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: TGP, YGJ, IAM, EDA, EIN, MWZ, JDZ, RAI, DAB\n- Travel distances (in kilometers) between each pair of airports:\nTGP to DAB: 12597\nTGP to IAM: 8336\nTGP to RAI: 10769\nTGP to YGJ: 4669\nTGP to JDZ: 4318\nTGP to EIN: 5979\nTGP to EDA: 13033\nTGP to MWZ: 9186\nYGJ to DAB: 12237\nYGJ to IAM: 11598\nYGJ to RAI: 14038\nYGJ to JDZ: 2219\nYGJ to EIN: 9236\nYGJ to EDA: 9531\nYGJ to MWZ: 11159\nIAM to DAB: 9168\nIAM to RAI: 4570\nIAM to JDZ: 10824\nIAM to EIN: 2734\nIAM to EDA: 11702\nIAM to MWZ: 7854\nEDA to DAB: 5323\nEDA to RAI: 10685\nEDA to JDZ: 11061\nEDA to EIN: 9283\nEDA to MWZ: 16204\nEIN to DAB: 7460\nEIN to RAI: 4803\nEIN to JDZ: 8941\nEIN to MWZ: 7200\nMWZ to DAB: 14276\nMWZ to RAI: 7350\nMWZ to JDZ: 9645\nJDZ to DAB: 13317\nJDZ to RAI: 13649\nRAI to DAB: 7290\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 52371,
"style": "rule"
}
|
{
"exact_answer": 52371,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"TGP\", \"id\": 0}, {\"name\": \"YGJ\", \"id\": 1}, {\"name\": \"IAM\", \"id\": 2}, {\"name\": \"EDA\", \"id\": 3}, {\"name\": \"EIN\", \"id\": 4}, {\"name\": \"MWZ\", \"id\": 5}, {\"name\": \"JDZ\", \"id\": 6}, {\"name\": \"RAI\", \"id\": 7}, {\"name\": \"DAB\", \"id\": 8}], \"links\": [{\"weight\": 12597, \"source\": 0, \"target\": 8}, {\"weight\": 8336, \"source\": 0, \"target\": 2}, {\"weight\": 10769, \"source\": 0, \"target\": 7}, {\"weight\": 4669, \"source\": 0, \"target\": 1}, {\"weight\": 4318, \"source\": 0, \"target\": 6}, {\"weight\": 5979, \"source\": 0, \"target\": 4}, {\"weight\": 13033, \"source\": 0, \"target\": 3}, {\"weight\": 9186, \"source\": 0, \"target\": 5}, {\"weight\": 12237, \"source\": 1, \"target\": 8}, {\"weight\": 11598, \"source\": 1, \"target\": 2}, {\"weight\": 14038, \"source\": 1, \"target\": 7}, {\"weight\": 2219, \"source\": 1, \"target\": 6}, {\"weight\": 9236, \"source\": 1, \"target\": 4}, {\"weight\": 9531, \"source\": 1, \"target\": 3}, {\"weight\": 11159, \"source\": 1, \"target\": 5}, {\"weight\": 9168, \"source\": 2, \"target\": 8}, {\"weight\": 4570, \"source\": 2, \"target\": 7}, {\"weight\": 10824, \"source\": 2, \"target\": 6}, {\"weight\": 2734, \"source\": 2, \"target\": 4}, {\"weight\": 11702, \"source\": 2, \"target\": 3}, {\"weight\": 7854, \"source\": 2, \"target\": 5}, {\"weight\": 5323, \"source\": 3, \"target\": 8}, {\"weight\": 10685, \"source\": 3, \"target\": 7}, {\"weight\": 11061, \"source\": 3, \"target\": 6}, {\"weight\": 9283, \"source\": 3, \"target\": 4}, {\"weight\": 16204, \"source\": 3, \"target\": 5}, {\"weight\": 7460, \"source\": 4, \"target\": 8}, {\"weight\": 4803, \"source\": 4, \"target\": 7}, {\"weight\": 8941, \"source\": 4, \"target\": 6}, {\"weight\": 7200, \"source\": 4, \"target\": 5}, {\"weight\": 14276, \"source\": 5, \"target\": 8}, {\"weight\": 7350, \"source\": 5, \"target\": 7}, {\"weight\": 9645, \"source\": 5, \"target\": 6}, {\"weight\": 13317, \"source\": 6, \"target\": 8}, {\"weight\": 13649, \"source\": 6, \"target\": 7}, {\"weight\": 7290, \"source\": 7, \"target\": 8}]}",
"id": 2200,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TGP, YGJ, IAM, EDA, EIN, MWZ, JDZ, RAI, DAB\n- Travel distances (in kilometers) between each pair of airports:\nTGP to DAB: 12597\nTGP to IAM: 8336\nTGP to RAI: 10769\nTGP to YGJ: 4669\nTGP to JDZ: 4318\nTGP to EIN: 5979\nTGP to EDA: 13033\nTGP to MWZ: 9186\nYGJ to DAB: 12237\nYGJ to IAM: 11598\nYGJ to RAI: 14038\nYGJ to JDZ: 2219\nYGJ to EIN: 9236\nYGJ to EDA: 9531\nYGJ to MWZ: 11159\nIAM to DAB: 9168\nIAM to RAI: 4570\nIAM to JDZ: 10824\nIAM to EIN: 2734\nIAM to EDA: 11702\nIAM to MWZ: 7854\nEDA to DAB: 5323\nEDA to RAI: 10685\nEDA to JDZ: 11061\nEDA to EIN: 9283\nEDA to MWZ: 16204\nEIN to DAB: 7460\nEIN to RAI: 4803\nEIN to JDZ: 8941\nEIN to MWZ: 7200\nMWZ to DAB: 14276\nMWZ to RAI: 7350\nMWZ to JDZ: 9645\nJDZ to DAB: 13317\nJDZ to RAI: 13649\nRAI to DAB: 7290\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: KTS, HDY, BYN, GNM, ENE, ARH, MCM, GUA, IPC\n- Travel distances (in kilometers) between each pair of airports:\nKTS to GUA: 7999\nKTS to ARH: 12605\nKTS to GNM: 14181\nKTS to HDY: 16038\nKTS to ENE: 17274\nKTS to IPC: 14106\nKTS to BYN: 13633\nKTS to MCM: 12050\nHDY to GUA: 17405\nHDY to ARH: 8719\nHDY to GNM: 18089\nHDY to ENE: 3125\nHDY to IPC: 17210\nHDY to BYN: 5086\nHDY to MCM: 10064\nBYN to GUA: 15000\nBYN to ARH: 6107\nBYN to GNM: 15981\nBYN to ENE: 7578\nBYN to IPC: 17250\nBYN to MCM: 7679\nGNM to GUA: 7378\nGNM to ARH: 11357\nGNM to ENE: 20435\nGNM to IPC: 8247\nGNM to MCM: 8404\nENE to GUA: 18611\nENE to ARH: 11643\nENE to IPC: 15535\nENE to MCM: 12867\nARH to GUA: 10985\nARH to IPC: 18316\nARH to MCM: 3145\nMCM to GUA: 9682\nMCM to IPC: 15443\nGUA to IPC: 9537\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 68672,
"style": "rule"
}
|
{
"exact_answer": 68672,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"KTS\", \"id\": 0}, {\"name\": \"HDY\", \"id\": 1}, {\"name\": \"BYN\", \"id\": 2}, {\"name\": \"GNM\", \"id\": 3}, {\"name\": \"ENE\", \"id\": 4}, {\"name\": \"ARH\", \"id\": 5}, {\"name\": \"MCM\", \"id\": 6}, {\"name\": \"GUA\", \"id\": 7}, {\"name\": \"IPC\", \"id\": 8}], \"links\": [{\"weight\": 7999, \"source\": 0, \"target\": 7}, {\"weight\": 12605, \"source\": 0, \"target\": 5}, {\"weight\": 14181, \"source\": 0, \"target\": 3}, {\"weight\": 16038, \"source\": 0, \"target\": 1}, {\"weight\": 17274, \"source\": 0, \"target\": 4}, {\"weight\": 14106, \"source\": 0, \"target\": 8}, {\"weight\": 13633, \"source\": 0, \"target\": 2}, {\"weight\": 12050, \"source\": 0, \"target\": 6}, {\"weight\": 17405, \"source\": 1, \"target\": 7}, {\"weight\": 8719, \"source\": 1, \"target\": 5}, {\"weight\": 18089, \"source\": 1, \"target\": 3}, {\"weight\": 3125, \"source\": 1, \"target\": 4}, {\"weight\": 17210, \"source\": 1, \"target\": 8}, {\"weight\": 5086, \"source\": 1, \"target\": 2}, {\"weight\": 10064, \"source\": 1, \"target\": 6}, {\"weight\": 15000, \"source\": 2, \"target\": 7}, {\"weight\": 6107, \"source\": 2, \"target\": 5}, {\"weight\": 15981, \"source\": 2, \"target\": 3}, {\"weight\": 7578, \"source\": 2, \"target\": 4}, {\"weight\": 17250, \"source\": 2, \"target\": 8}, {\"weight\": 7679, \"source\": 2, \"target\": 6}, {\"weight\": 7378, \"source\": 3, \"target\": 7}, {\"weight\": 11357, \"source\": 3, \"target\": 5}, {\"weight\": 20435, \"source\": 3, \"target\": 4}, {\"weight\": 8247, \"source\": 3, \"target\": 8}, {\"weight\": 8404, \"source\": 3, \"target\": 6}, {\"weight\": 18611, \"source\": 4, \"target\": 7}, {\"weight\": 11643, \"source\": 4, \"target\": 5}, {\"weight\": 15535, \"source\": 4, \"target\": 8}, {\"weight\": 12867, \"source\": 4, \"target\": 6}, {\"weight\": 10985, \"source\": 5, \"target\": 7}, {\"weight\": 18316, \"source\": 5, \"target\": 8}, {\"weight\": 3145, \"source\": 5, \"target\": 6}, {\"weight\": 9682, \"source\": 6, \"target\": 7}, {\"weight\": 15443, \"source\": 6, \"target\": 8}, {\"weight\": 9537, \"source\": 7, \"target\": 8}]}",
"id": 2201,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: KTS, HDY, BYN, GNM, ENE, ARH, MCM, GUA, IPC\n- Travel distances (in kilometers) between each pair of airports:\nKTS to GUA: 7999\nKTS to ARH: 12605\nKTS to GNM: 14181\nKTS to HDY: 16038\nKTS to ENE: 17274\nKTS to IPC: 14106\nKTS to BYN: 13633\nKTS to MCM: 12050\nHDY to GUA: 17405\nHDY to ARH: 8719\nHDY to GNM: 18089\nHDY to ENE: 3125\nHDY to IPC: 17210\nHDY to BYN: 5086\nHDY to MCM: 10064\nBYN to GUA: 15000\nBYN to ARH: 6107\nBYN to GNM: 15981\nBYN to ENE: 7578\nBYN to IPC: 17250\nBYN to MCM: 7679\nGNM to GUA: 7378\nGNM to ARH: 11357\nGNM to ENE: 20435\nGNM to IPC: 8247\nGNM to MCM: 8404\nENE to GUA: 18611\nENE to ARH: 11643\nENE to IPC: 15535\nENE to MCM: 12867\nARH to GUA: 10985\nARH to IPC: 18316\nARH to MCM: 3145\nMCM to GUA: 9682\nMCM to IPC: 15443\nGUA to IPC: 9537\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LGA, JGN, YUB, VLN, TRE, ANF, FRU, TOF, YYB\n- Travel distances (in kilometers) between each pair of airports:\nLGA to JGN: 12739\nLGA to ANF: 7410\nLGA to YUB: 4875\nLGA to VLN: 3512\nLGA to FRU: 10404\nLGA to YYB: 872\nLGA to TRE: 5560\nLGA to TOF: 10385\nJGN to ANF: 19454\nJGN to YUB: 13175\nJGN to VLN: 16034\nJGN to FRU: 3311\nJGN to YYB: 12465\nJGN to TRE: 8914\nJGN to TOF: 4559\nYUB to ANF: 11761\nYUB to VLN: 8341\nYUB to FRU: 13424\nYUB to YYB: 4831\nYUB to TRE: 8703\nYUB to TOF: 13405\nVLN to ANF: 4527\nVLN to FRU: 13166\nVLN to YYB: 4231\nVLN to TRE: 8127\nVLN to TOF: 13080\nTRE to ANF: 11938\nTRE to FRU: 5912\nTRE to YYB: 5748\nTRE to TOF: 5824\nANF to FRU: 16378\nANF to YYB: 7932\nANF to TOF: 16364\nFRU to YYB: 10703\nFRU to TOF: 2388\nTOF to YYB: 10663\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 50378,
"style": "rule"
}
|
{
"exact_answer": 50378,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"LGA\", \"id\": 0}, {\"name\": \"JGN\", \"id\": 1}, {\"name\": \"YUB\", \"id\": 2}, {\"name\": \"VLN\", \"id\": 3}, {\"name\": \"TRE\", \"id\": 4}, {\"name\": \"ANF\", \"id\": 5}, {\"name\": \"FRU\", \"id\": 6}, {\"name\": \"TOF\", \"id\": 7}, {\"name\": \"YYB\", \"id\": 8}], \"links\": [{\"weight\": 12739, \"source\": 0, \"target\": 1}, {\"weight\": 7410, \"source\": 0, \"target\": 5}, {\"weight\": 4875, \"source\": 0, \"target\": 2}, {\"weight\": 3512, \"source\": 0, \"target\": 3}, {\"weight\": 10404, \"source\": 0, \"target\": 6}, {\"weight\": 872, \"source\": 0, \"target\": 8}, {\"weight\": 5560, \"source\": 0, \"target\": 4}, {\"weight\": 10385, \"source\": 0, \"target\": 7}, {\"weight\": 19454, \"source\": 1, \"target\": 5}, {\"weight\": 13175, \"source\": 1, \"target\": 2}, {\"weight\": 16034, \"source\": 1, \"target\": 3}, {\"weight\": 3311, \"source\": 1, \"target\": 6}, {\"weight\": 12465, \"source\": 1, \"target\": 8}, {\"weight\": 8914, \"source\": 1, \"target\": 4}, {\"weight\": 4559, \"source\": 1, \"target\": 7}, {\"weight\": 11761, \"source\": 2, \"target\": 5}, {\"weight\": 8341, \"source\": 2, \"target\": 3}, {\"weight\": 13424, \"source\": 2, \"target\": 6}, {\"weight\": 4831, \"source\": 2, \"target\": 8}, {\"weight\": 8703, \"source\": 2, \"target\": 4}, {\"weight\": 13405, \"source\": 2, \"target\": 7}, {\"weight\": 4527, \"source\": 3, \"target\": 5}, {\"weight\": 13166, \"source\": 3, \"target\": 6}, {\"weight\": 4231, \"source\": 3, \"target\": 8}, {\"weight\": 8127, \"source\": 3, \"target\": 4}, {\"weight\": 13080, \"source\": 3, \"target\": 7}, {\"weight\": 11938, \"source\": 4, \"target\": 5}, {\"weight\": 5912, \"source\": 4, \"target\": 6}, {\"weight\": 5748, \"source\": 4, \"target\": 8}, {\"weight\": 5824, \"source\": 4, \"target\": 7}, {\"weight\": 16378, \"source\": 5, \"target\": 6}, {\"weight\": 7932, \"source\": 5, \"target\": 8}, {\"weight\": 16364, \"source\": 5, \"target\": 7}, {\"weight\": 10703, \"source\": 6, \"target\": 8}, {\"weight\": 2388, \"source\": 6, \"target\": 7}, {\"weight\": 10663, \"source\": 7, \"target\": 8}]}",
"id": 2202,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LGA, JGN, YUB, VLN, TRE, ANF, FRU, TOF, YYB\n- Travel distances (in kilometers) between each pair of airports:\nLGA to JGN: 12739\nLGA to ANF: 7410\nLGA to YUB: 4875\nLGA to VLN: 3512\nLGA to FRU: 10404\nLGA to YYB: 872\nLGA to TRE: 5560\nLGA to TOF: 10385\nJGN to ANF: 19454\nJGN to YUB: 13175\nJGN to VLN: 16034\nJGN to FRU: 3311\nJGN to YYB: 12465\nJGN to TRE: 8914\nJGN to TOF: 4559\nYUB to ANF: 11761\nYUB to VLN: 8341\nYUB to FRU: 13424\nYUB to YYB: 4831\nYUB to TRE: 8703\nYUB to TOF: 13405\nVLN to ANF: 4527\nVLN to FRU: 13166\nVLN to YYB: 4231\nVLN to TRE: 8127\nVLN to TOF: 13080\nTRE to ANF: 11938\nTRE to FRU: 5912\nTRE to YYB: 5748\nTRE to TOF: 5824\nANF to FRU: 16378\nANF to YYB: 7932\nANF to TOF: 16364\nFRU to YYB: 10703\nFRU to TOF: 2388\nTOF to YYB: 10663\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: KQT, UVF, LMN, JFR, GIB, CRL, KHH, XCR, AAQ\n- Travel distances (in kilometers) between each pair of airports:\nKQT to KHH: 5729\nKQT to UVF: 12327\nKQT to GIB: 7281\nKQT to CRL: 5304\nKQT to XCR: 8031\nKQT to JFR: 8051\nKQT to LMN: 7212\nKQT to AAQ: 4178\nUVF to KHH: 16077\nUVF to GIB: 8516\nUVF to CRL: 7293\nUVF to XCR: 8722\nUVF to JFR: 8902\nUVF to LMN: 18394\nUVF to AAQ: 10463\nLMN to KHH: 2393\nLMN to GIB: 13440\nLMN to CRL: 11446\nLMN to XCR: 14027\nLMN to JFR: 14166\nLMN to AAQ: 10367\nJFR to KHH: 12254\nJFR to GIB: 5244\nJFR to CRL: 3849\nJFR to XCR: 5984\nJFR to AAQ: 6118\nGIB to KHH: 11713\nGIB to CRL: 2489\nGIB to XCR: 4307\nGIB to AAQ: 5417\nCRL to KHH: 9812\nCRL to XCR: 2751\nCRL to AAQ: 3440\nKHH to XCR: 12504\nKHH to AAQ: 8775\nXCR to AAQ: 6167\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 53897,
"style": "rule"
}
|
{
"exact_answer": 53897,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"KQT\", \"id\": 0}, {\"name\": \"UVF\", \"id\": 1}, {\"name\": \"LMN\", \"id\": 2}, {\"name\": \"JFR\", \"id\": 3}, {\"name\": \"GIB\", \"id\": 4}, {\"name\": \"CRL\", \"id\": 5}, {\"name\": \"KHH\", \"id\": 6}, {\"name\": \"XCR\", \"id\": 7}, {\"name\": \"AAQ\", \"id\": 8}], \"links\": [{\"weight\": 5729, \"source\": 0, \"target\": 6}, {\"weight\": 12327, \"source\": 0, \"target\": 1}, {\"weight\": 7281, \"source\": 0, \"target\": 4}, {\"weight\": 5304, \"source\": 0, \"target\": 5}, {\"weight\": 8031, \"source\": 0, \"target\": 7}, {\"weight\": 8051, \"source\": 0, \"target\": 3}, {\"weight\": 7212, \"source\": 0, \"target\": 2}, {\"weight\": 4178, \"source\": 0, \"target\": 8}, {\"weight\": 16077, \"source\": 1, \"target\": 6}, {\"weight\": 8516, \"source\": 1, \"target\": 4}, {\"weight\": 7293, \"source\": 1, \"target\": 5}, {\"weight\": 8722, \"source\": 1, \"target\": 7}, {\"weight\": 8902, \"source\": 1, \"target\": 3}, {\"weight\": 18394, \"source\": 1, \"target\": 2}, {\"weight\": 10463, \"source\": 1, \"target\": 8}, {\"weight\": 2393, \"source\": 2, \"target\": 6}, {\"weight\": 13440, \"source\": 2, \"target\": 4}, {\"weight\": 11446, \"source\": 2, \"target\": 5}, {\"weight\": 14027, \"source\": 2, \"target\": 7}, {\"weight\": 14166, \"source\": 2, \"target\": 3}, {\"weight\": 10367, \"source\": 2, \"target\": 8}, {\"weight\": 12254, \"source\": 3, \"target\": 6}, {\"weight\": 5244, \"source\": 3, \"target\": 4}, {\"weight\": 3849, \"source\": 3, \"target\": 5}, {\"weight\": 5984, \"source\": 3, \"target\": 7}, {\"weight\": 6118, \"source\": 3, \"target\": 8}, {\"weight\": 11713, \"source\": 4, \"target\": 6}, {\"weight\": 2489, \"source\": 4, \"target\": 5}, {\"weight\": 4307, \"source\": 4, \"target\": 7}, {\"weight\": 5417, \"source\": 4, \"target\": 8}, {\"weight\": 9812, \"source\": 5, \"target\": 6}, {\"weight\": 2751, \"source\": 5, \"target\": 7}, {\"weight\": 3440, \"source\": 5, \"target\": 8}, {\"weight\": 12504, \"source\": 6, \"target\": 7}, {\"weight\": 8775, \"source\": 6, \"target\": 8}, {\"weight\": 6167, \"source\": 7, \"target\": 8}]}",
"id": 2203,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: KQT, UVF, LMN, JFR, GIB, CRL, KHH, XCR, AAQ\n- Travel distances (in kilometers) between each pair of airports:\nKQT to KHH: 5729\nKQT to UVF: 12327\nKQT to GIB: 7281\nKQT to CRL: 5304\nKQT to XCR: 8031\nKQT to JFR: 8051\nKQT to LMN: 7212\nKQT to AAQ: 4178\nUVF to KHH: 16077\nUVF to GIB: 8516\nUVF to CRL: 7293\nUVF to XCR: 8722\nUVF to JFR: 8902\nUVF to LMN: 18394\nUVF to AAQ: 10463\nLMN to KHH: 2393\nLMN to GIB: 13440\nLMN to CRL: 11446\nLMN to XCR: 14027\nLMN to JFR: 14166\nLMN to AAQ: 10367\nJFR to KHH: 12254\nJFR to GIB: 5244\nJFR to CRL: 3849\nJFR to XCR: 5984\nJFR to AAQ: 6118\nGIB to KHH: 11713\nGIB to CRL: 2489\nGIB to XCR: 4307\nGIB to AAQ: 5417\nCRL to KHH: 9812\nCRL to XCR: 2751\nCRL to AAQ: 3440\nKHH to XCR: 12504\nKHH to AAQ: 8775\nXCR to AAQ: 6167\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BVV, VRN, BCN, PHO, PMV, STS, CNY, BHO, AKF\n- Travel distances (in kilometers) between each pair of airports:\nBVV to BCN: 10093\nBVV to VRN: 9289\nBVV to PHO: 12522\nBVV to AKF: 10982\nBVV to PMV: 16139\nBVV to BHO: 7086\nBVV to STS: 10217\nBVV to CNY: 10736\nVRN to BCN: 1260\nVRN to PHO: 12173\nVRN to AKF: 2709\nVRN to PMV: 8184\nVRN to BHO: 6744\nVRN to STS: 9703\nVRN to CNY: 9194\nBCN to PHO: 12252\nBCN to AKF: 2764\nBCN to PMV: 7820\nBCN to BHO: 7366\nBCN to STS: 9801\nBCN to CNY: 9306\nPHO to AKF: 14853\nPHO to PMV: 10070\nPHO to BHO: 16519\nPHO to STS: 4383\nPHO to CNY: 4827\nPMV to AKF: 10246\nPMV to BHO: 14585\nPMV to STS: 6827\nPMV to CNY: 6161\nSTS to AKF: 12391\nSTS to BHO: 14068\nSTS to CNY: 1887\nCNY to AKF: 11810\nCNY to BHO: 14463\nBHO to AKF: 6945\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 50773,
"style": "rule"
}
|
{
"exact_answer": 50773,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"BVV\", \"id\": 0}, {\"name\": \"VRN\", \"id\": 1}, {\"name\": \"BCN\", \"id\": 2}, {\"name\": \"PHO\", \"id\": 3}, {\"name\": \"PMV\", \"id\": 4}, {\"name\": \"STS\", \"id\": 5}, {\"name\": \"CNY\", \"id\": 6}, {\"name\": \"BHO\", \"id\": 7}, {\"name\": \"AKF\", \"id\": 8}], \"links\": [{\"weight\": 10093, \"source\": 0, \"target\": 2}, {\"weight\": 9289, \"source\": 0, \"target\": 1}, {\"weight\": 12522, \"source\": 0, \"target\": 3}, {\"weight\": 10982, \"source\": 0, \"target\": 8}, {\"weight\": 16139, \"source\": 0, \"target\": 4}, {\"weight\": 7086, \"source\": 0, \"target\": 7}, {\"weight\": 10217, \"source\": 0, \"target\": 5}, {\"weight\": 10736, \"source\": 0, \"target\": 6}, {\"weight\": 1260, \"source\": 1, \"target\": 2}, {\"weight\": 12173, \"source\": 1, \"target\": 3}, {\"weight\": 2709, \"source\": 1, \"target\": 8}, {\"weight\": 8184, \"source\": 1, \"target\": 4}, {\"weight\": 6744, \"source\": 1, \"target\": 7}, {\"weight\": 9703, \"source\": 1, \"target\": 5}, {\"weight\": 9194, \"source\": 1, \"target\": 6}, {\"weight\": 12252, \"source\": 2, \"target\": 3}, {\"weight\": 2764, \"source\": 2, \"target\": 8}, {\"weight\": 7820, \"source\": 2, \"target\": 4}, {\"weight\": 7366, \"source\": 2, \"target\": 7}, {\"weight\": 9801, \"source\": 2, \"target\": 5}, {\"weight\": 9306, \"source\": 2, \"target\": 6}, {\"weight\": 14853, \"source\": 3, \"target\": 8}, {\"weight\": 10070, \"source\": 3, \"target\": 4}, {\"weight\": 16519, \"source\": 3, \"target\": 7}, {\"weight\": 4383, \"source\": 3, \"target\": 5}, {\"weight\": 4827, \"source\": 3, \"target\": 6}, {\"weight\": 10246, \"source\": 4, \"target\": 8}, {\"weight\": 14585, \"source\": 4, \"target\": 7}, {\"weight\": 6827, \"source\": 4, \"target\": 5}, {\"weight\": 6161, \"source\": 4, \"target\": 6}, {\"weight\": 12391, \"source\": 5, \"target\": 8}, {\"weight\": 14068, \"source\": 5, \"target\": 7}, {\"weight\": 1887, \"source\": 5, \"target\": 6}, {\"weight\": 11810, \"source\": 6, \"target\": 8}, {\"weight\": 14463, \"source\": 6, \"target\": 7}, {\"weight\": 6945, \"source\": 7, \"target\": 8}]}",
"id": 2204,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BVV, VRN, BCN, PHO, PMV, STS, CNY, BHO, AKF\n- Travel distances (in kilometers) between each pair of airports:\nBVV to BCN: 10093\nBVV to VRN: 9289\nBVV to PHO: 12522\nBVV to AKF: 10982\nBVV to PMV: 16139\nBVV to BHO: 7086\nBVV to STS: 10217\nBVV to CNY: 10736\nVRN to BCN: 1260\nVRN to PHO: 12173\nVRN to AKF: 2709\nVRN to PMV: 8184\nVRN to BHO: 6744\nVRN to STS: 9703\nVRN to CNY: 9194\nBCN to PHO: 12252\nBCN to AKF: 2764\nBCN to PMV: 7820\nBCN to BHO: 7366\nBCN to STS: 9801\nBCN to CNY: 9306\nPHO to AKF: 14853\nPHO to PMV: 10070\nPHO to BHO: 16519\nPHO to STS: 4383\nPHO to CNY: 4827\nPMV to AKF: 10246\nPMV to BHO: 14585\nPMV to STS: 6827\nPMV to CNY: 6161\nSTS to AKF: 12391\nSTS to BHO: 14068\nSTS to CNY: 1887\nCNY to AKF: 11810\nCNY to BHO: 14463\nBHO to AKF: 6945\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, MCT, STX, NAT, IFJ, TZL, IGA, FRU, FNC\n- Travel distances (in kilometers) between each pair of airports:\nMSU to MCT: 6780\nMSU to FRU: 9421\nMSU to STX: 12968\nMSU to FNC: 8965\nMSU to NAT: 10102\nMSU to IFJ: 14392\nMSU to IGA: 14803\nMSU to TZL: 10329\nMCT to FRU: 2959\nMCT to STX: 12495\nMCT to FNC: 7450\nMCT to NAT: 11703\nMCT to IFJ: 10173\nMCT to IGA: 13405\nMCT to TZL: 6120\nSTX to FRU: 12241\nSTX to FNC: 6703\nSTX to NAT: 4458\nSTX to IFJ: 9727\nSTX to IGA: 2139\nSTX to TZL: 8237\nNAT to FRU: 12486\nNAT to FNC: 5308\nNAT to IFJ: 11984\nNAT to IGA: 6495\nNAT to TZL: 8260\nIFJ to FRU: 9283\nIFJ to FNC: 7144\nIFJ to IGA: 9534\nIFJ to TZL: 6642\nTZL to FRU: 5990\nTZL to FNC: 3575\nTZL to IGA: 9271\nIGA to FRU: 12719\nIGA to FNC: 7439\nFRU to FNC: 7801\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 52681,
"style": "rule"
}
|
{
"exact_answer": 52681,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"MSU\", \"id\": 0}, {\"name\": \"MCT\", \"id\": 1}, {\"name\": \"STX\", \"id\": 2}, {\"name\": \"NAT\", \"id\": 3}, {\"name\": \"IFJ\", \"id\": 4}, {\"name\": \"TZL\", \"id\": 5}, {\"name\": \"IGA\", \"id\": 6}, {\"name\": \"FRU\", \"id\": 7}, {\"name\": \"FNC\", \"id\": 8}], \"links\": [{\"weight\": 6780, \"source\": 0, \"target\": 1}, {\"weight\": 9421, \"source\": 0, \"target\": 7}, {\"weight\": 12968, \"source\": 0, \"target\": 2}, {\"weight\": 8965, \"source\": 0, \"target\": 8}, {\"weight\": 10102, \"source\": 0, \"target\": 3}, {\"weight\": 14392, \"source\": 0, \"target\": 4}, {\"weight\": 14803, \"source\": 0, \"target\": 6}, {\"weight\": 10329, \"source\": 0, \"target\": 5}, {\"weight\": 2959, \"source\": 1, \"target\": 7}, {\"weight\": 12495, \"source\": 1, \"target\": 2}, {\"weight\": 7450, \"source\": 1, \"target\": 8}, {\"weight\": 11703, \"source\": 1, \"target\": 3}, {\"weight\": 10173, \"source\": 1, \"target\": 4}, {\"weight\": 13405, \"source\": 1, \"target\": 6}, {\"weight\": 6120, \"source\": 1, \"target\": 5}, {\"weight\": 12241, \"source\": 2, \"target\": 7}, {\"weight\": 6703, \"source\": 2, \"target\": 8}, {\"weight\": 4458, \"source\": 2, \"target\": 3}, {\"weight\": 9727, \"source\": 2, \"target\": 4}, {\"weight\": 2139, \"source\": 2, \"target\": 6}, {\"weight\": 8237, \"source\": 2, \"target\": 5}, {\"weight\": 12486, \"source\": 3, \"target\": 7}, {\"weight\": 5308, \"source\": 3, \"target\": 8}, {\"weight\": 11984, \"source\": 3, \"target\": 4}, {\"weight\": 6495, \"source\": 3, \"target\": 6}, {\"weight\": 8260, \"source\": 3, \"target\": 5}, {\"weight\": 9283, \"source\": 4, \"target\": 7}, {\"weight\": 7144, \"source\": 4, \"target\": 8}, {\"weight\": 9534, \"source\": 4, \"target\": 6}, {\"weight\": 6642, \"source\": 4, \"target\": 5}, {\"weight\": 5990, \"source\": 5, \"target\": 7}, {\"weight\": 3575, \"source\": 5, \"target\": 8}, {\"weight\": 9271, \"source\": 5, \"target\": 6}, {\"weight\": 12719, \"source\": 6, \"target\": 7}, {\"weight\": 7439, \"source\": 6, \"target\": 8}, {\"weight\": 7801, \"source\": 7, \"target\": 8}]}",
"id": 2205,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, MCT, STX, NAT, IFJ, TZL, IGA, FRU, FNC\n- Travel distances (in kilometers) between each pair of airports:\nMSU to MCT: 6780\nMSU to FRU: 9421\nMSU to STX: 12968\nMSU to FNC: 8965\nMSU to NAT: 10102\nMSU to IFJ: 14392\nMSU to IGA: 14803\nMSU to TZL: 10329\nMCT to FRU: 2959\nMCT to STX: 12495\nMCT to FNC: 7450\nMCT to NAT: 11703\nMCT to IFJ: 10173\nMCT to IGA: 13405\nMCT to TZL: 6120\nSTX to FRU: 12241\nSTX to FNC: 6703\nSTX to NAT: 4458\nSTX to IFJ: 9727\nSTX to IGA: 2139\nSTX to TZL: 8237\nNAT to FRU: 12486\nNAT to FNC: 5308\nNAT to IFJ: 11984\nNAT to IGA: 6495\nNAT to TZL: 8260\nIFJ to FRU: 9283\nIFJ to FNC: 7144\nIFJ to IGA: 9534\nIFJ to TZL: 6642\nTZL to FRU: 5990\nTZL to FNC: 3575\nTZL to IGA: 9271\nIGA to FRU: 12719\nIGA to FNC: 7439\nFRU to FNC: 7801\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: YYY, BJF, PDG, MIG, MVT, CHA, LPL, JKR, TRD\n- Travel distances (in kilometers) between each pair of airports:\nYYY to MIG: 13039\nYYY to CHA: 2168\nYYY to TRD: 6458\nYYY to PDG: 16201\nYYY to LPL: 5734\nYYY to MVT: 11441\nYYY to BJF: 7665\nYYY to JKR: 12843\nBJF to MIG: 8255\nBJF to CHA: 8166\nBJF to TRD: 1207\nBJF to PDG: 11035\nBJF to LPL: 2718\nBJF to MVT: 16872\nBJF to JKR: 7728\nPDG to MIG: 3638\nPDG to CHA: 16203\nPDG to TRD: 10307\nPDG to LPL: 11181\nPDG to MVT: 12788\nPDG to JKR: 3817\nMIG to CHA: 12803\nMIG to TRD: 7527\nMIG to LPL: 8439\nMIG to MVT: 13093\nMIG to JKR: 2040\nMVT to CHA: 10024\nMVT to TRD: 15665\nMVT to LPL: 15752\nMVT to JKR: 15097\nCHA to TRD: 6959\nCHA to LPL: 6509\nCHA to JKR: 13759\nLPL to TRD: 1511\nLPL to JKR: 7823\nJKR to TRD: 7000\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 46838,
"style": "rule"
}
|
{
"exact_answer": 46838,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"YYY\", \"id\": 0}, {\"name\": \"BJF\", \"id\": 1}, {\"name\": \"PDG\", \"id\": 2}, {\"name\": \"MIG\", \"id\": 3}, {\"name\": \"MVT\", \"id\": 4}, {\"name\": \"CHA\", \"id\": 5}, {\"name\": \"LPL\", \"id\": 6}, {\"name\": \"JKR\", \"id\": 7}, {\"name\": \"TRD\", \"id\": 8}], \"links\": [{\"weight\": 13039, \"source\": 0, \"target\": 3}, {\"weight\": 2168, \"source\": 0, \"target\": 5}, {\"weight\": 6458, \"source\": 0, \"target\": 8}, {\"weight\": 16201, \"source\": 0, \"target\": 2}, {\"weight\": 5734, \"source\": 0, \"target\": 6}, {\"weight\": 11441, \"source\": 0, \"target\": 4}, {\"weight\": 7665, \"source\": 0, \"target\": 1}, {\"weight\": 12843, \"source\": 0, \"target\": 7}, {\"weight\": 8255, \"source\": 1, \"target\": 3}, {\"weight\": 8166, \"source\": 1, \"target\": 5}, {\"weight\": 1207, \"source\": 1, \"target\": 8}, {\"weight\": 11035, \"source\": 1, \"target\": 2}, {\"weight\": 2718, \"source\": 1, \"target\": 6}, {\"weight\": 16872, \"source\": 1, \"target\": 4}, {\"weight\": 7728, \"source\": 1, \"target\": 7}, {\"weight\": 3638, \"source\": 2, \"target\": 3}, {\"weight\": 16203, \"source\": 2, \"target\": 5}, {\"weight\": 10307, \"source\": 2, \"target\": 8}, {\"weight\": 11181, \"source\": 2, \"target\": 6}, {\"weight\": 12788, \"source\": 2, \"target\": 4}, {\"weight\": 3817, \"source\": 2, \"target\": 7}, {\"weight\": 12803, \"source\": 3, \"target\": 5}, {\"weight\": 7527, \"source\": 3, \"target\": 8}, {\"weight\": 8439, \"source\": 3, \"target\": 6}, {\"weight\": 13093, \"source\": 3, \"target\": 4}, {\"weight\": 2040, \"source\": 3, \"target\": 7}, {\"weight\": 10024, \"source\": 4, \"target\": 5}, {\"weight\": 15665, \"source\": 4, \"target\": 8}, {\"weight\": 15752, \"source\": 4, \"target\": 6}, {\"weight\": 15097, \"source\": 4, \"target\": 7}, {\"weight\": 6959, \"source\": 5, \"target\": 8}, {\"weight\": 6509, \"source\": 5, \"target\": 6}, {\"weight\": 13759, \"source\": 5, \"target\": 7}, {\"weight\": 1511, \"source\": 6, \"target\": 8}, {\"weight\": 7823, \"source\": 6, \"target\": 7}, {\"weight\": 7000, \"source\": 7, \"target\": 8}]}",
"id": 2206,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: YYY, BJF, PDG, MIG, MVT, CHA, LPL, JKR, TRD\n- Travel distances (in kilometers) between each pair of airports:\nYYY to MIG: 13039\nYYY to CHA: 2168\nYYY to TRD: 6458\nYYY to PDG: 16201\nYYY to LPL: 5734\nYYY to MVT: 11441\nYYY to BJF: 7665\nYYY to JKR: 12843\nBJF to MIG: 8255\nBJF to CHA: 8166\nBJF to TRD: 1207\nBJF to PDG: 11035\nBJF to LPL: 2718\nBJF to MVT: 16872\nBJF to JKR: 7728\nPDG to MIG: 3638\nPDG to CHA: 16203\nPDG to TRD: 10307\nPDG to LPL: 11181\nPDG to MVT: 12788\nPDG to JKR: 3817\nMIG to CHA: 12803\nMIG to TRD: 7527\nMIG to LPL: 8439\nMIG to MVT: 13093\nMIG to JKR: 2040\nMVT to CHA: 10024\nMVT to TRD: 15665\nMVT to LPL: 15752\nMVT to JKR: 15097\nCHA to TRD: 6959\nCHA to LPL: 6509\nCHA to JKR: 13759\nLPL to TRD: 1511\nLPL to JKR: 7823\nJKR to TRD: 7000\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PAC, OZC, FRO, SSA, SRG, ABS, VTE, VCS, EBA\n- Travel distances (in kilometers) between each pair of airports:\nPAC to OZC: 17167\nPAC to SSA: 6584\nPAC to EBA: 10546\nPAC to SRG: 19560\nPAC to VTE: 17410\nPAC to ABS: 13286\nPAC to VCS: 18174\nPAC to FRO: 9828\nOZC to SSA: 19351\nOZC to EBA: 11565\nOZC to SRG: 3152\nOZC to VTE: 3034\nOZC to ABS: 10274\nOZC to VCS: 2616\nOZC to FRO: 10847\nFRO to SSA: 9238\nFRO to EBA: 2122\nFRO to SRG: 11565\nFRO to VTE: 9174\nFRO to ABS: 4932\nFRO to VCS: 9877\nSSA to EBA: 8682\nSSA to SRG: 18713\nSSA to VTE: 17265\nSSA to ABS: 10871\nSSA to VCS: 17794\nSRG to EBA: 11854\nSRG to VTE: 3021\nSRG to ABS: 9305\nSRG to VCS: 2497\nABS to EBA: 4169\nABS to VTE: 7869\nABS to VCS: 8415\nVTE to EBA: 9761\nVTE to VCS: 1194\nVCS to EBA: 10387\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 53992,
"style": "rule"
}
|
{
"exact_answer": 53992,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"PAC\", \"id\": 0}, {\"name\": \"OZC\", \"id\": 1}, {\"name\": \"FRO\", \"id\": 2}, {\"name\": \"SSA\", \"id\": 3}, {\"name\": \"SRG\", \"id\": 4}, {\"name\": \"ABS\", \"id\": 5}, {\"name\": \"VTE\", \"id\": 6}, {\"name\": \"VCS\", \"id\": 7}, {\"name\": \"EBA\", \"id\": 8}], \"links\": [{\"weight\": 17167, \"source\": 0, \"target\": 1}, {\"weight\": 6584, \"source\": 0, \"target\": 3}, {\"weight\": 10546, \"source\": 0, \"target\": 8}, {\"weight\": 19560, \"source\": 0, \"target\": 4}, {\"weight\": 17410, \"source\": 0, \"target\": 6}, {\"weight\": 13286, \"source\": 0, \"target\": 5}, {\"weight\": 18174, \"source\": 0, \"target\": 7}, {\"weight\": 9828, \"source\": 0, \"target\": 2}, {\"weight\": 19351, \"source\": 1, \"target\": 3}, {\"weight\": 11565, \"source\": 1, \"target\": 8}, {\"weight\": 3152, \"source\": 1, \"target\": 4}, {\"weight\": 3034, \"source\": 1, \"target\": 6}, {\"weight\": 10274, \"source\": 1, \"target\": 5}, {\"weight\": 2616, \"source\": 1, \"target\": 7}, {\"weight\": 10847, \"source\": 1, \"target\": 2}, {\"weight\": 9238, \"source\": 2, \"target\": 3}, {\"weight\": 2122, \"source\": 2, \"target\": 8}, {\"weight\": 11565, \"source\": 2, \"target\": 4}, {\"weight\": 9174, \"source\": 2, \"target\": 6}, {\"weight\": 4932, \"source\": 2, \"target\": 5}, {\"weight\": 9877, \"source\": 2, \"target\": 7}, {\"weight\": 8682, \"source\": 3, \"target\": 8}, {\"weight\": 18713, \"source\": 3, \"target\": 4}, {\"weight\": 17265, \"source\": 3, \"target\": 6}, {\"weight\": 10871, \"source\": 3, \"target\": 5}, {\"weight\": 17794, \"source\": 3, \"target\": 7}, {\"weight\": 11854, \"source\": 4, \"target\": 8}, {\"weight\": 3021, \"source\": 4, \"target\": 6}, {\"weight\": 9305, \"source\": 4, \"target\": 5}, {\"weight\": 2497, \"source\": 4, \"target\": 7}, {\"weight\": 4169, \"source\": 5, \"target\": 8}, {\"weight\": 7869, \"source\": 5, \"target\": 6}, {\"weight\": 8415, \"source\": 5, \"target\": 7}, {\"weight\": 9761, \"source\": 6, \"target\": 8}, {\"weight\": 1194, \"source\": 6, \"target\": 7}, {\"weight\": 10387, \"source\": 7, \"target\": 8}]}",
"id": 2207,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PAC, OZC, FRO, SSA, SRG, ABS, VTE, VCS, EBA\n- Travel distances (in kilometers) between each pair of airports:\nPAC to OZC: 17167\nPAC to SSA: 6584\nPAC to EBA: 10546\nPAC to SRG: 19560\nPAC to VTE: 17410\nPAC to ABS: 13286\nPAC to VCS: 18174\nPAC to FRO: 9828\nOZC to SSA: 19351\nOZC to EBA: 11565\nOZC to SRG: 3152\nOZC to VTE: 3034\nOZC to ABS: 10274\nOZC to VCS: 2616\nOZC to FRO: 10847\nFRO to SSA: 9238\nFRO to EBA: 2122\nFRO to SRG: 11565\nFRO to VTE: 9174\nFRO to ABS: 4932\nFRO to VCS: 9877\nSSA to EBA: 8682\nSSA to SRG: 18713\nSSA to VTE: 17265\nSSA to ABS: 10871\nSSA to VCS: 17794\nSRG to EBA: 11854\nSRG to VTE: 3021\nSRG to ABS: 9305\nSRG to VCS: 2497\nABS to EBA: 4169\nABS to VTE: 7869\nABS to VCS: 8415\nVTE to EBA: 9761\nVTE to VCS: 1194\nVCS to EBA: 10387\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, AMS, ULB, SZX, MMU, IXL, AKJ, KAW, KLG\n- Travel distances (in kilometers) between each pair of airports:\nDZN to AMS: 6126\nDZN to SZX: 5086\nDZN to KAW: 5688\nDZN to KLG: 15697\nDZN to IXL: 3133\nDZN to AKJ: 7104\nDZN to ULB: 12886\nDZN to MMU: 12950\nAMS to SZX: 9247\nAMS to KAW: 9538\nAMS to KLG: 10717\nAMS to IXL: 6590\nAMS to AKJ: 10374\nAMS to ULB: 16973\nAMS to MMU: 7548\nULB to SZX: 8339\nULB to KAW: 10398\nULB to KLG: 11249\nULB to IXL: 12264\nULB to AKJ: 9088\nULB to MMU: 13953\nSZX to KAW: 2824\nSZX to KLG: 13294\nSZX to IXL: 4346\nSZX to AKJ: 3624\nSZX to MMU: 13838\nMMU to KAW: 15962\nMMU to KLG: 6436\nMMU to IXL: 13514\nMMU to AKJ: 12634\nIXL to KAW: 3795\nIXL to KLG: 15984\nIXL to AKJ: 7337\nAKJ to KAW: 6413\nAKJ to KLG: 11518\nKAW to KLG: 15636\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 53823,
"style": "rule"
}
|
{
"exact_answer": 53823,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"DZN\", \"id\": 0}, {\"name\": \"AMS\", \"id\": 1}, {\"name\": \"ULB\", \"id\": 2}, {\"name\": \"SZX\", \"id\": 3}, {\"name\": \"MMU\", \"id\": 4}, {\"name\": \"IXL\", \"id\": 5}, {\"name\": \"AKJ\", \"id\": 6}, {\"name\": \"KAW\", \"id\": 7}, {\"name\": \"KLG\", \"id\": 8}], \"links\": [{\"weight\": 6126, \"source\": 0, \"target\": 1}, {\"weight\": 5086, \"source\": 0, \"target\": 3}, {\"weight\": 5688, \"source\": 0, \"target\": 7}, {\"weight\": 15697, \"source\": 0, \"target\": 8}, {\"weight\": 3133, \"source\": 0, \"target\": 5}, {\"weight\": 7104, \"source\": 0, \"target\": 6}, {\"weight\": 12886, \"source\": 0, \"target\": 2}, {\"weight\": 12950, \"source\": 0, \"target\": 4}, {\"weight\": 9247, \"source\": 1, \"target\": 3}, {\"weight\": 9538, \"source\": 1, \"target\": 7}, {\"weight\": 10717, \"source\": 1, \"target\": 8}, {\"weight\": 6590, \"source\": 1, \"target\": 5}, {\"weight\": 10374, \"source\": 1, \"target\": 6}, {\"weight\": 16973, \"source\": 1, \"target\": 2}, {\"weight\": 7548, \"source\": 1, \"target\": 4}, {\"weight\": 8339, \"source\": 2, \"target\": 3}, {\"weight\": 10398, \"source\": 2, \"target\": 7}, {\"weight\": 11249, \"source\": 2, \"target\": 8}, {\"weight\": 12264, \"source\": 2, \"target\": 5}, {\"weight\": 9088, \"source\": 2, \"target\": 6}, {\"weight\": 13953, \"source\": 2, \"target\": 4}, {\"weight\": 2824, \"source\": 3, \"target\": 7}, {\"weight\": 13294, \"source\": 3, \"target\": 8}, {\"weight\": 4346, \"source\": 3, \"target\": 5}, {\"weight\": 3624, \"source\": 3, \"target\": 6}, {\"weight\": 13838, \"source\": 3, \"target\": 4}, {\"weight\": 15962, \"source\": 4, \"target\": 7}, {\"weight\": 6436, \"source\": 4, \"target\": 8}, {\"weight\": 13514, \"source\": 4, \"target\": 5}, {\"weight\": 12634, \"source\": 4, \"target\": 6}, {\"weight\": 3795, \"source\": 5, \"target\": 7}, {\"weight\": 15984, \"source\": 5, \"target\": 8}, {\"weight\": 7337, \"source\": 5, \"target\": 6}, {\"weight\": 6413, \"source\": 6, \"target\": 7}, {\"weight\": 11518, \"source\": 6, \"target\": 8}, {\"weight\": 15636, \"source\": 7, \"target\": 8}]}",
"id": 2208,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, AMS, ULB, SZX, MMU, IXL, AKJ, KAW, KLG\n- Travel distances (in kilometers) between each pair of airports:\nDZN to AMS: 6126\nDZN to SZX: 5086\nDZN to KAW: 5688\nDZN to KLG: 15697\nDZN to IXL: 3133\nDZN to AKJ: 7104\nDZN to ULB: 12886\nDZN to MMU: 12950\nAMS to SZX: 9247\nAMS to KAW: 9538\nAMS to KLG: 10717\nAMS to IXL: 6590\nAMS to AKJ: 10374\nAMS to ULB: 16973\nAMS to MMU: 7548\nULB to SZX: 8339\nULB to KAW: 10398\nULB to KLG: 11249\nULB to IXL: 12264\nULB to AKJ: 9088\nULB to MMU: 13953\nSZX to KAW: 2824\nSZX to KLG: 13294\nSZX to IXL: 4346\nSZX to AKJ: 3624\nSZX to MMU: 13838\nMMU to KAW: 15962\nMMU to KLG: 6436\nMMU to IXL: 13514\nMMU to AKJ: 12634\nIXL to KAW: 3795\nIXL to KLG: 15984\nIXL to AKJ: 7337\nAKJ to KAW: 6413\nAKJ to KLG: 11518\nKAW to KLG: 15636\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: EYK, VKO, LKE, JIC, RDC, BKI, PAT, GRW, DUS\n- Travel distances (in kilometers) between each pair of airports:\nEYK to VKO: 1857\nEYK to DUS: 3916\nEYK to BKI: 8130\nEYK to PAT: 4961\nEYK to JIC: 5028\nEYK to LKE: 11056\nEYK to RDC: 12959\nEYK to GRW: 7114\nVKO to DUS: 2059\nVKO to BKI: 9070\nVKO to PAT: 5245\nVKO to JIC: 5877\nVKO to LKE: 9199\nVKO to RDC: 11102\nVKO to GRW: 5257\nLKE to DUS: 8038\nLKE to BKI: 11818\nLKE to PAT: 12761\nLKE to JIC: 10170\nLKE to RDC: 9705\nLKE to GRW: 8093\nJIC to DUS: 7710\nJIC to BKI: 3929\nJIC to PAT: 3377\nJIC to RDC: 16763\nJIC to GRW: 10897\nRDC to DUS: 9098\nRDC to BKI: 19434\nRDC to PAT: 15537\nRDC to GRW: 7739\nBKI to DUS: 11033\nBKI to PAT: 4106\nBKI to GRW: 14206\nPAT to DUS: 7157\nPAT to GRW: 10180\nGRW to DUS: 3201\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 47727,
"style": "rule"
}
|
{
"exact_answer": 47727,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"EYK\", \"id\": 0}, {\"name\": \"VKO\", \"id\": 1}, {\"name\": \"LKE\", \"id\": 2}, {\"name\": \"JIC\", \"id\": 3}, {\"name\": \"RDC\", \"id\": 4}, {\"name\": \"BKI\", \"id\": 5}, {\"name\": \"PAT\", \"id\": 6}, {\"name\": \"GRW\", \"id\": 7}, {\"name\": \"DUS\", \"id\": 8}], \"links\": [{\"weight\": 1857, \"source\": 0, \"target\": 1}, {\"weight\": 3916, \"source\": 0, \"target\": 8}, {\"weight\": 8130, \"source\": 0, \"target\": 5}, {\"weight\": 4961, \"source\": 0, \"target\": 6}, {\"weight\": 5028, \"source\": 0, \"target\": 3}, {\"weight\": 11056, \"source\": 0, \"target\": 2}, {\"weight\": 12959, \"source\": 0, \"target\": 4}, {\"weight\": 7114, \"source\": 0, \"target\": 7}, {\"weight\": 2059, \"source\": 1, \"target\": 8}, {\"weight\": 9070, \"source\": 1, \"target\": 5}, {\"weight\": 5245, \"source\": 1, \"target\": 6}, {\"weight\": 5877, \"source\": 1, \"target\": 3}, {\"weight\": 9199, \"source\": 1, \"target\": 2}, {\"weight\": 11102, \"source\": 1, \"target\": 4}, {\"weight\": 5257, \"source\": 1, \"target\": 7}, {\"weight\": 8038, \"source\": 2, \"target\": 8}, {\"weight\": 11818, \"source\": 2, \"target\": 5}, {\"weight\": 12761, \"source\": 2, \"target\": 6}, {\"weight\": 10170, \"source\": 2, \"target\": 3}, {\"weight\": 9705, \"source\": 2, \"target\": 4}, {\"weight\": 8093, \"source\": 2, \"target\": 7}, {\"weight\": 7710, \"source\": 3, \"target\": 8}, {\"weight\": 3929, \"source\": 3, \"target\": 5}, {\"weight\": 3377, \"source\": 3, \"target\": 6}, {\"weight\": 16763, \"source\": 3, \"target\": 4}, {\"weight\": 10897, \"source\": 3, \"target\": 7}, {\"weight\": 9098, \"source\": 4, \"target\": 8}, {\"weight\": 19434, \"source\": 4, \"target\": 5}, {\"weight\": 15537, \"source\": 4, \"target\": 6}, {\"weight\": 7739, \"source\": 4, \"target\": 7}, {\"weight\": 11033, \"source\": 5, \"target\": 8}, {\"weight\": 4106, \"source\": 5, \"target\": 6}, {\"weight\": 14206, \"source\": 5, \"target\": 7}, {\"weight\": 7157, \"source\": 6, \"target\": 8}, {\"weight\": 10180, \"source\": 6, \"target\": 7}, {\"weight\": 3201, \"source\": 7, \"target\": 8}]}",
"id": 2209,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: EYK, VKO, LKE, JIC, RDC, BKI, PAT, GRW, DUS\n- Travel distances (in kilometers) between each pair of airports:\nEYK to VKO: 1857\nEYK to DUS: 3916\nEYK to BKI: 8130\nEYK to PAT: 4961\nEYK to JIC: 5028\nEYK to LKE: 11056\nEYK to RDC: 12959\nEYK to GRW: 7114\nVKO to DUS: 2059\nVKO to BKI: 9070\nVKO to PAT: 5245\nVKO to JIC: 5877\nVKO to LKE: 9199\nVKO to RDC: 11102\nVKO to GRW: 5257\nLKE to DUS: 8038\nLKE to BKI: 11818\nLKE to PAT: 12761\nLKE to JIC: 10170\nLKE to RDC: 9705\nLKE to GRW: 8093\nJIC to DUS: 7710\nJIC to BKI: 3929\nJIC to PAT: 3377\nJIC to RDC: 16763\nJIC to GRW: 10897\nRDC to DUS: 9098\nRDC to BKI: 19434\nRDC to PAT: 15537\nRDC to GRW: 7739\nBKI to DUS: 11033\nBKI to PAT: 4106\nBKI to GRW: 14206\nPAT to DUS: 7157\nPAT to GRW: 10180\nGRW to DUS: 3201\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LAP, BMV, URG, ELI, EGS, BGI, SSY, YQZ, FRU\n- Travel distances (in kilometers) between each pair of airports:\nLAP to ELI: 6302\nLAP to FRU: 14165\nLAP to YQZ: 3798\nLAP to BGI: 5677\nLAP to BMV: 14307\nLAP to SSY: 14279\nLAP to URG: 9423\nLAP to EGS: 11144\nBMV to ELI: 14863\nBMV to FRU: 5075\nBMV to YQZ: 11980\nBMV to BGI: 16942\nBMV to SSY: 11260\nBMV to URG: 18692\nBMV to EGS: 14236\nURG to ELI: 14771\nURG to FRU: 15717\nURG to YQZ: 12308\nURG to BGI: 5731\nURG to SSY: 8196\nURG to EGS: 15828\nELI to FRU: 15181\nELI to YQZ: 3768\nELI to BGI: 9601\nELI to SSY: 17361\nELI to EGS: 12155\nEGS to FRU: 9442\nEGS to YQZ: 9366\nEGS to BGI: 10561\nEGS to SSY: 12246\nBGI to FRU: 12215\nBGI to YQZ: 7481\nBGI to SSY: 11140\nSSY to FRU: 8874\nSSY to YQZ: 15150\nYQZ to FRU: 12392\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 64817,
"style": "rule"
}
|
{
"exact_answer": 64817,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"LAP\", \"id\": 0}, {\"name\": \"BMV\", \"id\": 1}, {\"name\": \"URG\", \"id\": 2}, {\"name\": \"ELI\", \"id\": 3}, {\"name\": \"EGS\", \"id\": 4}, {\"name\": \"BGI\", \"id\": 5}, {\"name\": \"SSY\", \"id\": 6}, {\"name\": \"YQZ\", \"id\": 7}, {\"name\": \"FRU\", \"id\": 8}], \"links\": [{\"weight\": 6302, \"source\": 0, \"target\": 3}, {\"weight\": 14165, \"source\": 0, \"target\": 8}, {\"weight\": 3798, \"source\": 0, \"target\": 7}, {\"weight\": 5677, \"source\": 0, \"target\": 5}, {\"weight\": 14307, \"source\": 0, \"target\": 1}, {\"weight\": 14279, \"source\": 0, \"target\": 6}, {\"weight\": 9423, \"source\": 0, \"target\": 2}, {\"weight\": 11144, \"source\": 0, \"target\": 4}, {\"weight\": 14863, \"source\": 1, \"target\": 3}, {\"weight\": 5075, \"source\": 1, \"target\": 8}, {\"weight\": 11980, \"source\": 1, \"target\": 7}, {\"weight\": 16942, \"source\": 1, \"target\": 5}, {\"weight\": 11260, \"source\": 1, \"target\": 6}, {\"weight\": 18692, \"source\": 1, \"target\": 2}, {\"weight\": 14236, \"source\": 1, \"target\": 4}, {\"weight\": 14771, \"source\": 2, \"target\": 3}, {\"weight\": 15717, \"source\": 2, \"target\": 8}, {\"weight\": 12308, \"source\": 2, \"target\": 7}, {\"weight\": 5731, \"source\": 2, \"target\": 5}, {\"weight\": 8196, \"source\": 2, \"target\": 6}, {\"weight\": 15828, \"source\": 2, \"target\": 4}, {\"weight\": 15181, \"source\": 3, \"target\": 8}, {\"weight\": 3768, \"source\": 3, \"target\": 7}, {\"weight\": 9601, \"source\": 3, \"target\": 5}, {\"weight\": 17361, \"source\": 3, \"target\": 6}, {\"weight\": 12155, \"source\": 3, \"target\": 4}, {\"weight\": 9442, \"source\": 4, \"target\": 8}, {\"weight\": 9366, \"source\": 4, \"target\": 7}, {\"weight\": 10561, \"source\": 4, \"target\": 5}, {\"weight\": 12246, \"source\": 4, \"target\": 6}, {\"weight\": 12215, \"source\": 5, \"target\": 8}, {\"weight\": 7481, \"source\": 5, \"target\": 7}, {\"weight\": 11140, \"source\": 5, \"target\": 6}, {\"weight\": 8874, \"source\": 6, \"target\": 8}, {\"weight\": 15150, \"source\": 6, \"target\": 7}, {\"weight\": 12392, \"source\": 7, \"target\": 8}]}",
"id": 2210,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LAP, BMV, URG, ELI, EGS, BGI, SSY, YQZ, FRU\n- Travel distances (in kilometers) between each pair of airports:\nLAP to ELI: 6302\nLAP to FRU: 14165\nLAP to YQZ: 3798\nLAP to BGI: 5677\nLAP to BMV: 14307\nLAP to SSY: 14279\nLAP to URG: 9423\nLAP to EGS: 11144\nBMV to ELI: 14863\nBMV to FRU: 5075\nBMV to YQZ: 11980\nBMV to BGI: 16942\nBMV to SSY: 11260\nBMV to URG: 18692\nBMV to EGS: 14236\nURG to ELI: 14771\nURG to FRU: 15717\nURG to YQZ: 12308\nURG to BGI: 5731\nURG to SSY: 8196\nURG to EGS: 15828\nELI to FRU: 15181\nELI to YQZ: 3768\nELI to BGI: 9601\nELI to SSY: 17361\nELI to EGS: 12155\nEGS to FRU: 9442\nEGS to YQZ: 9366\nEGS to BGI: 10561\nEGS to SSY: 12246\nBGI to FRU: 12215\nBGI to YQZ: 7481\nBGI to SSY: 11140\nSSY to FRU: 8874\nSSY to YQZ: 15150\nYQZ to FRU: 12392\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: FOE, EDI, SCL, FNA, NOS, SWJ, KTE, IST, TLL\n- Travel distances (in kilometers) between each pair of airports:\nFOE to FNA: 8869\nFOE to EDI: 6969\nFOE to SCL: 9298\nFOE to IST: 9515\nFOE to TLL: 7982\nFOE to KTE: 16072\nFOE to NOS: 15732\nFOE to SWJ: 13558\nEDI to IST: 2821\nEDI to FNA: 5384\nEDI to SCL: 12440\nEDI to TLL: 1710\nEDI to KTE: 10937\nEDI to NOS: 9236\nEDI to SWJ: 17214\nSCL to FNA: 9023\nSCL to IST: 13144\nSCL to TLL: 13511\nSCL to KTE: 18227\nSCL to NOS: 12802\nSCL to SWJ: 12053\nFNA to IST: 6089\nFNA to TLL: 6556\nFNA to KTE: 13534\nFNA to NOS: 7369\nFNA to SWJ: 19817\nNOS to IST: 6670\nNOS to TLL: 8703\nNOS to KTE: 7612\nNOS to SWJ: 12917\nSWJ to IST: 15948\nSWJ to TLL: 15596\nSWJ to KTE: 8382\nKTE to IST: 8890\nKTE to TLL: 9239\nIST to TLL: 2044\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 61526,
"style": "rule"
}
|
{
"exact_answer": 61526,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"FOE\", \"id\": 0}, {\"name\": \"EDI\", \"id\": 1}, {\"name\": \"SCL\", \"id\": 2}, {\"name\": \"FNA\", \"id\": 3}, {\"name\": \"NOS\", \"id\": 4}, {\"name\": \"SWJ\", \"id\": 5}, {\"name\": \"KTE\", \"id\": 6}, {\"name\": \"IST\", \"id\": 7}, {\"name\": \"TLL\", \"id\": 8}], \"links\": [{\"weight\": 8869, \"source\": 0, \"target\": 3}, {\"weight\": 6969, \"source\": 0, \"target\": 1}, {\"weight\": 9298, \"source\": 0, \"target\": 2}, {\"weight\": 9515, \"source\": 0, \"target\": 7}, {\"weight\": 7982, \"source\": 0, \"target\": 8}, {\"weight\": 16072, \"source\": 0, \"target\": 6}, {\"weight\": 15732, \"source\": 0, \"target\": 4}, {\"weight\": 13558, \"source\": 0, \"target\": 5}, {\"weight\": 2821, \"source\": 1, \"target\": 7}, {\"weight\": 5384, \"source\": 1, \"target\": 3}, {\"weight\": 12440, \"source\": 1, \"target\": 2}, {\"weight\": 1710, \"source\": 1, \"target\": 8}, {\"weight\": 10937, \"source\": 1, \"target\": 6}, {\"weight\": 9236, \"source\": 1, \"target\": 4}, {\"weight\": 17214, \"source\": 1, \"target\": 5}, {\"weight\": 9023, \"source\": 2, \"target\": 3}, {\"weight\": 13144, \"source\": 2, \"target\": 7}, {\"weight\": 13511, \"source\": 2, \"target\": 8}, {\"weight\": 18227, \"source\": 2, \"target\": 6}, {\"weight\": 12802, \"source\": 2, \"target\": 4}, {\"weight\": 12053, \"source\": 2, \"target\": 5}, {\"weight\": 6089, \"source\": 3, \"target\": 7}, {\"weight\": 6556, \"source\": 3, \"target\": 8}, {\"weight\": 13534, \"source\": 3, \"target\": 6}, {\"weight\": 7369, \"source\": 3, \"target\": 4}, {\"weight\": 19817, \"source\": 3, \"target\": 5}, {\"weight\": 6670, \"source\": 4, \"target\": 7}, {\"weight\": 8703, \"source\": 4, \"target\": 8}, {\"weight\": 7612, \"source\": 4, \"target\": 6}, {\"weight\": 12917, \"source\": 4, \"target\": 5}, {\"weight\": 15948, \"source\": 5, \"target\": 7}, {\"weight\": 15596, \"source\": 5, \"target\": 8}, {\"weight\": 8382, \"source\": 5, \"target\": 6}, {\"weight\": 8890, \"source\": 6, \"target\": 7}, {\"weight\": 9239, \"source\": 6, \"target\": 8}, {\"weight\": 2044, \"source\": 7, \"target\": 8}]}",
"id": 2211,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: FOE, EDI, SCL, FNA, NOS, SWJ, KTE, IST, TLL\n- Travel distances (in kilometers) between each pair of airports:\nFOE to FNA: 8869\nFOE to EDI: 6969\nFOE to SCL: 9298\nFOE to IST: 9515\nFOE to TLL: 7982\nFOE to KTE: 16072\nFOE to NOS: 15732\nFOE to SWJ: 13558\nEDI to IST: 2821\nEDI to FNA: 5384\nEDI to SCL: 12440\nEDI to TLL: 1710\nEDI to KTE: 10937\nEDI to NOS: 9236\nEDI to SWJ: 17214\nSCL to FNA: 9023\nSCL to IST: 13144\nSCL to TLL: 13511\nSCL to KTE: 18227\nSCL to NOS: 12802\nSCL to SWJ: 12053\nFNA to IST: 6089\nFNA to TLL: 6556\nFNA to KTE: 13534\nFNA to NOS: 7369\nFNA to SWJ: 19817\nNOS to IST: 6670\nNOS to TLL: 8703\nNOS to KTE: 7612\nNOS to SWJ: 12917\nSWJ to IST: 15948\nSWJ to TLL: 15596\nSWJ to KTE: 8382\nKTE to IST: 8890\nKTE to TLL: 9239\nIST to TLL: 2044\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: KTL, ASU, ROA, SDQ, FSC, TMT, MYD, TIU, PIU\n- Travel distances (in kilometers) between each pair of airports:\nKTL to SDQ: 14376\nKTL to MYD: 743\nKTL to ASU: 11215\nKTL to ROA: 13562\nKTL to FSC: 7175\nKTL to TMT: 12272\nKTL to PIU: 14372\nKTL to TIU: 15202\nASU to SDQ: 5625\nASU to MYD: 10833\nASU to ROA: 7478\nASU to FSC: 10634\nASU to TMT: 4514\nASU to PIU: 3378\nASU to TIU: 12145\nROA to SDQ: 2426\nROA to MYD: 13335\nROA to FSC: 7340\nROA to TMT: 5970\nROA to PIU: 6367\nROA to TIU: 15060\nSDQ to MYD: 13994\nSDQ to FSC: 7812\nSDQ to TMT: 3713\nSDQ to PIU: 4333\nSDQ to TIU: 16424\nFSC to MYD: 6799\nFSC to TMT: 9273\nFSC to PIU: 11556\nFSC to TIU: 19707\nTMT to MYD: 12013\nTMT to PIU: 6340\nTMT to TIU: 16564\nMYD to PIU: 13990\nMYD to TIU: 15124\nTIU to PIU: 13884\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 57999,
"style": "rule"
}
|
{
"exact_answer": 57999,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"KTL\", \"id\": 0}, {\"name\": \"ASU\", \"id\": 1}, {\"name\": \"ROA\", \"id\": 2}, {\"name\": \"SDQ\", \"id\": 3}, {\"name\": \"FSC\", \"id\": 4}, {\"name\": \"TMT\", \"id\": 5}, {\"name\": \"MYD\", \"id\": 6}, {\"name\": \"TIU\", \"id\": 7}, {\"name\": \"PIU\", \"id\": 8}], \"links\": [{\"weight\": 14376, \"source\": 0, \"target\": 3}, {\"weight\": 743, \"source\": 0, \"target\": 6}, {\"weight\": 11215, \"source\": 0, \"target\": 1}, {\"weight\": 13562, \"source\": 0, \"target\": 2}, {\"weight\": 7175, \"source\": 0, \"target\": 4}, {\"weight\": 12272, \"source\": 0, \"target\": 5}, {\"weight\": 14372, \"source\": 0, \"target\": 8}, {\"weight\": 15202, \"source\": 0, \"target\": 7}, {\"weight\": 5625, \"source\": 1, \"target\": 3}, {\"weight\": 10833, \"source\": 1, \"target\": 6}, {\"weight\": 7478, \"source\": 1, \"target\": 2}, {\"weight\": 10634, \"source\": 1, \"target\": 4}, {\"weight\": 4514, \"source\": 1, \"target\": 5}, {\"weight\": 3378, \"source\": 1, \"target\": 8}, {\"weight\": 12145, \"source\": 1, \"target\": 7}, {\"weight\": 2426, \"source\": 2, \"target\": 3}, {\"weight\": 13335, \"source\": 2, \"target\": 6}, {\"weight\": 7340, \"source\": 2, \"target\": 4}, {\"weight\": 5970, \"source\": 2, \"target\": 5}, {\"weight\": 6367, \"source\": 2, \"target\": 8}, {\"weight\": 15060, \"source\": 2, \"target\": 7}, {\"weight\": 13994, \"source\": 3, \"target\": 6}, {\"weight\": 7812, \"source\": 3, \"target\": 4}, {\"weight\": 3713, \"source\": 3, \"target\": 5}, {\"weight\": 4333, \"source\": 3, \"target\": 8}, {\"weight\": 16424, \"source\": 3, \"target\": 7}, {\"weight\": 6799, \"source\": 4, \"target\": 6}, {\"weight\": 9273, \"source\": 4, \"target\": 5}, {\"weight\": 11556, \"source\": 4, \"target\": 8}, {\"weight\": 19707, \"source\": 4, \"target\": 7}, {\"weight\": 12013, \"source\": 5, \"target\": 6}, {\"weight\": 6340, \"source\": 5, \"target\": 8}, {\"weight\": 16564, \"source\": 5, \"target\": 7}, {\"weight\": 13990, \"source\": 6, \"target\": 8}, {\"weight\": 15124, \"source\": 6, \"target\": 7}, {\"weight\": 13884, \"source\": 7, \"target\": 8}]}",
"id": 2212,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: KTL, ASU, ROA, SDQ, FSC, TMT, MYD, TIU, PIU\n- Travel distances (in kilometers) between each pair of airports:\nKTL to SDQ: 14376\nKTL to MYD: 743\nKTL to ASU: 11215\nKTL to ROA: 13562\nKTL to FSC: 7175\nKTL to TMT: 12272\nKTL to PIU: 14372\nKTL to TIU: 15202\nASU to SDQ: 5625\nASU to MYD: 10833\nASU to ROA: 7478\nASU to FSC: 10634\nASU to TMT: 4514\nASU to PIU: 3378\nASU to TIU: 12145\nROA to SDQ: 2426\nROA to MYD: 13335\nROA to FSC: 7340\nROA to TMT: 5970\nROA to PIU: 6367\nROA to TIU: 15060\nSDQ to MYD: 13994\nSDQ to FSC: 7812\nSDQ to TMT: 3713\nSDQ to PIU: 4333\nSDQ to TIU: 16424\nFSC to MYD: 6799\nFSC to TMT: 9273\nFSC to PIU: 11556\nFSC to TIU: 19707\nTMT to MYD: 12013\nTMT to PIU: 6340\nTMT to TIU: 16564\nMYD to PIU: 13990\nMYD to TIU: 15124\nTIU to PIU: 13884\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: IXB, RMA, CNP, PLS, SMA, LSI, MZR, ALF, RNS\n- Travel distances (in kilometers) between each pair of airports:\nIXB to MZR: 2423\nIXB to PLS: 14957\nIXB to RNS: 8021\nIXB to LSI: 8183\nIXB to ALF: 7656\nIXB to CNP: 11718\nIXB to RMA: 9538\nIXB to SMA: 10314\nRMA to MZR: 11674\nRMA to PLS: 16535\nRMA to RNS: 17126\nRMA to LSI: 16916\nRMA to ALF: 16459\nRMA to CNP: 20388\nRMA to SMA: 19422\nCNP to MZR: 9991\nCNP to PLS: 9093\nCNP to RNS: 5169\nCNP to LSI: 4756\nCNP to ALF: 5507\nCNP to SMA: 7452\nPLS to MZR: 12987\nPLS to RNS: 7760\nPLS to LSI: 7774\nPLS to ALF: 8746\nPLS to SMA: 6233\nSMA to MZR: 7967\nSMA to RNS: 2733\nSMA to LSI: 3577\nSMA to ALF: 5040\nLSI to MZR: 6363\nLSI to RNS: 1319\nLSI to ALF: 2242\nMZR to RNS: 5884\nMZR to ALF: 5944\nALF to RNS: 2882\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 54988,
"style": "rule"
}
|
{
"exact_answer": 54988,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"IXB\", \"id\": 0}, {\"name\": \"RMA\", \"id\": 1}, {\"name\": \"CNP\", \"id\": 2}, {\"name\": \"PLS\", \"id\": 3}, {\"name\": \"SMA\", \"id\": 4}, {\"name\": \"LSI\", \"id\": 5}, {\"name\": \"MZR\", \"id\": 6}, {\"name\": \"ALF\", \"id\": 7}, {\"name\": \"RNS\", \"id\": 8}], \"links\": [{\"weight\": 2423, \"source\": 0, \"target\": 6}, {\"weight\": 14957, \"source\": 0, \"target\": 3}, {\"weight\": 8021, \"source\": 0, \"target\": 8}, {\"weight\": 8183, \"source\": 0, \"target\": 5}, {\"weight\": 7656, \"source\": 0, \"target\": 7}, {\"weight\": 11718, \"source\": 0, \"target\": 2}, {\"weight\": 9538, \"source\": 0, \"target\": 1}, {\"weight\": 10314, \"source\": 0, \"target\": 4}, {\"weight\": 11674, \"source\": 1, \"target\": 6}, {\"weight\": 16535, \"source\": 1, \"target\": 3}, {\"weight\": 17126, \"source\": 1, \"target\": 8}, {\"weight\": 16916, \"source\": 1, \"target\": 5}, {\"weight\": 16459, \"source\": 1, \"target\": 7}, {\"weight\": 20388, \"source\": 1, \"target\": 2}, {\"weight\": 19422, \"source\": 1, \"target\": 4}, {\"weight\": 9991, \"source\": 2, \"target\": 6}, {\"weight\": 9093, \"source\": 2, \"target\": 3}, {\"weight\": 5169, \"source\": 2, \"target\": 8}, {\"weight\": 4756, \"source\": 2, \"target\": 5}, {\"weight\": 5507, \"source\": 2, \"target\": 7}, {\"weight\": 7452, \"source\": 2, \"target\": 4}, {\"weight\": 12987, \"source\": 3, \"target\": 6}, {\"weight\": 7760, \"source\": 3, \"target\": 8}, {\"weight\": 7774, \"source\": 3, \"target\": 5}, {\"weight\": 8746, \"source\": 3, \"target\": 7}, {\"weight\": 6233, \"source\": 3, \"target\": 4}, {\"weight\": 7967, \"source\": 4, \"target\": 6}, {\"weight\": 2733, \"source\": 4, \"target\": 8}, {\"weight\": 3577, \"source\": 4, \"target\": 5}, {\"weight\": 5040, \"source\": 4, \"target\": 7}, {\"weight\": 6363, \"source\": 5, \"target\": 6}, {\"weight\": 1319, \"source\": 5, \"target\": 8}, {\"weight\": 2242, \"source\": 5, \"target\": 7}, {\"weight\": 5884, \"source\": 6, \"target\": 8}, {\"weight\": 5944, \"source\": 6, \"target\": 7}, {\"weight\": 2882, \"source\": 7, \"target\": 8}]}",
"id": 2213,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: IXB, RMA, CNP, PLS, SMA, LSI, MZR, ALF, RNS\n- Travel distances (in kilometers) between each pair of airports:\nIXB to MZR: 2423\nIXB to PLS: 14957\nIXB to RNS: 8021\nIXB to LSI: 8183\nIXB to ALF: 7656\nIXB to CNP: 11718\nIXB to RMA: 9538\nIXB to SMA: 10314\nRMA to MZR: 11674\nRMA to PLS: 16535\nRMA to RNS: 17126\nRMA to LSI: 16916\nRMA to ALF: 16459\nRMA to CNP: 20388\nRMA to SMA: 19422\nCNP to MZR: 9991\nCNP to PLS: 9093\nCNP to RNS: 5169\nCNP to LSI: 4756\nCNP to ALF: 5507\nCNP to SMA: 7452\nPLS to MZR: 12987\nPLS to RNS: 7760\nPLS to LSI: 7774\nPLS to ALF: 8746\nPLS to SMA: 6233\nSMA to MZR: 7967\nSMA to RNS: 2733\nSMA to LSI: 3577\nSMA to ALF: 5040\nLSI to MZR: 6363\nLSI to RNS: 1319\nLSI to ALF: 2242\nMZR to RNS: 5884\nMZR to ALF: 5944\nALF to RNS: 2882\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CDG, BTU, SYD, NBC, CMH, MMH, CPR, KOO, NGK\n- Travel distances (in kilometers) between each pair of airports:\nCDG to NBC: 3370\nCDG to SYD: 16949\nCDG to CMH: 6509\nCDG to MMH: 9513\nCDG to BTU: 11644\nCDG to KOO: 7966\nCDG to CPR: 8213\nCDG to NGK: 9194\nBTU to NBC: 8609\nBTU to SYD: 6425\nBTU to CMH: 15022\nBTU to MMH: 13691\nBTU to KOO: 13134\nBTU to CPR: 13857\nBTU to NGK: 6212\nSYD to NBC: 13780\nSYD to CMH: 15264\nSYD to MMH: 12471\nSYD to KOO: 15698\nSYD to CPR: 13423\nSYD to NGK: 9987\nNBC to CMH: 8775\nNBC to MMH: 11085\nNBC to KOO: 9481\nNBC to CPR: 10211\nNBC to NGK: 6127\nCMH to MMH: 3615\nCMH to KOO: 12935\nCMH to CPR: 2222\nCMH to NGK: 12677\nMMH to KOO: 16545\nMMH to CPR: 1853\nMMH to NGK: 11320\nCPR to KOO: 15139\nCPR to NGK: 11422\nKOO to NGK: 15348\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 59266,
"style": "rule"
}
|
{
"exact_answer": 59266,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"CDG\", \"id\": 0}, {\"name\": \"BTU\", \"id\": 1}, {\"name\": \"SYD\", \"id\": 2}, {\"name\": \"NBC\", \"id\": 3}, {\"name\": \"CMH\", \"id\": 4}, {\"name\": \"MMH\", \"id\": 5}, {\"name\": \"CPR\", \"id\": 6}, {\"name\": \"KOO\", \"id\": 7}, {\"name\": \"NGK\", \"id\": 8}], \"links\": [{\"weight\": 3370, \"source\": 0, \"target\": 3}, {\"weight\": 16949, \"source\": 0, \"target\": 2}, {\"weight\": 6509, \"source\": 0, \"target\": 4}, {\"weight\": 9513, \"source\": 0, \"target\": 5}, {\"weight\": 11644, \"source\": 0, \"target\": 1}, {\"weight\": 7966, \"source\": 0, \"target\": 7}, {\"weight\": 8213, \"source\": 0, \"target\": 6}, {\"weight\": 9194, \"source\": 0, \"target\": 8}, {\"weight\": 8609, \"source\": 1, \"target\": 3}, {\"weight\": 6425, \"source\": 1, \"target\": 2}, {\"weight\": 15022, \"source\": 1, \"target\": 4}, {\"weight\": 13691, \"source\": 1, \"target\": 5}, {\"weight\": 13134, \"source\": 1, \"target\": 7}, {\"weight\": 13857, \"source\": 1, \"target\": 6}, {\"weight\": 6212, \"source\": 1, \"target\": 8}, {\"weight\": 13780, \"source\": 2, \"target\": 3}, {\"weight\": 15264, \"source\": 2, \"target\": 4}, {\"weight\": 12471, \"source\": 2, \"target\": 5}, {\"weight\": 15698, \"source\": 2, \"target\": 7}, {\"weight\": 13423, \"source\": 2, \"target\": 6}, {\"weight\": 9987, \"source\": 2, \"target\": 8}, {\"weight\": 8775, \"source\": 3, \"target\": 4}, {\"weight\": 11085, \"source\": 3, \"target\": 5}, {\"weight\": 9481, \"source\": 3, \"target\": 7}, {\"weight\": 10211, \"source\": 3, \"target\": 6}, {\"weight\": 6127, \"source\": 3, \"target\": 8}, {\"weight\": 3615, \"source\": 4, \"target\": 5}, {\"weight\": 12935, \"source\": 4, \"target\": 7}, {\"weight\": 2222, \"source\": 4, \"target\": 6}, {\"weight\": 12677, \"source\": 4, \"target\": 8}, {\"weight\": 16545, \"source\": 5, \"target\": 7}, {\"weight\": 1853, \"source\": 5, \"target\": 6}, {\"weight\": 11320, \"source\": 5, \"target\": 8}, {\"weight\": 15139, \"source\": 6, \"target\": 7}, {\"weight\": 11422, \"source\": 6, \"target\": 8}, {\"weight\": 15348, \"source\": 7, \"target\": 8}]}",
"id": 2214,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CDG, BTU, SYD, NBC, CMH, MMH, CPR, KOO, NGK\n- Travel distances (in kilometers) between each pair of airports:\nCDG to NBC: 3370\nCDG to SYD: 16949\nCDG to CMH: 6509\nCDG to MMH: 9513\nCDG to BTU: 11644\nCDG to KOO: 7966\nCDG to CPR: 8213\nCDG to NGK: 9194\nBTU to NBC: 8609\nBTU to SYD: 6425\nBTU to CMH: 15022\nBTU to MMH: 13691\nBTU to KOO: 13134\nBTU to CPR: 13857\nBTU to NGK: 6212\nSYD to NBC: 13780\nSYD to CMH: 15264\nSYD to MMH: 12471\nSYD to KOO: 15698\nSYD to CPR: 13423\nSYD to NGK: 9987\nNBC to CMH: 8775\nNBC to MMH: 11085\nNBC to KOO: 9481\nNBC to CPR: 10211\nNBC to NGK: 6127\nCMH to MMH: 3615\nCMH to KOO: 12935\nCMH to CPR: 2222\nCMH to NGK: 12677\nMMH to KOO: 16545\nMMH to CPR: 1853\nMMH to NGK: 11320\nCPR to KOO: 15139\nCPR to NGK: 11422\nKOO to NGK: 15348\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: YKL, AMS, MOZ, GPA, JPA, SAH, FUE, PTJ, ARN\n- Travel distances (in kilometers) between each pair of airports:\nYKL to ARN: 6649\nYKL to AMS: 5558\nYKL to FUE: 7117\nYKL to JPA: 8742\nYKL to SAH: 10807\nYKL to GPA: 7509\nYKL to PTJ: 18726\nYKL to MOZ: 11710\nAMS to ARN: 1152\nAMS to FUE: 3066\nAMS to JPA: 8000\nAMS to SAH: 5368\nAMS to GPA: 2033\nAMS to PTJ: 17869\nAMS to MOZ: 15584\nMOZ to ARN: 15491\nMOZ to FUE: 16323\nMOZ to JPA: 12756\nMOZ to SAH: 19024\nMOZ to GPA: 17616\nMOZ to PTJ: 7912\nGPA to ARN: 2889\nGPA to FUE: 4721\nGPA to JPA: 9695\nGPA to SAH: 5098\nGPA to PTJ: 17753\nJPA to ARN: 9152\nJPA to FUE: 5031\nJPA to SAH: 10591\nJPA to PTJ: 17846\nSAH to ARN: 5383\nSAH to FUE: 6736\nSAH to PTJ: 14333\nFUE to ARN: 4217\nFUE to PTJ: 20101\nPTJ to ARN: 16934\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\": \"YKL\", \"id\": 0}, {\"name\": \"AMS\", \"id\": 1}, {\"name\": \"MOZ\", \"id\": 2}, {\"name\": \"GPA\", \"id\": 3}, {\"name\": \"JPA\", \"id\": 4}, {\"name\": \"SAH\", \"id\": 5}, {\"name\": \"FUE\", \"id\": 6}, {\"name\": \"PTJ\", \"id\": 7}, {\"name\": \"ARN\", \"id\": 8}], \"links\": [{\"weight\": 6649, \"source\": 0, \"target\": 8}, {\"weight\": 5558, \"source\": 0, \"target\": 1}, {\"weight\": 7117, \"source\": 0, \"target\": 6}, {\"weight\": 8742, \"source\": 0, \"target\": 4}, {\"weight\": 10807, \"source\": 0, \"target\": 5}, {\"weight\": 7509, \"source\": 0, \"target\": 3}, {\"weight\": 18726, \"source\": 0, \"target\": 7}, {\"weight\": 11710, \"source\": 0, \"target\": 2}, {\"weight\": 1152, \"source\": 1, \"target\": 8}, {\"weight\": 3066, \"source\": 1, \"target\": 6}, {\"weight\": 8000, \"source\": 1, \"target\": 4}, {\"weight\": 5368, \"source\": 1, \"target\": 5}, {\"weight\": 2033, \"source\": 1, \"target\": 3}, {\"weight\": 17869, \"source\": 1, \"target\": 7}, {\"weight\": 15584, \"source\": 1, \"target\": 2}, {\"weight\": 15491, \"source\": 2, \"target\": 8}, {\"weight\": 16323, \"source\": 2, \"target\": 6}, {\"weight\": 12756, \"source\": 2, \"target\": 4}, {\"weight\": 19024, \"source\": 2, \"target\": 5}, {\"weight\": 17616, \"source\": 2, \"target\": 3}, {\"weight\": 7912, \"source\": 2, \"target\": 7}, {\"weight\": 2889, \"source\": 3, \"target\": 8}, {\"weight\": 4721, \"source\": 3, \"target\": 6}, {\"weight\": 9695, \"source\": 3, \"target\": 4}, {\"weight\": 5098, \"source\": 3, \"target\": 5}, {\"weight\": 17753, \"source\": 3, \"target\": 7}, {\"weight\": 9152, \"source\": 4, \"target\": 8}, {\"weight\": 5031, \"source\": 4, \"target\": 6}, {\"weight\": 10591, \"source\": 4, \"target\": 5}, {\"weight\": 17846, \"source\": 4, \"target\": 7}, {\"weight\": 5383, \"source\": 5, \"target\": 8}, {\"weight\": 6736, \"source\": 5, \"target\": 6}, {\"weight\": 14333, \"source\": 5, \"target\": 7}, {\"weight\": 4217, \"source\": 6, \"target\": 8}, {\"weight\": 20101, \"source\": 6, \"target\": 7}, {\"weight\": 16934, \"source\": 7, \"target\": 8}]}",
"id": 2215,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: YKL, AMS, MOZ, GPA, JPA, SAH, FUE, PTJ, ARN\n- Travel distances (in kilometers) between each pair of airports:\nYKL to ARN: 6649\nYKL to AMS: 5558\nYKL to FUE: 7117\nYKL to JPA: 8742\nYKL to SAH: 10807\nYKL to GPA: 7509\nYKL to PTJ: 18726\nYKL to MOZ: 11710\nAMS to ARN: 1152\nAMS to FUE: 3066\nAMS to JPA: 8000\nAMS to SAH: 5368\nAMS to GPA: 2033\nAMS to PTJ: 17869\nAMS to MOZ: 15584\nMOZ to ARN: 15491\nMOZ to FUE: 16323\nMOZ to JPA: 12756\nMOZ to SAH: 19024\nMOZ to GPA: 17616\nMOZ to PTJ: 7912\nGPA to ARN: 2889\nGPA to FUE: 4721\nGPA to JPA: 9695\nGPA to SAH: 5098\nGPA to PTJ: 17753\nJPA to ARN: 9152\nJPA to FUE: 5031\nJPA to SAH: 10591\nJPA to PTJ: 17846\nSAH to ARN: 5383\nSAH to FUE: 6736\nSAH to PTJ: 14333\nFUE to ARN: 4217\nFUE to PTJ: 20101\nPTJ to ARN: 16934\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: COS, CTU, MRZ, NGQ, VTE, EYW, DEB, YLW, ORB\n- Travel distances (in kilometers) between each pair of airports:\nCOS to EYW: 2705\nCOS to CTU: 11950\nCOS to YLW: 1961\nCOS to VTE: 13220\nCOS to ORB: 8336\nCOS to NGQ: 14111\nCOS to MRZ: 13909\nCOS to DEB: 9289\nCTU to EYW: 14135\nCTU to YLW: 10335\nCTU to VTE: 1410\nCTU to ORB: 7828\nCTU to NGQ: 2357\nCTU to MRZ: 9254\nCTU to DEB: 9201\nMRZ to EYW: 16071\nMRZ to YLW: 13297\nMRZ to VTE: 8310\nMRZ to ORB: 16987\nMRZ to NGQ: 11392\nMRZ to DEB: 18436\nNGQ to EYW: 15055\nNGQ to YLW: 12496\nNGQ to VTE: 3110\nNGQ to ORB: 7683\nNGQ to DEB: 9056\nVTE to EYW: 15405\nVTE to YLW: 11605\nVTE to ORB: 9238\nVTE to DEB: 10611\nEYW to YLW: 4543\nEYW to ORB: 8594\nEYW to DEB: 8985\nDEB to YLW: 8959\nDEB to ORB: 2638\nYLW to ORB: 7960\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 49346,
"style": "rule"
}
|
{
"exact_answer": 49346,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"COS\", \"id\": 0}, {\"name\": \"CTU\", \"id\": 1}, {\"name\": \"MRZ\", \"id\": 2}, {\"name\": \"NGQ\", \"id\": 3}, {\"name\": \"VTE\", \"id\": 4}, {\"name\": \"EYW\", \"id\": 5}, {\"name\": \"DEB\", \"id\": 6}, {\"name\": \"YLW\", \"id\": 7}, {\"name\": \"ORB\", \"id\": 8}], \"links\": [{\"weight\": 2705, \"source\": 0, \"target\": 5}, {\"weight\": 11950, \"source\": 0, \"target\": 1}, {\"weight\": 1961, \"source\": 0, \"target\": 7}, {\"weight\": 13220, \"source\": 0, \"target\": 4}, {\"weight\": 8336, \"source\": 0, \"target\": 8}, {\"weight\": 14111, \"source\": 0, \"target\": 3}, {\"weight\": 13909, \"source\": 0, \"target\": 2}, {\"weight\": 9289, \"source\": 0, \"target\": 6}, {\"weight\": 14135, \"source\": 1, \"target\": 5}, {\"weight\": 10335, \"source\": 1, \"target\": 7}, {\"weight\": 1410, \"source\": 1, \"target\": 4}, {\"weight\": 7828, \"source\": 1, \"target\": 8}, {\"weight\": 2357, \"source\": 1, \"target\": 3}, {\"weight\": 9254, \"source\": 1, \"target\": 2}, {\"weight\": 9201, \"source\": 1, \"target\": 6}, {\"weight\": 16071, \"source\": 2, \"target\": 5}, {\"weight\": 13297, \"source\": 2, \"target\": 7}, {\"weight\": 8310, \"source\": 2, \"target\": 4}, {\"weight\": 16987, \"source\": 2, \"target\": 8}, {\"weight\": 11392, \"source\": 2, \"target\": 3}, {\"weight\": 18436, \"source\": 2, \"target\": 6}, {\"weight\": 15055, \"source\": 3, \"target\": 5}, {\"weight\": 12496, \"source\": 3, \"target\": 7}, {\"weight\": 3110, \"source\": 3, \"target\": 4}, {\"weight\": 7683, \"source\": 3, \"target\": 8}, {\"weight\": 9056, \"source\": 3, \"target\": 6}, {\"weight\": 15405, \"source\": 4, \"target\": 5}, {\"weight\": 11605, \"source\": 4, \"target\": 7}, {\"weight\": 9238, \"source\": 4, \"target\": 8}, {\"weight\": 10611, \"source\": 4, \"target\": 6}, {\"weight\": 4543, \"source\": 5, \"target\": 7}, {\"weight\": 8594, \"source\": 5, \"target\": 8}, {\"weight\": 8985, \"source\": 5, \"target\": 6}, {\"weight\": 8959, \"source\": 6, \"target\": 7}, {\"weight\": 2638, \"source\": 6, \"target\": 8}, {\"weight\": 7960, \"source\": 7, \"target\": 8}]}",
"id": 2216,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: COS, CTU, MRZ, NGQ, VTE, EYW, DEB, YLW, ORB\n- Travel distances (in kilometers) between each pair of airports:\nCOS to EYW: 2705\nCOS to CTU: 11950\nCOS to YLW: 1961\nCOS to VTE: 13220\nCOS to ORB: 8336\nCOS to NGQ: 14111\nCOS to MRZ: 13909\nCOS to DEB: 9289\nCTU to EYW: 14135\nCTU to YLW: 10335\nCTU to VTE: 1410\nCTU to ORB: 7828\nCTU to NGQ: 2357\nCTU to MRZ: 9254\nCTU to DEB: 9201\nMRZ to EYW: 16071\nMRZ to YLW: 13297\nMRZ to VTE: 8310\nMRZ to ORB: 16987\nMRZ to NGQ: 11392\nMRZ to DEB: 18436\nNGQ to EYW: 15055\nNGQ to YLW: 12496\nNGQ to VTE: 3110\nNGQ to ORB: 7683\nNGQ to DEB: 9056\nVTE to EYW: 15405\nVTE to YLW: 11605\nVTE to ORB: 9238\nVTE to DEB: 10611\nEYW to YLW: 4543\nEYW to ORB: 8594\nEYW to DEB: 8985\nDEB to YLW: 8959\nDEB to ORB: 2638\nYLW to ORB: 7960\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: FMA, TUG, KSY, KCG, CCC, GLN, PTU, PHC, SLC\n- Travel distances (in kilometers) between each pair of airports:\nFMA to TUG: 20033\nFMA to PTU: 15244\nFMA to SLC: 11081\nFMA to CCC: 8079\nFMA to PHC: 9377\nFMA to GLN: 9807\nFMA to KCG: 15157\nFMA to KSY: 14385\nTUG to PTU: 14186\nTUG to SLC: 12160\nTUG to CCC: 15866\nTUG to PHC: 13084\nTUG to GLN: 13295\nTUG to KCG: 14099\nTUG to KSY: 10161\nKSY to PTU: 14311\nKSY to SLC: 11583\nKSY to CCC: 10985\nKSY to PHC: 5816\nKSY to GLN: 5046\nKSY to KCG: 14224\nKCG to PTU: 1583\nKCG to SLC: 4160\nKCG to CCC: 8227\nKCG to PHC: 15322\nKCG to GLN: 12455\nCCC to PTU: 8314\nCCC to SLC: 4154\nCCC to PHC: 11622\nCCC to GLN: 8803\nGLN to PTU: 12542\nGLN to SLC: 9256\nGLN to PHC: 4147\nPTU to SLC: 4247\nPTU to PHC: 15409\nPHC to SLC: 12074\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 60893,
"style": "rule"
}
|
{
"exact_answer": 60893,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"FMA\", \"id\": 0}, {\"name\": \"TUG\", \"id\": 1}, {\"name\": \"KSY\", \"id\": 2}, {\"name\": \"KCG\", \"id\": 3}, {\"name\": \"CCC\", \"id\": 4}, {\"name\": \"GLN\", \"id\": 5}, {\"name\": \"PTU\", \"id\": 6}, {\"name\": \"PHC\", \"id\": 7}, {\"name\": \"SLC\", \"id\": 8}], \"links\": [{\"weight\": 20033, \"source\": 0, \"target\": 1}, {\"weight\": 15244, \"source\": 0, \"target\": 6}, {\"weight\": 11081, \"source\": 0, \"target\": 8}, {\"weight\": 8079, \"source\": 0, \"target\": 4}, {\"weight\": 9377, \"source\": 0, \"target\": 7}, {\"weight\": 9807, \"source\": 0, \"target\": 5}, {\"weight\": 15157, \"source\": 0, \"target\": 3}, {\"weight\": 14385, \"source\": 0, \"target\": 2}, {\"weight\": 14186, \"source\": 1, \"target\": 6}, {\"weight\": 12160, \"source\": 1, \"target\": 8}, {\"weight\": 15866, \"source\": 1, \"target\": 4}, {\"weight\": 13084, \"source\": 1, \"target\": 7}, {\"weight\": 13295, \"source\": 1, \"target\": 5}, {\"weight\": 14099, \"source\": 1, \"target\": 3}, {\"weight\": 10161, \"source\": 1, \"target\": 2}, {\"weight\": 14311, \"source\": 2, \"target\": 6}, {\"weight\": 11583, \"source\": 2, \"target\": 8}, {\"weight\": 10985, \"source\": 2, \"target\": 4}, {\"weight\": 5816, \"source\": 2, \"target\": 7}, {\"weight\": 5046, \"source\": 2, \"target\": 5}, {\"weight\": 14224, \"source\": 2, \"target\": 3}, {\"weight\": 1583, \"source\": 3, \"target\": 6}, {\"weight\": 4160, \"source\": 3, \"target\": 8}, {\"weight\": 8227, \"source\": 3, \"target\": 4}, {\"weight\": 15322, \"source\": 3, \"target\": 7}, {\"weight\": 12455, \"source\": 3, \"target\": 5}, {\"weight\": 8314, \"source\": 4, \"target\": 6}, {\"weight\": 4154, \"source\": 4, \"target\": 8}, {\"weight\": 11622, \"source\": 4, \"target\": 7}, {\"weight\": 8803, \"source\": 4, \"target\": 5}, {\"weight\": 12542, \"source\": 5, \"target\": 6}, {\"weight\": 9256, \"source\": 5, \"target\": 8}, {\"weight\": 4147, \"source\": 5, \"target\": 7}, {\"weight\": 4247, \"source\": 6, \"target\": 8}, {\"weight\": 15409, \"source\": 6, \"target\": 7}, {\"weight\": 12074, \"source\": 7, \"target\": 8}]}",
"id": 2217,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: FMA, TUG, KSY, KCG, CCC, GLN, PTU, PHC, SLC\n- Travel distances (in kilometers) between each pair of airports:\nFMA to TUG: 20033\nFMA to PTU: 15244\nFMA to SLC: 11081\nFMA to CCC: 8079\nFMA to PHC: 9377\nFMA to GLN: 9807\nFMA to KCG: 15157\nFMA to KSY: 14385\nTUG to PTU: 14186\nTUG to SLC: 12160\nTUG to CCC: 15866\nTUG to PHC: 13084\nTUG to GLN: 13295\nTUG to KCG: 14099\nTUG to KSY: 10161\nKSY to PTU: 14311\nKSY to SLC: 11583\nKSY to CCC: 10985\nKSY to PHC: 5816\nKSY to GLN: 5046\nKSY to KCG: 14224\nKCG to PTU: 1583\nKCG to SLC: 4160\nKCG to CCC: 8227\nKCG to PHC: 15322\nKCG to GLN: 12455\nCCC to PTU: 8314\nCCC to SLC: 4154\nCCC to PHC: 11622\nCCC to GLN: 8803\nGLN to PTU: 12542\nGLN to SLC: 9256\nGLN to PHC: 4147\nPTU to SLC: 4247\nPTU to PHC: 15409\nPHC to SLC: 12074\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: EAT, AWZ, DLI, LUV, RET, HOM, KSJ, VCA, NQN\n- Travel distances (in kilometers) between each pair of airports:\nEAT to HOM: 2671\nEAT to NQN: 11429\nEAT to KSJ: 10587\nEAT to AWZ: 12401\nEAT to LUV: 14847\nEAT to DLI: 11987\nEAT to VCA: 12407\nEAT to RET: 8153\nAWZ to HOM: 14756\nAWZ to NQN: 14632\nAWZ to KSJ: 2952\nAWZ to LUV: 10164\nAWZ to DLI: 6767\nAWZ to VCA: 6980\nAWZ to RET: 5397\nDLI to HOM: 14342\nDLI to NQN: 19275\nDLI to KSJ: 9290\nDLI to LUV: 4691\nDLI to VCA: 639\nDLI to RET: 10069\nLUV to HOM: 17169\nLUV to NQN: 18989\nLUV to KSJ: 12767\nLUV to VCA: 4904\nLUV to RET: 14007\nRET to HOM: 10508\nRET to NQN: 14183\nRET to KSJ: 3958\nRET to VCA: 10219\nHOM to NQN: 13779\nHOM to KSJ: 12942\nHOM to VCA: 14762\nKSJ to NQN: 13579\nKSJ to VCA: 9503\nVCA to NQN: 19488\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 62812,
"style": "rule"
}
|
{
"exact_answer": 62812,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"EAT\", \"id\": 0}, {\"name\": \"AWZ\", \"id\": 1}, {\"name\": \"DLI\", \"id\": 2}, {\"name\": \"LUV\", \"id\": 3}, {\"name\": \"RET\", \"id\": 4}, {\"name\": \"HOM\", \"id\": 5}, {\"name\": \"KSJ\", \"id\": 6}, {\"name\": \"VCA\", \"id\": 7}, {\"name\": \"NQN\", \"id\": 8}], \"links\": [{\"weight\": 2671, \"source\": 0, \"target\": 5}, {\"weight\": 11429, \"source\": 0, \"target\": 8}, {\"weight\": 10587, \"source\": 0, \"target\": 6}, {\"weight\": 12401, \"source\": 0, \"target\": 1}, {\"weight\": 14847, \"source\": 0, \"target\": 3}, {\"weight\": 11987, \"source\": 0, \"target\": 2}, {\"weight\": 12407, \"source\": 0, \"target\": 7}, {\"weight\": 8153, \"source\": 0, \"target\": 4}, {\"weight\": 14756, \"source\": 1, \"target\": 5}, {\"weight\": 14632, \"source\": 1, \"target\": 8}, {\"weight\": 2952, \"source\": 1, \"target\": 6}, {\"weight\": 10164, \"source\": 1, \"target\": 3}, {\"weight\": 6767, \"source\": 1, \"target\": 2}, {\"weight\": 6980, \"source\": 1, \"target\": 7}, {\"weight\": 5397, \"source\": 1, \"target\": 4}, {\"weight\": 14342, \"source\": 2, \"target\": 5}, {\"weight\": 19275, \"source\": 2, \"target\": 8}, {\"weight\": 9290, \"source\": 2, \"target\": 6}, {\"weight\": 4691, \"source\": 2, \"target\": 3}, {\"weight\": 639, \"source\": 2, \"target\": 7}, {\"weight\": 10069, \"source\": 2, \"target\": 4}, {\"weight\": 17169, \"source\": 3, \"target\": 5}, {\"weight\": 18989, \"source\": 3, \"target\": 8}, {\"weight\": 12767, \"source\": 3, \"target\": 6}, {\"weight\": 4904, \"source\": 3, \"target\": 7}, {\"weight\": 14007, \"source\": 3, \"target\": 4}, {\"weight\": 10508, \"source\": 4, \"target\": 5}, {\"weight\": 14183, \"source\": 4, \"target\": 8}, {\"weight\": 3958, \"source\": 4, \"target\": 6}, {\"weight\": 10219, \"source\": 4, \"target\": 7}, {\"weight\": 13779, \"source\": 5, \"target\": 8}, {\"weight\": 12942, \"source\": 5, \"target\": 6}, {\"weight\": 14762, \"source\": 5, \"target\": 7}, {\"weight\": 13579, \"source\": 6, \"target\": 8}, {\"weight\": 9503, \"source\": 6, \"target\": 7}, {\"weight\": 19488, \"source\": 7, \"target\": 8}]}",
"id": 2218,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: EAT, AWZ, DLI, LUV, RET, HOM, KSJ, VCA, NQN\n- Travel distances (in kilometers) between each pair of airports:\nEAT to HOM: 2671\nEAT to NQN: 11429\nEAT to KSJ: 10587\nEAT to AWZ: 12401\nEAT to LUV: 14847\nEAT to DLI: 11987\nEAT to VCA: 12407\nEAT to RET: 8153\nAWZ to HOM: 14756\nAWZ to NQN: 14632\nAWZ to KSJ: 2952\nAWZ to LUV: 10164\nAWZ to DLI: 6767\nAWZ to VCA: 6980\nAWZ to RET: 5397\nDLI to HOM: 14342\nDLI to NQN: 19275\nDLI to KSJ: 9290\nDLI to LUV: 4691\nDLI to VCA: 639\nDLI to RET: 10069\nLUV to HOM: 17169\nLUV to NQN: 18989\nLUV to KSJ: 12767\nLUV to VCA: 4904\nLUV to RET: 14007\nRET to HOM: 10508\nRET to NQN: 14183\nRET to KSJ: 3958\nRET to VCA: 10219\nHOM to NQN: 13779\nHOM to KSJ: 12942\nHOM to VCA: 14762\nKSJ to NQN: 13579\nKSJ to VCA: 9503\nVCA to NQN: 19488\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: FBM, PWQ, YIC, HOI, LYP, GSM, ANR, GRW, AEP\n- Travel distances (in kilometers) between each pair of airports:\nFBM to AEP: 10275\nFBM to YIC: 10408\nFBM to ANR: 8572\nFBM to GSM: 5274\nFBM to LYP: 7065\nFBM to PWQ: 8897\nFBM to GRW: 8658\nFBM to HOI: 19686\nPWQ to AEP: 16046\nPWQ to YIC: 5634\nPWQ to ANR: 5387\nPWQ to GSM: 3817\nPWQ to LYP: 4531\nPWQ to GRW: 7852\nPWQ to HOI: 16749\nYIC to AEP: 19788\nYIC to ANR: 9813\nYIC to GSM: 6110\nYIC to LYP: 5706\nYIC to GRW: 12237\nYIC to HOI: 13290\nHOI to AEP: 10064\nHOI to ANR: 16821\nHOI to GSM: 18514\nHOI to LYP: 18255\nHOI to GRW: 15788\nLYP to AEP: 15957\nLYP to ANR: 7539\nLYP to GSM: 2279\nLYP to GRW: 9674\nGSM to AEP: 14026\nGSM to ANR: 5729\nGSM to GRW: 7742\nANR to AEP: 11533\nANR to GRW: 3348\nGRW to AEP: 10129\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 62824,
"style": "rule"
}
|
{
"exact_answer": 62824,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"FBM\", \"id\": 0}, {\"name\": \"PWQ\", \"id\": 1}, {\"name\": \"YIC\", \"id\": 2}, {\"name\": \"HOI\", \"id\": 3}, {\"name\": \"LYP\", \"id\": 4}, {\"name\": \"GSM\", \"id\": 5}, {\"name\": \"ANR\", \"id\": 6}, {\"name\": \"GRW\", \"id\": 7}, {\"name\": \"AEP\", \"id\": 8}], \"links\": [{\"weight\": 10275, \"source\": 0, \"target\": 8}, {\"weight\": 10408, \"source\": 0, \"target\": 2}, {\"weight\": 8572, \"source\": 0, \"target\": 6}, {\"weight\": 5274, \"source\": 0, \"target\": 5}, {\"weight\": 7065, \"source\": 0, \"target\": 4}, {\"weight\": 8897, \"source\": 0, \"target\": 1}, {\"weight\": 8658, \"source\": 0, \"target\": 7}, {\"weight\": 19686, \"source\": 0, \"target\": 3}, {\"weight\": 16046, \"source\": 1, \"target\": 8}, {\"weight\": 5634, \"source\": 1, \"target\": 2}, {\"weight\": 5387, \"source\": 1, \"target\": 6}, {\"weight\": 3817, \"source\": 1, \"target\": 5}, {\"weight\": 4531, \"source\": 1, \"target\": 4}, {\"weight\": 7852, \"source\": 1, \"target\": 7}, {\"weight\": 16749, \"source\": 1, \"target\": 3}, {\"weight\": 19788, \"source\": 2, \"target\": 8}, {\"weight\": 9813, \"source\": 2, \"target\": 6}, {\"weight\": 6110, \"source\": 2, \"target\": 5}, {\"weight\": 5706, \"source\": 2, \"target\": 4}, {\"weight\": 12237, \"source\": 2, \"target\": 7}, {\"weight\": 13290, \"source\": 2, \"target\": 3}, {\"weight\": 10064, \"source\": 3, \"target\": 8}, {\"weight\": 16821, \"source\": 3, \"target\": 6}, {\"weight\": 18514, \"source\": 3, \"target\": 5}, {\"weight\": 18255, \"source\": 3, \"target\": 4}, {\"weight\": 15788, \"source\": 3, \"target\": 7}, {\"weight\": 15957, \"source\": 4, \"target\": 8}, {\"weight\": 7539, \"source\": 4, \"target\": 6}, {\"weight\": 2279, \"source\": 4, \"target\": 5}, {\"weight\": 9674, \"source\": 4, \"target\": 7}, {\"weight\": 14026, \"source\": 5, \"target\": 8}, {\"weight\": 5729, \"source\": 5, \"target\": 6}, {\"weight\": 7742, \"source\": 5, \"target\": 7}, {\"weight\": 11533, \"source\": 6, \"target\": 8}, {\"weight\": 3348, \"source\": 6, \"target\": 7}, {\"weight\": 10129, \"source\": 7, \"target\": 8}]}",
"id": 2219,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: FBM, PWQ, YIC, HOI, LYP, GSM, ANR, GRW, AEP\n- Travel distances (in kilometers) between each pair of airports:\nFBM to AEP: 10275\nFBM to YIC: 10408\nFBM to ANR: 8572\nFBM to GSM: 5274\nFBM to LYP: 7065\nFBM to PWQ: 8897\nFBM to GRW: 8658\nFBM to HOI: 19686\nPWQ to AEP: 16046\nPWQ to YIC: 5634\nPWQ to ANR: 5387\nPWQ to GSM: 3817\nPWQ to LYP: 4531\nPWQ to GRW: 7852\nPWQ to HOI: 16749\nYIC to AEP: 19788\nYIC to ANR: 9813\nYIC to GSM: 6110\nYIC to LYP: 5706\nYIC to GRW: 12237\nYIC to HOI: 13290\nHOI to AEP: 10064\nHOI to ANR: 16821\nHOI to GSM: 18514\nHOI to LYP: 18255\nHOI to GRW: 15788\nLYP to AEP: 15957\nLYP to ANR: 7539\nLYP to GSM: 2279\nLYP to GRW: 9674\nGSM to AEP: 14026\nGSM to ANR: 5729\nGSM to GRW: 7742\nANR to AEP: 11533\nANR to GRW: 3348\nGRW to AEP: 10129\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: VSA, VRN, BSG, CPO, BCD, LMM, CGM, PHX, CIH\n- Travel distances (in kilometers) between each pair of airports:\nVSA to VRN: 9672\nVSA to BCD: 15267\nVSA to CGM: 15288\nVSA to PHX: 2694\nVSA to LMM: 1917\nVSA to BSG: 12436\nVSA to CIH: 13435\nVSA to CPO: 6598\nVRN to BCD: 10924\nVRN to CGM: 11154\nVRN to PHX: 9555\nVRN to LMM: 10471\nVRN to BSG: 5340\nVRN to CIH: 8376\nVRN to CPO: 12534\nBSG to BCD: 13032\nBSG to CGM: 13263\nBSG to PHX: 12813\nBSG to LMM: 13128\nBSG to CIH: 11659\nBSG to CPO: 10510\nCPO to BCD: 18216\nCPO to CGM: 18237\nCPO to PHX: 8457\nCPO to LMM: 7680\nCPO to CIH: 19337\nBCD to CGM: 261\nBCD to PHX: 12672\nBCD to LMM: 13432\nBCD to CIH: 3018\nLMM to CGM: 13453\nLMM to PHX: 916\nLMM to CIH: 11865\nCGM to PHX: 12693\nCGM to CIH: 3249\nPHX to CIH: 10982\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 49629,
"style": "rule"
}
|
{
"exact_answer": 49629,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"VSA\", \"id\": 0}, {\"name\": \"VRN\", \"id\": 1}, {\"name\": \"BSG\", \"id\": 2}, {\"name\": \"CPO\", \"id\": 3}, {\"name\": \"BCD\", \"id\": 4}, {\"name\": \"LMM\", \"id\": 5}, {\"name\": \"CGM\", \"id\": 6}, {\"name\": \"PHX\", \"id\": 7}, {\"name\": \"CIH\", \"id\": 8}], \"links\": [{\"weight\": 9672, \"source\": 0, \"target\": 1}, {\"weight\": 15267, \"source\": 0, \"target\": 4}, {\"weight\": 15288, \"source\": 0, \"target\": 6}, {\"weight\": 2694, \"source\": 0, \"target\": 7}, {\"weight\": 1917, \"source\": 0, \"target\": 5}, {\"weight\": 12436, \"source\": 0, \"target\": 2}, {\"weight\": 13435, \"source\": 0, \"target\": 8}, {\"weight\": 6598, \"source\": 0, \"target\": 3}, {\"weight\": 10924, \"source\": 1, \"target\": 4}, {\"weight\": 11154, \"source\": 1, \"target\": 6}, {\"weight\": 9555, \"source\": 1, \"target\": 7}, {\"weight\": 10471, \"source\": 1, \"target\": 5}, {\"weight\": 5340, \"source\": 1, \"target\": 2}, {\"weight\": 8376, \"source\": 1, \"target\": 8}, {\"weight\": 12534, \"source\": 1, \"target\": 3}, {\"weight\": 13032, \"source\": 2, \"target\": 4}, {\"weight\": 13263, \"source\": 2, \"target\": 6}, {\"weight\": 12813, \"source\": 2, \"target\": 7}, {\"weight\": 13128, \"source\": 2, \"target\": 5}, {\"weight\": 11659, \"source\": 2, \"target\": 8}, {\"weight\": 10510, \"source\": 2, \"target\": 3}, {\"weight\": 18216, \"source\": 3, \"target\": 4}, {\"weight\": 18237, \"source\": 3, \"target\": 6}, {\"weight\": 8457, \"source\": 3, \"target\": 7}, {\"weight\": 7680, \"source\": 3, \"target\": 5}, {\"weight\": 19337, \"source\": 3, \"target\": 8}, {\"weight\": 261, \"source\": 4, \"target\": 6}, {\"weight\": 12672, \"source\": 4, \"target\": 7}, {\"weight\": 13432, \"source\": 4, \"target\": 5}, {\"weight\": 3018, \"source\": 4, \"target\": 8}, {\"weight\": 13453, \"source\": 5, \"target\": 6}, {\"weight\": 916, \"source\": 5, \"target\": 7}, {\"weight\": 11865, \"source\": 5, \"target\": 8}, {\"weight\": 12693, \"source\": 6, \"target\": 7}, {\"weight\": 3249, \"source\": 6, \"target\": 8}, {\"weight\": 10982, \"source\": 7, \"target\": 8}]}",
"id": 2220,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: VSA, VRN, BSG, CPO, BCD, LMM, CGM, PHX, CIH\n- Travel distances (in kilometers) between each pair of airports:\nVSA to VRN: 9672\nVSA to BCD: 15267\nVSA to CGM: 15288\nVSA to PHX: 2694\nVSA to LMM: 1917\nVSA to BSG: 12436\nVSA to CIH: 13435\nVSA to CPO: 6598\nVRN to BCD: 10924\nVRN to CGM: 11154\nVRN to PHX: 9555\nVRN to LMM: 10471\nVRN to BSG: 5340\nVRN to CIH: 8376\nVRN to CPO: 12534\nBSG to BCD: 13032\nBSG to CGM: 13263\nBSG to PHX: 12813\nBSG to LMM: 13128\nBSG to CIH: 11659\nBSG to CPO: 10510\nCPO to BCD: 18216\nCPO to CGM: 18237\nCPO to PHX: 8457\nCPO to LMM: 7680\nCPO to CIH: 19337\nBCD to CGM: 261\nBCD to PHX: 12672\nBCD to LMM: 13432\nBCD to CIH: 3018\nLMM to CGM: 13453\nLMM to PHX: 916\nLMM to CIH: 11865\nCGM to PHX: 12693\nCGM to CIH: 3249\nPHX to CIH: 10982\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BZG, PIR, BNI, SEA, BJF, CLJ, PUF, SHB, HFS\n- Travel distances (in kilometers) between each pair of airports:\nBZG to PUF: 2477\nBZG to SEA: 8900\nBZG to CLJ: 2987\nBZG to PIR: 8516\nBZG to SHB: 10974\nBZG to HFS: 2851\nBZG to BNI: 6590\nBZG to BJF: 3846\nPIR to PUF: 8003\nPIR to SEA: 2263\nPIR to CLJ: 8737\nPIR to SHB: 10962\nPIR to HFS: 8199\nPIR to BNI: 10912\nPIR to BJF: 8660\nBNI to PUF: 4909\nBNI to SEA: 12584\nBNI to CLJ: 5230\nBNI to SHB: 13595\nBNI to HFS: 6388\nBNI to BJF: 7526\nSEA to PUF: 8700\nSEA to CLJ: 9322\nSEA to SHB: 8707\nSEA to HFS: 8198\nSEA to BJF: 8650\nBJF to PUF: 3487\nBJF to CLJ: 3388\nBJF to SHB: 9710\nBJF to HFS: 1793\nCLJ to PUF: 1971\nCLJ to SHB: 9189\nCLJ to HFS: 2085\nPUF to SHB: 10399\nPUF to HFS: 2449\nSHB to HFS: 8656\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 45690,
"style": "rule"
}
|
{
"exact_answer": 45690,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"BZG\", \"id\": 0}, {\"name\": \"PIR\", \"id\": 1}, {\"name\": \"BNI\", \"id\": 2}, {\"name\": \"SEA\", \"id\": 3}, {\"name\": \"BJF\", \"id\": 4}, {\"name\": \"CLJ\", \"id\": 5}, {\"name\": \"PUF\", \"id\": 6}, {\"name\": \"SHB\", \"id\": 7}, {\"name\": \"HFS\", \"id\": 8}], \"links\": [{\"weight\": 2477, \"source\": 0, \"target\": 6}, {\"weight\": 8900, \"source\": 0, \"target\": 3}, {\"weight\": 2987, \"source\": 0, \"target\": 5}, {\"weight\": 8516, \"source\": 0, \"target\": 1}, {\"weight\": 10974, \"source\": 0, \"target\": 7}, {\"weight\": 2851, \"source\": 0, \"target\": 8}, {\"weight\": 6590, \"source\": 0, \"target\": 2}, {\"weight\": 3846, \"source\": 0, \"target\": 4}, {\"weight\": 8003, \"source\": 1, \"target\": 6}, {\"weight\": 2263, \"source\": 1, \"target\": 3}, {\"weight\": 8737, \"source\": 1, \"target\": 5}, {\"weight\": 10962, \"source\": 1, \"target\": 7}, {\"weight\": 8199, \"source\": 1, \"target\": 8}, {\"weight\": 10912, \"source\": 1, \"target\": 2}, {\"weight\": 8660, \"source\": 1, \"target\": 4}, {\"weight\": 4909, \"source\": 2, \"target\": 6}, {\"weight\": 12584, \"source\": 2, \"target\": 3}, {\"weight\": 5230, \"source\": 2, \"target\": 5}, {\"weight\": 13595, \"source\": 2, \"target\": 7}, {\"weight\": 6388, \"source\": 2, \"target\": 8}, {\"weight\": 7526, \"source\": 2, \"target\": 4}, {\"weight\": 8700, \"source\": 3, \"target\": 6}, {\"weight\": 9322, \"source\": 3, \"target\": 5}, {\"weight\": 8707, \"source\": 3, \"target\": 7}, {\"weight\": 8198, \"source\": 3, \"target\": 8}, {\"weight\": 8650, \"source\": 3, \"target\": 4}, {\"weight\": 3487, \"source\": 4, \"target\": 6}, {\"weight\": 3388, \"source\": 4, \"target\": 5}, {\"weight\": 9710, \"source\": 4, \"target\": 7}, {\"weight\": 1793, \"source\": 4, \"target\": 8}, {\"weight\": 1971, \"source\": 5, \"target\": 6}, {\"weight\": 9189, \"source\": 5, \"target\": 7}, {\"weight\": 2085, \"source\": 5, \"target\": 8}, {\"weight\": 10399, \"source\": 6, \"target\": 7}, {\"weight\": 2449, \"source\": 6, \"target\": 8}, {\"weight\": 8656, \"source\": 7, \"target\": 8}]}",
"id": 2221,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BZG, PIR, BNI, SEA, BJF, CLJ, PUF, SHB, HFS\n- Travel distances (in kilometers) between each pair of airports:\nBZG to PUF: 2477\nBZG to SEA: 8900\nBZG to CLJ: 2987\nBZG to PIR: 8516\nBZG to SHB: 10974\nBZG to HFS: 2851\nBZG to BNI: 6590\nBZG to BJF: 3846\nPIR to PUF: 8003\nPIR to SEA: 2263\nPIR to CLJ: 8737\nPIR to SHB: 10962\nPIR to HFS: 8199\nPIR to BNI: 10912\nPIR to BJF: 8660\nBNI to PUF: 4909\nBNI to SEA: 12584\nBNI to CLJ: 5230\nBNI to SHB: 13595\nBNI to HFS: 6388\nBNI to BJF: 7526\nSEA to PUF: 8700\nSEA to CLJ: 9322\nSEA to SHB: 8707\nSEA to HFS: 8198\nSEA to BJF: 8650\nBJF to PUF: 3487\nBJF to CLJ: 3388\nBJF to SHB: 9710\nBJF to HFS: 1793\nCLJ to PUF: 1971\nCLJ to SHB: 9189\nCLJ to HFS: 2085\nPUF to SHB: 10399\nPUF to HFS: 2449\nSHB to HFS: 8656\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: QOQ, WNN, CGN, WUX, ALF, LNS, CMX, RTW, IQT\n- Travel distances (in kilometers) between each pair of airports:\nQOQ to IQT: 11186\nQOQ to CGN: 4207\nQOQ to WUX: 11707\nQOQ to RTW: 6008\nQOQ to ALF: 4521\nQOQ to LNS: 6599\nQOQ to CMX: 7389\nQOQ to WNN: 7649\nWNN to IQT: 6966\nWNN to CGN: 7748\nWNN to WUX: 11772\nWNN to RTW: 9775\nWNN to ALF: 8288\nWNN to LNS: 2258\nWNN to CMX: 2462\nCGN to IQT: 10578\nCGN to WUX: 8834\nCGN to RTW: 2730\nCGN to ALF: 2290\nCGN to LNS: 6583\nCGN to CMX: 7416\nWUX to IQT: 16767\nWUX to RTW: 6495\nWUX to ALF: 8797\nWUX to LNS: 12291\nWUX to CMX: 12154\nALF to IQT: 11825\nALF to RTW: 2928\nALF to LNS: 7238\nALF to CMX: 8028\nLNS to IQT: 5071\nLNS to RTW: 8725\nLNS to CMX: 1687\nCMX to IQT: 5911\nCMX to RTW: 9454\nRTW to IQT: 13151\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 47735,
"style": "rule"
}
|
{
"exact_answer": 47735,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"QOQ\", \"id\": 0}, {\"name\": \"WNN\", \"id\": 1}, {\"name\": \"CGN\", \"id\": 2}, {\"name\": \"WUX\", \"id\": 3}, {\"name\": \"ALF\", \"id\": 4}, {\"name\": \"LNS\", \"id\": 5}, {\"name\": \"CMX\", \"id\": 6}, {\"name\": \"RTW\", \"id\": 7}, {\"name\": \"IQT\", \"id\": 8}], \"links\": [{\"weight\": 11186, \"source\": 0, \"target\": 8}, {\"weight\": 4207, \"source\": 0, \"target\": 2}, {\"weight\": 11707, \"source\": 0, \"target\": 3}, {\"weight\": 6008, \"source\": 0, \"target\": 7}, {\"weight\": 4521, \"source\": 0, \"target\": 4}, {\"weight\": 6599, \"source\": 0, \"target\": 5}, {\"weight\": 7389, \"source\": 0, \"target\": 6}, {\"weight\": 7649, \"source\": 0, \"target\": 1}, {\"weight\": 6966, \"source\": 1, \"target\": 8}, {\"weight\": 7748, \"source\": 1, \"target\": 2}, {\"weight\": 11772, \"source\": 1, \"target\": 3}, {\"weight\": 9775, \"source\": 1, \"target\": 7}, {\"weight\": 8288, \"source\": 1, \"target\": 4}, {\"weight\": 2258, \"source\": 1, \"target\": 5}, {\"weight\": 2462, \"source\": 1, \"target\": 6}, {\"weight\": 10578, \"source\": 2, \"target\": 8}, {\"weight\": 8834, \"source\": 2, \"target\": 3}, {\"weight\": 2730, \"source\": 2, \"target\": 7}, {\"weight\": 2290, \"source\": 2, \"target\": 4}, {\"weight\": 6583, \"source\": 2, \"target\": 5}, {\"weight\": 7416, \"source\": 2, \"target\": 6}, {\"weight\": 16767, \"source\": 3, \"target\": 8}, {\"weight\": 6495, \"source\": 3, \"target\": 7}, {\"weight\": 8797, \"source\": 3, \"target\": 4}, {\"weight\": 12291, \"source\": 3, \"target\": 5}, {\"weight\": 12154, \"source\": 3, \"target\": 6}, {\"weight\": 11825, \"source\": 4, \"target\": 8}, {\"weight\": 2928, \"source\": 4, \"target\": 7}, {\"weight\": 7238, \"source\": 4, \"target\": 5}, {\"weight\": 8028, \"source\": 4, \"target\": 6}, {\"weight\": 5071, \"source\": 5, \"target\": 8}, {\"weight\": 8725, \"source\": 5, \"target\": 7}, {\"weight\": 1687, \"source\": 5, \"target\": 6}, {\"weight\": 5911, \"source\": 6, \"target\": 8}, {\"weight\": 9454, \"source\": 6, \"target\": 7}, {\"weight\": 13151, \"source\": 7, \"target\": 8}]}",
"id": 2222,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: QOQ, WNN, CGN, WUX, ALF, LNS, CMX, RTW, IQT\n- Travel distances (in kilometers) between each pair of airports:\nQOQ to IQT: 11186\nQOQ to CGN: 4207\nQOQ to WUX: 11707\nQOQ to RTW: 6008\nQOQ to ALF: 4521\nQOQ to LNS: 6599\nQOQ to CMX: 7389\nQOQ to WNN: 7649\nWNN to IQT: 6966\nWNN to CGN: 7748\nWNN to WUX: 11772\nWNN to RTW: 9775\nWNN to ALF: 8288\nWNN to LNS: 2258\nWNN to CMX: 2462\nCGN to IQT: 10578\nCGN to WUX: 8834\nCGN to RTW: 2730\nCGN to ALF: 2290\nCGN to LNS: 6583\nCGN to CMX: 7416\nWUX to IQT: 16767\nWUX to RTW: 6495\nWUX to ALF: 8797\nWUX to LNS: 12291\nWUX to CMX: 12154\nALF to IQT: 11825\nALF to RTW: 2928\nALF to LNS: 7238\nALF to CMX: 8028\nLNS to IQT: 5071\nLNS to RTW: 8725\nLNS to CMX: 1687\nCMX to IQT: 5911\nCMX to RTW: 9454\nRTW to IQT: 13151\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CLY, LJA, MHD, YUB, RNO, IJK, CNM, ILD, YXS\n- Travel distances (in kilometers) between each pair of airports:\nCLY to YUB: 10292\nCLY to IJK: 3581\nCLY to YXS: 8873\nCLY to RNO: 9698\nCLY to MHD: 4686\nCLY to LJA: 7104\nCLY to ILD: 1091\nCLY to CNM: 9589\nLJA to YUB: 15933\nLJA to IJK: 8849\nLJA to YXS: 14984\nLJA to RNO: 15043\nLJA to MHD: 7586\nLJA to ILD: 6703\nLJA to CNM: 14474\nMHD to YUB: 14037\nMHD to IJK: 3404\nMHD to YXS: 12618\nMHD to RNO: 13565\nMHD to ILD: 5249\nMHD to CNM: 13505\nYUB to IJK: 11319\nYUB to YXS: 3119\nYUB to RNO: 4073\nYUB to ILD: 10692\nYUB to CNM: 4792\nRNO to IJK: 10847\nRNO to YXS: 1634\nRNO to ILD: 10194\nRNO to CNM: 1706\nIJK to YXS: 9900\nIJK to ILD: 4404\nIJK to CNM: 10787\nCNM to YXS: 2967\nCNM to ILD: 9761\nILD to YXS: 9273\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 46151,
"style": "rule"
}
|
{
"exact_answer": 46151,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"CLY\", \"id\": 0}, {\"name\": \"LJA\", \"id\": 1}, {\"name\": \"MHD\", \"id\": 2}, {\"name\": \"YUB\", \"id\": 3}, {\"name\": \"RNO\", \"id\": 4}, {\"name\": \"IJK\", \"id\": 5}, {\"name\": \"CNM\", \"id\": 6}, {\"name\": \"ILD\", \"id\": 7}, {\"name\": \"YXS\", \"id\": 8}], \"links\": [{\"weight\": 10292, \"source\": 0, \"target\": 3}, {\"weight\": 3581, \"source\": 0, \"target\": 5}, {\"weight\": 8873, \"source\": 0, \"target\": 8}, {\"weight\": 9698, \"source\": 0, \"target\": 4}, {\"weight\": 4686, \"source\": 0, \"target\": 2}, {\"weight\": 7104, \"source\": 0, \"target\": 1}, {\"weight\": 1091, \"source\": 0, \"target\": 7}, {\"weight\": 9589, \"source\": 0, \"target\": 6}, {\"weight\": 15933, \"source\": 1, \"target\": 3}, {\"weight\": 8849, \"source\": 1, \"target\": 5}, {\"weight\": 14984, \"source\": 1, \"target\": 8}, {\"weight\": 15043, \"source\": 1, \"target\": 4}, {\"weight\": 7586, \"source\": 1, \"target\": 2}, {\"weight\": 6703, \"source\": 1, \"target\": 7}, {\"weight\": 14474, \"source\": 1, \"target\": 6}, {\"weight\": 14037, \"source\": 2, \"target\": 3}, {\"weight\": 3404, \"source\": 2, \"target\": 5}, {\"weight\": 12618, \"source\": 2, \"target\": 8}, {\"weight\": 13565, \"source\": 2, \"target\": 4}, {\"weight\": 5249, \"source\": 2, \"target\": 7}, {\"weight\": 13505, \"source\": 2, \"target\": 6}, {\"weight\": 11319, \"source\": 3, \"target\": 5}, {\"weight\": 3119, \"source\": 3, \"target\": 8}, {\"weight\": 4073, \"source\": 3, \"target\": 4}, {\"weight\": 10692, \"source\": 3, \"target\": 7}, {\"weight\": 4792, \"source\": 3, \"target\": 6}, {\"weight\": 10847, \"source\": 4, \"target\": 5}, {\"weight\": 1634, \"source\": 4, \"target\": 8}, {\"weight\": 10194, \"source\": 4, \"target\": 7}, {\"weight\": 1706, \"source\": 4, \"target\": 6}, {\"weight\": 9900, \"source\": 5, \"target\": 8}, {\"weight\": 4404, \"source\": 5, \"target\": 7}, {\"weight\": 10787, \"source\": 5, \"target\": 6}, {\"weight\": 2967, \"source\": 6, \"target\": 8}, {\"weight\": 9761, \"source\": 6, \"target\": 7}, {\"weight\": 9273, \"source\": 7, \"target\": 8}]}",
"id": 2223,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CLY, LJA, MHD, YUB, RNO, IJK, CNM, ILD, YXS\n- Travel distances (in kilometers) between each pair of airports:\nCLY to YUB: 10292\nCLY to IJK: 3581\nCLY to YXS: 8873\nCLY to RNO: 9698\nCLY to MHD: 4686\nCLY to LJA: 7104\nCLY to ILD: 1091\nCLY to CNM: 9589\nLJA to YUB: 15933\nLJA to IJK: 8849\nLJA to YXS: 14984\nLJA to RNO: 15043\nLJA to MHD: 7586\nLJA to ILD: 6703\nLJA to CNM: 14474\nMHD to YUB: 14037\nMHD to IJK: 3404\nMHD to YXS: 12618\nMHD to RNO: 13565\nMHD to ILD: 5249\nMHD to CNM: 13505\nYUB to IJK: 11319\nYUB to YXS: 3119\nYUB to RNO: 4073\nYUB to ILD: 10692\nYUB to CNM: 4792\nRNO to IJK: 10847\nRNO to YXS: 1634\nRNO to ILD: 10194\nRNO to CNM: 1706\nIJK to YXS: 9900\nIJK to ILD: 4404\nIJK to CNM: 10787\nCNM to YXS: 2967\nCNM to ILD: 9761\nILD to YXS: 9273\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: KZN, BWK, BLQ, HKN, SMK, JGN, KGC, YPH, HRE\n- Travel distances (in kilometers) between each pair of airports:\nKZN to YPH: 9382\nKZN to BLQ: 2950\nKZN to JGN: 5499\nKZN to SMK: 12802\nKZN to HRE: 8633\nKZN to HKN: 12138\nKZN to BWK: 2887\nKZN to KGC: 13240\nBWK to YPH: 7776\nBWK to BLQ: 674\nBWK to JGN: 8133\nBWK to SMK: 12240\nBWK to HRE: 7980\nBWK to HKN: 14883\nBWK to KGC: 15572\nBLQ to YPH: 7296\nBLQ to JGN: 8217\nBLQ to SMK: 11861\nBLQ to HRE: 7901\nBLQ to HKN: 14908\nBLQ to KGC: 15619\nHKN to YPH: 16578\nHKN to JGN: 8077\nHKN to SMK: 14240\nHKN to HRE: 14104\nHKN to KGC: 3663\nSMK to YPH: 6749\nSMK to JGN: 13316\nSMK to HRE: 19074\nSMK to KGC: 14478\nJGN to YPH: 13761\nJGN to HRE: 10689\nJGN to KGC: 9450\nKGC to YPH: 17314\nKGC to HRE: 11507\nYPH to HRE: 14416\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 62802,
"style": "rule"
}
|
{
"exact_answer": 62802,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"KZN\", \"id\": 0}, {\"name\": \"BWK\", \"id\": 1}, {\"name\": \"BLQ\", \"id\": 2}, {\"name\": \"HKN\", \"id\": 3}, {\"name\": \"SMK\", \"id\": 4}, {\"name\": \"JGN\", \"id\": 5}, {\"name\": \"KGC\", \"id\": 6}, {\"name\": \"YPH\", \"id\": 7}, {\"name\": \"HRE\", \"id\": 8}], \"links\": [{\"weight\": 9382, \"source\": 0, \"target\": 7}, {\"weight\": 2950, \"source\": 0, \"target\": 2}, {\"weight\": 5499, \"source\": 0, \"target\": 5}, {\"weight\": 12802, \"source\": 0, \"target\": 4}, {\"weight\": 8633, \"source\": 0, \"target\": 8}, {\"weight\": 12138, \"source\": 0, \"target\": 3}, {\"weight\": 2887, \"source\": 0, \"target\": 1}, {\"weight\": 13240, \"source\": 0, \"target\": 6}, {\"weight\": 7776, \"source\": 1, \"target\": 7}, {\"weight\": 674, \"source\": 1, \"target\": 2}, {\"weight\": 8133, \"source\": 1, \"target\": 5}, {\"weight\": 12240, \"source\": 1, \"target\": 4}, {\"weight\": 7980, \"source\": 1, \"target\": 8}, {\"weight\": 14883, \"source\": 1, \"target\": 3}, {\"weight\": 15572, \"source\": 1, \"target\": 6}, {\"weight\": 7296, \"source\": 2, \"target\": 7}, {\"weight\": 8217, \"source\": 2, \"target\": 5}, {\"weight\": 11861, \"source\": 2, \"target\": 4}, {\"weight\": 7901, \"source\": 2, \"target\": 8}, {\"weight\": 14908, \"source\": 2, \"target\": 3}, {\"weight\": 15619, \"source\": 2, \"target\": 6}, {\"weight\": 16578, \"source\": 3, \"target\": 7}, {\"weight\": 8077, \"source\": 3, \"target\": 5}, {\"weight\": 14240, \"source\": 3, \"target\": 4}, {\"weight\": 14104, \"source\": 3, \"target\": 8}, {\"weight\": 3663, \"source\": 3, \"target\": 6}, {\"weight\": 6749, \"source\": 4, \"target\": 7}, {\"weight\": 13316, \"source\": 4, \"target\": 5}, {\"weight\": 19074, \"source\": 4, \"target\": 8}, {\"weight\": 14478, \"source\": 4, \"target\": 6}, {\"weight\": 13761, \"source\": 5, \"target\": 7}, {\"weight\": 10689, \"source\": 5, \"target\": 8}, {\"weight\": 9450, \"source\": 5, \"target\": 6}, {\"weight\": 17314, \"source\": 6, \"target\": 7}, {\"weight\": 11507, \"source\": 6, \"target\": 8}, {\"weight\": 14416, \"source\": 7, \"target\": 8}]}",
"id": 2224,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: KZN, BWK, BLQ, HKN, SMK, JGN, KGC, YPH, HRE\n- Travel distances (in kilometers) between each pair of airports:\nKZN to YPH: 9382\nKZN to BLQ: 2950\nKZN to JGN: 5499\nKZN to SMK: 12802\nKZN to HRE: 8633\nKZN to HKN: 12138\nKZN to BWK: 2887\nKZN to KGC: 13240\nBWK to YPH: 7776\nBWK to BLQ: 674\nBWK to JGN: 8133\nBWK to SMK: 12240\nBWK to HRE: 7980\nBWK to HKN: 14883\nBWK to KGC: 15572\nBLQ to YPH: 7296\nBLQ to JGN: 8217\nBLQ to SMK: 11861\nBLQ to HRE: 7901\nBLQ to HKN: 14908\nBLQ to KGC: 15619\nHKN to YPH: 16578\nHKN to JGN: 8077\nHKN to SMK: 14240\nHKN to HRE: 14104\nHKN to KGC: 3663\nSMK to YPH: 6749\nSMK to JGN: 13316\nSMK to HRE: 19074\nSMK to KGC: 14478\nJGN to YPH: 13761\nJGN to HRE: 10689\nJGN to KGC: 9450\nKGC to YPH: 17314\nKGC to HRE: 11507\nYPH to HRE: 14416\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: DJB, TUO, SBW, EKS, JAI, ANC, PBD, LZO, BXB\n- Travel distances (in kilometers) between each pair of airports:\nDJB to JAI: 4862\nDJB to ANC: 16000\nDJB to PBD: 4932\nDJB to SBW: 1324\nDJB to LZO: 3646\nDJB to EKS: 7358\nDJB to BXB: 3708\nDJB to TUO: 8500\nTUO to JAI: 12771\nTUO to ANC: 11785\nTUO to PBD: 12988\nTUO to SBW: 8659\nTUO to LZO: 10523\nTUO to EKS: 10568\nTUO to BXB: 9315\nSBW to JAI: 5134\nSBW to ANC: 14683\nSBW to PBD: 5204\nSBW to LZO: 3571\nSBW to EKS: 6128\nSBW to BXB: 3426\nEKS to JAI: 6553\nEKS to ANC: 11224\nEKS to PBD: 7697\nEKS to LZO: 4125\nEKS to BXB: 8468\nJAI to ANC: 15044\nJAI to PBD: 1348\nJAI to LZO: 3305\nJAI to BXB: 7640\nANC to PBD: 16228\nANC to LZO: 12616\nANC to BXB: 17023\nPBD to LZO: 4082\nPBD to BXB: 7739\nLZO to BXB: 5895\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 50784,
"style": "rule"
}
|
{
"exact_answer": 50784,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"DJB\", \"id\": 0}, {\"name\": \"TUO\", \"id\": 1}, {\"name\": \"SBW\", \"id\": 2}, {\"name\": \"EKS\", \"id\": 3}, {\"name\": \"JAI\", \"id\": 4}, {\"name\": \"ANC\", \"id\": 5}, {\"name\": \"PBD\", \"id\": 6}, {\"name\": \"LZO\", \"id\": 7}, {\"name\": \"BXB\", \"id\": 8}], \"links\": [{\"weight\": 4862, \"source\": 0, \"target\": 4}, {\"weight\": 16000, \"source\": 0, \"target\": 5}, {\"weight\": 4932, \"source\": 0, \"target\": 6}, {\"weight\": 1324, \"source\": 0, \"target\": 2}, {\"weight\": 3646, \"source\": 0, \"target\": 7}, {\"weight\": 7358, \"source\": 0, \"target\": 3}, {\"weight\": 3708, \"source\": 0, \"target\": 8}, {\"weight\": 8500, \"source\": 0, \"target\": 1}, {\"weight\": 12771, \"source\": 1, \"target\": 4}, {\"weight\": 11785, \"source\": 1, \"target\": 5}, {\"weight\": 12988, \"source\": 1, \"target\": 6}, {\"weight\": 8659, \"source\": 1, \"target\": 2}, {\"weight\": 10523, \"source\": 1, \"target\": 7}, {\"weight\": 10568, \"source\": 1, \"target\": 3}, {\"weight\": 9315, \"source\": 1, \"target\": 8}, {\"weight\": 5134, \"source\": 2, \"target\": 4}, {\"weight\": 14683, \"source\": 2, \"target\": 5}, {\"weight\": 5204, \"source\": 2, \"target\": 6}, {\"weight\": 3571, \"source\": 2, \"target\": 7}, {\"weight\": 6128, \"source\": 2, \"target\": 3}, {\"weight\": 3426, \"source\": 2, \"target\": 8}, {\"weight\": 6553, \"source\": 3, \"target\": 4}, {\"weight\": 11224, \"source\": 3, \"target\": 5}, {\"weight\": 7697, \"source\": 3, \"target\": 6}, {\"weight\": 4125, \"source\": 3, \"target\": 7}, {\"weight\": 8468, \"source\": 3, \"target\": 8}, {\"weight\": 15044, \"source\": 4, \"target\": 5}, {\"weight\": 1348, \"source\": 4, \"target\": 6}, {\"weight\": 3305, \"source\": 4, \"target\": 7}, {\"weight\": 7640, \"source\": 4, \"target\": 8}, {\"weight\": 16228, \"source\": 5, \"target\": 6}, {\"weight\": 12616, \"source\": 5, \"target\": 7}, {\"weight\": 17023, \"source\": 5, \"target\": 8}, {\"weight\": 4082, \"source\": 6, \"target\": 7}, {\"weight\": 7739, \"source\": 6, \"target\": 8}, {\"weight\": 5895, \"source\": 7, \"target\": 8}]}",
"id": 2225,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: DJB, TUO, SBW, EKS, JAI, ANC, PBD, LZO, BXB\n- Travel distances (in kilometers) between each pair of airports:\nDJB to JAI: 4862\nDJB to ANC: 16000\nDJB to PBD: 4932\nDJB to SBW: 1324\nDJB to LZO: 3646\nDJB to EKS: 7358\nDJB to BXB: 3708\nDJB to TUO: 8500\nTUO to JAI: 12771\nTUO to ANC: 11785\nTUO to PBD: 12988\nTUO to SBW: 8659\nTUO to LZO: 10523\nTUO to EKS: 10568\nTUO to BXB: 9315\nSBW to JAI: 5134\nSBW to ANC: 14683\nSBW to PBD: 5204\nSBW to LZO: 3571\nSBW to EKS: 6128\nSBW to BXB: 3426\nEKS to JAI: 6553\nEKS to ANC: 11224\nEKS to PBD: 7697\nEKS to LZO: 4125\nEKS to BXB: 8468\nJAI to ANC: 15044\nJAI to PBD: 1348\nJAI to LZO: 3305\nJAI to BXB: 7640\nANC to PBD: 16228\nANC to LZO: 12616\nANC to BXB: 17023\nPBD to LZO: 4082\nPBD to BXB: 7739\nLZO to BXB: 5895\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: NHV, LYG, DPS, GMB, NSI, ATA, ELQ, VFA, EGM\n- Travel distances (in kilometers) between each pair of airports:\nNHV to DPS: 11976\nNHV to NSI: 19325\nNHV to VFA: 19485\nNHV to LYG: 13081\nNHV to ELQ: 19854\nNHV to GMB: 21432\nNHV to EGM: 8107\nNHV to ATA: 12170\nLYG to DPS: 4867\nLYG to NSI: 11741\nLYG to VFA: 11911\nLYG to ELQ: 7421\nLYG to GMB: 9171\nLYG to EGM: 7830\nLYG to ATA: 17362\nDPS to NSI: 12279\nDPS to VFA: 11255\nDPS to ELQ: 8652\nDPS to GMB: 9897\nDPS to EGM: 5183\nDPS to ATA: 18724\nGMB to NSI: 3941\nGMB to VFA: 4139\nGMB to ELQ: 2583\nGMB to EGM: 14829\nGMB to ATA: 14210\nNSI to VFA: 4260\nNSI to ELQ: 4477\nNSI to EGM: 17327\nNSI to ATA: 11062\nATA to VFA: 12142\nATA to ELQ: 14460\nATA to EGM: 16193\nELQ to VFA: 5772\nELQ to EGM: 13596\nVFA to EGM: 15087\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 59792,
"style": "rule"
}
|
{
"exact_answer": 59792,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"NHV\", \"id\": 0}, {\"name\": \"LYG\", \"id\": 1}, {\"name\": \"DPS\", \"id\": 2}, {\"name\": \"GMB\", \"id\": 3}, {\"name\": \"NSI\", \"id\": 4}, {\"name\": \"ATA\", \"id\": 5}, {\"name\": \"ELQ\", \"id\": 6}, {\"name\": \"VFA\", \"id\": 7}, {\"name\": \"EGM\", \"id\": 8}], \"links\": [{\"weight\": 11976, \"source\": 0, \"target\": 2}, {\"weight\": 19325, \"source\": 0, \"target\": 4}, {\"weight\": 19485, \"source\": 0, \"target\": 7}, {\"weight\": 13081, \"source\": 0, \"target\": 1}, {\"weight\": 19854, \"source\": 0, \"target\": 6}, {\"weight\": 21432, \"source\": 0, \"target\": 3}, {\"weight\": 8107, \"source\": 0, \"target\": 8}, {\"weight\": 12170, \"source\": 0, \"target\": 5}, {\"weight\": 4867, \"source\": 1, \"target\": 2}, {\"weight\": 11741, \"source\": 1, \"target\": 4}, {\"weight\": 11911, \"source\": 1, \"target\": 7}, {\"weight\": 7421, \"source\": 1, \"target\": 6}, {\"weight\": 9171, \"source\": 1, \"target\": 3}, {\"weight\": 7830, \"source\": 1, \"target\": 8}, {\"weight\": 17362, \"source\": 1, \"target\": 5}, {\"weight\": 12279, \"source\": 2, \"target\": 4}, {\"weight\": 11255, \"source\": 2, \"target\": 7}, {\"weight\": 8652, \"source\": 2, \"target\": 6}, {\"weight\": 9897, \"source\": 2, \"target\": 3}, {\"weight\": 5183, \"source\": 2, \"target\": 8}, {\"weight\": 18724, \"source\": 2, \"target\": 5}, {\"weight\": 3941, \"source\": 3, \"target\": 4}, {\"weight\": 4139, \"source\": 3, \"target\": 7}, {\"weight\": 2583, \"source\": 3, \"target\": 6}, {\"weight\": 14829, \"source\": 3, \"target\": 8}, {\"weight\": 14210, \"source\": 3, \"target\": 5}, {\"weight\": 4260, \"source\": 4, \"target\": 7}, {\"weight\": 4477, \"source\": 4, \"target\": 6}, {\"weight\": 17327, \"source\": 4, \"target\": 8}, {\"weight\": 11062, \"source\": 4, \"target\": 5}, {\"weight\": 12142, \"source\": 5, \"target\": 7}, {\"weight\": 14460, \"source\": 5, \"target\": 6}, {\"weight\": 16193, \"source\": 5, \"target\": 8}, {\"weight\": 5772, \"source\": 6, \"target\": 7}, {\"weight\": 13596, \"source\": 6, \"target\": 8}, {\"weight\": 15087, \"source\": 7, \"target\": 8}]}",
"id": 2226,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: NHV, LYG, DPS, GMB, NSI, ATA, ELQ, VFA, EGM\n- Travel distances (in kilometers) between each pair of airports:\nNHV to DPS: 11976\nNHV to NSI: 19325\nNHV to VFA: 19485\nNHV to LYG: 13081\nNHV to ELQ: 19854\nNHV to GMB: 21432\nNHV to EGM: 8107\nNHV to ATA: 12170\nLYG to DPS: 4867\nLYG to NSI: 11741\nLYG to VFA: 11911\nLYG to ELQ: 7421\nLYG to GMB: 9171\nLYG to EGM: 7830\nLYG to ATA: 17362\nDPS to NSI: 12279\nDPS to VFA: 11255\nDPS to ELQ: 8652\nDPS to GMB: 9897\nDPS to EGM: 5183\nDPS to ATA: 18724\nGMB to NSI: 3941\nGMB to VFA: 4139\nGMB to ELQ: 2583\nGMB to EGM: 14829\nGMB to ATA: 14210\nNSI to VFA: 4260\nNSI to ELQ: 4477\nNSI to EGM: 17327\nNSI to ATA: 11062\nATA to VFA: 12142\nATA to ELQ: 14460\nATA to EGM: 16193\nELQ to VFA: 5772\nELQ to EGM: 13596\nVFA to EGM: 15087\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: VRA, KOJ, GRZ, JIU, BQB, UIB, CNY, IAN, TUA\n- Travel distances (in kilometers) between each pair of airports:\nVRA to GRZ: 8675\nVRA to IAN: 8128\nVRA to UIB: 2910\nVRA to KOJ: 13130\nVRA to JIU: 14013\nVRA to CNY: 4125\nVRA to TUA: 3164\nVRA to BQB: 19350\nKOJ to GRZ: 9137\nKOJ to IAN: 11944\nKOJ to UIB: 15423\nKOJ to JIU: 2123\nKOJ to CNY: 10043\nKOJ to TUA: 15494\nKOJ to BQB: 7789\nGRZ to IAN: 12103\nGRZ to UIB: 9930\nGRZ to JIU: 8754\nGRZ to CNY: 9437\nGRZ to TUA: 10491\nGRZ to BQB: 13614\nJIU to IAN: 13128\nJIU to UIB: 16373\nJIU to CNY: 11219\nJIU to TUA: 16631\nJIU to BQB: 7112\nBQB to IAN: 16807\nBQB to UIB: 19250\nBQB to CNY: 16467\nBQB to TUA: 18737\nUIB to IAN: 9986\nUIB to CNY: 5981\nUIB to TUA: 847\nCNY to IAN: 4680\nCNY to TUA: 6148\nIAN to TUA: 10154\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 57539,
"style": "rule"
}
|
{
"exact_answer": 57539,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"VRA\", \"id\": 0}, {\"name\": \"KOJ\", \"id\": 1}, {\"name\": \"GRZ\", \"id\": 2}, {\"name\": \"JIU\", \"id\": 3}, {\"name\": \"BQB\", \"id\": 4}, {\"name\": \"UIB\", \"id\": 5}, {\"name\": \"CNY\", \"id\": 6}, {\"name\": \"IAN\", \"id\": 7}, {\"name\": \"TUA\", \"id\": 8}], \"links\": [{\"weight\": 8675, \"source\": 0, \"target\": 2}, {\"weight\": 8128, \"source\": 0, \"target\": 7}, {\"weight\": 2910, \"source\": 0, \"target\": 5}, {\"weight\": 13130, \"source\": 0, \"target\": 1}, {\"weight\": 14013, \"source\": 0, \"target\": 3}, {\"weight\": 4125, \"source\": 0, \"target\": 6}, {\"weight\": 3164, \"source\": 0, \"target\": 8}, {\"weight\": 19350, \"source\": 0, \"target\": 4}, {\"weight\": 9137, \"source\": 1, \"target\": 2}, {\"weight\": 11944, \"source\": 1, \"target\": 7}, {\"weight\": 15423, \"source\": 1, \"target\": 5}, {\"weight\": 2123, \"source\": 1, \"target\": 3}, {\"weight\": 10043, \"source\": 1, \"target\": 6}, {\"weight\": 15494, \"source\": 1, \"target\": 8}, {\"weight\": 7789, \"source\": 1, \"target\": 4}, {\"weight\": 12103, \"source\": 2, \"target\": 7}, {\"weight\": 9930, \"source\": 2, \"target\": 5}, {\"weight\": 8754, \"source\": 2, \"target\": 3}, {\"weight\": 9437, \"source\": 2, \"target\": 6}, {\"weight\": 10491, \"source\": 2, \"target\": 8}, {\"weight\": 13614, \"source\": 2, \"target\": 4}, {\"weight\": 13128, \"source\": 3, \"target\": 7}, {\"weight\": 16373, \"source\": 3, \"target\": 5}, {\"weight\": 11219, \"source\": 3, \"target\": 6}, {\"weight\": 16631, \"source\": 3, \"target\": 8}, {\"weight\": 7112, \"source\": 3, \"target\": 4}, {\"weight\": 16807, \"source\": 4, \"target\": 7}, {\"weight\": 19250, \"source\": 4, \"target\": 5}, {\"weight\": 16467, \"source\": 4, \"target\": 6}, {\"weight\": 18737, \"source\": 4, \"target\": 8}, {\"weight\": 9986, \"source\": 5, \"target\": 7}, {\"weight\": 5981, \"source\": 5, \"target\": 6}, {\"weight\": 847, \"source\": 5, \"target\": 8}, {\"weight\": 4680, \"source\": 6, \"target\": 7}, {\"weight\": 6148, \"source\": 6, \"target\": 8}, {\"weight\": 10154, \"source\": 7, \"target\": 8}]}",
"id": 2227,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: VRA, KOJ, GRZ, JIU, BQB, UIB, CNY, IAN, TUA\n- Travel distances (in kilometers) between each pair of airports:\nVRA to GRZ: 8675\nVRA to IAN: 8128\nVRA to UIB: 2910\nVRA to KOJ: 13130\nVRA to JIU: 14013\nVRA to CNY: 4125\nVRA to TUA: 3164\nVRA to BQB: 19350\nKOJ to GRZ: 9137\nKOJ to IAN: 11944\nKOJ to UIB: 15423\nKOJ to JIU: 2123\nKOJ to CNY: 10043\nKOJ to TUA: 15494\nKOJ to BQB: 7789\nGRZ to IAN: 12103\nGRZ to UIB: 9930\nGRZ to JIU: 8754\nGRZ to CNY: 9437\nGRZ to TUA: 10491\nGRZ to BQB: 13614\nJIU to IAN: 13128\nJIU to UIB: 16373\nJIU to CNY: 11219\nJIU to TUA: 16631\nJIU to BQB: 7112\nBQB to IAN: 16807\nBQB to UIB: 19250\nBQB to CNY: 16467\nBQB to TUA: 18737\nUIB to IAN: 9986\nUIB to CNY: 5981\nUIB to TUA: 847\nCNY to IAN: 4680\nCNY to TUA: 6148\nIAN to TUA: 10154\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: KKH, ART, IAS, JSH, AKX, TRE, CZX, BNB, YPH\n- Travel distances (in kilometers) between each pair of airports:\nKKH to YPH: 6788\nKKH to CZX: 12406\nKKH to AKX: 13674\nKKH to JSH: 13441\nKKH to ART: 6305\nKKH to IAS: 12703\nKKH to TRE: 10395\nKKH to BNB: 17456\nART to YPH: 2578\nART to CZX: 12503\nART to AKX: 9558\nART to JSH: 8902\nART to IAS: 8218\nART to TRE: 5937\nART to BNB: 11629\nIAS to YPH: 8238\nIAS to CZX: 8556\nIAS to AKX: 3458\nIAS to JSH: 1430\nIAS to TRE: 2676\nIAS to BNB: 6728\nJSH to YPH: 8916\nJSH to CZX: 8759\nJSH to AKX: 3597\nJSH to TRE: 3422\nJSH to BNB: 6875\nAKX to YPH: 10087\nAKX to CZX: 5660\nAKX to TRE: 4387\nAKX to BNB: 8710\nTRE to YPH: 6852\nTRE to CZX: 9510\nTRE to BNB: 7885\nCZX to YPH: 12795\nCZX to BNB: 12448\nBNB to YPH: 12759\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 53009,
"style": "rule"
}
|
{
"exact_answer": 53009,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"KKH\", \"id\": 0}, {\"name\": \"ART\", \"id\": 1}, {\"name\": \"IAS\", \"id\": 2}, {\"name\": \"JSH\", \"id\": 3}, {\"name\": \"AKX\", \"id\": 4}, {\"name\": \"TRE\", \"id\": 5}, {\"name\": \"CZX\", \"id\": 6}, {\"name\": \"BNB\", \"id\": 7}, {\"name\": \"YPH\", \"id\": 8}], \"links\": [{\"weight\": 6788, \"source\": 0, \"target\": 8}, {\"weight\": 12406, \"source\": 0, \"target\": 6}, {\"weight\": 13674, \"source\": 0, \"target\": 4}, {\"weight\": 13441, \"source\": 0, \"target\": 3}, {\"weight\": 6305, \"source\": 0, \"target\": 1}, {\"weight\": 12703, \"source\": 0, \"target\": 2}, {\"weight\": 10395, \"source\": 0, \"target\": 5}, {\"weight\": 17456, \"source\": 0, \"target\": 7}, {\"weight\": 2578, \"source\": 1, \"target\": 8}, {\"weight\": 12503, \"source\": 1, \"target\": 6}, {\"weight\": 9558, \"source\": 1, \"target\": 4}, {\"weight\": 8902, \"source\": 1, \"target\": 3}, {\"weight\": 8218, \"source\": 1, \"target\": 2}, {\"weight\": 5937, \"source\": 1, \"target\": 5}, {\"weight\": 11629, \"source\": 1, \"target\": 7}, {\"weight\": 8238, \"source\": 2, \"target\": 8}, {\"weight\": 8556, \"source\": 2, \"target\": 6}, {\"weight\": 3458, \"source\": 2, \"target\": 4}, {\"weight\": 1430, \"source\": 2, \"target\": 3}, {\"weight\": 2676, \"source\": 2, \"target\": 5}, {\"weight\": 6728, \"source\": 2, \"target\": 7}, {\"weight\": 8916, \"source\": 3, \"target\": 8}, {\"weight\": 8759, \"source\": 3, \"target\": 6}, {\"weight\": 3597, \"source\": 3, \"target\": 4}, {\"weight\": 3422, \"source\": 3, \"target\": 5}, {\"weight\": 6875, \"source\": 3, \"target\": 7}, {\"weight\": 10087, \"source\": 4, \"target\": 8}, {\"weight\": 5660, \"source\": 4, \"target\": 6}, {\"weight\": 4387, \"source\": 4, \"target\": 5}, {\"weight\": 8710, \"source\": 4, \"target\": 7}, {\"weight\": 6852, \"source\": 5, \"target\": 8}, {\"weight\": 9510, \"source\": 5, \"target\": 6}, {\"weight\": 7885, \"source\": 5, \"target\": 7}, {\"weight\": 12795, \"source\": 6, \"target\": 8}, {\"weight\": 12448, \"source\": 6, \"target\": 7}, {\"weight\": 12759, \"source\": 7, \"target\": 8}]}",
"id": 2228,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: KKH, ART, IAS, JSH, AKX, TRE, CZX, BNB, YPH\n- Travel distances (in kilometers) between each pair of airports:\nKKH to YPH: 6788\nKKH to CZX: 12406\nKKH to AKX: 13674\nKKH to JSH: 13441\nKKH to ART: 6305\nKKH to IAS: 12703\nKKH to TRE: 10395\nKKH to BNB: 17456\nART to YPH: 2578\nART to CZX: 12503\nART to AKX: 9558\nART to JSH: 8902\nART to IAS: 8218\nART to TRE: 5937\nART to BNB: 11629\nIAS to YPH: 8238\nIAS to CZX: 8556\nIAS to AKX: 3458\nIAS to JSH: 1430\nIAS to TRE: 2676\nIAS to BNB: 6728\nJSH to YPH: 8916\nJSH to CZX: 8759\nJSH to AKX: 3597\nJSH to TRE: 3422\nJSH to BNB: 6875\nAKX to YPH: 10087\nAKX to CZX: 5660\nAKX to TRE: 4387\nAKX to BNB: 8710\nTRE to YPH: 6852\nTRE to CZX: 9510\nTRE to BNB: 7885\nCZX to YPH: 12795\nCZX to BNB: 12448\nBNB to YPH: 12759\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PPQ, AEX, WNN, SHR, ZIG, ALB, BSK, ORI, KDU\n- Travel distances (in kilometers) between each pair of airports:\nPPQ to ORI: 12426\nPPQ to ALB: 14880\nPPQ to AEX: 13359\nPPQ to BSK: 19762\nPPQ to ZIG: 18624\nPPQ to KDU: 13844\nPPQ to WNN: 14153\nPPQ to SHR: 12881\nAEX to ORI: 5783\nAEX to ALB: 2175\nAEX to BSK: 8797\nAEX to ZIG: 8337\nAEX to KDU: 13274\nAEX to WNN: 3211\nAEX to SHR: 2066\nWNN to ORI: 5419\nWNN to ALB: 2326\nWNN to BSK: 8630\nWNN to ZIG: 8521\nWNN to KDU: 12818\nWNN to SHR: 2584\nSHR to ORI: 4871\nSHR to ALB: 3162\nSHR to BSK: 9749\nSHR to ZIG: 9581\nSHR to KDU: 13667\nZIG to ORI: 12519\nZIG to ALB: 6602\nZIG to BSK: 3772\nZIG to KDU: 9852\nALB to ORI: 6045\nALB to BSK: 6739\nALB to KDU: 11470\nBSK to ORI: 12394\nBSK to KDU: 6821\nORI to KDU: 15625\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 55709,
"style": "rule"
}
|
{
"exact_answer": 55709,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"PPQ\", \"id\": 0}, {\"name\": \"AEX\", \"id\": 1}, {\"name\": \"WNN\", \"id\": 2}, {\"name\": \"SHR\", \"id\": 3}, {\"name\": \"ZIG\", \"id\": 4}, {\"name\": \"ALB\", \"id\": 5}, {\"name\": \"BSK\", \"id\": 6}, {\"name\": \"ORI\", \"id\": 7}, {\"name\": \"KDU\", \"id\": 8}], \"links\": [{\"weight\": 12426, \"source\": 0, \"target\": 7}, {\"weight\": 14880, \"source\": 0, \"target\": 5}, {\"weight\": 13359, \"source\": 0, \"target\": 1}, {\"weight\": 19762, \"source\": 0, \"target\": 6}, {\"weight\": 18624, \"source\": 0, \"target\": 4}, {\"weight\": 13844, \"source\": 0, \"target\": 8}, {\"weight\": 14153, \"source\": 0, \"target\": 2}, {\"weight\": 12881, \"source\": 0, \"target\": 3}, {\"weight\": 5783, \"source\": 1, \"target\": 7}, {\"weight\": 2175, \"source\": 1, \"target\": 5}, {\"weight\": 8797, \"source\": 1, \"target\": 6}, {\"weight\": 8337, \"source\": 1, \"target\": 4}, {\"weight\": 13274, \"source\": 1, \"target\": 8}, {\"weight\": 3211, \"source\": 1, \"target\": 2}, {\"weight\": 2066, \"source\": 1, \"target\": 3}, {\"weight\": 5419, \"source\": 2, \"target\": 7}, {\"weight\": 2326, \"source\": 2, \"target\": 5}, {\"weight\": 8630, \"source\": 2, \"target\": 6}, {\"weight\": 8521, \"source\": 2, \"target\": 4}, {\"weight\": 12818, \"source\": 2, \"target\": 8}, {\"weight\": 2584, \"source\": 2, \"target\": 3}, {\"weight\": 4871, \"source\": 3, \"target\": 7}, {\"weight\": 3162, \"source\": 3, \"target\": 5}, {\"weight\": 9749, \"source\": 3, \"target\": 6}, {\"weight\": 9581, \"source\": 3, \"target\": 4}, {\"weight\": 13667, \"source\": 3, \"target\": 8}, {\"weight\": 12519, \"source\": 4, \"target\": 7}, {\"weight\": 6602, \"source\": 4, \"target\": 5}, {\"weight\": 3772, \"source\": 4, \"target\": 6}, {\"weight\": 9852, \"source\": 4, \"target\": 8}, {\"weight\": 6045, \"source\": 5, \"target\": 7}, {\"weight\": 6739, \"source\": 5, \"target\": 6}, {\"weight\": 11470, \"source\": 5, \"target\": 8}, {\"weight\": 12394, \"source\": 6, \"target\": 7}, {\"weight\": 6821, \"source\": 6, \"target\": 8}, {\"weight\": 15625, \"source\": 7, \"target\": 8}]}",
"id": 2229,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PPQ, AEX, WNN, SHR, ZIG, ALB, BSK, ORI, KDU\n- Travel distances (in kilometers) between each pair of airports:\nPPQ to ORI: 12426\nPPQ to ALB: 14880\nPPQ to AEX: 13359\nPPQ to BSK: 19762\nPPQ to ZIG: 18624\nPPQ to KDU: 13844\nPPQ to WNN: 14153\nPPQ to SHR: 12881\nAEX to ORI: 5783\nAEX to ALB: 2175\nAEX to BSK: 8797\nAEX to ZIG: 8337\nAEX to KDU: 13274\nAEX to WNN: 3211\nAEX to SHR: 2066\nWNN to ORI: 5419\nWNN to ALB: 2326\nWNN to BSK: 8630\nWNN to ZIG: 8521\nWNN to KDU: 12818\nWNN to SHR: 2584\nSHR to ORI: 4871\nSHR to ALB: 3162\nSHR to BSK: 9749\nSHR to ZIG: 9581\nSHR to KDU: 13667\nZIG to ORI: 12519\nZIG to ALB: 6602\nZIG to BSK: 3772\nZIG to KDU: 9852\nALB to ORI: 6045\nALB to BSK: 6739\nALB to KDU: 11470\nBSK to ORI: 12394\nBSK to KDU: 6821\nORI to KDU: 15625\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TUO, RNA, LYH, YRT, RVD, KRN, UME, IPI, BFN\n- Travel distances (in kilometers) between each pair of airports:\nTUO to YRT: 14546\nTUO to IPI: 14704\nTUO to LYH: 14402\nTUO to RVD: 13408\nTUO to UME: 17761\nTUO to KRN: 18200\nTUO to RNA: 3958\nTUO to BFN: 13786\nRNA to YRT: 14730\nRNA to IPI: 17378\nRNA to LYH: 14892\nRNA to RVD: 16920\nRNA to UME: 15368\nRNA to KRN: 15807\nRNA to BFN: 14497\nLYH to YRT: 3850\nLYH to IPI: 4340\nLYH to RVD: 8525\nLYH to UME: 7911\nLYH to KRN: 8350\nLYH to BFN: 14295\nYRT to IPI: 7528\nYRT to RVD: 11713\nYRT to UME: 9308\nYRT to KRN: 9720\nYRT to BFN: 16769\nRVD to IPI: 6119\nRVD to UME: 12100\nRVD to KRN: 12516\nRVD to BFN: 9024\nKRN to IPI: 11337\nKRN to UME: 478\nKRN to BFN: 10958\nUME to IPI: 10916\nUME to BFN: 10519\nIPI to BFN: 12733\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 66643,
"style": "rule"
}
|
{
"exact_answer": 66643,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"TUO\", \"id\": 0}, {\"name\": \"RNA\", \"id\": 1}, {\"name\": \"LYH\", \"id\": 2}, {\"name\": \"YRT\", \"id\": 3}, {\"name\": \"RVD\", \"id\": 4}, {\"name\": \"KRN\", \"id\": 5}, {\"name\": \"UME\", \"id\": 6}, {\"name\": \"IPI\", \"id\": 7}, {\"name\": \"BFN\", \"id\": 8}], \"links\": [{\"weight\": 14546, \"source\": 0, \"target\": 3}, {\"weight\": 14704, \"source\": 0, \"target\": 7}, {\"weight\": 14402, \"source\": 0, \"target\": 2}, {\"weight\": 13408, \"source\": 0, \"target\": 4}, {\"weight\": 17761, \"source\": 0, \"target\": 6}, {\"weight\": 18200, \"source\": 0, \"target\": 5}, {\"weight\": 3958, \"source\": 0, \"target\": 1}, {\"weight\": 13786, \"source\": 0, \"target\": 8}, {\"weight\": 14730, \"source\": 1, \"target\": 3}, {\"weight\": 17378, \"source\": 1, \"target\": 7}, {\"weight\": 14892, \"source\": 1, \"target\": 2}, {\"weight\": 16920, \"source\": 1, \"target\": 4}, {\"weight\": 15368, \"source\": 1, \"target\": 6}, {\"weight\": 15807, \"source\": 1, \"target\": 5}, {\"weight\": 14497, \"source\": 1, \"target\": 8}, {\"weight\": 3850, \"source\": 2, \"target\": 3}, {\"weight\": 4340, \"source\": 2, \"target\": 7}, {\"weight\": 8525, \"source\": 2, \"target\": 4}, {\"weight\": 7911, \"source\": 2, \"target\": 6}, {\"weight\": 8350, \"source\": 2, \"target\": 5}, {\"weight\": 14295, \"source\": 2, \"target\": 8}, {\"weight\": 7528, \"source\": 3, \"target\": 7}, {\"weight\": 11713, \"source\": 3, \"target\": 4}, {\"weight\": 9308, \"source\": 3, \"target\": 6}, {\"weight\": 9720, \"source\": 3, \"target\": 5}, {\"weight\": 16769, \"source\": 3, \"target\": 8}, {\"weight\": 6119, \"source\": 4, \"target\": 7}, {\"weight\": 12100, \"source\": 4, \"target\": 6}, {\"weight\": 12516, \"source\": 4, \"target\": 5}, {\"weight\": 9024, \"source\": 4, \"target\": 8}, {\"weight\": 11337, \"source\": 5, \"target\": 7}, {\"weight\": 478, \"source\": 5, \"target\": 6}, {\"weight\": 10958, \"source\": 5, \"target\": 8}, {\"weight\": 10916, \"source\": 6, \"target\": 7}, {\"weight\": 10519, \"source\": 6, \"target\": 8}, {\"weight\": 12733, \"source\": 7, \"target\": 8}]}",
"id": 2230,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TUO, RNA, LYH, YRT, RVD, KRN, UME, IPI, BFN\n- Travel distances (in kilometers) between each pair of airports:\nTUO to YRT: 14546\nTUO to IPI: 14704\nTUO to LYH: 14402\nTUO to RVD: 13408\nTUO to UME: 17761\nTUO to KRN: 18200\nTUO to RNA: 3958\nTUO to BFN: 13786\nRNA to YRT: 14730\nRNA to IPI: 17378\nRNA to LYH: 14892\nRNA to RVD: 16920\nRNA to UME: 15368\nRNA to KRN: 15807\nRNA to BFN: 14497\nLYH to YRT: 3850\nLYH to IPI: 4340\nLYH to RVD: 8525\nLYH to UME: 7911\nLYH to KRN: 8350\nLYH to BFN: 14295\nYRT to IPI: 7528\nYRT to RVD: 11713\nYRT to UME: 9308\nYRT to KRN: 9720\nYRT to BFN: 16769\nRVD to IPI: 6119\nRVD to UME: 12100\nRVD to KRN: 12516\nRVD to BFN: 9024\nKRN to IPI: 11337\nKRN to UME: 478\nKRN to BFN: 10958\nUME to IPI: 10916\nUME to BFN: 10519\nIPI to BFN: 12733\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CZH, LEI, HDF, PUW, GMR, JNS, DMM, CJA, RHO\n- Travel distances (in kilometers) between each pair of airports:\nCZH to HDF: 9536\nCZH to RHO: 11175\nCZH to DMM: 13474\nCZH to LEI: 8673\nCZH to PUW: 4383\nCZH to JNS: 9113\nCZH to CJA: 4219\nCZH to GMR: 11887\nLEI to HDF: 2290\nLEI to RHO: 2866\nLEI to DMM: 5195\nLEI to PUW: 9589\nLEI to JNS: 5353\nLEI to CJA: 10456\nLEI to GMR: 18066\nHDF to RHO: 2722\nHDF to DMM: 4940\nHDF to PUW: 8995\nHDF to JNS: 4697\nHDF to CJA: 11807\nHDF to GMR: 17972\nPUW to RHO: 10754\nPUW to DMM: 12869\nPUW to JNS: 8118\nPUW to CJA: 8330\nPUW to GMR: 9708\nGMR to RHO: 19756\nGMR to DMM: 19499\nGMR to JNS: 17277\nGMR to CJA: 12677\nJNS to RHO: 6448\nJNS to DMM: 8563\nJNS to CJA: 12491\nDMM to RHO: 2828\nDMM to CJA: 15198\nCJA to RHO: 12869\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 58726,
"style": "rule"
}
|
{
"exact_answer": 58726,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"CZH\", \"id\": 0}, {\"name\": \"LEI\", \"id\": 1}, {\"name\": \"HDF\", \"id\": 2}, {\"name\": \"PUW\", \"id\": 3}, {\"name\": \"GMR\", \"id\": 4}, {\"name\": \"JNS\", \"id\": 5}, {\"name\": \"DMM\", \"id\": 6}, {\"name\": \"CJA\", \"id\": 7}, {\"name\": \"RHO\", \"id\": 8}], \"links\": [{\"weight\": 9536, \"source\": 0, \"target\": 2}, {\"weight\": 11175, \"source\": 0, \"target\": 8}, {\"weight\": 13474, \"source\": 0, \"target\": 6}, {\"weight\": 8673, \"source\": 0, \"target\": 1}, {\"weight\": 4383, \"source\": 0, \"target\": 3}, {\"weight\": 9113, \"source\": 0, \"target\": 5}, {\"weight\": 4219, \"source\": 0, \"target\": 7}, {\"weight\": 11887, \"source\": 0, \"target\": 4}, {\"weight\": 2290, \"source\": 1, \"target\": 2}, {\"weight\": 2866, \"source\": 1, \"target\": 8}, {\"weight\": 5195, \"source\": 1, \"target\": 6}, {\"weight\": 9589, \"source\": 1, \"target\": 3}, {\"weight\": 5353, \"source\": 1, \"target\": 5}, {\"weight\": 10456, \"source\": 1, \"target\": 7}, {\"weight\": 18066, \"source\": 1, \"target\": 4}, {\"weight\": 2722, \"source\": 2, \"target\": 8}, {\"weight\": 4940, \"source\": 2, \"target\": 6}, {\"weight\": 8995, \"source\": 2, \"target\": 3}, {\"weight\": 4697, \"source\": 2, \"target\": 5}, {\"weight\": 11807, \"source\": 2, \"target\": 7}, {\"weight\": 17972, \"source\": 2, \"target\": 4}, {\"weight\": 10754, \"source\": 3, \"target\": 8}, {\"weight\": 12869, \"source\": 3, \"target\": 6}, {\"weight\": 8118, \"source\": 3, \"target\": 5}, {\"weight\": 8330, \"source\": 3, \"target\": 7}, {\"weight\": 9708, \"source\": 3, \"target\": 4}, {\"weight\": 19756, \"source\": 4, \"target\": 8}, {\"weight\": 19499, \"source\": 4, \"target\": 6}, {\"weight\": 17277, \"source\": 4, \"target\": 5}, {\"weight\": 12677, \"source\": 4, \"target\": 7}, {\"weight\": 6448, \"source\": 5, \"target\": 8}, {\"weight\": 8563, \"source\": 5, \"target\": 6}, {\"weight\": 12491, \"source\": 5, \"target\": 7}, {\"weight\": 2828, \"source\": 6, \"target\": 8}, {\"weight\": 15198, \"source\": 6, \"target\": 7}, {\"weight\": 12869, \"source\": 7, \"target\": 8}]}",
"id": 2231,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CZH, LEI, HDF, PUW, GMR, JNS, DMM, CJA, RHO\n- Travel distances (in kilometers) between each pair of airports:\nCZH to HDF: 9536\nCZH to RHO: 11175\nCZH to DMM: 13474\nCZH to LEI: 8673\nCZH to PUW: 4383\nCZH to JNS: 9113\nCZH to CJA: 4219\nCZH to GMR: 11887\nLEI to HDF: 2290\nLEI to RHO: 2866\nLEI to DMM: 5195\nLEI to PUW: 9589\nLEI to JNS: 5353\nLEI to CJA: 10456\nLEI to GMR: 18066\nHDF to RHO: 2722\nHDF to DMM: 4940\nHDF to PUW: 8995\nHDF to JNS: 4697\nHDF to CJA: 11807\nHDF to GMR: 17972\nPUW to RHO: 10754\nPUW to DMM: 12869\nPUW to JNS: 8118\nPUW to CJA: 8330\nPUW to GMR: 9708\nGMR to RHO: 19756\nGMR to DMM: 19499\nGMR to JNS: 17277\nGMR to CJA: 12677\nJNS to RHO: 6448\nJNS to DMM: 8563\nJNS to CJA: 12491\nDMM to RHO: 2828\nDMM to CJA: 15198\nCJA to RHO: 12869\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: GES, MNS, HNS, PPW, AUK, PFO, MVR, CHY, PAZ\n- Travel distances (in kilometers) between each pair of airports:\nGES to AUK: 14567\nGES to PAZ: 15229\nGES to PFO: 10582\nGES to CHY: 5776\nGES to HNS: 12992\nGES to PPW: 11821\nGES to MNS: 12244\nGES to MVR: 14117\nMNS to AUK: 18734\nMNS to PAZ: 15019\nMNS to PFO: 7288\nMNS to CHY: 16073\nMNS to HNS: 17645\nMNS to PPW: 9230\nMNS to MVR: 3962\nHNS to AUK: 1849\nHNS to PAZ: 5581\nHNS to PFO: 12299\nHNS to CHY: 13202\nHNS to PPW: 9128\nHNS to MVR: 15534\nPPW to AUK: 10703\nPPW to PAZ: 9132\nPPW to PFO: 3881\nPPW to CHY: 16620\nPPW to MVR: 7119\nAUK to PAZ: 7151\nAUK to PFO: 13874\nAUK to CHY: 12997\nAUK to MVR: 16595\nPFO to PAZ: 12324\nPFO to CHY: 15381\nPFO to MVR: 6669\nMVR to PAZ: 13386\nMVR to CHY: 18377\nCHY to PAZ: 14197\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 62091,
"style": "rule"
}
|
{
"exact_answer": 62091,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"GES\", \"id\": 0}, {\"name\": \"MNS\", \"id\": 1}, {\"name\": \"HNS\", \"id\": 2}, {\"name\": \"PPW\", \"id\": 3}, {\"name\": \"AUK\", \"id\": 4}, {\"name\": \"PFO\", \"id\": 5}, {\"name\": \"MVR\", \"id\": 6}, {\"name\": \"CHY\", \"id\": 7}, {\"name\": \"PAZ\", \"id\": 8}], \"links\": [{\"weight\": 14567, \"source\": 0, \"target\": 4}, {\"weight\": 15229, \"source\": 0, \"target\": 8}, {\"weight\": 10582, \"source\": 0, \"target\": 5}, {\"weight\": 5776, \"source\": 0, \"target\": 7}, {\"weight\": 12992, \"source\": 0, \"target\": 2}, {\"weight\": 11821, \"source\": 0, \"target\": 3}, {\"weight\": 12244, \"source\": 0, \"target\": 1}, {\"weight\": 14117, \"source\": 0, \"target\": 6}, {\"weight\": 18734, \"source\": 1, \"target\": 4}, {\"weight\": 15019, \"source\": 1, \"target\": 8}, {\"weight\": 7288, \"source\": 1, \"target\": 5}, {\"weight\": 16073, \"source\": 1, \"target\": 7}, {\"weight\": 17645, \"source\": 1, \"target\": 2}, {\"weight\": 9230, \"source\": 1, \"target\": 3}, {\"weight\": 3962, \"source\": 1, \"target\": 6}, {\"weight\": 1849, \"source\": 2, \"target\": 4}, {\"weight\": 5581, \"source\": 2, \"target\": 8}, {\"weight\": 12299, \"source\": 2, \"target\": 5}, {\"weight\": 13202, \"source\": 2, \"target\": 7}, {\"weight\": 9128, \"source\": 2, \"target\": 3}, {\"weight\": 15534, \"source\": 2, \"target\": 6}, {\"weight\": 10703, \"source\": 3, \"target\": 4}, {\"weight\": 9132, \"source\": 3, \"target\": 8}, {\"weight\": 3881, \"source\": 3, \"target\": 5}, {\"weight\": 16620, \"source\": 3, \"target\": 7}, {\"weight\": 7119, \"source\": 3, \"target\": 6}, {\"weight\": 7151, \"source\": 4, \"target\": 8}, {\"weight\": 13874, \"source\": 4, \"target\": 5}, {\"weight\": 12997, \"source\": 4, \"target\": 7}, {\"weight\": 16595, \"source\": 4, \"target\": 6}, {\"weight\": 12324, \"source\": 5, \"target\": 8}, {\"weight\": 15381, \"source\": 5, \"target\": 7}, {\"weight\": 6669, \"source\": 5, \"target\": 6}, {\"weight\": 13386, \"source\": 6, \"target\": 8}, {\"weight\": 18377, \"source\": 6, \"target\": 7}, {\"weight\": 14197, \"source\": 7, \"target\": 8}]}",
"id": 2232,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: GES, MNS, HNS, PPW, AUK, PFO, MVR, CHY, PAZ\n- Travel distances (in kilometers) between each pair of airports:\nGES to AUK: 14567\nGES to PAZ: 15229\nGES to PFO: 10582\nGES to CHY: 5776\nGES to HNS: 12992\nGES to PPW: 11821\nGES to MNS: 12244\nGES to MVR: 14117\nMNS to AUK: 18734\nMNS to PAZ: 15019\nMNS to PFO: 7288\nMNS to CHY: 16073\nMNS to HNS: 17645\nMNS to PPW: 9230\nMNS to MVR: 3962\nHNS to AUK: 1849\nHNS to PAZ: 5581\nHNS to PFO: 12299\nHNS to CHY: 13202\nHNS to PPW: 9128\nHNS to MVR: 15534\nPPW to AUK: 10703\nPPW to PAZ: 9132\nPPW to PFO: 3881\nPPW to CHY: 16620\nPPW to MVR: 7119\nAUK to PAZ: 7151\nAUK to PFO: 13874\nAUK to CHY: 12997\nAUK to MVR: 16595\nPFO to PAZ: 12324\nPFO to CHY: 15381\nPFO to MVR: 6669\nMVR to PAZ: 13386\nMVR to CHY: 18377\nCHY to PAZ: 14197\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: UBJ, RVD, BHV, SVX, BYC, ELH, RSH, PJG, SHJ\n- Travel distances (in kilometers) between each pair of airports:\nUBJ to SVX: 5852\nUBJ to ELH: 13204\nUBJ to RSH: 11439\nUBJ to SHJ: 7314\nUBJ to BYC: 18199\nUBJ to RVD: 19609\nUBJ to BHV: 5875\nUBJ to PJG: 6683\nRVD to SVX: 13943\nRVD to ELH: 7430\nRVD to RSH: 14259\nRVD to SHJ: 13045\nRVD to BYC: 3635\nRVD to BHV: 14836\nRVD to PJG: 14544\nBHV to SVX: 3414\nBHV to ELH: 13543\nBHV to RSH: 15998\nBHV to SHJ: 1840\nBHV to BYC: 16483\nBHV to PJG: 1046\nSVX to SHJ: 3518\nSVX to ELH: 10515\nSVX to RSH: 13276\nSVX to BYC: 14353\nSVX to PJG: 4242\nBYC to ELH: 5868\nBYC to RSH: 12668\nBYC to SHJ: 14680\nBYC to PJG: 16191\nELH to RSH: 7350\nELH to SHJ: 12572\nELH to PJG: 13783\nRSH to SHJ: 15427\nRSH to PJG: 16422\nPJG to SHJ: 1548\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 53197,
"style": "rule"
}
|
{
"exact_answer": 53197,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"UBJ\", \"id\": 0}, {\"name\": \"RVD\", \"id\": 1}, {\"name\": \"BHV\", \"id\": 2}, {\"name\": \"SVX\", \"id\": 3}, {\"name\": \"BYC\", \"id\": 4}, {\"name\": \"ELH\", \"id\": 5}, {\"name\": \"RSH\", \"id\": 6}, {\"name\": \"PJG\", \"id\": 7}, {\"name\": \"SHJ\", \"id\": 8}], \"links\": [{\"weight\": 5852, \"source\": 0, \"target\": 3}, {\"weight\": 13204, \"source\": 0, \"target\": 5}, {\"weight\": 11439, \"source\": 0, \"target\": 6}, {\"weight\": 7314, \"source\": 0, \"target\": 8}, {\"weight\": 18199, \"source\": 0, \"target\": 4}, {\"weight\": 19609, \"source\": 0, \"target\": 1}, {\"weight\": 5875, \"source\": 0, \"target\": 2}, {\"weight\": 6683, \"source\": 0, \"target\": 7}, {\"weight\": 13943, \"source\": 1, \"target\": 3}, {\"weight\": 7430, \"source\": 1, \"target\": 5}, {\"weight\": 14259, \"source\": 1, \"target\": 6}, {\"weight\": 13045, \"source\": 1, \"target\": 8}, {\"weight\": 3635, \"source\": 1, \"target\": 4}, {\"weight\": 14836, \"source\": 1, \"target\": 2}, {\"weight\": 14544, \"source\": 1, \"target\": 7}, {\"weight\": 3414, \"source\": 2, \"target\": 3}, {\"weight\": 13543, \"source\": 2, \"target\": 5}, {\"weight\": 15998, \"source\": 2, \"target\": 6}, {\"weight\": 1840, \"source\": 2, \"target\": 8}, {\"weight\": 16483, \"source\": 2, \"target\": 4}, {\"weight\": 1046, \"source\": 2, \"target\": 7}, {\"weight\": 3518, \"source\": 3, \"target\": 8}, {\"weight\": 10515, \"source\": 3, \"target\": 5}, {\"weight\": 13276, \"source\": 3, \"target\": 6}, {\"weight\": 14353, \"source\": 3, \"target\": 4}, {\"weight\": 4242, \"source\": 3, \"target\": 7}, {\"weight\": 5868, \"source\": 4, \"target\": 5}, {\"weight\": 12668, \"source\": 4, \"target\": 6}, {\"weight\": 14680, \"source\": 4, \"target\": 8}, {\"weight\": 16191, \"source\": 4, \"target\": 7}, {\"weight\": 7350, \"source\": 5, \"target\": 6}, {\"weight\": 12572, \"source\": 5, \"target\": 8}, {\"weight\": 13783, \"source\": 5, \"target\": 7}, {\"weight\": 15427, \"source\": 6, \"target\": 8}, {\"weight\": 16422, \"source\": 6, \"target\": 7}, {\"weight\": 1548, \"source\": 7, \"target\": 8}]}",
"id": 2233,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: UBJ, RVD, BHV, SVX, BYC, ELH, RSH, PJG, SHJ\n- Travel distances (in kilometers) between each pair of airports:\nUBJ to SVX: 5852\nUBJ to ELH: 13204\nUBJ to RSH: 11439\nUBJ to SHJ: 7314\nUBJ to BYC: 18199\nUBJ to RVD: 19609\nUBJ to BHV: 5875\nUBJ to PJG: 6683\nRVD to SVX: 13943\nRVD to ELH: 7430\nRVD to RSH: 14259\nRVD to SHJ: 13045\nRVD to BYC: 3635\nRVD to BHV: 14836\nRVD to PJG: 14544\nBHV to SVX: 3414\nBHV to ELH: 13543\nBHV to RSH: 15998\nBHV to SHJ: 1840\nBHV to BYC: 16483\nBHV to PJG: 1046\nSVX to SHJ: 3518\nSVX to ELH: 10515\nSVX to RSH: 13276\nSVX to BYC: 14353\nSVX to PJG: 4242\nBYC to ELH: 5868\nBYC to RSH: 12668\nBYC to SHJ: 14680\nBYC to PJG: 16191\nELH to RSH: 7350\nELH to SHJ: 12572\nELH to PJG: 13783\nRSH to SHJ: 15427\nRSH to PJG: 16422\nPJG to SHJ: 1548\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: MFE, GWT, FTE, MBI, SAW, IPH, GDV, TRD, ROO\n- Travel distances (in kilometers) between each pair of airports:\nMFE to SAW: 10804\nMFE to GWT: 9068\nMFE to GDV: 2842\nMFE to TRD: 8371\nMFE to ROO: 7778\nMFE to FTE: 10187\nMFE to IPH: 16673\nMFE to MBI: 15916\nGWT to SAW: 2190\nGWT to GDV: 8762\nGWT to TRD: 1273\nGWT to ROO: 10619\nGWT to FTE: 13946\nGWT to IPH: 10868\nGWT to MBI: 8178\nFTE to SAW: 14617\nFTE to GDV: 12651\nFTE to TRD: 14664\nFTE to ROO: 4788\nFTE to IPH: 20334\nFTE to MBI: 14275\nMBI to SAW: 6134\nMBI to GDV: 16128\nMBI to TRD: 8865\nMBI to ROO: 11987\nMBI to IPH: 9472\nSAW to GDV: 10451\nSAW to TRD: 2790\nSAW to ROO: 11355\nSAW to IPH: 9110\nIPH to GDV: 14845\nIPH to TRD: 10633\nIPH to ROO: 18082\nGDV to TRD: 8411\nGDV to ROO: 9761\nTRD to ROO: 11403\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 60139,
"style": "rule"
}
|
{
"exact_answer": 60139,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"MFE\", \"id\": 0}, {\"name\": \"GWT\", \"id\": 1}, {\"name\": \"FTE\", \"id\": 2}, {\"name\": \"MBI\", \"id\": 3}, {\"name\": \"SAW\", \"id\": 4}, {\"name\": \"IPH\", \"id\": 5}, {\"name\": \"GDV\", \"id\": 6}, {\"name\": \"TRD\", \"id\": 7}, {\"name\": \"ROO\", \"id\": 8}], \"links\": [{\"weight\": 10804, \"source\": 0, \"target\": 4}, {\"weight\": 9068, \"source\": 0, \"target\": 1}, {\"weight\": 2842, \"source\": 0, \"target\": 6}, {\"weight\": 8371, \"source\": 0, \"target\": 7}, {\"weight\": 7778, \"source\": 0, \"target\": 8}, {\"weight\": 10187, \"source\": 0, \"target\": 2}, {\"weight\": 16673, \"source\": 0, \"target\": 5}, {\"weight\": 15916, \"source\": 0, \"target\": 3}, {\"weight\": 2190, \"source\": 1, \"target\": 4}, {\"weight\": 8762, \"source\": 1, \"target\": 6}, {\"weight\": 1273, \"source\": 1, \"target\": 7}, {\"weight\": 10619, \"source\": 1, \"target\": 8}, {\"weight\": 13946, \"source\": 1, \"target\": 2}, {\"weight\": 10868, \"source\": 1, \"target\": 5}, {\"weight\": 8178, \"source\": 1, \"target\": 3}, {\"weight\": 14617, \"source\": 2, \"target\": 4}, {\"weight\": 12651, \"source\": 2, \"target\": 6}, {\"weight\": 14664, \"source\": 2, \"target\": 7}, {\"weight\": 4788, \"source\": 2, \"target\": 8}, {\"weight\": 20334, \"source\": 2, \"target\": 5}, {\"weight\": 14275, \"source\": 2, \"target\": 3}, {\"weight\": 6134, \"source\": 3, \"target\": 4}, {\"weight\": 16128, \"source\": 3, \"target\": 6}, {\"weight\": 8865, \"source\": 3, \"target\": 7}, {\"weight\": 11987, \"source\": 3, \"target\": 8}, {\"weight\": 9472, \"source\": 3, \"target\": 5}, {\"weight\": 10451, \"source\": 4, \"target\": 6}, {\"weight\": 2790, \"source\": 4, \"target\": 7}, {\"weight\": 11355, \"source\": 4, \"target\": 8}, {\"weight\": 9110, \"source\": 4, \"target\": 5}, {\"weight\": 14845, \"source\": 5, \"target\": 6}, {\"weight\": 10633, \"source\": 5, \"target\": 7}, {\"weight\": 18082, \"source\": 5, \"target\": 8}, {\"weight\": 8411, \"source\": 6, \"target\": 7}, {\"weight\": 9761, \"source\": 6, \"target\": 8}, {\"weight\": 11403, \"source\": 7, \"target\": 8}]}",
"id": 2234,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: MFE, GWT, FTE, MBI, SAW, IPH, GDV, TRD, ROO\n- Travel distances (in kilometers) between each pair of airports:\nMFE to SAW: 10804\nMFE to GWT: 9068\nMFE to GDV: 2842\nMFE to TRD: 8371\nMFE to ROO: 7778\nMFE to FTE: 10187\nMFE to IPH: 16673\nMFE to MBI: 15916\nGWT to SAW: 2190\nGWT to GDV: 8762\nGWT to TRD: 1273\nGWT to ROO: 10619\nGWT to FTE: 13946\nGWT to IPH: 10868\nGWT to MBI: 8178\nFTE to SAW: 14617\nFTE to GDV: 12651\nFTE to TRD: 14664\nFTE to ROO: 4788\nFTE to IPH: 20334\nFTE to MBI: 14275\nMBI to SAW: 6134\nMBI to GDV: 16128\nMBI to TRD: 8865\nMBI to ROO: 11987\nMBI to IPH: 9472\nSAW to GDV: 10451\nSAW to TRD: 2790\nSAW to ROO: 11355\nSAW to IPH: 9110\nIPH to GDV: 14845\nIPH to TRD: 10633\nIPH to ROO: 18082\nGDV to TRD: 8411\nGDV to ROO: 9761\nTRD to ROO: 11403\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LGI, VNS, MDQ, NUX, ENA, LCE, IOS, OSW, JSY\n- Travel distances (in kilometers) between each pair of airports:\nLGI to NUX: 11856\nLGI to VNS: 14505\nLGI to ENA: 7082\nLGI to MDQ: 7907\nLGI to JSY: 9824\nLGI to IOS: 7022\nLGI to LCE: 1774\nLGI to OSW: 11039\nVNS to NUX: 4940\nVNS to ENA: 14645\nVNS to MDQ: 17083\nVNS to JSY: 5771\nVNS to IOS: 15011\nVNS to LCE: 15485\nVNS to OSW: 6426\nMDQ to NUX: 16188\nMDQ to ENA: 13958\nMDQ to JSY: 12651\nMDQ to IOS: 3312\nMDQ to LCE: 6869\nMDQ to OSW: 15319\nNUX to ENA: 13881\nNUX to JSY: 4667\nNUX to IOS: 12909\nNUX to LCE: 12841\nNUX to OSW: 3808\nENA to JSY: 12537\nENA to IOS: 13035\nENA to LCE: 7183\nENA to OSW: 13064\nLCE to JSY: 10828\nLCE to IOS: 6604\nLCE to OSW: 12043\nIOS to JSY: 9536\nIOS to OSW: 12044\nOSW to JSY: 3763\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 55729,
"style": "rule"
}
|
{
"exact_answer": 55729,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"LGI\", \"id\": 0}, {\"name\": \"VNS\", \"id\": 1}, {\"name\": \"MDQ\", \"id\": 2}, {\"name\": \"NUX\", \"id\": 3}, {\"name\": \"ENA\", \"id\": 4}, {\"name\": \"LCE\", \"id\": 5}, {\"name\": \"IOS\", \"id\": 6}, {\"name\": \"OSW\", \"id\": 7}, {\"name\": \"JSY\", \"id\": 8}], \"links\": [{\"weight\": 11856, \"source\": 0, \"target\": 3}, {\"weight\": 14505, \"source\": 0, \"target\": 1}, {\"weight\": 7082, \"source\": 0, \"target\": 4}, {\"weight\": 7907, \"source\": 0, \"target\": 2}, {\"weight\": 9824, \"source\": 0, \"target\": 8}, {\"weight\": 7022, \"source\": 0, \"target\": 6}, {\"weight\": 1774, \"source\": 0, \"target\": 5}, {\"weight\": 11039, \"source\": 0, \"target\": 7}, {\"weight\": 4940, \"source\": 1, \"target\": 3}, {\"weight\": 14645, \"source\": 1, \"target\": 4}, {\"weight\": 17083, \"source\": 1, \"target\": 2}, {\"weight\": 5771, \"source\": 1, \"target\": 8}, {\"weight\": 15011, \"source\": 1, \"target\": 6}, {\"weight\": 15485, \"source\": 1, \"target\": 5}, {\"weight\": 6426, \"source\": 1, \"target\": 7}, {\"weight\": 16188, \"source\": 2, \"target\": 3}, {\"weight\": 13958, \"source\": 2, \"target\": 4}, {\"weight\": 12651, \"source\": 2, \"target\": 8}, {\"weight\": 3312, \"source\": 2, \"target\": 6}, {\"weight\": 6869, \"source\": 2, \"target\": 5}, {\"weight\": 15319, \"source\": 2, \"target\": 7}, {\"weight\": 13881, \"source\": 3, \"target\": 4}, {\"weight\": 4667, \"source\": 3, \"target\": 8}, {\"weight\": 12909, \"source\": 3, \"target\": 6}, {\"weight\": 12841, \"source\": 3, \"target\": 5}, {\"weight\": 3808, \"source\": 3, \"target\": 7}, {\"weight\": 12537, \"source\": 4, \"target\": 8}, {\"weight\": 13035, \"source\": 4, \"target\": 6}, {\"weight\": 7183, \"source\": 4, \"target\": 5}, {\"weight\": 13064, \"source\": 4, \"target\": 7}, {\"weight\": 10828, \"source\": 5, \"target\": 8}, {\"weight\": 6604, \"source\": 5, \"target\": 6}, {\"weight\": 12043, \"source\": 5, \"target\": 7}, {\"weight\": 9536, \"source\": 6, \"target\": 8}, {\"weight\": 12044, \"source\": 6, \"target\": 7}, {\"weight\": 3763, \"source\": 7, \"target\": 8}]}",
"id": 2235,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LGI, VNS, MDQ, NUX, ENA, LCE, IOS, OSW, JSY\n- Travel distances (in kilometers) between each pair of airports:\nLGI to NUX: 11856\nLGI to VNS: 14505\nLGI to ENA: 7082\nLGI to MDQ: 7907\nLGI to JSY: 9824\nLGI to IOS: 7022\nLGI to LCE: 1774\nLGI to OSW: 11039\nVNS to NUX: 4940\nVNS to ENA: 14645\nVNS to MDQ: 17083\nVNS to JSY: 5771\nVNS to IOS: 15011\nVNS to LCE: 15485\nVNS to OSW: 6426\nMDQ to NUX: 16188\nMDQ to ENA: 13958\nMDQ to JSY: 12651\nMDQ to IOS: 3312\nMDQ to LCE: 6869\nMDQ to OSW: 15319\nNUX to ENA: 13881\nNUX to JSY: 4667\nNUX to IOS: 12909\nNUX to LCE: 12841\nNUX to OSW: 3808\nENA to JSY: 12537\nENA to IOS: 13035\nENA to LCE: 7183\nENA to OSW: 13064\nLCE to JSY: 10828\nLCE to IOS: 6604\nLCE to OSW: 12043\nIOS to JSY: 9536\nIOS to OSW: 12044\nOSW to JSY: 3763\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TZA, TJU, ASF, BOM, BCD, TFF, NNM, ALW, DOH\n- Travel distances (in kilometers) between each pair of airports:\nTZA to ASF: 11714\nTZA to BCD: 15637\nTZA to NNM: 11251\nTZA to BOM: 15467\nTZA to DOH: 13584\nTZA to TFF: 4465\nTZA to ALW: 4924\nTZA to TJU: 13522\nTJU to ASF: 2348\nTJU to BCD: 6848\nTJU to NNM: 3649\nTJU to BOM: 3894\nTJU to DOH: 3169\nTJU to TFF: 14979\nTJU to ALW: 12576\nASF to BCD: 8178\nASF to NNM: 2930\nASF to BOM: 4116\nASF to DOH: 2444\nASF to TFF: 13133\nASF to ALW: 10768\nBOM to DOH: 2294\nBOM to BCD: 5693\nBOM to NNM: 5871\nBOM to TFF: 15755\nBOM to ALW: 13806\nBCD to NNM: 8915\nBCD to DOH: 7763\nBCD to TFF: 19755\nBCD to ALW: 11395\nTFF to NNM: 12841\nTFF to DOH: 13877\nTFF to ALW: 9116\nNNM to DOH: 5125\nNNM to ALW: 10305\nALW to DOH: 12650\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 50053,
"style": "rule"
}
|
{
"exact_answer": 50053,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"TZA\", \"id\": 0}, {\"name\": \"TJU\", \"id\": 1}, {\"name\": \"ASF\", \"id\": 2}, {\"name\": \"BOM\", \"id\": 3}, {\"name\": \"BCD\", \"id\": 4}, {\"name\": \"TFF\", \"id\": 5}, {\"name\": \"NNM\", \"id\": 6}, {\"name\": \"ALW\", \"id\": 7}, {\"name\": \"DOH\", \"id\": 8}], \"links\": [{\"weight\": 11714, \"source\": 0, \"target\": 2}, {\"weight\": 15637, \"source\": 0, \"target\": 4}, {\"weight\": 11251, \"source\": 0, \"target\": 6}, {\"weight\": 15467, \"source\": 0, \"target\": 3}, {\"weight\": 13584, \"source\": 0, \"target\": 8}, {\"weight\": 4465, \"source\": 0, \"target\": 5}, {\"weight\": 4924, \"source\": 0, \"target\": 7}, {\"weight\": 13522, \"source\": 0, \"target\": 1}, {\"weight\": 2348, \"source\": 1, \"target\": 2}, {\"weight\": 6848, \"source\": 1, \"target\": 4}, {\"weight\": 3649, \"source\": 1, \"target\": 6}, {\"weight\": 3894, \"source\": 1, \"target\": 3}, {\"weight\": 3169, \"source\": 1, \"target\": 8}, {\"weight\": 14979, \"source\": 1, \"target\": 5}, {\"weight\": 12576, \"source\": 1, \"target\": 7}, {\"weight\": 8178, \"source\": 2, \"target\": 4}, {\"weight\": 2930, \"source\": 2, \"target\": 6}, {\"weight\": 4116, \"source\": 2, \"target\": 3}, {\"weight\": 2444, \"source\": 2, \"target\": 8}, {\"weight\": 13133, \"source\": 2, \"target\": 5}, {\"weight\": 10768, \"source\": 2, \"target\": 7}, {\"weight\": 2294, \"source\": 3, \"target\": 8}, {\"weight\": 5693, \"source\": 3, \"target\": 4}, {\"weight\": 5871, \"source\": 3, \"target\": 6}, {\"weight\": 15755, \"source\": 3, \"target\": 5}, {\"weight\": 13806, \"source\": 3, \"target\": 7}, {\"weight\": 8915, \"source\": 4, \"target\": 6}, {\"weight\": 7763, \"source\": 4, \"target\": 8}, {\"weight\": 19755, \"source\": 4, \"target\": 5}, {\"weight\": 11395, \"source\": 4, \"target\": 7}, {\"weight\": 12841, \"source\": 5, \"target\": 6}, {\"weight\": 13877, \"source\": 5, \"target\": 8}, {\"weight\": 9116, \"source\": 5, \"target\": 7}, {\"weight\": 5125, \"source\": 6, \"target\": 8}, {\"weight\": 10305, \"source\": 6, \"target\": 7}, {\"weight\": 12650, \"source\": 7, \"target\": 8}]}",
"id": 2236,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TZA, TJU, ASF, BOM, BCD, TFF, NNM, ALW, DOH\n- Travel distances (in kilometers) between each pair of airports:\nTZA to ASF: 11714\nTZA to BCD: 15637\nTZA to NNM: 11251\nTZA to BOM: 15467\nTZA to DOH: 13584\nTZA to TFF: 4465\nTZA to ALW: 4924\nTZA to TJU: 13522\nTJU to ASF: 2348\nTJU to BCD: 6848\nTJU to NNM: 3649\nTJU to BOM: 3894\nTJU to DOH: 3169\nTJU to TFF: 14979\nTJU to ALW: 12576\nASF to BCD: 8178\nASF to NNM: 2930\nASF to BOM: 4116\nASF to DOH: 2444\nASF to TFF: 13133\nASF to ALW: 10768\nBOM to DOH: 2294\nBOM to BCD: 5693\nBOM to NNM: 5871\nBOM to TFF: 15755\nBOM to ALW: 13806\nBCD to NNM: 8915\nBCD to DOH: 7763\nBCD to TFF: 19755\nBCD to ALW: 11395\nTFF to NNM: 12841\nTFF to DOH: 13877\nTFF to ALW: 9116\nNNM to DOH: 5125\nNNM to ALW: 10305\nALW to DOH: 12650\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PND, REC, SJK, WWK, LCR, TKU, STD, KLX, PHF\n- Travel distances (in kilometers) between each pair of airports:\nPND to TKU: 9652\nPND to LCR: 3132\nPND to KLX: 10920\nPND to PHF: 2727\nPND to REC: 6864\nPND to SJK: 7225\nPND to WWK: 16721\nPND to STD: 3596\nREC to TKU: 9111\nREC to LCR: 6050\nREC to KLX: 8987\nREC to PHF: 7464\nREC to SJK: 2065\nREC to WWK: 19441\nREC to STD: 4877\nSJK to TKU: 11169\nSJK to LCR: 5753\nSJK to KLX: 10947\nSJK to PHF: 8386\nSJK to WWK: 18031\nSJK to STD: 5662\nWWK to TKU: 13781\nWWK to LCR: 19436\nWWK to KLX: 14707\nWWK to PHF: 16885\nWWK to STD: 19539\nLCR to TKU: 10916\nLCR to KLX: 11445\nLCR to PHF: 4602\nLCR to STD: 2467\nTKU to KLX: 2706\nTKU to PHF: 7017\nTKU to STD: 9842\nSTD to KLX: 10272\nSTD to PHF: 4206\nKLX to PHF: 8388\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 57729,
"style": "rule"
}
|
{
"exact_answer": 57729,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"PND\", \"id\": 0}, {\"name\": \"REC\", \"id\": 1}, {\"name\": \"SJK\", \"id\": 2}, {\"name\": \"WWK\", \"id\": 3}, {\"name\": \"LCR\", \"id\": 4}, {\"name\": \"TKU\", \"id\": 5}, {\"name\": \"STD\", \"id\": 6}, {\"name\": \"KLX\", \"id\": 7}, {\"name\": \"PHF\", \"id\": 8}], \"links\": [{\"weight\": 9652, \"source\": 0, \"target\": 5}, {\"weight\": 3132, \"source\": 0, \"target\": 4}, {\"weight\": 10920, \"source\": 0, \"target\": 7}, {\"weight\": 2727, \"source\": 0, \"target\": 8}, {\"weight\": 6864, \"source\": 0, \"target\": 1}, {\"weight\": 7225, \"source\": 0, \"target\": 2}, {\"weight\": 16721, \"source\": 0, \"target\": 3}, {\"weight\": 3596, \"source\": 0, \"target\": 6}, {\"weight\": 9111, \"source\": 1, \"target\": 5}, {\"weight\": 6050, \"source\": 1, \"target\": 4}, {\"weight\": 8987, \"source\": 1, \"target\": 7}, {\"weight\": 7464, \"source\": 1, \"target\": 8}, {\"weight\": 2065, \"source\": 1, \"target\": 2}, {\"weight\": 19441, \"source\": 1, \"target\": 3}, {\"weight\": 4877, \"source\": 1, \"target\": 6}, {\"weight\": 11169, \"source\": 2, \"target\": 5}, {\"weight\": 5753, \"source\": 2, \"target\": 4}, {\"weight\": 10947, \"source\": 2, \"target\": 7}, {\"weight\": 8386, \"source\": 2, \"target\": 8}, {\"weight\": 18031, \"source\": 2, \"target\": 3}, {\"weight\": 5662, \"source\": 2, \"target\": 6}, {\"weight\": 13781, \"source\": 3, \"target\": 5}, {\"weight\": 19436, \"source\": 3, \"target\": 4}, {\"weight\": 14707, \"source\": 3, \"target\": 7}, {\"weight\": 16885, \"source\": 3, \"target\": 8}, {\"weight\": 19539, \"source\": 3, \"target\": 6}, {\"weight\": 10916, \"source\": 4, \"target\": 5}, {\"weight\": 11445, \"source\": 4, \"target\": 7}, {\"weight\": 4602, \"source\": 4, \"target\": 8}, {\"weight\": 2467, \"source\": 4, \"target\": 6}, {\"weight\": 2706, \"source\": 5, \"target\": 7}, {\"weight\": 7017, \"source\": 5, \"target\": 8}, {\"weight\": 9842, \"source\": 5, \"target\": 6}, {\"weight\": 10272, \"source\": 6, \"target\": 7}, {\"weight\": 4206, \"source\": 6, \"target\": 8}, {\"weight\": 8388, \"source\": 7, \"target\": 8}]}",
"id": 2237,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PND, REC, SJK, WWK, LCR, TKU, STD, KLX, PHF\n- Travel distances (in kilometers) between each pair of airports:\nPND to TKU: 9652\nPND to LCR: 3132\nPND to KLX: 10920\nPND to PHF: 2727\nPND to REC: 6864\nPND to SJK: 7225\nPND to WWK: 16721\nPND to STD: 3596\nREC to TKU: 9111\nREC to LCR: 6050\nREC to KLX: 8987\nREC to PHF: 7464\nREC to SJK: 2065\nREC to WWK: 19441\nREC to STD: 4877\nSJK to TKU: 11169\nSJK to LCR: 5753\nSJK to KLX: 10947\nSJK to PHF: 8386\nSJK to WWK: 18031\nSJK to STD: 5662\nWWK to TKU: 13781\nWWK to LCR: 19436\nWWK to KLX: 14707\nWWK to PHF: 16885\nWWK to STD: 19539\nLCR to TKU: 10916\nLCR to KLX: 11445\nLCR to PHF: 4602\nLCR to STD: 2467\nTKU to KLX: 2706\nTKU to PHF: 7017\nTKU to STD: 9842\nSTD to KLX: 10272\nSTD to PHF: 4206\nKLX to PHF: 8388\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SLU, BVA, LFW, MKE, TGD, UAS, ASR, BIO, KGX\n- Travel distances (in kilometers) between each pair of airports:\nSLU to LFW: 9044\nSLU to BIO: 7640\nSLU to KGX: 9278\nSLU to BVA: 7420\nSLU to MKE: 4144\nSLU to TGD: 8419\nSLU to UAS: 13570\nSLU to ASR: 9771\nBVA to LFW: 4920\nBVA to BIO: 1373\nBVA to KGX: 10979\nBVA to MKE: 6661\nBVA to TGD: 1738\nBVA to UAS: 7487\nBVA to ASR: 2895\nLFW to BIO: 4344\nLFW to KGX: 14744\nLFW to MKE: 9586\nLFW to TGD: 4827\nLFW to UAS: 4600\nLFW to ASR: 5468\nMKE to BIO: 7073\nMKE to KGX: 5180\nMKE to TGD: 8177\nMKE to UAS: 13878\nMKE to ASR: 9457\nTGD to BIO: 1831\nTGD to KGX: 12365\nTGD to UAS: 6266\nTGD to ASR: 1430\nUAS to BIO: 7580\nUAS to KGX: 18184\nUAS to ASR: 6047\nASR to BIO: 3233\nASR to KGX: 13554\nBIO to KGX: 11568\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 44628,
"style": "rule"
}
|
{
"exact_answer": 44628,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"SLU\", \"id\": 0}, {\"name\": \"BVA\", \"id\": 1}, {\"name\": \"LFW\", \"id\": 2}, {\"name\": \"MKE\", \"id\": 3}, {\"name\": \"TGD\", \"id\": 4}, {\"name\": \"UAS\", \"id\": 5}, {\"name\": \"ASR\", \"id\": 6}, {\"name\": \"BIO\", \"id\": 7}, {\"name\": \"KGX\", \"id\": 8}], \"links\": [{\"weight\": 9044, \"source\": 0, \"target\": 2}, {\"weight\": 7640, \"source\": 0, \"target\": 7}, {\"weight\": 9278, \"source\": 0, \"target\": 8}, {\"weight\": 7420, \"source\": 0, \"target\": 1}, {\"weight\": 4144, \"source\": 0, \"target\": 3}, {\"weight\": 8419, \"source\": 0, \"target\": 4}, {\"weight\": 13570, \"source\": 0, \"target\": 5}, {\"weight\": 9771, \"source\": 0, \"target\": 6}, {\"weight\": 4920, \"source\": 1, \"target\": 2}, {\"weight\": 1373, \"source\": 1, \"target\": 7}, {\"weight\": 10979, \"source\": 1, \"target\": 8}, {\"weight\": 6661, \"source\": 1, \"target\": 3}, {\"weight\": 1738, \"source\": 1, \"target\": 4}, {\"weight\": 7487, \"source\": 1, \"target\": 5}, {\"weight\": 2895, \"source\": 1, \"target\": 6}, {\"weight\": 4344, \"source\": 2, \"target\": 7}, {\"weight\": 14744, \"source\": 2, \"target\": 8}, {\"weight\": 9586, \"source\": 2, \"target\": 3}, {\"weight\": 4827, \"source\": 2, \"target\": 4}, {\"weight\": 4600, \"source\": 2, \"target\": 5}, {\"weight\": 5468, \"source\": 2, \"target\": 6}, {\"weight\": 7073, \"source\": 3, \"target\": 7}, {\"weight\": 5180, \"source\": 3, \"target\": 8}, {\"weight\": 8177, \"source\": 3, \"target\": 4}, {\"weight\": 13878, \"source\": 3, \"target\": 5}, {\"weight\": 9457, \"source\": 3, \"target\": 6}, {\"weight\": 1831, \"source\": 4, \"target\": 7}, {\"weight\": 12365, \"source\": 4, \"target\": 8}, {\"weight\": 6266, \"source\": 4, \"target\": 5}, {\"weight\": 1430, \"source\": 4, \"target\": 6}, {\"weight\": 7580, \"source\": 5, \"target\": 7}, {\"weight\": 18184, \"source\": 5, \"target\": 8}, {\"weight\": 6047, \"source\": 5, \"target\": 6}, {\"weight\": 3233, \"source\": 6, \"target\": 7}, {\"weight\": 13554, \"source\": 6, \"target\": 8}, {\"weight\": 11568, \"source\": 7, \"target\": 8}]}",
"id": 2238,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SLU, BVA, LFW, MKE, TGD, UAS, ASR, BIO, KGX\n- Travel distances (in kilometers) between each pair of airports:\nSLU to LFW: 9044\nSLU to BIO: 7640\nSLU to KGX: 9278\nSLU to BVA: 7420\nSLU to MKE: 4144\nSLU to TGD: 8419\nSLU to UAS: 13570\nSLU to ASR: 9771\nBVA to LFW: 4920\nBVA to BIO: 1373\nBVA to KGX: 10979\nBVA to MKE: 6661\nBVA to TGD: 1738\nBVA to UAS: 7487\nBVA to ASR: 2895\nLFW to BIO: 4344\nLFW to KGX: 14744\nLFW to MKE: 9586\nLFW to TGD: 4827\nLFW to UAS: 4600\nLFW to ASR: 5468\nMKE to BIO: 7073\nMKE to KGX: 5180\nMKE to TGD: 8177\nMKE to UAS: 13878\nMKE to ASR: 9457\nTGD to BIO: 1831\nTGD to KGX: 12365\nTGD to UAS: 6266\nTGD to ASR: 1430\nUAS to BIO: 7580\nUAS to KGX: 18184\nUAS to ASR: 6047\nASR to BIO: 3233\nASR to KGX: 13554\nBIO to KGX: 11568\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BVS, ASW, PQC, KXU, WWP, HVG, YZS, BEJ, SAP\n- Travel distances (in kilometers) between each pair of airports:\nBVS to YZS: 8906\nBVS to SAP: 5214\nBVS to PQC: 18196\nBVS to BEJ: 19956\nBVS to WWP: 10360\nBVS to ASW: 10996\nBVS to KXU: 13673\nBVS to HVG: 10905\nASW to YZS: 11147\nASW to SAP: 12544\nASW to PQC: 8262\nASW to BEJ: 9893\nASW to WWP: 13027\nASW to KXU: 19914\nASW to HVG: 5552\nPQC to YZS: 15484\nPQC to SAP: 16910\nPQC to BEJ: 3242\nPQC to WWP: 13447\nPQC to KXU: 13653\nPQC to HVG: 10265\nKXU to YZS: 11405\nKXU to SAP: 10728\nKXU to BEJ: 12187\nKXU to WWP: 9741\nKXU to HVG: 16808\nWWP to YZS: 4725\nWWP to SAP: 6011\nWWP to BEJ: 14330\nWWP to HVG: 9734\nHVG to YZS: 9479\nHVG to SAP: 9988\nHVG to BEJ: 12532\nYZS to SAP: 5928\nYZS to BEJ: 16263\nBEJ to SAP: 17890\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 65756,
"style": "rule"
}
|
{
"exact_answer": 65756,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"BVS\", \"id\": 0}, {\"name\": \"ASW\", \"id\": 1}, {\"name\": \"PQC\", \"id\": 2}, {\"name\": \"KXU\", \"id\": 3}, {\"name\": \"WWP\", \"id\": 4}, {\"name\": \"HVG\", \"id\": 5}, {\"name\": \"YZS\", \"id\": 6}, {\"name\": \"BEJ\", \"id\": 7}, {\"name\": \"SAP\", \"id\": 8}], \"links\": [{\"weight\": 8906, \"source\": 0, \"target\": 6}, {\"weight\": 5214, \"source\": 0, \"target\": 8}, {\"weight\": 18196, \"source\": 0, \"target\": 2}, {\"weight\": 19956, \"source\": 0, \"target\": 7}, {\"weight\": 10360, \"source\": 0, \"target\": 4}, {\"weight\": 10996, \"source\": 0, \"target\": 1}, {\"weight\": 13673, \"source\": 0, \"target\": 3}, {\"weight\": 10905, \"source\": 0, \"target\": 5}, {\"weight\": 11147, \"source\": 1, \"target\": 6}, {\"weight\": 12544, \"source\": 1, \"target\": 8}, {\"weight\": 8262, \"source\": 1, \"target\": 2}, {\"weight\": 9893, \"source\": 1, \"target\": 7}, {\"weight\": 13027, \"source\": 1, \"target\": 4}, {\"weight\": 19914, \"source\": 1, \"target\": 3}, {\"weight\": 5552, \"source\": 1, \"target\": 5}, {\"weight\": 15484, \"source\": 2, \"target\": 6}, {\"weight\": 16910, \"source\": 2, \"target\": 8}, {\"weight\": 3242, \"source\": 2, \"target\": 7}, {\"weight\": 13447, \"source\": 2, \"target\": 4}, {\"weight\": 13653, \"source\": 2, \"target\": 3}, {\"weight\": 10265, \"source\": 2, \"target\": 5}, {\"weight\": 11405, \"source\": 3, \"target\": 6}, {\"weight\": 10728, \"source\": 3, \"target\": 8}, {\"weight\": 12187, \"source\": 3, \"target\": 7}, {\"weight\": 9741, \"source\": 3, \"target\": 4}, {\"weight\": 16808, \"source\": 3, \"target\": 5}, {\"weight\": 4725, \"source\": 4, \"target\": 6}, {\"weight\": 6011, \"source\": 4, \"target\": 8}, {\"weight\": 14330, \"source\": 4, \"target\": 7}, {\"weight\": 9734, \"source\": 4, \"target\": 5}, {\"weight\": 9479, \"source\": 5, \"target\": 6}, {\"weight\": 9988, \"source\": 5, \"target\": 8}, {\"weight\": 12532, \"source\": 5, \"target\": 7}, {\"weight\": 5928, \"source\": 6, \"target\": 8}, {\"weight\": 16263, \"source\": 6, \"target\": 7}, {\"weight\": 17890, \"source\": 7, \"target\": 8}]}",
"id": 2239,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BVS, ASW, PQC, KXU, WWP, HVG, YZS, BEJ, SAP\n- Travel distances (in kilometers) between each pair of airports:\nBVS to YZS: 8906\nBVS to SAP: 5214\nBVS to PQC: 18196\nBVS to BEJ: 19956\nBVS to WWP: 10360\nBVS to ASW: 10996\nBVS to KXU: 13673\nBVS to HVG: 10905\nASW to YZS: 11147\nASW to SAP: 12544\nASW to PQC: 8262\nASW to BEJ: 9893\nASW to WWP: 13027\nASW to KXU: 19914\nASW to HVG: 5552\nPQC to YZS: 15484\nPQC to SAP: 16910\nPQC to BEJ: 3242\nPQC to WWP: 13447\nPQC to KXU: 13653\nPQC to HVG: 10265\nKXU to YZS: 11405\nKXU to SAP: 10728\nKXU to BEJ: 12187\nKXU to WWP: 9741\nKXU to HVG: 16808\nWWP to YZS: 4725\nWWP to SAP: 6011\nWWP to BEJ: 14330\nWWP to HVG: 9734\nHVG to YZS: 9479\nHVG to SAP: 9988\nHVG to BEJ: 12532\nYZS to SAP: 5928\nYZS to BEJ: 16263\nBEJ to SAP: 17890\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: URJ, TBI, SZX, MTE, BOJ, KSM, GIS, PMF, SSG\n- Travel distances (in kilometers) between each pair of airports:\nURJ to SZX: 5948\nURJ to KSM: 13820\nURJ to SSG: 7975\nURJ to BOJ: 3475\nURJ to PMF: 5082\nURJ to MTE: 13059\nURJ to GIS: 15088\nURJ to TBI: 11084\nTBI to SZX: 14806\nTBI to KSM: 7597\nTBI to SSG: 11104\nTBI to BOJ: 9518\nTBI to PMF: 8585\nTBI to MTE: 4919\nTBI to GIS: 15092\nSZX to KSM: 13450\nSZX to SSG: 11504\nSZX to BOJ: 8752\nSZX to PMF: 10313\nSZX to MTE: 18284\nSZX to GIS: 10127\nMTE to KSM: 11723\nMTE to SSG: 8360\nMTE to BOJ: 10433\nMTE to PMF: 9487\nMTE to GIS: 15862\nBOJ to KSM: 12788\nBOJ to SSG: 5434\nBOJ to PMF: 2107\nBOJ to GIS: 18198\nKSM to SSG: 15518\nKSM to PMF: 11808\nKSM to GIS: 12604\nGIS to SSG: 17471\nGIS to PMF: 19613\nPMF to SSG: 5490\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 60627,
"style": "rule"
}
|
{
"exact_answer": 60627,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"URJ\", \"id\": 0}, {\"name\": \"TBI\", \"id\": 1}, {\"name\": \"SZX\", \"id\": 2}, {\"name\": \"MTE\", \"id\": 3}, {\"name\": \"BOJ\", \"id\": 4}, {\"name\": \"KSM\", \"id\": 5}, {\"name\": \"GIS\", \"id\": 6}, {\"name\": \"PMF\", \"id\": 7}, {\"name\": \"SSG\", \"id\": 8}], \"links\": [{\"weight\": 5948, \"source\": 0, \"target\": 2}, {\"weight\": 13820, \"source\": 0, \"target\": 5}, {\"weight\": 7975, \"source\": 0, \"target\": 8}, {\"weight\": 3475, \"source\": 0, \"target\": 4}, {\"weight\": 5082, \"source\": 0, \"target\": 7}, {\"weight\": 13059, \"source\": 0, \"target\": 3}, {\"weight\": 15088, \"source\": 0, \"target\": 6}, {\"weight\": 11084, \"source\": 0, \"target\": 1}, {\"weight\": 14806, \"source\": 1, \"target\": 2}, {\"weight\": 7597, \"source\": 1, \"target\": 5}, {\"weight\": 11104, \"source\": 1, \"target\": 8}, {\"weight\": 9518, \"source\": 1, \"target\": 4}, {\"weight\": 8585, \"source\": 1, \"target\": 7}, {\"weight\": 4919, \"source\": 1, \"target\": 3}, {\"weight\": 15092, \"source\": 1, \"target\": 6}, {\"weight\": 13450, \"source\": 2, \"target\": 5}, {\"weight\": 11504, \"source\": 2, \"target\": 8}, {\"weight\": 8752, \"source\": 2, \"target\": 4}, {\"weight\": 10313, \"source\": 2, \"target\": 7}, {\"weight\": 18284, \"source\": 2, \"target\": 3}, {\"weight\": 10127, \"source\": 2, \"target\": 6}, {\"weight\": 11723, \"source\": 3, \"target\": 5}, {\"weight\": 8360, \"source\": 3, \"target\": 8}, {\"weight\": 10433, \"source\": 3, \"target\": 4}, {\"weight\": 9487, \"source\": 3, \"target\": 7}, {\"weight\": 15862, \"source\": 3, \"target\": 6}, {\"weight\": 12788, \"source\": 4, \"target\": 5}, {\"weight\": 5434, \"source\": 4, \"target\": 8}, {\"weight\": 2107, \"source\": 4, \"target\": 7}, {\"weight\": 18198, \"source\": 4, \"target\": 6}, {\"weight\": 15518, \"source\": 5, \"target\": 8}, {\"weight\": 11808, \"source\": 5, \"target\": 7}, {\"weight\": 12604, \"source\": 5, \"target\": 6}, {\"weight\": 17471, \"source\": 6, \"target\": 8}, {\"weight\": 19613, \"source\": 6, \"target\": 7}, {\"weight\": 5490, \"source\": 7, \"target\": 8}]}",
"id": 2240,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: URJ, TBI, SZX, MTE, BOJ, KSM, GIS, PMF, SSG\n- Travel distances (in kilometers) between each pair of airports:\nURJ to SZX: 5948\nURJ to KSM: 13820\nURJ to SSG: 7975\nURJ to BOJ: 3475\nURJ to PMF: 5082\nURJ to MTE: 13059\nURJ to GIS: 15088\nURJ to TBI: 11084\nTBI to SZX: 14806\nTBI to KSM: 7597\nTBI to SSG: 11104\nTBI to BOJ: 9518\nTBI to PMF: 8585\nTBI to MTE: 4919\nTBI to GIS: 15092\nSZX to KSM: 13450\nSZX to SSG: 11504\nSZX to BOJ: 8752\nSZX to PMF: 10313\nSZX to MTE: 18284\nSZX to GIS: 10127\nMTE to KSM: 11723\nMTE to SSG: 8360\nMTE to BOJ: 10433\nMTE to PMF: 9487\nMTE to GIS: 15862\nBOJ to KSM: 12788\nBOJ to SSG: 5434\nBOJ to PMF: 2107\nBOJ to GIS: 18198\nKSM to SSG: 15518\nKSM to PMF: 11808\nKSM to GIS: 12604\nGIS to SSG: 17471\nGIS to PMF: 19613\nPMF to SSG: 5490\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SLI, PEC, CTU, AUA, LCG, MAN, TIU, SBY, FLO\n- Travel distances (in kilometers) between each pair of airports:\nSLI to AUA: 13484\nSLI to CTU: 9754\nSLI to MAN: 8670\nSLI to FLO: 13305\nSLI to SBY: 12597\nSLI to LCG: 7985\nSLI to PEC: 17683\nSLI to TIU: 15310\nPEC to AUA: 7774\nPEC to CTU: 11802\nPEC to MAN: 9031\nPEC to FLO: 5386\nPEC to SBY: 5555\nPEC to LCG: 10353\nPEC to TIU: 13505\nCTU to AUA: 15684\nCTU to MAN: 8332\nCTU to FLO: 13167\nCTU to SBY: 12823\nCTU to LCG: 9386\nCTU to TIU: 11250\nAUA to MAN: 7737\nAUA to FLO: 2913\nAUA to SBY: 3257\nAUA to LCG: 7399\nAUA to TIU: 15801\nLCG to MAN: 1327\nLCG to FLO: 6937\nLCG to SBY: 6229\nLCG to TIU: 20431\nMAN to FLO: 6390\nMAN to SBY: 5682\nMAN to TIU: 19396\nTIU to FLO: 14977\nTIU to SBY: 15413\nSBY to FLO: 754\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 60780,
"style": "rule"
}
|
{
"exact_answer": 60780,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"SLI\", \"id\": 0}, {\"name\": \"PEC\", \"id\": 1}, {\"name\": \"CTU\", \"id\": 2}, {\"name\": \"AUA\", \"id\": 3}, {\"name\": \"LCG\", \"id\": 4}, {\"name\": \"MAN\", \"id\": 5}, {\"name\": \"TIU\", \"id\": 6}, {\"name\": \"SBY\", \"id\": 7}, {\"name\": \"FLO\", \"id\": 8}], \"links\": [{\"weight\": 13484, \"source\": 0, \"target\": 3}, {\"weight\": 9754, \"source\": 0, \"target\": 2}, {\"weight\": 8670, \"source\": 0, \"target\": 5}, {\"weight\": 13305, \"source\": 0, \"target\": 8}, {\"weight\": 12597, \"source\": 0, \"target\": 7}, {\"weight\": 7985, \"source\": 0, \"target\": 4}, {\"weight\": 17683, \"source\": 0, \"target\": 1}, {\"weight\": 15310, \"source\": 0, \"target\": 6}, {\"weight\": 7774, \"source\": 1, \"target\": 3}, {\"weight\": 11802, \"source\": 1, \"target\": 2}, {\"weight\": 9031, \"source\": 1, \"target\": 5}, {\"weight\": 5386, \"source\": 1, \"target\": 8}, {\"weight\": 5555, \"source\": 1, \"target\": 7}, {\"weight\": 10353, \"source\": 1, \"target\": 4}, {\"weight\": 13505, \"source\": 1, \"target\": 6}, {\"weight\": 15684, \"source\": 2, \"target\": 3}, {\"weight\": 8332, \"source\": 2, \"target\": 5}, {\"weight\": 13167, \"source\": 2, \"target\": 8}, {\"weight\": 12823, \"source\": 2, \"target\": 7}, {\"weight\": 9386, \"source\": 2, \"target\": 4}, {\"weight\": 11250, \"source\": 2, \"target\": 6}, {\"weight\": 7737, \"source\": 3, \"target\": 5}, {\"weight\": 2913, \"source\": 3, \"target\": 8}, {\"weight\": 3257, \"source\": 3, \"target\": 7}, {\"weight\": 7399, \"source\": 3, \"target\": 4}, {\"weight\": 15801, \"source\": 3, \"target\": 6}, {\"weight\": 1327, \"source\": 4, \"target\": 5}, {\"weight\": 6937, \"source\": 4, \"target\": 8}, {\"weight\": 6229, \"source\": 4, \"target\": 7}, {\"weight\": 20431, \"source\": 4, \"target\": 6}, {\"weight\": 6390, \"source\": 5, \"target\": 8}, {\"weight\": 5682, \"source\": 5, \"target\": 7}, {\"weight\": 19396, \"source\": 5, \"target\": 6}, {\"weight\": 14977, \"source\": 6, \"target\": 8}, {\"weight\": 15413, \"source\": 6, \"target\": 7}, {\"weight\": 754, \"source\": 7, \"target\": 8}]}",
"id": 2241,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SLI, PEC, CTU, AUA, LCG, MAN, TIU, SBY, FLO\n- Travel distances (in kilometers) between each pair of airports:\nSLI to AUA: 13484\nSLI to CTU: 9754\nSLI to MAN: 8670\nSLI to FLO: 13305\nSLI to SBY: 12597\nSLI to LCG: 7985\nSLI to PEC: 17683\nSLI to TIU: 15310\nPEC to AUA: 7774\nPEC to CTU: 11802\nPEC to MAN: 9031\nPEC to FLO: 5386\nPEC to SBY: 5555\nPEC to LCG: 10353\nPEC to TIU: 13505\nCTU to AUA: 15684\nCTU to MAN: 8332\nCTU to FLO: 13167\nCTU to SBY: 12823\nCTU to LCG: 9386\nCTU to TIU: 11250\nAUA to MAN: 7737\nAUA to FLO: 2913\nAUA to SBY: 3257\nAUA to LCG: 7399\nAUA to TIU: 15801\nLCG to MAN: 1327\nLCG to FLO: 6937\nLCG to SBY: 6229\nLCG to TIU: 20431\nMAN to FLO: 6390\nMAN to SBY: 5682\nMAN to TIU: 19396\nTIU to FLO: 14977\nTIU to SBY: 15413\nSBY to FLO: 754\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TKK, GDN, ZIH, ULZ, YAA, PBJ, REP, BCD, SGC\n- Travel distances (in kilometers) between each pair of airports:\nTKK to REP: 5446\nTKK to ZIH: 12455\nTKK to BCD: 4064\nTKK to SGC: 8924\nTKK to YAA: 10613\nTKK to GDN: 12037\nTKK to ULZ: 6957\nTKK to PBJ: 6151\nGDN to REP: 8762\nGDN to ZIH: 10234\nGDN to BCD: 10192\nGDN to SGC: 3580\nGDN to YAA: 8637\nGDN to ULZ: 6821\nGDN to PBJ: 16239\nZIH to REP: 15587\nZIH to BCD: 14630\nZIH to SGC: 13155\nZIH to YAA: 4422\nZIH to ULZ: 14417\nZIH to PBJ: 12475\nULZ to REP: 4911\nULZ to BCD: 5257\nULZ to SGC: 4719\nULZ to YAA: 10789\nULZ to PBJ: 11317\nYAA to REP: 12079\nYAA to BCD: 11293\nYAA to SGC: 11536\nYAA to PBJ: 10956\nPBJ to REP: 8617\nPBJ to BCD: 6330\nPBJ to SGC: 13131\nREP to BCD: 2336\nREP to SGC: 6073\nBCD to SGC: 6971\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 51295,
"style": "rule"
}
|
{
"exact_answer": 51295,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"TKK\", \"id\": 0}, {\"name\": \"GDN\", \"id\": 1}, {\"name\": \"ZIH\", \"id\": 2}, {\"name\": \"ULZ\", \"id\": 3}, {\"name\": \"YAA\", \"id\": 4}, {\"name\": \"PBJ\", \"id\": 5}, {\"name\": \"REP\", \"id\": 6}, {\"name\": \"BCD\", \"id\": 7}, {\"name\": \"SGC\", \"id\": 8}], \"links\": [{\"weight\": 5446, \"source\": 0, \"target\": 6}, {\"weight\": 12455, \"source\": 0, \"target\": 2}, {\"weight\": 4064, \"source\": 0, \"target\": 7}, {\"weight\": 8924, \"source\": 0, \"target\": 8}, {\"weight\": 10613, \"source\": 0, \"target\": 4}, {\"weight\": 12037, \"source\": 0, \"target\": 1}, {\"weight\": 6957, \"source\": 0, \"target\": 3}, {\"weight\": 6151, \"source\": 0, \"target\": 5}, {\"weight\": 8762, \"source\": 1, \"target\": 6}, {\"weight\": 10234, \"source\": 1, \"target\": 2}, {\"weight\": 10192, \"source\": 1, \"target\": 7}, {\"weight\": 3580, \"source\": 1, \"target\": 8}, {\"weight\": 8637, \"source\": 1, \"target\": 4}, {\"weight\": 6821, \"source\": 1, \"target\": 3}, {\"weight\": 16239, \"source\": 1, \"target\": 5}, {\"weight\": 15587, \"source\": 2, \"target\": 6}, {\"weight\": 14630, \"source\": 2, \"target\": 7}, {\"weight\": 13155, \"source\": 2, \"target\": 8}, {\"weight\": 4422, \"source\": 2, \"target\": 4}, {\"weight\": 14417, \"source\": 2, \"target\": 3}, {\"weight\": 12475, \"source\": 2, \"target\": 5}, {\"weight\": 4911, \"source\": 3, \"target\": 6}, {\"weight\": 5257, \"source\": 3, \"target\": 7}, {\"weight\": 4719, \"source\": 3, \"target\": 8}, {\"weight\": 10789, \"source\": 3, \"target\": 4}, {\"weight\": 11317, \"source\": 3, \"target\": 5}, {\"weight\": 12079, \"source\": 4, \"target\": 6}, {\"weight\": 11293, \"source\": 4, \"target\": 7}, {\"weight\": 11536, \"source\": 4, \"target\": 8}, {\"weight\": 10956, \"source\": 4, \"target\": 5}, {\"weight\": 8617, \"source\": 5, \"target\": 6}, {\"weight\": 6330, \"source\": 5, \"target\": 7}, {\"weight\": 13131, \"source\": 5, \"target\": 8}, {\"weight\": 2336, \"source\": 6, \"target\": 7}, {\"weight\": 6073, \"source\": 6, \"target\": 8}, {\"weight\": 6971, \"source\": 7, \"target\": 8}]}",
"id": 2242,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TKK, GDN, ZIH, ULZ, YAA, PBJ, REP, BCD, SGC\n- Travel distances (in kilometers) between each pair of airports:\nTKK to REP: 5446\nTKK to ZIH: 12455\nTKK to BCD: 4064\nTKK to SGC: 8924\nTKK to YAA: 10613\nTKK to GDN: 12037\nTKK to ULZ: 6957\nTKK to PBJ: 6151\nGDN to REP: 8762\nGDN to ZIH: 10234\nGDN to BCD: 10192\nGDN to SGC: 3580\nGDN to YAA: 8637\nGDN to ULZ: 6821\nGDN to PBJ: 16239\nZIH to REP: 15587\nZIH to BCD: 14630\nZIH to SGC: 13155\nZIH to YAA: 4422\nZIH to ULZ: 14417\nZIH to PBJ: 12475\nULZ to REP: 4911\nULZ to BCD: 5257\nULZ to SGC: 4719\nULZ to YAA: 10789\nULZ to PBJ: 11317\nYAA to REP: 12079\nYAA to BCD: 11293\nYAA to SGC: 11536\nYAA to PBJ: 10956\nPBJ to REP: 8617\nPBJ to BCD: 6330\nPBJ to SGC: 13131\nREP to BCD: 2336\nREP to SGC: 6073\nBCD to SGC: 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: SVG, CBQ, YNJ, PIZ, STM, PSS, LUZ, YQG, MUW\n- Travel distances (in kilometers) between each pair of airports:\nSVG to PIZ: 10956\nSVG to YQG: 6071\nSVG to STM: 9884\nSVG to MUW: 2792\nSVG to PSS: 12892\nSVG to YNJ: 8508\nSVG to LUZ: 1377\nSVG to CBQ: 6027\nCBQ to PIZ: 16055\nCBQ to YQG: 9927\nCBQ to STM: 8179\nCBQ to MUW: 4112\nCBQ to PSS: 9425\nCBQ to YNJ: 12544\nCBQ to LUZ: 5913\nYNJ to PIZ: 12584\nYNJ to YQG: 11583\nYNJ to STM: 17564\nYNJ to MUW: 10539\nYNJ to PSS: 20992\nYNJ to LUZ: 8638\nPIZ to YQG: 6777\nPIZ to STM: 12258\nPIZ to MUW: 13205\nPIZ to PSS: 15596\nPIZ to LUZ: 12333\nSTM to YQG: 6692\nSTM to MUW: 8476\nSTM to PSS: 5572\nSTM to LUZ: 10247\nPSS to YQG: 10349\nPSS to MUW: 11433\nPSS to LUZ: 13208\nLUZ to YQG: 7426\nLUZ to MUW: 2598\nYQG to MUW: 7414\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 57645,
"style": "rule"
}
|
{
"exact_answer": 57645,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"SVG\", \"id\": 0}, {\"name\": \"CBQ\", \"id\": 1}, {\"name\": \"YNJ\", \"id\": 2}, {\"name\": \"PIZ\", \"id\": 3}, {\"name\": \"STM\", \"id\": 4}, {\"name\": \"PSS\", \"id\": 5}, {\"name\": \"LUZ\", \"id\": 6}, {\"name\": \"YQG\", \"id\": 7}, {\"name\": \"MUW\", \"id\": 8}], \"links\": [{\"weight\": 10956, \"source\": 0, \"target\": 3}, {\"weight\": 6071, \"source\": 0, \"target\": 7}, {\"weight\": 9884, \"source\": 0, \"target\": 4}, {\"weight\": 2792, \"source\": 0, \"target\": 8}, {\"weight\": 12892, \"source\": 0, \"target\": 5}, {\"weight\": 8508, \"source\": 0, \"target\": 2}, {\"weight\": 1377, \"source\": 0, \"target\": 6}, {\"weight\": 6027, \"source\": 0, \"target\": 1}, {\"weight\": 16055, \"source\": 1, \"target\": 3}, {\"weight\": 9927, \"source\": 1, \"target\": 7}, {\"weight\": 8179, \"source\": 1, \"target\": 4}, {\"weight\": 4112, \"source\": 1, \"target\": 8}, {\"weight\": 9425, \"source\": 1, \"target\": 5}, {\"weight\": 12544, \"source\": 1, \"target\": 2}, {\"weight\": 5913, \"source\": 1, \"target\": 6}, {\"weight\": 12584, \"source\": 2, \"target\": 3}, {\"weight\": 11583, \"source\": 2, \"target\": 7}, {\"weight\": 17564, \"source\": 2, \"target\": 4}, {\"weight\": 10539, \"source\": 2, \"target\": 8}, {\"weight\": 20992, \"source\": 2, \"target\": 5}, {\"weight\": 8638, \"source\": 2, \"target\": 6}, {\"weight\": 6777, \"source\": 3, \"target\": 7}, {\"weight\": 12258, \"source\": 3, \"target\": 4}, {\"weight\": 13205, \"source\": 3, \"target\": 8}, {\"weight\": 15596, \"source\": 3, \"target\": 5}, {\"weight\": 12333, \"source\": 3, \"target\": 6}, {\"weight\": 6692, \"source\": 4, \"target\": 7}, {\"weight\": 8476, \"source\": 4, \"target\": 8}, {\"weight\": 5572, \"source\": 4, \"target\": 5}, {\"weight\": 10247, \"source\": 4, \"target\": 6}, {\"weight\": 10349, \"source\": 5, \"target\": 7}, {\"weight\": 11433, \"source\": 5, \"target\": 8}, {\"weight\": 13208, \"source\": 5, \"target\": 6}, {\"weight\": 7426, \"source\": 6, \"target\": 7}, {\"weight\": 2598, \"source\": 6, \"target\": 8}, {\"weight\": 7414, \"source\": 7, \"target\": 8}]}",
"id": 2243,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SVG, CBQ, YNJ, PIZ, STM, PSS, LUZ, YQG, MUW\n- Travel distances (in kilometers) between each pair of airports:\nSVG to PIZ: 10956\nSVG to YQG: 6071\nSVG to STM: 9884\nSVG to MUW: 2792\nSVG to PSS: 12892\nSVG to YNJ: 8508\nSVG to LUZ: 1377\nSVG to CBQ: 6027\nCBQ to PIZ: 16055\nCBQ to YQG: 9927\nCBQ to STM: 8179\nCBQ to MUW: 4112\nCBQ to PSS: 9425\nCBQ to YNJ: 12544\nCBQ to LUZ: 5913\nYNJ to PIZ: 12584\nYNJ to YQG: 11583\nYNJ to STM: 17564\nYNJ to MUW: 10539\nYNJ to PSS: 20992\nYNJ to LUZ: 8638\nPIZ to YQG: 6777\nPIZ to STM: 12258\nPIZ to MUW: 13205\nPIZ to PSS: 15596\nPIZ to LUZ: 12333\nSTM to YQG: 6692\nSTM to MUW: 8476\nSTM to PSS: 5572\nSTM to LUZ: 10247\nPSS to YQG: 10349\nPSS to MUW: 11433\nPSS to LUZ: 13208\nLUZ to YQG: 7426\nLUZ to MUW: 2598\nYQG to MUW: 7414\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, LWB, AKU, ALF, SHL, RMQ, YCU, PKB, ETR\n- Travel distances (in kilometers) between each pair of airports:\nAEX to LWB: 1396\nAEX to RMQ: 13032\nAEX to SHL: 15464\nAEX to AKU: 13845\nAEX to YCU: 12498\nAEX to ALF: 8735\nAEX to ETR: 4531\nAEX to PKB: 1928\nLWB to RMQ: 13026\nLWB to SHL: 14192\nLWB to AKU: 12479\nLWB to YCU: 12126\nLWB to ALF: 7357\nLWB to ETR: 4829\nLWB to PKB: 978\nAKU to RMQ: 4219\nAKU to SHL: 4831\nAKU to YCU: 2888\nAKU to ALF: 6554\nAKU to ETR: 16445\nAKU to PKB: 12393\nALF to RMQ: 9579\nALF to SHL: 8337\nALF to YCU: 8128\nALF to ETR: 11704\nALF to PKB: 7292\nSHL to RMQ: 3776\nSHL to YCU: 3354\nSHL to ETR: 18159\nSHL to PKB: 14012\nRMQ to YCU: 1537\nRMQ to ETR: 17085\nRMQ to PKB: 12620\nYCU to ETR: 16504\nYCU to PKB: 11762\nPKB to ETR: 5294\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 46826,
"style": "rule"
}
|
{
"exact_answer": 46826,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"AEX\", \"id\": 0}, {\"name\": \"LWB\", \"id\": 1}, {\"name\": \"AKU\", \"id\": 2}, {\"name\": \"ALF\", \"id\": 3}, {\"name\": \"SHL\", \"id\": 4}, {\"name\": \"RMQ\", \"id\": 5}, {\"name\": \"YCU\", \"id\": 6}, {\"name\": \"PKB\", \"id\": 7}, {\"name\": \"ETR\", \"id\": 8}], \"links\": [{\"weight\": 1396, \"source\": 0, \"target\": 1}, {\"weight\": 13032, \"source\": 0, \"target\": 5}, {\"weight\": 15464, \"source\": 0, \"target\": 4}, {\"weight\": 13845, \"source\": 0, \"target\": 2}, {\"weight\": 12498, \"source\": 0, \"target\": 6}, {\"weight\": 8735, \"source\": 0, \"target\": 3}, {\"weight\": 4531, \"source\": 0, \"target\": 8}, {\"weight\": 1928, \"source\": 0, \"target\": 7}, {\"weight\": 13026, \"source\": 1, \"target\": 5}, {\"weight\": 14192, \"source\": 1, \"target\": 4}, {\"weight\": 12479, \"source\": 1, \"target\": 2}, {\"weight\": 12126, \"source\": 1, \"target\": 6}, {\"weight\": 7357, \"source\": 1, \"target\": 3}, {\"weight\": 4829, \"source\": 1, \"target\": 8}, {\"weight\": 978, \"source\": 1, \"target\": 7}, {\"weight\": 4219, \"source\": 2, \"target\": 5}, {\"weight\": 4831, \"source\": 2, \"target\": 4}, {\"weight\": 2888, \"source\": 2, \"target\": 6}, {\"weight\": 6554, \"source\": 2, \"target\": 3}, {\"weight\": 16445, \"source\": 2, \"target\": 8}, {\"weight\": 12393, \"source\": 2, \"target\": 7}, {\"weight\": 9579, \"source\": 3, \"target\": 5}, {\"weight\": 8337, \"source\": 3, \"target\": 4}, {\"weight\": 8128, \"source\": 3, \"target\": 6}, {\"weight\": 11704, \"source\": 3, \"target\": 8}, {\"weight\": 7292, \"source\": 3, \"target\": 7}, {\"weight\": 3776, \"source\": 4, \"target\": 5}, {\"weight\": 3354, \"source\": 4, \"target\": 6}, {\"weight\": 18159, \"source\": 4, \"target\": 8}, {\"weight\": 14012, \"source\": 4, \"target\": 7}, {\"weight\": 1537, \"source\": 5, \"target\": 6}, {\"weight\": 17085, \"source\": 5, \"target\": 8}, {\"weight\": 12620, \"source\": 5, \"target\": 7}, {\"weight\": 16504, \"source\": 6, \"target\": 8}, {\"weight\": 11762, \"source\": 6, \"target\": 7}, {\"weight\": 5294, \"source\": 7, \"target\": 8}]}",
"id": 2244,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, LWB, AKU, ALF, SHL, RMQ, YCU, PKB, ETR\n- Travel distances (in kilometers) between each pair of airports:\nAEX to LWB: 1396\nAEX to RMQ: 13032\nAEX to SHL: 15464\nAEX to AKU: 13845\nAEX to YCU: 12498\nAEX to ALF: 8735\nAEX to ETR: 4531\nAEX to PKB: 1928\nLWB to RMQ: 13026\nLWB to SHL: 14192\nLWB to AKU: 12479\nLWB to YCU: 12126\nLWB to ALF: 7357\nLWB to ETR: 4829\nLWB to PKB: 978\nAKU to RMQ: 4219\nAKU to SHL: 4831\nAKU to YCU: 2888\nAKU to ALF: 6554\nAKU to ETR: 16445\nAKU to PKB: 12393\nALF to RMQ: 9579\nALF to SHL: 8337\nALF to YCU: 8128\nALF to ETR: 11704\nALF to PKB: 7292\nSHL to RMQ: 3776\nSHL to YCU: 3354\nSHL to ETR: 18159\nSHL to PKB: 14012\nRMQ to YCU: 1537\nRMQ to ETR: 17085\nRMQ to PKB: 12620\nYCU to ETR: 16504\nYCU to PKB: 11762\nPKB to ETR: 5294\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: OIM, KIF, JCB, DPS, SGY, SLA, CHA, YXC, HGA\n- Travel distances (in kilometers) between each pair of airports:\nOIM to DPS: 5654\nOIM to YXC: 8188\nOIM to CHA: 11288\nOIM to SLA: 18872\nOIM to HGA: 10146\nOIM to SGY: 9393\nOIM to JCB: 19093\nOIM to KIF: 10255\nKIF to DPS: 15487\nKIF to YXC: 2140\nKIF to CHA: 2684\nKIF to SLA: 10879\nKIF to HGA: 13392\nKIF to SGY: 4246\nKIF to JCB: 10382\nJCB to DPS: 18326\nJCB to YXC: 11138\nJCB to CHA: 8039\nJCB to SLA: 2493\nJCB to HGA: 11210\nJCB to SGY: 12878\nDPS to YXC: 13650\nDPS to CHA: 16489\nDPS to SLA: 17100\nDPS to HGA: 9049\nDPS to SGY: 14854\nSGY to YXC: 2201\nSGY to CHA: 5156\nSGY to SLA: 12877\nSGY to HGA: 15350\nSLA to YXC: 11329\nSLA to CHA: 8449\nSLA to HGA: 13254\nCHA to YXC: 3238\nCHA to HGA: 12855\nYXC to HGA: 13321\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 53273,
"style": "rule"
}
|
{
"exact_answer": 53273,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"OIM\", \"id\": 0}, {\"name\": \"KIF\", \"id\": 1}, {\"name\": \"JCB\", \"id\": 2}, {\"name\": \"DPS\", \"id\": 3}, {\"name\": \"SGY\", \"id\": 4}, {\"name\": \"SLA\", \"id\": 5}, {\"name\": \"CHA\", \"id\": 6}, {\"name\": \"YXC\", \"id\": 7}, {\"name\": \"HGA\", \"id\": 8}], \"links\": [{\"weight\": 5654, \"source\": 0, \"target\": 3}, {\"weight\": 8188, \"source\": 0, \"target\": 7}, {\"weight\": 11288, \"source\": 0, \"target\": 6}, {\"weight\": 18872, \"source\": 0, \"target\": 5}, {\"weight\": 10146, \"source\": 0, \"target\": 8}, {\"weight\": 9393, \"source\": 0, \"target\": 4}, {\"weight\": 19093, \"source\": 0, \"target\": 2}, {\"weight\": 10255, \"source\": 0, \"target\": 1}, {\"weight\": 15487, \"source\": 1, \"target\": 3}, {\"weight\": 2140, \"source\": 1, \"target\": 7}, {\"weight\": 2684, \"source\": 1, \"target\": 6}, {\"weight\": 10879, \"source\": 1, \"target\": 5}, {\"weight\": 13392, \"source\": 1, \"target\": 8}, {\"weight\": 4246, \"source\": 1, \"target\": 4}, {\"weight\": 10382, \"source\": 1, \"target\": 2}, {\"weight\": 18326, \"source\": 2, \"target\": 3}, {\"weight\": 11138, \"source\": 2, \"target\": 7}, {\"weight\": 8039, \"source\": 2, \"target\": 6}, {\"weight\": 2493, \"source\": 2, \"target\": 5}, {\"weight\": 11210, \"source\": 2, \"target\": 8}, {\"weight\": 12878, \"source\": 2, \"target\": 4}, {\"weight\": 13650, \"source\": 3, \"target\": 7}, {\"weight\": 16489, \"source\": 3, \"target\": 6}, {\"weight\": 17100, \"source\": 3, \"target\": 5}, {\"weight\": 9049, \"source\": 3, \"target\": 8}, {\"weight\": 14854, \"source\": 3, \"target\": 4}, {\"weight\": 2201, \"source\": 4, \"target\": 7}, {\"weight\": 5156, \"source\": 4, \"target\": 6}, {\"weight\": 12877, \"source\": 4, \"target\": 5}, {\"weight\": 15350, \"source\": 4, \"target\": 8}, {\"weight\": 11329, \"source\": 5, \"target\": 7}, {\"weight\": 8449, \"source\": 5, \"target\": 6}, {\"weight\": 13254, \"source\": 5, \"target\": 8}, {\"weight\": 3238, \"source\": 6, \"target\": 7}, {\"weight\": 12855, \"source\": 6, \"target\": 8}, {\"weight\": 13321, \"source\": 7, \"target\": 8}]}",
"id": 2245,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: OIM, KIF, JCB, DPS, SGY, SLA, CHA, YXC, HGA\n- Travel distances (in kilometers) between each pair of airports:\nOIM to DPS: 5654\nOIM to YXC: 8188\nOIM to CHA: 11288\nOIM to SLA: 18872\nOIM to HGA: 10146\nOIM to SGY: 9393\nOIM to JCB: 19093\nOIM to KIF: 10255\nKIF to DPS: 15487\nKIF to YXC: 2140\nKIF to CHA: 2684\nKIF to SLA: 10879\nKIF to HGA: 13392\nKIF to SGY: 4246\nKIF to JCB: 10382\nJCB to DPS: 18326\nJCB to YXC: 11138\nJCB to CHA: 8039\nJCB to SLA: 2493\nJCB to HGA: 11210\nJCB to SGY: 12878\nDPS to YXC: 13650\nDPS to CHA: 16489\nDPS to SLA: 17100\nDPS to HGA: 9049\nDPS to SGY: 14854\nSGY to YXC: 2201\nSGY to CHA: 5156\nSGY to SLA: 12877\nSGY to HGA: 15350\nSLA to YXC: 11329\nSLA to CHA: 8449\nSLA to HGA: 13254\nCHA to YXC: 3238\nCHA to HGA: 12855\nYXC to HGA: 13321\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: KOV, GUR, XBE, MPL, KER, LDE, POL, YYJ, KOW\n- Travel distances (in kilometers) between each pair of airports:\nKOV to MPL: 4823\nKOV to KOW: 5344\nKOV to YYJ: 11210\nKOV to LDE: 5123\nKOV to GUR: 10766\nKOV to KER: 4109\nKOV to POL: 8722\nKOV to XBE: 11210\nGUR to MPL: 15275\nGUR to KOW: 5791\nGUR to YYJ: 12997\nGUR to LDE: 15537\nGUR to KER: 11930\nGUR to POL: 13784\nGUR to XBE: 15388\nXBE to MPL: 8229\nXBE to KOW: 12589\nXBE to YYJ: 2738\nXBE to LDE: 8114\nXBE to KER: 12600\nXBE to POL: 15480\nMPL to KOW: 9754\nMPL to YYJ: 8578\nMPL to LDE: 1226\nMPL to KER: 4880\nMPL to POL: 7641\nKER to KOW: 6814\nKER to YYJ: 12717\nKER to LDE: 5233\nKER to POL: 5422\nLDE to KOW: 10051\nLDE to YYJ: 8634\nLDE to POL: 8271\nPOL to KOW: 10253\nPOL to YYJ: 15796\nYYJ to KOW: 9968\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 53382,
"style": "rule"
}
|
{
"exact_answer": 53382,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"KOV\", \"id\": 0}, {\"name\": \"GUR\", \"id\": 1}, {\"name\": \"XBE\", \"id\": 2}, {\"name\": \"MPL\", \"id\": 3}, {\"name\": \"KER\", \"id\": 4}, {\"name\": \"LDE\", \"id\": 5}, {\"name\": \"POL\", \"id\": 6}, {\"name\": \"YYJ\", \"id\": 7}, {\"name\": \"KOW\", \"id\": 8}], \"links\": [{\"weight\": 4823, \"source\": 0, \"target\": 3}, {\"weight\": 5344, \"source\": 0, \"target\": 8}, {\"weight\": 11210, \"source\": 0, \"target\": 7}, {\"weight\": 5123, \"source\": 0, \"target\": 5}, {\"weight\": 10766, \"source\": 0, \"target\": 1}, {\"weight\": 4109, \"source\": 0, \"target\": 4}, {\"weight\": 8722, \"source\": 0, \"target\": 6}, {\"weight\": 11210, \"source\": 0, \"target\": 2}, {\"weight\": 15275, \"source\": 1, \"target\": 3}, {\"weight\": 5791, \"source\": 1, \"target\": 8}, {\"weight\": 12997, \"source\": 1, \"target\": 7}, {\"weight\": 15537, \"source\": 1, \"target\": 5}, {\"weight\": 11930, \"source\": 1, \"target\": 4}, {\"weight\": 13784, \"source\": 1, \"target\": 6}, {\"weight\": 15388, \"source\": 1, \"target\": 2}, {\"weight\": 8229, \"source\": 2, \"target\": 3}, {\"weight\": 12589, \"source\": 2, \"target\": 8}, {\"weight\": 2738, \"source\": 2, \"target\": 7}, {\"weight\": 8114, \"source\": 2, \"target\": 5}, {\"weight\": 12600, \"source\": 2, \"target\": 4}, {\"weight\": 15480, \"source\": 2, \"target\": 6}, {\"weight\": 9754, \"source\": 3, \"target\": 8}, {\"weight\": 8578, \"source\": 3, \"target\": 7}, {\"weight\": 1226, \"source\": 3, \"target\": 5}, {\"weight\": 4880, \"source\": 3, \"target\": 4}, {\"weight\": 7641, \"source\": 3, \"target\": 6}, {\"weight\": 6814, \"source\": 4, \"target\": 8}, {\"weight\": 12717, \"source\": 4, \"target\": 7}, {\"weight\": 5233, \"source\": 4, \"target\": 5}, {\"weight\": 5422, \"source\": 4, \"target\": 6}, {\"weight\": 10051, \"source\": 5, \"target\": 8}, {\"weight\": 8634, \"source\": 5, \"target\": 7}, {\"weight\": 8271, \"source\": 5, \"target\": 6}, {\"weight\": 10253, \"source\": 6, \"target\": 8}, {\"weight\": 15796, \"source\": 6, \"target\": 7}, {\"weight\": 9968, \"source\": 7, \"target\": 8}]}",
"id": 2246,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: KOV, GUR, XBE, MPL, KER, LDE, POL, YYJ, KOW\n- Travel distances (in kilometers) between each pair of airports:\nKOV to MPL: 4823\nKOV to KOW: 5344\nKOV to YYJ: 11210\nKOV to LDE: 5123\nKOV to GUR: 10766\nKOV to KER: 4109\nKOV to POL: 8722\nKOV to XBE: 11210\nGUR to MPL: 15275\nGUR to KOW: 5791\nGUR to YYJ: 12997\nGUR to LDE: 15537\nGUR to KER: 11930\nGUR to POL: 13784\nGUR to XBE: 15388\nXBE to MPL: 8229\nXBE to KOW: 12589\nXBE to YYJ: 2738\nXBE to LDE: 8114\nXBE to KER: 12600\nXBE to POL: 15480\nMPL to KOW: 9754\nMPL to YYJ: 8578\nMPL to LDE: 1226\nMPL to KER: 4880\nMPL to POL: 7641\nKER to KOW: 6814\nKER to YYJ: 12717\nKER to LDE: 5233\nKER to POL: 5422\nLDE to KOW: 10051\nLDE to YYJ: 8634\nLDE to POL: 8271\nPOL to KOW: 10253\nPOL to YYJ: 15796\nYYJ to KOW: 9968\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, BEW, ZFN, PXU, PSO, PLZ, YNB, PEM, JSI\n- Travel distances (in kilometers) between each pair of airports:\nUGB to PEM: 11785\nUGB to PSO: 9676\nUGB to JSI: 13094\nUGB to PLZ: 20046\nUGB to YNB: 14951\nUGB to ZFN: 5495\nUGB to BEW: 19705\nUGB to PXU: 14518\nBEW to PEM: 11642\nBEW to PSO: 13261\nBEW to JSI: 7047\nBEW to PLZ: 1871\nBEW to YNB: 5116\nBEW to ZFN: 17547\nBEW to PXU: 10576\nZFN to PEM: 10558\nZFN to PSO: 8415\nZFN to JSI: 10931\nZFN to PLZ: 17955\nZFN to YNB: 12781\nZFN to PXU: 13872\nPXU to PEM: 20389\nPXU to PSO: 18340\nPXU to JSI: 9086\nPXU to PLZ: 10434\nPXU to YNB: 7746\nPSO to PEM: 2850\nPSO to JSI: 11056\nPSO to PLZ: 13190\nPSO to YNB: 12763\nPLZ to PEM: 11571\nPLZ to JSI: 8423\nPLZ to YNB: 6649\nYNB to PEM: 14076\nYNB to JSI: 2185\nPEM to JSI: 12818\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 61107,
"style": "rule"
}
|
{
"exact_answer": 61107,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"UGB\", \"id\": 0}, {\"name\": \"BEW\", \"id\": 1}, {\"name\": \"ZFN\", \"id\": 2}, {\"name\": \"PXU\", \"id\": 3}, {\"name\": \"PSO\", \"id\": 4}, {\"name\": \"PLZ\", \"id\": 5}, {\"name\": \"YNB\", \"id\": 6}, {\"name\": \"PEM\", \"id\": 7}, {\"name\": \"JSI\", \"id\": 8}], \"links\": [{\"weight\": 11785, \"source\": 0, \"target\": 7}, {\"weight\": 9676, \"source\": 0, \"target\": 4}, {\"weight\": 13094, \"source\": 0, \"target\": 8}, {\"weight\": 20046, \"source\": 0, \"target\": 5}, {\"weight\": 14951, \"source\": 0, \"target\": 6}, {\"weight\": 5495, \"source\": 0, \"target\": 2}, {\"weight\": 19705, \"source\": 0, \"target\": 1}, {\"weight\": 14518, \"source\": 0, \"target\": 3}, {\"weight\": 11642, \"source\": 1, \"target\": 7}, {\"weight\": 13261, \"source\": 1, \"target\": 4}, {\"weight\": 7047, \"source\": 1, \"target\": 8}, {\"weight\": 1871, \"source\": 1, \"target\": 5}, {\"weight\": 5116, \"source\": 1, \"target\": 6}, {\"weight\": 17547, \"source\": 1, \"target\": 2}, {\"weight\": 10576, \"source\": 1, \"target\": 3}, {\"weight\": 10558, \"source\": 2, \"target\": 7}, {\"weight\": 8415, \"source\": 2, \"target\": 4}, {\"weight\": 10931, \"source\": 2, \"target\": 8}, {\"weight\": 17955, \"source\": 2, \"target\": 5}, {\"weight\": 12781, \"source\": 2, \"target\": 6}, {\"weight\": 13872, \"source\": 2, \"target\": 3}, {\"weight\": 20389, \"source\": 3, \"target\": 7}, {\"weight\": 18340, \"source\": 3, \"target\": 4}, {\"weight\": 9086, \"source\": 3, \"target\": 8}, {\"weight\": 10434, \"source\": 3, \"target\": 5}, {\"weight\": 7746, \"source\": 3, \"target\": 6}, {\"weight\": 2850, \"source\": 4, \"target\": 7}, {\"weight\": 11056, \"source\": 4, \"target\": 8}, {\"weight\": 13190, \"source\": 4, \"target\": 5}, {\"weight\": 12763, \"source\": 4, \"target\": 6}, {\"weight\": 11571, \"source\": 5, \"target\": 7}, {\"weight\": 8423, \"source\": 5, \"target\": 8}, {\"weight\": 6649, \"source\": 5, \"target\": 6}, {\"weight\": 14076, \"source\": 6, \"target\": 7}, {\"weight\": 2185, \"source\": 6, \"target\": 8}, {\"weight\": 12818, \"source\": 7, \"target\": 8}]}",
"id": 2247,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, BEW, ZFN, PXU, PSO, PLZ, YNB, PEM, JSI\n- Travel distances (in kilometers) between each pair of airports:\nUGB to PEM: 11785\nUGB to PSO: 9676\nUGB to JSI: 13094\nUGB to PLZ: 20046\nUGB to YNB: 14951\nUGB to ZFN: 5495\nUGB to BEW: 19705\nUGB to PXU: 14518\nBEW to PEM: 11642\nBEW to PSO: 13261\nBEW to JSI: 7047\nBEW to PLZ: 1871\nBEW to YNB: 5116\nBEW to ZFN: 17547\nBEW to PXU: 10576\nZFN to PEM: 10558\nZFN to PSO: 8415\nZFN to JSI: 10931\nZFN to PLZ: 17955\nZFN to YNB: 12781\nZFN to PXU: 13872\nPXU to PEM: 20389\nPXU to PSO: 18340\nPXU to JSI: 9086\nPXU to PLZ: 10434\nPXU to YNB: 7746\nPSO to PEM: 2850\nPSO to JSI: 11056\nPSO to PLZ: 13190\nPSO to YNB: 12763\nPLZ to PEM: 11571\nPLZ to JSI: 8423\nPLZ to YNB: 6649\nYNB to PEM: 14076\nYNB to JSI: 2185\nPEM to JSI: 12818\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PSE, VEE, AUX, CCK, JTR, BZO, USH, AJR, ESC\n- Travel distances (in kilometers) between each pair of airports:\nPSE to AJR: 9563\nPSE to AUX: 7397\nPSE to JTR: 10759\nPSE to USH: 11529\nPSE to VEE: 8758\nPSE to BZO: 9997\nPSE to ESC: 3916\nPSE to CCK: 24046\nVEE to AJR: 11373\nVEE to AUX: 12213\nVEE to JTR: 12987\nVEE to USH: 15816\nVEE to BZO: 12408\nVEE to ESC: 6094\nVEE to CCK: 19944\nAUX to AJR: 10811\nAUX to JTR: 9954\nAUX to USH: 5669\nAUX to BZO: 9303\nAUX to ESC: 7196\nAUX to CCK: 21161\nCCK to AJR: 17794\nCCK to JTR: 16101\nCCK to USH: 20879\nCCK to BZO: 17488\nCCK to ESC: 22405\nJTR to AJR: 3333\nJTR to USH: 14760\nJTR to BZO: 1827\nJTR to ESC: 9176\nBZO to AJR: 3209\nBZO to USH: 14027\nBZO to ESC: 8442\nUSH to AJR: 15611\nUSH to ESC: 11660\nAJR to ESC: 7809\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 76465,
"style": "rule"
}
|
{
"exact_answer": 76465,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"PSE\", \"id\": 0}, {\"name\": \"VEE\", \"id\": 1}, {\"name\": \"AUX\", \"id\": 2}, {\"name\": \"CCK\", \"id\": 3}, {\"name\": \"JTR\", \"id\": 4}, {\"name\": \"BZO\", \"id\": 5}, {\"name\": \"USH\", \"id\": 6}, {\"name\": \"AJR\", \"id\": 7}, {\"name\": \"ESC\", \"id\": 8}], \"links\": [{\"weight\": 9563, \"source\": 0, \"target\": 7}, {\"weight\": 7397, \"source\": 0, \"target\": 2}, {\"weight\": 10759, \"source\": 0, \"target\": 4}, {\"weight\": 11529, \"source\": 0, \"target\": 6}, {\"weight\": 8758, \"source\": 0, \"target\": 1}, {\"weight\": 9997, \"source\": 0, \"target\": 5}, {\"weight\": 3916, \"source\": 0, \"target\": 8}, {\"weight\": 24046, \"source\": 0, \"target\": 3}, {\"weight\": 11373, \"source\": 1, \"target\": 7}, {\"weight\": 12213, \"source\": 1, \"target\": 2}, {\"weight\": 12987, \"source\": 1, \"target\": 4}, {\"weight\": 15816, \"source\": 1, \"target\": 6}, {\"weight\": 12408, \"source\": 1, \"target\": 5}, {\"weight\": 6094, \"source\": 1, \"target\": 8}, {\"weight\": 19944, \"source\": 1, \"target\": 3}, {\"weight\": 10811, \"source\": 2, \"target\": 7}, {\"weight\": 9954, \"source\": 2, \"target\": 4}, {\"weight\": 5669, \"source\": 2, \"target\": 6}, {\"weight\": 9303, \"source\": 2, \"target\": 5}, {\"weight\": 7196, \"source\": 2, \"target\": 8}, {\"weight\": 21161, \"source\": 2, \"target\": 3}, {\"weight\": 17794, \"source\": 3, \"target\": 7}, {\"weight\": 16101, \"source\": 3, \"target\": 4}, {\"weight\": 20879, \"source\": 3, \"target\": 6}, {\"weight\": 17488, \"source\": 3, \"target\": 5}, {\"weight\": 22405, \"source\": 3, \"target\": 8}, {\"weight\": 3333, \"source\": 4, \"target\": 7}, {\"weight\": 14760, \"source\": 4, \"target\": 6}, {\"weight\": 1827, \"source\": 4, \"target\": 5}, {\"weight\": 9176, \"source\": 4, \"target\": 8}, {\"weight\": 3209, \"source\": 5, \"target\": 7}, {\"weight\": 14027, \"source\": 5, \"target\": 6}, {\"weight\": 8442, \"source\": 5, \"target\": 8}, {\"weight\": 15611, \"source\": 6, \"target\": 7}, {\"weight\": 11660, \"source\": 6, \"target\": 8}, {\"weight\": 7809, \"source\": 7, \"target\": 8}]}",
"id": 2248,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PSE, VEE, AUX, CCK, JTR, BZO, USH, AJR, ESC\n- Travel distances (in kilometers) between each pair of airports:\nPSE to AJR: 9563\nPSE to AUX: 7397\nPSE to JTR: 10759\nPSE to USH: 11529\nPSE to VEE: 8758\nPSE to BZO: 9997\nPSE to ESC: 3916\nPSE to CCK: 24046\nVEE to AJR: 11373\nVEE to AUX: 12213\nVEE to JTR: 12987\nVEE to USH: 15816\nVEE to BZO: 12408\nVEE to ESC: 6094\nVEE to CCK: 19944\nAUX to AJR: 10811\nAUX to JTR: 9954\nAUX to USH: 5669\nAUX to BZO: 9303\nAUX to ESC: 7196\nAUX to CCK: 21161\nCCK to AJR: 17794\nCCK to JTR: 16101\nCCK to USH: 20879\nCCK to BZO: 17488\nCCK to ESC: 22405\nJTR to AJR: 3333\nJTR to USH: 14760\nJTR to BZO: 1827\nJTR to ESC: 9176\nBZO to AJR: 3209\nBZO to USH: 14027\nBZO to ESC: 8442\nUSH to AJR: 15611\nUSH to ESC: 11660\nAJR to ESC: 7809\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SOJ, MVD, UDR, CAN, IRG, SCK, VCA, NPE, LJG\n- Travel distances (in kilometers) between each pair of airports:\nSOJ to CAN: 9078\nSOJ to LJG: 8438\nSOJ to MVD: 13368\nSOJ to UDR: 6981\nSOJ to SCK: 9797\nSOJ to NPE: 18418\nSOJ to IRG: 15251\nSOJ to VCA: 10042\nMVD to CAN: 19455\nMVD to LJG: 18762\nMVD to UDR: 15931\nMVD to SCK: 10556\nMVD to NPE: 11346\nMVD to IRG: 15163\nMVD to VCA: 18996\nUDR to CAN: 4192\nUDR to LJG: 3426\nUDR to SCK: 15001\nUDR to NPE: 13278\nUDR to IRG: 10084\nUDR to VCA: 4629\nCAN to LJG: 1364\nCAN to SCK: 12248\nCAN to NPE: 9627\nCAN to IRG: 6229\nCAN to VCA: 1991\nIRG to LJG: 7558\nIRG to SCK: 14406\nIRG to NPE: 4473\nIRG to VCA: 7059\nSCK to LJG: 12769\nSCK to NPE: 11770\nSCK to VCA: 14165\nVCA to LJG: 2366\nVCA to NPE: 9758\nNPE to LJG: 10962\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 56993,
"style": "rule"
}
|
{
"exact_answer": 56993,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"SOJ\", \"id\": 0}, {\"name\": \"MVD\", \"id\": 1}, {\"name\": \"UDR\", \"id\": 2}, {\"name\": \"CAN\", \"id\": 3}, {\"name\": \"IRG\", \"id\": 4}, {\"name\": \"SCK\", \"id\": 5}, {\"name\": \"VCA\", \"id\": 6}, {\"name\": \"NPE\", \"id\": 7}, {\"name\": \"LJG\", \"id\": 8}], \"links\": [{\"weight\": 9078, \"source\": 0, \"target\": 3}, {\"weight\": 8438, \"source\": 0, \"target\": 8}, {\"weight\": 13368, \"source\": 0, \"target\": 1}, {\"weight\": 6981, \"source\": 0, \"target\": 2}, {\"weight\": 9797, \"source\": 0, \"target\": 5}, {\"weight\": 18418, \"source\": 0, \"target\": 7}, {\"weight\": 15251, \"source\": 0, \"target\": 4}, {\"weight\": 10042, \"source\": 0, \"target\": 6}, {\"weight\": 19455, \"source\": 1, \"target\": 3}, {\"weight\": 18762, \"source\": 1, \"target\": 8}, {\"weight\": 15931, \"source\": 1, \"target\": 2}, {\"weight\": 10556, \"source\": 1, \"target\": 5}, {\"weight\": 11346, \"source\": 1, \"target\": 7}, {\"weight\": 15163, \"source\": 1, \"target\": 4}, {\"weight\": 18996, \"source\": 1, \"target\": 6}, {\"weight\": 4192, \"source\": 2, \"target\": 3}, {\"weight\": 3426, \"source\": 2, \"target\": 8}, {\"weight\": 15001, \"source\": 2, \"target\": 5}, {\"weight\": 13278, \"source\": 2, \"target\": 7}, {\"weight\": 10084, \"source\": 2, \"target\": 4}, {\"weight\": 4629, \"source\": 2, \"target\": 6}, {\"weight\": 1364, \"source\": 3, \"target\": 8}, {\"weight\": 12248, \"source\": 3, \"target\": 5}, {\"weight\": 9627, \"source\": 3, \"target\": 7}, {\"weight\": 6229, \"source\": 3, \"target\": 4}, {\"weight\": 1991, \"source\": 3, \"target\": 6}, {\"weight\": 7558, \"source\": 4, \"target\": 8}, {\"weight\": 14406, \"source\": 4, \"target\": 5}, {\"weight\": 4473, \"source\": 4, \"target\": 7}, {\"weight\": 7059, \"source\": 4, \"target\": 6}, {\"weight\": 12769, \"source\": 5, \"target\": 8}, {\"weight\": 11770, \"source\": 5, \"target\": 7}, {\"weight\": 14165, \"source\": 5, \"target\": 6}, {\"weight\": 2366, \"source\": 6, \"target\": 8}, {\"weight\": 9758, \"source\": 6, \"target\": 7}, {\"weight\": 10962, \"source\": 7, \"target\": 8}]}",
"id": 2249,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SOJ, MVD, UDR, CAN, IRG, SCK, VCA, NPE, LJG\n- Travel distances (in kilometers) between each pair of airports:\nSOJ to CAN: 9078\nSOJ to LJG: 8438\nSOJ to MVD: 13368\nSOJ to UDR: 6981\nSOJ to SCK: 9797\nSOJ to NPE: 18418\nSOJ to IRG: 15251\nSOJ to VCA: 10042\nMVD to CAN: 19455\nMVD to LJG: 18762\nMVD to UDR: 15931\nMVD to SCK: 10556\nMVD to NPE: 11346\nMVD to IRG: 15163\nMVD to VCA: 18996\nUDR to CAN: 4192\nUDR to LJG: 3426\nUDR to SCK: 15001\nUDR to NPE: 13278\nUDR to IRG: 10084\nUDR to VCA: 4629\nCAN to LJG: 1364\nCAN to SCK: 12248\nCAN to NPE: 9627\nCAN to IRG: 6229\nCAN to VCA: 1991\nIRG to LJG: 7558\nIRG to SCK: 14406\nIRG to NPE: 4473\nIRG to VCA: 7059\nSCK to LJG: 12769\nSCK to NPE: 11770\nSCK to VCA: 14165\nVCA to LJG: 2366\nVCA to NPE: 9758\nNPE to LJG: 10962\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: QUW, BPL, BRC, CTL, FLN, YVP, UBA, BBN, SKK\n- Travel distances (in kilometers) between each pair of airports:\nQUW to UBA: 12974\nQUW to YVP: 7690\nQUW to SKK: 10781\nQUW to BRC: 15417\nQUW to FLN: 13661\nQUW to BPL: 9447\nQUW to BBN: 14513\nQUW to CTL: 19170\nBPL to UBA: 15795\nBPL to YVP: 12246\nBPL to SKK: 14563\nBPL to BRC: 18744\nBPL to FLN: 16229\nBPL to BBN: 6149\nBPL to CTL: 10810\nBRC to UBA: 3392\nBRC to YVP: 11367\nBRC to SKK: 14543\nBRC to FLN: 2544\nBRC to BBN: 19170\nBRC to CTL: 13772\nCTL to UBA: 15677\nCTL to YVP: 16672\nCTL to SKK: 13400\nCTL to FLN: 14985\nCTL to BBN: 6457\nFLN to UBA: 907\nFLN to YVP: 10122\nFLN to SKK: 14002\nFLN to BBN: 17944\nYVP to UBA: 9385\nYVP to SKK: 7143\nYVP to BBN: 15949\nUBA to SKK: 13352\nUBA to BBN: 17866\nBBN to SKK: 15227\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 66585,
"style": "rule"
}
|
{
"exact_answer": 66585,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"QUW\", \"id\": 0}, {\"name\": \"BPL\", \"id\": 1}, {\"name\": \"BRC\", \"id\": 2}, {\"name\": \"CTL\", \"id\": 3}, {\"name\": \"FLN\", \"id\": 4}, {\"name\": \"YVP\", \"id\": 5}, {\"name\": \"UBA\", \"id\": 6}, {\"name\": \"BBN\", \"id\": 7}, {\"name\": \"SKK\", \"id\": 8}], \"links\": [{\"weight\": 12974, \"source\": 0, \"target\": 6}, {\"weight\": 7690, \"source\": 0, \"target\": 5}, {\"weight\": 10781, \"source\": 0, \"target\": 8}, {\"weight\": 15417, \"source\": 0, \"target\": 2}, {\"weight\": 13661, \"source\": 0, \"target\": 4}, {\"weight\": 9447, \"source\": 0, \"target\": 1}, {\"weight\": 14513, \"source\": 0, \"target\": 7}, {\"weight\": 19170, \"source\": 0, \"target\": 3}, {\"weight\": 15795, \"source\": 1, \"target\": 6}, {\"weight\": 12246, \"source\": 1, \"target\": 5}, {\"weight\": 14563, \"source\": 1, \"target\": 8}, {\"weight\": 18744, \"source\": 1, \"target\": 2}, {\"weight\": 16229, \"source\": 1, \"target\": 4}, {\"weight\": 6149, \"source\": 1, \"target\": 7}, {\"weight\": 10810, \"source\": 1, \"target\": 3}, {\"weight\": 3392, \"source\": 2, \"target\": 6}, {\"weight\": 11367, \"source\": 2, \"target\": 5}, {\"weight\": 14543, \"source\": 2, \"target\": 8}, {\"weight\": 2544, \"source\": 2, \"target\": 4}, {\"weight\": 19170, \"source\": 2, \"target\": 7}, {\"weight\": 13772, \"source\": 2, \"target\": 3}, {\"weight\": 15677, \"source\": 3, \"target\": 6}, {\"weight\": 16672, \"source\": 3, \"target\": 5}, {\"weight\": 13400, \"source\": 3, \"target\": 8}, {\"weight\": 14985, \"source\": 3, \"target\": 4}, {\"weight\": 6457, \"source\": 3, \"target\": 7}, {\"weight\": 907, \"source\": 4, \"target\": 6}, {\"weight\": 10122, \"source\": 4, \"target\": 5}, {\"weight\": 14002, \"source\": 4, \"target\": 8}, {\"weight\": 17944, \"source\": 4, \"target\": 7}, {\"weight\": 9385, \"source\": 5, \"target\": 6}, {\"weight\": 7143, \"source\": 5, \"target\": 8}, {\"weight\": 15949, \"source\": 5, \"target\": 7}, {\"weight\": 13352, \"source\": 6, \"target\": 8}, {\"weight\": 17866, \"source\": 6, \"target\": 7}, {\"weight\": 15227, \"source\": 7, \"target\": 8}]}",
"id": 2250,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: QUW, BPL, BRC, CTL, FLN, YVP, UBA, BBN, SKK\n- Travel distances (in kilometers) between each pair of airports:\nQUW to UBA: 12974\nQUW to YVP: 7690\nQUW to SKK: 10781\nQUW to BRC: 15417\nQUW to FLN: 13661\nQUW to BPL: 9447\nQUW to BBN: 14513\nQUW to CTL: 19170\nBPL to UBA: 15795\nBPL to YVP: 12246\nBPL to SKK: 14563\nBPL to BRC: 18744\nBPL to FLN: 16229\nBPL to BBN: 6149\nBPL to CTL: 10810\nBRC to UBA: 3392\nBRC to YVP: 11367\nBRC to SKK: 14543\nBRC to FLN: 2544\nBRC to BBN: 19170\nBRC to CTL: 13772\nCTL to UBA: 15677\nCTL to YVP: 16672\nCTL to SKK: 13400\nCTL to FLN: 14985\nCTL to BBN: 6457\nFLN to UBA: 907\nFLN to YVP: 10122\nFLN to SKK: 14002\nFLN to BBN: 17944\nYVP to UBA: 9385\nYVP to SKK: 7143\nYVP to BBN: 15949\nUBA to SKK: 13352\nUBA to BBN: 17866\nBBN to SKK: 15227\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TWB, NDR, TRF, ROR, CID, NYI, VPY, YRA, JBQ\n- Travel distances (in kilometers) between each pair of airports:\nTWB to TRF: 15708\nTWB to NDR: 17833\nTWB to YRA: 14086\nTWB to CID: 14148\nTWB to ROR: 6198\nTWB to JBQ: 16676\nTWB to NYI: 16720\nTWB to VPY: 12931\nNDR to TRF: 2859\nNDR to YRA: 9615\nNDR to CID: 7645\nNDR to ROR: 13567\nNDR to JBQ: 8136\nNDR to NYI: 3946\nNDR to VPY: 9187\nTRF to YRA: 7970\nTRF to CID: 6980\nTRF to ROR: 11253\nTRF to JBQ: 8490\nTRF to NYI: 6359\nTRF to VPY: 10697\nROR to YRA: 12654\nROR to CID: 13119\nROR to JBQ: 16520\nROR to NYI: 15170\nROR to VPY: 13728\nCID to YRA: 3350\nCID to JBQ: 3422\nCID to NYI: 10031\nCID to VPY: 15523\nNYI to YRA: 12382\nNYI to JBQ: 10442\nNYI to VPY: 6173\nVPY to YRA: 17774\nVPY to JBQ: 14090\nYRA to JBQ: 6569\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 60023,
"style": "rule"
}
|
{
"exact_answer": 60023,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"TWB\", \"id\": 0}, {\"name\": \"NDR\", \"id\": 1}, {\"name\": \"TRF\", \"id\": 2}, {\"name\": \"ROR\", \"id\": 3}, {\"name\": \"CID\", \"id\": 4}, {\"name\": \"NYI\", \"id\": 5}, {\"name\": \"VPY\", \"id\": 6}, {\"name\": \"YRA\", \"id\": 7}, {\"name\": \"JBQ\", \"id\": 8}], \"links\": [{\"weight\": 15708, \"source\": 0, \"target\": 2}, {\"weight\": 17833, \"source\": 0, \"target\": 1}, {\"weight\": 14086, \"source\": 0, \"target\": 7}, {\"weight\": 14148, \"source\": 0, \"target\": 4}, {\"weight\": 6198, \"source\": 0, \"target\": 3}, {\"weight\": 16676, \"source\": 0, \"target\": 8}, {\"weight\": 16720, \"source\": 0, \"target\": 5}, {\"weight\": 12931, \"source\": 0, \"target\": 6}, {\"weight\": 2859, \"source\": 1, \"target\": 2}, {\"weight\": 9615, \"source\": 1, \"target\": 7}, {\"weight\": 7645, \"source\": 1, \"target\": 4}, {\"weight\": 13567, \"source\": 1, \"target\": 3}, {\"weight\": 8136, \"source\": 1, \"target\": 8}, {\"weight\": 3946, \"source\": 1, \"target\": 5}, {\"weight\": 9187, \"source\": 1, \"target\": 6}, {\"weight\": 7970, \"source\": 2, \"target\": 7}, {\"weight\": 6980, \"source\": 2, \"target\": 4}, {\"weight\": 11253, \"source\": 2, \"target\": 3}, {\"weight\": 8490, \"source\": 2, \"target\": 8}, {\"weight\": 6359, \"source\": 2, \"target\": 5}, {\"weight\": 10697, \"source\": 2, \"target\": 6}, {\"weight\": 12654, \"source\": 3, \"target\": 7}, {\"weight\": 13119, \"source\": 3, \"target\": 4}, {\"weight\": 16520, \"source\": 3, \"target\": 8}, {\"weight\": 15170, \"source\": 3, \"target\": 5}, {\"weight\": 13728, \"source\": 3, \"target\": 6}, {\"weight\": 3350, \"source\": 4, \"target\": 7}, {\"weight\": 3422, \"source\": 4, \"target\": 8}, {\"weight\": 10031, \"source\": 4, \"target\": 5}, {\"weight\": 15523, \"source\": 4, \"target\": 6}, {\"weight\": 12382, \"source\": 5, \"target\": 7}, {\"weight\": 10442, \"source\": 5, \"target\": 8}, {\"weight\": 6173, \"source\": 5, \"target\": 6}, {\"weight\": 17774, \"source\": 6, \"target\": 7}, {\"weight\": 14090, \"source\": 6, \"target\": 8}, {\"weight\": 6569, \"source\": 7, \"target\": 8}]}",
"id": 2251,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TWB, NDR, TRF, ROR, CID, NYI, VPY, YRA, JBQ\n- Travel distances (in kilometers) between each pair of airports:\nTWB to TRF: 15708\nTWB to NDR: 17833\nTWB to YRA: 14086\nTWB to CID: 14148\nTWB to ROR: 6198\nTWB to JBQ: 16676\nTWB to NYI: 16720\nTWB to VPY: 12931\nNDR to TRF: 2859\nNDR to YRA: 9615\nNDR to CID: 7645\nNDR to ROR: 13567\nNDR to JBQ: 8136\nNDR to NYI: 3946\nNDR to VPY: 9187\nTRF to YRA: 7970\nTRF to CID: 6980\nTRF to ROR: 11253\nTRF to JBQ: 8490\nTRF to NYI: 6359\nTRF to VPY: 10697\nROR to YRA: 12654\nROR to CID: 13119\nROR to JBQ: 16520\nROR to NYI: 15170\nROR to VPY: 13728\nCID to YRA: 3350\nCID to JBQ: 3422\nCID to NYI: 10031\nCID to VPY: 15523\nNYI to YRA: 12382\nNYI to JBQ: 10442\nNYI to VPY: 6173\nVPY to YRA: 17774\nVPY to JBQ: 14090\nYRA to JBQ: 6569\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ABV, MJM, URA, LPI, MGB, MXL, AGH, GFN, KUS\n- Travel distances (in kilometers) between each pair of airports:\nABV to MXL: 13073\nABV to MJM: 2757\nABV to AGH: 6263\nABV to URA: 6554\nABV to KUS: 8770\nABV to LPI: 5600\nABV to MGB: 15270\nABV to GFN: 16084\nMJM to MXL: 15298\nMJM to AGH: 8811\nMJM to URA: 8314\nMJM to KUS: 11328\nMJM to LPI: 8268\nMJM to MGB: 13162\nMJM to GFN: 13891\nURA to MXL: 12937\nURA to AGH: 3600\nURA to KUS: 7294\nURA to LPI: 3728\nURA to MGB: 13545\nURA to GFN: 14409\nLPI to MXL: 10247\nLPI to AGH: 1383\nLPI to KUS: 4412\nLPI to MGB: 16083\nLPI to GFN: 16923\nMGB to MXL: 14555\nMGB to AGH: 15855\nMGB to KUS: 19541\nMGB to GFN: 1563\nMXL to AGH: 10365\nMXL to KUS: 9847\nMXL to GFN: 14002\nAGH to KUS: 4722\nAGH to GFN: 16563\nGFN to KUS: 20249\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 57280,
"style": "rule"
}
|
{
"exact_answer": 57280,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"ABV\", \"id\": 0}, {\"name\": \"MJM\", \"id\": 1}, {\"name\": \"URA\", \"id\": 2}, {\"name\": \"LPI\", \"id\": 3}, {\"name\": \"MGB\", \"id\": 4}, {\"name\": \"MXL\", \"id\": 5}, {\"name\": \"AGH\", \"id\": 6}, {\"name\": \"GFN\", \"id\": 7}, {\"name\": \"KUS\", \"id\": 8}], \"links\": [{\"weight\": 13073, \"source\": 0, \"target\": 5}, {\"weight\": 2757, \"source\": 0, \"target\": 1}, {\"weight\": 6263, \"source\": 0, \"target\": 6}, {\"weight\": 6554, \"source\": 0, \"target\": 2}, {\"weight\": 8770, \"source\": 0, \"target\": 8}, {\"weight\": 5600, \"source\": 0, \"target\": 3}, {\"weight\": 15270, \"source\": 0, \"target\": 4}, {\"weight\": 16084, \"source\": 0, \"target\": 7}, {\"weight\": 15298, \"source\": 1, \"target\": 5}, {\"weight\": 8811, \"source\": 1, \"target\": 6}, {\"weight\": 8314, \"source\": 1, \"target\": 2}, {\"weight\": 11328, \"source\": 1, \"target\": 8}, {\"weight\": 8268, \"source\": 1, \"target\": 3}, {\"weight\": 13162, \"source\": 1, \"target\": 4}, {\"weight\": 13891, \"source\": 1, \"target\": 7}, {\"weight\": 12937, \"source\": 2, \"target\": 5}, {\"weight\": 3600, \"source\": 2, \"target\": 6}, {\"weight\": 7294, \"source\": 2, \"target\": 8}, {\"weight\": 3728, \"source\": 2, \"target\": 3}, {\"weight\": 13545, \"source\": 2, \"target\": 4}, {\"weight\": 14409, \"source\": 2, \"target\": 7}, {\"weight\": 10247, \"source\": 3, \"target\": 5}, {\"weight\": 1383, \"source\": 3, \"target\": 6}, {\"weight\": 4412, \"source\": 3, \"target\": 8}, {\"weight\": 16083, \"source\": 3, \"target\": 4}, {\"weight\": 16923, \"source\": 3, \"target\": 7}, {\"weight\": 14555, \"source\": 4, \"target\": 5}, {\"weight\": 15855, \"source\": 4, \"target\": 6}, {\"weight\": 19541, \"source\": 4, \"target\": 8}, {\"weight\": 1563, \"source\": 4, \"target\": 7}, {\"weight\": 10365, \"source\": 5, \"target\": 6}, {\"weight\": 9847, \"source\": 5, \"target\": 8}, {\"weight\": 14002, \"source\": 5, \"target\": 7}, {\"weight\": 4722, \"source\": 6, \"target\": 8}, {\"weight\": 16563, \"source\": 6, \"target\": 7}, {\"weight\": 20249, \"source\": 7, \"target\": 8}]}",
"id": 2252,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ABV, MJM, URA, LPI, MGB, MXL, AGH, GFN, KUS\n- Travel distances (in kilometers) between each pair of airports:\nABV to MXL: 13073\nABV to MJM: 2757\nABV to AGH: 6263\nABV to URA: 6554\nABV to KUS: 8770\nABV to LPI: 5600\nABV to MGB: 15270\nABV to GFN: 16084\nMJM to MXL: 15298\nMJM to AGH: 8811\nMJM to URA: 8314\nMJM to KUS: 11328\nMJM to LPI: 8268\nMJM to MGB: 13162\nMJM to GFN: 13891\nURA to MXL: 12937\nURA to AGH: 3600\nURA to KUS: 7294\nURA to LPI: 3728\nURA to MGB: 13545\nURA to GFN: 14409\nLPI to MXL: 10247\nLPI to AGH: 1383\nLPI to KUS: 4412\nLPI to MGB: 16083\nLPI to GFN: 16923\nMGB to MXL: 14555\nMGB to AGH: 15855\nMGB to KUS: 19541\nMGB to GFN: 1563\nMXL to AGH: 10365\nMXL to KUS: 9847\nMXL to GFN: 14002\nAGH to KUS: 4722\nAGH to GFN: 16563\nGFN to KUS: 20249\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: KQT, BSA, SEZ, CYX, LLI, FKQ, CLE, JDZ, MEG\n- Travel distances (in kilometers) between each pair of airports:\nKQT to CLE: 10867\nKQT to SEZ: 6157\nKQT to JDZ: 4981\nKQT to MEG: 9129\nKQT to LLI: 5660\nKQT to FKQ: 9774\nKQT to BSA: 5256\nKQT to CYX: 6557\nBSA to CLE: 12623\nBSA to SEZ: 4105\nBSA to JDZ: 8445\nBSA to MEG: 4992\nBSA to LLI: 1523\nBSA to FKQ: 11010\nBSA to CYX: 10803\nSEZ to CLE: 14214\nSEZ to JDZ: 7869\nSEZ to MEG: 5196\nSEZ to LLI: 3594\nSEZ to FKQ: 9054\nSEZ to CYX: 11677\nCYX to CLE: 13675\nCYX to JDZ: 5409\nCYX to MEG: 14370\nCYX to LLI: 11203\nCYX to FKQ: 10779\nLLI to CLE: 12145\nLLI to JDZ: 8812\nLLI to MEG: 4137\nLLI to FKQ: 11385\nFKQ to CLE: 17271\nFKQ to JDZ: 5492\nFKQ to MEG: 14250\nCLE to JDZ: 11994\nCLE to MEG: 11646\nJDZ to MEG: 12281\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 58790,
"style": "rule"
}
|
{
"exact_answer": 58790,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"KQT\", \"id\": 0}, {\"name\": \"BSA\", \"id\": 1}, {\"name\": \"SEZ\", \"id\": 2}, {\"name\": \"CYX\", \"id\": 3}, {\"name\": \"LLI\", \"id\": 4}, {\"name\": \"FKQ\", \"id\": 5}, {\"name\": \"CLE\", \"id\": 6}, {\"name\": \"JDZ\", \"id\": 7}, {\"name\": \"MEG\", \"id\": 8}], \"links\": [{\"weight\": 10867, \"source\": 0, \"target\": 6}, {\"weight\": 6157, \"source\": 0, \"target\": 2}, {\"weight\": 4981, \"source\": 0, \"target\": 7}, {\"weight\": 9129, \"source\": 0, \"target\": 8}, {\"weight\": 5660, \"source\": 0, \"target\": 4}, {\"weight\": 9774, \"source\": 0, \"target\": 5}, {\"weight\": 5256, \"source\": 0, \"target\": 1}, {\"weight\": 6557, \"source\": 0, \"target\": 3}, {\"weight\": 12623, \"source\": 1, \"target\": 6}, {\"weight\": 4105, \"source\": 1, \"target\": 2}, {\"weight\": 8445, \"source\": 1, \"target\": 7}, {\"weight\": 4992, \"source\": 1, \"target\": 8}, {\"weight\": 1523, \"source\": 1, \"target\": 4}, {\"weight\": 11010, \"source\": 1, \"target\": 5}, {\"weight\": 10803, \"source\": 1, \"target\": 3}, {\"weight\": 14214, \"source\": 2, \"target\": 6}, {\"weight\": 7869, \"source\": 2, \"target\": 7}, {\"weight\": 5196, \"source\": 2, \"target\": 8}, {\"weight\": 3594, \"source\": 2, \"target\": 4}, {\"weight\": 9054, \"source\": 2, \"target\": 5}, {\"weight\": 11677, \"source\": 2, \"target\": 3}, {\"weight\": 13675, \"source\": 3, \"target\": 6}, {\"weight\": 5409, \"source\": 3, \"target\": 7}, {\"weight\": 14370, \"source\": 3, \"target\": 8}, {\"weight\": 11203, \"source\": 3, \"target\": 4}, {\"weight\": 10779, \"source\": 3, \"target\": 5}, {\"weight\": 12145, \"source\": 4, \"target\": 6}, {\"weight\": 8812, \"source\": 4, \"target\": 7}, {\"weight\": 4137, \"source\": 4, \"target\": 8}, {\"weight\": 11385, \"source\": 4, \"target\": 5}, {\"weight\": 17271, \"source\": 5, \"target\": 6}, {\"weight\": 5492, \"source\": 5, \"target\": 7}, {\"weight\": 14250, \"source\": 5, \"target\": 8}, {\"weight\": 11994, \"source\": 6, \"target\": 7}, {\"weight\": 11646, \"source\": 6, \"target\": 8}, {\"weight\": 12281, \"source\": 7, \"target\": 8}]}",
"id": 2253,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: KQT, BSA, SEZ, CYX, LLI, FKQ, CLE, JDZ, MEG\n- Travel distances (in kilometers) between each pair of airports:\nKQT to CLE: 10867\nKQT to SEZ: 6157\nKQT to JDZ: 4981\nKQT to MEG: 9129\nKQT to LLI: 5660\nKQT to FKQ: 9774\nKQT to BSA: 5256\nKQT to CYX: 6557\nBSA to CLE: 12623\nBSA to SEZ: 4105\nBSA to JDZ: 8445\nBSA to MEG: 4992\nBSA to LLI: 1523\nBSA to FKQ: 11010\nBSA to CYX: 10803\nSEZ to CLE: 14214\nSEZ to JDZ: 7869\nSEZ to MEG: 5196\nSEZ to LLI: 3594\nSEZ to FKQ: 9054\nSEZ to CYX: 11677\nCYX to CLE: 13675\nCYX to JDZ: 5409\nCYX to MEG: 14370\nCYX to LLI: 11203\nCYX to FKQ: 10779\nLLI to CLE: 12145\nLLI to JDZ: 8812\nLLI to MEG: 4137\nLLI to FKQ: 11385\nFKQ to CLE: 17271\nFKQ to JDZ: 5492\nFKQ to MEG: 14250\nCLE to JDZ: 11994\nCLE to MEG: 11646\nJDZ to MEG: 12281\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SKG, ETH, MLI, PYH, ITO, MLH, DYR, SNU, IQT\n- Travel distances (in kilometers) between each pair of airports:\nSKG to IQT: 11968\nSKG to ETH: 1737\nSKG to MLH: 1554\nSKG to MLI: 8730\nSKG to SNU: 9641\nSKG to ITO: 14076\nSKG to DYR: 8210\nSKG to PYH: 9803\nETH to IQT: 13551\nETH to MLH: 3201\nETH to MLI: 10416\nETH to SNU: 11329\nETH to ITO: 15761\nETH to DYR: 9109\nETH to PYH: 11380\nMLI to IQT: 5379\nMLI to MLH: 7316\nMLI to SNU: 2998\nMLI to ITO: 6527\nMLI to DYR: 14547\nMLI to PYH: 4697\nPYH to IQT: 3508\nPYH to MLH: 8656\nPYH to SNU: 2957\nPYH to ITO: 10349\nPYH to DYR: 16897\nITO to IQT: 10362\nITO to MLH: 12841\nITO to SNU: 8110\nITO to DYR: 10504\nMLH to IQT: 10629\nMLH to SNU: 8256\nMLH to DYR: 9029\nDYR to IQT: 18690\nDYR to SNU: 15975\nSNU to IQT: 3418\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 48011,
"style": "rule"
}
|
{
"exact_answer": 48011,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"SKG\", \"id\": 0}, {\"name\": \"ETH\", \"id\": 1}, {\"name\": \"MLI\", \"id\": 2}, {\"name\": \"PYH\", \"id\": 3}, {\"name\": \"ITO\", \"id\": 4}, {\"name\": \"MLH\", \"id\": 5}, {\"name\": \"DYR\", \"id\": 6}, {\"name\": \"SNU\", \"id\": 7}, {\"name\": \"IQT\", \"id\": 8}], \"links\": [{\"weight\": 11968, \"source\": 0, \"target\": 8}, {\"weight\": 1737, \"source\": 0, \"target\": 1}, {\"weight\": 1554, \"source\": 0, \"target\": 5}, {\"weight\": 8730, \"source\": 0, \"target\": 2}, {\"weight\": 9641, \"source\": 0, \"target\": 7}, {\"weight\": 14076, \"source\": 0, \"target\": 4}, {\"weight\": 8210, \"source\": 0, \"target\": 6}, {\"weight\": 9803, \"source\": 0, \"target\": 3}, {\"weight\": 13551, \"source\": 1, \"target\": 8}, {\"weight\": 3201, \"source\": 1, \"target\": 5}, {\"weight\": 10416, \"source\": 1, \"target\": 2}, {\"weight\": 11329, \"source\": 1, \"target\": 7}, {\"weight\": 15761, \"source\": 1, \"target\": 4}, {\"weight\": 9109, \"source\": 1, \"target\": 6}, {\"weight\": 11380, \"source\": 1, \"target\": 3}, {\"weight\": 5379, \"source\": 2, \"target\": 8}, {\"weight\": 7316, \"source\": 2, \"target\": 5}, {\"weight\": 2998, \"source\": 2, \"target\": 7}, {\"weight\": 6527, \"source\": 2, \"target\": 4}, {\"weight\": 14547, \"source\": 2, \"target\": 6}, {\"weight\": 4697, \"source\": 2, \"target\": 3}, {\"weight\": 3508, \"source\": 3, \"target\": 8}, {\"weight\": 8656, \"source\": 3, \"target\": 5}, {\"weight\": 2957, \"source\": 3, \"target\": 7}, {\"weight\": 10349, \"source\": 3, \"target\": 4}, {\"weight\": 16897, \"source\": 3, \"target\": 6}, {\"weight\": 10362, \"source\": 4, \"target\": 8}, {\"weight\": 12841, \"source\": 4, \"target\": 5}, {\"weight\": 8110, \"source\": 4, \"target\": 7}, {\"weight\": 10504, \"source\": 4, \"target\": 6}, {\"weight\": 10629, \"source\": 5, \"target\": 8}, {\"weight\": 8256, \"source\": 5, \"target\": 7}, {\"weight\": 9029, \"source\": 5, \"target\": 6}, {\"weight\": 18690, \"source\": 6, \"target\": 8}, {\"weight\": 15975, \"source\": 6, \"target\": 7}, {\"weight\": 3418, \"source\": 7, \"target\": 8}]}",
"id": 2254,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SKG, ETH, MLI, PYH, ITO, MLH, DYR, SNU, IQT\n- Travel distances (in kilometers) between each pair of airports:\nSKG to IQT: 11968\nSKG to ETH: 1737\nSKG to MLH: 1554\nSKG to MLI: 8730\nSKG to SNU: 9641\nSKG to ITO: 14076\nSKG to DYR: 8210\nSKG to PYH: 9803\nETH to IQT: 13551\nETH to MLH: 3201\nETH to MLI: 10416\nETH to SNU: 11329\nETH to ITO: 15761\nETH to DYR: 9109\nETH to PYH: 11380\nMLI to IQT: 5379\nMLI to MLH: 7316\nMLI to SNU: 2998\nMLI to ITO: 6527\nMLI to DYR: 14547\nMLI to PYH: 4697\nPYH to IQT: 3508\nPYH to MLH: 8656\nPYH to SNU: 2957\nPYH to ITO: 10349\nPYH to DYR: 16897\nITO to IQT: 10362\nITO to MLH: 12841\nITO to SNU: 8110\nITO to DYR: 10504\nMLH to IQT: 10629\nMLH to SNU: 8256\nMLH to DYR: 9029\nDYR to IQT: 18690\nDYR to SNU: 15975\nSNU to IQT: 3418\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, ADE, BVS, IXZ, GUW, FIH, JKR, RMI, ORD\n- Travel distances (in kilometers) between each pair of airports:\nTJU to ORD: 11227\nTJU to IXZ: 5240\nTJU to FIH: 8295\nTJU to GUW: 2353\nTJU to ADE: 4543\nTJU to BVS: 13690\nTJU to RMI: 5039\nTJU to JKR: 3693\nADE to ORD: 12252\nADE to IXZ: 5457\nADE to FIH: 3976\nADE to GUW: 3922\nADE to BVS: 11550\nADE to RMI: 5998\nADE to JKR: 4767\nBVS to ORD: 6473\nBVS to IXZ: 16581\nBVS to FIH: 8870\nBVS to GUW: 11863\nBVS to RMI: 12822\nBVS to JKR: 15346\nIXZ to ORD: 14505\nIXZ to FIH: 9223\nIXZ to GUW: 6031\nIXZ to RMI: 8476\nIXZ to JKR: 2069\nGUW to ORD: 9529\nGUW to FIH: 7204\nGUW to RMI: 3420\nGUW to JKR: 4484\nFIH to ORD: 11448\nFIH to RMI: 8302\nFIH to JKR: 8474\nJKR to ORD: 12958\nJKR to RMI: 6929\nRMI to ORD: 10386\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 46697,
"style": "rule"
}
|
{
"exact_answer": 46697,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"TJU\", \"id\": 0}, {\"name\": \"ADE\", \"id\": 1}, {\"name\": \"BVS\", \"id\": 2}, {\"name\": \"IXZ\", \"id\": 3}, {\"name\": \"GUW\", \"id\": 4}, {\"name\": \"FIH\", \"id\": 5}, {\"name\": \"JKR\", \"id\": 6}, {\"name\": \"RMI\", \"id\": 7}, {\"name\": \"ORD\", \"id\": 8}], \"links\": [{\"weight\": 11227, \"source\": 0, \"target\": 8}, {\"weight\": 5240, \"source\": 0, \"target\": 3}, {\"weight\": 8295, \"source\": 0, \"target\": 5}, {\"weight\": 2353, \"source\": 0, \"target\": 4}, {\"weight\": 4543, \"source\": 0, \"target\": 1}, {\"weight\": 13690, \"source\": 0, \"target\": 2}, {\"weight\": 5039, \"source\": 0, \"target\": 7}, {\"weight\": 3693, \"source\": 0, \"target\": 6}, {\"weight\": 12252, \"source\": 1, \"target\": 8}, {\"weight\": 5457, \"source\": 1, \"target\": 3}, {\"weight\": 3976, \"source\": 1, \"target\": 5}, {\"weight\": 3922, \"source\": 1, \"target\": 4}, {\"weight\": 11550, \"source\": 1, \"target\": 2}, {\"weight\": 5998, \"source\": 1, \"target\": 7}, {\"weight\": 4767, \"source\": 1, \"target\": 6}, {\"weight\": 6473, \"source\": 2, \"target\": 8}, {\"weight\": 16581, \"source\": 2, \"target\": 3}, {\"weight\": 8870, \"source\": 2, \"target\": 5}, {\"weight\": 11863, \"source\": 2, \"target\": 4}, {\"weight\": 12822, \"source\": 2, \"target\": 7}, {\"weight\": 15346, \"source\": 2, \"target\": 6}, {\"weight\": 14505, \"source\": 3, \"target\": 8}, {\"weight\": 9223, \"source\": 3, \"target\": 5}, {\"weight\": 6031, \"source\": 3, \"target\": 4}, {\"weight\": 8476, \"source\": 3, \"target\": 7}, {\"weight\": 2069, \"source\": 3, \"target\": 6}, {\"weight\": 9529, \"source\": 4, \"target\": 8}, {\"weight\": 7204, \"source\": 4, \"target\": 5}, {\"weight\": 3420, \"source\": 4, \"target\": 7}, {\"weight\": 4484, \"source\": 4, \"target\": 6}, {\"weight\": 11448, \"source\": 5, \"target\": 8}, {\"weight\": 8302, \"source\": 5, \"target\": 7}, {\"weight\": 8474, \"source\": 5, \"target\": 6}, {\"weight\": 12958, \"source\": 6, \"target\": 8}, {\"weight\": 6929, \"source\": 6, \"target\": 7}, {\"weight\": 10386, \"source\": 7, \"target\": 8}]}",
"id": 2255,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, ADE, BVS, IXZ, GUW, FIH, JKR, RMI, ORD\n- Travel distances (in kilometers) between each pair of airports:\nTJU to ORD: 11227\nTJU to IXZ: 5240\nTJU to FIH: 8295\nTJU to GUW: 2353\nTJU to ADE: 4543\nTJU to BVS: 13690\nTJU to RMI: 5039\nTJU to JKR: 3693\nADE to ORD: 12252\nADE to IXZ: 5457\nADE to FIH: 3976\nADE to GUW: 3922\nADE to BVS: 11550\nADE to RMI: 5998\nADE to JKR: 4767\nBVS to ORD: 6473\nBVS to IXZ: 16581\nBVS to FIH: 8870\nBVS to GUW: 11863\nBVS to RMI: 12822\nBVS to JKR: 15346\nIXZ to ORD: 14505\nIXZ to FIH: 9223\nIXZ to GUW: 6031\nIXZ to RMI: 8476\nIXZ to JKR: 2069\nGUW to ORD: 9529\nGUW to FIH: 7204\nGUW to RMI: 3420\nGUW to JKR: 4484\nFIH to ORD: 11448\nFIH to RMI: 8302\nFIH to JKR: 8474\nJKR to ORD: 12958\nJKR to RMI: 6929\nRMI to ORD: 10386\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ISG, OTZ, CHO, AKY, CHA, CIX, YXU, CDR, NLD\n- Travel distances (in kilometers) between each pair of airports:\nISG to AKY: 3558\nISG to OTZ: 12862\nISG to CHA: 12895\nISG to CHO: 12947\nISG to YXU: 12420\nISG to NLD: 14149\nISG to CDR: 11650\nISG to CIX: 18132\nOTZ to AKY: 15622\nOTZ to CHA: 6253\nOTZ to CHO: 6356\nOTZ to YXU: 6012\nOTZ to NLD: 7887\nOTZ to CDR: 5098\nOTZ to CIX: 11844\nCHO to AKY: 14976\nCHO to CHA: 780\nCHO to YXU: 822\nCHO to NLD: 3768\nCHO to CDR: 2690\nCHO to CIX: 6313\nAKY to CHA: 15107\nAKY to YXU: 14442\nAKY to NLD: 17066\nAKY to CDR: 14376\nAKY to CIX: 20274\nCHA to YXU: 1299\nCHA to NLD: 3205\nCHA to CDR: 2452\nCHA to CIX: 5959\nCIX to YXU: 6993\nCIX to NLD: 5788\nCIX to CDR: 7458\nYXU to NLD: 4174\nYXU to CDR: 2346\nCDR to NLD: 3580\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 52889,
"style": "rule"
}
|
{
"exact_answer": 52889,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"ISG\", \"id\": 0}, {\"name\": \"OTZ\", \"id\": 1}, {\"name\": \"CHO\", \"id\": 2}, {\"name\": \"AKY\", \"id\": 3}, {\"name\": \"CHA\", \"id\": 4}, {\"name\": \"CIX\", \"id\": 5}, {\"name\": \"YXU\", \"id\": 6}, {\"name\": \"CDR\", \"id\": 7}, {\"name\": \"NLD\", \"id\": 8}], \"links\": [{\"weight\": 3558, \"source\": 0, \"target\": 3}, {\"weight\": 12862, \"source\": 0, \"target\": 1}, {\"weight\": 12895, \"source\": 0, \"target\": 4}, {\"weight\": 12947, \"source\": 0, \"target\": 2}, {\"weight\": 12420, \"source\": 0, \"target\": 6}, {\"weight\": 14149, \"source\": 0, \"target\": 8}, {\"weight\": 11650, \"source\": 0, \"target\": 7}, {\"weight\": 18132, \"source\": 0, \"target\": 5}, {\"weight\": 15622, \"source\": 1, \"target\": 3}, {\"weight\": 6253, \"source\": 1, \"target\": 4}, {\"weight\": 6356, \"source\": 1, \"target\": 2}, {\"weight\": 6012, \"source\": 1, \"target\": 6}, {\"weight\": 7887, \"source\": 1, \"target\": 8}, {\"weight\": 5098, \"source\": 1, \"target\": 7}, {\"weight\": 11844, \"source\": 1, \"target\": 5}, {\"weight\": 14976, \"source\": 2, \"target\": 3}, {\"weight\": 780, \"source\": 2, \"target\": 4}, {\"weight\": 822, \"source\": 2, \"target\": 6}, {\"weight\": 3768, \"source\": 2, \"target\": 8}, {\"weight\": 2690, \"source\": 2, \"target\": 7}, {\"weight\": 6313, \"source\": 2, \"target\": 5}, {\"weight\": 15107, \"source\": 3, \"target\": 4}, {\"weight\": 14442, \"source\": 3, \"target\": 6}, {\"weight\": 17066, \"source\": 3, \"target\": 8}, {\"weight\": 14376, \"source\": 3, \"target\": 7}, {\"weight\": 20274, \"source\": 3, \"target\": 5}, {\"weight\": 1299, \"source\": 4, \"target\": 6}, {\"weight\": 3205, \"source\": 4, \"target\": 8}, {\"weight\": 2452, \"source\": 4, \"target\": 7}, {\"weight\": 5959, \"source\": 4, \"target\": 5}, {\"weight\": 6993, \"source\": 5, \"target\": 6}, {\"weight\": 5788, \"source\": 5, \"target\": 8}, {\"weight\": 7458, \"source\": 5, \"target\": 7}, {\"weight\": 4174, \"source\": 6, \"target\": 8}, {\"weight\": 2346, \"source\": 6, \"target\": 7}, {\"weight\": 3580, \"source\": 7, \"target\": 8}]}",
"id": 2256,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ISG, OTZ, CHO, AKY, CHA, CIX, YXU, CDR, NLD\n- Travel distances (in kilometers) between each pair of airports:\nISG to AKY: 3558\nISG to OTZ: 12862\nISG to CHA: 12895\nISG to CHO: 12947\nISG to YXU: 12420\nISG to NLD: 14149\nISG to CDR: 11650\nISG to CIX: 18132\nOTZ to AKY: 15622\nOTZ to CHA: 6253\nOTZ to CHO: 6356\nOTZ to YXU: 6012\nOTZ to NLD: 7887\nOTZ to CDR: 5098\nOTZ to CIX: 11844\nCHO to AKY: 14976\nCHO to CHA: 780\nCHO to YXU: 822\nCHO to NLD: 3768\nCHO to CDR: 2690\nCHO to CIX: 6313\nAKY to CHA: 15107\nAKY to YXU: 14442\nAKY to NLD: 17066\nAKY to CDR: 14376\nAKY to CIX: 20274\nCHA to YXU: 1299\nCHA to NLD: 3205\nCHA to CDR: 2452\nCHA to CIX: 5959\nCIX to YXU: 6993\nCIX to NLD: 5788\nCIX to CDR: 7458\nYXU to NLD: 4174\nYXU to CDR: 2346\nCDR to NLD: 3580\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: KIM, VSA, YLC, WRL, VAK, IUE, RDC, OSY, TIV\n- Travel distances (in kilometers) between each pair of airports:\nKIM to TIV: 8943\nKIM to VSA: 15122\nKIM to YLC: 15844\nKIM to VAK: 19833\nKIM to WRL: 16440\nKIM to IUE: 16123\nKIM to RDC: 10231\nKIM to OSY: 10693\nVSA to TIV: 10376\nVSA to YLC: 5813\nVSA to VAK: 7464\nVSA to WRL: 3292\nVSA to IUE: 16139\nVSA to RDC: 6585\nVSA to OSY: 9126\nYLC to TIV: 8101\nYLC to VAK: 7528\nYLC to WRL: 4570\nYLC to IUE: 18105\nYLC to RDC: 8844\nYLC to OSY: 7923\nWRL to TIV: 9829\nWRL to VAK: 5268\nWRL to IUE: 14906\nWRL to RDC: 8614\nWRL to OSY: 8023\nVAK to TIV: 12576\nVAK to IUE: 14906\nVAK to RDC: 12437\nVAK to OSY: 10742\nIUE to TIV: 20652\nIUE to RDC: 17091\nIUE to OSY: 20227\nRDC to TIV: 9891\nRDC to OSY: 10409\nOSY to TIV: 2592\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 74476,
"style": "rule"
}
|
{
"exact_answer": 74476,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"KIM\", \"id\": 0}, {\"name\": \"VSA\", \"id\": 1}, {\"name\": \"YLC\", \"id\": 2}, {\"name\": \"WRL\", \"id\": 3}, {\"name\": \"VAK\", \"id\": 4}, {\"name\": \"IUE\", \"id\": 5}, {\"name\": \"RDC\", \"id\": 6}, {\"name\": \"OSY\", \"id\": 7}, {\"name\": \"TIV\", \"id\": 8}], \"links\": [{\"weight\": 8943, \"source\": 0, \"target\": 8}, {\"weight\": 15122, \"source\": 0, \"target\": 1}, {\"weight\": 15844, \"source\": 0, \"target\": 2}, {\"weight\": 19833, \"source\": 0, \"target\": 4}, {\"weight\": 16440, \"source\": 0, \"target\": 3}, {\"weight\": 16123, \"source\": 0, \"target\": 5}, {\"weight\": 10231, \"source\": 0, \"target\": 6}, {\"weight\": 10693, \"source\": 0, \"target\": 7}, {\"weight\": 10376, \"source\": 1, \"target\": 8}, {\"weight\": 5813, \"source\": 1, \"target\": 2}, {\"weight\": 7464, \"source\": 1, \"target\": 4}, {\"weight\": 3292, \"source\": 1, \"target\": 3}, {\"weight\": 16139, \"source\": 1, \"target\": 5}, {\"weight\": 6585, \"source\": 1, \"target\": 6}, {\"weight\": 9126, \"source\": 1, \"target\": 7}, {\"weight\": 8101, \"source\": 2, \"target\": 8}, {\"weight\": 7528, \"source\": 2, \"target\": 4}, {\"weight\": 4570, \"source\": 2, \"target\": 3}, {\"weight\": 18105, \"source\": 2, \"target\": 5}, {\"weight\": 8844, \"source\": 2, \"target\": 6}, {\"weight\": 7923, \"source\": 2, \"target\": 7}, {\"weight\": 9829, \"source\": 3, \"target\": 8}, {\"weight\": 5268, \"source\": 3, \"target\": 4}, {\"weight\": 14906, \"source\": 3, \"target\": 5}, {\"weight\": 8614, \"source\": 3, \"target\": 6}, {\"weight\": 8023, \"source\": 3, \"target\": 7}, {\"weight\": 12576, \"source\": 4, \"target\": 8}, {\"weight\": 14906, \"source\": 4, \"target\": 5}, {\"weight\": 12437, \"source\": 4, \"target\": 6}, {\"weight\": 10742, \"source\": 4, \"target\": 7}, {\"weight\": 20652, \"source\": 5, \"target\": 8}, {\"weight\": 17091, \"source\": 5, \"target\": 6}, {\"weight\": 20227, \"source\": 5, \"target\": 7}, {\"weight\": 9891, \"source\": 6, \"target\": 8}, {\"weight\": 10409, \"source\": 6, \"target\": 7}, {\"weight\": 2592, \"source\": 7, \"target\": 8}]}",
"id": 2257,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: KIM, VSA, YLC, WRL, VAK, IUE, RDC, OSY, TIV\n- Travel distances (in kilometers) between each pair of airports:\nKIM to TIV: 8943\nKIM to VSA: 15122\nKIM to YLC: 15844\nKIM to VAK: 19833\nKIM to WRL: 16440\nKIM to IUE: 16123\nKIM to RDC: 10231\nKIM to OSY: 10693\nVSA to TIV: 10376\nVSA to YLC: 5813\nVSA to VAK: 7464\nVSA to WRL: 3292\nVSA to IUE: 16139\nVSA to RDC: 6585\nVSA to OSY: 9126\nYLC to TIV: 8101\nYLC to VAK: 7528\nYLC to WRL: 4570\nYLC to IUE: 18105\nYLC to RDC: 8844\nYLC to OSY: 7923\nWRL to TIV: 9829\nWRL to VAK: 5268\nWRL to IUE: 14906\nWRL to RDC: 8614\nWRL to OSY: 8023\nVAK to TIV: 12576\nVAK to IUE: 14906\nVAK to RDC: 12437\nVAK to OSY: 10742\nIUE to TIV: 20652\nIUE to RDC: 17091\nIUE to OSY: 20227\nRDC to TIV: 9891\nRDC to OSY: 10409\nOSY to TIV: 2592\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: FOE, LRS, MHK, REC, OGD, ODO, CRW, TRO, GHB\n- Travel distances (in kilometers) between each pair of airports:\nFOE to ODO: 13602\nFOE to GHB: 2967\nFOE to CRW: 1406\nFOE to LRS: 9771\nFOE to MHK: 1541\nFOE to REC: 8734\nFOE to OGD: 3905\nFOE to TRO: 15858\nLRS to ODO: 7318\nLRS to GHB: 9784\nLRS to CRW: 8925\nLRS to MHK: 9838\nLRS to REC: 9010\nLRS to OGD: 12045\nLRS to TRO: 15682\nMHK to ODO: 13669\nMHK to GHB: 2885\nMHK to CRW: 1473\nMHK to REC: 8681\nMHK to OGD: 3474\nMHK to TRO: 14763\nREC to ODO: 14774\nREC to GHB: 6189\nREC to CRW: 7401\nREC to OGD: 10586\nREC to TRO: 16244\nOGD to ODO: 13920\nOGD to GHB: 4778\nOGD to CRW: 3837\nOGD to TRO: 14021\nODO to GHB: 14068\nODO to CRW: 12920\nODO to TRO: 11748\nCRW to GHB: 1652\nCRW to TRO: 15588\nTRO to GHB: 16258\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 56359,
"style": "rule"
}
|
{
"exact_answer": 56359,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"FOE\", \"id\": 0}, {\"name\": \"LRS\", \"id\": 1}, {\"name\": \"MHK\", \"id\": 2}, {\"name\": \"REC\", \"id\": 3}, {\"name\": \"OGD\", \"id\": 4}, {\"name\": \"ODO\", \"id\": 5}, {\"name\": \"CRW\", \"id\": 6}, {\"name\": \"TRO\", \"id\": 7}, {\"name\": \"GHB\", \"id\": 8}], \"links\": [{\"weight\": 13602, \"source\": 0, \"target\": 5}, {\"weight\": 2967, \"source\": 0, \"target\": 8}, {\"weight\": 1406, \"source\": 0, \"target\": 6}, {\"weight\": 9771, \"source\": 0, \"target\": 1}, {\"weight\": 1541, \"source\": 0, \"target\": 2}, {\"weight\": 8734, \"source\": 0, \"target\": 3}, {\"weight\": 3905, \"source\": 0, \"target\": 4}, {\"weight\": 15858, \"source\": 0, \"target\": 7}, {\"weight\": 7318, \"source\": 1, \"target\": 5}, {\"weight\": 9784, \"source\": 1, \"target\": 8}, {\"weight\": 8925, \"source\": 1, \"target\": 6}, {\"weight\": 9838, \"source\": 1, \"target\": 2}, {\"weight\": 9010, \"source\": 1, \"target\": 3}, {\"weight\": 12045, \"source\": 1, \"target\": 4}, {\"weight\": 15682, \"source\": 1, \"target\": 7}, {\"weight\": 13669, \"source\": 2, \"target\": 5}, {\"weight\": 2885, \"source\": 2, \"target\": 8}, {\"weight\": 1473, \"source\": 2, \"target\": 6}, {\"weight\": 8681, \"source\": 2, \"target\": 3}, {\"weight\": 3474, \"source\": 2, \"target\": 4}, {\"weight\": 14763, \"source\": 2, \"target\": 7}, {\"weight\": 14774, \"source\": 3, \"target\": 5}, {\"weight\": 6189, \"source\": 3, \"target\": 8}, {\"weight\": 7401, \"source\": 3, \"target\": 6}, {\"weight\": 10586, \"source\": 3, \"target\": 4}, {\"weight\": 16244, \"source\": 3, \"target\": 7}, {\"weight\": 13920, \"source\": 4, \"target\": 5}, {\"weight\": 4778, \"source\": 4, \"target\": 8}, {\"weight\": 3837, \"source\": 4, \"target\": 6}, {\"weight\": 14021, \"source\": 4, \"target\": 7}, {\"weight\": 14068, \"source\": 5, \"target\": 8}, {\"weight\": 12920, \"source\": 5, \"target\": 6}, {\"weight\": 11748, \"source\": 5, \"target\": 7}, {\"weight\": 1652, \"source\": 6, \"target\": 8}, {\"weight\": 15588, \"source\": 6, \"target\": 7}, {\"weight\": 16258, \"source\": 7, \"target\": 8}]}",
"id": 2258,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: FOE, LRS, MHK, REC, OGD, ODO, CRW, TRO, GHB\n- Travel distances (in kilometers) between each pair of airports:\nFOE to ODO: 13602\nFOE to GHB: 2967\nFOE to CRW: 1406\nFOE to LRS: 9771\nFOE to MHK: 1541\nFOE to REC: 8734\nFOE to OGD: 3905\nFOE to TRO: 15858\nLRS to ODO: 7318\nLRS to GHB: 9784\nLRS to CRW: 8925\nLRS to MHK: 9838\nLRS to REC: 9010\nLRS to OGD: 12045\nLRS to TRO: 15682\nMHK to ODO: 13669\nMHK to GHB: 2885\nMHK to CRW: 1473\nMHK to REC: 8681\nMHK to OGD: 3474\nMHK to TRO: 14763\nREC to ODO: 14774\nREC to GHB: 6189\nREC to CRW: 7401\nREC to OGD: 10586\nREC to TRO: 16244\nOGD to ODO: 13920\nOGD to GHB: 4778\nOGD to CRW: 3837\nOGD to TRO: 14021\nODO to GHB: 14068\nODO to CRW: 12920\nODO to TRO: 11748\nCRW to GHB: 1652\nCRW to TRO: 15588\nTRO to GHB: 16258\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, KIR, OZH, AZD, GDE, LMM, DFW, PTU, DSM\n- Travel distances (in kilometers) between each pair of airports:\nVDS to DFW: 8924\nVDS to PTU: 11797\nVDS to DSM: 8175\nVDS to LMM: 10436\nVDS to AZD: 5815\nVDS to KIR: 2930\nVDS to GDE: 8038\nVDS to OZH: 3285\nKIR to DFW: 7443\nKIR to PTU: 10872\nKIR to DSM: 6632\nKIR to LMM: 9252\nKIR to AZD: 5693\nKIR to GDE: 7340\nKIR to OZH: 3218\nOZH to DFW: 9895\nOZH to PTU: 12837\nOZH to DSM: 9084\nOZH to LMM: 11476\nOZH to AZD: 3854\nOZH to GDE: 5719\nAZD to DFW: 12652\nAZD to PTU: 15641\nAZD to DSM: 11814\nAZD to LMM: 14280\nAZD to GDE: 3537\nGDE to DFW: 14249\nGDE to PTU: 17417\nGDE to DSM: 13480\nGDE to LMM: 16044\nLMM to DFW: 1809\nLMM to PTU: 5852\nLMM to DSM: 2764\nDFW to DSM: 1005\nDFW to PTU: 5730\nPTU to DSM: 5250\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 45111,
"style": "rule"
}
|
{
"exact_answer": 45111,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"VDS\", \"id\": 0}, {\"name\": \"KIR\", \"id\": 1}, {\"name\": \"OZH\", \"id\": 2}, {\"name\": \"AZD\", \"id\": 3}, {\"name\": \"GDE\", \"id\": 4}, {\"name\": \"LMM\", \"id\": 5}, {\"name\": \"DFW\", \"id\": 6}, {\"name\": \"PTU\", \"id\": 7}, {\"name\": \"DSM\", \"id\": 8}], \"links\": [{\"weight\": 8924, \"source\": 0, \"target\": 6}, {\"weight\": 11797, \"source\": 0, \"target\": 7}, {\"weight\": 8175, \"source\": 0, \"target\": 8}, {\"weight\": 10436, \"source\": 0, \"target\": 5}, {\"weight\": 5815, \"source\": 0, \"target\": 3}, {\"weight\": 2930, \"source\": 0, \"target\": 1}, {\"weight\": 8038, \"source\": 0, \"target\": 4}, {\"weight\": 3285, \"source\": 0, \"target\": 2}, {\"weight\": 7443, \"source\": 1, \"target\": 6}, {\"weight\": 10872, \"source\": 1, \"target\": 7}, {\"weight\": 6632, \"source\": 1, \"target\": 8}, {\"weight\": 9252, \"source\": 1, \"target\": 5}, {\"weight\": 5693, \"source\": 1, \"target\": 3}, {\"weight\": 7340, \"source\": 1, \"target\": 4}, {\"weight\": 3218, \"source\": 1, \"target\": 2}, {\"weight\": 9895, \"source\": 2, \"target\": 6}, {\"weight\": 12837, \"source\": 2, \"target\": 7}, {\"weight\": 9084, \"source\": 2, \"target\": 8}, {\"weight\": 11476, \"source\": 2, \"target\": 5}, {\"weight\": 3854, \"source\": 2, \"target\": 3}, {\"weight\": 5719, \"source\": 2, \"target\": 4}, {\"weight\": 12652, \"source\": 3, \"target\": 6}, {\"weight\": 15641, \"source\": 3, \"target\": 7}, {\"weight\": 11814, \"source\": 3, \"target\": 8}, {\"weight\": 14280, \"source\": 3, \"target\": 5}, {\"weight\": 3537, \"source\": 3, \"target\": 4}, {\"weight\": 14249, \"source\": 4, \"target\": 6}, {\"weight\": 17417, \"source\": 4, \"target\": 7}, {\"weight\": 13480, \"source\": 4, \"target\": 8}, {\"weight\": 16044, \"source\": 4, \"target\": 5}, {\"weight\": 1809, \"source\": 5, \"target\": 6}, {\"weight\": 5852, \"source\": 5, \"target\": 7}, {\"weight\": 2764, \"source\": 5, \"target\": 8}, {\"weight\": 1005, \"source\": 6, \"target\": 8}, {\"weight\": 5730, \"source\": 6, \"target\": 7}, {\"weight\": 5250, \"source\": 7, \"target\": 8}]}",
"id": 2259,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, KIR, OZH, AZD, GDE, LMM, DFW, PTU, DSM\n- Travel distances (in kilometers) between each pair of airports:\nVDS to DFW: 8924\nVDS to PTU: 11797\nVDS to DSM: 8175\nVDS to LMM: 10436\nVDS to AZD: 5815\nVDS to KIR: 2930\nVDS to GDE: 8038\nVDS to OZH: 3285\nKIR to DFW: 7443\nKIR to PTU: 10872\nKIR to DSM: 6632\nKIR to LMM: 9252\nKIR to AZD: 5693\nKIR to GDE: 7340\nKIR to OZH: 3218\nOZH to DFW: 9895\nOZH to PTU: 12837\nOZH to DSM: 9084\nOZH to LMM: 11476\nOZH to AZD: 3854\nOZH to GDE: 5719\nAZD to DFW: 12652\nAZD to PTU: 15641\nAZD to DSM: 11814\nAZD to LMM: 14280\nAZD to GDE: 3537\nGDE to DFW: 14249\nGDE to PTU: 17417\nGDE to DSM: 13480\nGDE to LMM: 16044\nLMM to DFW: 1809\nLMM to PTU: 5852\nLMM to DSM: 2764\nDFW to DSM: 1005\nDFW to PTU: 5730\nPTU to DSM: 5250\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SPC, LGL, CEK, SUG, GST, KXU, YNC, LAM, GGW\n- Travel distances (in kilometers) between each pair of airports:\nSPC to CEK: 6764\nSPC to SUG: 14212\nSPC to GGW: 8877\nSPC to GST: 11118\nSPC to LAM: 9839\nSPC to LGL: 14139\nSPC to KXU: 16770\nSPC to YNC: 7006\nLGL to CEK: 8050\nLGL to SUG: 1719\nLGL to GGW: 13607\nLGL to GST: 13764\nLGL to LAM: 15169\nLGL to KXU: 13000\nLGL to YNC: 15515\nCEK to SUG: 7662\nCEK to GGW: 11413\nCEK to GST: 11989\nCEK to LAM: 11998\nCEK to KXU: 15993\nCEK to YNC: 9914\nSUG to GGW: 12478\nSUG to GST: 12635\nSUG to LAM: 14040\nSUG to KXU: 11785\nSUG to YNC: 14386\nGST to GGW: 2895\nGST to LAM: 4481\nGST to KXU: 10053\nGST to YNC: 5238\nKXU to GGW: 8867\nKXU to LAM: 9136\nKXU to YNC: 11274\nYNC to GGW: 3761\nYNC to LAM: 4676\nLAM to GGW: 2656\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 55249,
"style": "rule"
}
|
{
"exact_answer": 55249,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"SPC\", \"id\": 0}, {\"name\": \"LGL\", \"id\": 1}, {\"name\": \"CEK\", \"id\": 2}, {\"name\": \"SUG\", \"id\": 3}, {\"name\": \"GST\", \"id\": 4}, {\"name\": \"KXU\", \"id\": 5}, {\"name\": \"YNC\", \"id\": 6}, {\"name\": \"LAM\", \"id\": 7}, {\"name\": \"GGW\", \"id\": 8}], \"links\": [{\"weight\": 6764, \"source\": 0, \"target\": 2}, {\"weight\": 14212, \"source\": 0, \"target\": 3}, {\"weight\": 8877, \"source\": 0, \"target\": 8}, {\"weight\": 11118, \"source\": 0, \"target\": 4}, {\"weight\": 9839, \"source\": 0, \"target\": 7}, {\"weight\": 14139, \"source\": 0, \"target\": 1}, {\"weight\": 16770, \"source\": 0, \"target\": 5}, {\"weight\": 7006, \"source\": 0, \"target\": 6}, {\"weight\": 8050, \"source\": 1, \"target\": 2}, {\"weight\": 1719, \"source\": 1, \"target\": 3}, {\"weight\": 13607, \"source\": 1, \"target\": 8}, {\"weight\": 13764, \"source\": 1, \"target\": 4}, {\"weight\": 15169, \"source\": 1, \"target\": 7}, {\"weight\": 13000, \"source\": 1, \"target\": 5}, {\"weight\": 15515, \"source\": 1, \"target\": 6}, {\"weight\": 7662, \"source\": 2, \"target\": 3}, {\"weight\": 11413, \"source\": 2, \"target\": 8}, {\"weight\": 11989, \"source\": 2, \"target\": 4}, {\"weight\": 11998, \"source\": 2, \"target\": 7}, {\"weight\": 15993, \"source\": 2, \"target\": 5}, {\"weight\": 9914, \"source\": 2, \"target\": 6}, {\"weight\": 12478, \"source\": 3, \"target\": 8}, {\"weight\": 12635, \"source\": 3, \"target\": 4}, {\"weight\": 14040, \"source\": 3, \"target\": 7}, {\"weight\": 11785, \"source\": 3, \"target\": 5}, {\"weight\": 14386, \"source\": 3, \"target\": 6}, {\"weight\": 2895, \"source\": 4, \"target\": 8}, {\"weight\": 4481, \"source\": 4, \"target\": 7}, {\"weight\": 10053, \"source\": 4, \"target\": 5}, {\"weight\": 5238, \"source\": 4, \"target\": 6}, {\"weight\": 8867, \"source\": 5, \"target\": 8}, {\"weight\": 9136, \"source\": 5, \"target\": 7}, {\"weight\": 11274, \"source\": 5, \"target\": 6}, {\"weight\": 3761, \"source\": 6, \"target\": 8}, {\"weight\": 4676, \"source\": 6, \"target\": 7}, {\"weight\": 2656, \"source\": 7, \"target\": 8}]}",
"id": 2260,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SPC, LGL, CEK, SUG, GST, KXU, YNC, LAM, GGW\n- Travel distances (in kilometers) between each pair of airports:\nSPC to CEK: 6764\nSPC to SUG: 14212\nSPC to GGW: 8877\nSPC to GST: 11118\nSPC to LAM: 9839\nSPC to LGL: 14139\nSPC to KXU: 16770\nSPC to YNC: 7006\nLGL to CEK: 8050\nLGL to SUG: 1719\nLGL to GGW: 13607\nLGL to GST: 13764\nLGL to LAM: 15169\nLGL to KXU: 13000\nLGL to YNC: 15515\nCEK to SUG: 7662\nCEK to GGW: 11413\nCEK to GST: 11989\nCEK to LAM: 11998\nCEK to KXU: 15993\nCEK to YNC: 9914\nSUG to GGW: 12478\nSUG to GST: 12635\nSUG to LAM: 14040\nSUG to KXU: 11785\nSUG to YNC: 14386\nGST to GGW: 2895\nGST to LAM: 4481\nGST to KXU: 10053\nGST to YNC: 5238\nKXU to GGW: 8867\nKXU to LAM: 9136\nKXU to YNC: 11274\nYNC to GGW: 3761\nYNC to LAM: 4676\nLAM to GGW: 2656\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BUC, AMA, SDE, PUF, LKO, AOJ, SJE, KOO, LKB\n- Travel distances (in kilometers) between each pair of airports:\nBUC to LKO: 8838\nBUC to SJE: 18439\nBUC to PUF: 16102\nBUC to AMA: 15090\nBUC to SDE: 15988\nBUC to KOO: 17161\nBUC to LKB: 5069\nBUC to AOJ: 7610\nAMA to LKO: 14210\nAMA to SJE: 4705\nAMA to PUF: 8776\nAMA to SDE: 10003\nAMA to KOO: 14748\nAMA to LKB: 10887\nAMA to AOJ: 10506\nSDE to LKO: 17343\nSDE to SJE: 6285\nSDE to PUF: 12203\nSDE to KOO: 11562\nSDE to LKB: 14156\nSDE to AOJ: 20222\nPUF to LKO: 7374\nPUF to SJE: 9534\nPUF to KOO: 8288\nPUF to LKB: 18107\nPUF to AOJ: 10361\nLKO to SJE: 15915\nLKO to KOO: 9814\nLKO to LKB: 12142\nLKO to AOJ: 6300\nAOJ to SJE: 15178\nAOJ to KOO: 15366\nAOJ to LKB: 9668\nSJE to KOO: 13481\nSJE to LKB: 15178\nKOO to LKB: 19216\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 68080,
"style": "rule"
}
|
{
"exact_answer": 68080,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"BUC\", \"id\": 0}, {\"name\": \"AMA\", \"id\": 1}, {\"name\": \"SDE\", \"id\": 2}, {\"name\": \"PUF\", \"id\": 3}, {\"name\": \"LKO\", \"id\": 4}, {\"name\": \"AOJ\", \"id\": 5}, {\"name\": \"SJE\", \"id\": 6}, {\"name\": \"KOO\", \"id\": 7}, {\"name\": \"LKB\", \"id\": 8}], \"links\": [{\"weight\": 8838, \"source\": 0, \"target\": 4}, {\"weight\": 18439, \"source\": 0, \"target\": 6}, {\"weight\": 16102, \"source\": 0, \"target\": 3}, {\"weight\": 15090, \"source\": 0, \"target\": 1}, {\"weight\": 15988, \"source\": 0, \"target\": 2}, {\"weight\": 17161, \"source\": 0, \"target\": 7}, {\"weight\": 5069, \"source\": 0, \"target\": 8}, {\"weight\": 7610, \"source\": 0, \"target\": 5}, {\"weight\": 14210, \"source\": 1, \"target\": 4}, {\"weight\": 4705, \"source\": 1, \"target\": 6}, {\"weight\": 8776, \"source\": 1, \"target\": 3}, {\"weight\": 10003, \"source\": 1, \"target\": 2}, {\"weight\": 14748, \"source\": 1, \"target\": 7}, {\"weight\": 10887, \"source\": 1, \"target\": 8}, {\"weight\": 10506, \"source\": 1, \"target\": 5}, {\"weight\": 17343, \"source\": 2, \"target\": 4}, {\"weight\": 6285, \"source\": 2, \"target\": 6}, {\"weight\": 12203, \"source\": 2, \"target\": 3}, {\"weight\": 11562, \"source\": 2, \"target\": 7}, {\"weight\": 14156, \"source\": 2, \"target\": 8}, {\"weight\": 20222, \"source\": 2, \"target\": 5}, {\"weight\": 7374, \"source\": 3, \"target\": 4}, {\"weight\": 9534, \"source\": 3, \"target\": 6}, {\"weight\": 8288, \"source\": 3, \"target\": 7}, {\"weight\": 18107, \"source\": 3, \"target\": 8}, {\"weight\": 10361, \"source\": 3, \"target\": 5}, {\"weight\": 15915, \"source\": 4, \"target\": 6}, {\"weight\": 9814, \"source\": 4, \"target\": 7}, {\"weight\": 12142, \"source\": 4, \"target\": 8}, {\"weight\": 6300, \"source\": 4, \"target\": 5}, {\"weight\": 15178, \"source\": 5, \"target\": 6}, {\"weight\": 15366, \"source\": 5, \"target\": 7}, {\"weight\": 9668, \"source\": 5, \"target\": 8}, {\"weight\": 13481, \"source\": 6, \"target\": 7}, {\"weight\": 15178, \"source\": 6, \"target\": 8}, {\"weight\": 19216, \"source\": 7, \"target\": 8}]}",
"id": 2261,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BUC, AMA, SDE, PUF, LKO, AOJ, SJE, KOO, LKB\n- Travel distances (in kilometers) between each pair of airports:\nBUC to LKO: 8838\nBUC to SJE: 18439\nBUC to PUF: 16102\nBUC to AMA: 15090\nBUC to SDE: 15988\nBUC to KOO: 17161\nBUC to LKB: 5069\nBUC to AOJ: 7610\nAMA to LKO: 14210\nAMA to SJE: 4705\nAMA to PUF: 8776\nAMA to SDE: 10003\nAMA to KOO: 14748\nAMA to LKB: 10887\nAMA to AOJ: 10506\nSDE to LKO: 17343\nSDE to SJE: 6285\nSDE to PUF: 12203\nSDE to KOO: 11562\nSDE to LKB: 14156\nSDE to AOJ: 20222\nPUF to LKO: 7374\nPUF to SJE: 9534\nPUF to KOO: 8288\nPUF to LKB: 18107\nPUF to AOJ: 10361\nLKO to SJE: 15915\nLKO to KOO: 9814\nLKO to LKB: 12142\nLKO to AOJ: 6300\nAOJ to SJE: 15178\nAOJ to KOO: 15366\nAOJ to LKB: 9668\nSJE to KOO: 13481\nSJE to LKB: 15178\nKOO to LKB: 19216\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, PEG, SRZ, CSY, HAA, PED, LPL, YZS, MQM\n- Travel distances (in kilometers) between each pair of airports:\nTYS to YZS: 3828\nTYS to CSY: 8996\nTYS to SRZ: 6599\nTYS to LPL: 6364\nTYS to PEG: 7947\nTYS to MQM: 10153\nTYS to PED: 9335\nTYS to HAA: 7726\nPEG to YZS: 8742\nPEG to CSY: 3784\nPEG to SRZ: 11363\nPEG to LPL: 1900\nPEG to MQM: 2642\nPEG to PED: 4472\nPEG to HAA: 3700\nSRZ to YZS: 10330\nSRZ to CSY: 13793\nSRZ to LPL: 11194\nSRZ to MQM: 13575\nSRZ to PED: 14355\nSRZ to HAA: 13417\nCSY to YZS: 10056\nCSY to LPL: 3234\nCSY to MQM: 3384\nCSY to PED: 2195\nCSY to HAA: 2794\nHAA to YZS: 9328\nHAA to LPL: 2437\nHAA to MQM: 4554\nHAA to PED: 3133\nPED to YZS: 10454\nPED to LPL: 3586\nPED to MQM: 4389\nLPL to YZS: 7476\nLPL to MQM: 3797\nYZS to MQM: 10504\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 43057,
"style": "rule"
}
|
{
"exact_answer": 43057,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"TYS\", \"id\": 0}, {\"name\": \"PEG\", \"id\": 1}, {\"name\": \"SRZ\", \"id\": 2}, {\"name\": \"CSY\", \"id\": 3}, {\"name\": \"HAA\", \"id\": 4}, {\"name\": \"PED\", \"id\": 5}, {\"name\": \"LPL\", \"id\": 6}, {\"name\": \"YZS\", \"id\": 7}, {\"name\": \"MQM\", \"id\": 8}], \"links\": [{\"weight\": 3828, \"source\": 0, \"target\": 7}, {\"weight\": 8996, \"source\": 0, \"target\": 3}, {\"weight\": 6599, \"source\": 0, \"target\": 2}, {\"weight\": 6364, \"source\": 0, \"target\": 6}, {\"weight\": 7947, \"source\": 0, \"target\": 1}, {\"weight\": 10153, \"source\": 0, \"target\": 8}, {\"weight\": 9335, \"source\": 0, \"target\": 5}, {\"weight\": 7726, \"source\": 0, \"target\": 4}, {\"weight\": 8742, \"source\": 1, \"target\": 7}, {\"weight\": 3784, \"source\": 1, \"target\": 3}, {\"weight\": 11363, \"source\": 1, \"target\": 2}, {\"weight\": 1900, \"source\": 1, \"target\": 6}, {\"weight\": 2642, \"source\": 1, \"target\": 8}, {\"weight\": 4472, \"source\": 1, \"target\": 5}, {\"weight\": 3700, \"source\": 1, \"target\": 4}, {\"weight\": 10330, \"source\": 2, \"target\": 7}, {\"weight\": 13793, \"source\": 2, \"target\": 3}, {\"weight\": 11194, \"source\": 2, \"target\": 6}, {\"weight\": 13575, \"source\": 2, \"target\": 8}, {\"weight\": 14355, \"source\": 2, \"target\": 5}, {\"weight\": 13417, \"source\": 2, \"target\": 4}, {\"weight\": 10056, \"source\": 3, \"target\": 7}, {\"weight\": 3234, \"source\": 3, \"target\": 6}, {\"weight\": 3384, \"source\": 3, \"target\": 8}, {\"weight\": 2195, \"source\": 3, \"target\": 5}, {\"weight\": 2794, \"source\": 3, \"target\": 4}, {\"weight\": 9328, \"source\": 4, \"target\": 7}, {\"weight\": 2437, \"source\": 4, \"target\": 6}, {\"weight\": 4554, \"source\": 4, \"target\": 8}, {\"weight\": 3133, \"source\": 4, \"target\": 5}, {\"weight\": 10454, \"source\": 5, \"target\": 7}, {\"weight\": 3586, \"source\": 5, \"target\": 6}, {\"weight\": 4389, \"source\": 5, \"target\": 8}, {\"weight\": 7476, \"source\": 6, \"target\": 7}, {\"weight\": 3797, \"source\": 6, \"target\": 8}, {\"weight\": 10504, \"source\": 7, \"target\": 8}]}",
"id": 2262,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, PEG, SRZ, CSY, HAA, PED, LPL, YZS, MQM\n- Travel distances (in kilometers) between each pair of airports:\nTYS to YZS: 3828\nTYS to CSY: 8996\nTYS to SRZ: 6599\nTYS to LPL: 6364\nTYS to PEG: 7947\nTYS to MQM: 10153\nTYS to PED: 9335\nTYS to HAA: 7726\nPEG to YZS: 8742\nPEG to CSY: 3784\nPEG to SRZ: 11363\nPEG to LPL: 1900\nPEG to MQM: 2642\nPEG to PED: 4472\nPEG to HAA: 3700\nSRZ to YZS: 10330\nSRZ to CSY: 13793\nSRZ to LPL: 11194\nSRZ to MQM: 13575\nSRZ to PED: 14355\nSRZ to HAA: 13417\nCSY to YZS: 10056\nCSY to LPL: 3234\nCSY to MQM: 3384\nCSY to PED: 2195\nCSY to HAA: 2794\nHAA to YZS: 9328\nHAA to LPL: 2437\nHAA to MQM: 4554\nHAA to PED: 3133\nPED to YZS: 10454\nPED to LPL: 3586\nPED to MQM: 4389\nLPL to YZS: 7476\nLPL to MQM: 3797\nYZS to MQM: 10504\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: UKS, UVF, LOS, MBT, PRC, TKU, KYZ, NLG, HUU\n- Travel distances (in kilometers) between each pair of airports:\nUKS to HUU: 13220\nUKS to TKU: 1931\nUKS to LOS: 6277\nUKS to UVF: 9630\nUKS to NLG: 13356\nUKS to KYZ: 6125\nUKS to MBT: 9820\nUKS to PRC: 11398\nUVF to HUU: 3817\nUVF to TKU: 8405\nUVF to LOS: 9186\nUVF to NLG: 9775\nUVF to KYZ: 13947\nUVF to MBT: 17306\nUVF to PRC: 6738\nLOS to HUU: 10074\nLOS to TKU: 6203\nLOS to NLG: 15264\nLOS to KYZ: 10912\nLOS to MBT: 13159\nLOS to PRC: 12973\nMBT to HUU: 19084\nMBT to TKU: 9472\nMBT to NLG: 14491\nMBT to KYZ: 5574\nMBT to PRC: 12664\nPRC to HUU: 7530\nPRC to TKU: 9677\nPRC to NLG: 5452\nPRC to KYZ: 12923\nTKU to HUU: 12185\nTKU to NLG: 11664\nTKU to KYZ: 5573\nKYZ to HUU: 17614\nKYZ to NLG: 14462\nNLG to HUU: 11694\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 59831,
"style": "rule"
}
|
{
"exact_answer": 59831,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"UKS\", \"id\": 0}, {\"name\": \"UVF\", \"id\": 1}, {\"name\": \"LOS\", \"id\": 2}, {\"name\": \"MBT\", \"id\": 3}, {\"name\": \"PRC\", \"id\": 4}, {\"name\": \"TKU\", \"id\": 5}, {\"name\": \"KYZ\", \"id\": 6}, {\"name\": \"NLG\", \"id\": 7}, {\"name\": \"HUU\", \"id\": 8}], \"links\": [{\"weight\": 13220, \"source\": 0, \"target\": 8}, {\"weight\": 1931, \"source\": 0, \"target\": 5}, {\"weight\": 6277, \"source\": 0, \"target\": 2}, {\"weight\": 9630, \"source\": 0, \"target\": 1}, {\"weight\": 13356, \"source\": 0, \"target\": 7}, {\"weight\": 6125, \"source\": 0, \"target\": 6}, {\"weight\": 9820, \"source\": 0, \"target\": 3}, {\"weight\": 11398, \"source\": 0, \"target\": 4}, {\"weight\": 3817, \"source\": 1, \"target\": 8}, {\"weight\": 8405, \"source\": 1, \"target\": 5}, {\"weight\": 9186, \"source\": 1, \"target\": 2}, {\"weight\": 9775, \"source\": 1, \"target\": 7}, {\"weight\": 13947, \"source\": 1, \"target\": 6}, {\"weight\": 17306, \"source\": 1, \"target\": 3}, {\"weight\": 6738, \"source\": 1, \"target\": 4}, {\"weight\": 10074, \"source\": 2, \"target\": 8}, {\"weight\": 6203, \"source\": 2, \"target\": 5}, {\"weight\": 15264, \"source\": 2, \"target\": 7}, {\"weight\": 10912, \"source\": 2, \"target\": 6}, {\"weight\": 13159, \"source\": 2, \"target\": 3}, {\"weight\": 12973, \"source\": 2, \"target\": 4}, {\"weight\": 19084, \"source\": 3, \"target\": 8}, {\"weight\": 9472, \"source\": 3, \"target\": 5}, {\"weight\": 14491, \"source\": 3, \"target\": 7}, {\"weight\": 5574, \"source\": 3, \"target\": 6}, {\"weight\": 12664, \"source\": 3, \"target\": 4}, {\"weight\": 7530, \"source\": 4, \"target\": 8}, {\"weight\": 9677, \"source\": 4, \"target\": 5}, {\"weight\": 5452, \"source\": 4, \"target\": 7}, {\"weight\": 12923, \"source\": 4, \"target\": 6}, {\"weight\": 12185, \"source\": 5, \"target\": 8}, {\"weight\": 11664, \"source\": 5, \"target\": 7}, {\"weight\": 5573, \"source\": 5, \"target\": 6}, {\"weight\": 17614, \"source\": 6, \"target\": 8}, {\"weight\": 14462, \"source\": 6, \"target\": 7}, {\"weight\": 11694, \"source\": 7, \"target\": 8}]}",
"id": 2263,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: UKS, UVF, LOS, MBT, PRC, TKU, KYZ, NLG, HUU\n- Travel distances (in kilometers) between each pair of airports:\nUKS to HUU: 13220\nUKS to TKU: 1931\nUKS to LOS: 6277\nUKS to UVF: 9630\nUKS to NLG: 13356\nUKS to KYZ: 6125\nUKS to MBT: 9820\nUKS to PRC: 11398\nUVF to HUU: 3817\nUVF to TKU: 8405\nUVF to LOS: 9186\nUVF to NLG: 9775\nUVF to KYZ: 13947\nUVF to MBT: 17306\nUVF to PRC: 6738\nLOS to HUU: 10074\nLOS to TKU: 6203\nLOS to NLG: 15264\nLOS to KYZ: 10912\nLOS to MBT: 13159\nLOS to PRC: 12973\nMBT to HUU: 19084\nMBT to TKU: 9472\nMBT to NLG: 14491\nMBT to KYZ: 5574\nMBT to PRC: 12664\nPRC to HUU: 7530\nPRC to TKU: 9677\nPRC to NLG: 5452\nPRC to KYZ: 12923\nTKU to HUU: 12185\nTKU to NLG: 11664\nTKU to KYZ: 5573\nKYZ to HUU: 17614\nKYZ to NLG: 14462\nNLG to HUU: 11694\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PQI, CCV, LPS, ORH, VQS, SRG, BOJ, FKB, AGH\n- Travel distances (in kilometers) between each pair of airports:\nPQI to FKB: 6460\nPQI to VQS: 3298\nPQI to SRG: 17259\nPQI to ORH: 4096\nPQI to AGH: 7028\nPQI to BOJ: 8090\nPQI to LPS: 4711\nPQI to CCV: 14746\nCCV to FKB: 17170\nCCV to VQS: 15524\nCCV to SRG: 6934\nCCV to ORH: 15340\nCCV to AGH: 16357\nCCV to BOJ: 16636\nCCV to LPS: 10715\nLPS to FKB: 8522\nLPS to VQS: 6229\nLPS to SRG: 13792\nLPS to ORH: 6033\nLPS to AGH: 8603\nLPS to BOJ: 9927\nORH to FKB: 9422\nORH to VQS: 3698\nORH to SRG: 19349\nORH to AGH: 10047\nORH to BOJ: 11049\nVQS to FKB: 8136\nVQS to SRG: 18860\nVQS to AGH: 8797\nVQS to BOJ: 9097\nSRG to FKB: 11702\nSRG to AGH: 11300\nSRG to BOJ: 10642\nBOJ to FKB: 2098\nBOJ to AGH: 2735\nFKB to AGH: 1858\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 52304,
"style": "rule"
}
|
{
"exact_answer": 52304,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"PQI\", \"id\": 0}, {\"name\": \"CCV\", \"id\": 1}, {\"name\": \"LPS\", \"id\": 2}, {\"name\": \"ORH\", \"id\": 3}, {\"name\": \"VQS\", \"id\": 4}, {\"name\": \"SRG\", \"id\": 5}, {\"name\": \"BOJ\", \"id\": 6}, {\"name\": \"FKB\", \"id\": 7}, {\"name\": \"AGH\", \"id\": 8}], \"links\": [{\"weight\": 6460, \"source\": 0, \"target\": 7}, {\"weight\": 3298, \"source\": 0, \"target\": 4}, {\"weight\": 17259, \"source\": 0, \"target\": 5}, {\"weight\": 4096, \"source\": 0, \"target\": 3}, {\"weight\": 7028, \"source\": 0, \"target\": 8}, {\"weight\": 8090, \"source\": 0, \"target\": 6}, {\"weight\": 4711, \"source\": 0, \"target\": 2}, {\"weight\": 14746, \"source\": 0, \"target\": 1}, {\"weight\": 17170, \"source\": 1, \"target\": 7}, {\"weight\": 15524, \"source\": 1, \"target\": 4}, {\"weight\": 6934, \"source\": 1, \"target\": 5}, {\"weight\": 15340, \"source\": 1, \"target\": 3}, {\"weight\": 16357, \"source\": 1, \"target\": 8}, {\"weight\": 16636, \"source\": 1, \"target\": 6}, {\"weight\": 10715, \"source\": 1, \"target\": 2}, {\"weight\": 8522, \"source\": 2, \"target\": 7}, {\"weight\": 6229, \"source\": 2, \"target\": 4}, {\"weight\": 13792, \"source\": 2, \"target\": 5}, {\"weight\": 6033, \"source\": 2, \"target\": 3}, {\"weight\": 8603, \"source\": 2, \"target\": 8}, {\"weight\": 9927, \"source\": 2, \"target\": 6}, {\"weight\": 9422, \"source\": 3, \"target\": 7}, {\"weight\": 3698, \"source\": 3, \"target\": 4}, {\"weight\": 19349, \"source\": 3, \"target\": 5}, {\"weight\": 10047, \"source\": 3, \"target\": 8}, {\"weight\": 11049, \"source\": 3, \"target\": 6}, {\"weight\": 8136, \"source\": 4, \"target\": 7}, {\"weight\": 18860, \"source\": 4, \"target\": 5}, {\"weight\": 8797, \"source\": 4, \"target\": 8}, {\"weight\": 9097, \"source\": 4, \"target\": 6}, {\"weight\": 11702, \"source\": 5, \"target\": 7}, {\"weight\": 11300, \"source\": 5, \"target\": 8}, {\"weight\": 10642, \"source\": 5, \"target\": 6}, {\"weight\": 2098, \"source\": 6, \"target\": 7}, {\"weight\": 2735, \"source\": 6, \"target\": 8}, {\"weight\": 1858, \"source\": 7, \"target\": 8}]}",
"id": 2264,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PQI, CCV, LPS, ORH, VQS, SRG, BOJ, FKB, AGH\n- Travel distances (in kilometers) between each pair of airports:\nPQI to FKB: 6460\nPQI to VQS: 3298\nPQI to SRG: 17259\nPQI to ORH: 4096\nPQI to AGH: 7028\nPQI to BOJ: 8090\nPQI to LPS: 4711\nPQI to CCV: 14746\nCCV to FKB: 17170\nCCV to VQS: 15524\nCCV to SRG: 6934\nCCV to ORH: 15340\nCCV to AGH: 16357\nCCV to BOJ: 16636\nCCV to LPS: 10715\nLPS to FKB: 8522\nLPS to VQS: 6229\nLPS to SRG: 13792\nLPS to ORH: 6033\nLPS to AGH: 8603\nLPS to BOJ: 9927\nORH to FKB: 9422\nORH to VQS: 3698\nORH to SRG: 19349\nORH to AGH: 10047\nORH to BOJ: 11049\nVQS to FKB: 8136\nVQS to SRG: 18860\nVQS to AGH: 8797\nVQS to BOJ: 9097\nSRG to FKB: 11702\nSRG to AGH: 11300\nSRG to BOJ: 10642\nBOJ to FKB: 2098\nBOJ to AGH: 2735\nFKB to AGH: 1858\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: AAL, CCF, VEE, KCA, SLH, MXZ, BUS, OSW, ORY\n- Travel distances (in kilometers) between each pair of airports:\nAAL to VEE: 10474\nAAL to ORY: 1267\nAAL to BUS: 2905\nAAL to MXZ: 8942\nAAL to KCA: 5935\nAAL to CCF: 1632\nAAL to SLH: 16737\nAAL to OSW: 3279\nCCF to VEE: 11410\nCCF to ORY: 1684\nCCF to BUS: 3983\nCCF to MXZ: 10386\nCCF to KCA: 7244\nCCF to SLH: 18284\nCCF to OSW: 4556\nVEE to ORY: 10825\nVEE to BUS: 13285\nVEE to MXZ: 13162\nVEE to KCA: 14305\nVEE to SLH: 11717\nVEE to OSW: 13401\nKCA to ORY: 6647\nKCA to BUS: 4157\nKCA to MXZ: 4023\nKCA to SLH: 12057\nKCA to OSW: 5812\nSLH to ORY: 17709\nSLH to BUS: 15220\nSLH to MXZ: 8529\nSLH to OSW: 16769\nMXZ to ORY: 9789\nMXZ to BUS: 7302\nMXZ to OSW: 8880\nBUS to ORY: 3303\nBUS to OSW: 3009\nOSW to ORY: 3960\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 48855,
"style": "rule"
}
|
{
"exact_answer": 48855,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"AAL\", \"id\": 0}, {\"name\": \"CCF\", \"id\": 1}, {\"name\": \"VEE\", \"id\": 2}, {\"name\": \"KCA\", \"id\": 3}, {\"name\": \"SLH\", \"id\": 4}, {\"name\": \"MXZ\", \"id\": 5}, {\"name\": \"BUS\", \"id\": 6}, {\"name\": \"OSW\", \"id\": 7}, {\"name\": \"ORY\", \"id\": 8}], \"links\": [{\"weight\": 10474, \"source\": 0, \"target\": 2}, {\"weight\": 1267, \"source\": 0, \"target\": 8}, {\"weight\": 2905, \"source\": 0, \"target\": 6}, {\"weight\": 8942, \"source\": 0, \"target\": 5}, {\"weight\": 5935, \"source\": 0, \"target\": 3}, {\"weight\": 1632, \"source\": 0, \"target\": 1}, {\"weight\": 16737, \"source\": 0, \"target\": 4}, {\"weight\": 3279, \"source\": 0, \"target\": 7}, {\"weight\": 11410, \"source\": 1, \"target\": 2}, {\"weight\": 1684, \"source\": 1, \"target\": 8}, {\"weight\": 3983, \"source\": 1, \"target\": 6}, {\"weight\": 10386, \"source\": 1, \"target\": 5}, {\"weight\": 7244, \"source\": 1, \"target\": 3}, {\"weight\": 18284, \"source\": 1, \"target\": 4}, {\"weight\": 4556, \"source\": 1, \"target\": 7}, {\"weight\": 10825, \"source\": 2, \"target\": 8}, {\"weight\": 13285, \"source\": 2, \"target\": 6}, {\"weight\": 13162, \"source\": 2, \"target\": 5}, {\"weight\": 14305, \"source\": 2, \"target\": 3}, {\"weight\": 11717, \"source\": 2, \"target\": 4}, {\"weight\": 13401, \"source\": 2, \"target\": 7}, {\"weight\": 6647, \"source\": 3, \"target\": 8}, {\"weight\": 4157, \"source\": 3, \"target\": 6}, {\"weight\": 4023, \"source\": 3, \"target\": 5}, {\"weight\": 12057, \"source\": 3, \"target\": 4}, {\"weight\": 5812, \"source\": 3, \"target\": 7}, {\"weight\": 17709, \"source\": 4, \"target\": 8}, {\"weight\": 15220, \"source\": 4, \"target\": 6}, {\"weight\": 8529, \"source\": 4, \"target\": 5}, {\"weight\": 16769, \"source\": 4, \"target\": 7}, {\"weight\": 9789, \"source\": 5, \"target\": 8}, {\"weight\": 7302, \"source\": 5, \"target\": 6}, {\"weight\": 8880, \"source\": 5, \"target\": 7}, {\"weight\": 3303, \"source\": 6, \"target\": 8}, {\"weight\": 3009, \"source\": 6, \"target\": 7}, {\"weight\": 3960, \"source\": 7, \"target\": 8}]}",
"id": 2265,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: AAL, CCF, VEE, KCA, SLH, MXZ, BUS, OSW, ORY\n- Travel distances (in kilometers) between each pair of airports:\nAAL to VEE: 10474\nAAL to ORY: 1267\nAAL to BUS: 2905\nAAL to MXZ: 8942\nAAL to KCA: 5935\nAAL to CCF: 1632\nAAL to SLH: 16737\nAAL to OSW: 3279\nCCF to VEE: 11410\nCCF to ORY: 1684\nCCF to BUS: 3983\nCCF to MXZ: 10386\nCCF to KCA: 7244\nCCF to SLH: 18284\nCCF to OSW: 4556\nVEE to ORY: 10825\nVEE to BUS: 13285\nVEE to MXZ: 13162\nVEE to KCA: 14305\nVEE to SLH: 11717\nVEE to OSW: 13401\nKCA to ORY: 6647\nKCA to BUS: 4157\nKCA to MXZ: 4023\nKCA to SLH: 12057\nKCA to OSW: 5812\nSLH to ORY: 17709\nSLH to BUS: 15220\nSLH to MXZ: 8529\nSLH to OSW: 16769\nMXZ to ORY: 9789\nMXZ to BUS: 7302\nMXZ to OSW: 8880\nBUS to ORY: 3303\nBUS to OSW: 3009\nOSW to ORY: 3960\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ERC, BOH, PLW, DAT, VUP, CSK, YKM, VTZ, WMI\n- Travel distances (in kilometers) between each pair of airports:\nERC to DAT: 7563\nERC to VTZ: 6136\nERC to YKM: 11030\nERC to VUP: 12301\nERC to CSK: 6518\nERC to BOH: 3693\nERC to WMI: 2753\nERC to PLW: 10653\nBOH to DAT: 9001\nBOH to VTZ: 8691\nBOH to YKM: 8040\nBOH to VUP: 9776\nBOH to CSK: 4539\nBOH to WMI: 2217\nBOH to PLW: 13236\nPLW to DAT: 5085\nPLW to VTZ: 4708\nPLW to YKM: 13233\nPLW to VUP: 20310\nPLW to CSK: 15521\nPLW to WMI: 11812\nDAT to VTZ: 4198\nDAT to YKM: 9108\nDAT to VUP: 15832\nDAT to CSK: 12791\nDAT to WMI: 7596\nVUP to VTZ: 17206\nVUP to YKM: 7407\nVUP to CSK: 8869\nVUP to WMI: 10618\nCSK to VTZ: 10917\nCSK to YKM: 10444\nCSK to WMI: 5645\nYKM to VTZ: 13206\nYKM to WMI: 8750\nVTZ to WMI: 7249\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 50822,
"style": "rule"
}
|
{
"exact_answer": 50822,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"ERC\", \"id\": 0}, {\"name\": \"BOH\", \"id\": 1}, {\"name\": \"PLW\", \"id\": 2}, {\"name\": \"DAT\", \"id\": 3}, {\"name\": \"VUP\", \"id\": 4}, {\"name\": \"CSK\", \"id\": 5}, {\"name\": \"YKM\", \"id\": 6}, {\"name\": \"VTZ\", \"id\": 7}, {\"name\": \"WMI\", \"id\": 8}], \"links\": [{\"weight\": 7563, \"source\": 0, \"target\": 3}, {\"weight\": 6136, \"source\": 0, \"target\": 7}, {\"weight\": 11030, \"source\": 0, \"target\": 6}, {\"weight\": 12301, \"source\": 0, \"target\": 4}, {\"weight\": 6518, \"source\": 0, \"target\": 5}, {\"weight\": 3693, \"source\": 0, \"target\": 1}, {\"weight\": 2753, \"source\": 0, \"target\": 8}, {\"weight\": 10653, \"source\": 0, \"target\": 2}, {\"weight\": 9001, \"source\": 1, \"target\": 3}, {\"weight\": 8691, \"source\": 1, \"target\": 7}, {\"weight\": 8040, \"source\": 1, \"target\": 6}, {\"weight\": 9776, \"source\": 1, \"target\": 4}, {\"weight\": 4539, \"source\": 1, \"target\": 5}, {\"weight\": 2217, \"source\": 1, \"target\": 8}, {\"weight\": 13236, \"source\": 1, \"target\": 2}, {\"weight\": 5085, \"source\": 2, \"target\": 3}, {\"weight\": 4708, \"source\": 2, \"target\": 7}, {\"weight\": 13233, \"source\": 2, \"target\": 6}, {\"weight\": 20310, \"source\": 2, \"target\": 4}, {\"weight\": 15521, \"source\": 2, \"target\": 5}, {\"weight\": 11812, \"source\": 2, \"target\": 8}, {\"weight\": 4198, \"source\": 3, \"target\": 7}, {\"weight\": 9108, \"source\": 3, \"target\": 6}, {\"weight\": 15832, \"source\": 3, \"target\": 4}, {\"weight\": 12791, \"source\": 3, \"target\": 5}, {\"weight\": 7596, \"source\": 3, \"target\": 8}, {\"weight\": 17206, \"source\": 4, \"target\": 7}, {\"weight\": 7407, \"source\": 4, \"target\": 6}, {\"weight\": 8869, \"source\": 4, \"target\": 5}, {\"weight\": 10618, \"source\": 4, \"target\": 8}, {\"weight\": 10917, \"source\": 5, \"target\": 7}, {\"weight\": 10444, \"source\": 5, \"target\": 6}, {\"weight\": 5645, \"source\": 5, \"target\": 8}, {\"weight\": 13206, \"source\": 6, \"target\": 7}, {\"weight\": 8750, \"source\": 6, \"target\": 8}, {\"weight\": 7249, \"source\": 7, \"target\": 8}]}",
"id": 2266,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ERC, BOH, PLW, DAT, VUP, CSK, YKM, VTZ, WMI\n- Travel distances (in kilometers) between each pair of airports:\nERC to DAT: 7563\nERC to VTZ: 6136\nERC to YKM: 11030\nERC to VUP: 12301\nERC to CSK: 6518\nERC to BOH: 3693\nERC to WMI: 2753\nERC to PLW: 10653\nBOH to DAT: 9001\nBOH to VTZ: 8691\nBOH to YKM: 8040\nBOH to VUP: 9776\nBOH to CSK: 4539\nBOH to WMI: 2217\nBOH to PLW: 13236\nPLW to DAT: 5085\nPLW to VTZ: 4708\nPLW to YKM: 13233\nPLW to VUP: 20310\nPLW to CSK: 15521\nPLW to WMI: 11812\nDAT to VTZ: 4198\nDAT to YKM: 9108\nDAT to VUP: 15832\nDAT to CSK: 12791\nDAT to WMI: 7596\nVUP to VTZ: 17206\nVUP to YKM: 7407\nVUP to CSK: 8869\nVUP to WMI: 10618\nCSK to VTZ: 10917\nCSK to YKM: 10444\nCSK to WMI: 5645\nYKM to VTZ: 13206\nYKM to WMI: 8750\nVTZ to WMI: 7249\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: KTS, FDE, GNY, SOW, TER, KWT, DMM, INC, MIR\n- Travel distances (in kilometers) between each pair of airports:\nKTS to INC: 12898\nKTS to KWT: 707\nKTS to GNY: 14207\nKTS to DMM: 15760\nKTS to MIR: 12954\nKTS to SOW: 5275\nKTS to TER: 10775\nKTS to FDE: 10717\nFDE to INC: 7308\nFDE to KWT: 10410\nFDE to GNY: 3731\nFDE to DMM: 5285\nFDE to MIR: 2886\nFDE to SOW: 8123\nFDE to TER: 3854\nGNY to INC: 6793\nGNY to KWT: 13900\nGNY to DMM: 2949\nGNY to MIR: 2717\nGNY to SOW: 11613\nGNY to TER: 5678\nSOW to INC: 11594\nSOW to KWT: 4968\nSOW to DMM: 13166\nSOW to MIR: 10240\nSOW to TER: 7571\nTER to INC: 10554\nTER to KWT: 10468\nTER to DMM: 7123\nTER to MIR: 3394\nKWT to INC: 12591\nKWT to DMM: 15453\nKWT to MIR: 12647\nDMM to INC: 5605\nDMM to MIR: 3998\nINC to MIR: 8172\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 44155,
"style": "rule"
}
|
{
"exact_answer": 44155,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"KTS\", \"id\": 0}, {\"name\": \"FDE\", \"id\": 1}, {\"name\": \"GNY\", \"id\": 2}, {\"name\": \"SOW\", \"id\": 3}, {\"name\": \"TER\", \"id\": 4}, {\"name\": \"KWT\", \"id\": 5}, {\"name\": \"DMM\", \"id\": 6}, {\"name\": \"INC\", \"id\": 7}, {\"name\": \"MIR\", \"id\": 8}], \"links\": [{\"weight\": 12898, \"source\": 0, \"target\": 7}, {\"weight\": 707, \"source\": 0, \"target\": 5}, {\"weight\": 14207, \"source\": 0, \"target\": 2}, {\"weight\": 15760, \"source\": 0, \"target\": 6}, {\"weight\": 12954, \"source\": 0, \"target\": 8}, {\"weight\": 5275, \"source\": 0, \"target\": 3}, {\"weight\": 10775, \"source\": 0, \"target\": 4}, {\"weight\": 10717, \"source\": 0, \"target\": 1}, {\"weight\": 7308, \"source\": 1, \"target\": 7}, {\"weight\": 10410, \"source\": 1, \"target\": 5}, {\"weight\": 3731, \"source\": 1, \"target\": 2}, {\"weight\": 5285, \"source\": 1, \"target\": 6}, {\"weight\": 2886, \"source\": 1, \"target\": 8}, {\"weight\": 8123, \"source\": 1, \"target\": 3}, {\"weight\": 3854, \"source\": 1, \"target\": 4}, {\"weight\": 6793, \"source\": 2, \"target\": 7}, {\"weight\": 13900, \"source\": 2, \"target\": 5}, {\"weight\": 2949, \"source\": 2, \"target\": 6}, {\"weight\": 2717, \"source\": 2, \"target\": 8}, {\"weight\": 11613, \"source\": 2, \"target\": 3}, {\"weight\": 5678, \"source\": 2, \"target\": 4}, {\"weight\": 11594, \"source\": 3, \"target\": 7}, {\"weight\": 4968, \"source\": 3, \"target\": 5}, {\"weight\": 13166, \"source\": 3, \"target\": 6}, {\"weight\": 10240, \"source\": 3, \"target\": 8}, {\"weight\": 7571, \"source\": 3, \"target\": 4}, {\"weight\": 10554, \"source\": 4, \"target\": 7}, {\"weight\": 10468, \"source\": 4, \"target\": 5}, {\"weight\": 7123, \"source\": 4, \"target\": 6}, {\"weight\": 3394, \"source\": 4, \"target\": 8}, {\"weight\": 12591, \"source\": 5, \"target\": 7}, {\"weight\": 15453, \"source\": 5, \"target\": 6}, {\"weight\": 12647, \"source\": 5, \"target\": 8}, {\"weight\": 5605, \"source\": 6, \"target\": 7}, {\"weight\": 3998, \"source\": 6, \"target\": 8}, {\"weight\": 8172, \"source\": 7, \"target\": 8}]}",
"id": 2267,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: KTS, FDE, GNY, SOW, TER, KWT, DMM, INC, MIR\n- Travel distances (in kilometers) between each pair of airports:\nKTS to INC: 12898\nKTS to KWT: 707\nKTS to GNY: 14207\nKTS to DMM: 15760\nKTS to MIR: 12954\nKTS to SOW: 5275\nKTS to TER: 10775\nKTS to FDE: 10717\nFDE to INC: 7308\nFDE to KWT: 10410\nFDE to GNY: 3731\nFDE to DMM: 5285\nFDE to MIR: 2886\nFDE to SOW: 8123\nFDE to TER: 3854\nGNY to INC: 6793\nGNY to KWT: 13900\nGNY to DMM: 2949\nGNY to MIR: 2717\nGNY to SOW: 11613\nGNY to TER: 5678\nSOW to INC: 11594\nSOW to KWT: 4968\nSOW to DMM: 13166\nSOW to MIR: 10240\nSOW to TER: 7571\nTER to INC: 10554\nTER to KWT: 10468\nTER to DMM: 7123\nTER to MIR: 3394\nKWT to INC: 12591\nKWT to DMM: 15453\nKWT to MIR: 12647\nDMM to INC: 5605\nDMM to MIR: 3998\nINC to MIR: 8172\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: WVB, ELG, ALO, ADQ, EOH, CRW, BUW, KUO, HAH\n- Travel distances (in kilometers) between each pair of airports:\nWVB to ADQ: 18279\nWVB to CRW: 12872\nWVB to EOH: 12848\nWVB to ALO: 13742\nWVB to HAH: 3946\nWVB to ELG: 8323\nWVB to KUO: 10140\nWVB to BUW: 12281\nELG to ADQ: 12911\nELG to CRW: 8063\nELG to EOH: 9533\nELG to ALO: 8693\nELG to HAH: 8405\nELG to KUO: 4230\nELG to BUW: 13952\nALO to ADQ: 5349\nALO to CRW: 1044\nALO to EOH: 4906\nALO to HAH: 14867\nALO to KUO: 7962\nALO to BUW: 16266\nADQ to CRW: 5643\nADQ to EOH: 9289\nADQ to HAH: 18561\nADQ to KUO: 11320\nADQ to BUW: 16208\nEOH to CRW: 4044\nEOH to HAH: 15027\nEOH to KUO: 10824\nEOH to BUW: 20157\nCRW to HAH: 14124\nCRW to KUO: 7636\nCRW to BUW: 16478\nBUW to HAH: 9847\nBUW to KUO: 11689\nKUO to HAH: 8532\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 63815,
"style": "rule"
}
|
{
"exact_answer": 63815,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"WVB\", \"id\": 0}, {\"name\": \"ELG\", \"id\": 1}, {\"name\": \"ALO\", \"id\": 2}, {\"name\": \"ADQ\", \"id\": 3}, {\"name\": \"EOH\", \"id\": 4}, {\"name\": \"CRW\", \"id\": 5}, {\"name\": \"BUW\", \"id\": 6}, {\"name\": \"KUO\", \"id\": 7}, {\"name\": \"HAH\", \"id\": 8}], \"links\": [{\"weight\": 18279, \"source\": 0, \"target\": 3}, {\"weight\": 12872, \"source\": 0, \"target\": 5}, {\"weight\": 12848, \"source\": 0, \"target\": 4}, {\"weight\": 13742, \"source\": 0, \"target\": 2}, {\"weight\": 3946, \"source\": 0, \"target\": 8}, {\"weight\": 8323, \"source\": 0, \"target\": 1}, {\"weight\": 10140, \"source\": 0, \"target\": 7}, {\"weight\": 12281, \"source\": 0, \"target\": 6}, {\"weight\": 12911, \"source\": 1, \"target\": 3}, {\"weight\": 8063, \"source\": 1, \"target\": 5}, {\"weight\": 9533, \"source\": 1, \"target\": 4}, {\"weight\": 8693, \"source\": 1, \"target\": 2}, {\"weight\": 8405, \"source\": 1, \"target\": 8}, {\"weight\": 4230, \"source\": 1, \"target\": 7}, {\"weight\": 13952, \"source\": 1, \"target\": 6}, {\"weight\": 5349, \"source\": 2, \"target\": 3}, {\"weight\": 1044, \"source\": 2, \"target\": 5}, {\"weight\": 4906, \"source\": 2, \"target\": 4}, {\"weight\": 14867, \"source\": 2, \"target\": 8}, {\"weight\": 7962, \"source\": 2, \"target\": 7}, {\"weight\": 16266, \"source\": 2, \"target\": 6}, {\"weight\": 5643, \"source\": 3, \"target\": 5}, {\"weight\": 9289, \"source\": 3, \"target\": 4}, {\"weight\": 18561, \"source\": 3, \"target\": 8}, {\"weight\": 11320, \"source\": 3, \"target\": 7}, {\"weight\": 16208, \"source\": 3, \"target\": 6}, {\"weight\": 4044, \"source\": 4, \"target\": 5}, {\"weight\": 15027, \"source\": 4, \"target\": 8}, {\"weight\": 10824, \"source\": 4, \"target\": 7}, {\"weight\": 20157, \"source\": 4, \"target\": 6}, {\"weight\": 14124, \"source\": 5, \"target\": 8}, {\"weight\": 7636, \"source\": 5, \"target\": 7}, {\"weight\": 16478, \"source\": 5, \"target\": 6}, {\"weight\": 9847, \"source\": 6, \"target\": 8}, {\"weight\": 11689, \"source\": 6, \"target\": 7}, {\"weight\": 8532, \"source\": 7, \"target\": 8}]}",
"id": 2268,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: WVB, ELG, ALO, ADQ, EOH, CRW, BUW, KUO, HAH\n- Travel distances (in kilometers) between each pair of airports:\nWVB to ADQ: 18279\nWVB to CRW: 12872\nWVB to EOH: 12848\nWVB to ALO: 13742\nWVB to HAH: 3946\nWVB to ELG: 8323\nWVB to KUO: 10140\nWVB to BUW: 12281\nELG to ADQ: 12911\nELG to CRW: 8063\nELG to EOH: 9533\nELG to ALO: 8693\nELG to HAH: 8405\nELG to KUO: 4230\nELG to BUW: 13952\nALO to ADQ: 5349\nALO to CRW: 1044\nALO to EOH: 4906\nALO to HAH: 14867\nALO to KUO: 7962\nALO to BUW: 16266\nADQ to CRW: 5643\nADQ to EOH: 9289\nADQ to HAH: 18561\nADQ to KUO: 11320\nADQ to BUW: 16208\nEOH to CRW: 4044\nEOH to HAH: 15027\nEOH to KUO: 10824\nEOH to BUW: 20157\nCRW to HAH: 14124\nCRW to KUO: 7636\nCRW to BUW: 16478\nBUW to HAH: 9847\nBUW to KUO: 11689\nKUO to HAH: 8532\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CAJ, MXH, SVQ, NRL, RSA, KPB, WIC, HEL, LGG\n- Travel distances (in kilometers) between each pair of airports:\nCAJ to HEL: 9566\nCAJ to SVQ: 7577\nCAJ to LGG: 8899\nCAJ to RSA: 6791\nCAJ to WIC: 8331\nCAJ to MXH: 19444\nCAJ to KPB: 8547\nCAJ to NRL: 8432\nMXH to HEL: 13428\nMXH to SVQ: 16497\nMXH to LGG: 15487\nMXH to RSA: 16315\nMXH to WIC: 15174\nMXH to KPB: 14542\nMXH to NRL: 15275\nSVQ to HEL: 3342\nSVQ to LGG: 1794\nSVQ to RSA: 10297\nSVQ to WIC: 2361\nSVQ to KPB: 10487\nSVQ to NRL: 2468\nNRL to HEL: 1847\nNRL to LGG: 1981\nNRL to RSA: 12517\nNRL to WIC: 399\nNRL to KPB: 8818\nRSA to HEL: 13554\nRSA to LGG: 11981\nRSA to WIC: 12425\nRSA to KPB: 13040\nKPB to HEL: 9509\nKPB to LGG: 10085\nKPB to WIC: 8728\nWIC to HEL: 1746\nWIC to LGG: 1880\nHEL to LGG: 2392\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 59525,
"style": "rule"
}
|
{
"exact_answer": 59525,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"CAJ\", \"id\": 0}, {\"name\": \"MXH\", \"id\": 1}, {\"name\": \"SVQ\", \"id\": 2}, {\"name\": \"NRL\", \"id\": 3}, {\"name\": \"RSA\", \"id\": 4}, {\"name\": \"KPB\", \"id\": 5}, {\"name\": \"WIC\", \"id\": 6}, {\"name\": \"HEL\", \"id\": 7}, {\"name\": \"LGG\", \"id\": 8}], \"links\": [{\"weight\": 9566, \"source\": 0, \"target\": 7}, {\"weight\": 7577, \"source\": 0, \"target\": 2}, {\"weight\": 8899, \"source\": 0, \"target\": 8}, {\"weight\": 6791, \"source\": 0, \"target\": 4}, {\"weight\": 8331, \"source\": 0, \"target\": 6}, {\"weight\": 19444, \"source\": 0, \"target\": 1}, {\"weight\": 8547, \"source\": 0, \"target\": 5}, {\"weight\": 8432, \"source\": 0, \"target\": 3}, {\"weight\": 13428, \"source\": 1, \"target\": 7}, {\"weight\": 16497, \"source\": 1, \"target\": 2}, {\"weight\": 15487, \"source\": 1, \"target\": 8}, {\"weight\": 16315, \"source\": 1, \"target\": 4}, {\"weight\": 15174, \"source\": 1, \"target\": 6}, {\"weight\": 14542, \"source\": 1, \"target\": 5}, {\"weight\": 15275, \"source\": 1, \"target\": 3}, {\"weight\": 3342, \"source\": 2, \"target\": 7}, {\"weight\": 1794, \"source\": 2, \"target\": 8}, {\"weight\": 10297, \"source\": 2, \"target\": 4}, {\"weight\": 2361, \"source\": 2, \"target\": 6}, {\"weight\": 10487, \"source\": 2, \"target\": 5}, {\"weight\": 2468, \"source\": 2, \"target\": 3}, {\"weight\": 1847, \"source\": 3, \"target\": 7}, {\"weight\": 1981, \"source\": 3, \"target\": 8}, {\"weight\": 12517, \"source\": 3, \"target\": 4}, {\"weight\": 399, \"source\": 3, \"target\": 6}, {\"weight\": 8818, \"source\": 3, \"target\": 5}, {\"weight\": 13554, \"source\": 4, \"target\": 7}, {\"weight\": 11981, \"source\": 4, \"target\": 8}, {\"weight\": 12425, \"source\": 4, \"target\": 6}, {\"weight\": 13040, \"source\": 4, \"target\": 5}, {\"weight\": 9509, \"source\": 5, \"target\": 7}, {\"weight\": 10085, \"source\": 5, \"target\": 8}, {\"weight\": 8728, \"source\": 5, \"target\": 6}, {\"weight\": 1746, \"source\": 6, \"target\": 7}, {\"weight\": 1880, \"source\": 6, \"target\": 8}, {\"weight\": 2392, \"source\": 7, \"target\": 8}]}",
"id": 2269,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CAJ, MXH, SVQ, NRL, RSA, KPB, WIC, HEL, LGG\n- Travel distances (in kilometers) between each pair of airports:\nCAJ to HEL: 9566\nCAJ to SVQ: 7577\nCAJ to LGG: 8899\nCAJ to RSA: 6791\nCAJ to WIC: 8331\nCAJ to MXH: 19444\nCAJ to KPB: 8547\nCAJ to NRL: 8432\nMXH to HEL: 13428\nMXH to SVQ: 16497\nMXH to LGG: 15487\nMXH to RSA: 16315\nMXH to WIC: 15174\nMXH to KPB: 14542\nMXH to NRL: 15275\nSVQ to HEL: 3342\nSVQ to LGG: 1794\nSVQ to RSA: 10297\nSVQ to WIC: 2361\nSVQ to KPB: 10487\nSVQ to NRL: 2468\nNRL to HEL: 1847\nNRL to LGG: 1981\nNRL to RSA: 12517\nNRL to WIC: 399\nNRL to KPB: 8818\nRSA to HEL: 13554\nRSA to LGG: 11981\nRSA to WIC: 12425\nRSA to KPB: 13040\nKPB to HEL: 9509\nKPB to LGG: 10085\nKPB to WIC: 8728\nWIC to HEL: 1746\nWIC to LGG: 1880\nHEL to LGG: 2392\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: HAM, BHH, KKC, NUX, YQQ, PBI, KVK, LYR, BHO\n- Travel distances (in kilometers) between each pair of airports:\nHAM to NUX: 4098\nHAM to PBI: 7786\nHAM to YQQ: 8074\nHAM to BHO: 6678\nHAM to KVK: 3204\nHAM to LYR: 2745\nHAM to KKC: 9247\nHAM to BHH: 4744\nBHH to NUX: 5796\nBHH to PBI: 12265\nBHH to YQQ: 12700\nBHH to BHO: 4120\nBHH to KVK: 5574\nBHH to LYR: 7032\nBHH to KKC: 6828\nKKC to NUX: 6506\nKKC to PBI: 16079\nKKC to YQQ: 12302\nKKC to BHO: 3197\nKKC to KVK: 8807\nKKC to LYR: 10435\nNUX to PBI: 11453\nNUX to YQQ: 11448\nNUX to BHO: 4861\nNUX to KVK: 3727\nNUX to LYR: 5286\nYQQ to PBI: 4626\nYQQ to BHO: 13022\nYQQ to KVK: 10550\nYQQ to LYR: 9162\nPBI to BHO: 13998\nPBI to KVK: 10555\nPBI to LYR: 9167\nKVK to BHO: 6266\nKVK to LYR: 4397\nLYR to BHO: 7903\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 48265,
"style": "rule"
}
|
{
"exact_answer": 48265,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"HAM\", \"id\": 0}, {\"name\": \"BHH\", \"id\": 1}, {\"name\": \"KKC\", \"id\": 2}, {\"name\": \"NUX\", \"id\": 3}, {\"name\": \"YQQ\", \"id\": 4}, {\"name\": \"PBI\", \"id\": 5}, {\"name\": \"KVK\", \"id\": 6}, {\"name\": \"LYR\", \"id\": 7}, {\"name\": \"BHO\", \"id\": 8}], \"links\": [{\"weight\": 4098, \"source\": 0, \"target\": 3}, {\"weight\": 7786, \"source\": 0, \"target\": 5}, {\"weight\": 8074, \"source\": 0, \"target\": 4}, {\"weight\": 6678, \"source\": 0, \"target\": 8}, {\"weight\": 3204, \"source\": 0, \"target\": 6}, {\"weight\": 2745, \"source\": 0, \"target\": 7}, {\"weight\": 9247, \"source\": 0, \"target\": 2}, {\"weight\": 4744, \"source\": 0, \"target\": 1}, {\"weight\": 5796, \"source\": 1, \"target\": 3}, {\"weight\": 12265, \"source\": 1, \"target\": 5}, {\"weight\": 12700, \"source\": 1, \"target\": 4}, {\"weight\": 4120, \"source\": 1, \"target\": 8}, {\"weight\": 5574, \"source\": 1, \"target\": 6}, {\"weight\": 7032, \"source\": 1, \"target\": 7}, {\"weight\": 6828, \"source\": 1, \"target\": 2}, {\"weight\": 6506, \"source\": 2, \"target\": 3}, {\"weight\": 16079, \"source\": 2, \"target\": 5}, {\"weight\": 12302, \"source\": 2, \"target\": 4}, {\"weight\": 3197, \"source\": 2, \"target\": 8}, {\"weight\": 8807, \"source\": 2, \"target\": 6}, {\"weight\": 10435, \"source\": 2, \"target\": 7}, {\"weight\": 11453, \"source\": 3, \"target\": 5}, {\"weight\": 11448, \"source\": 3, \"target\": 4}, {\"weight\": 4861, \"source\": 3, \"target\": 8}, {\"weight\": 3727, \"source\": 3, \"target\": 6}, {\"weight\": 5286, \"source\": 3, \"target\": 7}, {\"weight\": 4626, \"source\": 4, \"target\": 5}, {\"weight\": 13022, \"source\": 4, \"target\": 8}, {\"weight\": 10550, \"source\": 4, \"target\": 6}, {\"weight\": 9162, \"source\": 4, \"target\": 7}, {\"weight\": 13998, \"source\": 5, \"target\": 8}, {\"weight\": 10555, \"source\": 5, \"target\": 6}, {\"weight\": 9167, \"source\": 5, \"target\": 7}, {\"weight\": 6266, \"source\": 6, \"target\": 8}, {\"weight\": 4397, \"source\": 6, \"target\": 7}, {\"weight\": 7903, \"source\": 7, \"target\": 8}]}",
"id": 2270,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: HAM, BHH, KKC, NUX, YQQ, PBI, KVK, LYR, BHO\n- Travel distances (in kilometers) between each pair of airports:\nHAM to NUX: 4098\nHAM to PBI: 7786\nHAM to YQQ: 8074\nHAM to BHO: 6678\nHAM to KVK: 3204\nHAM to LYR: 2745\nHAM to KKC: 9247\nHAM to BHH: 4744\nBHH to NUX: 5796\nBHH to PBI: 12265\nBHH to YQQ: 12700\nBHH to BHO: 4120\nBHH to KVK: 5574\nBHH to LYR: 7032\nBHH to KKC: 6828\nKKC to NUX: 6506\nKKC to PBI: 16079\nKKC to YQQ: 12302\nKKC to BHO: 3197\nKKC to KVK: 8807\nKKC to LYR: 10435\nNUX to PBI: 11453\nNUX to YQQ: 11448\nNUX to BHO: 4861\nNUX to KVK: 3727\nNUX to LYR: 5286\nYQQ to PBI: 4626\nYQQ to BHO: 13022\nYQQ to KVK: 10550\nYQQ to LYR: 9162\nPBI to BHO: 13998\nPBI to KVK: 10555\nPBI to LYR: 9167\nKVK to BHO: 6266\nKVK to LYR: 4397\nLYR to BHO: 7903\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, MSR, VIJ, GMZ, NEV, MSZ, SVP, TMS, PEM\n- Travel distances (in kilometers) between each pair of airports:\nACU to PEM: 4123\nACU to NEV: 3289\nACU to VIJ: 3069\nACU to MSZ: 13411\nACU to SVP: 13256\nACU to TMS: 12504\nACU to GMZ: 8319\nACU to MSR: 13021\nMSR to PEM: 14132\nMSR to NEV: 10180\nMSR to VIJ: 10330\nMSR to MSZ: 7664\nMSR to SVP: 7509\nMSR to TMS: 8198\nMSR to GMZ: 5523\nVIJ to PEM: 4654\nVIJ to NEV: 339\nVIJ to MSZ: 12331\nVIJ to SVP: 12176\nVIJ to TMS: 10451\nVIJ to GMZ: 6761\nGMZ to PEM: 9329\nGMZ to NEV: 6981\nGMZ to MSZ: 6811\nGMZ to SVP: 6656\nGMZ to TMS: 5570\nNEV to PEM: 4766\nNEV to MSZ: 12001\nNEV to SVP: 11846\nNEV to TMS: 10121\nMSZ to PEM: 10477\nMSZ to SVP: 1287\nMSZ to TMS: 1976\nSVP to PEM: 10322\nSVP to TMS: 1821\nTMS to PEM: 11011\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 41818,
"style": "rule"
}
|
{
"exact_answer": 41818,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"ACU\", \"id\": 0}, {\"name\": \"MSR\", \"id\": 1}, {\"name\": \"VIJ\", \"id\": 2}, {\"name\": \"GMZ\", \"id\": 3}, {\"name\": \"NEV\", \"id\": 4}, {\"name\": \"MSZ\", \"id\": 5}, {\"name\": \"SVP\", \"id\": 6}, {\"name\": \"TMS\", \"id\": 7}, {\"name\": \"PEM\", \"id\": 8}], \"links\": [{\"weight\": 4123, \"source\": 0, \"target\": 8}, {\"weight\": 3289, \"source\": 0, \"target\": 4}, {\"weight\": 3069, \"source\": 0, \"target\": 2}, {\"weight\": 13411, \"source\": 0, \"target\": 5}, {\"weight\": 13256, \"source\": 0, \"target\": 6}, {\"weight\": 12504, \"source\": 0, \"target\": 7}, {\"weight\": 8319, \"source\": 0, \"target\": 3}, {\"weight\": 13021, \"source\": 0, \"target\": 1}, {\"weight\": 14132, \"source\": 1, \"target\": 8}, {\"weight\": 10180, \"source\": 1, \"target\": 4}, {\"weight\": 10330, \"source\": 1, \"target\": 2}, {\"weight\": 7664, \"source\": 1, \"target\": 5}, {\"weight\": 7509, \"source\": 1, \"target\": 6}, {\"weight\": 8198, \"source\": 1, \"target\": 7}, {\"weight\": 5523, \"source\": 1, \"target\": 3}, {\"weight\": 4654, \"source\": 2, \"target\": 8}, {\"weight\": 339, \"source\": 2, \"target\": 4}, {\"weight\": 12331, \"source\": 2, \"target\": 5}, {\"weight\": 12176, \"source\": 2, \"target\": 6}, {\"weight\": 10451, \"source\": 2, \"target\": 7}, {\"weight\": 6761, \"source\": 2, \"target\": 3}, {\"weight\": 9329, \"source\": 3, \"target\": 8}, {\"weight\": 6981, \"source\": 3, \"target\": 4}, {\"weight\": 6811, \"source\": 3, \"target\": 5}, {\"weight\": 6656, \"source\": 3, \"target\": 6}, {\"weight\": 5570, \"source\": 3, \"target\": 7}, {\"weight\": 4766, \"source\": 4, \"target\": 8}, {\"weight\": 12001, \"source\": 4, \"target\": 5}, {\"weight\": 11846, \"source\": 4, \"target\": 6}, {\"weight\": 10121, \"source\": 4, \"target\": 7}, {\"weight\": 10477, \"source\": 5, \"target\": 8}, {\"weight\": 1287, \"source\": 5, \"target\": 6}, {\"weight\": 1976, \"source\": 5, \"target\": 7}, {\"weight\": 10322, \"source\": 6, \"target\": 8}, {\"weight\": 1821, \"source\": 6, \"target\": 7}, {\"weight\": 11011, \"source\": 7, \"target\": 8}]}",
"id": 2271,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, MSR, VIJ, GMZ, NEV, MSZ, SVP, TMS, PEM\n- Travel distances (in kilometers) between each pair of airports:\nACU to PEM: 4123\nACU to NEV: 3289\nACU to VIJ: 3069\nACU to MSZ: 13411\nACU to SVP: 13256\nACU to TMS: 12504\nACU to GMZ: 8319\nACU to MSR: 13021\nMSR to PEM: 14132\nMSR to NEV: 10180\nMSR to VIJ: 10330\nMSR to MSZ: 7664\nMSR to SVP: 7509\nMSR to TMS: 8198\nMSR to GMZ: 5523\nVIJ to PEM: 4654\nVIJ to NEV: 339\nVIJ to MSZ: 12331\nVIJ to SVP: 12176\nVIJ to TMS: 10451\nVIJ to GMZ: 6761\nGMZ to PEM: 9329\nGMZ to NEV: 6981\nGMZ to MSZ: 6811\nGMZ to SVP: 6656\nGMZ to TMS: 5570\nNEV to PEM: 4766\nNEV to MSZ: 12001\nNEV to SVP: 11846\nNEV to TMS: 10121\nMSZ to PEM: 10477\nMSZ to SVP: 1287\nMSZ to TMS: 1976\nSVP to PEM: 10322\nSVP to TMS: 1821\nTMS to PEM: 11011\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, CCV, UYU, YTY, IIL, OSL, KDM, YPM, COQ\n- Travel distances (in kilometers) between each pair of airports:\nDZN to OSL: 5541\nDZN to YTY: 4782\nDZN to COQ: 4222\nDZN to IIL: 3849\nDZN to CCV: 12899\nDZN to KDM: 5711\nDZN to YPM: 12809\nDZN to UYU: 17205\nCCV to OSL: 16261\nCCV to YTY: 8841\nCCV to COQ: 10250\nCCV to IIL: 14782\nCCV to KDM: 11601\nCCV to YPM: 12811\nCCV to UYU: 14440\nUYU to OSL: 12348\nUYU to YTY: 18714\nUYU to COQ: 18571\nUYU to IIL: 15196\nUYU to KDM: 18248\nUYU to YPM: 8695\nYTY to OSL: 7952\nYTY to COQ: 2199\nYTY to IIL: 6843\nYTY to KDM: 6179\nYTY to YPM: 11594\nIIL to OSL: 4897\nIIL to COQ: 5940\nIIL to KDM: 5185\nIIL to YPM: 12169\nOSL to COQ: 6686\nOSL to KDM: 8575\nOSL to YPM: 7368\nKDM to COQ: 7606\nKDM to YPM: 15887\nYPM to COQ: 11782\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 61558,
"style": "rule"
}
|
{
"exact_answer": 61558,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"DZN\", \"id\": 0}, {\"name\": \"CCV\", \"id\": 1}, {\"name\": \"UYU\", \"id\": 2}, {\"name\": \"YTY\", \"id\": 3}, {\"name\": \"IIL\", \"id\": 4}, {\"name\": \"OSL\", \"id\": 5}, {\"name\": \"KDM\", \"id\": 6}, {\"name\": \"YPM\", \"id\": 7}, {\"name\": \"COQ\", \"id\": 8}], \"links\": [{\"weight\": 5541, \"source\": 0, \"target\": 5}, {\"weight\": 4782, \"source\": 0, \"target\": 3}, {\"weight\": 4222, \"source\": 0, \"target\": 8}, {\"weight\": 3849, \"source\": 0, \"target\": 4}, {\"weight\": 12899, \"source\": 0, \"target\": 1}, {\"weight\": 5711, \"source\": 0, \"target\": 6}, {\"weight\": 12809, \"source\": 0, \"target\": 7}, {\"weight\": 17205, \"source\": 0, \"target\": 2}, {\"weight\": 16261, \"source\": 1, \"target\": 5}, {\"weight\": 8841, \"source\": 1, \"target\": 3}, {\"weight\": 10250, \"source\": 1, \"target\": 8}, {\"weight\": 14782, \"source\": 1, \"target\": 4}, {\"weight\": 11601, \"source\": 1, \"target\": 6}, {\"weight\": 12811, \"source\": 1, \"target\": 7}, {\"weight\": 14440, \"source\": 1, \"target\": 2}, {\"weight\": 12348, \"source\": 2, \"target\": 5}, {\"weight\": 18714, \"source\": 2, \"target\": 3}, {\"weight\": 18571, \"source\": 2, \"target\": 8}, {\"weight\": 15196, \"source\": 2, \"target\": 4}, {\"weight\": 18248, \"source\": 2, \"target\": 6}, {\"weight\": 8695, \"source\": 2, \"target\": 7}, {\"weight\": 7952, \"source\": 3, \"target\": 5}, {\"weight\": 2199, \"source\": 3, \"target\": 8}, {\"weight\": 6843, \"source\": 3, \"target\": 4}, {\"weight\": 6179, \"source\": 3, \"target\": 6}, {\"weight\": 11594, \"source\": 3, \"target\": 7}, {\"weight\": 4897, \"source\": 4, \"target\": 5}, {\"weight\": 5940, \"source\": 4, \"target\": 8}, {\"weight\": 5185, \"source\": 4, \"target\": 6}, {\"weight\": 12169, \"source\": 4, \"target\": 7}, {\"weight\": 6686, \"source\": 5, \"target\": 8}, {\"weight\": 8575, \"source\": 5, \"target\": 6}, {\"weight\": 7368, \"source\": 5, \"target\": 7}, {\"weight\": 7606, \"source\": 6, \"target\": 8}, {\"weight\": 15887, \"source\": 6, \"target\": 7}, {\"weight\": 11782, \"source\": 7, \"target\": 8}]}",
"id": 2272,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, CCV, UYU, YTY, IIL, OSL, KDM, YPM, COQ\n- Travel distances (in kilometers) between each pair of airports:\nDZN to OSL: 5541\nDZN to YTY: 4782\nDZN to COQ: 4222\nDZN to IIL: 3849\nDZN to CCV: 12899\nDZN to KDM: 5711\nDZN to YPM: 12809\nDZN to UYU: 17205\nCCV to OSL: 16261\nCCV to YTY: 8841\nCCV to COQ: 10250\nCCV to IIL: 14782\nCCV to KDM: 11601\nCCV to YPM: 12811\nCCV to UYU: 14440\nUYU to OSL: 12348\nUYU to YTY: 18714\nUYU to COQ: 18571\nUYU to IIL: 15196\nUYU to KDM: 18248\nUYU to YPM: 8695\nYTY to OSL: 7952\nYTY to COQ: 2199\nYTY to IIL: 6843\nYTY to KDM: 6179\nYTY to YPM: 11594\nIIL to OSL: 4897\nIIL to COQ: 5940\nIIL to KDM: 5185\nIIL to YPM: 12169\nOSL to COQ: 6686\nOSL to KDM: 8575\nOSL to YPM: 7368\nKDM to COQ: 7606\nKDM to YPM: 15887\nYPM to COQ: 11782\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: UKS, WHK, EDR, MTV, LPM, QUB, PED, DAB, KCQ\n- Travel distances (in kilometers) between each pair of airports:\nUKS to DAB: 9732\nUKS to KCQ: 12990\nUKS to QUB: 3942\nUKS to LPM: 16206\nUKS to MTV: 16538\nUKS to WHK: 17689\nUKS to EDR: 14369\nUKS to PED: 2830\nWHK to DAB: 14413\nWHK to KCQ: 12536\nWHK to QUB: 19239\nWHK to LPM: 2599\nWHK to MTV: 2931\nWHK to EDR: 4327\nWHK to PED: 18065\nEDR to DAB: 17013\nEDR to KCQ: 14673\nEDR to QUB: 16193\nEDR to LPM: 3927\nEDR to MTV: 4061\nEDR to PED: 14771\nMTV to DAB: 14051\nMTV to KCQ: 11787\nMTV to QUB: 18595\nMTV to LPM: 337\nMTV to PED: 16940\nLPM to DAB: 13719\nLPM to KCQ: 11455\nLPM to QUB: 18263\nLPM to PED: 16608\nQUB to DAB: 9702\nQUB to KCQ: 13831\nQUB to PED: 5371\nPED to DAB: 9849\nPED to KCQ: 13064\nDAB to KCQ: 6851\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 57146,
"style": "rule"
}
|
{
"exact_answer": 57146,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"UKS\", \"id\": 0}, {\"name\": \"WHK\", \"id\": 1}, {\"name\": \"EDR\", \"id\": 2}, {\"name\": \"MTV\", \"id\": 3}, {\"name\": \"LPM\", \"id\": 4}, {\"name\": \"QUB\", \"id\": 5}, {\"name\": \"PED\", \"id\": 6}, {\"name\": \"DAB\", \"id\": 7}, {\"name\": \"KCQ\", \"id\": 8}], \"links\": [{\"weight\": 9732, \"source\": 0, \"target\": 7}, {\"weight\": 12990, \"source\": 0, \"target\": 8}, {\"weight\": 3942, \"source\": 0, \"target\": 5}, {\"weight\": 16206, \"source\": 0, \"target\": 4}, {\"weight\": 16538, \"source\": 0, \"target\": 3}, {\"weight\": 17689, \"source\": 0, \"target\": 1}, {\"weight\": 14369, \"source\": 0, \"target\": 2}, {\"weight\": 2830, \"source\": 0, \"target\": 6}, {\"weight\": 14413, \"source\": 1, \"target\": 7}, {\"weight\": 12536, \"source\": 1, \"target\": 8}, {\"weight\": 19239, \"source\": 1, \"target\": 5}, {\"weight\": 2599, \"source\": 1, \"target\": 4}, {\"weight\": 2931, \"source\": 1, \"target\": 3}, {\"weight\": 4327, \"source\": 1, \"target\": 2}, {\"weight\": 18065, \"source\": 1, \"target\": 6}, {\"weight\": 17013, \"source\": 2, \"target\": 7}, {\"weight\": 14673, \"source\": 2, \"target\": 8}, {\"weight\": 16193, \"source\": 2, \"target\": 5}, {\"weight\": 3927, \"source\": 2, \"target\": 4}, {\"weight\": 4061, \"source\": 2, \"target\": 3}, {\"weight\": 14771, \"source\": 2, \"target\": 6}, {\"weight\": 14051, \"source\": 3, \"target\": 7}, {\"weight\": 11787, \"source\": 3, \"target\": 8}, {\"weight\": 18595, \"source\": 3, \"target\": 5}, {\"weight\": 337, \"source\": 3, \"target\": 4}, {\"weight\": 16940, \"source\": 3, \"target\": 6}, {\"weight\": 13719, \"source\": 4, \"target\": 7}, {\"weight\": 11455, \"source\": 4, \"target\": 8}, {\"weight\": 18263, \"source\": 4, \"target\": 5}, {\"weight\": 16608, \"source\": 4, \"target\": 6}, {\"weight\": 9702, \"source\": 5, \"target\": 7}, {\"weight\": 13831, \"source\": 5, \"target\": 8}, {\"weight\": 5371, \"source\": 5, \"target\": 6}, {\"weight\": 9849, \"source\": 6, \"target\": 7}, {\"weight\": 13064, \"source\": 6, \"target\": 8}, {\"weight\": 6851, \"source\": 7, \"target\": 8}]}",
"id": 2273,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: UKS, WHK, EDR, MTV, LPM, QUB, PED, DAB, KCQ\n- Travel distances (in kilometers) between each pair of airports:\nUKS to DAB: 9732\nUKS to KCQ: 12990\nUKS to QUB: 3942\nUKS to LPM: 16206\nUKS to MTV: 16538\nUKS to WHK: 17689\nUKS to EDR: 14369\nUKS to PED: 2830\nWHK to DAB: 14413\nWHK to KCQ: 12536\nWHK to QUB: 19239\nWHK to LPM: 2599\nWHK to MTV: 2931\nWHK to EDR: 4327\nWHK to PED: 18065\nEDR to DAB: 17013\nEDR to KCQ: 14673\nEDR to QUB: 16193\nEDR to LPM: 3927\nEDR to MTV: 4061\nEDR to PED: 14771\nMTV to DAB: 14051\nMTV to KCQ: 11787\nMTV to QUB: 18595\nMTV to LPM: 337\nMTV to PED: 16940\nLPM to DAB: 13719\nLPM to KCQ: 11455\nLPM to QUB: 18263\nLPM to PED: 16608\nQUB to DAB: 9702\nQUB to KCQ: 13831\nQUB to PED: 5371\nPED to DAB: 9849\nPED to KCQ: 13064\nDAB to KCQ: 6851\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, BXR, LOD, BLV, ITH, WMX, NAG, FKL, PLQ\n- Travel distances (in kilometers) between each pair of airports:\nMUC to NAG: 6752\nMUC to ITH: 6778\nMUC to PLQ: 1337\nMUC to BXR: 4610\nMUC to BLV: 9264\nMUC to WMX: 14432\nMUC to LOD: 17040\nMUC to FKL: 7114\nBXR to NAG: 4465\nBXR to ITH: 11387\nBXR to PLQ: 4760\nBXR to BLV: 13850\nBXR to WMX: 12145\nBXR to LOD: 15374\nBXR to FKL: 11713\nLOD to NAG: 11493\nLOD to ITH: 13870\nLOD to PLQ: 16183\nLOD to BLV: 15081\nLOD to WMX: 9618\nLOD to FKL: 13587\nBLV to NAG: 15439\nBLV to ITH: 3003\nBLV to PLQ: 9505\nBLV to WMX: 21038\nBLV to FKL: 2920\nITH to NAG: 12892\nITH to PLQ: 6958\nITH to WMX: 18809\nITH to FKL: 885\nWMX to NAG: 7976\nWMX to PLQ: 13857\nWMX to FKL: 18560\nNAG to PLQ: 6243\nNAG to FKL: 12993\nFKL to PLQ: 7176\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 53820,
"style": "rule"
}
|
{
"exact_answer": 53820,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"MUC\", \"id\": 0}, {\"name\": \"BXR\", \"id\": 1}, {\"name\": \"LOD\", \"id\": 2}, {\"name\": \"BLV\", \"id\": 3}, {\"name\": \"ITH\", \"id\": 4}, {\"name\": \"WMX\", \"id\": 5}, {\"name\": \"NAG\", \"id\": 6}, {\"name\": \"FKL\", \"id\": 7}, {\"name\": \"PLQ\", \"id\": 8}], \"links\": [{\"weight\": 6752, \"source\": 0, \"target\": 6}, {\"weight\": 6778, \"source\": 0, \"target\": 4}, {\"weight\": 1337, \"source\": 0, \"target\": 8}, {\"weight\": 4610, \"source\": 0, \"target\": 1}, {\"weight\": 9264, \"source\": 0, \"target\": 3}, {\"weight\": 14432, \"source\": 0, \"target\": 5}, {\"weight\": 17040, \"source\": 0, \"target\": 2}, {\"weight\": 7114, \"source\": 0, \"target\": 7}, {\"weight\": 4465, \"source\": 1, \"target\": 6}, {\"weight\": 11387, \"source\": 1, \"target\": 4}, {\"weight\": 4760, \"source\": 1, \"target\": 8}, {\"weight\": 13850, \"source\": 1, \"target\": 3}, {\"weight\": 12145, \"source\": 1, \"target\": 5}, {\"weight\": 15374, \"source\": 1, \"target\": 2}, {\"weight\": 11713, \"source\": 1, \"target\": 7}, {\"weight\": 11493, \"source\": 2, \"target\": 6}, {\"weight\": 13870, \"source\": 2, \"target\": 4}, {\"weight\": 16183, \"source\": 2, \"target\": 8}, {\"weight\": 15081, \"source\": 2, \"target\": 3}, {\"weight\": 9618, \"source\": 2, \"target\": 5}, {\"weight\": 13587, \"source\": 2, \"target\": 7}, {\"weight\": 15439, \"source\": 3, \"target\": 6}, {\"weight\": 3003, \"source\": 3, \"target\": 4}, {\"weight\": 9505, \"source\": 3, \"target\": 8}, {\"weight\": 21038, \"source\": 3, \"target\": 5}, {\"weight\": 2920, \"source\": 3, \"target\": 7}, {\"weight\": 12892, \"source\": 4, \"target\": 6}, {\"weight\": 6958, \"source\": 4, \"target\": 8}, {\"weight\": 18809, \"source\": 4, \"target\": 5}, {\"weight\": 885, \"source\": 4, \"target\": 7}, {\"weight\": 7976, \"source\": 5, \"target\": 6}, {\"weight\": 13857, \"source\": 5, \"target\": 8}, {\"weight\": 18560, \"source\": 5, \"target\": 7}, {\"weight\": 6243, \"source\": 6, \"target\": 8}, {\"weight\": 12993, \"source\": 6, \"target\": 7}, {\"weight\": 7176, \"source\": 7, \"target\": 8}]}",
"id": 2274,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, BXR, LOD, BLV, ITH, WMX, NAG, FKL, PLQ\n- Travel distances (in kilometers) between each pair of airports:\nMUC to NAG: 6752\nMUC to ITH: 6778\nMUC to PLQ: 1337\nMUC to BXR: 4610\nMUC to BLV: 9264\nMUC to WMX: 14432\nMUC to LOD: 17040\nMUC to FKL: 7114\nBXR to NAG: 4465\nBXR to ITH: 11387\nBXR to PLQ: 4760\nBXR to BLV: 13850\nBXR to WMX: 12145\nBXR to LOD: 15374\nBXR to FKL: 11713\nLOD to NAG: 11493\nLOD to ITH: 13870\nLOD to PLQ: 16183\nLOD to BLV: 15081\nLOD to WMX: 9618\nLOD to FKL: 13587\nBLV to NAG: 15439\nBLV to ITH: 3003\nBLV to PLQ: 9505\nBLV to WMX: 21038\nBLV to FKL: 2920\nITH to NAG: 12892\nITH to PLQ: 6958\nITH to WMX: 18809\nITH to FKL: 885\nWMX to NAG: 7976\nWMX to PLQ: 13857\nWMX to FKL: 18560\nNAG to PLQ: 6243\nNAG to FKL: 12993\nFKL to PLQ: 7176\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, PAV, KWA, WTK, NLA, DMM, HAU, SDD, PBU\n- Travel distances (in kilometers) between each pair of airports:\nVDS to WTK: 11917\nVDS to DMM: 6030\nVDS to PAV: 11059\nVDS to NLA: 10100\nVDS to SDD: 9784\nVDS to HAU: 1743\nVDS to KWA: 14791\nVDS to PBU: 10261\nPAV to WTK: 14059\nPAV to DMM: 12185\nPAV to NLA: 9870\nPAV to SDD: 8481\nPAV to HAU: 9399\nPAV to KWA: 18565\nPAV to PBU: 17869\nKWA to WTK: 9528\nKWA to DMM: 12636\nKWA to NLA: 16352\nKWA to SDD: 18195\nKWA to HAU: 14147\nKWA to PBU: 8785\nWTK to DMM: 15748\nWTK to NLA: 18659\nWTK to SDD: 17872\nWTK to HAU: 10685\nWTK to PBU: 15488\nNLA to DMM: 4951\nNLA to SDD: 2595\nNLA to HAU: 8933\nNLA to PBU: 9960\nDMM to SDD: 6396\nDMM to HAU: 5128\nDMM to PBU: 6068\nHAU to SDD: 8306\nHAU to PBU: 9792\nSDD to PBU: 11803\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 63467,
"style": "rule"
}
|
{
"exact_answer": 63467,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"VDS\", \"id\": 0}, {\"name\": \"PAV\", \"id\": 1}, {\"name\": \"KWA\", \"id\": 2}, {\"name\": \"WTK\", \"id\": 3}, {\"name\": \"NLA\", \"id\": 4}, {\"name\": \"DMM\", \"id\": 5}, {\"name\": \"HAU\", \"id\": 6}, {\"name\": \"SDD\", \"id\": 7}, {\"name\": \"PBU\", \"id\": 8}], \"links\": [{\"weight\": 11917, \"source\": 0, \"target\": 3}, {\"weight\": 6030, \"source\": 0, \"target\": 5}, {\"weight\": 11059, \"source\": 0, \"target\": 1}, {\"weight\": 10100, \"source\": 0, \"target\": 4}, {\"weight\": 9784, \"source\": 0, \"target\": 7}, {\"weight\": 1743, \"source\": 0, \"target\": 6}, {\"weight\": 14791, \"source\": 0, \"target\": 2}, {\"weight\": 10261, \"source\": 0, \"target\": 8}, {\"weight\": 14059, \"source\": 1, \"target\": 3}, {\"weight\": 12185, \"source\": 1, \"target\": 5}, {\"weight\": 9870, \"source\": 1, \"target\": 4}, {\"weight\": 8481, \"source\": 1, \"target\": 7}, {\"weight\": 9399, \"source\": 1, \"target\": 6}, {\"weight\": 18565, \"source\": 1, \"target\": 2}, {\"weight\": 17869, \"source\": 1, \"target\": 8}, {\"weight\": 9528, \"source\": 2, \"target\": 3}, {\"weight\": 12636, \"source\": 2, \"target\": 5}, {\"weight\": 16352, \"source\": 2, \"target\": 4}, {\"weight\": 18195, \"source\": 2, \"target\": 7}, {\"weight\": 14147, \"source\": 2, \"target\": 6}, {\"weight\": 8785, \"source\": 2, \"target\": 8}, {\"weight\": 15748, \"source\": 3, \"target\": 5}, {\"weight\": 18659, \"source\": 3, \"target\": 4}, {\"weight\": 17872, \"source\": 3, \"target\": 7}, {\"weight\": 10685, \"source\": 3, \"target\": 6}, {\"weight\": 15488, \"source\": 3, \"target\": 8}, {\"weight\": 4951, \"source\": 4, \"target\": 5}, {\"weight\": 2595, \"source\": 4, \"target\": 7}, {\"weight\": 8933, \"source\": 4, \"target\": 6}, {\"weight\": 9960, \"source\": 4, \"target\": 8}, {\"weight\": 6396, \"source\": 5, \"target\": 7}, {\"weight\": 5128, \"source\": 5, \"target\": 6}, {\"weight\": 6068, \"source\": 5, \"target\": 8}, {\"weight\": 8306, \"source\": 6, \"target\": 7}, {\"weight\": 9792, \"source\": 6, \"target\": 8}, {\"weight\": 11803, \"source\": 7, \"target\": 8}]}",
"id": 2275,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, PAV, KWA, WTK, NLA, DMM, HAU, SDD, PBU\n- Travel distances (in kilometers) between each pair of airports:\nVDS to WTK: 11917\nVDS to DMM: 6030\nVDS to PAV: 11059\nVDS to NLA: 10100\nVDS to SDD: 9784\nVDS to HAU: 1743\nVDS to KWA: 14791\nVDS to PBU: 10261\nPAV to WTK: 14059\nPAV to DMM: 12185\nPAV to NLA: 9870\nPAV to SDD: 8481\nPAV to HAU: 9399\nPAV to KWA: 18565\nPAV to PBU: 17869\nKWA to WTK: 9528\nKWA to DMM: 12636\nKWA to NLA: 16352\nKWA to SDD: 18195\nKWA to HAU: 14147\nKWA to PBU: 8785\nWTK to DMM: 15748\nWTK to NLA: 18659\nWTK to SDD: 17872\nWTK to HAU: 10685\nWTK to PBU: 15488\nNLA to DMM: 4951\nNLA to SDD: 2595\nNLA to HAU: 8933\nNLA to PBU: 9960\nDMM to SDD: 6396\nDMM to HAU: 5128\nDMM to PBU: 6068\nHAU to SDD: 8306\nHAU to PBU: 9792\nSDD to PBU: 11803\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BFQ, GTF, ABT, SGU, GRQ, YBL, BTK, RAI, SXR\n- Travel distances (in kilometers) between each pair of airports:\nBFQ to BTK: 15483\nBFQ to SXR: 15974\nBFQ to YBL: 6583\nBFQ to GTF: 5629\nBFQ to RAI: 8856\nBFQ to SGU: 5460\nBFQ to GRQ: 10279\nBFQ to ABT: 14052\nGTF to BTK: 11632\nGTF to SXR: 13949\nGTF to YBL: 1197\nGTF to RAI: 8676\nGTF to SGU: 1179\nGTF to GRQ: 8494\nGTF to ABT: 12903\nABT to BTK: 6627\nABT to SXR: 3852\nABT to YBL: 12631\nABT to RAI: 7281\nABT to SGU: 13312\nABT to GRQ: 4913\nSGU to BTK: 12339\nSGU to SXR: 14090\nSGU to YBL: 1887\nSGU to RAI: 9099\nSGU to GRQ: 8959\nGRQ to BTK: 6202\nGRQ to SXR: 6505\nGRQ to YBL: 8281\nGRQ to RAI: 4999\nYBL to BTK: 10796\nYBL to SXR: 13113\nYBL to RAI: 9647\nBTK to SXR: 4438\nBTK to RAI: 10680\nRAI to SXR: 10356\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 45690,
"style": "rule"
}
|
{
"exact_answer": 45690,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"BFQ\", \"id\": 0}, {\"name\": \"GTF\", \"id\": 1}, {\"name\": \"ABT\", \"id\": 2}, {\"name\": \"SGU\", \"id\": 3}, {\"name\": \"GRQ\", \"id\": 4}, {\"name\": \"YBL\", \"id\": 5}, {\"name\": \"BTK\", \"id\": 6}, {\"name\": \"RAI\", \"id\": 7}, {\"name\": \"SXR\", \"id\": 8}], \"links\": [{\"weight\": 15483, \"source\": 0, \"target\": 6}, {\"weight\": 15974, \"source\": 0, \"target\": 8}, {\"weight\": 6583, \"source\": 0, \"target\": 5}, {\"weight\": 5629, \"source\": 0, \"target\": 1}, {\"weight\": 8856, \"source\": 0, \"target\": 7}, {\"weight\": 5460, \"source\": 0, \"target\": 3}, {\"weight\": 10279, \"source\": 0, \"target\": 4}, {\"weight\": 14052, \"source\": 0, \"target\": 2}, {\"weight\": 11632, \"source\": 1, \"target\": 6}, {\"weight\": 13949, \"source\": 1, \"target\": 8}, {\"weight\": 1197, \"source\": 1, \"target\": 5}, {\"weight\": 8676, \"source\": 1, \"target\": 7}, {\"weight\": 1179, \"source\": 1, \"target\": 3}, {\"weight\": 8494, \"source\": 1, \"target\": 4}, {\"weight\": 12903, \"source\": 1, \"target\": 2}, {\"weight\": 6627, \"source\": 2, \"target\": 6}, {\"weight\": 3852, \"source\": 2, \"target\": 8}, {\"weight\": 12631, \"source\": 2, \"target\": 5}, {\"weight\": 7281, \"source\": 2, \"target\": 7}, {\"weight\": 13312, \"source\": 2, \"target\": 3}, {\"weight\": 4913, \"source\": 2, \"target\": 4}, {\"weight\": 12339, \"source\": 3, \"target\": 6}, {\"weight\": 14090, \"source\": 3, \"target\": 8}, {\"weight\": 1887, \"source\": 3, \"target\": 5}, {\"weight\": 9099, \"source\": 3, \"target\": 7}, {\"weight\": 8959, \"source\": 3, \"target\": 4}, {\"weight\": 6202, \"source\": 4, \"target\": 6}, {\"weight\": 6505, \"source\": 4, \"target\": 8}, {\"weight\": 8281, \"source\": 4, \"target\": 5}, {\"weight\": 4999, \"source\": 4, \"target\": 7}, {\"weight\": 10796, \"source\": 5, \"target\": 6}, {\"weight\": 13113, \"source\": 5, \"target\": 8}, {\"weight\": 9647, \"source\": 5, \"target\": 7}, {\"weight\": 4438, \"source\": 6, \"target\": 8}, {\"weight\": 10680, \"source\": 6, \"target\": 7}, {\"weight\": 10356, \"source\": 7, \"target\": 8}]}",
"id": 2276,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BFQ, GTF, ABT, SGU, GRQ, YBL, BTK, RAI, SXR\n- Travel distances (in kilometers) between each pair of airports:\nBFQ to BTK: 15483\nBFQ to SXR: 15974\nBFQ to YBL: 6583\nBFQ to GTF: 5629\nBFQ to RAI: 8856\nBFQ to SGU: 5460\nBFQ to GRQ: 10279\nBFQ to ABT: 14052\nGTF to BTK: 11632\nGTF to SXR: 13949\nGTF to YBL: 1197\nGTF to RAI: 8676\nGTF to SGU: 1179\nGTF to GRQ: 8494\nGTF to ABT: 12903\nABT to BTK: 6627\nABT to SXR: 3852\nABT to YBL: 12631\nABT to RAI: 7281\nABT to SGU: 13312\nABT to GRQ: 4913\nSGU to BTK: 12339\nSGU to SXR: 14090\nSGU to YBL: 1887\nSGU to RAI: 9099\nSGU to GRQ: 8959\nGRQ to BTK: 6202\nGRQ to SXR: 6505\nGRQ to YBL: 8281\nGRQ to RAI: 4999\nYBL to BTK: 10796\nYBL to SXR: 13113\nYBL to RAI: 9647\nBTK to SXR: 4438\nBTK to RAI: 10680\nRAI to SXR: 10356\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, SXB, ZDY, QFN, IND, MLH, PER, VDB, HFS\n- Travel distances (in kilometers) between each pair of airports:\nPTH to PER: 16319\nPTH to SXB: 11316\nPTH to MLH: 11480\nPTH to IND: 5536\nPTH to QFN: 10856\nPTH to VDB: 10735\nPTH to ZDY: 15281\nPTH to HFS: 11209\nSXB to PER: 14014\nSXB to MLH: 647\nSXB to IND: 7076\nSXB to QFN: 4528\nSXB to VDB: 1557\nSXB to ZDY: 5316\nSXB to HFS: 1842\nZDY to PER: 9384\nZDY to MLH: 5187\nZDY to IND: 12131\nZDY to QFN: 9299\nZDY to VDB: 5618\nZDY to HFS: 5373\nQFN to PER: 17620\nQFN to MLH: 4696\nQFN to IND: 6910\nQFN to VDB: 3947\nQFN to HFS: 4421\nIND to PER: 18052\nIND to MLH: 7140\nIND to VDB: 6789\nIND to HFS: 7263\nMLH to PER: 13885\nMLH to VDB: 1926\nMLH to HFS: 2218\nPER to VDB: 14039\nPER to HFS: 13779\nVDB to HFS: 763\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 50535,
"style": "rule"
}
|
{
"exact_answer": 50535,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"PTH\", \"id\": 0}, {\"name\": \"SXB\", \"id\": 1}, {\"name\": \"ZDY\", \"id\": 2}, {\"name\": \"QFN\", \"id\": 3}, {\"name\": \"IND\", \"id\": 4}, {\"name\": \"MLH\", \"id\": 5}, {\"name\": \"PER\", \"id\": 6}, {\"name\": \"VDB\", \"id\": 7}, {\"name\": \"HFS\", \"id\": 8}], \"links\": [{\"weight\": 16319, \"source\": 0, \"target\": 6}, {\"weight\": 11316, \"source\": 0, \"target\": 1}, {\"weight\": 11480, \"source\": 0, \"target\": 5}, {\"weight\": 5536, \"source\": 0, \"target\": 4}, {\"weight\": 10856, \"source\": 0, \"target\": 3}, {\"weight\": 10735, \"source\": 0, \"target\": 7}, {\"weight\": 15281, \"source\": 0, \"target\": 2}, {\"weight\": 11209, \"source\": 0, \"target\": 8}, {\"weight\": 14014, \"source\": 1, \"target\": 6}, {\"weight\": 647, \"source\": 1, \"target\": 5}, {\"weight\": 7076, \"source\": 1, \"target\": 4}, {\"weight\": 4528, \"source\": 1, \"target\": 3}, {\"weight\": 1557, \"source\": 1, \"target\": 7}, {\"weight\": 5316, \"source\": 1, \"target\": 2}, {\"weight\": 1842, \"source\": 1, \"target\": 8}, {\"weight\": 9384, \"source\": 2, \"target\": 6}, {\"weight\": 5187, \"source\": 2, \"target\": 5}, {\"weight\": 12131, \"source\": 2, \"target\": 4}, {\"weight\": 9299, \"source\": 2, \"target\": 3}, {\"weight\": 5618, \"source\": 2, \"target\": 7}, {\"weight\": 5373, \"source\": 2, \"target\": 8}, {\"weight\": 17620, \"source\": 3, \"target\": 6}, {\"weight\": 4696, \"source\": 3, \"target\": 5}, {\"weight\": 6910, \"source\": 3, \"target\": 4}, {\"weight\": 3947, \"source\": 3, \"target\": 7}, {\"weight\": 4421, \"source\": 3, \"target\": 8}, {\"weight\": 18052, \"source\": 4, \"target\": 6}, {\"weight\": 7140, \"source\": 4, \"target\": 5}, {\"weight\": 6789, \"source\": 4, \"target\": 7}, {\"weight\": 7263, \"source\": 4, \"target\": 8}, {\"weight\": 13885, \"source\": 5, \"target\": 6}, {\"weight\": 1926, \"source\": 5, \"target\": 7}, {\"weight\": 2218, \"source\": 5, \"target\": 8}, {\"weight\": 14039, \"source\": 6, \"target\": 7}, {\"weight\": 13779, \"source\": 6, \"target\": 8}, {\"weight\": 763, \"source\": 7, \"target\": 8}]}",
"id": 2277,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, SXB, ZDY, QFN, IND, MLH, PER, VDB, HFS\n- Travel distances (in kilometers) between each pair of airports:\nPTH to PER: 16319\nPTH to SXB: 11316\nPTH to MLH: 11480\nPTH to IND: 5536\nPTH to QFN: 10856\nPTH to VDB: 10735\nPTH to ZDY: 15281\nPTH to HFS: 11209\nSXB to PER: 14014\nSXB to MLH: 647\nSXB to IND: 7076\nSXB to QFN: 4528\nSXB to VDB: 1557\nSXB to ZDY: 5316\nSXB to HFS: 1842\nZDY to PER: 9384\nZDY to MLH: 5187\nZDY to IND: 12131\nZDY to QFN: 9299\nZDY to VDB: 5618\nZDY to HFS: 5373\nQFN to PER: 17620\nQFN to MLH: 4696\nQFN to IND: 6910\nQFN to VDB: 3947\nQFN to HFS: 4421\nIND to PER: 18052\nIND to MLH: 7140\nIND to VDB: 6789\nIND to HFS: 7263\nMLH to PER: 13885\nMLH to VDB: 1926\nMLH to HFS: 2218\nPER to VDB: 14039\nPER to HFS: 13779\nVDB to HFS: 763\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PBH, JIB, ROI, CAK, ISC, DOK, YSO, TME, CIT\n- Travel distances (in kilometers) between each pair of airports:\nPBH to JIB: 5384\nPBH to TME: 16748\nPBH to CAK: 13438\nPBH to ROI: 2384\nPBH to CIT: 3484\nPBH to DOK: 5422\nPBH to ISC: 8393\nPBH to YSO: 12676\nJIB to TME: 13915\nJIB to CAK: 12006\nJIB to ROI: 7178\nJIB to CIT: 4342\nJIB to DOK: 4275\nJIB to ISC: 6282\nJIB to YSO: 10667\nROI to TME: 18872\nROI to CAK: 14593\nROI to CIT: 5608\nROI to DOK: 7546\nROI to ISC: 10517\nROI to YSO: 14720\nCAK to TME: 4441\nCAK to CIT: 10750\nCAK to DOK: 8718\nCAK to ISC: 6262\nCAK to YSO: 2642\nISC to TME: 9255\nISC to CIT: 5689\nISC to DOK: 3184\nISC to YSO: 5453\nDOK to TME: 11544\nDOK to CIT: 3019\nDOK to YSO: 7471\nYSO to TME: 6096\nYSO to CIT: 9964\nTME to CIT: 13971\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 45700,
"style": "rule"
}
|
{
"exact_answer": 45700,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"PBH\", \"id\": 0}, {\"name\": \"JIB\", \"id\": 1}, {\"name\": \"ROI\", \"id\": 2}, {\"name\": \"CAK\", \"id\": 3}, {\"name\": \"ISC\", \"id\": 4}, {\"name\": \"DOK\", \"id\": 5}, {\"name\": \"YSO\", \"id\": 6}, {\"name\": \"TME\", \"id\": 7}, {\"name\": \"CIT\", \"id\": 8}], \"links\": [{\"weight\": 5384, \"source\": 0, \"target\": 1}, {\"weight\": 16748, \"source\": 0, \"target\": 7}, {\"weight\": 13438, \"source\": 0, \"target\": 3}, {\"weight\": 2384, \"source\": 0, \"target\": 2}, {\"weight\": 3484, \"source\": 0, \"target\": 8}, {\"weight\": 5422, \"source\": 0, \"target\": 5}, {\"weight\": 8393, \"source\": 0, \"target\": 4}, {\"weight\": 12676, \"source\": 0, \"target\": 6}, {\"weight\": 13915, \"source\": 1, \"target\": 7}, {\"weight\": 12006, \"source\": 1, \"target\": 3}, {\"weight\": 7178, \"source\": 1, \"target\": 2}, {\"weight\": 4342, \"source\": 1, \"target\": 8}, {\"weight\": 4275, \"source\": 1, \"target\": 5}, {\"weight\": 6282, \"source\": 1, \"target\": 4}, {\"weight\": 10667, \"source\": 1, \"target\": 6}, {\"weight\": 18872, \"source\": 2, \"target\": 7}, {\"weight\": 14593, \"source\": 2, \"target\": 3}, {\"weight\": 5608, \"source\": 2, \"target\": 8}, {\"weight\": 7546, \"source\": 2, \"target\": 5}, {\"weight\": 10517, \"source\": 2, \"target\": 4}, {\"weight\": 14720, \"source\": 2, \"target\": 6}, {\"weight\": 4441, \"source\": 3, \"target\": 7}, {\"weight\": 10750, \"source\": 3, \"target\": 8}, {\"weight\": 8718, \"source\": 3, \"target\": 5}, {\"weight\": 6262, \"source\": 3, \"target\": 4}, {\"weight\": 2642, \"source\": 3, \"target\": 6}, {\"weight\": 9255, \"source\": 4, \"target\": 7}, {\"weight\": 5689, \"source\": 4, \"target\": 8}, {\"weight\": 3184, \"source\": 4, \"target\": 5}, {\"weight\": 5453, \"source\": 4, \"target\": 6}, {\"weight\": 11544, \"source\": 5, \"target\": 7}, {\"weight\": 3019, \"source\": 5, \"target\": 8}, {\"weight\": 7471, \"source\": 5, \"target\": 6}, {\"weight\": 6096, \"source\": 6, \"target\": 7}, {\"weight\": 9964, \"source\": 6, \"target\": 8}, {\"weight\": 13971, \"source\": 7, \"target\": 8}]}",
"id": 2278,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PBH, JIB, ROI, CAK, ISC, DOK, YSO, TME, CIT\n- Travel distances (in kilometers) between each pair of airports:\nPBH to JIB: 5384\nPBH to TME: 16748\nPBH to CAK: 13438\nPBH to ROI: 2384\nPBH to CIT: 3484\nPBH to DOK: 5422\nPBH to ISC: 8393\nPBH to YSO: 12676\nJIB to TME: 13915\nJIB to CAK: 12006\nJIB to ROI: 7178\nJIB to CIT: 4342\nJIB to DOK: 4275\nJIB to ISC: 6282\nJIB to YSO: 10667\nROI to TME: 18872\nROI to CAK: 14593\nROI to CIT: 5608\nROI to DOK: 7546\nROI to ISC: 10517\nROI to YSO: 14720\nCAK to TME: 4441\nCAK to CIT: 10750\nCAK to DOK: 8718\nCAK to ISC: 6262\nCAK to YSO: 2642\nISC to TME: 9255\nISC to CIT: 5689\nISC to DOK: 3184\nISC to YSO: 5453\nDOK to TME: 11544\nDOK to CIT: 3019\nDOK to YSO: 7471\nYSO to TME: 6096\nYSO to CIT: 9964\nTME to CIT: 13971\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PSJ, EUG, YCD, MLX, IAM, COK, LGK, HOU, ATW\n- Travel distances (in kilometers) between each pair of airports:\nPSJ to COK: 5494\nPSJ to MLX: 11075\nPSJ to HOU: 16654\nPSJ to EUG: 13852\nPSJ to LGK: 3020\nPSJ to YCD: 13496\nPSJ to ATW: 15871\nPSJ to IAM: 13997\nEUG to COK: 14546\nEUG to MLX: 11165\nEUG to HOU: 2976\nEUG to LGK: 13331\nEUG to YCD: 624\nEUG to ATW: 2835\nEUG to IAM: 10848\nYCD to COK: 14035\nYCD to MLX: 10760\nYCD to HOU: 3262\nYCD to LGK: 12832\nYCD to ATW: 2734\nYCD to IAM: 10421\nMLX to COK: 5909\nMLX to HOU: 11093\nMLX to LGK: 8566\nMLX to ATW: 9812\nMLX to IAM: 3879\nIAM to COK: 8824\nIAM to HOU: 9924\nIAM to LGK: 11483\nIAM to ATW: 8745\nCOK to HOU: 15591\nCOK to LGK: 3364\nCOK to ATW: 14327\nLGK to HOU: 15966\nLGK to ATW: 15198\nHOU to ATW: 1780\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 43793,
"style": "rule"
}
|
{
"exact_answer": 43793,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"PSJ\", \"id\": 0}, {\"name\": \"EUG\", \"id\": 1}, {\"name\": \"YCD\", \"id\": 2}, {\"name\": \"MLX\", \"id\": 3}, {\"name\": \"IAM\", \"id\": 4}, {\"name\": \"COK\", \"id\": 5}, {\"name\": \"LGK\", \"id\": 6}, {\"name\": \"HOU\", \"id\": 7}, {\"name\": \"ATW\", \"id\": 8}], \"links\": [{\"weight\": 5494, \"source\": 0, \"target\": 5}, {\"weight\": 11075, \"source\": 0, \"target\": 3}, {\"weight\": 16654, \"source\": 0, \"target\": 7}, {\"weight\": 13852, \"source\": 0, \"target\": 1}, {\"weight\": 3020, \"source\": 0, \"target\": 6}, {\"weight\": 13496, \"source\": 0, \"target\": 2}, {\"weight\": 15871, \"source\": 0, \"target\": 8}, {\"weight\": 13997, \"source\": 0, \"target\": 4}, {\"weight\": 14546, \"source\": 1, \"target\": 5}, {\"weight\": 11165, \"source\": 1, \"target\": 3}, {\"weight\": 2976, \"source\": 1, \"target\": 7}, {\"weight\": 13331, \"source\": 1, \"target\": 6}, {\"weight\": 624, \"source\": 1, \"target\": 2}, {\"weight\": 2835, \"source\": 1, \"target\": 8}, {\"weight\": 10848, \"source\": 1, \"target\": 4}, {\"weight\": 14035, \"source\": 2, \"target\": 5}, {\"weight\": 10760, \"source\": 2, \"target\": 3}, {\"weight\": 3262, \"source\": 2, \"target\": 7}, {\"weight\": 12832, \"source\": 2, \"target\": 6}, {\"weight\": 2734, \"source\": 2, \"target\": 8}, {\"weight\": 10421, \"source\": 2, \"target\": 4}, {\"weight\": 5909, \"source\": 3, \"target\": 5}, {\"weight\": 11093, \"source\": 3, \"target\": 7}, {\"weight\": 8566, \"source\": 3, \"target\": 6}, {\"weight\": 9812, \"source\": 3, \"target\": 8}, {\"weight\": 3879, \"source\": 3, \"target\": 4}, {\"weight\": 8824, \"source\": 4, \"target\": 5}, {\"weight\": 9924, \"source\": 4, \"target\": 7}, {\"weight\": 11483, \"source\": 4, \"target\": 6}, {\"weight\": 8745, \"source\": 4, \"target\": 8}, {\"weight\": 15591, \"source\": 5, \"target\": 7}, {\"weight\": 3364, \"source\": 5, \"target\": 6}, {\"weight\": 14327, \"source\": 5, \"target\": 8}, {\"weight\": 15966, \"source\": 6, \"target\": 7}, {\"weight\": 15198, \"source\": 6, \"target\": 8}, {\"weight\": 1780, \"source\": 7, \"target\": 8}]}",
"id": 2279,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PSJ, EUG, YCD, MLX, IAM, COK, LGK, HOU, ATW\n- Travel distances (in kilometers) between each pair of airports:\nPSJ to COK: 5494\nPSJ to MLX: 11075\nPSJ to HOU: 16654\nPSJ to EUG: 13852\nPSJ to LGK: 3020\nPSJ to YCD: 13496\nPSJ to ATW: 15871\nPSJ to IAM: 13997\nEUG to COK: 14546\nEUG to MLX: 11165\nEUG to HOU: 2976\nEUG to LGK: 13331\nEUG to YCD: 624\nEUG to ATW: 2835\nEUG to IAM: 10848\nYCD to COK: 14035\nYCD to MLX: 10760\nYCD to HOU: 3262\nYCD to LGK: 12832\nYCD to ATW: 2734\nYCD to IAM: 10421\nMLX to COK: 5909\nMLX to HOU: 11093\nMLX to LGK: 8566\nMLX to ATW: 9812\nMLX to IAM: 3879\nIAM to COK: 8824\nIAM to HOU: 9924\nIAM to LGK: 11483\nIAM to ATW: 8745\nCOK to HOU: 15591\nCOK to LGK: 3364\nCOK to ATW: 14327\nLGK to HOU: 15966\nLGK to ATW: 15198\nHOU to ATW: 1780\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SKG, BJB, TYN, CEC, GBE, TGI, LPB, FLO, KBR\n- Travel distances (in kilometers) between each pair of airports:\nSKG to TYN: 7421\nSKG to LPB: 11704\nSKG to FLO: 8719\nSKG to KBR: 9018\nSKG to GBE: 7791\nSKG to BJB: 3120\nSKG to CEC: 11123\nSKG to TGI: 12088\nBJB to TYN: 6051\nBJB to LPB: 14799\nBJB to FLO: 11695\nBJB to KBR: 7292\nBJB to GBE: 7792\nBJB to CEC: 13925\nBJB to TGI: 15183\nTYN to LPB: 17801\nTYN to FLO: 12040\nTYN to KBR: 4109\nTYN to GBE: 11644\nTYN to CEC: 10412\nTYN to TGI: 17372\nCEC to LPB: 8805\nCEC to FLO: 4182\nCEC to KBR: 14253\nCEC to GBE: 17589\nCEC to TGI: 8046\nGBE to LPB: 10122\nGBE to FLO: 14084\nGBE to KBR: 9189\nGBE to TGI: 11530\nTGI to LPB: 1409\nTGI to FLO: 5751\nTGI to KBR: 20135\nLPB to FLO: 6086\nLPB to KBR: 18727\nFLO to KBR: 16103\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 54188,
"style": "rule"
}
|
{
"exact_answer": 54188,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"SKG\", \"id\": 0}, {\"name\": \"BJB\", \"id\": 1}, {\"name\": \"TYN\", \"id\": 2}, {\"name\": \"CEC\", \"id\": 3}, {\"name\": \"GBE\", \"id\": 4}, {\"name\": \"TGI\", \"id\": 5}, {\"name\": \"LPB\", \"id\": 6}, {\"name\": \"FLO\", \"id\": 7}, {\"name\": \"KBR\", \"id\": 8}], \"links\": [{\"weight\": 7421, \"source\": 0, \"target\": 2}, {\"weight\": 11704, \"source\": 0, \"target\": 6}, {\"weight\": 8719, \"source\": 0, \"target\": 7}, {\"weight\": 9018, \"source\": 0, \"target\": 8}, {\"weight\": 7791, \"source\": 0, \"target\": 4}, {\"weight\": 3120, \"source\": 0, \"target\": 1}, {\"weight\": 11123, \"source\": 0, \"target\": 3}, {\"weight\": 12088, \"source\": 0, \"target\": 5}, {\"weight\": 6051, \"source\": 1, \"target\": 2}, {\"weight\": 14799, \"source\": 1, \"target\": 6}, {\"weight\": 11695, \"source\": 1, \"target\": 7}, {\"weight\": 7292, \"source\": 1, \"target\": 8}, {\"weight\": 7792, \"source\": 1, \"target\": 4}, {\"weight\": 13925, \"source\": 1, \"target\": 3}, {\"weight\": 15183, \"source\": 1, \"target\": 5}, {\"weight\": 17801, \"source\": 2, \"target\": 6}, {\"weight\": 12040, \"source\": 2, \"target\": 7}, {\"weight\": 4109, \"source\": 2, \"target\": 8}, {\"weight\": 11644, \"source\": 2, \"target\": 4}, {\"weight\": 10412, \"source\": 2, \"target\": 3}, {\"weight\": 17372, \"source\": 2, \"target\": 5}, {\"weight\": 8805, \"source\": 3, \"target\": 6}, {\"weight\": 4182, \"source\": 3, \"target\": 7}, {\"weight\": 14253, \"source\": 3, \"target\": 8}, {\"weight\": 17589, \"source\": 3, \"target\": 4}, {\"weight\": 8046, \"source\": 3, \"target\": 5}, {\"weight\": 10122, \"source\": 4, \"target\": 6}, {\"weight\": 14084, \"source\": 4, \"target\": 7}, {\"weight\": 9189, \"source\": 4, \"target\": 8}, {\"weight\": 11530, \"source\": 4, \"target\": 5}, {\"weight\": 1409, \"source\": 5, \"target\": 6}, {\"weight\": 5751, \"source\": 5, \"target\": 7}, {\"weight\": 20135, \"source\": 5, \"target\": 8}, {\"weight\": 6086, \"source\": 6, \"target\": 7}, {\"weight\": 18727, \"source\": 6, \"target\": 8}, {\"weight\": 16103, \"source\": 7, \"target\": 8}]}",
"id": 2280,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SKG, BJB, TYN, CEC, GBE, TGI, LPB, FLO, KBR\n- Travel distances (in kilometers) between each pair of airports:\nSKG to TYN: 7421\nSKG to LPB: 11704\nSKG to FLO: 8719\nSKG to KBR: 9018\nSKG to GBE: 7791\nSKG to BJB: 3120\nSKG to CEC: 11123\nSKG to TGI: 12088\nBJB to TYN: 6051\nBJB to LPB: 14799\nBJB to FLO: 11695\nBJB to KBR: 7292\nBJB to GBE: 7792\nBJB to CEC: 13925\nBJB to TGI: 15183\nTYN to LPB: 17801\nTYN to FLO: 12040\nTYN to KBR: 4109\nTYN to GBE: 11644\nTYN to CEC: 10412\nTYN to TGI: 17372\nCEC to LPB: 8805\nCEC to FLO: 4182\nCEC to KBR: 14253\nCEC to GBE: 17589\nCEC to TGI: 8046\nGBE to LPB: 10122\nGBE to FLO: 14084\nGBE to KBR: 9189\nGBE to TGI: 11530\nTGI to LPB: 1409\nTGI to FLO: 5751\nTGI to KBR: 20135\nLPB to FLO: 6086\nLPB to KBR: 18727\nFLO to KBR: 16103\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: MTR, SAN, SLI, LUK, INV, OCC, SNA, NOZ, STL\n- Travel distances (in kilometers) between each pair of airports:\nMTR to OCC: 1301\nMTR to STL: 4595\nMTR to SNA: 5921\nMTR to SAN: 5809\nMTR to INV: 9418\nMTR to SLI: 13455\nMTR to LUK: 4503\nMTR to NOZ: 14505\nSAN to STL: 2501\nSAN to OCC: 5626\nSAN to SNA: 780\nSAN to INV: 8662\nSAN to SLI: 16204\nSAN to LUK: 3185\nSAN to NOZ: 13036\nSLI to OCC: 13242\nSLI to STL: 13708\nSLI to SNA: 16234\nSLI to INV: 9084\nSLI to LUK: 13676\nSLI to NOZ: 11250\nLUK to OCC: 4639\nLUK to STL: 814\nLUK to SNA: 3205\nLUK to INV: 6803\nLUK to NOZ: 11689\nINV to OCC: 9817\nINV to STL: 6771\nINV to SNA: 8650\nINV to NOZ: 5824\nOCC to STL: 4726\nOCC to SNA: 5738\nOCC to NOZ: 14904\nSNA to STL: 2565\nSNA to NOZ: 13506\nNOZ to STL: 11593\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 48388,
"style": "rule"
}
|
{
"exact_answer": 48388,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"MTR\", \"id\": 0}, {\"name\": \"SAN\", \"id\": 1}, {\"name\": \"SLI\", \"id\": 2}, {\"name\": \"LUK\", \"id\": 3}, {\"name\": \"INV\", \"id\": 4}, {\"name\": \"OCC\", \"id\": 5}, {\"name\": \"SNA\", \"id\": 6}, {\"name\": \"NOZ\", \"id\": 7}, {\"name\": \"STL\", \"id\": 8}], \"links\": [{\"weight\": 1301, \"source\": 0, \"target\": 5}, {\"weight\": 4595, \"source\": 0, \"target\": 8}, {\"weight\": 5921, \"source\": 0, \"target\": 6}, {\"weight\": 5809, \"source\": 0, \"target\": 1}, {\"weight\": 9418, \"source\": 0, \"target\": 4}, {\"weight\": 13455, \"source\": 0, \"target\": 2}, {\"weight\": 4503, \"source\": 0, \"target\": 3}, {\"weight\": 14505, \"source\": 0, \"target\": 7}, {\"weight\": 2501, \"source\": 1, \"target\": 8}, {\"weight\": 5626, \"source\": 1, \"target\": 5}, {\"weight\": 780, \"source\": 1, \"target\": 6}, {\"weight\": 8662, \"source\": 1, \"target\": 4}, {\"weight\": 16204, \"source\": 1, \"target\": 2}, {\"weight\": 3185, \"source\": 1, \"target\": 3}, {\"weight\": 13036, \"source\": 1, \"target\": 7}, {\"weight\": 13242, \"source\": 2, \"target\": 5}, {\"weight\": 13708, \"source\": 2, \"target\": 8}, {\"weight\": 16234, \"source\": 2, \"target\": 6}, {\"weight\": 9084, \"source\": 2, \"target\": 4}, {\"weight\": 13676, \"source\": 2, \"target\": 3}, {\"weight\": 11250, \"source\": 2, \"target\": 7}, {\"weight\": 4639, \"source\": 3, \"target\": 5}, {\"weight\": 814, \"source\": 3, \"target\": 8}, {\"weight\": 3205, \"source\": 3, \"target\": 6}, {\"weight\": 6803, \"source\": 3, \"target\": 4}, {\"weight\": 11689, \"source\": 3, \"target\": 7}, {\"weight\": 9817, \"source\": 4, \"target\": 5}, {\"weight\": 6771, \"source\": 4, \"target\": 8}, {\"weight\": 8650, \"source\": 4, \"target\": 6}, {\"weight\": 5824, \"source\": 4, \"target\": 7}, {\"weight\": 4726, \"source\": 5, \"target\": 8}, {\"weight\": 5738, \"source\": 5, \"target\": 6}, {\"weight\": 14904, \"source\": 5, \"target\": 7}, {\"weight\": 2565, \"source\": 6, \"target\": 8}, {\"weight\": 13506, \"source\": 6, \"target\": 7}, {\"weight\": 11593, \"source\": 7, \"target\": 8}]}",
"id": 2281,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: MTR, SAN, SLI, LUK, INV, OCC, SNA, NOZ, STL\n- Travel distances (in kilometers) between each pair of airports:\nMTR to OCC: 1301\nMTR to STL: 4595\nMTR to SNA: 5921\nMTR to SAN: 5809\nMTR to INV: 9418\nMTR to SLI: 13455\nMTR to LUK: 4503\nMTR to NOZ: 14505\nSAN to STL: 2501\nSAN to OCC: 5626\nSAN to SNA: 780\nSAN to INV: 8662\nSAN to SLI: 16204\nSAN to LUK: 3185\nSAN to NOZ: 13036\nSLI to OCC: 13242\nSLI to STL: 13708\nSLI to SNA: 16234\nSLI to INV: 9084\nSLI to LUK: 13676\nSLI to NOZ: 11250\nLUK to OCC: 4639\nLUK to STL: 814\nLUK to SNA: 3205\nLUK to INV: 6803\nLUK to NOZ: 11689\nINV to OCC: 9817\nINV to STL: 6771\nINV to SNA: 8650\nINV to NOZ: 5824\nOCC to STL: 4726\nOCC to SNA: 5738\nOCC to NOZ: 14904\nSNA to STL: 2565\nSNA to NOZ: 13506\nNOZ to STL: 11593\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: OLC, FBS, UGC, MLU, LSC, YRT, CLT, SYB, PKR\n- Travel distances (in kilometers) between each pair of airports:\nOLC to SYB: 11787\nOLC to YRT: 9384\nOLC to CLT: 5914\nOLC to MLU: 6542\nOLC to LSC: 6687\nOLC to UGC: 14542\nOLC to FBS: 9377\nOLC to PKR: 17392\nFBS to SYB: 2921\nFBS to YRT: 3184\nFBS to CLT: 3793\nFBS to MLU: 3269\nFBS to LSC: 10349\nFBS to UGC: 11579\nFBS to PKR: 12152\nUGC to SYB: 14234\nUGC to YRT: 12169\nUGC to CLT: 10646\nUGC to MLU: 11706\nUGC to LSC: 16050\nUGC to PKR: 3259\nMLU to SYB: 5827\nMLU to YRT: 3943\nMLU to CLT: 1083\nMLU to LSC: 7658\nMLU to PKR: 14535\nLSC to SYB: 12950\nLSC to YRT: 10818\nLSC to CLT: 7442\nLSC to PKR: 18341\nYRT to SYB: 5839\nYRT to CLT: 3568\nYRT to PKR: 14795\nCLT to SYB: 5995\nCLT to PKR: 13571\nSYB to PKR: 14807\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 57709,
"style": "rule"
}
|
{
"exact_answer": 57709,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"OLC\", \"id\": 0}, {\"name\": \"FBS\", \"id\": 1}, {\"name\": \"UGC\", \"id\": 2}, {\"name\": \"MLU\", \"id\": 3}, {\"name\": \"LSC\", \"id\": 4}, {\"name\": \"YRT\", \"id\": 5}, {\"name\": \"CLT\", \"id\": 6}, {\"name\": \"SYB\", \"id\": 7}, {\"name\": \"PKR\", \"id\": 8}], \"links\": [{\"weight\": 11787, \"source\": 0, \"target\": 7}, {\"weight\": 9384, \"source\": 0, \"target\": 5}, {\"weight\": 5914, \"source\": 0, \"target\": 6}, {\"weight\": 6542, \"source\": 0, \"target\": 3}, {\"weight\": 6687, \"source\": 0, \"target\": 4}, {\"weight\": 14542, \"source\": 0, \"target\": 2}, {\"weight\": 9377, \"source\": 0, \"target\": 1}, {\"weight\": 17392, \"source\": 0, \"target\": 8}, {\"weight\": 2921, \"source\": 1, \"target\": 7}, {\"weight\": 3184, \"source\": 1, \"target\": 5}, {\"weight\": 3793, \"source\": 1, \"target\": 6}, {\"weight\": 3269, \"source\": 1, \"target\": 3}, {\"weight\": 10349, \"source\": 1, \"target\": 4}, {\"weight\": 11579, \"source\": 1, \"target\": 2}, {\"weight\": 12152, \"source\": 1, \"target\": 8}, {\"weight\": 14234, \"source\": 2, \"target\": 7}, {\"weight\": 12169, \"source\": 2, \"target\": 5}, {\"weight\": 10646, \"source\": 2, \"target\": 6}, {\"weight\": 11706, \"source\": 2, \"target\": 3}, {\"weight\": 16050, \"source\": 2, \"target\": 4}, {\"weight\": 3259, \"source\": 2, \"target\": 8}, {\"weight\": 5827, \"source\": 3, \"target\": 7}, {\"weight\": 3943, \"source\": 3, \"target\": 5}, {\"weight\": 1083, \"source\": 3, \"target\": 6}, {\"weight\": 7658, \"source\": 3, \"target\": 4}, {\"weight\": 14535, \"source\": 3, \"target\": 8}, {\"weight\": 12950, \"source\": 4, \"target\": 7}, {\"weight\": 10818, \"source\": 4, \"target\": 5}, {\"weight\": 7442, \"source\": 4, \"target\": 6}, {\"weight\": 18341, \"source\": 4, \"target\": 8}, {\"weight\": 5839, \"source\": 5, \"target\": 7}, {\"weight\": 3568, \"source\": 5, \"target\": 6}, {\"weight\": 14795, \"source\": 5, \"target\": 8}, {\"weight\": 5995, \"source\": 6, \"target\": 7}, {\"weight\": 13571, \"source\": 6, \"target\": 8}, {\"weight\": 14807, \"source\": 7, \"target\": 8}]}",
"id": 2282,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: OLC, FBS, UGC, MLU, LSC, YRT, CLT, SYB, PKR\n- Travel distances (in kilometers) between each pair of airports:\nOLC to SYB: 11787\nOLC to YRT: 9384\nOLC to CLT: 5914\nOLC to MLU: 6542\nOLC to LSC: 6687\nOLC to UGC: 14542\nOLC to FBS: 9377\nOLC to PKR: 17392\nFBS to SYB: 2921\nFBS to YRT: 3184\nFBS to CLT: 3793\nFBS to MLU: 3269\nFBS to LSC: 10349\nFBS to UGC: 11579\nFBS to PKR: 12152\nUGC to SYB: 14234\nUGC to YRT: 12169\nUGC to CLT: 10646\nUGC to MLU: 11706\nUGC to LSC: 16050\nUGC to PKR: 3259\nMLU to SYB: 5827\nMLU to YRT: 3943\nMLU to CLT: 1083\nMLU to LSC: 7658\nMLU to PKR: 14535\nLSC to SYB: 12950\nLSC to YRT: 10818\nLSC to CLT: 7442\nLSC to PKR: 18341\nYRT to SYB: 5839\nYRT to CLT: 3568\nYRT to PKR: 14795\nCLT to SYB: 5995\nCLT to PKR: 13571\nSYB to PKR: 14807\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, MGS, DBV, RRG, BPL, MSL, TGG, YIW, EXI\n- Travel distances (in kilometers) between each pair of airports:\nGOM to MSL: 13115\nGOM to DBV: 7920\nGOM to TGG: 11896\nGOM to YIW: 13320\nGOM to BPL: 11141\nGOM to MGS: 20580\nGOM to RRG: 7602\nGOM to EXI: 17212\nMGS to MSL: 11186\nMGS to DBV: 18177\nMGS to TGG: 11946\nMGS to YIW: 13071\nMGS to BPL: 15801\nMGS to RRG: 14955\nMGS to EXI: 10791\nDBV to MSL: 8779\nDBV to TGG: 9816\nDBV to YIW: 9259\nDBV to BPL: 6407\nDBV to RRG: 9049\nDBV to EXI: 10822\nRRG to MSL: 17154\nRRG to TGG: 6374\nRRG to YIW: 9380\nRRG to BPL: 9242\nRRG to EXI: 19120\nBPL to MSL: 13145\nBPL to TGG: 5920\nBPL to YIW: 3738\nBPL to EXI: 13063\nMSL to TGG: 16600\nMSL to YIW: 13088\nMSL to EXI: 5332\nTGG to YIW: 3886\nTGG to EXI: 14797\nYIW to EXI: 11118\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 69236,
"style": "rule"
}
|
{
"exact_answer": 69236,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"GOM\", \"id\": 0}, {\"name\": \"MGS\", \"id\": 1}, {\"name\": \"DBV\", \"id\": 2}, {\"name\": \"RRG\", \"id\": 3}, {\"name\": \"BPL\", \"id\": 4}, {\"name\": \"MSL\", \"id\": 5}, {\"name\": \"TGG\", \"id\": 6}, {\"name\": \"YIW\", \"id\": 7}, {\"name\": \"EXI\", \"id\": 8}], \"links\": [{\"weight\": 13115, \"source\": 0, \"target\": 5}, {\"weight\": 7920, \"source\": 0, \"target\": 2}, {\"weight\": 11896, \"source\": 0, \"target\": 6}, {\"weight\": 13320, \"source\": 0, \"target\": 7}, {\"weight\": 11141, \"source\": 0, \"target\": 4}, {\"weight\": 20580, \"source\": 0, \"target\": 1}, {\"weight\": 7602, \"source\": 0, \"target\": 3}, {\"weight\": 17212, \"source\": 0, \"target\": 8}, {\"weight\": 11186, \"source\": 1, \"target\": 5}, {\"weight\": 18177, \"source\": 1, \"target\": 2}, {\"weight\": 11946, \"source\": 1, \"target\": 6}, {\"weight\": 13071, \"source\": 1, \"target\": 7}, {\"weight\": 15801, \"source\": 1, \"target\": 4}, {\"weight\": 14955, \"source\": 1, \"target\": 3}, {\"weight\": 10791, \"source\": 1, \"target\": 8}, {\"weight\": 8779, \"source\": 2, \"target\": 5}, {\"weight\": 9816, \"source\": 2, \"target\": 6}, {\"weight\": 9259, \"source\": 2, \"target\": 7}, {\"weight\": 6407, \"source\": 2, \"target\": 4}, {\"weight\": 9049, \"source\": 2, \"target\": 3}, {\"weight\": 10822, \"source\": 2, \"target\": 8}, {\"weight\": 17154, \"source\": 3, \"target\": 5}, {\"weight\": 6374, \"source\": 3, \"target\": 6}, {\"weight\": 9380, \"source\": 3, \"target\": 7}, {\"weight\": 9242, \"source\": 3, \"target\": 4}, {\"weight\": 19120, \"source\": 3, \"target\": 8}, {\"weight\": 13145, \"source\": 4, \"target\": 5}, {\"weight\": 5920, \"source\": 4, \"target\": 6}, {\"weight\": 3738, \"source\": 4, \"target\": 7}, {\"weight\": 13063, \"source\": 4, \"target\": 8}, {\"weight\": 16600, \"source\": 5, \"target\": 6}, {\"weight\": 13088, \"source\": 5, \"target\": 7}, {\"weight\": 5332, \"source\": 5, \"target\": 8}, {\"weight\": 3886, \"source\": 6, \"target\": 7}, {\"weight\": 14797, \"source\": 6, \"target\": 8}, {\"weight\": 11118, \"source\": 7, \"target\": 8}]}",
"id": 2283,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, MGS, DBV, RRG, BPL, MSL, TGG, YIW, EXI\n- Travel distances (in kilometers) between each pair of airports:\nGOM to MSL: 13115\nGOM to DBV: 7920\nGOM to TGG: 11896\nGOM to YIW: 13320\nGOM to BPL: 11141\nGOM to MGS: 20580\nGOM to RRG: 7602\nGOM to EXI: 17212\nMGS to MSL: 11186\nMGS to DBV: 18177\nMGS to TGG: 11946\nMGS to YIW: 13071\nMGS to BPL: 15801\nMGS to RRG: 14955\nMGS to EXI: 10791\nDBV to MSL: 8779\nDBV to TGG: 9816\nDBV to YIW: 9259\nDBV to BPL: 6407\nDBV to RRG: 9049\nDBV to EXI: 10822\nRRG to MSL: 17154\nRRG to TGG: 6374\nRRG to YIW: 9380\nRRG to BPL: 9242\nRRG to EXI: 19120\nBPL to MSL: 13145\nBPL to TGG: 5920\nBPL to YIW: 3738\nBPL to EXI: 13063\nMSL to TGG: 16600\nMSL to YIW: 13088\nMSL to EXI: 5332\nTGG to YIW: 3886\nTGG to EXI: 14797\nYIW to EXI: 11118\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: UKS, MLY, EZS, MLX, ATT, HSG, OPS, BIS, ZMT\n- Travel distances (in kilometers) between each pair of airports:\nUKS to OPS: 12197\nUKS to MLY: 12497\nUKS to ATT: 12893\nUKS to ZMT: 10640\nUKS to EZS: 2606\nUKS to MLX: 2515\nUKS to HSG: 8508\nUKS to BIS: 9780\nMLY to OPS: 13177\nMLY to ATT: 1214\nMLY to ZMT: 3614\nMLY to EZS: 13473\nMLY to MLX: 13382\nMLY to HSG: 11213\nMLY to BIS: 5068\nEZS to OPS: 12127\nEZS to ATT: 13869\nEZS to ZMT: 11616\nEZS to MLX: 1043\nEZS to HSG: 9007\nEZS to BIS: 10407\nMLX to OPS: 12036\nMLX to ATT: 13778\nMLX to ZMT: 11525\nMLX to HSG: 8916\nMLX to BIS: 10316\nATT to OPS: 13328\nATT to ZMT: 4010\nATT to HSG: 11609\nATT to BIS: 5325\nHSG to OPS: 19204\nHSG to ZMT: 9284\nHSG to BIS: 11087\nOPS to ZMT: 11559\nOPS to BIS: 9169\nBIS to ZMT: 3437\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 52799,
"style": "rule"
}
|
{
"exact_answer": 52799,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"UKS\", \"id\": 0}, {\"name\": \"MLY\", \"id\": 1}, {\"name\": \"EZS\", \"id\": 2}, {\"name\": \"MLX\", \"id\": 3}, {\"name\": \"ATT\", \"id\": 4}, {\"name\": \"HSG\", \"id\": 5}, {\"name\": \"OPS\", \"id\": 6}, {\"name\": \"BIS\", \"id\": 7}, {\"name\": \"ZMT\", \"id\": 8}], \"links\": [{\"weight\": 12197, \"source\": 0, \"target\": 6}, {\"weight\": 12497, \"source\": 0, \"target\": 1}, {\"weight\": 12893, \"source\": 0, \"target\": 4}, {\"weight\": 10640, \"source\": 0, \"target\": 8}, {\"weight\": 2606, \"source\": 0, \"target\": 2}, {\"weight\": 2515, \"source\": 0, \"target\": 3}, {\"weight\": 8508, \"source\": 0, \"target\": 5}, {\"weight\": 9780, \"source\": 0, \"target\": 7}, {\"weight\": 13177, \"source\": 1, \"target\": 6}, {\"weight\": 1214, \"source\": 1, \"target\": 4}, {\"weight\": 3614, \"source\": 1, \"target\": 8}, {\"weight\": 13473, \"source\": 1, \"target\": 2}, {\"weight\": 13382, \"source\": 1, \"target\": 3}, {\"weight\": 11213, \"source\": 1, \"target\": 5}, {\"weight\": 5068, \"source\": 1, \"target\": 7}, {\"weight\": 12127, \"source\": 2, \"target\": 6}, {\"weight\": 13869, \"source\": 2, \"target\": 4}, {\"weight\": 11616, \"source\": 2, \"target\": 8}, {\"weight\": 1043, \"source\": 2, \"target\": 3}, {\"weight\": 9007, \"source\": 2, \"target\": 5}, {\"weight\": 10407, \"source\": 2, \"target\": 7}, {\"weight\": 12036, \"source\": 3, \"target\": 6}, {\"weight\": 13778, \"source\": 3, \"target\": 4}, {\"weight\": 11525, \"source\": 3, \"target\": 8}, {\"weight\": 8916, \"source\": 3, \"target\": 5}, {\"weight\": 10316, \"source\": 3, \"target\": 7}, {\"weight\": 13328, \"source\": 4, \"target\": 6}, {\"weight\": 4010, \"source\": 4, \"target\": 8}, {\"weight\": 11609, \"source\": 4, \"target\": 5}, {\"weight\": 5325, \"source\": 4, \"target\": 7}, {\"weight\": 19204, \"source\": 5, \"target\": 6}, {\"weight\": 9284, \"source\": 5, \"target\": 8}, {\"weight\": 11087, \"source\": 5, \"target\": 7}, {\"weight\": 11559, \"source\": 6, \"target\": 8}, {\"weight\": 9169, \"source\": 6, \"target\": 7}, {\"weight\": 3437, \"source\": 7, \"target\": 8}]}",
"id": 2284,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: UKS, MLY, EZS, MLX, ATT, HSG, OPS, BIS, ZMT\n- Travel distances (in kilometers) between each pair of airports:\nUKS to OPS: 12197\nUKS to MLY: 12497\nUKS to ATT: 12893\nUKS to ZMT: 10640\nUKS to EZS: 2606\nUKS to MLX: 2515\nUKS to HSG: 8508\nUKS to BIS: 9780\nMLY to OPS: 13177\nMLY to ATT: 1214\nMLY to ZMT: 3614\nMLY to EZS: 13473\nMLY to MLX: 13382\nMLY to HSG: 11213\nMLY to BIS: 5068\nEZS to OPS: 12127\nEZS to ATT: 13869\nEZS to ZMT: 11616\nEZS to MLX: 1043\nEZS to HSG: 9007\nEZS to BIS: 10407\nMLX to OPS: 12036\nMLX to ATT: 13778\nMLX to ZMT: 11525\nMLX to HSG: 8916\nMLX to BIS: 10316\nATT to OPS: 13328\nATT to ZMT: 4010\nATT to HSG: 11609\nATT to BIS: 5325\nHSG to OPS: 19204\nHSG to ZMT: 9284\nHSG to BIS: 11087\nOPS to ZMT: 11559\nOPS to BIS: 9169\nBIS to ZMT: 3437\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PSJ, LDY, LLB, LFM, HNH, SVC, MMX, MBA, MAJ\n- Travel distances (in kilometers) between each pair of airports:\nPSJ to MBA: 10567\nPSJ to MMX: 12351\nPSJ to LLB: 4335\nPSJ to LFM: 8456\nPSJ to LDY: 13499\nPSJ to HNH: 15112\nPSJ to MAJ: 8681\nPSJ to SVC: 15538\nLDY to MBA: 7860\nLDY to MMX: 1553\nLDY to LLB: 10340\nLDY to LFM: 5766\nLDY to HNH: 9396\nLDY to MAJ: 15661\nLDY to SVC: 9004\nLLB to MBA: 9677\nLLB to MMX: 9175\nLLB to LFM: 6724\nLLB to HNH: 12469\nLLB to MAJ: 7336\nLLB to SVC: 13028\nLFM to MBA: 3993\nLFM to MMX: 4712\nLFM to HNH: 13763\nLFM to MAJ: 12864\nLFM to SVC: 13922\nHNH to MBA: 16419\nHNH to MMX: 9999\nHNH to MAJ: 9113\nHNH to SVC: 3667\nSVC to MBA: 16095\nSVC to MMX: 9736\nSVC to MAJ: 8726\nMMX to MBA: 7098\nMMX to MAJ: 14382\nMBA to MAJ: 15620\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 54168,
"style": "rule"
}
|
{
"exact_answer": 54168,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"PSJ\", \"id\": 0}, {\"name\": \"LDY\", \"id\": 1}, {\"name\": \"LLB\", \"id\": 2}, {\"name\": \"LFM\", \"id\": 3}, {\"name\": \"HNH\", \"id\": 4}, {\"name\": \"SVC\", \"id\": 5}, {\"name\": \"MMX\", \"id\": 6}, {\"name\": \"MBA\", \"id\": 7}, {\"name\": \"MAJ\", \"id\": 8}], \"links\": [{\"weight\": 10567, \"source\": 0, \"target\": 7}, {\"weight\": 12351, \"source\": 0, \"target\": 6}, {\"weight\": 4335, \"source\": 0, \"target\": 2}, {\"weight\": 8456, \"source\": 0, \"target\": 3}, {\"weight\": 13499, \"source\": 0, \"target\": 1}, {\"weight\": 15112, \"source\": 0, \"target\": 4}, {\"weight\": 8681, \"source\": 0, \"target\": 8}, {\"weight\": 15538, \"source\": 0, \"target\": 5}, {\"weight\": 7860, \"source\": 1, \"target\": 7}, {\"weight\": 1553, \"source\": 1, \"target\": 6}, {\"weight\": 10340, \"source\": 1, \"target\": 2}, {\"weight\": 5766, \"source\": 1, \"target\": 3}, {\"weight\": 9396, \"source\": 1, \"target\": 4}, {\"weight\": 15661, \"source\": 1, \"target\": 8}, {\"weight\": 9004, \"source\": 1, \"target\": 5}, {\"weight\": 9677, \"source\": 2, \"target\": 7}, {\"weight\": 9175, \"source\": 2, \"target\": 6}, {\"weight\": 6724, \"source\": 2, \"target\": 3}, {\"weight\": 12469, \"source\": 2, \"target\": 4}, {\"weight\": 7336, \"source\": 2, \"target\": 8}, {\"weight\": 13028, \"source\": 2, \"target\": 5}, {\"weight\": 3993, \"source\": 3, \"target\": 7}, {\"weight\": 4712, \"source\": 3, \"target\": 6}, {\"weight\": 13763, \"source\": 3, \"target\": 4}, {\"weight\": 12864, \"source\": 3, \"target\": 8}, {\"weight\": 13922, \"source\": 3, \"target\": 5}, {\"weight\": 16419, \"source\": 4, \"target\": 7}, {\"weight\": 9999, \"source\": 4, \"target\": 6}, {\"weight\": 9113, \"source\": 4, \"target\": 8}, {\"weight\": 3667, \"source\": 4, \"target\": 5}, {\"weight\": 16095, \"source\": 5, \"target\": 7}, {\"weight\": 9736, \"source\": 5, \"target\": 6}, {\"weight\": 8726, \"source\": 5, \"target\": 8}, {\"weight\": 7098, \"source\": 6, \"target\": 7}, {\"weight\": 14382, \"source\": 6, \"target\": 8}, {\"weight\": 15620, \"source\": 7, \"target\": 8}]}",
"id": 2285,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PSJ, LDY, LLB, LFM, HNH, SVC, MMX, MBA, MAJ\n- Travel distances (in kilometers) between each pair of airports:\nPSJ to MBA: 10567\nPSJ to MMX: 12351\nPSJ to LLB: 4335\nPSJ to LFM: 8456\nPSJ to LDY: 13499\nPSJ to HNH: 15112\nPSJ to MAJ: 8681\nPSJ to SVC: 15538\nLDY to MBA: 7860\nLDY to MMX: 1553\nLDY to LLB: 10340\nLDY to LFM: 5766\nLDY to HNH: 9396\nLDY to MAJ: 15661\nLDY to SVC: 9004\nLLB to MBA: 9677\nLLB to MMX: 9175\nLLB to LFM: 6724\nLLB to HNH: 12469\nLLB to MAJ: 7336\nLLB to SVC: 13028\nLFM to MBA: 3993\nLFM to MMX: 4712\nLFM to HNH: 13763\nLFM to MAJ: 12864\nLFM to SVC: 13922\nHNH to MBA: 16419\nHNH to MMX: 9999\nHNH to MAJ: 9113\nHNH to SVC: 3667\nSVC to MBA: 16095\nSVC to MMX: 9736\nSVC to MAJ: 8726\nMMX to MBA: 7098\nMMX to MAJ: 14382\nMBA to MAJ: 15620\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: MZL, SBN, LSC, MEM, KBV, MLH, AGA, NDJ, YYC\n- Travel distances (in kilometers) between each pair of airports:\nMZL to YYC: 6519\nMZL to NDJ: 11574\nMZL to MEM: 3969\nMZL to MLH: 9187\nMZL to SBN: 4438\nMZL to KBV: 18772\nMZL to AGA: 7543\nMZL to LSC: 4140\nSBN to YYC: 2348\nSBN to NDJ: 10598\nSBN to MEM: 925\nSBN to MLH: 7028\nSBN to KBV: 14661\nSBN to AGA: 7155\nSBN to LSC: 8222\nLSC to YYC: 10049\nLSC to NDJ: 10782\nLSC to MEM: 7715\nLSC to MLH: 11961\nLSC to KBV: 18952\nLSC to AGA: 10313\nMEM to YYC: 2816\nMEM to NDJ: 11159\nMEM to MLH: 7746\nMEM to KBV: 15318\nMEM to AGA: 7726\nKBV to YYC: 13143\nKBV to NDJ: 9808\nKBV to MLH: 9986\nKBV to AGA: 11833\nMLH to YYC: 7782\nMLH to NDJ: 4950\nMLH to AGA: 2404\nAGA to YYC: 9059\nAGA to NDJ: 4201\nNDJ to YYC: 11620\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 51898,
"style": "rule"
}
|
{
"exact_answer": 51898,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"MZL\", \"id\": 0}, {\"name\": \"SBN\", \"id\": 1}, {\"name\": \"LSC\", \"id\": 2}, {\"name\": \"MEM\", \"id\": 3}, {\"name\": \"KBV\", \"id\": 4}, {\"name\": \"MLH\", \"id\": 5}, {\"name\": \"AGA\", \"id\": 6}, {\"name\": \"NDJ\", \"id\": 7}, {\"name\": \"YYC\", \"id\": 8}], \"links\": [{\"weight\": 6519, \"source\": 0, \"target\": 8}, {\"weight\": 11574, \"source\": 0, \"target\": 7}, {\"weight\": 3969, \"source\": 0, \"target\": 3}, {\"weight\": 9187, \"source\": 0, \"target\": 5}, {\"weight\": 4438, \"source\": 0, \"target\": 1}, {\"weight\": 18772, \"source\": 0, \"target\": 4}, {\"weight\": 7543, \"source\": 0, \"target\": 6}, {\"weight\": 4140, \"source\": 0, \"target\": 2}, {\"weight\": 2348, \"source\": 1, \"target\": 8}, {\"weight\": 10598, \"source\": 1, \"target\": 7}, {\"weight\": 925, \"source\": 1, \"target\": 3}, {\"weight\": 7028, \"source\": 1, \"target\": 5}, {\"weight\": 14661, \"source\": 1, \"target\": 4}, {\"weight\": 7155, \"source\": 1, \"target\": 6}, {\"weight\": 8222, \"source\": 1, \"target\": 2}, {\"weight\": 10049, \"source\": 2, \"target\": 8}, {\"weight\": 10782, \"source\": 2, \"target\": 7}, {\"weight\": 7715, \"source\": 2, \"target\": 3}, {\"weight\": 11961, \"source\": 2, \"target\": 5}, {\"weight\": 18952, \"source\": 2, \"target\": 4}, {\"weight\": 10313, \"source\": 2, \"target\": 6}, {\"weight\": 2816, \"source\": 3, \"target\": 8}, {\"weight\": 11159, \"source\": 3, \"target\": 7}, {\"weight\": 7746, \"source\": 3, \"target\": 5}, {\"weight\": 15318, \"source\": 3, \"target\": 4}, {\"weight\": 7726, \"source\": 3, \"target\": 6}, {\"weight\": 13143, \"source\": 4, \"target\": 8}, {\"weight\": 9808, \"source\": 4, \"target\": 7}, {\"weight\": 9986, \"source\": 4, \"target\": 5}, {\"weight\": 11833, \"source\": 4, \"target\": 6}, {\"weight\": 7782, \"source\": 5, \"target\": 8}, {\"weight\": 4950, \"source\": 5, \"target\": 7}, {\"weight\": 2404, \"source\": 5, \"target\": 6}, {\"weight\": 9059, \"source\": 6, \"target\": 8}, {\"weight\": 4201, \"source\": 6, \"target\": 7}, {\"weight\": 11620, \"source\": 7, \"target\": 8}]}",
"id": 2286,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: MZL, SBN, LSC, MEM, KBV, MLH, AGA, NDJ, YYC\n- Travel distances (in kilometers) between each pair of airports:\nMZL to YYC: 6519\nMZL to NDJ: 11574\nMZL to MEM: 3969\nMZL to MLH: 9187\nMZL to SBN: 4438\nMZL to KBV: 18772\nMZL to AGA: 7543\nMZL to LSC: 4140\nSBN to YYC: 2348\nSBN to NDJ: 10598\nSBN to MEM: 925\nSBN to MLH: 7028\nSBN to KBV: 14661\nSBN to AGA: 7155\nSBN to LSC: 8222\nLSC to YYC: 10049\nLSC to NDJ: 10782\nLSC to MEM: 7715\nLSC to MLH: 11961\nLSC to KBV: 18952\nLSC to AGA: 10313\nMEM to YYC: 2816\nMEM to NDJ: 11159\nMEM to MLH: 7746\nMEM to KBV: 15318\nMEM to AGA: 7726\nKBV to YYC: 13143\nKBV to NDJ: 9808\nKBV to MLH: 9986\nKBV to AGA: 11833\nMLH to YYC: 7782\nMLH to NDJ: 4950\nMLH to AGA: 2404\nAGA to YYC: 9059\nAGA to NDJ: 4201\nNDJ to YYC: 11620\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SMA, PQC, PGA, DPO, PRA, YQF, VNO, NOV, AFZ\n- Travel distances (in kilometers) between each pair of airports:\nSMA to PRA: 10334\nSMA to VNO: 4331\nSMA to YQF: 7416\nSMA to PQC: 13063\nSMA to NOV: 7713\nSMA to AFZ: 7257\nSMA to PGA: 7393\nSMA to DPO: 19606\nPQC to PRA: 19359\nPQC to VNO: 8737\nPQC to YQF: 12747\nPQC to NOV: 11509\nPQC to AFZ: 7129\nPQC to PGA: 14154\nPQC to DPO: 7410\nPGA to PRA: 10183\nPGA to VNO: 9228\nPGA to YQF: 2238\nPGA to NOV: 14401\nPGA to AFZ: 13136\nPGA to DPO: 13892\nDPO to PRA: 13965\nDPO to VNO: 15600\nDPO to YQF: 14358\nDPO to NOV: 14316\nDPO to AFZ: 13787\nPRA to VNO: 13075\nPRA to YQF: 11525\nPRA to NOV: 9047\nPRA to AFZ: 15086\nYQF to VNO: 8113\nYQF to NOV: 14406\nYQF to AFZ: 12021\nVNO to NOV: 7819\nVNO to AFZ: 3926\nNOV to AFZ: 7769\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 65996,
"style": "rule"
}
|
{
"exact_answer": 65996,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"SMA\", \"id\": 0}, {\"name\": \"PQC\", \"id\": 1}, {\"name\": \"PGA\", \"id\": 2}, {\"name\": \"DPO\", \"id\": 3}, {\"name\": \"PRA\", \"id\": 4}, {\"name\": \"YQF\", \"id\": 5}, {\"name\": \"VNO\", \"id\": 6}, {\"name\": \"NOV\", \"id\": 7}, {\"name\": \"AFZ\", \"id\": 8}], \"links\": [{\"weight\": 10334, \"source\": 0, \"target\": 4}, {\"weight\": 4331, \"source\": 0, \"target\": 6}, {\"weight\": 7416, \"source\": 0, \"target\": 5}, {\"weight\": 13063, \"source\": 0, \"target\": 1}, {\"weight\": 7713, \"source\": 0, \"target\": 7}, {\"weight\": 7257, \"source\": 0, \"target\": 8}, {\"weight\": 7393, \"source\": 0, \"target\": 2}, {\"weight\": 19606, \"source\": 0, \"target\": 3}, {\"weight\": 19359, \"source\": 1, \"target\": 4}, {\"weight\": 8737, \"source\": 1, \"target\": 6}, {\"weight\": 12747, \"source\": 1, \"target\": 5}, {\"weight\": 11509, \"source\": 1, \"target\": 7}, {\"weight\": 7129, \"source\": 1, \"target\": 8}, {\"weight\": 14154, \"source\": 1, \"target\": 2}, {\"weight\": 7410, \"source\": 1, \"target\": 3}, {\"weight\": 10183, \"source\": 2, \"target\": 4}, {\"weight\": 9228, \"source\": 2, \"target\": 6}, {\"weight\": 2238, \"source\": 2, \"target\": 5}, {\"weight\": 14401, \"source\": 2, \"target\": 7}, {\"weight\": 13136, \"source\": 2, \"target\": 8}, {\"weight\": 13892, \"source\": 2, \"target\": 3}, {\"weight\": 13965, \"source\": 3, \"target\": 4}, {\"weight\": 15600, \"source\": 3, \"target\": 6}, {\"weight\": 14358, \"source\": 3, \"target\": 5}, {\"weight\": 14316, \"source\": 3, \"target\": 7}, {\"weight\": 13787, \"source\": 3, \"target\": 8}, {\"weight\": 13075, \"source\": 4, \"target\": 6}, {\"weight\": 11525, \"source\": 4, \"target\": 5}, {\"weight\": 9047, \"source\": 4, \"target\": 7}, {\"weight\": 15086, \"source\": 4, \"target\": 8}, {\"weight\": 8113, \"source\": 5, \"target\": 6}, {\"weight\": 14406, \"source\": 5, \"target\": 7}, {\"weight\": 12021, \"source\": 5, \"target\": 8}, {\"weight\": 7819, \"source\": 6, \"target\": 7}, {\"weight\": 3926, \"source\": 6, \"target\": 8}, {\"weight\": 7769, \"source\": 7, \"target\": 8}]}",
"id": 2287,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SMA, PQC, PGA, DPO, PRA, YQF, VNO, NOV, AFZ\n- Travel distances (in kilometers) between each pair of airports:\nSMA to PRA: 10334\nSMA to VNO: 4331\nSMA to YQF: 7416\nSMA to PQC: 13063\nSMA to NOV: 7713\nSMA to AFZ: 7257\nSMA to PGA: 7393\nSMA to DPO: 19606\nPQC to PRA: 19359\nPQC to VNO: 8737\nPQC to YQF: 12747\nPQC to NOV: 11509\nPQC to AFZ: 7129\nPQC to PGA: 14154\nPQC to DPO: 7410\nPGA to PRA: 10183\nPGA to VNO: 9228\nPGA to YQF: 2238\nPGA to NOV: 14401\nPGA to AFZ: 13136\nPGA to DPO: 13892\nDPO to PRA: 13965\nDPO to VNO: 15600\nDPO to YQF: 14358\nDPO to NOV: 14316\nDPO to AFZ: 13787\nPRA to VNO: 13075\nPRA to YQF: 11525\nPRA to NOV: 9047\nPRA to AFZ: 15086\nYQF to VNO: 8113\nYQF to NOV: 14406\nYQF to AFZ: 12021\nVNO to NOV: 7819\nVNO to AFZ: 3926\nNOV to AFZ: 7769\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: MRA, BRO, MEM, SVX, TUL, ITB, LIM, BMI, CMB\n- Travel distances (in kilometers) between each pair of airports:\nMRA to SVX: 4427\nMRA to LIM: 11456\nMRA to MEM: 9224\nMRA to CMB: 7222\nMRA to BMI: 8790\nMRA to BRO: 10451\nMRA to TUL: 9556\nMRA to ITB: 9680\nBRO to SVX: 11261\nBRO to LIM: 5559\nBRO to MEM: 1251\nBRO to CMB: 16404\nBRO to BMI: 1888\nBRO to TUL: 1159\nBRO to ITB: 6713\nMEM to SVX: 10016\nMEM to LIM: 5540\nMEM to CMB: 15208\nMEM to BMI: 978\nMEM to TUL: 1074\nMEM to ITB: 6090\nSVX to LIM: 14034\nSVX to CMB: 5801\nSVX to BMI: 9530\nSVX to TUL: 10284\nSVX to ITB: 12767\nTUL to LIM: 5754\nTUL to CMB: 15358\nTUL to BMI: 1128\nTUL to ITB: 6585\nITB to LIM: 5525\nITB to CMB: 16296\nITB to BMI: 6522\nLIM to CMB: 17676\nLIM to BMI: 5993\nBMI to CMB: 14604\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 46528,
"style": "rule"
}
|
{
"exact_answer": 46528,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"MRA\", \"id\": 0}, {\"name\": \"BRO\", \"id\": 1}, {\"name\": \"MEM\", \"id\": 2}, {\"name\": \"SVX\", \"id\": 3}, {\"name\": \"TUL\", \"id\": 4}, {\"name\": \"ITB\", \"id\": 5}, {\"name\": \"LIM\", \"id\": 6}, {\"name\": \"BMI\", \"id\": 7}, {\"name\": \"CMB\", \"id\": 8}], \"links\": [{\"weight\": 4427, \"source\": 0, \"target\": 3}, {\"weight\": 11456, \"source\": 0, \"target\": 6}, {\"weight\": 9224, \"source\": 0, \"target\": 2}, {\"weight\": 7222, \"source\": 0, \"target\": 8}, {\"weight\": 8790, \"source\": 0, \"target\": 7}, {\"weight\": 10451, \"source\": 0, \"target\": 1}, {\"weight\": 9556, \"source\": 0, \"target\": 4}, {\"weight\": 9680, \"source\": 0, \"target\": 5}, {\"weight\": 11261, \"source\": 1, \"target\": 3}, {\"weight\": 5559, \"source\": 1, \"target\": 6}, {\"weight\": 1251, \"source\": 1, \"target\": 2}, {\"weight\": 16404, \"source\": 1, \"target\": 8}, {\"weight\": 1888, \"source\": 1, \"target\": 7}, {\"weight\": 1159, \"source\": 1, \"target\": 4}, {\"weight\": 6713, \"source\": 1, \"target\": 5}, {\"weight\": 10016, \"source\": 2, \"target\": 3}, {\"weight\": 5540, \"source\": 2, \"target\": 6}, {\"weight\": 15208, \"source\": 2, \"target\": 8}, {\"weight\": 978, \"source\": 2, \"target\": 7}, {\"weight\": 1074, \"source\": 2, \"target\": 4}, {\"weight\": 6090, \"source\": 2, \"target\": 5}, {\"weight\": 14034, \"source\": 3, \"target\": 6}, {\"weight\": 5801, \"source\": 3, \"target\": 8}, {\"weight\": 9530, \"source\": 3, \"target\": 7}, {\"weight\": 10284, \"source\": 3, \"target\": 4}, {\"weight\": 12767, \"source\": 3, \"target\": 5}, {\"weight\": 5754, \"source\": 4, \"target\": 6}, {\"weight\": 15358, \"source\": 4, \"target\": 8}, {\"weight\": 1128, \"source\": 4, \"target\": 7}, {\"weight\": 6585, \"source\": 4, \"target\": 5}, {\"weight\": 5525, \"source\": 5, \"target\": 6}, {\"weight\": 16296, \"source\": 5, \"target\": 8}, {\"weight\": 6522, \"source\": 5, \"target\": 7}, {\"weight\": 17676, \"source\": 6, \"target\": 8}, {\"weight\": 5993, \"source\": 6, \"target\": 7}, {\"weight\": 14604, \"source\": 7, \"target\": 8}]}",
"id": 2288,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: MRA, BRO, MEM, SVX, TUL, ITB, LIM, BMI, CMB\n- Travel distances (in kilometers) between each pair of airports:\nMRA to SVX: 4427\nMRA to LIM: 11456\nMRA to MEM: 9224\nMRA to CMB: 7222\nMRA to BMI: 8790\nMRA to BRO: 10451\nMRA to TUL: 9556\nMRA to ITB: 9680\nBRO to SVX: 11261\nBRO to LIM: 5559\nBRO to MEM: 1251\nBRO to CMB: 16404\nBRO to BMI: 1888\nBRO to TUL: 1159\nBRO to ITB: 6713\nMEM to SVX: 10016\nMEM to LIM: 5540\nMEM to CMB: 15208\nMEM to BMI: 978\nMEM to TUL: 1074\nMEM to ITB: 6090\nSVX to LIM: 14034\nSVX to CMB: 5801\nSVX to BMI: 9530\nSVX to TUL: 10284\nSVX to ITB: 12767\nTUL to LIM: 5754\nTUL to CMB: 15358\nTUL to BMI: 1128\nTUL to ITB: 6585\nITB to LIM: 5525\nITB to CMB: 16296\nITB to BMI: 6522\nLIM to CMB: 17676\nLIM to BMI: 5993\nBMI to CMB: 14604\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LRD, MCZ, ELV, WJU, LRE, IWK, BSB, BWT, BFJ\n- Travel distances (in kilometers) between each pair of airports:\nLRD to BSB: 7777\nLRD to MCZ: 8398\nLRD to BFJ: 13592\nLRD to LRE: 14659\nLRD to ELV: 4716\nLRD to WJU: 12320\nLRD to IWK: 11410\nLRD to BWT: 15247\nMCZ to BSB: 1493\nMCZ to BFJ: 16248\nMCZ to LRE: 17401\nMCZ to ELV: 12309\nMCZ to WJU: 17275\nMCZ to IWK: 17897\nMCZ to BWT: 16854\nELV to BSB: 11751\nELV to BFJ: 12006\nELV to LRE: 14036\nELV to WJU: 10834\nELV to IWK: 9981\nELV to BWT: 14715\nWJU to BSB: 18543\nWJU to BFJ: 2682\nWJU to LRE: 7833\nWJU to IWK: 2401\nWJU to BWT: 9364\nLRE to BSB: 16404\nLRE to BFJ: 7567\nLRE to IWK: 7841\nLRE to BWT: 2747\nIWK to BSB: 18602\nIWK to BFJ: 4093\nIWK to BWT: 9562\nBSB to BFJ: 17525\nBSB to BWT: 15857\nBWT to BFJ: 8819\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 55842,
"style": "rule"
}
|
{
"exact_answer": 55842,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"LRD\", \"id\": 0}, {\"name\": \"MCZ\", \"id\": 1}, {\"name\": \"ELV\", \"id\": 2}, {\"name\": \"WJU\", \"id\": 3}, {\"name\": \"LRE\", \"id\": 4}, {\"name\": \"IWK\", \"id\": 5}, {\"name\": \"BSB\", \"id\": 6}, {\"name\": \"BWT\", \"id\": 7}, {\"name\": \"BFJ\", \"id\": 8}], \"links\": [{\"weight\": 7777, \"source\": 0, \"target\": 6}, {\"weight\": 8398, \"source\": 0, \"target\": 1}, {\"weight\": 13592, \"source\": 0, \"target\": 8}, {\"weight\": 14659, \"source\": 0, \"target\": 4}, {\"weight\": 4716, \"source\": 0, \"target\": 2}, {\"weight\": 12320, \"source\": 0, \"target\": 3}, {\"weight\": 11410, \"source\": 0, \"target\": 5}, {\"weight\": 15247, \"source\": 0, \"target\": 7}, {\"weight\": 1493, \"source\": 1, \"target\": 6}, {\"weight\": 16248, \"source\": 1, \"target\": 8}, {\"weight\": 17401, \"source\": 1, \"target\": 4}, {\"weight\": 12309, \"source\": 1, \"target\": 2}, {\"weight\": 17275, \"source\": 1, \"target\": 3}, {\"weight\": 17897, \"source\": 1, \"target\": 5}, {\"weight\": 16854, \"source\": 1, \"target\": 7}, {\"weight\": 11751, \"source\": 2, \"target\": 6}, {\"weight\": 12006, \"source\": 2, \"target\": 8}, {\"weight\": 14036, \"source\": 2, \"target\": 4}, {\"weight\": 10834, \"source\": 2, \"target\": 3}, {\"weight\": 9981, \"source\": 2, \"target\": 5}, {\"weight\": 14715, \"source\": 2, \"target\": 7}, {\"weight\": 18543, \"source\": 3, \"target\": 6}, {\"weight\": 2682, \"source\": 3, \"target\": 8}, {\"weight\": 7833, \"source\": 3, \"target\": 4}, {\"weight\": 2401, \"source\": 3, \"target\": 5}, {\"weight\": 9364, \"source\": 3, \"target\": 7}, {\"weight\": 16404, \"source\": 4, \"target\": 6}, {\"weight\": 7567, \"source\": 4, \"target\": 8}, {\"weight\": 7841, \"source\": 4, \"target\": 5}, {\"weight\": 2747, \"source\": 4, \"target\": 7}, {\"weight\": 18602, \"source\": 5, \"target\": 6}, {\"weight\": 4093, \"source\": 5, \"target\": 8}, {\"weight\": 9562, \"source\": 5, \"target\": 7}, {\"weight\": 17525, \"source\": 6, \"target\": 8}, {\"weight\": 15857, \"source\": 6, \"target\": 7}, {\"weight\": 8819, \"source\": 7, \"target\": 8}]}",
"id": 2289,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LRD, MCZ, ELV, WJU, LRE, IWK, BSB, BWT, BFJ\n- Travel distances (in kilometers) between each pair of airports:\nLRD to BSB: 7777\nLRD to MCZ: 8398\nLRD to BFJ: 13592\nLRD to LRE: 14659\nLRD to ELV: 4716\nLRD to WJU: 12320\nLRD to IWK: 11410\nLRD to BWT: 15247\nMCZ to BSB: 1493\nMCZ to BFJ: 16248\nMCZ to LRE: 17401\nMCZ to ELV: 12309\nMCZ to WJU: 17275\nMCZ to IWK: 17897\nMCZ to BWT: 16854\nELV to BSB: 11751\nELV to BFJ: 12006\nELV to LRE: 14036\nELV to WJU: 10834\nELV to IWK: 9981\nELV to BWT: 14715\nWJU to BSB: 18543\nWJU to BFJ: 2682\nWJU to LRE: 7833\nWJU to IWK: 2401\nWJU to BWT: 9364\nLRE to BSB: 16404\nLRE to BFJ: 7567\nLRE to IWK: 7841\nLRE to BWT: 2747\nIWK to BSB: 18602\nIWK to BFJ: 4093\nIWK to BWT: 9562\nBSB to BFJ: 17525\nBSB to BWT: 15857\nBWT to BFJ: 8819\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: FTA, WMR, MEI, EOH, JFK, LYR, SGG, VGZ, PVC\n- Travel distances (in kilometers) between each pair of airports:\nFTA to MEI: 13732\nFTA to JFK: 14153\nFTA to PVC: 14442\nFTA to EOH: 15802\nFTA to VGZ: 16416\nFTA to LYR: 18060\nFTA to SGG: 18667\nFTA to WMR: 12870\nWMR to MEI: 16132\nWMR to JFK: 14753\nWMR to PVC: 14788\nWMR to EOH: 14577\nWMR to VGZ: 14981\nWMR to LYR: 11690\nWMR to SGG: 13545\nMEI to JFK: 1649\nMEI to PVC: 2020\nMEI to EOH: 3985\nMEI to VGZ: 4453\nMEI to LYR: 9144\nMEI to SGG: 7970\nEOH to JFK: 4229\nEOH to PVC: 4570\nEOH to VGZ: 870\nEOH to LYR: 11736\nEOH to SGG: 10562\nJFK to PVC: 372\nJFK to VGZ: 4633\nJFK to LYR: 7527\nJFK to SGG: 6353\nLYR to PVC: 7310\nLYR to VGZ: 12140\nLYR to SGG: 5554\nSGG to PVC: 6136\nSGG to VGZ: 10966\nVGZ to PVC: 4974\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 59396,
"style": "rule"
}
|
{
"exact_answer": 59396,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"FTA\", \"id\": 0}, {\"name\": \"WMR\", \"id\": 1}, {\"name\": \"MEI\", \"id\": 2}, {\"name\": \"EOH\", \"id\": 3}, {\"name\": \"JFK\", \"id\": 4}, {\"name\": \"LYR\", \"id\": 5}, {\"name\": \"SGG\", \"id\": 6}, {\"name\": \"VGZ\", \"id\": 7}, {\"name\": \"PVC\", \"id\": 8}], \"links\": [{\"weight\": 13732, \"source\": 0, \"target\": 2}, {\"weight\": 14153, \"source\": 0, \"target\": 4}, {\"weight\": 14442, \"source\": 0, \"target\": 8}, {\"weight\": 15802, \"source\": 0, \"target\": 3}, {\"weight\": 16416, \"source\": 0, \"target\": 7}, {\"weight\": 18060, \"source\": 0, \"target\": 5}, {\"weight\": 18667, \"source\": 0, \"target\": 6}, {\"weight\": 12870, \"source\": 0, \"target\": 1}, {\"weight\": 16132, \"source\": 1, \"target\": 2}, {\"weight\": 14753, \"source\": 1, \"target\": 4}, {\"weight\": 14788, \"source\": 1, \"target\": 8}, {\"weight\": 14577, \"source\": 1, \"target\": 3}, {\"weight\": 14981, \"source\": 1, \"target\": 7}, {\"weight\": 11690, \"source\": 1, \"target\": 5}, {\"weight\": 13545, \"source\": 1, \"target\": 6}, {\"weight\": 1649, \"source\": 2, \"target\": 4}, {\"weight\": 2020, \"source\": 2, \"target\": 8}, {\"weight\": 3985, \"source\": 2, \"target\": 3}, {\"weight\": 4453, \"source\": 2, \"target\": 7}, {\"weight\": 9144, \"source\": 2, \"target\": 5}, {\"weight\": 7970, \"source\": 2, \"target\": 6}, {\"weight\": 4229, \"source\": 3, \"target\": 4}, {\"weight\": 4570, \"source\": 3, \"target\": 8}, {\"weight\": 870, \"source\": 3, \"target\": 7}, {\"weight\": 11736, \"source\": 3, \"target\": 5}, {\"weight\": 10562, \"source\": 3, \"target\": 6}, {\"weight\": 372, \"source\": 4, \"target\": 8}, {\"weight\": 4633, \"source\": 4, \"target\": 7}, {\"weight\": 7527, \"source\": 4, \"target\": 5}, {\"weight\": 6353, \"source\": 4, \"target\": 6}, {\"weight\": 7310, \"source\": 5, \"target\": 8}, {\"weight\": 12140, \"source\": 5, \"target\": 7}, {\"weight\": 5554, \"source\": 5, \"target\": 6}, {\"weight\": 6136, \"source\": 6, \"target\": 8}, {\"weight\": 10966, \"source\": 6, \"target\": 7}, {\"weight\": 4974, \"source\": 7, \"target\": 8}]}",
"id": 2290,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: FTA, WMR, MEI, EOH, JFK, LYR, SGG, VGZ, PVC\n- Travel distances (in kilometers) between each pair of airports:\nFTA to MEI: 13732\nFTA to JFK: 14153\nFTA to PVC: 14442\nFTA to EOH: 15802\nFTA to VGZ: 16416\nFTA to LYR: 18060\nFTA to SGG: 18667\nFTA to WMR: 12870\nWMR to MEI: 16132\nWMR to JFK: 14753\nWMR to PVC: 14788\nWMR to EOH: 14577\nWMR to VGZ: 14981\nWMR to LYR: 11690\nWMR to SGG: 13545\nMEI to JFK: 1649\nMEI to PVC: 2020\nMEI to EOH: 3985\nMEI to VGZ: 4453\nMEI to LYR: 9144\nMEI to SGG: 7970\nEOH to JFK: 4229\nEOH to PVC: 4570\nEOH to VGZ: 870\nEOH to LYR: 11736\nEOH to SGG: 10562\nJFK to PVC: 372\nJFK to VGZ: 4633\nJFK to LYR: 7527\nJFK to SGG: 6353\nLYR to PVC: 7310\nLYR to VGZ: 12140\nLYR to SGG: 5554\nSGG to PVC: 6136\nSGG to VGZ: 10966\nVGZ to PVC: 4974\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SAN, GYE, PMZ, BEB, SCK, GDE, AJR, IQT, BJZ\n- Travel distances (in kilometers) between each pair of airports:\nSAN to IQT: 6321\nSAN to GYE: 5596\nSAN to AJR: 9701\nSAN to PMZ: 4381\nSAN to BEB: 8697\nSAN to GDE: 15460\nSAN to SCK: 992\nSAN to BJZ: 9842\nGYE to IQT: 2145\nGYE to AJR: 11518\nGYE to PMZ: 1929\nGYE to BEB: 10005\nGYE to GDE: 15322\nGYE to SCK: 6268\nGYE to BJZ: 9343\nPMZ to IQT: 2260\nPMZ to AJR: 10604\nPMZ to BEB: 9092\nPMZ to GDE: 15106\nPMZ to SCK: 5053\nPMZ to BJZ: 8970\nBEB to IQT: 10516\nBEB to AJR: 2233\nBEB to GDE: 7418\nBEB to SCK: 8911\nBEB to BJZ: 2307\nSCK to IQT: 6852\nSCK to AJR: 10116\nSCK to GDE: 15620\nSCK to BJZ: 10081\nGDE to IQT: 15260\nGDE to AJR: 7166\nGDE to BJZ: 6794\nAJR to IQT: 12029\nAJR to BJZ: 3593\nIQT to BJZ: 10066\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 44225,
"style": "rule"
}
|
{
"exact_answer": 44225,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"SAN\", \"id\": 0}, {\"name\": \"GYE\", \"id\": 1}, {\"name\": \"PMZ\", \"id\": 2}, {\"name\": \"BEB\", \"id\": 3}, {\"name\": \"SCK\", \"id\": 4}, {\"name\": \"GDE\", \"id\": 5}, {\"name\": \"AJR\", \"id\": 6}, {\"name\": \"IQT\", \"id\": 7}, {\"name\": \"BJZ\", \"id\": 8}], \"links\": [{\"weight\": 6321, \"source\": 0, \"target\": 7}, {\"weight\": 5596, \"source\": 0, \"target\": 1}, {\"weight\": 9701, \"source\": 0, \"target\": 6}, {\"weight\": 4381, \"source\": 0, \"target\": 2}, {\"weight\": 8697, \"source\": 0, \"target\": 3}, {\"weight\": 15460, \"source\": 0, \"target\": 5}, {\"weight\": 992, \"source\": 0, \"target\": 4}, {\"weight\": 9842, \"source\": 0, \"target\": 8}, {\"weight\": 2145, \"source\": 1, \"target\": 7}, {\"weight\": 11518, \"source\": 1, \"target\": 6}, {\"weight\": 1929, \"source\": 1, \"target\": 2}, {\"weight\": 10005, \"source\": 1, \"target\": 3}, {\"weight\": 15322, \"source\": 1, \"target\": 5}, {\"weight\": 6268, \"source\": 1, \"target\": 4}, {\"weight\": 9343, \"source\": 1, \"target\": 8}, {\"weight\": 2260, \"source\": 2, \"target\": 7}, {\"weight\": 10604, \"source\": 2, \"target\": 6}, {\"weight\": 9092, \"source\": 2, \"target\": 3}, {\"weight\": 15106, \"source\": 2, \"target\": 5}, {\"weight\": 5053, \"source\": 2, \"target\": 4}, {\"weight\": 8970, \"source\": 2, \"target\": 8}, {\"weight\": 10516, \"source\": 3, \"target\": 7}, {\"weight\": 2233, \"source\": 3, \"target\": 6}, {\"weight\": 7418, \"source\": 3, \"target\": 5}, {\"weight\": 8911, \"source\": 3, \"target\": 4}, {\"weight\": 2307, \"source\": 3, \"target\": 8}, {\"weight\": 6852, \"source\": 4, \"target\": 7}, {\"weight\": 10116, \"source\": 4, \"target\": 6}, {\"weight\": 15620, \"source\": 4, \"target\": 5}, {\"weight\": 10081, \"source\": 4, \"target\": 8}, {\"weight\": 15260, \"source\": 5, \"target\": 7}, {\"weight\": 7166, \"source\": 5, \"target\": 6}, {\"weight\": 6794, \"source\": 5, \"target\": 8}, {\"weight\": 12029, \"source\": 6, \"target\": 7}, {\"weight\": 3593, \"source\": 6, \"target\": 8}, {\"weight\": 10066, \"source\": 7, \"target\": 8}]}",
"id": 2291,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SAN, GYE, PMZ, BEB, SCK, GDE, AJR, IQT, BJZ\n- Travel distances (in kilometers) between each pair of airports:\nSAN to IQT: 6321\nSAN to GYE: 5596\nSAN to AJR: 9701\nSAN to PMZ: 4381\nSAN to BEB: 8697\nSAN to GDE: 15460\nSAN to SCK: 992\nSAN to BJZ: 9842\nGYE to IQT: 2145\nGYE to AJR: 11518\nGYE to PMZ: 1929\nGYE to BEB: 10005\nGYE to GDE: 15322\nGYE to SCK: 6268\nGYE to BJZ: 9343\nPMZ to IQT: 2260\nPMZ to AJR: 10604\nPMZ to BEB: 9092\nPMZ to GDE: 15106\nPMZ to SCK: 5053\nPMZ to BJZ: 8970\nBEB to IQT: 10516\nBEB to AJR: 2233\nBEB to GDE: 7418\nBEB to SCK: 8911\nBEB to BJZ: 2307\nSCK to IQT: 6852\nSCK to AJR: 10116\nSCK to GDE: 15620\nSCK to BJZ: 10081\nGDE to IQT: 15260\nGDE to AJR: 7166\nGDE to BJZ: 6794\nAJR to IQT: 12029\nAJR to BJZ: 3593\nIQT to BJZ: 10066\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: UVF, STC, WMN, YEK, TCG, KCC, URT, BSO, ATW\n- Travel distances (in kilometers) between each pair of airports:\nUVF to BSO: 17605\nUVF to YEK: 6481\nUVF to ATW: 4338\nUVF to URT: 16895\nUVF to TCG: 13438\nUVF to STC: 4713\nUVF to KCC: 7938\nUVF to WMN: 14488\nSTC to BSO: 14425\nSTC to YEK: 3034\nSTC to ATW: 891\nSTC to URT: 15045\nSTC to TCG: 12881\nSTC to KCC: 4587\nSTC to WMN: 16106\nWMN to BSO: 9844\nWMN to YEK: 16799\nWMN to ATW: 15599\nWMN to URT: 7451\nWMN to TCG: 9672\nWMN to KCC: 18090\nYEK to BSO: 14119\nYEK to ATW: 2277\nYEK to URT: 15469\nYEK to TCG: 14269\nYEK to KCC: 4373\nTCG to BSO: 5668\nTCG to ATW: 12459\nTCG to URT: 4955\nTCG to KCC: 12748\nKCC to BSO: 12567\nKCC to ATW: 3814\nKCC to URT: 13722\nURT to BSO: 3388\nURT to ATW: 14670\nBSO to ATW: 13649\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 55997,
"style": "rule"
}
|
{
"exact_answer": 55997,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"UVF\", \"id\": 0}, {\"name\": \"STC\", \"id\": 1}, {\"name\": \"WMN\", \"id\": 2}, {\"name\": \"YEK\", \"id\": 3}, {\"name\": \"TCG\", \"id\": 4}, {\"name\": \"KCC\", \"id\": 5}, {\"name\": \"URT\", \"id\": 6}, {\"name\": \"BSO\", \"id\": 7}, {\"name\": \"ATW\", \"id\": 8}], \"links\": [{\"weight\": 17605, \"source\": 0, \"target\": 7}, {\"weight\": 6481, \"source\": 0, \"target\": 3}, {\"weight\": 4338, \"source\": 0, \"target\": 8}, {\"weight\": 16895, \"source\": 0, \"target\": 6}, {\"weight\": 13438, \"source\": 0, \"target\": 4}, {\"weight\": 4713, \"source\": 0, \"target\": 1}, {\"weight\": 7938, \"source\": 0, \"target\": 5}, {\"weight\": 14488, \"source\": 0, \"target\": 2}, {\"weight\": 14425, \"source\": 1, \"target\": 7}, {\"weight\": 3034, \"source\": 1, \"target\": 3}, {\"weight\": 891, \"source\": 1, \"target\": 8}, {\"weight\": 15045, \"source\": 1, \"target\": 6}, {\"weight\": 12881, \"source\": 1, \"target\": 4}, {\"weight\": 4587, \"source\": 1, \"target\": 5}, {\"weight\": 16106, \"source\": 1, \"target\": 2}, {\"weight\": 9844, \"source\": 2, \"target\": 7}, {\"weight\": 16799, \"source\": 2, \"target\": 3}, {\"weight\": 15599, \"source\": 2, \"target\": 8}, {\"weight\": 7451, \"source\": 2, \"target\": 6}, {\"weight\": 9672, \"source\": 2, \"target\": 4}, {\"weight\": 18090, \"source\": 2, \"target\": 5}, {\"weight\": 14119, \"source\": 3, \"target\": 7}, {\"weight\": 2277, \"source\": 3, \"target\": 8}, {\"weight\": 15469, \"source\": 3, \"target\": 6}, {\"weight\": 14269, \"source\": 3, \"target\": 4}, {\"weight\": 4373, \"source\": 3, \"target\": 5}, {\"weight\": 5668, \"source\": 4, \"target\": 7}, {\"weight\": 12459, \"source\": 4, \"target\": 8}, {\"weight\": 4955, \"source\": 4, \"target\": 6}, {\"weight\": 12748, \"source\": 4, \"target\": 5}, {\"weight\": 12567, \"source\": 5, \"target\": 7}, {\"weight\": 3814, \"source\": 5, \"target\": 8}, {\"weight\": 13722, \"source\": 5, \"target\": 6}, {\"weight\": 3388, \"source\": 6, \"target\": 7}, {\"weight\": 14670, \"source\": 6, \"target\": 8}, {\"weight\": 13649, \"source\": 7, \"target\": 8}]}",
"id": 2292,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: UVF, STC, WMN, YEK, TCG, KCC, URT, BSO, ATW\n- Travel distances (in kilometers) between each pair of airports:\nUVF to BSO: 17605\nUVF to YEK: 6481\nUVF to ATW: 4338\nUVF to URT: 16895\nUVF to TCG: 13438\nUVF to STC: 4713\nUVF to KCC: 7938\nUVF to WMN: 14488\nSTC to BSO: 14425\nSTC to YEK: 3034\nSTC to ATW: 891\nSTC to URT: 15045\nSTC to TCG: 12881\nSTC to KCC: 4587\nSTC to WMN: 16106\nWMN to BSO: 9844\nWMN to YEK: 16799\nWMN to ATW: 15599\nWMN to URT: 7451\nWMN to TCG: 9672\nWMN to KCC: 18090\nYEK to BSO: 14119\nYEK to ATW: 2277\nYEK to URT: 15469\nYEK to TCG: 14269\nYEK to KCC: 4373\nTCG to BSO: 5668\nTCG to ATW: 12459\nTCG to URT: 4955\nTCG to KCC: 12748\nKCC to BSO: 12567\nKCC to ATW: 3814\nKCC to URT: 13722\nURT to BSO: 3388\nURT to ATW: 14670\nBSO to ATW: 13649\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PDL, YBK, LQM, CUL, XBE, SNV, OAJ, NLA, DSA\n- Travel distances (in kilometers) between each pair of airports:\nPDL to CUL: 7821\nPDL to YBK: 7707\nPDL to LQM: 8424\nPDL to OAJ: 4934\nPDL to DSA: 3232\nPDL to NLA: 8628\nPDL to SNV: 7640\nPDL to XBE: 6124\nYBK to CUL: 5016\nYBK to LQM: 7805\nYBK to OAJ: 4107\nYBK to DSA: 8746\nYBK to NLA: 15726\nYBK to SNV: 7889\nYBK to XBE: 2521\nLQM to CUL: 4624\nLQM to OAJ: 4408\nLQM to DSA: 10040\nLQM to NLA: 13545\nLQM to SNV: 2746\nLQM to XBE: 6654\nCUL to OAJ: 3134\nCUL to DSA: 9757\nCUL to NLA: 15445\nCUL to SNV: 5604\nCUL to XBE: 4137\nXBE to OAJ: 2640\nXBE to DSA: 7899\nXBE to NLA: 14211\nXBE to SNV: 6475\nSNV to OAJ: 4394\nSNV to DSA: 8787\nSNV to NLA: 12809\nOAJ to DSA: 6909\nOAJ to NLA: 12802\nNLA to DSA: 8643\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 47165,
"style": "rule"
}
|
{
"exact_answer": 47165,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"PDL\", \"id\": 0}, {\"name\": \"YBK\", \"id\": 1}, {\"name\": \"LQM\", \"id\": 2}, {\"name\": \"CUL\", \"id\": 3}, {\"name\": \"XBE\", \"id\": 4}, {\"name\": \"SNV\", \"id\": 5}, {\"name\": \"OAJ\", \"id\": 6}, {\"name\": \"NLA\", \"id\": 7}, {\"name\": \"DSA\", \"id\": 8}], \"links\": [{\"weight\": 7821, \"source\": 0, \"target\": 3}, {\"weight\": 7707, \"source\": 0, \"target\": 1}, {\"weight\": 8424, \"source\": 0, \"target\": 2}, {\"weight\": 4934, \"source\": 0, \"target\": 6}, {\"weight\": 3232, \"source\": 0, \"target\": 8}, {\"weight\": 8628, \"source\": 0, \"target\": 7}, {\"weight\": 7640, \"source\": 0, \"target\": 5}, {\"weight\": 6124, \"source\": 0, \"target\": 4}, {\"weight\": 5016, \"source\": 1, \"target\": 3}, {\"weight\": 7805, \"source\": 1, \"target\": 2}, {\"weight\": 4107, \"source\": 1, \"target\": 6}, {\"weight\": 8746, \"source\": 1, \"target\": 8}, {\"weight\": 15726, \"source\": 1, \"target\": 7}, {\"weight\": 7889, \"source\": 1, \"target\": 5}, {\"weight\": 2521, \"source\": 1, \"target\": 4}, {\"weight\": 4624, \"source\": 2, \"target\": 3}, {\"weight\": 4408, \"source\": 2, \"target\": 6}, {\"weight\": 10040, \"source\": 2, \"target\": 8}, {\"weight\": 13545, \"source\": 2, \"target\": 7}, {\"weight\": 2746, \"source\": 2, \"target\": 5}, {\"weight\": 6654, \"source\": 2, \"target\": 4}, {\"weight\": 3134, \"source\": 3, \"target\": 6}, {\"weight\": 9757, \"source\": 3, \"target\": 8}, {\"weight\": 15445, \"source\": 3, \"target\": 7}, {\"weight\": 5604, \"source\": 3, \"target\": 5}, {\"weight\": 4137, \"source\": 3, \"target\": 4}, {\"weight\": 2640, \"source\": 4, \"target\": 6}, {\"weight\": 7899, \"source\": 4, \"target\": 8}, {\"weight\": 14211, \"source\": 4, \"target\": 7}, {\"weight\": 6475, \"source\": 4, \"target\": 5}, {\"weight\": 4394, \"source\": 5, \"target\": 6}, {\"weight\": 8787, \"source\": 5, \"target\": 8}, {\"weight\": 12809, \"source\": 5, \"target\": 7}, {\"weight\": 6909, \"source\": 6, \"target\": 8}, {\"weight\": 12802, \"source\": 6, \"target\": 7}, {\"weight\": 8643, \"source\": 7, \"target\": 8}]}",
"id": 2293,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PDL, YBK, LQM, CUL, XBE, SNV, OAJ, NLA, DSA\n- Travel distances (in kilometers) between each pair of airports:\nPDL to CUL: 7821\nPDL to YBK: 7707\nPDL to LQM: 8424\nPDL to OAJ: 4934\nPDL to DSA: 3232\nPDL to NLA: 8628\nPDL to SNV: 7640\nPDL to XBE: 6124\nYBK to CUL: 5016\nYBK to LQM: 7805\nYBK to OAJ: 4107\nYBK to DSA: 8746\nYBK to NLA: 15726\nYBK to SNV: 7889\nYBK to XBE: 2521\nLQM to CUL: 4624\nLQM to OAJ: 4408\nLQM to DSA: 10040\nLQM to NLA: 13545\nLQM to SNV: 2746\nLQM to XBE: 6654\nCUL to OAJ: 3134\nCUL to DSA: 9757\nCUL to NLA: 15445\nCUL to SNV: 5604\nCUL to XBE: 4137\nXBE to OAJ: 2640\nXBE to DSA: 7899\nXBE to NLA: 14211\nXBE to SNV: 6475\nSNV to OAJ: 4394\nSNV to DSA: 8787\nSNV to NLA: 12809\nOAJ to DSA: 6909\nOAJ to NLA: 12802\nNLA to DSA: 8643\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ASF, OGX, CFK, MDT, IXD, UST, JOE, DEN, IST\n- Travel distances (in kilometers) between each pair of airports:\nASF to IST: 2235\nASF to MDT: 9028\nASF to DEN: 10342\nASF to OGX: 4570\nASF to CFK: 4482\nASF to IXD: 4117\nASF to JOE: 2531\nASF to UST: 10973\nOGX to IST: 2798\nOGX to MDT: 7301\nOGX to DEN: 9430\nOGX to CFK: 2205\nOGX to IXD: 7963\nOGX to JOE: 3971\nOGX to UST: 9554\nCFK to IST: 2790\nCFK to MDT: 7593\nCFK to DEN: 9354\nCFK to IXD: 7955\nCFK to JOE: 3523\nCFK to UST: 9585\nMDT to DEN: 2366\nMDT to IST: 8251\nMDT to IXD: 12600\nMDT to JOE: 7215\nMDT to UST: 2401\nIXD to IST: 5165\nIXD to DEN: 13968\nIXD to JOE: 6157\nIXD to UST: 14444\nUST to IST: 10366\nUST to DEN: 3821\nUST to JOE: 9177\nJOE to IST: 2502\nJOE to DEN: 8529\nDEN to IST: 9835\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 38860,
"style": "rule"
}
|
{
"exact_answer": 38860,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"ASF\", \"id\": 0}, {\"name\": \"OGX\", \"id\": 1}, {\"name\": \"CFK\", \"id\": 2}, {\"name\": \"MDT\", \"id\": 3}, {\"name\": \"IXD\", \"id\": 4}, {\"name\": \"UST\", \"id\": 5}, {\"name\": \"JOE\", \"id\": 6}, {\"name\": \"DEN\", \"id\": 7}, {\"name\": \"IST\", \"id\": 8}], \"links\": [{\"weight\": 2235, \"source\": 0, \"target\": 8}, {\"weight\": 9028, \"source\": 0, \"target\": 3}, {\"weight\": 10342, \"source\": 0, \"target\": 7}, {\"weight\": 4570, \"source\": 0, \"target\": 1}, {\"weight\": 4482, \"source\": 0, \"target\": 2}, {\"weight\": 4117, \"source\": 0, \"target\": 4}, {\"weight\": 2531, \"source\": 0, \"target\": 6}, {\"weight\": 10973, \"source\": 0, \"target\": 5}, {\"weight\": 2798, \"source\": 1, \"target\": 8}, {\"weight\": 7301, \"source\": 1, \"target\": 3}, {\"weight\": 9430, \"source\": 1, \"target\": 7}, {\"weight\": 2205, \"source\": 1, \"target\": 2}, {\"weight\": 7963, \"source\": 1, \"target\": 4}, {\"weight\": 3971, \"source\": 1, \"target\": 6}, {\"weight\": 9554, \"source\": 1, \"target\": 5}, {\"weight\": 2790, \"source\": 2, \"target\": 8}, {\"weight\": 7593, \"source\": 2, \"target\": 3}, {\"weight\": 9354, \"source\": 2, \"target\": 7}, {\"weight\": 7955, \"source\": 2, \"target\": 4}, {\"weight\": 3523, \"source\": 2, \"target\": 6}, {\"weight\": 9585, \"source\": 2, \"target\": 5}, {\"weight\": 2366, \"source\": 3, \"target\": 7}, {\"weight\": 8251, \"source\": 3, \"target\": 8}, {\"weight\": 12600, \"source\": 3, \"target\": 4}, {\"weight\": 7215, \"source\": 3, \"target\": 6}, {\"weight\": 2401, \"source\": 3, \"target\": 5}, {\"weight\": 5165, \"source\": 4, \"target\": 8}, {\"weight\": 13968, \"source\": 4, \"target\": 7}, {\"weight\": 6157, \"source\": 4, \"target\": 6}, {\"weight\": 14444, \"source\": 4, \"target\": 5}, {\"weight\": 10366, \"source\": 5, \"target\": 8}, {\"weight\": 3821, \"source\": 5, \"target\": 7}, {\"weight\": 9177, \"source\": 5, \"target\": 6}, {\"weight\": 2502, \"source\": 6, \"target\": 8}, {\"weight\": 8529, \"source\": 6, \"target\": 7}, {\"weight\": 9835, \"source\": 7, \"target\": 8}]}",
"id": 2294,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ASF, OGX, CFK, MDT, IXD, UST, JOE, DEN, IST\n- Travel distances (in kilometers) between each pair of airports:\nASF to IST: 2235\nASF to MDT: 9028\nASF to DEN: 10342\nASF to OGX: 4570\nASF to CFK: 4482\nASF to IXD: 4117\nASF to JOE: 2531\nASF to UST: 10973\nOGX to IST: 2798\nOGX to MDT: 7301\nOGX to DEN: 9430\nOGX to CFK: 2205\nOGX to IXD: 7963\nOGX to JOE: 3971\nOGX to UST: 9554\nCFK to IST: 2790\nCFK to MDT: 7593\nCFK to DEN: 9354\nCFK to IXD: 7955\nCFK to JOE: 3523\nCFK to UST: 9585\nMDT to DEN: 2366\nMDT to IST: 8251\nMDT to IXD: 12600\nMDT to JOE: 7215\nMDT to UST: 2401\nIXD to IST: 5165\nIXD to DEN: 13968\nIXD to JOE: 6157\nIXD to UST: 14444\nUST to IST: 10366\nUST to DEN: 3821\nUST to JOE: 9177\nJOE to IST: 2502\nJOE to DEN: 8529\nDEN to IST: 9835\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: JAX, CZE, MAU, IXL, BDQ, BJM, BAX, DLH, ATC\n- Travel distances (in kilometers) between each pair of airports:\nJAX to BDQ: 13879\nJAX to IXL: 13281\nJAX to BJM: 13077\nJAX to DLH: 2030\nJAX to ATC: 976\nJAX to BAX: 11737\nJAX to CZE: 3038\nJAX to MAU: 10375\nCZE to BDQ: 15204\nCZE to IXL: 14654\nCZE to BJM: 12887\nCZE to DLH: 5014\nCZE to ATC: 2559\nCZE to BAX: 13303\nCZE to MAU: 13074\nMAU to BDQ: 16453\nMAU to IXL: 16277\nMAU to BJM: 19492\nMAU to DLH: 9540\nMAU to ATC: 11147\nMAU to BAX: 19598\nIXL to BDQ: 1416\nIXL to BJM: 6867\nIXL to DLH: 13207\nIXL to ATC: 13851\nIXL to BAX: 7353\nBDQ to BJM: 5767\nBDQ to DLH: 13455\nBDQ to ATC: 14495\nBDQ to BAX: 8014\nBJM to DLH: 13499\nBJM to ATC: 13688\nBJM to BAX: 9523\nBAX to DLH: 11636\nBAX to ATC: 12307\nDLH to ATC: 2928\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 61391,
"style": "rule"
}
|
{
"exact_answer": 61391,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"JAX\", \"id\": 0}, {\"name\": \"CZE\", \"id\": 1}, {\"name\": \"MAU\", \"id\": 2}, {\"name\": \"IXL\", \"id\": 3}, {\"name\": \"BDQ\", \"id\": 4}, {\"name\": \"BJM\", \"id\": 5}, {\"name\": \"BAX\", \"id\": 6}, {\"name\": \"DLH\", \"id\": 7}, {\"name\": \"ATC\", \"id\": 8}], \"links\": [{\"weight\": 13879, \"source\": 0, \"target\": 4}, {\"weight\": 13281, \"source\": 0, \"target\": 3}, {\"weight\": 13077, \"source\": 0, \"target\": 5}, {\"weight\": 2030, \"source\": 0, \"target\": 7}, {\"weight\": 976, \"source\": 0, \"target\": 8}, {\"weight\": 11737, \"source\": 0, \"target\": 6}, {\"weight\": 3038, \"source\": 0, \"target\": 1}, {\"weight\": 10375, \"source\": 0, \"target\": 2}, {\"weight\": 15204, \"source\": 1, \"target\": 4}, {\"weight\": 14654, \"source\": 1, \"target\": 3}, {\"weight\": 12887, \"source\": 1, \"target\": 5}, {\"weight\": 5014, \"source\": 1, \"target\": 7}, {\"weight\": 2559, \"source\": 1, \"target\": 8}, {\"weight\": 13303, \"source\": 1, \"target\": 6}, {\"weight\": 13074, \"source\": 1, \"target\": 2}, {\"weight\": 16453, \"source\": 2, \"target\": 4}, {\"weight\": 16277, \"source\": 2, \"target\": 3}, {\"weight\": 19492, \"source\": 2, \"target\": 5}, {\"weight\": 9540, \"source\": 2, \"target\": 7}, {\"weight\": 11147, \"source\": 2, \"target\": 8}, {\"weight\": 19598, \"source\": 2, \"target\": 6}, {\"weight\": 1416, \"source\": 3, \"target\": 4}, {\"weight\": 6867, \"source\": 3, \"target\": 5}, {\"weight\": 13207, \"source\": 3, \"target\": 7}, {\"weight\": 13851, \"source\": 3, \"target\": 8}, {\"weight\": 7353, \"source\": 3, \"target\": 6}, {\"weight\": 5767, \"source\": 4, \"target\": 5}, {\"weight\": 13455, \"source\": 4, \"target\": 7}, {\"weight\": 14495, \"source\": 4, \"target\": 8}, {\"weight\": 8014, \"source\": 4, \"target\": 6}, {\"weight\": 13499, \"source\": 5, \"target\": 7}, {\"weight\": 13688, \"source\": 5, \"target\": 8}, {\"weight\": 9523, \"source\": 5, \"target\": 6}, {\"weight\": 11636, \"source\": 6, \"target\": 7}, {\"weight\": 12307, \"source\": 6, \"target\": 8}, {\"weight\": 2928, \"source\": 7, \"target\": 8}]}",
"id": 2295,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: JAX, CZE, MAU, IXL, BDQ, BJM, BAX, DLH, ATC\n- Travel distances (in kilometers) between each pair of airports:\nJAX to BDQ: 13879\nJAX to IXL: 13281\nJAX to BJM: 13077\nJAX to DLH: 2030\nJAX to ATC: 976\nJAX to BAX: 11737\nJAX to CZE: 3038\nJAX to MAU: 10375\nCZE to BDQ: 15204\nCZE to IXL: 14654\nCZE to BJM: 12887\nCZE to DLH: 5014\nCZE to ATC: 2559\nCZE to BAX: 13303\nCZE to MAU: 13074\nMAU to BDQ: 16453\nMAU to IXL: 16277\nMAU to BJM: 19492\nMAU to DLH: 9540\nMAU to ATC: 11147\nMAU to BAX: 19598\nIXL to BDQ: 1416\nIXL to BJM: 6867\nIXL to DLH: 13207\nIXL to ATC: 13851\nIXL to BAX: 7353\nBDQ to BJM: 5767\nBDQ to DLH: 13455\nBDQ to ATC: 14495\nBDQ to BAX: 8014\nBJM to DLH: 13499\nBJM to ATC: 13688\nBJM to BAX: 9523\nBAX to DLH: 11636\nBAX to ATC: 12307\nDLH to ATC: 2928\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: MAQ, LIG, BQB, CZM, KHH, MWZ, DBA, TCT, BQL\n- Travel distances (in kilometers) between each pair of airports:\nMAQ to TCT: 15072\nMAQ to CZM: 16597\nMAQ to KHH: 2724\nMAQ to LIG: 10048\nMAQ to MWZ: 8617\nMAQ to BQB: 5935\nMAQ to DBA: 4811\nMAQ to BQL: 6681\nLIG to TCT: 11005\nLIG to CZM: 8600\nLIG to KHH: 10366\nLIG to MWZ: 7099\nLIG to BQB: 14531\nLIG to DBA: 6401\nLIG to BQL: 15782\nBQB to TCT: 16209\nBQB to CZM: 18804\nBQB to KHH: 6345\nBQB to MWZ: 9516\nBQB to DBA: 9304\nBQB to BQL: 4402\nCZM to TCT: 6971\nCZM to KHH: 14442\nCZM to MWZ: 14743\nCZM to DBA: 14613\nCZM to BQL: 16763\nKHH to TCT: 12782\nKHH to MWZ: 9866\nKHH to DBA: 5922\nKHH to BQL: 5633\nMWZ to TCT: 17674\nMWZ to DBA: 5140\nMWZ to BQL: 13178\nDBA to TCT: 15872\nDBA to BQL: 10149\nTCT to BQL: 14168\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 60260,
"style": "rule"
}
|
{
"exact_answer": 60260,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"MAQ\", \"id\": 0}, {\"name\": \"LIG\", \"id\": 1}, {\"name\": \"BQB\", \"id\": 2}, {\"name\": \"CZM\", \"id\": 3}, {\"name\": \"KHH\", \"id\": 4}, {\"name\": \"MWZ\", \"id\": 5}, {\"name\": \"DBA\", \"id\": 6}, {\"name\": \"TCT\", \"id\": 7}, {\"name\": \"BQL\", \"id\": 8}], \"links\": [{\"weight\": 15072, \"source\": 0, \"target\": 7}, {\"weight\": 16597, \"source\": 0, \"target\": 3}, {\"weight\": 2724, \"source\": 0, \"target\": 4}, {\"weight\": 10048, \"source\": 0, \"target\": 1}, {\"weight\": 8617, \"source\": 0, \"target\": 5}, {\"weight\": 5935, \"source\": 0, \"target\": 2}, {\"weight\": 4811, \"source\": 0, \"target\": 6}, {\"weight\": 6681, \"source\": 0, \"target\": 8}, {\"weight\": 11005, \"source\": 1, \"target\": 7}, {\"weight\": 8600, \"source\": 1, \"target\": 3}, {\"weight\": 10366, \"source\": 1, \"target\": 4}, {\"weight\": 7099, \"source\": 1, \"target\": 5}, {\"weight\": 14531, \"source\": 1, \"target\": 2}, {\"weight\": 6401, \"source\": 1, \"target\": 6}, {\"weight\": 15782, \"source\": 1, \"target\": 8}, {\"weight\": 16209, \"source\": 2, \"target\": 7}, {\"weight\": 18804, \"source\": 2, \"target\": 3}, {\"weight\": 6345, \"source\": 2, \"target\": 4}, {\"weight\": 9516, \"source\": 2, \"target\": 5}, {\"weight\": 9304, \"source\": 2, \"target\": 6}, {\"weight\": 4402, \"source\": 2, \"target\": 8}, {\"weight\": 6971, \"source\": 3, \"target\": 7}, {\"weight\": 14442, \"source\": 3, \"target\": 4}, {\"weight\": 14743, \"source\": 3, \"target\": 5}, {\"weight\": 14613, \"source\": 3, \"target\": 6}, {\"weight\": 16763, \"source\": 3, \"target\": 8}, {\"weight\": 12782, \"source\": 4, \"target\": 7}, {\"weight\": 9866, \"source\": 4, \"target\": 5}, {\"weight\": 5922, \"source\": 4, \"target\": 6}, {\"weight\": 5633, \"source\": 4, \"target\": 8}, {\"weight\": 17674, \"source\": 5, \"target\": 7}, {\"weight\": 5140, \"source\": 5, \"target\": 6}, {\"weight\": 13178, \"source\": 5, \"target\": 8}, {\"weight\": 15872, \"source\": 6, \"target\": 7}, {\"weight\": 10149, \"source\": 6, \"target\": 8}, {\"weight\": 14168, \"source\": 7, \"target\": 8}]}",
"id": 2296,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: MAQ, LIG, BQB, CZM, KHH, MWZ, DBA, TCT, BQL\n- Travel distances (in kilometers) between each pair of airports:\nMAQ to TCT: 15072\nMAQ to CZM: 16597\nMAQ to KHH: 2724\nMAQ to LIG: 10048\nMAQ to MWZ: 8617\nMAQ to BQB: 5935\nMAQ to DBA: 4811\nMAQ to BQL: 6681\nLIG to TCT: 11005\nLIG to CZM: 8600\nLIG to KHH: 10366\nLIG to MWZ: 7099\nLIG to BQB: 14531\nLIG to DBA: 6401\nLIG to BQL: 15782\nBQB to TCT: 16209\nBQB to CZM: 18804\nBQB to KHH: 6345\nBQB to MWZ: 9516\nBQB to DBA: 9304\nBQB to BQL: 4402\nCZM to TCT: 6971\nCZM to KHH: 14442\nCZM to MWZ: 14743\nCZM to DBA: 14613\nCZM to BQL: 16763\nKHH to TCT: 12782\nKHH to MWZ: 9866\nKHH to DBA: 5922\nKHH to BQL: 5633\nMWZ to TCT: 17674\nMWZ to DBA: 5140\nMWZ to BQL: 13178\nDBA to TCT: 15872\nDBA to BQL: 10149\nTCT to BQL: 14168\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SPC, HUH, BKK, KGS, MJF, BTM, FVM, GCN, GDV\n- Travel distances (in kilometers) between each pair of airports:\nSPC to BKK: 11949\nSPC to KGS: 4370\nSPC to GDV: 8895\nSPC to BTM: 9541\nSPC to FVM: 10678\nSPC to HUH: 16568\nSPC to MJF: 4791\nSPC to GCN: 9195\nHUH to BKK: 13520\nHUH to KGS: 18184\nHUH to GDV: 8683\nHUH to BTM: 8314\nHUH to FVM: 16300\nHUH to MJF: 15809\nHUH to GCN: 7638\nBKK to KGS: 8150\nBKK to GDV: 13382\nBKK to BTM: 13665\nBKK to FVM: 3666\nBKK to MJF: 9058\nBKK to GCN: 14142\nKGS to GDV: 10656\nKGS to BTM: 11129\nKGS to FVM: 6809\nKGS to MJF: 3447\nKGS to GCN: 10974\nMJF to GDV: 8691\nMJF to BTM: 8812\nMJF to FVM: 9067\nMJF to GCN: 8437\nBTM to GDV: 1521\nBTM to FVM: 16720\nBTM to GCN: 1909\nFVM to GDV: 16437\nFVM to GCN: 16929\nGCN to GDV: 1853\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 52196,
"style": "rule"
}
|
{
"exact_answer": 52196,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"SPC\", \"id\": 0}, {\"name\": \"HUH\", \"id\": 1}, {\"name\": \"BKK\", \"id\": 2}, {\"name\": \"KGS\", \"id\": 3}, {\"name\": \"MJF\", \"id\": 4}, {\"name\": \"BTM\", \"id\": 5}, {\"name\": \"FVM\", \"id\": 6}, {\"name\": \"GCN\", \"id\": 7}, {\"name\": \"GDV\", \"id\": 8}], \"links\": [{\"weight\": 11949, \"source\": 0, \"target\": 2}, {\"weight\": 4370, \"source\": 0, \"target\": 3}, {\"weight\": 8895, \"source\": 0, \"target\": 8}, {\"weight\": 9541, \"source\": 0, \"target\": 5}, {\"weight\": 10678, \"source\": 0, \"target\": 6}, {\"weight\": 16568, \"source\": 0, \"target\": 1}, {\"weight\": 4791, \"source\": 0, \"target\": 4}, {\"weight\": 9195, \"source\": 0, \"target\": 7}, {\"weight\": 13520, \"source\": 1, \"target\": 2}, {\"weight\": 18184, \"source\": 1, \"target\": 3}, {\"weight\": 8683, \"source\": 1, \"target\": 8}, {\"weight\": 8314, \"source\": 1, \"target\": 5}, {\"weight\": 16300, \"source\": 1, \"target\": 6}, {\"weight\": 15809, \"source\": 1, \"target\": 4}, {\"weight\": 7638, \"source\": 1, \"target\": 7}, {\"weight\": 8150, \"source\": 2, \"target\": 3}, {\"weight\": 13382, \"source\": 2, \"target\": 8}, {\"weight\": 13665, \"source\": 2, \"target\": 5}, {\"weight\": 3666, \"source\": 2, \"target\": 6}, {\"weight\": 9058, \"source\": 2, \"target\": 4}, {\"weight\": 14142, \"source\": 2, \"target\": 7}, {\"weight\": 10656, \"source\": 3, \"target\": 8}, {\"weight\": 11129, \"source\": 3, \"target\": 5}, {\"weight\": 6809, \"source\": 3, \"target\": 6}, {\"weight\": 3447, \"source\": 3, \"target\": 4}, {\"weight\": 10974, \"source\": 3, \"target\": 7}, {\"weight\": 8691, \"source\": 4, \"target\": 8}, {\"weight\": 8812, \"source\": 4, \"target\": 5}, {\"weight\": 9067, \"source\": 4, \"target\": 6}, {\"weight\": 8437, \"source\": 4, \"target\": 7}, {\"weight\": 1521, \"source\": 5, \"target\": 8}, {\"weight\": 16720, \"source\": 5, \"target\": 6}, {\"weight\": 1909, \"source\": 5, \"target\": 7}, {\"weight\": 16437, \"source\": 6, \"target\": 8}, {\"weight\": 16929, \"source\": 6, \"target\": 7}, {\"weight\": 1853, \"source\": 7, \"target\": 8}]}",
"id": 2297,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SPC, HUH, BKK, KGS, MJF, BTM, FVM, GCN, GDV\n- Travel distances (in kilometers) between each pair of airports:\nSPC to BKK: 11949\nSPC to KGS: 4370\nSPC to GDV: 8895\nSPC to BTM: 9541\nSPC to FVM: 10678\nSPC to HUH: 16568\nSPC to MJF: 4791\nSPC to GCN: 9195\nHUH to BKK: 13520\nHUH to KGS: 18184\nHUH to GDV: 8683\nHUH to BTM: 8314\nHUH to FVM: 16300\nHUH to MJF: 15809\nHUH to GCN: 7638\nBKK to KGS: 8150\nBKK to GDV: 13382\nBKK to BTM: 13665\nBKK to FVM: 3666\nBKK to MJF: 9058\nBKK to GCN: 14142\nKGS to GDV: 10656\nKGS to BTM: 11129\nKGS to FVM: 6809\nKGS to MJF: 3447\nKGS to GCN: 10974\nMJF to GDV: 8691\nMJF to BTM: 8812\nMJF to FVM: 9067\nMJF to GCN: 8437\nBTM to GDV: 1521\nBTM to FVM: 16720\nBTM to GCN: 1909\nFVM to GDV: 16437\nFVM to GCN: 16929\nGCN to GDV: 1853\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CTS, BLV, FSC, TET, CCC, QJH, THN, VAS, ULO\n- Travel distances (in kilometers) between each pair of airports:\nCTS to FSC: 9921\nCTS to CCC: 13246\nCTS to THN: 8487\nCTS to ULO: 4369\nCTS to BLV: 13762\nCTS to QJH: 12167\nCTS to VAS: 9451\nCTS to TET: 13373\nBLV to FSC: 9536\nBLV to CCC: 2956\nBLV to THN: 9705\nBLV to ULO: 15756\nBLV to QJH: 8969\nBLV to VAS: 11501\nBLV to TET: 16914\nFSC to CCC: 8674\nFSC to THN: 2599\nFSC to ULO: 8548\nFSC to QJH: 5201\nFSC to VAS: 2774\nFSC to TET: 8557\nTET to CCC: 15121\nTET to THN: 9735\nTET to ULO: 11841\nTET to QJH: 12866\nTET to VAS: 7685\nCCC to THN: 8858\nCCC to ULO: 15186\nCCC to QJH: 8515\nCCC to VAS: 10491\nQJH to THN: 4702\nQJH to ULO: 11032\nQJH to VAS: 6816\nTHN to ULO: 7352\nTHN to VAS: 3532\nVAS to ULO: 8001\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 59141,
"style": "rule"
}
|
{
"exact_answer": 59141,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"CTS\", \"id\": 0}, {\"name\": \"BLV\", \"id\": 1}, {\"name\": \"FSC\", \"id\": 2}, {\"name\": \"TET\", \"id\": 3}, {\"name\": \"CCC\", \"id\": 4}, {\"name\": \"QJH\", \"id\": 5}, {\"name\": \"THN\", \"id\": 6}, {\"name\": \"VAS\", \"id\": 7}, {\"name\": \"ULO\", \"id\": 8}], \"links\": [{\"weight\": 9921, \"source\": 0, \"target\": 2}, {\"weight\": 13246, \"source\": 0, \"target\": 4}, {\"weight\": 8487, \"source\": 0, \"target\": 6}, {\"weight\": 4369, \"source\": 0, \"target\": 8}, {\"weight\": 13762, \"source\": 0, \"target\": 1}, {\"weight\": 12167, \"source\": 0, \"target\": 5}, {\"weight\": 9451, \"source\": 0, \"target\": 7}, {\"weight\": 13373, \"source\": 0, \"target\": 3}, {\"weight\": 9536, \"source\": 1, \"target\": 2}, {\"weight\": 2956, \"source\": 1, \"target\": 4}, {\"weight\": 9705, \"source\": 1, \"target\": 6}, {\"weight\": 15756, \"source\": 1, \"target\": 8}, {\"weight\": 8969, \"source\": 1, \"target\": 5}, {\"weight\": 11501, \"source\": 1, \"target\": 7}, {\"weight\": 16914, \"source\": 1, \"target\": 3}, {\"weight\": 8674, \"source\": 2, \"target\": 4}, {\"weight\": 2599, \"source\": 2, \"target\": 6}, {\"weight\": 8548, \"source\": 2, \"target\": 8}, {\"weight\": 5201, \"source\": 2, \"target\": 5}, {\"weight\": 2774, \"source\": 2, \"target\": 7}, {\"weight\": 8557, \"source\": 2, \"target\": 3}, {\"weight\": 15121, \"source\": 3, \"target\": 4}, {\"weight\": 9735, \"source\": 3, \"target\": 6}, {\"weight\": 11841, \"source\": 3, \"target\": 8}, {\"weight\": 12866, \"source\": 3, \"target\": 5}, {\"weight\": 7685, \"source\": 3, \"target\": 7}, {\"weight\": 8858, \"source\": 4, \"target\": 6}, {\"weight\": 15186, \"source\": 4, \"target\": 8}, {\"weight\": 8515, \"source\": 4, \"target\": 5}, {\"weight\": 10491, \"source\": 4, \"target\": 7}, {\"weight\": 4702, \"source\": 5, \"target\": 6}, {\"weight\": 11032, \"source\": 5, \"target\": 8}, {\"weight\": 6816, \"source\": 5, \"target\": 7}, {\"weight\": 7352, \"source\": 6, \"target\": 8}, {\"weight\": 3532, \"source\": 6, \"target\": 7}, {\"weight\": 8001, \"source\": 7, \"target\": 8}]}",
"id": 2298,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CTS, BLV, FSC, TET, CCC, QJH, THN, VAS, ULO\n- Travel distances (in kilometers) between each pair of airports:\nCTS to FSC: 9921\nCTS to CCC: 13246\nCTS to THN: 8487\nCTS to ULO: 4369\nCTS to BLV: 13762\nCTS to QJH: 12167\nCTS to VAS: 9451\nCTS to TET: 13373\nBLV to FSC: 9536\nBLV to CCC: 2956\nBLV to THN: 9705\nBLV to ULO: 15756\nBLV to QJH: 8969\nBLV to VAS: 11501\nBLV to TET: 16914\nFSC to CCC: 8674\nFSC to THN: 2599\nFSC to ULO: 8548\nFSC to QJH: 5201\nFSC to VAS: 2774\nFSC to TET: 8557\nTET to CCC: 15121\nTET to THN: 9735\nTET to ULO: 11841\nTET to QJH: 12866\nTET to VAS: 7685\nCCC to THN: 8858\nCCC to ULO: 15186\nCCC to QJH: 8515\nCCC to VAS: 10491\nQJH to THN: 4702\nQJH to ULO: 11032\nQJH to VAS: 6816\nTHN to ULO: 7352\nTHN to VAS: 3532\nVAS to ULO: 8001\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SAB, ISG, ZBR, MBJ, HUH, BLA, YTL, TQA, YZZ\n- Travel distances (in kilometers) between each pair of airports:\nSAB to YZZ: 6829\nSAB to BLA: 1152\nSAB to MBJ: 1608\nSAB to ISG: 15459\nSAB to ZBR: 12399\nSAB to TQA: 9184\nSAB to HUH: 12562\nSAB to YTL: 4902\nISG to YZZ: 9910\nISG to BLA: 16349\nISG to MBJ: 14812\nISG to ZBR: 6931\nISG to TQA: 13208\nISG to HUH: 11638\nISG to YTL: 11975\nZBR to YZZ: 13040\nZBR to BLA: 13169\nZBR to MBJ: 13389\nZBR to TQA: 9496\nZBR to HUH: 17769\nZBR to YTL: 13200\nMBJ to YZZ: 5712\nMBJ to BLA: 1724\nMBJ to TQA: 9115\nMBJ to HUH: 11177\nMBJ to YTL: 4417\nHUH to YZZ: 8934\nHUH to BLA: 12899\nHUH to TQA: 16357\nHUH to YTL: 10099\nBLA to YZZ: 7337\nBLA to TQA: 10147\nBLA to YTL: 5754\nYTL to YZZ: 3091\nYTL to TQA: 8244\nTQA to YZZ: 8595\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 56567,
"style": "rule"
}
|
{
"exact_answer": 56567,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"SAB\", \"id\": 0}, {\"name\": \"ISG\", \"id\": 1}, {\"name\": \"ZBR\", \"id\": 2}, {\"name\": \"MBJ\", \"id\": 3}, {\"name\": \"HUH\", \"id\": 4}, {\"name\": \"BLA\", \"id\": 5}, {\"name\": \"YTL\", \"id\": 6}, {\"name\": \"TQA\", \"id\": 7}, {\"name\": \"YZZ\", \"id\": 8}], \"links\": [{\"weight\": 6829, \"source\": 0, \"target\": 8}, {\"weight\": 1152, \"source\": 0, \"target\": 5}, {\"weight\": 1608, \"source\": 0, \"target\": 3}, {\"weight\": 15459, \"source\": 0, \"target\": 1}, {\"weight\": 12399, \"source\": 0, \"target\": 2}, {\"weight\": 9184, \"source\": 0, \"target\": 7}, {\"weight\": 12562, \"source\": 0, \"target\": 4}, {\"weight\": 4902, \"source\": 0, \"target\": 6}, {\"weight\": 9910, \"source\": 1, \"target\": 8}, {\"weight\": 16349, \"source\": 1, \"target\": 5}, {\"weight\": 14812, \"source\": 1, \"target\": 3}, {\"weight\": 6931, \"source\": 1, \"target\": 2}, {\"weight\": 13208, \"source\": 1, \"target\": 7}, {\"weight\": 11638, \"source\": 1, \"target\": 4}, {\"weight\": 11975, \"source\": 1, \"target\": 6}, {\"weight\": 13040, \"source\": 2, \"target\": 8}, {\"weight\": 13169, \"source\": 2, \"target\": 5}, {\"weight\": 13389, \"source\": 2, \"target\": 3}, {\"weight\": 9496, \"source\": 2, \"target\": 7}, {\"weight\": 17769, \"source\": 2, \"target\": 4}, {\"weight\": 13200, \"source\": 2, \"target\": 6}, {\"weight\": 5712, \"source\": 3, \"target\": 8}, {\"weight\": 1724, \"source\": 3, \"target\": 5}, {\"weight\": 9115, \"source\": 3, \"target\": 7}, {\"weight\": 11177, \"source\": 3, \"target\": 4}, {\"weight\": 4417, \"source\": 3, \"target\": 6}, {\"weight\": 8934, \"source\": 4, \"target\": 8}, {\"weight\": 12899, \"source\": 4, \"target\": 5}, {\"weight\": 16357, \"source\": 4, \"target\": 7}, {\"weight\": 10099, \"source\": 4, \"target\": 6}, {\"weight\": 7337, \"source\": 5, \"target\": 8}, {\"weight\": 10147, \"source\": 5, \"target\": 7}, {\"weight\": 5754, \"source\": 5, \"target\": 6}, {\"weight\": 3091, \"source\": 6, \"target\": 8}, {\"weight\": 8244, \"source\": 6, \"target\": 7}, {\"weight\": 8595, \"source\": 7, \"target\": 8}]}",
"id": 2299,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SAB, ISG, ZBR, MBJ, HUH, BLA, YTL, TQA, YZZ\n- Travel distances (in kilometers) between each pair of airports:\nSAB to YZZ: 6829\nSAB to BLA: 1152\nSAB to MBJ: 1608\nSAB to ISG: 15459\nSAB to ZBR: 12399\nSAB to TQA: 9184\nSAB to HUH: 12562\nSAB to YTL: 4902\nISG to YZZ: 9910\nISG to BLA: 16349\nISG to MBJ: 14812\nISG to ZBR: 6931\nISG to TQA: 13208\nISG to HUH: 11638\nISG to YTL: 11975\nZBR to YZZ: 13040\nZBR to BLA: 13169\nZBR to MBJ: 13389\nZBR to TQA: 9496\nZBR to HUH: 17769\nZBR to YTL: 13200\nMBJ to YZZ: 5712\nMBJ to BLA: 1724\nMBJ to TQA: 9115\nMBJ to HUH: 11177\nMBJ to YTL: 4417\nHUH to YZZ: 8934\nHUH to BLA: 12899\nHUH to TQA: 16357\nHUH to YTL: 10099\nBLA to YZZ: 7337\nBLA to TQA: 10147\nBLA to YTL: 5754\nYTL to YZZ: 3091\nYTL to TQA: 8244\nTQA to YZZ: 8595\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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