI: 3929\nETH to GWL: 5290\nETH to DLG: 14211\nETH to TCO: 12441\nETH to YIN: 5492\nETH to AGM: 7490\nVDC to GCI: 8550\nVDC to GWL: 15181\nVDC to DLG: 13591\nVDC to TCO: 6059\nVDC to YIN: 14920\nVDC to AGM: 12256\nTCO to GCI: 9421\nTCO to GWL: 17130\nTCO to DLG: 9655\nTCO to YIN: 15732\nTCO to AGM: 10748\nGWL to GCI: 8343\nGWL to DLG: 17288\nGWL to YIN: 4970\nGWL to AGM: 11531\nAGM to GCI: 4158\nAGM to DLG: 10788\nAGM to YIN: 9662\nDLG to GCI: 10696\nDLG to YIN: 14453\nYIN to GCI: 6971\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: AOE, NAP, SJL, UTT, VGZ, DOK, NBE, AUY, BGA\n- Travel distances (in kilometers) between each pair of airports:\nAOE to NAP: 3705\nAOE to VGZ: 11885\nAOE to NBE: 4075\nAOE to SJL: 12534\nAOE to BGA: 11497\nAOE to DOK: 4771\nAOE to AUY: 19652\nAOE to UTT: 11863\nNAP to VGZ: 10172\nNAP to NBE: 935\nNAP to SJL: 10781\nNAP to BGA: 9805\nNAP to DOK: 2216\nNAP to AUY: 17293\nNAP to UTT: 9187\nSJL to VGZ: 4562\nSJL to NBE: 10850\nSJL to BGA: 4203\nSJL to DOK: 12575\nSJL to AUY: 18480\nSJL to UTT: 11697\nUTT to VGZ: 13014\nUTT to NBE: 8991\nUTT to BGA: 12666\nUTT to DOK: 8908\nUTT to AUY: 14432\nVGZ to NBE: 10377\nVGZ to BGA: 926\nVGZ to DOK: 11854\nVGZ to AUY: 16416\nDOK to NBE: 2774\nDOK to BGA: 11453\nDOK to AUY: 15772\nNBE to BGA: 10010\nNBE to AUY: 17820\nAUY to BGA: 15739\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 64327,
"style": "rule"
}
|
{
"exact_answer": 64327,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"AOE\", \"id\": 0}, {\"name\": \"NAP\", \"id\": 1}, {\"name\": \"SJL\", \"id\": 2}, {\"name\": \"UTT\", \"id\": 3}, {\"name\": \"VGZ\", \"id\": 4}, {\"name\": \"DOK\", \"id\": 5}, {\"name\": \"NBE\", \"id\": 6}, {\"name\": \"AUY\", \"id\": 7}, {\"name\": \"BGA\", \"id\": 8}], \"links\": [{\"weight\": 3705, \"source\": 0, \"target\": 1}, {\"weight\": 11885, \"source\": 0, \"target\": 4}, {\"weight\": 4075, \"source\": 0, \"target\": 6}, {\"weight\": 12534, \"source\": 0, \"target\": 2}, {\"weight\": 11497, \"source\": 0, \"target\": 8}, {\"weight\": 4771, \"source\": 0, \"target\": 5}, {\"weight\": 19652, \"source\": 0, \"target\": 7}, {\"weight\": 11863, \"source\": 0, \"target\": 3}, {\"weight\": 10172, \"source\": 1, \"target\": 4}, {\"weight\": 935, \"source\": 1, \"target\": 6}, {\"weight\": 10781, \"source\": 1, \"target\": 2}, {\"weight\": 9805, \"source\": 1, \"target\": 8}, {\"weight\": 2216, \"source\": 1, \"target\": 5}, {\"weight\": 17293, \"source\": 1, \"target\": 7}, {\"weight\": 9187, \"source\": 1, \"target\": 3}, {\"weight\": 4562, \"source\": 2, \"target\": 4}, {\"weight\": 10850, \"source\": 2, \"target\": 6}, {\"weight\": 4203, \"source\": 2, \"target\": 8}, {\"weight\": 12575, \"source\": 2, \"target\": 5}, {\"weight\": 18480, \"source\": 2, \"target\": 7}, {\"weight\": 11697, \"source\": 2, \"target\": 3}, {\"weight\": 13014, \"source\": 3, \"target\": 4}, {\"weight\": 8991, \"source\": 3, \"target\": 6}, {\"weight\": 12666, \"source\": 3, \"target\": 8}, {\"weight\": 8908, \"source\": 3, \"target\": 5}, {\"weight\": 14432, \"source\": 3, \"target\": 7}, {\"weight\": 10377, \"source\": 4, \"target\": 6}, {\"weight\": 926, \"source\": 4, \"target\": 8}, {\"weight\": 11854, \"source\": 4, \"target\": 5}, {\"weight\": 16416, \"source\": 4, \"target\": 7}, {\"weight\": 2774, \"source\": 5, \"target\": 6}, {\"weight\": 11453, \"source\": 5, \"target\": 8}, {\"weight\": 15772, \"source\": 5, \"target\": 7}, {\"weight\": 10010, \"source\": 6, \"target\": 8}, {\"weight\": 17820, \"source\": 6, \"target\": 7}, {\"weight\": 15739, \"source\": 7, \"target\": 8}]}",
"id": 1087,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: AOE, NAP, SJL, UTT, VGZ, DOK, NBE, AUY, BGA\n- Travel distances (in kilometers) between each pair of airports:\nAOE to NAP: 3705\nAOE to VGZ: 11885\nAOE to NBE: 4075\nAOE to SJL: 12534\nAOE to BGA: 11497\nAOE to DOK: 4771\nAOE to AUY: 19652\nAOE to UTT: 11863\nNAP to VGZ: 10172\nNAP to NBE: 935\nNAP to SJL: 10781\nNAP to BGA: 9805\nNAP to DOK: 2216\nNAP to AUY: 17293\nNAP to UTT: 9187\nSJL to VGZ: 4562\nSJL to NBE: 10850\nSJL to BGA: 4203\nSJL to DOK: 12575\nSJL to AUY: 18480\nSJL to UTT: 11697\nUTT to VGZ: 13014\nUTT to NBE: 8991\nUTT to BGA: 12666\nUTT to DOK: 8908\nUTT to AUY: 14432\nVGZ to NBE: 10377\nVGZ to BGA: 926\nVGZ to DOK: 11854\nVGZ to AUY: 16416\nDOK to NBE: 2774\nDOK to BGA: 11453\nDOK to AUY: 15772\nNBE to BGA: 10010\nNBE to AUY: 17820\nAUY to BGA: 15739\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: HPB, SYR, JST, HRB, KDI, HUX, CZX, HRO, YNB\n- Travel distances (in kilometers) between each pair of airports:\nHPB to HRB: 12489\nHPB to CZX: 12544\nHPB to HUX: 7505\nHPB to SYR: 6305\nHPB to YNB: 15221\nHPB to KDI: 16683\nHPB to HRO: 5923\nHPB to JST: 6576\nSYR to HRB: 11814\nSYR to CZX: 11802\nSYR to HUX: 3846\nSYR to YNB: 10078\nSYR to KDI: 16276\nSYR to HRO: 1857\nSYR to JST: 668\nJST to HRB: 12271\nJST to CZX: 12255\nJST to HUX: 3687\nJST to YNB: 10509\nJST to KDI: 16733\nJST to HRO: 1703\nHRB to CZX: 1621\nHRB to HUX: 13385\nHRB to YNB: 8343\nHRB to KDI: 6228\nHRB to HRO: 12035\nKDI to CZX: 4747\nKDI to HUX: 17547\nKDI to YNB: 9752\nKDI to HRO: 16262\nHUX to CZX: 13579\nHUX to YNB: 13794\nHUX to HRO: 2653\nCZX to YNB: 8013\nCZX to HRO: 12090\nHRO to YNB: 11779\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 51216,
"style": "rule"
}
|
{
"exact_answer": 51216,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"HPB\", \"id\": 0}, {\"name\": \"SYR\", \"id\": 1}, {\"name\": \"JST\", \"id\": 2}, {\"name\": \"HRB\", \"id\": 3}, {\"name\": \"KDI\", \"id\": 4}, {\"name\": \"HUX\", \"id\": 5}, {\"name\": \"CZX\", \"id\": 6}, {\"name\": \"HRO\", \"id\": 7}, {\"name\": \"YNB\", \"id\": 8}], \"links\": [{\"weight\": 12489, \"source\": 0, \"target\": 3}, {\"weight\": 12544, \"source\": 0, \"target\": 6}, {\"weight\": 7505, \"source\": 0, \"target\": 5}, {\"weight\": 6305, \"source\": 0, \"target\": 1}, {\"weight\": 15221, \"source\": 0, \"target\": 8}, {\"weight\": 16683, \"source\": 0, \"target\": 4}, {\"weight\": 5923, \"source\": 0, \"target\": 7}, {\"weight\": 6576, \"source\": 0, \"target\": 2}, {\"weight\": 11814, \"source\": 1, \"target\": 3}, {\"weight\": 11802, \"source\": 1, \"target\": 6}, {\"weight\": 3846, \"source\": 1, \"target\": 5}, {\"weight\": 10078, \"source\": 1, \"target\": 8}, {\"weight\": 16276, \"source\": 1, \"target\": 4}, {\"weight\": 1857, \"source\": 1, \"target\": 7}, {\"weight\": 668, \"source\": 1, \"target\": 2}, {\"weight\": 12271, \"source\": 2, \"target\": 3}, {\"weight\": 12255, \"source\": 2, \"target\": 6}, {\"weight\": 3687, \"source\": 2, \"target\": 5}, {\"weight\": 10509, \"source\": 2, \"target\": 8}, {\"weight\": 16733, \"source\": 2, \"target\": 4}, {\"weight\": 1703, \"source\": 2, \"target\": 7}, {\"weight\": 1621, \"source\": 3, \"target\": 6}, {\"weight\": 13385, \"source\": 3, \"target\": 5}, {\"weight\": 8343, \"source\": 3, \"target\": 8}, {\"weight\": 6228, \"source\": 3, \"target\": 4}, {\"weight\": 12035, \"source\": 3, \"target\": 7}, {\"weight\": 4747, \"source\": 4, \"target\": 6}, {\"weight\": 17547, \"source\": 4, \"target\": 5}, {\"weight\": 9752, \"source\": 4, \"target\": 8}, {\"weight\": 16262, \"source\": 4, \"target\": 7}, {\"weight\": 13579, \"source\": 5, \"target\": 6}, {\"weight\": 13794, \"source\": 5, \"target\": 8}, {\"weight\": 2653, \"source\": 5, \"target\": 7}, {\"weight\": 8013, \"source\": 6, \"target\": 8}, {\"weight\": 12090, \"source\": 6, \"target\": 7}, {\"weight\": 11779, \"source\": 7, \"target\": 8}]}",
"id": 1088,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: HPB, SYR, JST, HRB, KDI, HUX, CZX, HRO, YNB\n- Travel distances (in kilometers) between each pair of airports:\nHPB to HRB: 12489\nHPB to CZX: 12544\nHPB to HUX: 7505\nHPB to SYR: 6305\nHPB to YNB: 15221\nHPB to KDI: 16683\nHPB to HRO: 5923\nHPB to JST: 6576\nSYR to HRB: 11814\nSYR to CZX: 11802\nSYR to HUX: 3846\nSYR to YNB: 10078\nSYR to KDI: 16276\nSYR to HRO: 1857\nSYR to JST: 668\nJST to HRB: 12271\nJST to CZX: 12255\nJST to HUX: 3687\nJST to YNB: 10509\nJST to KDI: 16733\nJST to HRO: 1703\nHRB to CZX: 1621\nHRB to HUX: 13385\nHRB to YNB: 8343\nHRB to KDI: 6228\nHRB to HRO: 12035\nKDI to CZX: 4747\nKDI to HUX: 17547\nKDI to YNB: 9752\nKDI to HRO: 16262\nHUX to CZX: 13579\nHUX to YNB: 13794\nHUX to HRO: 2653\nCZX to YNB: 8013\nCZX to HRO: 12090\nHRO to YNB: 11779\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CIZ, LDH, AXK, WNZ, OMH, URY, PEU, VST, BRN\n- Travel distances (in kilometers) between each pair of airports:\nCIZ to WNZ: 17870\nCIZ to PEU: 4301\nCIZ to OMH: 13970\nCIZ to AXK: 13097\nCIZ to VST: 11173\nCIZ to LDH: 17796\nCIZ to URY: 13490\nCIZ to BRN: 9996\nLDH to WNZ: 7815\nLDH to PEU: 16412\nLDH to OMH: 14141\nLDH to AXK: 14163\nLDH to VST: 18582\nLDH to URY: 14716\nLDH to BRN: 17063\nAXK to WNZ: 8308\nAXK to PEU: 14432\nAXK to OMH: 2956\nAXK to VST: 7228\nAXK to URY: 2266\nAXK to BRN: 5366\nWNZ to PEU: 14709\nWNZ to OMH: 7327\nWNZ to VST: 10830\nWNZ to URY: 8457\nWNZ to BRN: 9476\nOMH to PEU: 13891\nOMH to VST: 6455\nOMH to URY: 2963\nOMH to BRN: 4573\nURY to PEU: 14360\nURY to VST: 7156\nURY to BRN: 5294\nPEU to VST: 10271\nPEU to BRN: 9692\nVST to BRN: 2262\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 59806,
"style": "rule"
}
|
{
"exact_answer": 59806,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"CIZ\", \"id\": 0}, {\"name\": \"LDH\", \"id\": 1}, {\"name\": \"AXK\", \"id\": 2}, {\"name\": \"WNZ\", \"id\": 3}, {\"name\": \"OMH\", \"id\": 4}, {\"name\": \"URY\", \"id\": 5}, {\"name\": \"PEU\", \"id\": 6}, {\"name\": \"VST\", \"id\": 7}, {\"name\": \"BRN\", \"id\": 8}], \"links\": [{\"weight\": 17870, \"source\": 0, \"target\": 3}, {\"weight\": 4301, \"source\": 0, \"target\": 6}, {\"weight\": 13970, \"source\": 0, \"target\": 4}, {\"weight\": 13097, \"source\": 0, \"target\": 2}, {\"weight\": 11173, \"source\": 0, \"target\": 7}, {\"weight\": 17796, \"source\": 0, \"target\": 1}, {\"weight\": 13490, \"source\": 0, \"target\": 5}, {\"weight\": 9996, \"source\": 0, \"target\": 8}, {\"weight\": 7815, \"source\": 1, \"target\": 3}, {\"weight\": 16412, \"source\": 1, \"target\": 6}, {\"weight\": 14141, \"source\": 1, \"target\": 4}, {\"weight\": 14163, \"source\": 1, \"target\": 2}, {\"weight\": 18582, \"source\": 1, \"target\": 7}, {\"weight\": 14716, \"source\": 1, \"target\": 5}, {\"weight\": 17063, \"source\": 1, \"target\": 8}, {\"weight\": 8308, \"source\": 2, \"target\": 3}, {\"weight\": 14432, \"source\": 2, \"target\": 6}, {\"weight\": 2956, \"source\": 2, \"target\": 4}, {\"weight\": 7228, \"source\": 2, \"target\": 7}, {\"weight\": 2266, \"source\": 2, \"target\": 5}, {\"weight\": 5366, \"source\": 2, \"target\": 8}, {\"weight\": 14709, \"source\": 3, \"target\": 6}, {\"weight\": 7327, \"source\": 3, \"target\": 4}, {\"weight\": 10830, \"source\": 3, \"target\": 7}, {\"weight\": 8457, \"source\": 3, \"target\": 5}, {\"weight\": 9476, \"source\": 3, \"target\": 8}, {\"weight\": 13891, \"source\": 4, \"target\": 6}, {\"weight\": 6455, \"source\": 4, \"target\": 7}, {\"weight\": 2963, \"source\": 4, \"target\": 5}, {\"weight\": 4573, \"source\": 4, \"target\": 8}, {\"weight\": 14360, \"source\": 5, \"target\": 6}, {\"weight\": 7156, \"source\": 5, \"target\": 7}, {\"weight\": 5294, \"source\": 5, \"target\": 8}, {\"weight\": 10271, \"source\": 6, \"target\": 7}, {\"weight\": 9692, \"source\": 6, \"target\": 8}, {\"weight\": 2262, \"source\": 7, \"target\": 8}]}",
"id": 1089,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CIZ, LDH, AXK, WNZ, OMH, URY, PEU, VST, BRN\n- Travel distances (in kilometers) between each pair of airports:\nCIZ to WNZ: 17870\nCIZ to PEU: 4301\nCIZ to OMH: 13970\nCIZ to AXK: 13097\nCIZ to VST: 11173\nCIZ to LDH: 17796\nCIZ to URY: 13490\nCIZ to BRN: 9996\nLDH to WNZ: 7815\nLDH to PEU: 16412\nLDH to OMH: 14141\nLDH to AXK: 14163\nLDH to VST: 18582\nLDH to URY: 14716\nLDH to BRN: 17063\nAXK to WNZ: 8308\nAXK to PEU: 14432\nAXK to OMH: 2956\nAXK to VST: 7228\nAXK to URY: 2266\nAXK to BRN: 5366\nWNZ to PEU: 14709\nWNZ to OMH: 7327\nWNZ to VST: 10830\nWNZ to URY: 8457\nWNZ to BRN: 9476\nOMH to PEU: 13891\nOMH to VST: 6455\nOMH to URY: 2963\nOMH to BRN: 4573\nURY to PEU: 14360\nURY to VST: 7156\nURY to BRN: 5294\nPEU to VST: 10271\nPEU to BRN: 9692\nVST to BRN: 2262\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CGI, HTN, RFD, BLA, ISP, TRN, GYA, RUR, LLF\n- Travel distances (in kilometers) between each pair of airports:\nCGI to TRN: 7821\nCGI to BLA: 4299\nCGI to GYA: 7629\nCGI to ISP: 1697\nCGI to LLF: 12724\nCGI to HTN: 13398\nCGI to RFD: 3273\nCGI to RUR: 9922\nHTN to TRN: 7124\nHTN to BLA: 14586\nHTN to GYA: 18149\nHTN to ISP: 12163\nHTN to LLF: 4084\nHTN to RFD: 15336\nHTN to RUR: 15578\nRFD to TRN: 9557\nRFD to BLA: 4390\nRFD to GYA: 7720\nRFD to ISP: 3210\nRFD to LLF: 13819\nRFD to RUR: 9900\nBLA to TRN: 8128\nBLA to GYA: 4573\nBLA to ISP: 3823\nBLA to LLF: 16206\nBLA to RUR: 13293\nISP to TRN: 6352\nISP to GYA: 7512\nISP to LLF: 12868\nISP to RUR: 11246\nTRN to GYA: 11057\nTRN to LLF: 9212\nTRN to RUR: 16857\nGYA to LLF: 19779\nGYA to RUR: 11339\nRUR to LLF: 12909\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 55741,
"style": "rule"
}
|
{
"exact_answer": 55741,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"CGI\", \"id\": 0}, {\"name\": \"HTN\", \"id\": 1}, {\"name\": \"RFD\", \"id\": 2}, {\"name\": \"BLA\", \"id\": 3}, {\"name\": \"ISP\", \"id\": 4}, {\"name\": \"TRN\", \"id\": 5}, {\"name\": \"GYA\", \"id\": 6}, {\"name\": \"RUR\", \"id\": 7}, {\"name\": \"LLF\", \"id\": 8}], \"links\": [{\"weight\": 7821, \"source\": 0, \"target\": 5}, {\"weight\": 4299, \"source\": 0, \"target\": 3}, {\"weight\": 7629, \"source\": 0, \"target\": 6}, {\"weight\": 1697, \"source\": 0, \"target\": 4}, {\"weight\": 12724, \"source\": 0, \"target\": 8}, {\"weight\": 13398, \"source\": 0, \"target\": 1}, {\"weight\": 3273, \"source\": 0, \"target\": 2}, {\"weight\": 9922, \"source\": 0, \"target\": 7}, {\"weight\": 7124, \"source\": 1, \"target\": 5}, {\"weight\": 14586, \"source\": 1, \"target\": 3}, {\"weight\": 18149, \"source\": 1, \"target\": 6}, {\"weight\": 12163, \"source\": 1, \"target\": 4}, {\"weight\": 4084, \"source\": 1, \"target\": 8}, {\"weight\": 15336, \"source\": 1, \"target\": 2}, {\"weight\": 15578, \"source\": 1, \"target\": 7}, {\"weight\": 9557, \"source\": 2, \"target\": 5}, {\"weight\": 4390, \"source\": 2, \"target\": 3}, {\"weight\": 7720, \"source\": 2, \"target\": 6}, {\"weight\": 3210, \"source\": 2, \"target\": 4}, {\"weight\": 13819, \"source\": 2, \"target\": 8}, {\"weight\": 9900, \"source\": 2, \"target\": 7}, {\"weight\": 8128, \"source\": 3, \"target\": 5}, {\"weight\": 4573, \"source\": 3, \"target\": 6}, {\"weight\": 3823, \"source\": 3, \"target\": 4}, {\"weight\": 16206, \"source\": 3, \"target\": 8}, {\"weight\": 13293, \"source\": 3, \"target\": 7}, {\"weight\": 6352, \"source\": 4, \"target\": 5}, {\"weight\": 7512, \"source\": 4, \"target\": 6}, {\"weight\": 12868, \"source\": 4, \"target\": 8}, {\"weight\": 11246, \"source\": 4, \"target\": 7}, {\"weight\": 11057, \"source\": 5, \"target\": 6}, {\"weight\": 9212, \"source\": 5, \"target\": 8}, {\"weight\": 16857, \"source\": 5, \"target\": 7}, {\"weight\": 19779, \"source\": 6, \"target\": 8}, {\"weight\": 11339, \"source\": 6, \"target\": 7}, {\"weight\": 12909, \"source\": 7, \"target\": 8}]}",
"id": 1090,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CGI, HTN, RFD, BLA, ISP, TRN, GYA, RUR, LLF\n- Travel distances (in kilometers) between each pair of airports:\nCGI to TRN: 7821\nCGI to BLA: 4299\nCGI to GYA: 7629\nCGI to ISP: 1697\nCGI to LLF: 12724\nCGI to HTN: 13398\nCGI to RFD: 3273\nCGI to RUR: 9922\nHTN to TRN: 7124\nHTN to BLA: 14586\nHTN to GYA: 18149\nHTN to ISP: 12163\nHTN to LLF: 4084\nHTN to RFD: 15336\nHTN to RUR: 15578\nRFD to TRN: 9557\nRFD to BLA: 4390\nRFD to GYA: 7720\nRFD to ISP: 3210\nRFD to LLF: 13819\nRFD to RUR: 9900\nBLA to TRN: 8128\nBLA to GYA: 4573\nBLA to ISP: 3823\nBLA to LLF: 16206\nBLA to RUR: 13293\nISP to TRN: 6352\nISP to GYA: 7512\nISP to LLF: 12868\nISP to RUR: 11246\nTRN to GYA: 11057\nTRN to LLF: 9212\nTRN to RUR: 16857\nGYA to LLF: 19779\nGYA to RUR: 11339\nRUR to LLF: 12909\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: WSX, AES, YYR, ERN, MWF, ULH, YXS, KRK, OOK\n- Travel distances (in kilometers) between each pair of airports:\nWSX to KRK: 8891\nWSX to OOK: 3300\nWSX to YXS: 885\nWSX to YYR: 5285\nWSX to ERN: 9613\nWSX to AES: 7714\nWSX to MWF: 10915\nWSX to ULH: 12501\nAES to KRK: 1623\nAES to OOK: 10698\nAES to YXS: 7516\nAES to YYR: 5845\nAES to ERN: 11171\nAES to MWF: 16847\nAES to ULH: 5212\nYYR to KRK: 5991\nYYR to OOK: 7780\nYYR to YXS: 5063\nYYR to ERN: 7965\nYYR to MWF: 15604\nYYR to ULH: 9409\nERN to KRK: 11487\nERN to OOK: 12352\nERN to YXS: 9757\nERN to MWF: 18778\nERN to ULH: 13858\nMWF to KRK: 16610\nMWF to OOK: 11741\nMWF to YXS: 11326\nMWF to ULH: 15576\nULH to KRK: 3947\nULH to OOK: 15485\nULH to YXS: 12303\nYXS to KRK: 8693\nYXS to OOK: 3869\nKRK to OOK: 11875\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 60639,
"style": "rule"
}
|
{
"exact_answer": 60639,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"WSX\", \"id\": 0}, {\"name\": \"AES\", \"id\": 1}, {\"name\": \"YYR\", \"id\": 2}, {\"name\": \"ERN\", \"id\": 3}, {\"name\": \"MWF\", \"id\": 4}, {\"name\": \"ULH\", \"id\": 5}, {\"name\": \"YXS\", \"id\": 6}, {\"name\": \"KRK\", \"id\": 7}, {\"name\": \"OOK\", \"id\": 8}], \"links\": [{\"weight\": 8891, \"source\": 0, \"target\": 7}, {\"weight\": 3300, \"source\": 0, \"target\": 8}, {\"weight\": 885, \"source\": 0, \"target\": 6}, {\"weight\": 5285, \"source\": 0, \"target\": 2}, {\"weight\": 9613, \"source\": 0, \"target\": 3}, {\"weight\": 7714, \"source\": 0, \"target\": 1}, {\"weight\": 10915, \"source\": 0, \"target\": 4}, {\"weight\": 12501, \"source\": 0, \"target\": 5}, {\"weight\": 1623, \"source\": 1, \"target\": 7}, {\"weight\": 10698, \"source\": 1, \"target\": 8}, {\"weight\": 7516, \"source\": 1, \"target\": 6}, {\"weight\": 5845, \"source\": 1, \"target\": 2}, {\"weight\": 11171, \"source\": 1, \"target\": 3}, {\"weight\": 16847, \"source\": 1, \"target\": 4}, {\"weight\": 5212, \"source\": 1, \"target\": 5}, {\"weight\": 5991, \"source\": 2, \"target\": 7}, {\"weight\": 7780, \"source\": 2, \"target\": 8}, {\"weight\": 5063, \"source\": 2, \"target\": 6}, {\"weight\": 7965, \"source\": 2, \"target\": 3}, {\"weight\": 15604, \"source\": 2, \"target\": 4}, {\"weight\": 9409, \"source\": 2, \"target\": 5}, {\"weight\": 11487, \"source\": 3, \"target\": 7}, {\"weight\": 12352, \"source\": 3, \"target\": 8}, {\"weight\": 9757, \"source\": 3, \"target\": 6}, {\"weight\": 18778, \"source\": 3, \"target\": 4}, {\"weight\": 13858, \"source\": 3, \"target\": 5}, {\"weight\": 16610, \"source\": 4, \"target\": 7}, {\"weight\": 11741, \"source\": 4, \"target\": 8}, {\"weight\": 11326, \"source\": 4, \"target\": 6}, {\"weight\": 15576, \"source\": 4, \"target\": 5}, {\"weight\": 3947, \"source\": 5, \"target\": 7}, {\"weight\": 15485, \"source\": 5, \"target\": 8}, {\"weight\": 12303, \"source\": 5, \"target\": 6}, {\"weight\": 8693, \"source\": 6, \"target\": 7}, {\"weight\": 3869, \"source\": 6, \"target\": 8}, {\"weight\": 11875, \"source\": 7, \"target\": 8}]}",
"id": 1091,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: WSX, AES, YYR, ERN, MWF, ULH, YXS, KRK, OOK\n- Travel distances (in kilometers) between each pair of airports:\nWSX to KRK: 8891\nWSX to OOK: 3300\nWSX to YXS: 885\nWSX to YYR: 5285\nWSX to ERN: 9613\nWSX to AES: 7714\nWSX to MWF: 10915\nWSX to ULH: 12501\nAES to KRK: 1623\nAES to OOK: 10698\nAES to YXS: 7516\nAES to YYR: 5845\nAES to ERN: 11171\nAES to MWF: 16847\nAES to ULH: 5212\nYYR to KRK: 5991\nYYR to OOK: 7780\nYYR to YXS: 5063\nYYR to ERN: 7965\nYYR to MWF: 15604\nYYR to ULH: 9409\nERN to KRK: 11487\nERN to OOK: 12352\nERN to YXS: 9757\nERN to MWF: 18778\nERN to ULH: 13858\nMWF to KRK: 16610\nMWF to OOK: 11741\nMWF to YXS: 11326\nMWF to ULH: 15576\nULH to KRK: 3947\nULH to OOK: 15485\nULH to YXS: 12303\nYXS to KRK: 8693\nYXS to OOK: 3869\nKRK to OOK: 11875\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ACU, MTS, TDX, BPL, TIA, SLH, BVB, CXI, PRI\n- Travel distances (in kilometers) between each pair of airports:\nACU to TIA: 11145\nACU to BVB: 4420\nACU to CXI: 11283\nACU to BPL: 15869\nACU to PRI: 17523\nACU to SLH: 15390\nACU to TDX: 18301\nACU to MTS: 14032\nMTS to TIA: 8208\nMTS to BVB: 11101\nMTS to CXI: 18028\nMTS to BPL: 10666\nMTS to PRI: 4107\nMTS to SLH: 14236\nMTS to TDX: 9535\nTDX to TIA: 8497\nTDX to BVB: 19101\nTDX to CXI: 13013\nTDX to BPL: 4651\nTDX to PRI: 5672\nTDX to SLH: 9492\nBPL to TIA: 5913\nBPL to BVB: 16181\nBPL to CXI: 13153\nBPL to PRI: 7422\nBPL to SLH: 12061\nTIA to BVB: 10904\nTIA to CXI: 15833\nTIA to PRI: 7064\nTIA to SLH: 16971\nSLH to BVB: 18314\nSLH to CXI: 4950\nSLH to PRI: 13455\nBVB to CXI: 14277\nBVB to PRI: 14592\nCXI to PRI: 17540\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 62981,
"style": "rule"
}
|
{
"exact_answer": 62981,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"ACU\", \"id\": 0}, {\"name\": \"MTS\", \"id\": 1}, {\"name\": \"TDX\", \"id\": 2}, {\"name\": \"BPL\", \"id\": 3}, {\"name\": \"TIA\", \"id\": 4}, {\"name\": \"SLH\", \"id\": 5}, {\"name\": \"BVB\", \"id\": 6}, {\"name\": \"CXI\", \"id\": 7}, {\"name\": \"PRI\", \"id\": 8}], \"links\": [{\"weight\": 11145, \"source\": 0, \"target\": 4}, {\"weight\": 4420, \"source\": 0, \"target\": 6}, {\"weight\": 11283, \"source\": 0, \"target\": 7}, {\"weight\": 15869, \"source\": 0, \"target\": 3}, {\"weight\": 17523, \"source\": 0, \"target\": 8}, {\"weight\": 15390, \"source\": 0, \"target\": 5}, {\"weight\": 18301, \"source\": 0, \"target\": 2}, {\"weight\": 14032, \"source\": 0, \"target\": 1}, {\"weight\": 8208, \"source\": 1, \"target\": 4}, {\"weight\": 11101, \"source\": 1, \"target\": 6}, {\"weight\": 18028, \"source\": 1, \"target\": 7}, {\"weight\": 10666, \"source\": 1, \"target\": 3}, {\"weight\": 4107, \"source\": 1, \"target\": 8}, {\"weight\": 14236, \"source\": 1, \"target\": 5}, {\"weight\": 9535, \"source\": 1, \"target\": 2}, {\"weight\": 8497, \"source\": 2, \"target\": 4}, {\"weight\": 19101, \"source\": 2, \"target\": 6}, {\"weight\": 13013, \"source\": 2, \"target\": 7}, {\"weight\": 4651, \"source\": 2, \"target\": 3}, {\"weight\": 5672, \"source\": 2, \"target\": 8}, {\"weight\": 9492, \"source\": 2, \"target\": 5}, {\"weight\": 5913, \"source\": 3, \"target\": 4}, {\"weight\": 16181, \"source\": 3, \"target\": 6}, {\"weight\": 13153, \"source\": 3, \"target\": 7}, {\"weight\": 7422, \"source\": 3, \"target\": 8}, {\"weight\": 12061, \"source\": 3, \"target\": 5}, {\"weight\": 10904, \"source\": 4, \"target\": 6}, {\"weight\": 15833, \"source\": 4, \"target\": 7}, {\"weight\": 7064, \"source\": 4, \"target\": 8}, {\"weight\": 16971, \"source\": 4, \"target\": 5}, {\"weight\": 18314, \"source\": 5, \"target\": 6}, {\"weight\": 4950, \"source\": 5, \"target\": 7}, {\"weight\": 13455, \"source\": 5, \"target\": 8}, {\"weight\": 14277, \"source\": 6, \"target\": 7}, {\"weight\": 14592, \"source\": 6, \"target\": 8}, {\"weight\": 17540, \"source\": 7, \"target\": 8}]}",
"id": 1092,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ACU, MTS, TDX, BPL, TIA, SLH, BVB, CXI, PRI\n- Travel distances (in kilometers) between each pair of airports:\nACU to TIA: 11145\nACU to BVB: 4420\nACU to CXI: 11283\nACU to BPL: 15869\nACU to PRI: 17523\nACU to SLH: 15390\nACU to TDX: 18301\nACU to MTS: 14032\nMTS to TIA: 8208\nMTS to BVB: 11101\nMTS to CXI: 18028\nMTS to BPL: 10666\nMTS to PRI: 4107\nMTS to SLH: 14236\nMTS to TDX: 9535\nTDX to TIA: 8497\nTDX to BVB: 19101\nTDX to CXI: 13013\nTDX to BPL: 4651\nTDX to PRI: 5672\nTDX to SLH: 9492\nBPL to TIA: 5913\nBPL to BVB: 16181\nBPL to CXI: 13153\nBPL to PRI: 7422\nBPL to SLH: 12061\nTIA to BVB: 10904\nTIA to CXI: 15833\nTIA to PRI: 7064\nTIA to SLH: 16971\nSLH to BVB: 18314\nSLH to CXI: 4950\nSLH to PRI: 13455\nBVB to CXI: 14277\nBVB to PRI: 14592\nCXI to PRI: 17540\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: HPB, KUK, CAP, BLL, BIM, LEJ, SKN, KAN, IST\n- Travel distances (in kilometers) between each pair of airports:\nHPB to BIM: 7418\nHPB to LEJ: 11547\nHPB to KUK: 283\nHPB to IST: 13129\nHPB to BLL: 10987\nHPB to CAP: 8358\nHPB to KAN: 15656\nHPB to SKN: 11252\nKUK to BIM: 7211\nKUK to LEJ: 11340\nKUK to IST: 12922\nKUK to BLL: 10780\nKUK to CAP: 8151\nKUK to KAN: 15449\nKUK to SKN: 11045\nCAP to BIM: 1258\nCAP to LEJ: 8302\nCAP to IST: 9686\nCAP to BLL: 8107\nCAP to KAN: 11390\nCAP to SKN: 8624\nBLL to IST: 2142\nBLL to BIM: 7933\nBLL to LEJ: 896\nBLL to KAN: 5563\nBLL to SKN: 1458\nBIM to LEJ: 8161\nBIM to IST: 9805\nBIM to KAN: 11098\nBIM to SKN: 8198\nLEJ to IST: 1682\nLEJ to KAN: 5228\nLEJ to SKN: 2143\nSKN to IST: 3340\nSKN to KAN: 7018\nKAN to IST: 3774\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 39204,
"style": "rule"
}
|
{
"exact_answer": 39204,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"HPB\", \"id\": 0}, {\"name\": \"KUK\", \"id\": 1}, {\"name\": \"CAP\", \"id\": 2}, {\"name\": \"BLL\", \"id\": 3}, {\"name\": \"BIM\", \"id\": 4}, {\"name\": \"LEJ\", \"id\": 5}, {\"name\": \"SKN\", \"id\": 6}, {\"name\": \"KAN\", \"id\": 7}, {\"name\": \"IST\", \"id\": 8}], \"links\": [{\"weight\": 7418, \"source\": 0, \"target\": 4}, {\"weight\": 11547, \"source\": 0, \"target\": 5}, {\"weight\": 283, \"source\": 0, \"target\": 1}, {\"weight\": 13129, \"source\": 0, \"target\": 8}, {\"weight\": 10987, \"source\": 0, \"target\": 3}, {\"weight\": 8358, \"source\": 0, \"target\": 2}, {\"weight\": 15656, \"source\": 0, \"target\": 7}, {\"weight\": 11252, \"source\": 0, \"target\": 6}, {\"weight\": 7211, \"source\": 1, \"target\": 4}, {\"weight\": 11340, \"source\": 1, \"target\": 5}, {\"weight\": 12922, \"source\": 1, \"target\": 8}, {\"weight\": 10780, \"source\": 1, \"target\": 3}, {\"weight\": 8151, \"source\": 1, \"target\": 2}, {\"weight\": 15449, \"source\": 1, \"target\": 7}, {\"weight\": 11045, \"source\": 1, \"target\": 6}, {\"weight\": 1258, \"source\": 2, \"target\": 4}, {\"weight\": 8302, \"source\": 2, \"target\": 5}, {\"weight\": 9686, \"source\": 2, \"target\": 8}, {\"weight\": 8107, \"source\": 2, \"target\": 3}, {\"weight\": 11390, \"source\": 2, \"target\": 7}, {\"weight\": 8624, \"source\": 2, \"target\": 6}, {\"weight\": 2142, \"source\": 3, \"target\": 8}, {\"weight\": 7933, \"source\": 3, \"target\": 4}, {\"weight\": 896, \"source\": 3, \"target\": 5}, {\"weight\": 5563, \"source\": 3, \"target\": 7}, {\"weight\": 1458, \"source\": 3, \"target\": 6}, {\"weight\": 8161, \"source\": 4, \"target\": 5}, {\"weight\": 9805, \"source\": 4, \"target\": 8}, {\"weight\": 11098, \"source\": 4, \"target\": 7}, {\"weight\": 8198, \"source\": 4, \"target\": 6}, {\"weight\": 1682, \"source\": 5, \"target\": 8}, {\"weight\": 5228, \"source\": 5, \"target\": 7}, {\"weight\": 2143, \"source\": 5, \"target\": 6}, {\"weight\": 3340, \"source\": 6, \"target\": 8}, {\"weight\": 7018, \"source\": 6, \"target\": 7}, {\"weight\": 3774, \"source\": 7, \"target\": 8}]}",
"id": 1093,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: HPB, KUK, CAP, BLL, BIM, LEJ, SKN, KAN, IST\n- Travel distances (in kilometers) between each pair of airports:\nHPB to BIM: 7418\nHPB to LEJ: 11547\nHPB to KUK: 283\nHPB to IST: 13129\nHPB to BLL: 10987\nHPB to CAP: 8358\nHPB to KAN: 15656\nHPB to SKN: 11252\nKUK to BIM: 7211\nKUK to LEJ: 11340\nKUK to IST: 12922\nKUK to BLL: 10780\nKUK to CAP: 8151\nKUK to KAN: 15449\nKUK to SKN: 11045\nCAP to BIM: 1258\nCAP to LEJ: 8302\nCAP to IST: 9686\nCAP to BLL: 8107\nCAP to KAN: 11390\nCAP to SKN: 8624\nBLL to IST: 2142\nBLL to BIM: 7933\nBLL to LEJ: 896\nBLL to KAN: 5563\nBLL to SKN: 1458\nBIM to LEJ: 8161\nBIM to IST: 9805\nBIM to KAN: 11098\nBIM to SKN: 8198\nLEJ to IST: 1682\nLEJ to KAN: 5228\nLEJ to SKN: 2143\nSKN to IST: 3340\nSKN to KAN: 7018\nKAN to IST: 3774\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PPK, PJM, MLM, LIR, JIC, ACE, OIT, SDL, THN\n- Travel distances (in kilometers) between each pair of airports:\nPPK to PJM: 15638\nPPK to LIR: 15422\nPPK to MLM: 15235\nPPK to ACE: 9327\nPPK to SDL: 6010\nPPK to THN: 6045\nPPK to OIT: 6214\nPPK to JIC: 4145\nPJM to LIR: 350\nPJM to MLM: 2309\nPJM to ACE: 7987\nPJM to SDL: 10310\nPJM to THN: 10615\nPJM to OIT: 14147\nPJM to JIC: 15748\nMLM to LIR: 1963\nMLM to ACE: 9411\nMLM to SDL: 9928\nMLM to THN: 10212\nMLM to OIT: 11904\nMLM to JIC: 13848\nLIR to ACE: 7953\nLIR to SDL: 10142\nLIR to THN: 10399\nLIR to OIT: 13801\nLIR to JIC: 15437\nJIC to ACE: 10626\nJIC to SDL: 7180\nJIC to THN: 7261\nJIC to OIT: 2967\nACE to SDL: 4379\nACE to THN: 4477\nACE to OIT: 12190\nOIT to SDL: 8402\nOIT to THN: 8431\nSDL to THN: 695\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 40435,
"style": "rule"
}
|
{
"exact_answer": 40435,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"PPK\", \"id\": 0}, {\"name\": \"PJM\", \"id\": 1}, {\"name\": \"MLM\", \"id\": 2}, {\"name\": \"LIR\", \"id\": 3}, {\"name\": \"JIC\", \"id\": 4}, {\"name\": \"ACE\", \"id\": 5}, {\"name\": \"OIT\", \"id\": 6}, {\"name\": \"SDL\", \"id\": 7}, {\"name\": \"THN\", \"id\": 8}], \"links\": [{\"weight\": 15638, \"source\": 0, \"target\": 1}, {\"weight\": 15422, \"source\": 0, \"target\": 3}, {\"weight\": 15235, \"source\": 0, \"target\": 2}, {\"weight\": 9327, \"source\": 0, \"target\": 5}, {\"weight\": 6010, \"source\": 0, \"target\": 7}, {\"weight\": 6045, \"source\": 0, \"target\": 8}, {\"weight\": 6214, \"source\": 0, \"target\": 6}, {\"weight\": 4145, \"source\": 0, \"target\": 4}, {\"weight\": 350, \"source\": 1, \"target\": 3}, {\"weight\": 2309, \"source\": 1, \"target\": 2}, {\"weight\": 7987, \"source\": 1, \"target\": 5}, {\"weight\": 10310, \"source\": 1, \"target\": 7}, {\"weight\": 10615, \"source\": 1, \"target\": 8}, {\"weight\": 14147, \"source\": 1, \"target\": 6}, {\"weight\": 15748, \"source\": 1, \"target\": 4}, {\"weight\": 1963, \"source\": 2, \"target\": 3}, {\"weight\": 9411, \"source\": 2, \"target\": 5}, {\"weight\": 9928, \"source\": 2, \"target\": 7}, {\"weight\": 10212, \"source\": 2, \"target\": 8}, {\"weight\": 11904, \"source\": 2, \"target\": 6}, {\"weight\": 13848, \"source\": 2, \"target\": 4}, {\"weight\": 7953, \"source\": 3, \"target\": 5}, {\"weight\": 10142, \"source\": 3, \"target\": 7}, {\"weight\": 10399, \"source\": 3, \"target\": 8}, {\"weight\": 13801, \"source\": 3, \"target\": 6}, {\"weight\": 15437, \"source\": 3, \"target\": 4}, {\"weight\": 10626, \"source\": 4, \"target\": 5}, {\"weight\": 7180, \"source\": 4, \"target\": 7}, {\"weight\": 7261, \"source\": 4, \"target\": 8}, {\"weight\": 2967, \"source\": 4, \"target\": 6}, {\"weight\": 4379, \"source\": 5, \"target\": 7}, {\"weight\": 4477, \"source\": 5, \"target\": 8}, {\"weight\": 12190, \"source\": 5, \"target\": 6}, {\"weight\": 8402, \"source\": 6, \"target\": 7}, {\"weight\": 8431, \"source\": 6, \"target\": 8}, {\"weight\": 695, \"source\": 7, \"target\": 8}]}",
"id": 1094,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PPK, PJM, MLM, LIR, JIC, ACE, OIT, SDL, THN\n- Travel distances (in kilometers) between each pair of airports:\nPPK to PJM: 15638\nPPK to LIR: 15422\nPPK to MLM: 15235\nPPK to ACE: 9327\nPPK to SDL: 6010\nPPK to THN: 6045\nPPK to OIT: 6214\nPPK to JIC: 4145\nPJM to LIR: 350\nPJM to MLM: 2309\nPJM to ACE: 7987\nPJM to SDL: 10310\nPJM to THN: 10615\nPJM to OIT: 14147\nPJM to JIC: 15748\nMLM to LIR: 1963\nMLM to ACE: 9411\nMLM to SDL: 9928\nMLM to THN: 10212\nMLM to OIT: 11904\nMLM to JIC: 13848\nLIR to ACE: 7953\nLIR to SDL: 10142\nLIR to THN: 10399\nLIR to OIT: 13801\nLIR to JIC: 15437\nJIC to ACE: 10626\nJIC to SDL: 7180\nJIC to THN: 7261\nJIC to OIT: 2967\nACE to SDL: 4379\nACE to THN: 4477\nACE to OIT: 12190\nOIT to SDL: 8402\nOIT to THN: 8431\nSDL to THN: 695\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: DAT, SZG, BGW, CUL, CSK, GAO, PKE, DHI, ZQW\n- Travel distances (in kilometers) between each pair of airports:\nDAT to SZG: 7984\nDAT to CUL: 11779\nDAT to GAO: 13955\nDAT to CSK: 12791\nDAT to BGW: 6847\nDAT to ZQW: 8262\nDAT to DHI: 3546\nDAT to PKE: 9393\nSZG to CUL: 10219\nSZG to GAO: 9345\nSZG to CSK: 4966\nSZG to BGW: 3080\nSZG to ZQW: 863\nSZG to DHI: 7109\nSZG to PKE: 16518\nBGW to CUL: 13231\nBGW to GAO: 12407\nBGW to CSK: 7090\nBGW to ZQW: 3540\nBGW to DHI: 4850\nBGW to PKE: 13719\nCUL to GAO: 3522\nCUL to CSK: 9997\nCUL to ZQW: 10061\nCUL to DHI: 15191\nCUL to PKE: 13824\nCSK to GAO: 9528\nCSK to ZQW: 4775\nCSK to DHI: 11361\nCSK to PKE: 18298\nGAO to ZQW: 9139\nGAO to DHI: 16052\nGAO to PKE: 17076\nPKE to ZQW: 16949\nPKE to DHI: 10511\nDHI to ZQW: 7540\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 53381,
"style": "rule"
}
|
{
"exact_answer": 53381,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"DAT\", \"id\": 0}, {\"name\": \"SZG\", \"id\": 1}, {\"name\": \"BGW\", \"id\": 2}, {\"name\": \"CUL\", \"id\": 3}, {\"name\": \"CSK\", \"id\": 4}, {\"name\": \"GAO\", \"id\": 5}, {\"name\": \"PKE\", \"id\": 6}, {\"name\": \"DHI\", \"id\": 7}, {\"name\": \"ZQW\", \"id\": 8}], \"links\": [{\"weight\": 7984, \"source\": 0, \"target\": 1}, {\"weight\": 11779, \"source\": 0, \"target\": 3}, {\"weight\": 13955, \"source\": 0, \"target\": 5}, {\"weight\": 12791, \"source\": 0, \"target\": 4}, {\"weight\": 6847, \"source\": 0, \"target\": 2}, {\"weight\": 8262, \"source\": 0, \"target\": 8}, {\"weight\": 3546, \"source\": 0, \"target\": 7}, {\"weight\": 9393, \"source\": 0, \"target\": 6}, {\"weight\": 10219, \"source\": 1, \"target\": 3}, {\"weight\": 9345, \"source\": 1, \"target\": 5}, {\"weight\": 4966, \"source\": 1, \"target\": 4}, {\"weight\": 3080, \"source\": 1, \"target\": 2}, {\"weight\": 863, \"source\": 1, \"target\": 8}, {\"weight\": 7109, \"source\": 1, \"target\": 7}, {\"weight\": 16518, \"source\": 1, \"target\": 6}, {\"weight\": 13231, \"source\": 2, \"target\": 3}, {\"weight\": 12407, \"source\": 2, \"target\": 5}, {\"weight\": 7090, \"source\": 2, \"target\": 4}, {\"weight\": 3540, \"source\": 2, \"target\": 8}, {\"weight\": 4850, \"source\": 2, \"target\": 7}, {\"weight\": 13719, \"source\": 2, \"target\": 6}, {\"weight\": 3522, \"source\": 3, \"target\": 5}, {\"weight\": 9997, \"source\": 3, \"target\": 4}, {\"weight\": 10061, \"source\": 3, \"target\": 8}, {\"weight\": 15191, \"source\": 3, \"target\": 7}, {\"weight\": 13824, \"source\": 3, \"target\": 6}, {\"weight\": 9528, \"source\": 4, \"target\": 5}, {\"weight\": 4775, \"source\": 4, \"target\": 8}, {\"weight\": 11361, \"source\": 4, \"target\": 7}, {\"weight\": 18298, \"source\": 4, \"target\": 6}, {\"weight\": 9139, \"source\": 5, \"target\": 8}, {\"weight\": 16052, \"source\": 5, \"target\": 7}, {\"weight\": 17076, \"source\": 5, \"target\": 6}, {\"weight\": 16949, \"source\": 6, \"target\": 8}, {\"weight\": 10511, \"source\": 6, \"target\": 7}, {\"weight\": 7540, \"source\": 7, \"target\": 8}]}",
"id": 1095,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: DAT, SZG, BGW, CUL, CSK, GAO, PKE, DHI, ZQW\n- Travel distances (in kilometers) between each pair of airports:\nDAT to SZG: 7984\nDAT to CUL: 11779\nDAT to GAO: 13955\nDAT to CSK: 12791\nDAT to BGW: 6847\nDAT to ZQW: 8262\nDAT to DHI: 3546\nDAT to PKE: 9393\nSZG to CUL: 10219\nSZG to GAO: 9345\nSZG to CSK: 4966\nSZG to BGW: 3080\nSZG to ZQW: 863\nSZG to DHI: 7109\nSZG to PKE: 16518\nBGW to CUL: 13231\nBGW to GAO: 12407\nBGW to CSK: 7090\nBGW to ZQW: 3540\nBGW to DHI: 4850\nBGW to PKE: 13719\nCUL to GAO: 3522\nCUL to CSK: 9997\nCUL to ZQW: 10061\nCUL to DHI: 15191\nCUL to PKE: 13824\nCSK to GAO: 9528\nCSK to ZQW: 4775\nCSK to DHI: 11361\nCSK to PKE: 18298\nGAO to ZQW: 9139\nGAO to DHI: 16052\nGAO to PKE: 17076\nPKE to ZQW: 16949\nPKE to DHI: 10511\nDHI to ZQW: 7540\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: XMS, RAR, LLW, DMU, SHE, CED, LDB, KSJ, HRO\n- Travel distances (in kilometers) between each pair of airports:\nXMS to SHE: 15209\nXMS to KSJ: 11789\nXMS to LDB: 5037\nXMS to LLW: 13489\nXMS to DMU: 18126\nXMS to RAR: 13168\nXMS to HRO: 4771\nXMS to CED: 17075\nRAR to SHE: 12186\nRAR to KSJ: 19083\nRAR to LDB: 11878\nRAR to LLW: 17499\nRAR to DMU: 14768\nRAR to HRO: 10088\nRAR to CED: 6695\nLLW to SHE: 11257\nLLW to KSJ: 6500\nLLW to LDB: 9404\nLLW to DMU: 8272\nLLW to HRO: 14668\nLLW to CED: 12094\nDMU to SHE: 4782\nDMU to KSJ: 7379\nDMU to LDB: 16605\nDMU to HRO: 14991\nDMU to CED: 9497\nSHE to KSJ: 8639\nSHE to LDB: 18230\nSHE to HRO: 10961\nSHE to CED: 9378\nCED to KSJ: 15098\nCED to LDB: 15785\nCED to HRO: 16251\nLDB to KSJ: 11351\nLDB to HRO: 8482\nKSJ to HRO: 10163\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 64034,
"style": "rule"
}
|
{
"exact_answer": 64034,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"XMS\", \"id\": 0}, {\"name\": \"RAR\", \"id\": 1}, {\"name\": \"LLW\", \"id\": 2}, {\"name\": \"DMU\", \"id\": 3}, {\"name\": \"SHE\", \"id\": 4}, {\"name\": \"CED\", \"id\": 5}, {\"name\": \"LDB\", \"id\": 6}, {\"name\": \"KSJ\", \"id\": 7}, {\"name\": \"HRO\", \"id\": 8}], \"links\": [{\"weight\": 15209, \"source\": 0, \"target\": 4}, {\"weight\": 11789, \"source\": 0, \"target\": 7}, {\"weight\": 5037, \"source\": 0, \"target\": 6}, {\"weight\": 13489, \"source\": 0, \"target\": 2}, {\"weight\": 18126, \"source\": 0, \"target\": 3}, {\"weight\": 13168, \"source\": 0, \"target\": 1}, {\"weight\": 4771, \"source\": 0, \"target\": 8}, {\"weight\": 17075, \"source\": 0, \"target\": 5}, {\"weight\": 12186, \"source\": 1, \"target\": 4}, {\"weight\": 19083, \"source\": 1, \"target\": 7}, {\"weight\": 11878, \"source\": 1, \"target\": 6}, {\"weight\": 17499, \"source\": 1, \"target\": 2}, {\"weight\": 14768, \"source\": 1, \"target\": 3}, {\"weight\": 10088, \"source\": 1, \"target\": 8}, {\"weight\": 6695, \"source\": 1, \"target\": 5}, {\"weight\": 11257, \"source\": 2, \"target\": 4}, {\"weight\": 6500, \"source\": 2, \"target\": 7}, {\"weight\": 9404, \"source\": 2, \"target\": 6}, {\"weight\": 8272, \"source\": 2, \"target\": 3}, {\"weight\": 14668, \"source\": 2, \"target\": 8}, {\"weight\": 12094, \"source\": 2, \"target\": 5}, {\"weight\": 4782, \"source\": 3, \"target\": 4}, {\"weight\": 7379, \"source\": 3, \"target\": 7}, {\"weight\": 16605, \"source\": 3, \"target\": 6}, {\"weight\": 14991, \"source\": 3, \"target\": 8}, {\"weight\": 9497, \"source\": 3, \"target\": 5}, {\"weight\": 8639, \"source\": 4, \"target\": 7}, {\"weight\": 18230, \"source\": 4, \"target\": 6}, {\"weight\": 10961, \"source\": 4, \"target\": 8}, {\"weight\": 9378, \"source\": 4, \"target\": 5}, {\"weight\": 15098, \"source\": 5, \"target\": 7}, {\"weight\": 15785, \"source\": 5, \"target\": 6}, {\"weight\": 16251, \"source\": 5, \"target\": 8}, {\"weight\": 11351, \"source\": 6, \"target\": 7}, {\"weight\": 8482, \"source\": 6, \"target\": 8}, {\"weight\": 10163, \"source\": 7, \"target\": 8}]}",
"id": 1096,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: XMS, RAR, LLW, DMU, SHE, CED, LDB, KSJ, HRO\n- Travel distances (in kilometers) between each pair of airports:\nXMS to SHE: 15209\nXMS to KSJ: 11789\nXMS to LDB: 5037\nXMS to LLW: 13489\nXMS to DMU: 18126\nXMS to RAR: 13168\nXMS to HRO: 4771\nXMS to CED: 17075\nRAR to SHE: 12186\nRAR to KSJ: 19083\nRAR to LDB: 11878\nRAR to LLW: 17499\nRAR to DMU: 14768\nRAR to HRO: 10088\nRAR to CED: 6695\nLLW to SHE: 11257\nLLW to KSJ: 6500\nLLW to LDB: 9404\nLLW to DMU: 8272\nLLW to HRO: 14668\nLLW to CED: 12094\nDMU to SHE: 4782\nDMU to KSJ: 7379\nDMU to LDB: 16605\nDMU to HRO: 14991\nDMU to CED: 9497\nSHE to KSJ: 8639\nSHE to LDB: 18230\nSHE to HRO: 10961\nSHE to CED: 9378\nCED to KSJ: 15098\nCED to LDB: 15785\nCED to HRO: 16251\nLDB to KSJ: 11351\nLDB to HRO: 8482\nKSJ to HRO: 10163\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, PAG, OGD, RNO, CSY, BIM, NDB, YQR, AWD\n- Travel distances (in kilometers) between each pair of airports:\nLPP to BIM: 9472\nLPP to PAG: 12895\nLPP to CSY: 4468\nLPP to RNO: 10592\nLPP to YQR: 9484\nLPP to OGD: 11641\nLPP to NDB: 5682\nLPP to AWD: 18968\nPAG to BIM: 15594\nPAG to CSY: 9637\nPAG to RNO: 12016\nPAG to YQR: 12165\nPAG to OGD: 13771\nPAG to NDB: 14947\nPAG to AWD: 6613\nOGD to BIM: 4525\nOGD to CSY: 11799\nOGD to RNO: 1876\nOGD to YQR: 3124\nOGD to NDB: 10706\nOGD to AWD: 11821\nRNO to BIM: 4056\nRNO to CSY: 10546\nRNO to YQR: 2257\nRNO to NDB: 10194\nRNO to AWD: 10499\nCSY to BIM: 9794\nCSY to YQR: 9438\nCSY to NDB: 6587\nCSY to AWD: 15718\nBIM to YQR: 3546\nBIM to NDB: 8262\nBIM to AWD: 13979\nNDB to YQR: 8865\nNDB to AWD: 20451\nYQR to AWD: 12020\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 53707,
"style": "rule"
}
|
{
"exact_answer": 53707,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"LPP\", \"id\": 0}, {\"name\": \"PAG\", \"id\": 1}, {\"name\": \"OGD\", \"id\": 2}, {\"name\": \"RNO\", \"id\": 3}, {\"name\": \"CSY\", \"id\": 4}, {\"name\": \"BIM\", \"id\": 5}, {\"name\": \"NDB\", \"id\": 6}, {\"name\": \"YQR\", \"id\": 7}, {\"name\": \"AWD\", \"id\": 8}], \"links\": [{\"weight\": 9472, \"source\": 0, \"target\": 5}, {\"weight\": 12895, \"source\": 0, \"target\": 1}, {\"weight\": 4468, \"source\": 0, \"target\": 4}, {\"weight\": 10592, \"source\": 0, \"target\": 3}, {\"weight\": 9484, \"source\": 0, \"target\": 7}, {\"weight\": 11641, \"source\": 0, \"target\": 2}, {\"weight\": 5682, \"source\": 0, \"target\": 6}, {\"weight\": 18968, \"source\": 0, \"target\": 8}, {\"weight\": 15594, \"source\": 1, \"target\": 5}, {\"weight\": 9637, \"source\": 1, \"target\": 4}, {\"weight\": 12016, \"source\": 1, \"target\": 3}, {\"weight\": 12165, \"source\": 1, \"target\": 7}, {\"weight\": 13771, \"source\": 1, \"target\": 2}, {\"weight\": 14947, \"source\": 1, \"target\": 6}, {\"weight\": 6613, \"source\": 1, \"target\": 8}, {\"weight\": 4525, \"source\": 2, \"target\": 5}, {\"weight\": 11799, \"source\": 2, \"target\": 4}, {\"weight\": 1876, \"source\": 2, \"target\": 3}, {\"weight\": 3124, \"source\": 2, \"target\": 7}, {\"weight\": 10706, \"source\": 2, \"target\": 6}, {\"weight\": 11821, \"source\": 2, \"target\": 8}, {\"weight\": 4056, \"source\": 3, \"target\": 5}, {\"weight\": 10546, \"source\": 3, \"target\": 4}, {\"weight\": 2257, \"source\": 3, \"target\": 7}, {\"weight\": 10194, \"source\": 3, \"target\": 6}, {\"weight\": 10499, \"source\": 3, \"target\": 8}, {\"weight\": 9794, \"source\": 4, \"target\": 5}, {\"weight\": 9438, \"source\": 4, \"target\": 7}, {\"weight\": 6587, \"source\": 4, \"target\": 6}, {\"weight\": 15718, \"source\": 4, \"target\": 8}, {\"weight\": 3546, \"source\": 5, \"target\": 7}, {\"weight\": 8262, \"source\": 5, \"target\": 6}, {\"weight\": 13979, \"source\": 5, \"target\": 8}, {\"weight\": 8865, \"source\": 6, \"target\": 7}, {\"weight\": 20451, \"source\": 6, \"target\": 8}, {\"weight\": 12020, \"source\": 7, \"target\": 8}]}",
"id": 1097,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, PAG, OGD, RNO, CSY, BIM, NDB, YQR, AWD\n- Travel distances (in kilometers) between each pair of airports:\nLPP to BIM: 9472\nLPP to PAG: 12895\nLPP to CSY: 4468\nLPP to RNO: 10592\nLPP to YQR: 9484\nLPP to OGD: 11641\nLPP to NDB: 5682\nLPP to AWD: 18968\nPAG to BIM: 15594\nPAG to CSY: 9637\nPAG to RNO: 12016\nPAG to YQR: 12165\nPAG to OGD: 13771\nPAG to NDB: 14947\nPAG to AWD: 6613\nOGD to BIM: 4525\nOGD to CSY: 11799\nOGD to RNO: 1876\nOGD to YQR: 3124\nOGD to NDB: 10706\nOGD to AWD: 11821\nRNO to BIM: 4056\nRNO to CSY: 10546\nRNO to YQR: 2257\nRNO to NDB: 10194\nRNO to AWD: 10499\nCSY to BIM: 9794\nCSY to YQR: 9438\nCSY to NDB: 6587\nCSY to AWD: 15718\nBIM to YQR: 3546\nBIM to NDB: 8262\nBIM to AWD: 13979\nNDB to YQR: 8865\nNDB to AWD: 20451\nYQR to AWD: 12020\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: AEX, GTF, AJF, JNZ, AUH, MVP, WNA, KWI, TUR\n- Travel distances (in kilometers) between each pair of airports:\nAEX to WNA: 6003\nAEX to MVP: 4469\nAEX to AUH: 13047\nAEX to KWI: 12220\nAEX to TUR: 6528\nAEX to GTF: 2492\nAEX to JNZ: 12474\nAEX to AJF: 13155\nGTF to WNA: 3797\nGTF to MVP: 6546\nGTF to AUH: 13188\nGTF to KWI: 12462\nGTF to TUR: 8512\nGTF to JNZ: 10223\nGTF to AJF: 13510\nAJF to WNA: 16189\nAJF to MVP: 13868\nAJF to AUH: 1648\nAJF to KWI: 1334\nAJF to TUR: 11983\nAJF to JNZ: 8542\nJNZ to WNA: 12378\nJNZ to MVP: 16528\nJNZ to AUH: 7033\nJNZ to KWI: 7296\nJNZ to TUR: 17507\nAUH to KWI: 850\nAUH to WNA: 15343\nAUH to MVP: 14236\nAUH to TUR: 12690\nMVP to WNA: 10057\nMVP to KWI: 13406\nMVP to TUR: 4388\nWNA to KWI: 15095\nWNA to TUR: 11772\nKWI to TUR: 11941\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 48724,
"style": "rule"
}
|
{
"exact_answer": 48724,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"AEX\", \"id\": 0}, {\"name\": \"GTF\", \"id\": 1}, {\"name\": \"AJF\", \"id\": 2}, {\"name\": \"JNZ\", \"id\": 3}, {\"name\": \"AUH\", \"id\": 4}, {\"name\": \"MVP\", \"id\": 5}, {\"name\": \"WNA\", \"id\": 6}, {\"name\": \"KWI\", \"id\": 7}, {\"name\": \"TUR\", \"id\": 8}], \"links\": [{\"weight\": 6003, \"source\": 0, \"target\": 6}, {\"weight\": 4469, \"source\": 0, \"target\": 5}, {\"weight\": 13047, \"source\": 0, \"target\": 4}, {\"weight\": 12220, \"source\": 0, \"target\": 7}, {\"weight\": 6528, \"source\": 0, \"target\": 8}, {\"weight\": 2492, \"source\": 0, \"target\": 1}, {\"weight\": 12474, \"source\": 0, \"target\": 3}, {\"weight\": 13155, \"source\": 0, \"target\": 2}, {\"weight\": 3797, \"source\": 1, \"target\": 6}, {\"weight\": 6546, \"source\": 1, \"target\": 5}, {\"weight\": 13188, \"source\": 1, \"target\": 4}, {\"weight\": 12462, \"source\": 1, \"target\": 7}, {\"weight\": 8512, \"source\": 1, \"target\": 8}, {\"weight\": 10223, \"source\": 1, \"target\": 3}, {\"weight\": 13510, \"source\": 1, \"target\": 2}, {\"weight\": 16189, \"source\": 2, \"target\": 6}, {\"weight\": 13868, \"source\": 2, \"target\": 5}, {\"weight\": 1648, \"source\": 2, \"target\": 4}, {\"weight\": 1334, \"source\": 2, \"target\": 7}, {\"weight\": 11983, \"source\": 2, \"target\": 8}, {\"weight\": 8542, \"source\": 2, \"target\": 3}, {\"weight\": 12378, \"source\": 3, \"target\": 6}, {\"weight\": 16528, \"source\": 3, \"target\": 5}, {\"weight\": 7033, \"source\": 3, \"target\": 4}, {\"weight\": 7296, \"source\": 3, \"target\": 7}, {\"weight\": 17507, \"source\": 3, \"target\": 8}, {\"weight\": 850, \"source\": 4, \"target\": 7}, {\"weight\": 15343, \"source\": 4, \"target\": 6}, {\"weight\": 14236, \"source\": 4, \"target\": 5}, {\"weight\": 12690, \"source\": 4, \"target\": 8}, {\"weight\": 10057, \"source\": 5, \"target\": 6}, {\"weight\": 13406, \"source\": 5, \"target\": 7}, {\"weight\": 4388, \"source\": 5, \"target\": 8}, {\"weight\": 15095, \"source\": 6, \"target\": 7}, {\"weight\": 11772, \"source\": 6, \"target\": 8}, {\"weight\": 11941, \"source\": 7, \"target\": 8}]}",
"id": 1098,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: AEX, GTF, AJF, JNZ, AUH, MVP, WNA, KWI, TUR\n- Travel distances (in kilometers) between each pair of airports:\nAEX to WNA: 6003\nAEX to MVP: 4469\nAEX to AUH: 13047\nAEX to KWI: 12220\nAEX to TUR: 6528\nAEX to GTF: 2492\nAEX to JNZ: 12474\nAEX to AJF: 13155\nGTF to WNA: 3797\nGTF to MVP: 6546\nGTF to AUH: 13188\nGTF to KWI: 12462\nGTF to TUR: 8512\nGTF to JNZ: 10223\nGTF to AJF: 13510\nAJF to WNA: 16189\nAJF to MVP: 13868\nAJF to AUH: 1648\nAJF to KWI: 1334\nAJF to TUR: 11983\nAJF to JNZ: 8542\nJNZ to WNA: 12378\nJNZ to MVP: 16528\nJNZ to AUH: 7033\nJNZ to KWI: 7296\nJNZ to TUR: 17507\nAUH to KWI: 850\nAUH to WNA: 15343\nAUH to MVP: 14236\nAUH to TUR: 12690\nMVP to WNA: 10057\nMVP to KWI: 13406\nMVP to TUR: 4388\nWNA to KWI: 15095\nWNA to TUR: 11772\nKWI to TUR: 11941\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PZU, SXP, TUO, VXE, ARU, VTZ, MIG, QFX, STW\n- Travel distances (in kilometers) between each pair of airports:\nPZU to MIG: 6878\nPZU to VTZ: 4941\nPZU to SXP: 15567\nPZU to ARU: 10839\nPZU to QFX: 8570\nPZU to TUO: 16192\nPZU to STW: 3787\nPZU to VXE: 7062\nSXP to MIG: 13241\nSXP to VTZ: 16168\nSXP to ARU: 14153\nSXP to QFX: 10879\nSXP to TUO: 12587\nSXP to STW: 13502\nSXP to VXE: 12366\nTUO to MIG: 10751\nTUO to VTZ: 11539\nTUO to ARU: 12967\nTUO to QFX: 19254\nTUO to STW: 17658\nTUO to VXE: 17763\nVXE to MIG: 12609\nVXE to VTZ: 11558\nVXE to ARU: 5655\nVXE to QFX: 8114\nVXE to STW: 7291\nARU to MIG: 17585\nARU to VTZ: 15383\nARU to QFX: 13550\nARU to STW: 12474\nVTZ to MIG: 2989\nVTZ to QFX: 10965\nVTZ to STW: 6848\nMIG to QFX: 11085\nMIG to STW: 7079\nQFX to STW: 6505\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 69482,
"style": "rule"
}
|
{
"exact_answer": 69482,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"PZU\", \"id\": 0}, {\"name\": \"SXP\", \"id\": 1}, {\"name\": \"TUO\", \"id\": 2}, {\"name\": \"VXE\", \"id\": 3}, {\"name\": \"ARU\", \"id\": 4}, {\"name\": \"VTZ\", \"id\": 5}, {\"name\": \"MIG\", \"id\": 6}, {\"name\": \"QFX\", \"id\": 7}, {\"name\": \"STW\", \"id\": 8}], \"links\": [{\"weight\": 6878, \"source\": 0, \"target\": 6}, {\"weight\": 4941, \"source\": 0, \"target\": 5}, {\"weight\": 15567, \"source\": 0, \"target\": 1}, {\"weight\": 10839, \"source\": 0, \"target\": 4}, {\"weight\": 8570, \"source\": 0, \"target\": 7}, {\"weight\": 16192, \"source\": 0, \"target\": 2}, {\"weight\": 3787, \"source\": 0, \"target\": 8}, {\"weight\": 7062, \"source\": 0, \"target\": 3}, {\"weight\": 13241, \"source\": 1, \"target\": 6}, {\"weight\": 16168, \"source\": 1, \"target\": 5}, {\"weight\": 14153, \"source\": 1, \"target\": 4}, {\"weight\": 10879, \"source\": 1, \"target\": 7}, {\"weight\": 12587, \"source\": 1, \"target\": 2}, {\"weight\": 13502, \"source\": 1, \"target\": 8}, {\"weight\": 12366, \"source\": 1, \"target\": 3}, {\"weight\": 10751, \"source\": 2, \"target\": 6}, {\"weight\": 11539, \"source\": 2, \"target\": 5}, {\"weight\": 12967, \"source\": 2, \"target\": 4}, {\"weight\": 19254, \"source\": 2, \"target\": 7}, {\"weight\": 17658, \"source\": 2, \"target\": 8}, {\"weight\": 17763, \"source\": 2, \"target\": 3}, {\"weight\": 12609, \"source\": 3, \"target\": 6}, {\"weight\": 11558, \"source\": 3, \"target\": 5}, {\"weight\": 5655, \"source\": 3, \"target\": 4}, {\"weight\": 8114, \"source\": 3, \"target\": 7}, {\"weight\": 7291, \"source\": 3, \"target\": 8}, {\"weight\": 17585, \"source\": 4, \"target\": 6}, {\"weight\": 15383, \"source\": 4, \"target\": 5}, {\"weight\": 13550, \"source\": 4, \"target\": 7}, {\"weight\": 12474, \"source\": 4, \"target\": 8}, {\"weight\": 2989, \"source\": 5, \"target\": 6}, {\"weight\": 10965, \"source\": 5, \"target\": 7}, {\"weight\": 6848, \"source\": 5, \"target\": 8}, {\"weight\": 11085, \"source\": 6, \"target\": 7}, {\"weight\": 7079, \"source\": 6, \"target\": 8}, {\"weight\": 6505, \"source\": 7, \"target\": 8}]}",
"id": 1099,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PZU, SXP, TUO, VXE, ARU, VTZ, MIG, QFX, STW\n- Travel distances (in kilometers) between each pair of airports:\nPZU to MIG: 6878\nPZU to VTZ: 4941\nPZU to SXP: 15567\nPZU to ARU: 10839\nPZU to QFX: 8570\nPZU to TUO: 16192\nPZU to STW: 3787\nPZU to VXE: 7062\nSXP to MIG: 13241\nSXP to VTZ: 16168\nSXP to ARU: 14153\nSXP to QFX: 10879\nSXP to TUO: 12587\nSXP to STW: 13502\nSXP to VXE: 12366\nTUO to MIG: 10751\nTUO to VTZ: 11539\nTUO to ARU: 12967\nTUO to QFX: 19254\nTUO to STW: 17658\nTUO to VXE: 17763\nVXE to MIG: 12609\nVXE to VTZ: 11558\nVXE to ARU: 5655\nVXE to QFX: 8114\nVXE to STW: 7291\nARU to MIG: 17585\nARU to VTZ: 15383\nARU to QFX: 13550\nARU to STW: 12474\nVTZ to MIG: 2989\nVTZ to QFX: 10965\nVTZ to STW: 6848\nMIG to QFX: 11085\nMIG to STW: 7079\nQFX to STW: 6505\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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